text
stringlengths 1
4.74k
| code
stringlengths 69
637k
|
|---|---|
Setting of initial conditions. There are several ways to set initial conditions.
In the first system the position of the mass m3 was defined
by using the modifier s(start=4.5), the position of m4 by s(start=12.5).
These positions were chosen such that the system is at rest. To calculate
these values start at the left (fixed2) with a value of 1 m. The spring s2
has an unstretched length of 2 m and m3 an length of 3 m, which leads to | within Modelica.Mechanics.Translational.Examples;
model InitialConditions "Setting of initial conditions"
extends Modelica.Icons.Example;
Translational.Components.Fixed fixed2(s0=1)
Translational.Components.Spring s2(s_rel0=2, c=1e3)
Translational.Components.Mass m3(
L=3,
s(start=4.5, fixed=true),
v(fixed=true),
m=1)
Translational.Components.SpringDamper sd2(
s_rel0=4,
c=111,
d=1)
Translational.Components.Mass m4(
L=5,
s(start=12.5, fixed=true),
v(fixed=true),
m=1)
Translational.Components.Fixed fixed1(s0=-1)
Translational.Components.Spring s1(
s_rel0=1,
c=1e3,
s_rel(start=0.5, fixed=true))
Translational.Components.Mass m1(
L=1,
v(fixed=true),
m=1)
Translational.Components.SpringDamper sd1(
s_rel0=1,
c=111,
s_rel(start=1, fixed=true),
v_rel(fixed=true),
d=1)
Translational.Components.Mass m2(L=2, m=1)
equation
connect(s2.flange_a, fixed2.flange)
connect(s1.flange_a, fixed1.flange)
connect(m1.flange_a, s1.flange_b)
connect(sd1.flange_a, m1.flange_b)
connect(m2.flange_a, sd1.flange_b)
connect(m4.flange_a, sd2.flange_b)
connect(sd2.flange_a, m3.flange_b)
connect(m3.flange_a, s2.flange_b)
end InitialConditions; |
Oscillator demonstrates the use of initial conditions. A spring - mass system is a mechanical oscillator. If no
damping is included and the system is excited at resonance
frequency infinite amplitudes will result.
The resonant frequency is given by
omega_res = sqrt(c / m)
with: | within Modelica.Mechanics.Translational.Examples;
model Oscillator "Oscillator demonstrates the use of initial conditions"
extends Modelica.Icons.Example;
Translational.Components.Mass mass1(
L=1,
s(start=-0.5, fixed=true),
v(start=0, fixed=true),
m=1)
Translational.Components.Spring spring1(s_rel0=1, c=10000)
Translational.Components.Fixed fixed1(s0=1)
Translational.Sources.Force force1
Modelica.Blocks.Sources.Sine sine1(f=15.9155)
Translational.Components.Mass mass2(
L=1,
s(start=-0.5, fixed=true),
v(start=0, fixed=true),
m=1)
Translational.Components.Spring spring2(s_rel0=1, c=10000)
Translational.Components.Fixed fixed2(s0=1)
Translational.Sources.Force force2
Modelica.Blocks.Sources.Sine sine2(f=15.9155)
Translational.Components.Damper damper1(d=10)
equation
connect(mass1.flange_b, spring1.flange_a)
connect(spring2.flange_a, damper1.flange_a)
connect(mass2.flange_b, spring2.flange_a)
connect(damper1.flange_b, spring2.flange_b)
connect(sine1.y, force1.f)
connect(sine2.y, force2.f)
connect(spring1.flange_b, fixed1.flange)
connect(force2.flange, mass2.flange_a)
connect(force1.flange, mass1.flange_a)
connect(spring2.flange_b, fixed2.flange)
end Oscillator; |
Demonstration examples of the components of this package | within Modelica.Mechanics.Translational;
package Examples "Demonstration examples of the components of this package"
extends Modelica.Icons.ExamplesPackage;
end Examples; |
Preload of a spool using ElastoGap models. When designing hydraulic valves it is often necessary to hold the spool in
a certain position as long as an external force is below a threshold value.
If this force exceeds the threshold value a linear relation between force
and position is desired.
There are designs that need only one spring to accomplish this task. Using
the ElastoGap elements this design can be modelled easily.
Drawing of spool. | within Modelica.Mechanics.Translational.Examples;
model PreLoad "Preload of a spool using ElastoGap models"
extends Modelica.Icons.Example;
Translational.Components.ElastoGap innerContactA(
c=1000e3,
d=250,
s_rel0=0.001)
Translational.Components.ElastoGap innerContactB(
c=1000e3,
d=250,
s_rel0=0.001)
Translational.Components.Mass spool(
L=0.19,
m=0.150,
s(start=0.01475, fixed=true),
v(fixed=true))
Translational.Components.Fixed fixedLe(s0=-0.0955)
Translational.Components.Mass springPlateA(
m=10e-3,
L=0.002,
s(start=-0.093, fixed=true),
v(fixed=true))
Translational.Components.Mass springPlateB(
m=10e-3,
s(start=-0.06925, fixed=true),
L=0.002,
v(fixed=true))
Translational.Components.Spring spring(c=20e3, s_rel0=0.025)
Translational.Components.ElastoGap outerContactA(
c=1000e3,
d=250,
s_rel0=0.0015)
Translational.Components.ElastoGap outerContactB(
c=1000e3,
d=250,
s_rel0=0.0015)
Translational.Components.Rod rod1(L=0.007)
Translational.Components.Damper friction(d=2500)
Translational.Sources.Force force
Translational.Components.Rod housing(L=0.0305)
Translational.Components.Rod rod3(L=0.00575)
Translational.Components.Rod rod4(L=0.00575)
Translational.Components.Rod rod2(L=0.007)
Modelica.Blocks.Sources.Sine sineForce(amplitude=150, f=0.01)
equation
connect(outerContactA.flange_b, springPlateA.flange_a)
connect(springPlateA.flange_b, spring.flange_a)
connect(spring.flange_b, springPlateB.flange_a)
connect(springPlateB.flange_b, outerContactB.flange_a)
connect(outerContactB.flange_b, housing.flange_b)
connect(springPlateA.flange_b, rod1.flange_a)
connect(innerContactA.flange_a, rod3.flange_a)
connect(innerContactA.flange_b, rod1.flange_b)
connect(rod2.flange_a, innerContactB.flange_a)
connect(rod4.flange_b, innerContactB.flange_b)
connect(friction.flange_b, rod3.flange_a)
connect(rod3.flange_b, rod4.flange_a)
connect(rod2.flange_b, springPlateB.flange_a)
connect(spool.flange_a, rod4.flange_a)
connect(sineForce.y, force.f)
connect(force.flange, spool.flange_a)
connect(outerContactA.flange_a, fixedLe.flange)
connect(housing.flange_a, fixedLe.flange)
connect(friction.flange_a, fixedLe.flange)
end PreLoad; |
Sensors for translational systems. These sensors measure | within Modelica.Mechanics.Translational.Examples;
model Sensors "Sensors for translational systems"
extends Modelica.Icons.Example;
Translational.Sensors.ForceSensor forceSensor
Modelica.Mechanics.Translational.Sensors.MultiSensor multiSensor
Translational.Sensors.SpeedSensor speedSensor1
Translational.Sensors.PositionSensor positionSensor1
Translational.Sensors.AccSensor accSensor1
Translational.Sensors.PositionSensor positionSensor2
Translational.Components.Mass mass(
L=1,
s(fixed=true),
v(fixed=true),
m=1)
Translational.Sources.Force force
Modelica.Blocks.Sources.Sine sineForce(amplitude=10, f=4)
equation
connect(sineForce.y, force.f)
connect(forceSensor.flange_a, force.flange)
connect(mass.flange_a, positionSensor1.flange)
connect(mass.flange_a, speedSensor1.flange)
connect(mass.flange_a, accSensor1.flange)
connect(mass.flange_b, positionSensor2.flange)
connect(forceSensor.flange_b, multiSensor.flange_a)
connect(multiSensor.flange_b, mass.flange_a)
end Sensors; |
Examples for the used sign conventions. If all arrows point in the same direction, a positive force
results in a positive acceleration <var>a</var>, velocity <var>v</var> and position <var>s</var>. | within Modelica.Mechanics.Translational.Examples;
model SignConvention "Examples for the used sign conventions"
extends Modelica.Icons.Example;
Translational.Components.Mass mass1(
L=1,
s(fixed=true),
v(fixed=true),
m=1)
Translational.Sources.Force force1
Modelica.Blocks.Sources.Constant constant1(k=1)
Translational.Components.Mass mass2(
L=1,
s(fixed=true),
v(fixed=true),
m=1)
Translational.Sources.Force force2
Modelica.Blocks.Sources.Constant constant2(k=1)
Translational.Components.Mass mass3(
L=1,
s(fixed=true),
v(fixed=true),
m=1)
Translational.Sources.Force force3(useSupport=false)
Modelica.Blocks.Sources.Constant constant3(k=1)
Translational.Components.Fixed fixed
equation
connect(constant1.y, force1.f)
connect(constant2.y, force2.f)
connect(constant3.y, force3.f)
connect(force1.flange, mass1.flange_a)
connect(force2.flange, mass2.flange_b)
connect(mass3.flange_b, force3.flange)
connect(fixed.flange, force3.support)
end SignConvention; |
One-dimensional vehicle with driving resistances. Vehicles <code>vehicle</code> and <code>vehicle1</code> are accelerated
and decelerated by a driving torque.
Nominal torque is defined as the sum of driving resistances at nominal
velocity <code>vNom</code> times wheel radius <code>R</code>. | within Modelica.Mechanics.Translational.Examples;
model Vehicle "One-dimensional vehicle with driving resistances"
extends Modelica.Icons.Example;
import Modelica.Constants.g_n;
parameter SI.Mass m=100 "Mass of vehicle";
parameter SI.Length R=0.25 "Radius of wheel";
parameter SI.Area A=1 "Cross section of vehicle";
parameter Real Cd=0.5 "Drag resistance coefficient";
parameter SI.Density rho=1.18 "Density of air";
parameter SI.Velocity vWind=0 "Constant wind velocity";
parameter Real Cr=0.01 "Rolling resistance coefficient";
//Check nominal force
parameter Real inclination=0 "Constant inclination = tan(angle)";
parameter SI.Velocity vNom=25/3.5 "Nominal velocity";
final parameter SI.Force fDrag=Cd*A*rho*(vNom - vWind)^2/2 "Drag resistance"
final parameter SI.Angle alpha=atan(inclination) "Inclination angle"
final parameter SI.Force fRoll=Cr*m*g_n*cos(alpha) "Roll resistance"
final parameter SI.Force fGrav=m*g_n*sin(alpha) "Grav resistance"
Components.Vehicle vehicle(
m=m,
J=0,
R=R,
A=A,
Cd=Cd,
CrConstant=Cr,
vWindConstant=vWind,
useInclinationInput=true,
s(fixed=true),
v(fixed=true))
Components.Vehicle vehicle1(
m=m,
J=0,
R=R,
A=A,
Cd=Cd,
CrConstant=Cr,
vWindConstant=vWind,
useInclinationInput=true,
s(fixed=true),
v(fixed=true))
Components.Vehicle trailer(
m=m,
J=0,
R=R,
A=A,
Cd=Cd,
CrConstant=Cr,
vWindConstant=vWind,
useInclinationInput=true,
s(fixed=false),
v(fixed=false))
Modelica.Mechanics.Translational.Sensors.MultiSensor multiSensor
Modelica.Blocks.Sources.CombiTimeTable timeTableTorqueInclination(
table=[0,0,0; 5,0,0; 5,5.6,0; 10.8,5.6,0; 10.8,1,0; 20,1,0; 20,2.8,0.05;
25,2.8,0.05; 25,1,0; 50,1,0; 50,-5,0; 55,-5,0; 55,0,0; 60,0,0],
extrapolation=Modelica.Blocks.Types.Extrapolation.HoldLastPoint)
Rotational.Sources.Torque torque
Rotational.Sources.Torque torque1
Modelica.Blocks.Math.Gain gain(k=(fDrag + fRoll + fGrav)*R)
Blocks.Math.Gain gain1(k=2)
equation
connect(timeTableTorqueInclination.y[1], gain.u)
connect(timeTableTorqueInclination.y[2], vehicle.inclination)
connect(gain.y, torque.tau)
connect(torque.flange, vehicle.flangeR)
connect(torque1.flange, vehicle1.flangeR)
connect(vehicle.inclination, vehicle1.inclination)
connect(vehicle1.inclination, trailer.inclination)
connect(gain.y, gain1.u)
connect(gain1.y, torque1.tau)
connect(vehicle1.flangeT, multiSensor.flange_a)
connect(multiSensor.flange_b, trailer.flangeT)
end Vehicle; |
Use of arrows in Mechanics.Translational. When using the models of the translational sublibrary
it is recommended to make sure that all arrows point in
the same direction because then all component have the
same reference system.
In the example the distance from flange_a of Rod1 to flange_b
of Rod2 is 2 m. The distance from flange_a of Rod1 to flange_b
of Rod3 is also 2 m though it is difficult to see that. Without
the arrows it would be almost impossible to notice.
That all arrows point in the same direction is a sufficient
condition for an easy use of the library. There are cases
where horizontally flipped models can be used without
problems. | within Modelica.Mechanics.Translational.Examples;
model WhyArrows "Use of arrows in Mechanics.Translational"
extends Modelica.Icons.Example;
Translational.Components.Fixed fixed
Translational.Components.Rod rod1(L=1)
Translational.Components.Rod rod2(L=1)
Translational.Components.Rod rod3(L=1)
Translational.Sensors.PositionSensor positionSensor2
Translational.Sensors.PositionSensor positionSensor1
Translational.Sensors.PositionSensor positionSensor3
Translational.Components.Fixed fixed1(s0=-1.9)
Translational.Components.Spring spring1(s_rel0=2, c=11)
Translational.Components.Mass mass1(
L=2,
s(fixed=true),
v(fixed=true),
m=1)
Translational.Components.Fixed fixed2(s0=-1.9)
Translational.Components.Spring spring2(s_rel0=2, c=11)
Translational.Components.Mass inertia2(
L=2,
m=1,
s(fixed=true),
v(fixed=true))
equation
connect(spring1.flange_b, mass1.flange_b)
connect(spring2.flange_b, inertia2.flange_b)
connect(rod3.flange_b, positionSensor3.flange)
connect(rod1.flange_a, positionSensor1.flange)
connect(rod1.flange_b, fixed.flange)
connect(rod3.flange_a, fixed.flange)
connect(fixed.flange, rod2.flange_a)
connect(rod2.flange_b, positionSensor2.flange)
connect(fixed1.flange, spring1.flange_a)
connect(fixed2.flange, spring2.flange_a)
end WhyArrows; |
Input/output block of a direct mass model. A translational component with pure signal interface which can be applied for
a FMU (<a href=\"https://fmi-standard.org\">Functional Mock-up Unit</a>)
exchange.
The input force <code>fDrive</code> is applied on one side of a sliding mass
whereby the input force <code>f</code> is applied
on the other side of it. | within Modelica.Mechanics.Translational.Examples.Utilities;
model DirectMass "Input/output block of a direct mass model"
extends Modelica.Blocks.Icons.Block;
parameter SI.Mass m(min=0)=1 "Mass";
Modelica.Mechanics.Translational.Components.Mass mass(
m=m,
s(start=0, fixed=true),
v(start=0, fixed=true))
Modelica.Mechanics.Translational.Sources.Force forceSource
Modelica.Blocks.Interfaces.RealInput fDrive(unit="N")
"Accelerating force acting at flange (= -flange.f)"
Modelica.Mechanics.Translational.Components.GeneralForceToPositionAdaptor forceToPosition
Modelica.Blocks.Interfaces.RealOutput s(unit="m")
"Mass moves with position s due to force f"
Modelica.Blocks.Interfaces.RealOutput v(unit="m/s")
"Mass moves with speed v due to force f"
Modelica.Blocks.Interfaces.RealOutput a(unit="m/s2")
"Mass moves with acceleration a due to force f"
Modelica.Blocks.Interfaces.RealInput f(unit="N") "Force to drive the mass"
equation
connect(forceToPosition.f, f)
connect(forceToPosition.p, s)
connect(forceToPosition.pder, v)
connect(forceToPosition.pder2, a)
connect(fDrive, forceSource.f)
connect(forceSource.flange, mass.flange_a)
connect(mass.flange_b, forceToPosition.flange)
end DirectMass; |
Input/output block of an inverse mass model. A translational component with pure signal interface which can be applied for
a FMU (<a href=\"https://fmi-standard.org\">Functional Mock-up Unit</a>)
exchange.
Based on the kinematic inputs applied on a sliding mass
the output force <code>f</code> is returned. | within Modelica.Mechanics.Translational.Examples.Utilities;
model InverseMass "Input/output block of an inverse mass model"
extends Modelica.Blocks.Icons.Block;
parameter SI.Mass m=1 "Mass";
Modelica.Mechanics.Translational.Components.Mass mass(
m=m)
Modelica.Mechanics.Translational.Components.GeneralPositionToForceAdaptor positionToForce
Modelica.Blocks.Interfaces.RealInput s(unit="m") "Position to drive the mass"
Modelica.Blocks.Interfaces.RealInput v(unit="m/s") "Speed to drive the mass"
Modelica.Blocks.Interfaces.RealInput a(unit="m/s2")
"Acceleration to drive the mass"
Modelica.Blocks.Interfaces.RealOutput f(unit="N")
"Force needed to drive the flange according to s, v, a"
equation
connect(positionToForce.f, f)
connect(positionToForce.flange, mass.flange_a)
connect(positionToForce.p, s)
connect(positionToForce.pder, v)
connect(positionToForce.pder2, a)
end InverseMass; |
Utility classes used by translational example models | within Modelica.Mechanics.Translational.Examples;
package Utilities "Utility classes used by translational example models"
extends Modelica.Icons.UtilitiesPackage;
end Utilities; |
Input/output block of a spring model. A linear 1D translational spring with pure signal
interface which can be applied for
a FMU (<a href=\"https://fmi-standard.org\">Functional Mock-up Unit</a>)
exchange. | within Modelica.Mechanics.Translational.Examples.Utilities;
model Spring "Input/output block of a spring model"
extends Modelica.Blocks.Icons.Block;
parameter SI.TranslationalSpringConstant c=1e4
"Spring constant";
parameter SI.Length s_rel0=0
"Unstretched spring length";
Modelica.Mechanics.Translational.Components.GeneralPositionToForceAdaptor positionToForce1(use_pder=false, use_pder2=
false)
Modelica.Blocks.Interfaces.RealInput s1(unit="m")
"Position of left flange of force element"
Modelica.Blocks.Interfaces.RealOutput f1(unit="N")
"Force generated by the force element"
Modelica.Mechanics.Translational.Components.Spring spring(c=c,
s_rel0=s_rel0)
Modelica.Blocks.Interfaces.RealInput s2(unit="m")
"Position of right flange of force element"
Modelica.Blocks.Interfaces.RealOutput f2(unit="N")
"Force generated by the force element"
Modelica.Mechanics.Translational.Components.GeneralPositionToForceAdaptor positionToForce2(use_pder=false, use_pder2=
false)
equation
connect(f1, positionToForce1.f)
connect(positionToForce2.f, f2)
connect(positionToForce1.flange, spring.flange_a)
connect(spring.flange_b, positionToForce2.flange)
connect(positionToForce1.p, s1)
connect(positionToForce2.p, s2)
end Spring; |
Input/output block of a spring/damper model. A linear 1D translational spring and damper in parallel with pure signal
interface which can be applied for
a FMU (<a href=\"https://fmi-standard.org\">Functional Mock-up Unit</a>)
exchange. | within Modelica.Mechanics.Translational.Examples.Utilities;
model SpringDamper "Input/output block of a spring/damper model"
extends Modelica.Blocks.Icons.Block;
parameter SI.TranslationalSpringConstant c=1e4
"Spring constant";
parameter SI.TranslationalDampingConstant d=1
"Damping constant";
parameter SI.Length s_rel0=0
"Unstretched spring length";
Modelica.Mechanics.Translational.Components.GeneralPositionToForceAdaptor positionToForce1(use_pder2=false)
Modelica.Blocks.Interfaces.RealInput s1(unit="m")
"Position of left flange of force element"
Modelica.Blocks.Interfaces.RealInput v1(unit="m/s")
"Speed to left flange of force element"
Modelica.Blocks.Interfaces.RealOutput f1(unit="N")
"Force generated by the force element"
SpringDamperNoRelativeStates springDamper(
c=c,
d=d,
s_rel0=s_rel0)
Modelica.Blocks.Interfaces.RealInput s2(unit="m")
"Position of right flange of force element"
Modelica.Blocks.Interfaces.RealInput v2(unit="m/s")
"Speed to right flange of force element"
Modelica.Blocks.Interfaces.RealOutput f2(unit="N")
"Force generated by the force element"
Modelica.Mechanics.Translational.Components.GeneralPositionToForceAdaptor positionToForce2(use_pder2=false)
equation
connect(f1, positionToForce1.f)
connect(positionToForce2.f, f2)
connect(positionToForce1.flange, springDamper.flange_a)
connect(springDamper.flange_b, positionToForce2.flange)
connect(positionToForce1.p, s1)
connect(positionToForce1.pder, v1)
connect(positionToForce2.p, s2)
connect(positionToForce2.pder, v2)
end SpringDamper; |
Linear 1D translational spring and damper in parallel (s and v are not used as states). A <strong>spring</strong> and <strong>damper</strong> element <strong>connected in parallel</strong>.
The component can be
connected either between two masses to describe the joint elasticity
and damping, or between a mass and the housing (component Fixed),
to describe a coupling of the element with the housing via a spring/damper. | within Modelica.Mechanics.Translational.Examples.Utilities;
model SpringDamperNoRelativeStates
"Linear 1D translational spring and damper in parallel (s and v are not used as states)"
parameter SI.TranslationalSpringConstant c(final min=0, start=1.0e5) "Spring constant";
parameter SI.TranslationalDampingConstant d(final min=0, start=0) "Damping constant";
parameter SI.Length s_rel0=0
"Unstretched spring length";
SI.Velocity v_rel(start=0)
"Relative velocity (= der(s_rel))";
extends Modelica.Mechanics.Translational.Interfaces.PartialCompliant;
extends Modelica.Thermal.HeatTransfer.Interfaces.PartialElementaryConditionalHeatPortWithoutT;
protected
SI.Force f_c "Spring force";
SI.Force f_d "Damping force";
equation
v_rel = der(s_rel);
f_c = c*(s_rel - s_rel0);
f_d = d*v_rel;
f = f_c + f_d;
lossPower = f_d*v_rel;
end SpringDamperNoRelativeStates; |
Adapter model to utilize conditional support connector. This is an adapter model to utilize a conditional
<a href=\"modelica://Modelica.Mechanics.Translational.Interfaces.Support\">support connector</a>
in a component. It could be applied to both textually (equations based) and graphically
defined components: | within Modelica.Mechanics.Translational.Interfaces;
model InternalSupport
"Adapter model to utilize conditional support connector"
input SI.Force f
"External support force (must be computed via force balance in model where InternalSupport is used; = flange.f)";
SI.Position s "External support position (= flange.s)";
Flange_a flange
"Internal support flange (must be connected to the conditional support connector for useSupport=true and to conditional fixed model for useSupport=false)"
equation
flange.f = f;
flange.s = s;
end InternalSupport; |
Interfaces for 1-dim. translational mechanical components | within Modelica.Mechanics.Translational;
package Interfaces "Interfaces for 1-dim. translational mechanical components"
extends Modelica.Icons.InterfacesPackage;
end Interfaces; |
Device to measure a single absolute flange variable. This is the superclass of a 1D translational component with one flange and one
output signal in order to measure an absolute kinematic quantity in the flange
and to provide the measured signal as output signal for further processing
with the Modelica.Blocks blocks. | within Modelica.Mechanics.Translational.Interfaces;
partial model PartialAbsoluteSensor
"Device to measure a single absolute flange variable"
extends Modelica.Icons.RectangularSensor;
Interfaces.Flange_a flange
"Flange to be measured (flange axis directed into cut plane, e. g. from left to right)"
equation
0 = flange.f;
end PartialAbsoluteSensor; |
Compliant connection of two translational 1D flanges. This is a 1D translational component with a <em>compliant</em> connection of two
translational 1D flanges where inertial effects between the two
flanges are not included. The absolute value of the force at the left and the right
flange is the same. It is used to built up springs, dampers etc. | within Modelica.Mechanics.Translational.Interfaces;
partial model PartialCompliant
"Compliant connection of two translational 1D flanges"
extends Translational.Interfaces.PartialTwoFlanges;
SI.Position s_rel(start=0)
"Relative distance (= flange_b.s - flange_a.s)";
SI.Force f
"Force between flanges (positive in direction of flange axis R)";
equation
s_rel = flange_b.s - flange_a.s;
flange_b.f = f;
flange_a.f = -f;
end PartialCompliant; |
Base model for the compliant connection of two translational 1-dim. shaft flanges where the relative position and relative velocities are used as states. This is a 1-dim. translational component with a compliant connection of two
translational 1-dim. flanges where inertial effects between the two
flanges are neglected. The basic assumption is that the cut-forces
of the two flanges sum-up to zero, i.e., they have the same absolute value
but opposite sign: flange_a.f + flange_b.f = 0. This base class
is used to built up force elements such as springs, dampers, friction. | within Modelica.Mechanics.Translational.Interfaces;
partial model PartialCompliantWithRelativeStates
"Base model for the compliant connection of two translational 1-dim. shaft flanges where the relative position and relative velocities are used as states"
parameter StateSelect stateSelect=StateSelect.prefer
"Priority to use s_rel and v_rel as states"
parameter SI.Distance s_nominal=1e-4
"Nominal value of s_rel (used for scaling)"
SI.Position s_rel(
start=0,
stateSelect=stateSelect,
nominal=s_nominal) "Relative distance (= flange_b.s - flange_a.s)";
SI.Velocity v_rel(start=0, stateSelect=stateSelect)
"Relative velocity (= der(s_rel))";
SI.Force f "Forces between flanges (= flange_b.f)";
extends Translational.Interfaces.PartialTwoFlanges;
equation
s_rel = flange_b.s - flange_a.s;
v_rel = der(s_rel);
flange_b.f = f;
flange_a.f = -f;
end PartialCompliantWithRelativeStates; |
Partial model for a component with one translational 1-dim. shaft flange and a support used for textual modeling, i.e., for elementary models. This is a 1-dim. translational component with one flange and a support/housing.
It is used to build up elementary components of a drive train with
equations in the text layer. | within Modelica.Mechanics.Translational.Interfaces;
partial model PartialElementaryOneFlangeAndSupport2
"Partial model for a component with one translational 1-dim. shaft flange and a support used for textual modeling, i.e., for elementary models"
parameter Boolean useSupport=false
"= true, if support flange enabled, otherwise implicitly grounded"
SI.Length s
"Distance between flange and support (= flange.s - support.s)";
Flange_b flange "Flange of component"
Support support(s=s_support, f=-flange.f) if useSupport
"Support/housing of component"
protected
SI.Length s_support "Absolute position of support flange";
equation
s = flange.s - s_support;
if not useSupport then
s_support = 0;
end if;
end PartialElementaryOneFlangeAndSupport2; |
Partial model to transform rotational into translational motion. This is a 1-dim. rotational component with | within Modelica.Mechanics.Translational.Interfaces;
partial model PartialElementaryRotationalToTranslational
"Partial model to transform rotational into translational motion"
extends
Modelica.Mechanics.Rotational.Interfaces.PartialElementaryRotationalToTranslational;
end PartialElementaryRotationalToTranslational; |
Partial model for a component with one translational 1-dim. shaft flange and a support used for textual modeling, i.e., for elementary models. This is a 1-dim. translational component with two flanges and an additional support.
It is used e.g., to build up elementary ideal gear components. The component
contains the force balance, i.e., the sum of the forces of the connectors
is zero (therefore, components that are based on PartialGear cannot have
a mass). The support connector needs to be connected
to avoid the unphysical behavior that the
support force is required to be zero (= the default value, if the
connector is not connected). | within Modelica.Mechanics.Translational.Interfaces;
partial model PartialElementaryTwoFlangesAndSupport2
"Partial model for a component with one translational 1-dim. shaft flange and a support used for textual modeling, i.e., for elementary models"
parameter Boolean useSupport=false
"= true, if support flange enabled, otherwise implicitly grounded"
extends Translational.Interfaces.PartialTwoFlanges;
Support support(s=s_support, f=-flange_a.f - flange_b.f) if useSupport
"Support/housing of component"
SI.Length s_a "Distance between left flange and support";
SI.Length s_b "Distance between right flange and support";
protected
SI.Length s_support "Absolute position of support flange";
equation
s_a = flange_a.s - s_support;
s_b = flange_b.s - s_support;
if not useSupport then
s_support = 0;
end if;
end PartialElementaryTwoFlangesAndSupport2; |
Partial model of a force acting at the flange (accelerates the flange). Partial model of force that accelerates the flange. | within Modelica.Mechanics.Translational.Interfaces;
partial model PartialForce
"Partial model of a force acting at the flange (accelerates the flange)"
extends PartialElementaryOneFlangeAndSupport2;
SI.Force f
"Accelerating force acting at flange (= flange.f)";
equation
f = flange.f;
end PartialForce; |
Base model of Coulomb friction elements. Basic model for Coulomb friction that models the stuck phase in a reliable way. | within Modelica.Mechanics.Translational.Interfaces;
partial model PartialFriction "Base model of Coulomb friction elements"
//extends Translational.Interfaces.PartialRigid;
parameter SI.Velocity v_small=1e-3
"Relative velocity near to zero (see model info text)"
// Equations to define the following variables have to be defined in subclasses
SI.Velocity v_relfric "Relative velocity between frictional surfaces";
SI.Acceleration a_relfric
"Relative acceleration between frictional surfaces";
//SI.Force f "Friction force (positive, if directed in opposite direction of v_relfric)";
SI.Force f0 "Friction force for v_relfric=0 and forward sliding";
SI.Force f0_max "Maximum friction force for v_relfric=0 and locked";
Boolean free "= true, if frictional element is not active";
// Equations to define the following variables are given in this class
Real sa(unit="1")
"Path parameter of friction characteristic f = f(a_relfric)";
Boolean startForward(start=false, fixed=true)
"= true, if v_relfric=0 and start of forward sliding";
Boolean startBackward(start=false, fixed=true)
"= true, if v_relfric=0 and start of backward sliding";
Boolean locked(start=false) "= true, if v_relfric=0 and not sliding";
constant Integer Unknown=3 "Value of mode is not known";
constant Integer Free=2 "Element is not active";
constant Integer Forward=1 "v_relfric > 0 (forward sliding)";
constant Integer Stuck=0
"v_relfric = 0 (forward sliding, locked or backward sliding)";
constant Integer Backward=-1 "v_relfric < 0 (backward sliding)";
Integer mode(
final min=Backward,
final max=Unknown,
start=Unknown,
fixed=true)
"Mode of friction (-1: backward sliding, 0: stuck, 1: forward sliding, 2: inactive, 3: unknown)";
protected
constant SI.Acceleration unitAcceleration=1
constant SI.Force unitForce=1
equation
/* Friction characteristic
(locked is introduced to help the Modelica translator determining
the different structural configurations,
if for each configuration special code shall be generated)
*/
startForward = pre(mode) == Stuck and (sa > f0_max/unitForce or pre(
startForward) and sa > f0/unitForce) or pre(mode) == Backward and
v_relfric > v_small or initial() and (v_relfric > 0);
startBackward = pre(mode) == Stuck and (sa < -f0_max/unitForce or pre(
startBackward) and sa < -f0/unitForce) or pre(mode) == Forward and
v_relfric < -v_small or initial() and (v_relfric < 0);
locked = not free and not (pre(mode) == Forward or startForward or pre(
mode) == Backward or startBackward);
a_relfric/unitAcceleration = if locked then 0 else if free then sa
else if startForward then sa - f0_max/unitForce
else if startBackward then sa + f0_max/unitForce
else if pre(mode) == Forward then sa - f0_max/unitForce
else if pre(mode) == Backward then sa + f0_max/unitForce
else sa - sign(v_relfric)*f0_max/unitForce;
/* Friction force "f" has to be defined in a subclass. Example for possible
realization of a brake utilizing interpolation by ExternalCombiTable1D see:
Modelica.Mechanics.Translational.Components.Brake
*/
// finite state machine to determine configuration
mode = if free then Free else (if (pre(mode) == Forward or pre(mode) ==
Free or startForward) and v_relfric > 0 then Forward else if (pre(mode)
== Backward or pre(mode) == Free or startBackward) and v_relfric < 0
then Backward else Stuck);
end PartialFriction; |
Partial model for a component with one translational 1-dim. shaft flange and a support used for graphical modeling, i.e., the model is build up by drag-and-drop from elementary components. This is a 1-dim. translational component with one flange and a support/housing.
It is used e.g., to build up parts of a drive train graphically consisting
of several components. | within Modelica.Mechanics.Translational.Interfaces;
partial model PartialOneFlangeAndSupport
"Partial model for a component with one translational 1-dim. shaft flange and a support used for graphical modeling, i.e., the model is build up by drag-and-drop from elementary components"
parameter Boolean useSupport=false
"= true, if support flange enabled, otherwise implicitly grounded"
Flange_b flange "Flange of component"
Support support if useSupport "Support/housing of component"
protected
Support internalSupport
"Internal support/housing of component (either connected to support, if useSupport=true, or connected to fixed, if useSupport=false)"
Components.Fixed fixed if not useSupport
"Fixed support/housing, if not useSupport"
equation
connect(fixed.flange, internalSupport)
connect(internalSupport, support)
end PartialOneFlangeAndSupport; |
Device to measure a single relative variable between two flanges. This is a superclass for 1D translational components with two rigidly connected
flanges and one output signal in order to measure relative kinematic quantities
between the two flanges or the cut-force in the flange and
to provide the measured signal as output signal for further processing
with the Modelica.Blocks blocks. | within Modelica.Mechanics.Translational.Interfaces;
partial model PartialRelativeSensor
"Device to measure a single relative variable between two flanges"
extends Modelica.Icons.RectangularSensor;
extends Translational.Interfaces.PartialTwoFlanges;
equation
0 = flange_a.f + flange_b.f;
end PartialRelativeSensor; |
Rigid connection of two translational 1D flanges. This is a 1-dim. translational component with two <em>rigidly</em> connected flanges.
The fixed distance between the left and the right flange is defined by parameter \"L\".
The forces at the right and left flange can be different.
It is used e.g., to built up sliding masses. | within Modelica.Mechanics.Translational.Interfaces;
partial model PartialRigid
"Rigid connection of two translational 1D flanges"
SI.Position s
"Absolute position of center of component (s = flange_a.s + L/2 = flange_b.s - L/2)";
parameter SI.Length L(start=0)
"Length of component, from left flange to right flange (= flange_b.s - flange_a.s)";
extends Translational.Interfaces.PartialTwoFlanges;
equation
flange_a.s = s - L/2;
flange_b.s = s + L/2;
end PartialRigid; |
Component with two translational 1D flanges. This is a 1D translational component with two flanges.
It is used e.g., to built up parts of a drive train consisting
of several base components. | within Modelica.Mechanics.Translational.Interfaces;
partial model PartialTwoFlanges
"Component with two translational 1D flanges"
Flange_a flange_a
"(left) driving flange (flange axis directed into cut plane, e. g. from left to right)"
Flange_b flange_b
"(right) driven flange (flange axis directed out of cut plane)"
end PartialTwoFlanges; |
Partial model for a component with two translational 1-dim. shaft flanges and a support used for graphical modeling, i.e., the model is build up by drag-and-drop from elementary components. This is a 1-dim. translational component with two flanges and a support/housing.
It is used e.g., to build up parts of a drive train graphically consisting
of several components. | within Modelica.Mechanics.Translational.Interfaces;
partial model PartialTwoFlangesAndSupport
"Partial model for a component with two translational 1-dim. shaft flanges and a support used for graphical modeling, i.e., the model is build up by drag-and-drop from elementary components"
parameter Boolean useSupport=false
"= true, if support flange enabled, otherwise implicitly grounded"
extends Translational.Interfaces.PartialTwoFlanges;
Support support if useSupport "Support/housing of component"
protected
Support internalSupport
"Internal support/housing of component (either connected to support, if useSupport=true, or connected to fixed, if useSupport=false)"
Components.Fixed fixed if not useSupport
"Fixed support/housing, if not useSupport"
equation
connect(fixed.flange, internalSupport)
connect(internalSupport, support)
end PartialTwoFlangesAndSupport; |
Support/housing flange of a one-dimensional translational component. This is a connector for 1-dim. translational mechanical systems and models
the support or housing of a shaft.
The following variables are defined in this connector: | within Modelica.Mechanics.Translational.Interfaces;
connector Support "Support/housing flange of a one-dimensional translational component"
extends Flange;
end Support; |
Ideal sensor to measure the absolute acceleration of flange. Measures the <em>absolute acceleration</em>
of a flange in an ideal way and provides the result as
output signal <code>a</code>
(to be further processed with blocks of the
<a href=\"modelica://Modelica.Blocks\">Modelica.Blocks</a> library). | within Modelica.Mechanics.Translational.Sensors;
model AccSensor "Ideal sensor to measure the absolute acceleration of flange"
extends Translational.Interfaces.PartialAbsoluteSensor;
SI.Velocity v "Absolute velocity of flange";
Modelica.Blocks.Interfaces.RealOutput a(unit="m/s2")
"Absolute acceleration of flange as output signal"
equation
v = der(flange.s);
a = der(v);
end AccSensor; |
Ideal sensor to measure the force between two flanges. Measures the <em>cut-force</em> between two flanges
in an ideal way and provides the result as output signal <code>f</code>
(to be further processed with blocks of the
<a href=\"modelica://Modelica.Blocks\">Modelica.Blocks</a> library). | within Modelica.Mechanics.Translational.Sensors;
model ForceSensor "Ideal sensor to measure the force between two flanges"
extends Translational.Interfaces.PartialRelativeSensor;
Modelica.Blocks.Interfaces.RealOutput f(unit="N")
"Force in flange_a and flange_b (f = flange_a.f = -flange_b.f) as output signal"
equation
flange_a.s = flange_b.s;
flange_a.f = f;
end ForceSensor; |
Ideal sensor to measure the absolute velocity, force and power between two flanges. Measures the <em>absolute velocity</em> of the <code>flange_a</code> and
the <em>cut-force</em> and <em>power</em> between two flanges
in an ideal way and provides the results as output signals <code>v</code>,
<code>f</code> and <code>power</code>, respectively. | within Modelica.Mechanics.Translational.Sensors;
model MultiSensor
"Ideal sensor to measure the absolute velocity, force and power between two flanges"
extends Translational.Interfaces.PartialRelativeSensor;
Modelica.Blocks.Interfaces.RealOutput power(unit="W")
"Power in flange flange_a as output signal"
Modelica.Blocks.Interfaces.RealOutput f(unit="N")
"Force in flange_a and flange_b (f = flange_a.f = -flange_b.f) as output signal"
Modelica.Blocks.Interfaces.RealOutput v(unit="m/s")
"Absolute velocity of flange as output signal"
equation
flange_a.s = flange_b.s;
f = flange_a.f;
v = der(flange_a.s);
power = f*v;
end MultiSensor; |
Sensors for 1-dim. translational mechanical quantities | within Modelica.Mechanics.Translational;
package Sensors "Sensors for 1-dim. translational mechanical quantities"
extends Modelica.Icons.SensorsPackage;
end Sensors; |
Ideal sensor to measure the absolute position of flange. Measures the <em>absolute position</em>
of a flange in an ideal way and provides the result as
output signal <code>s</code>
(to be further processed with blocks of the
<a href=\"modelica://Modelica.Blocks\">Modelica.Blocks</a> library). | within Modelica.Mechanics.Translational.Sensors;
model PositionSensor "Ideal sensor to measure the absolute position of flange"
extends Translational.Interfaces.PartialAbsoluteSensor;
Modelica.Blocks.Interfaces.RealOutput s(unit="m")
"Absolute position of flange as output signal"
equation
s = flange.s;
end PositionSensor; |
Ideal sensor to measure the power between two flanges. Measures the <em>power</em> between two flanges
in an ideal way and provides the result as output signal <code>power</code>
(to be further processed with blocks of the
<a href=\"modelica://Modelica.Blocks\">Modelica.Blocks</a> library), i.e. | within Modelica.Mechanics.Translational.Sensors;
model PowerSensor
"Ideal sensor to measure the power between two flanges"
extends Translational.Interfaces.PartialRelativeSensor;
Modelica.Blocks.Interfaces.RealOutput power(unit="W")
"Power in flange flange_a as output signal"
equation
flange_a.s = flange_b.s;
power = flange_a.f*der(flange_a.s);
end PowerSensor; |
Ideal sensor to measure the relative acceleration between two flanges. Measures the <em>relative acceleration</em> between two flanges
in an ideal way and provides the result as output signal <code>a_rel</code>
(to be further processed with blocks of the
<a href=\"modelica://Modelica.Blocks\">Modelica.Blocks</a> library). | within Modelica.Mechanics.Translational.Sensors;
model RelAccSensor "Ideal sensor to measure the relative acceleration between two flanges"
extends Translational.Interfaces.PartialRelativeSensor;
SI.Position s_rel "Relative distance between two flanges (flange_b.s - flange_a.s)";
SI.Velocity v_rel "Relative velocity between two flanges (der(flange_b.s) - der(flange_a.s))";
Modelica.Blocks.Interfaces.RealOutput a_rel(unit="m/s2")
"Relative acceleration between two flanges (= der(v_rel)) as output signal"
equation
s_rel = flange_b.s - flange_a.s;
v_rel = der(s_rel);
a_rel = der(v_rel);
0 = flange_a.f;
end RelAccSensor; |
Ideal sensor to measure the relative position between two flanges. Measures the <em>relative position</em> between two flanges
in an ideal way and provides the result as output signal <code>s_rel</code>
(to be further processed with blocks of the
<a href=\"modelica://Modelica.Blocks\">Modelica.Blocks</a> library). | within Modelica.Mechanics.Translational.Sensors;
model RelPositionSensor "Ideal sensor to measure the relative position between two flanges"
extends Translational.Interfaces.PartialRelativeSensor;
Modelica.Blocks.Interfaces.RealOutput s_rel(unit="m")
"Relative distance between two flanges (= flange_b.s - flange_a.s) as output signal"
equation
s_rel = flange_b.s - flange_a.s;
0 = flange_a.f;
end RelPositionSensor; |
Ideal sensor to measure the relative velocity between two flanges. Measures the <em>relative velocity</em> between two flanges
in an ideal way and provides the result as output signal <code>v_rel</code>
(to be further processed with blocks of the
<a href=\"modelica://Modelica.Blocks\">Modelica.Blocks</a> library). | within Modelica.Mechanics.Translational.Sensors;
model RelSpeedSensor "Ideal sensor to measure the relative velocity between two flanges"
extends Translational.Interfaces.PartialRelativeSensor;
SI.Position s_rel "Relative distance between two flanges (flange_b.s - flange_a.s)";
Modelica.Blocks.Interfaces.RealOutput v_rel(unit="m/s")
"Relative velocity between two flanges (= der(flange_b.s) - der(flange_a.s)) as output signal"
equation
s_rel = flange_b.s - flange_a.s;
v_rel = der(s_rel);
0 = flange_a.f;
end RelSpeedSensor; |
Ideal sensor to measure the absolute velocity of flange. Measures the <em>absolute velocity</em>
of a flange in an ideal way and provides the result as
output signal <code>v</code>
(to be further processed with blocks of the
<a href=\"modelica://Modelica.Blocks\">Modelica.Blocks</a> library). | within Modelica.Mechanics.Translational.Sensors;
model SpeedSensor "Ideal sensor to measure the absolute velocity of flange"
extends Translational.Interfaces.PartialAbsoluteSensor;
Modelica.Blocks.Interfaces.RealOutput v(unit="m/s")
"Absolute velocity of flange as output signal"
equation
v = der(flange.s);
end SpeedSensor; |
Forced movement of a flange according to an acceleration signal. The input signal <strong>a_ref</strong> in [m/s2] moves the 1D translational flange
connector flange with a predefined <em>acceleration</em>, i.e., the flange
is <em>forced</em> to move relative to the support connector with this acceleration.
The velocity and the position of the flange are also predefined and are determined by
integration of the acceleration. | within Modelica.Mechanics.Translational.Sources;
model Accelerate
"Forced movement of a flange according to an acceleration signal"
extends
Modelica.Mechanics.Translational.Interfaces.PartialElementaryOneFlangeAndSupport2(
s(start=0,
fixed=true,
stateSelect=StateSelect.prefer));
SI.Velocity v(
start=0,
fixed=true,
stateSelect=StateSelect.prefer) "Absolute velocity of flange";
SI.Acceleration a "Absolute acceleration of flange";
Modelica.Blocks.Interfaces.RealInput a_ref(unit="m/s2")
"Absolute acceleration of flange as input signal"
equation
v = der(s);
a = der(v);
a = a_ref;
end Accelerate; |
Constant force, not dependent on speed. Model of constant force, not dependent on velocity of flange. | within Modelica.Mechanics.Translational.Sources;
model ConstantForce "Constant force, not dependent on speed"
extends Modelica.Mechanics.Translational.Interfaces.PartialForce;
parameter SI.Force f_constant
"Nominal force (if negative, force is acting as load in positive direction of motion)";
equation
f = -f_constant;
end ConstantForce; |
Constant speed, not dependent on force. Model of <strong>fixed</strong> velocity of flange, not dependent on force. | within Modelica.Mechanics.Translational.Sources;
model ConstantSpeed "Constant speed, not dependent on force"
extends Modelica.Mechanics.Translational.Interfaces.PartialForce;
parameter SI.Velocity v_fixed
"Fixed speed (if negative, force is acting as load)";
SI.Velocity v
"Velocity of flange with respect to support (= der(s))";
equation
v = der(s);
v = v_fixed;
end ConstantSpeed; |
Simple model of a translational eddy current brake. This is a simple model of a translational <strong>eddy current brake</strong>. The force versus speed characteristic is defined by Kloss' equation. | within Modelica.Mechanics.Translational.Sources;
model EddyCurrentForce "Simple model of a translational eddy current brake"
import Modelica.Electrical.Machines.Thermal.linearTemperatureDependency;
parameter Boolean useExcitationInput=false "Enable signal input for excitation";
parameter Real constantExcitation=1 "Excitation=1 to reach maximum force"
parameter SI.Force f_nominal "Constant maximum force (always braking)";
parameter SI.Velocity v_nominal(min=Modelica.Constants.eps)
"Nominal speed (leads to maximum force) at reference temperature";
parameter SI.Temperature TRef(start=293.15)
"Reference temperature";
parameter Modelica.Electrical.Machines.Thermal.LinearTemperatureCoefficient20
alpha20(start=0) "Temperature coefficient of material";
extends Modelica.Mechanics.Translational.Interfaces.PartialForce;
extends Modelica.Thermal.HeatTransfer.Interfaces.PartialElementaryConditionalHeatPort;
SI.Velocity v "Velocity of flange with respect to support (= der(s))";
Real v_normalized "Relative speed v/v_nominal";
Blocks.Interfaces.RealInput excitation = excitationInternal if useExcitationInput
"Excitation"
protected
Real excitationInternal "Excitation";
equation
if not useExcitationInput then
excitationInternal = constantExcitation;
end if;
v = der(s);
v_normalized = v/(v_nominal*linearTemperatureDependency(1, TRef, alpha20, TheatPort));
f = 2*f_nominal*excitationInternal^2*v_normalized/(1 + v_normalized*v_normalized);
lossPower = f*v;
end EddyCurrentForce; |
External force acting on a drive train element as input signal. The input signal \"f\" in [N] characterizes an <em>external
force</em> which acts (with positive sign) at a flange,
i.e., the component connected to the flange is driven by force f. | within Modelica.Mechanics.Translational.Sources;
model Force
"External force acting on a drive train element as input signal"
extends Modelica.Mechanics.Translational.Interfaces.PartialElementaryOneFlangeAndSupport2;
Modelica.Blocks.Interfaces.RealInput f(unit="N")
"Driving force as input signal"
equation
flange.f = -f;
end Force; |
Input signal acting as force on two flanges. The input signal \"f\" in [N] characterizes an <em>external
force</em> which acts (with positive sign) at both flanges,
i.e., the components connected to these flanges are driven by force f. | within Modelica.Mechanics.Translational.Sources;
model Force2 "Input signal acting as force on two flanges"
extends Translational.Interfaces.PartialTwoFlanges;
Modelica.Blocks.Interfaces.RealInput f(unit="N")
"Driving force as input signal"
equation
flange_a.f = f;
flange_b.f = -f;
end Force2; |
Constant force, not dependent on speed. Model of a force step at time startTime.
Positive force accelerates in positive direction of <code>flange</code> translation. | within Modelica.Mechanics.Translational.Sources;
model ForceStep "Constant force, not dependent on speed"
extends Modelica.Mechanics.Translational.Interfaces.PartialForce;
parameter SI.Force stepForce(start=1)
"Height of force step (if negative, force is acting as load)";
parameter SI.Force offsetForce(start=0) "Offset of force";
parameter SI.Time startTime=0
"Force = offset for time < startTime";
equation
f = -offsetForce - (if time < startTime then 0 else stepForce);
end ForceStep; |
Force reciprocal dependent on speed. Model of inverse speed dependent force. | within Modelica.Mechanics.Translational.Sources;
model InverseSpeedDependentForce
"Force reciprocal dependent on speed"
extends Translational.Interfaces.PartialForce;
parameter SI.Force f_nominal
"Nominal force (if negative, torque is acting as load in positive direction of motion)";
parameter Boolean ForceDirection=true
"Same direction of force in both directions of motion";
parameter SI.Velocity v_nominal(min=Modelica.Constants.eps)
"Nominal speed";
parameter SI.Velocity v0(final min=Modelica.Constants.eps, start=0.1)
"Regularization below v0"
SI.Velocity v
"Velocity of flange with respect to support (= der(s))";
equation
v = der(s);
if ForceDirection then
f = if abs(v)<v0 then -f_nominal*v_nominal/v0 else -f_nominal*v_nominal/abs(v);
else
f = if abs(v)<v0 then -f_nominal*v/v0 else -f_nominal*v_nominal/v;
end if;
end InverseSpeedDependentForce; |
Linear dependency of force versus speed. Model of force, linearly dependent on velocity of flange.<br>
Parameter ForceDirection chooses whether direction of force is the same in both directions of movement or not. | within Modelica.Mechanics.Translational.Sources;
model LinearSpeedDependentForce "Linear dependency of force versus speed"
extends Modelica.Mechanics.Translational.Interfaces.PartialForce;
parameter SI.Force f_nominal
"Nominal force (if negative, force is acting as load in positive direction of motion)";
parameter Boolean ForceDirection=true
"Same direction of force in both directions of motion";
parameter SI.Velocity v_nominal(min=Modelica.Constants.eps)
"Nominal speed";
SI.Velocity v
"Velocity of flange with respect to support (= der(s))";
equation
v = der(s);
if ForceDirection then
f = -f_nominal*abs(v/v_nominal);
else
f = -f_nominal*(v/v_nominal);
end if;
end LinearSpeedDependentForce; |
Forced movement of a flange according to a position, velocity and acceleration signal. Flange <strong>flange</strong> is <strong>forced</strong> to move relative to the support connector with a predefined motion
according to the input signals: | within Modelica.Mechanics.Translational.Sources;
model Move
"Forced movement of a flange according to a position, velocity and acceleration signal"
extends
Modelica.Mechanics.Translational.Interfaces.PartialElementaryOneFlangeAndSupport2;
Modelica.Blocks.Interfaces.RealInput u[3]
"Position, velocity and acceleration of flange as input signals"
protected
function position
extends Modelica.Icons.Function;
input Real q_qd_qdd[3]
"Required values for position, speed, acceleration";
input Real dummy
"Just to have one input signal that should be differentiated to avoid possible problems in the Modelica tool (is not used)";
output Real q;
algorithm
q := q_qd_qdd[1];
end position;
function position_der
extends Modelica.Icons.Function;
input Real q_qd_qdd[3]
"Required values for position, speed, acceleration";
input Real dummy
"Just to have one input signal that should be differentiated to avoid possible problems in the Modelica tool (is not used)";
input Real dummy_der;
output Real qd;
algorithm
qd := q_qd_qdd[2];
end position_der;
function position_der2
extends Modelica.Icons.Function;
input Real q_qd_qdd[3]
"Required values for position, speed, acceleration";
input Real dummy
"Just to have one input signal that should be differentiated to avoid possible problems in the Modelica tool (is not used)";
input Real dummy_der;
input Real dummy_der2;
output Real qdd;
algorithm
qdd := q_qd_qdd[3];
end position_der2;
equation
s = position(u, time);
end Move; |
Sources to drive 1D translational mechanical components | within Modelica.Mechanics.Translational;
package Sources "Sources to drive 1D translational mechanical components"
extends Modelica.Icons.SourcesPackage;
end Sources; |
Forced movement of a flange according to a reference position. The input signal <strong>s_ref</strong> defines the <strong>reference
position</strong> in [m]. Flange <strong>flange</strong> is <strong>forced</strong>
to move relative to the support connector according to this reference motion. According to parameter
<strong>exact</strong> (default = <strong>false</strong>), this is done in the following way: | within Modelica.Mechanics.Translational.Sources;
model Position
"Forced movement of a flange according to a reference position"
extends
Modelica.Mechanics.Translational.Interfaces.PartialElementaryOneFlangeAndSupport2(
s(stateSelect=if exact then StateSelect.default else StateSelect.prefer));
parameter Boolean exact=false
"Is true/false for exact treatment/filtering of the input signal, respectively"
parameter SI.Frequency f_crit=50
"If exact=false, critical frequency of filter to filter input signal"
SI.Velocity v(start=0,
stateSelect=if exact then StateSelect.default else StateSelect.prefer)
"If exact=false, absolute velocity of flange else dummy"
SI.Acceleration a(start=0)
"If exact=false, absolute acceleration of flange else dummy"
Modelica.Blocks.Interfaces.RealInput s_ref(unit="m")
"Reference position of flange as input signal"
protected
parameter SI.AngularFrequency w_crit=2*Modelica.Constants.pi*f_crit "Critical frequency";
constant Real af=1.3617 "s coefficient of Bessel filter";
constant Real bf=0.6180 "s*s coefficient of Bessel filter";
initial equation
if not exact then
s = s_ref;
end if;
equation
if exact then
s = s_ref;
v = 0;
a = 0;
else
// Filter: a = s_ref*S^2/(1 + (af/w_crit)*S + (bf/w_crit^2)*S^2)
v = der(s);
a = der(v);
a = ((s_ref - s)*w_crit - af*v)*(w_crit/bf);
end if;
end Position; |
Quadratic dependency of force versus speed. Model of force, quadratic dependent on velocity of flange.<br>
Parameter ForceDirection chooses whether direction of force is the same in both directions of movement or not. | within Modelica.Mechanics.Translational.Sources;
model QuadraticSpeedDependentForce
"Quadratic dependency of force versus speed"
extends Modelica.Mechanics.Translational.Interfaces.PartialForce;
parameter SI.Force f_nominal
"Nominal force (if negative, force is acting as load in positive direction of motion)";
parameter Boolean ForceDirection=true
"Same direction of force in both directions of motion";
parameter SI.Velocity v_nominal(min=Modelica.Constants.eps)
"Nominal speed";
SI.Velocity v
"Velocity of flange with respect to support (= der(s))";
equation
v = der(s);
if ForceDirection then
f = -f_nominal*(v/v_nominal)^2;
else
f = -f_nominal*smooth(1, if v >= 0 then (v/v_nominal)^2 else -(v/v_nominal)^2);
end if;
end QuadraticSpeedDependentForce; |
Constant force changing sign with speed. Model of constant force which changes sign with direction of movement. | within Modelica.Mechanics.Translational.Sources;
model SignForce "Constant force changing sign with speed"
extends Modelica.Mechanics.Translational.Interfaces.PartialForce;
import Modelica.Constants.pi;
parameter SI.Force f_nominal
"Nominal force (if negative, force is acting as load)";
parameter Modelica.Blocks.Types.Regularization reg=Modelica.Blocks.Types.Regularization.Exp
"Type of regularization"
parameter SI.Velocity v0(final min=Modelica.Constants.eps, start=0.1)
"Regularization below v0";
SI.Velocity v
"Velocity of flange with respect to support (= der(s))";
equation
v = der(s);
if reg==Modelica.Blocks.Types.Regularization.Exp then
f = -f_nominal*(2/(1 + Modelica.Math.exp(-v/(0.01*v0)))-1);
elseif reg==Modelica.Blocks.Types.Regularization.Sine then
f = -f_nominal*smooth(1, (if abs(v)>=v0 then sign(v) else Modelica.Math.sin(pi/2*v/v0)));
elseif reg==Modelica.Blocks.Types.Regularization.Linear then
f = -f_nominal*(if abs(v)>=v0 then sign(v) else (v/v0));
else//if reg==Modelica.Blocks.Types.Regularization.CoSine
f = -f_nominal*(if abs(v)>=v0 then sign(v) else sign(v)*(1 - Modelica.Math.cos(pi/2*v/v0)));
end if;
end SignForce; |
Forced movement of a flange according to a reference speed. The input signal <strong>v_ref</strong> defines the <strong>reference
speed</strong> in [m/s]. Flange <strong>flange</strong> is <strong>forced</strong>
to move relative to the support connector according to this reference motion. According to parameter
<strong>exact</strong> (default = <strong>false</strong>), this is done in the following way: | within Modelica.Mechanics.Translational.Sources;
model Speed "Forced movement of a flange according to a reference speed"
extends
Modelica.Mechanics.Translational.Interfaces.PartialElementaryOneFlangeAndSupport2(
s(
start=0,
fixed=true,
stateSelect=StateSelect.prefer));
parameter Boolean exact=false
"Is true/false for exact treatment/filtering of the input signal, respectively"
parameter SI.Frequency f_crit=50
"If exact=false, critical frequency of filter to filter input signal"
SI.Velocity v(stateSelect=if exact then StateSelect.default else
StateSelect.prefer) "Absolute velocity of flange";
SI.Acceleration a
"If exact=false, absolute acceleration of flange else dummy";
Modelica.Blocks.Interfaces.RealInput v_ref(unit="m/s")
"Reference speed of flange as input signal"
protected
parameter SI.AngularFrequency w_crit=2*Modelica.Constants.pi
*f_crit "Critical frequency";
initial equation
if not exact then
v = v_ref;
end if;
equation
v = der(s);
if exact then
v = v_ref;
a = 0;
else
// Filter: a = v_ref/(1 + (1/w_crit)*s)
a = der(v);
a = (v_ref - v)*w_crit;
end if;
end Speed; |
Compressible liquid models | within Modelica.Media;
package CompressibleLiquids "Compressible liquid models"
extends Modelica.Icons.VariantsPackage;
package Common "Base classes for compressible liquids"
extends Modelica.Icons.Package;
partial package LinearWater_pT
"Base class for liquid, linear compressibility water models"
extends Media.Interfaces.PartialLinearFluid(
constantJacobian=true,
reference_d=Modelica.Media.Water.StandardWater.density(state),
reference_h=Modelica.Media.Water.StandardWater.specificEnthalpy(state),
reference_s=Modelica.Media.Water.StandardWater.specificEntropy(state),
cp_const=Modelica.Media.Water.StandardWater.specificHeatCapacityCp(state),
beta_const=
Modelica.Media.Water.StandardWater.isobaricExpansionCoefficient(state),
kappa_const=Modelica.Media.Water.StandardWater.isothermalCompressibility(
state),
MM_const=Modelica.Media.Water.StandardWater.molarMass(state));
constant Modelica.Media.Water.StandardWater.ThermodynamicState state=
Modelica.Media.Water.StandardWater.setState_pT(reference_p, reference_T);
end LinearWater_pT;
end Common;
package LinearColdWater "Cold water model with linear compressibility"
extends Media.Interfaces.PartialLinearFluid(
mediumName="Linear cold water",
constantJacobian=true,
reference_p=101325,
reference_T=278.15,
reference_d=997.05,
reference_h=104929,
reference_s=100.0,
cp_const=4181.9,
beta_const=2.5713e-4,
kappa_const=4.5154e-10,
MM_const=0.018015268);
redeclare function extends dynamicViscosity "Dynamic viscosity of water"
algorithm
eta := 1.5e-3;
end dynamicViscosity;
redeclare function extends thermalConductivity
"Thermal conductivity of water"
algorithm
lambda := 0.572;
end thermalConductivity;
end LinearColdWater;
package LinearWater_pT_Ambient
"Liquid, linear compressibility water model at 1.01325 bar and 25 degree Celsius"
extends Modelica.Media.CompressibleLiquids.Common.LinearWater_pT(
mediumName="Liquid linear water",
reference_p = 101325,
reference_T = 298.15);
redeclare function extends dynamicViscosity "Dynamic viscosity of water"
algorithm
eta := 8.9e-4;
end dynamicViscosity;
redeclare function extends thermalConductivity
"Thermal conductivity of water"
algorithm
lambda := 0.608;
end thermalConductivity;
end LinearWater_pT_Ambient;
end CompressibleLiquids; |
Medium model for T-dependent properties, defined by tables or polynomials | within Modelica.Media;
package Incompressible
"Medium model for T-dependent properties, defined by tables or polynomials"
extends Modelica.Icons.VariantsPackage;
import Modelica.Constants;
import Modelica.Math;
package Examples "Examples for incompressible media"
extends Modelica.Icons.VariantsPackage;
package Glycol47 "1,2-Propylene glycol, 47% mixture with water"
extends TableBased(
mediumName="Glycol-Water 47%",
T_min = Cv.from_degC(-30), T_max = Cv.from_degC(100),
TinK = false, T0=273.15,
tableDensity=
[-30, 1066; -20, 1062; -10, 1058; 0, 1054;
20, 1044; 40, 1030; 60, 1015; 80, 999; 100, 984],
tableHeatCapacity=
[-30, 3450; -20, 3490; -10, 3520; 0, 3560;
20, 3620; 40, 3690; 60, 3760; 80, 3820; 100, 3890],
tableConductivity=
[-30,0.397; -20,0.396; -10,0.395; 0,0.395;
20,0.394; 40,0.393; 60,0.392; 80,0.391; 100,0.390],
tableViscosity=
[-30, 0.160; -20, 0.0743; -10, 0.0317; 0, 0.0190;
20, 0.00626; 40, 0.00299; 60, 0.00162; 80, 0.00110; 100, 0.00081],
tableVaporPressure=
[0, 500; 20, 1.9e3; 40, 5.3e3; 60, 16e3; 80, 37e3; 100, 80e3]);
end Glycol47;
package Essotherm650 "Essotherm thermal oil"
extends TableBased(
mediumName="Essotherm 650",
T_min = Cv.from_degC(0), T_max = Cv.from_degC(320),
TinK = false, T0=273.15,
tableDensity=
[0, 909; 20, 897; 40, 884; 60, 871; 80, 859; 100, 846;
150, 813; 200, 781; 250, 748; 300, 715; 320, 702],
tableHeatCapacity=
[0, 1770; 20, 1850; 40, 1920; 60, 1990; 80, 2060; 100, 2130;
150, 2310; 200, 2490; 250, 2670; 300, 2850; 320, 2920],
tableConductivity=
[0,0.1302; 20,0.1288; 40,0.1274; 60,0.1260; 80,0.1246; 100,0.1232;
150,0.1197; 200,0.1163; 250,0.1128; 300,0.1093; 320,0.1079],
tableViscosity = [0, 14370; 20, 1917; 40, 424; 60, 134; 80, 54.5;
100, 26.64; 150, 7.47; 200, 3.22; 250, 1.76; 300, 1.10; 320,0.94],
tableVaporPressure=
[160, 3; 180, 10; 200, 40; 220, 100; 240, 300; 260, 600;
280, 1600; 300, 3e3; 320, 5.5e3]);
end Essotherm650;
model TestGlycol "Test Glycol47 Medium model"
extends Modelica.Icons.Example;
package Medium = Glycol47 "Medium model (Glycol47)";
Medium.BaseProperties medium;
Medium.DynamicViscosity eta=Medium.dynamicViscosity(medium.state);
Medium.ThermalConductivity lambda=Medium.thermalConductivity(medium.state);
Medium.SpecificEntropy s=Medium.specificEntropy(medium.state);
Medium.SpecificHeatCapacity cv=Medium.specificHeatCapacityCv(medium.state);
Medium.SpecificInternalEnergy u=Medium.specificInternalEnergy(medium.state);
Medium.SpecificInternalEnergy h=Medium.specificEnthalpy(medium.state);
Medium.SpecificInternalEnergy d=Medium.density(medium.state);
protected
constant SI.Time timeUnit = 1;
constant SI.Temperature Ta = 1;
equation
medium.p = 1.013e5;
medium.T = Medium.T_min + time/timeUnit*Ta;
end TestGlycol;
end Examples;
package Common "Common data structures"
extends Modelica.Icons.Package;
// Extended record for input to functions based on polynomials
record BaseProps_Tpoly "Fluid state record"
extends Modelica.Icons.Record;
SI.Temperature T "Temperature";
SI.Pressure p "Pressure";
// SI.Density d "Density";
end BaseProps_Tpoly;
// record BaseProps_Tpoly_old "Fluid state record"
// extends Modelica.Media.Interfaces.PartialMedium.ThermodynamicState;
// // SI.SpecificHeatCapacity cp "Specific heat capacity";
// SI.Temperature T "Temperature";
// SI.Pressure p "Pressure";
// // SI.Density d "Density";
// parameter Real[:] poly_rho "Polynomial coefficients";
// parameter Real[:] poly_Cp "Polynomial coefficients";
// parameter Real[:] poly_eta "Polynomial coefficients";
// parameter Real[:] poly_pVap "Polynomial coefficients";
// parameter Real[:] poly_lam "Polynomial coefficients";
// parameter Real[:] invTK "Inverse T [1/K]";
// end BaseProps_Tpoly_old;
end Common;
package TableBased "Incompressible medium properties based on tables"
import Modelica.Math.Polynomials;
extends Modelica.Media.Interfaces.PartialMedium(
ThermoStates = if enthalpyOfT then Modelica.Media.Interfaces.Choices.IndependentVariables.T
else Modelica.Media.Interfaces.Choices.IndependentVariables.pT,
final reducedX=true,
final fixedX = true,
mediumName="tableMedium",
redeclare record ThermodynamicState=Common.BaseProps_Tpoly,
singleState=true,
reference_p = 1.013e5,
Temperature(min = T_min, max = T_max));
// Constants to be set in actual Medium
constant Boolean enthalpyOfT=true
"True if enthalpy is approximated as a function of T only, (p-dependence neglected)";
constant Boolean densityOfT = size(tableDensity,1) > 1
"True if density is a function of temperature";
constant SI.Temperature T_min
"Minimum temperature valid for medium model";
constant SI.Temperature T_max
"Maximum temperature valid for medium model";
constant Temperature T0=273.15 "Reference Temperature";
constant SpecificEnthalpy h0=0 "Reference enthalpy at T0, reference_p";
constant SpecificEntropy s0=0 "Reference entropy at T0, reference_p";
constant MolarMass MM_const=0.1 "Molar mass";
constant Integer npol=2 "Degree of polynomial used for fitting";
constant Integer npolDensity=npol
"Degree of polynomial used for fitting rho(T)";
constant Integer npolHeatCapacity=npol
"Degree of polynomial used for fitting Cp(T)";
constant Integer npolViscosity=npol
"Degree of polynomial used for fitting eta(T)";
constant Integer npolVaporPressure=npol
"Degree of polynomial used for fitting pVap(T)";
constant Integer npolConductivity=npol
"Degree of polynomial used for fitting lambda(T)";
constant Integer neta=size(tableViscosity,1)
"Number of data points for viscosity";
constant Real[:,2] tableDensity "Table for rho(T)";
constant Real[:,2] tableHeatCapacity "Table for Cp(T)";
constant Real[:,2] tableViscosity "Table for eta(T)";
constant Real[:,2] tableVaporPressure "Table for pVap(T)";
constant Real[:,2] tableConductivity "Table for lambda(T)";
// constant Real[:] TK=tableViscosity[:,1]+T0*ones(neta) "Temperature for Viscosity";
constant Boolean TinK "True if T[K],Kelvin used for table temperatures";
constant Boolean hasDensity = not (size(tableDensity,1)==0)
"True if table tableDensity is present";
constant Boolean hasHeatCapacity = not (size(tableHeatCapacity,1)==0)
"True if table tableHeatCapacity is present";
constant Boolean hasViscosity = not (size(tableViscosity,1)==0)
"True if table tableViscosity is present";
constant Boolean hasVaporPressure = not (size(tableVaporPressure,1)==0)
"True if table tableVaporPressure is present";
final constant Real invTK[neta] = if size(tableViscosity,1) > 0 then
(if TinK then 1 ./ tableViscosity[:,1] else 1 ./ Cv.from_degC(tableViscosity[:,1])) else fill(0,neta);
final constant Real poly_rho[:] = if hasDensity then
Polynomials.fitting(tableDensity[:,1],tableDensity[:,2],npolDensity) else
zeros(npolDensity+1);
final constant Real poly_Cp[:] = if hasHeatCapacity then
Polynomials.fitting(tableHeatCapacity[:,1],tableHeatCapacity[:,2],npolHeatCapacity) else
zeros(npolHeatCapacity+1);
final constant Real poly_eta[:] = if hasViscosity then
Polynomials.fitting(invTK, Math.log(tableViscosity[:,2]),npolViscosity) else
zeros(npolViscosity+1);
final constant Real poly_pVap[:] = if hasVaporPressure then
Polynomials.fitting(tableVaporPressure[:,1],tableVaporPressure[:,2],npolVaporPressure) else
zeros(npolVaporPressure+1);
final constant Real poly_lam[:] = if size(tableConductivity,1)>0 then
Polynomials.fitting(tableConductivity[:,1],tableConductivity[:,2],npolConductivity) else
zeros(npolConductivity+1);
function invertTemp "Function to invert temperatures"
extends Modelica.Icons.Function;
input Real[:] table "Table temperature data";
input Boolean Tink "Flag for Celsius or Kelvin";
output Real invTable[size(table,1)] "Inverted temperatures";
algorithm
for i in 1:size(table,1) loop
invTable[i] := if TinK then 1/table[i] else 1/Cv.from_degC(table[i]);
end for;
end invertTemp;
redeclare model extends BaseProperties(
final standardOrderComponents=true,
p_bar=Cv.to_bar(p),
T_degC(start = T_start-273.15)=Cv.to_degC(T),
T(start = T_start,
stateSelect=if preferredMediumStates then StateSelect.prefer else StateSelect.default))
"Base properties of T dependent medium"
SI.SpecificHeatCapacity cp "Specific heat capacity";
parameter SI.Temperature T_start = 298.15 "Initial temperature";
equation
assert(hasDensity,"Medium " + mediumName +
" can not be used without assigning tableDensity.");
assert(T >= T_min and T <= T_max, "Temperature T (= " + String(T) +
" K) is not in the allowed range (" + String(T_min) +
" K <= T <= " + String(T_max) + " K) required from medium model \""
+ mediumName + "\".");
R_s = Modelica.Constants.R/MM_const;
cp = Polynomials.evaluate(poly_Cp,if TinK then T else T_degC);
h = specificEnthalpyOfT(p,T,densityOfT);
u = h - (if singleState then reference_p/d else state.p/d);
d = Polynomials.evaluate(poly_rho,if TinK then T else T_degC);
state.T = T;
state.p = p;
MM = MM_const;
end BaseProperties;
redeclare function extends setState_pTX
"Returns state record, given pressure and temperature"
algorithm
state := ThermodynamicState(p=p,T=T);
end setState_pTX;
redeclare function extends setState_dTX
"Returns state record, given pressure and temperature"
algorithm
assert(false, "For incompressible media with d(T) only, state can not be set from density and temperature");
end setState_dTX;
function setState_pT "Returns state record as function of p and T"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
output ThermodynamicState state "Thermodynamic state";
algorithm
state.T := T;
state.p := p;
end setState_pT;
redeclare function extends setState_phX
"Returns state record, given pressure and specific enthalpy"
algorithm
state :=ThermodynamicState(p=p,T=T_ph(p,h));
end setState_phX;
function setState_ph "Returns state record as function of p and h"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
output ThermodynamicState state "Thermodynamic state";
algorithm
state :=ThermodynamicState(p=p,T=T_ph(p,h));
end setState_ph;
redeclare function extends setState_psX
"Returns state record, given pressure and specific entropy"
algorithm
state :=ThermodynamicState(p=p,T=T_ps(p,s));
end setState_psX;
function setState_ps "Returns state record as function of p and s"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
output ThermodynamicState state "Thermodynamic state";
algorithm
state :=ThermodynamicState(p=p,T=T_ps(p,s));
end setState_ps;
redeclare function extends setSmoothState
"Return thermodynamic state so that it smoothly approximates: if x > 0 then state_a else state_b"
algorithm
state :=ThermodynamicState(p=Media.Common.smoothStep(x, state_a.p, state_b.p, x_small),
T=Media.Common.smoothStep(x, state_a.T, state_b.T, x_small));
end setSmoothState;
redeclare function extends specificHeatCapacityCv
"Specific heat capacity at constant volume (or pressure) of medium"
algorithm
assert(hasHeatCapacity,"Specific Heat Capacity, Cv, is not defined for medium "
+ mediumName + ".");
cv := Polynomials.evaluate(poly_Cp,if TinK then state.T else state.T - 273.15);
end specificHeatCapacityCv;
redeclare function extends specificHeatCapacityCp
"Specific heat capacity at constant volume (or pressure) of medium"
algorithm
assert(hasHeatCapacity,"Specific Heat Capacity, Cv, is not defined for medium "
+ mediumName + ".");
cp := Polynomials.evaluate(poly_Cp,if TinK then state.T else state.T - 273.15);
end specificHeatCapacityCp;
redeclare function extends dynamicViscosity
"Return dynamic viscosity as a function of the thermodynamic state record"
algorithm
assert(size(tableViscosity,1)>0,"DynamicViscosity, eta, is not defined for medium "
+ mediumName + ".");
eta := Math.exp(Polynomials.evaluate(poly_eta, 1/state.T));
end dynamicViscosity;
redeclare function extends thermalConductivity
"Return thermal conductivity as a function of the thermodynamic state record"
algorithm
assert(size(tableConductivity,1)>0,"ThermalConductivity, lambda, is not defined for medium "
+ mediumName + ".");
lambda := Polynomials.evaluate(poly_lam,if TinK then state.T else Cv.to_degC(state.T));
end thermalConductivity;
function s_T "Compute specific entropy"
extends Modelica.Icons.Function;
input Temperature T "Temperature";
output SpecificEntropy s "Specific entropy";
algorithm
s := s0 + (if TinK then
Polynomials.integralValue(poly_Cp[1:npol],T, T0) else
Polynomials.integralValue(poly_Cp[1:npol],Cv.to_degC(T),Cv.to_degC(T0)))
+ Modelica.Math.log(T/T0)*
Polynomials.evaluate(poly_Cp,if TinK then 0 else Modelica.Constants.T_zero);
end s_T;
redeclare function extends specificEntropy
"Return specific entropy as a function of the thermodynamic state record"
protected
Integer npol=size(poly_Cp,1)-1;
algorithm
assert(hasHeatCapacity,"Specific Entropy, s(T), is not defined for medium "
+ mediumName + ".");
s := s_T(state.T);
end specificEntropy;
function h_T "Compute specific enthalpy from temperature"
import Modelica.Units.Conversions.to_degC;
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature";
output SI.SpecificEnthalpy h "Specific enthalpy at p, T";
algorithm
h :=h0 + Polynomials.integralValue(poly_Cp, if TinK then T else Cv.to_degC(T), if TinK then
T0 else Cv.to_degC(T0));
end h_T;
function h_T_der "Compute specific enthalpy from temperature"
import Modelica.Units.Conversions.to_degC;
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature";
input Real dT "Temperature derivative";
output Real dh "Derivative of Specific enthalpy at T";
algorithm
dh :=Polynomials.evaluate(poly_Cp, if TinK then T else Cv.to_degC(T))*dT;
end h_T_der;
function h_pT "Compute specific enthalpy from pressure and temperature"
import Modelica.Units.Conversions.to_degC;
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Boolean densityOfT = false "Include or neglect density derivative dependence of enthalpy";
output SI.SpecificEnthalpy h "Specific enthalpy at p, T";
algorithm
h :=h0 + Polynomials.integralValue(poly_Cp, if TinK then T else Cv.to_degC(T), if TinK then
T0 else Cv.to_degC(T0)) + (p - reference_p)/Polynomials.evaluate(poly_rho, if TinK then
T else Cv.to_degC(T))
*(if densityOfT then (1 + T/Polynomials.evaluate(poly_rho, if TinK then T else Cv.to_degC(T))
*Polynomials.derivativeValue(poly_rho,if TinK then T else Cv.to_degC(T))) else 1.0);
end h_pT;
function density_T "Return density as function of temperature"
extends Modelica.Icons.Function;
input Temperature T "Temperature";
output Density d "Density";
algorithm
d := Polynomials.evaluate(poly_rho,if TinK then T else Cv.to_degC(T));
end density_T;
redeclare function extends temperature
"Return temperature as a function of the thermodynamic state record"
algorithm
T := state.T;
end temperature;
redeclare function extends pressure
"Return pressure as a function of the thermodynamic state record"
algorithm
p := state.p;
end pressure;
redeclare function extends density
"Return density as a function of the thermodynamic state record"
algorithm
d := Polynomials.evaluate(poly_rho,if TinK then state.T else Cv.to_degC(state.T));
end density;
redeclare function extends specificEnthalpy
"Return specific enthalpy as a function of the thermodynamic state record"
algorithm
h := specificEnthalpyOfT(state.p, state.T);
end specificEnthalpy;
redeclare function extends specificInternalEnergy
"Return specific internal energy as a function of the thermodynamic state record"
algorithm
u := specificEnthalpyOfT(state.p,state.T) - (if singleState then reference_p else state.p)/density(state);
end specificInternalEnergy;
function T_ph "Compute temperature from pressure and specific enthalpy"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
output Temperature T "Temperature";
protected
function f_nonlinear "Solve specificEnthalpyOfT(p,T) for T with given h"
extends Modelica.Math.Nonlinear.Interfaces.partialScalarFunction;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
algorithm
y := specificEnthalpyOfT(p=p, T=u) - h;
end f_nonlinear;
algorithm
T := Modelica.Math.Nonlinear.solveOneNonlinearEquation(
function f_nonlinear(p=p, h=h), T_min, T_max);
end T_ph;
function T_ps "Compute temperature from pressure and specific enthalpy"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure (unused)";
input SpecificEntropy s "Specific entropy";
output Temperature T "Temperature";
protected
function f_nonlinear "Solve s_T(T) for T with given s"
extends Modelica.Math.Nonlinear.Interfaces.partialScalarFunction;
input SpecificEntropy s "Specific entropy";
algorithm
y := s_T(T=u) - s;
end f_nonlinear;
algorithm
T := Modelica.Math.Nonlinear.solveOneNonlinearEquation(
function f_nonlinear(s=s), T_min, T_max);
end T_ps;
protected
function specificEnthalpyOfT
"Return specific enthalpy from pressure and temperature, taking the flag enthalpyOfT into account"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
input Boolean densityOfT = false "Include or neglect density derivative dependence of enthalpy";
output SpecificEnthalpy h "Specific enthalpy";
algorithm
h := if enthalpyOfT then h_T(T) else h_pT(p, T, densityOfT);
end specificEnthalpyOfT;
end TableBased;
end Incompressible; |
Library of media property models | within Modelica;
package Media "Library of media property models"
extends Modelica.Icons.Package;
import Modelica.Units.SI;
import Cv = Modelica.Units.Conversions;
package UsersGuide "User's Guide of Media Library"
extends Modelica.Icons.Information;
package MediumUsage "Medium usage"
extends Modelica.Icons.Information;
class BasicUsage "Basic usage"
extends Modelica.Icons.Information;</li>
<li> <strong>Functions</strong> to compute additional properties (such as saturation
properties, viscosity, thermal conductivity, etc.).</li>
</ul>
<p>
There are - as stated above - two different basic ways of using the Media library which
will be described in more details in the following section. One way is to use the model BaseProperties.
Every instance of BaseProperties for any medium model provides <strong>3+nXi
equations</strong> for the following <strong>5+nXi variables</strong> that are declared in
the medium model (nXi is the number of independent mass fractions, see
explanation below):
</p>
<table border=\"1\" cellspacing=\"0\" cellpadding=\"2\">
<tr><td><strong>Variable</strong></td>
<td><strong>Unit</strong></td>
<td><strong>Description</strong></td></tr>
<tr><td>T</td>
<td>K</td>
<td>temperature</td></tr>
<tr><td>p</td>
<td>Pa</td>
<td>absolute pressure</td></tr>
<tr><td>d</td>
<td>kg/m3</td>
<td>density</td></tr>
<tr><td>u</td>
<td>J/kg</td>
<td>specific internal energy</td></tr>
<tr><td>h</td>
<td>J/kg</td>
<td>specific enthalpy (h = u + p/d)</td></tr>
<tr><td>Xi[nXi]</td>
<td>kg/kg</td>
<td>independent mass fractions m_i/m</td></tr>
<tr><td>X[nX]</td>
<td>kg/kg</td>
<td>All mass fractions m_i/m. X is defined in BaseProperties by:<br>
X = <strong>if</strong> reducedX <strong>then</strong> vector([Xi; 1-<strong>sum</strong>(Xi)])
<strong>else</strong> Xi </td></tr>
</table>
<p>
<strong>Two</strong> variables out of p, d, h, or u, as well as the
<strong>mass fractions</strong> Xi are the <strong>independent</strong> variables and the
medium model basically provides equations to compute
the remaining variables, including the full mass fraction vector X
(more details to Xi and X are given further below).
</p>
<p>
In a component, the most basic usage of a medium model is as follows
</p>
<blockquote><pre>
<strong>model</strong> Pump
<strong>replaceable package</strong> Medium = Modelica.Media.Interfaces.PartialMedium
\"Medium model\" <strong>annotation</strong> (choicesAllMatching = <strong>true</strong>);
Medium.BaseProperties medium_a \"Medium properties at location a (e.g., port_a)\";
// Use medium variables (medium_a.p, medium_a.T, medium_a.h, ...)
...
<strong>end</strong> Pump;
</pre></blockquote>
<p>
The second way is to use the setState_XXX functions to compute the thermodynamic state
record from which all other thermodynamic state variables can be computed (see
<a href=\"modelica://Modelica.Media.UsersGuide.MediumDefinition.BasicDefinition\">
Basic definition of medium</a> for further details on ThermodynamicState). The setState_XXX functions
accept either X or Xi (see explanation below) and will decide internally which of these two compositions
is provided by the user. The four fundamental setState_XXX functions are provided in PartialMedium
</p>
<table border=\"1\" cellspacing=\"0\" cellpadding=\"2\">
<tr><td><strong>Function</strong></td>
<td><strong>Description</strong></td>
<td><strong>Short-form for<br>single component medium</strong></td></tr>
<tr><td>setState_dTX</td>
<td>computes ThermodynamicState from density, temperature, and composition X or Xi</td>
<td>setState_dT</td></tr>
<tr><td>setState_phX</td>
<td>computes ThermodynamicState from pressure, specific enthalpy, and composition X or Xi</td>
<td>setState_ph</td></tr>
<tr><td>setState_psX</td>
<td>computes ThermodynamicState from pressure, specific entropy, and composition X or Xi</td>
<td>setState_ps</td></tr>
<tr><td>setState_pTX</td>
<td>computes ThermodynamicState from pressure, temperature, and composition X or Xi</td>
<td>setState_pT</td></tr>
</table>
<p>
The simple example that explained the basic usage of BaseProperties would then become
</p>
<blockquote><pre>
<strong>model</strong> Pump
<strong>replaceable package</strong> Medium = Modelica.Media.Interfaces.PartialMedium
\"Medium model\" <strong>annotation</strong> (choicesAllMatching = <strong>true</strong>);
Medium.ThermodynamicState state_a \"Thermodynamic state record at location a (e.g., port_a)\";
// Compute medium variables from thermodynamic state record (pressure(state_a), temperature(state_a),
// specificEnthalpy(state_a), ...)
...
<strong>end</strong> Pump;
</pre></blockquote>
<p>
All media models are directly or indirectly a subpackage of package
Modelica.Media.Interfaces.PartialMedium. Therefore,
a medium model in a component should inherit from this
partial package. Via the annotation \"choicesAllMatching = true\" it
is defined that the tool should display a selection box with
all loaded packages that inherit from PartialMedium. An example
is given in the next figure:
</p>
<div>
<img src=\"modelica://Modelica/Resources/Images/Media/UsersGuide/MediumUsage/mediumMenu.png\" alt=\"medium selection menu\">
</div>
<p>
A selected medium model leads, e.g., to the following equation:
</p>
<blockquote><pre>
Pump pump(<strong>redeclare package</strong> Medium = Modelica.Media.Water.SimpleLiquidWater);
</pre></blockquote>
<p>
Usually, a medium model is associated with the variables of a
fluid connector. Therefore, equations have to be defined in a model
that relate the variables in the connector with the variables
in the medium model:
</p>
<blockquote><pre>
<strong>model</strong> Pump
<strong>replaceable package</strong> Medium = Modelica.Media.Interfaces.PartialMedium
\"Medium model\" <strong>annotation</strong> (choicesAllMatching = <strong>true</strong>);
Medium.BaseProperties medium_a \"Medium properties of port_a\";
// definition of the fluid port port_a
...
<strong>equation</strong>
medium.p = port_a.p;
medium.h = port_a.h;
medium.Xi = port_a.Xi;
...
<strong>end</strong> Pump;
</pre></blockquote>
in the case of using BaseProperties or
<blockquote><pre>
<strong>model</strong> Pump
<strong>replaceable package</strong> Medium = Modelica.Media.Interfaces.PartialMedium
\"Medium model\" <strong>annotation</strong> (choicesAllMatching = <strong>true</strong>);
Medium.ThermodynamicState state_a \"Thermodynamic state record of medium at port_a\";
// definition of the fluid port port_a
...
<strong>equation</strong>
state_a = Medium.setState_phX(port_a.p, port_a.h, port_a.Xi) // if port_a contains the variables
// p, h, and Xi
...
<strong>end</strong> Pump;
</pre></blockquote>
<p>
in the case of using ThermodynamicState.
</p>
<p>
If a component model shall treat both single and multiple
substance fluids, equations for the mass fractions have to be
present (above: medium.Xi = port_a.Xi) in the model. According
to the Modelica semantics, the equations of the mass fractions
are ignored, if the dimension of Xi is zero, i.e., for a single-component
medium. Note, by specific techniques sketched in section
\"Medium definition\", the independent variables in the medium model
need not to be the same as the variables in the connector and still
get the same efficiency, as if the same variables would be used.
</p>
<p>
If a fluid consists of a single
substance, <strong>nXi = 0</strong> and the vector of mass fractions Xi is not
present. If a fluid consists of nS substances,
the medium model may define the number of independent
mass fractions <strong>nXi</strong> to be <strong>nS</strong>, <strong>nS-1</strong>, or zero.
In all cases, balance equations for nXi substances have to be
given in the corresponding component (see discussion below).
Note, that if nXi = nS, the constraint \"sum(Xi)=1\" between the mass
fractions is <strong>not</strong> present in the model; in that case, it is necessary to
provide consistent start values for Xi such that sum(Xi) = 1.
</p>
<p>
The reason for this definition of Xi is that a fluid component library
can be implemented by using only the independent mass fractions Xi and
then via the medium it is defined how Xi is interpreted:
</p>
<ul>
<li> If Xi = nS, then the constraint equation sum(X) = 1 is neglected
during simulation. By making sure that the initial conditions of X
fulfill this constraint, it can usually be guaranteed that small
errors in sum(X) = 1 remain small although this constraint equation is
not explicitly used during the simulation. This approach is usually useful
if components of the mixture can become very small. If such a small
quantity is computed via the equation 1 - sum(X[1:nX-1]), there might
be large numerical errors and it is better to compute it via
the corresponding balance equation.</li>
<li> If Xi = nS-1, then the true independent mass fractions are used
in the fluid component and the last component of X is computed via
X[nX] = 1 - sum(Xi). This is useful for, e.g., MoistAir, where the
number of states should be as small as possible without introducing
numerical problems.</li>
<li> If Xi = 0, then the reference value of composition reference_X is
assumed. This case is useful to avoid composition states in all
the cases when the composition will always be constant, e.g., with
circuits having fixed composition sources.</li>
</ul>
<p>
The full vector of mass fractions <strong>X[nX]</strong> is computed in
PartialMedium.BaseProperties based on Xi, reference_X, and the information whether Xi = nS or nS-1. For single-substance media, nX = 0, so there's also no X vector. For multiple-substance media, nX = nS, and X always contains the full vector of mass fractions. In order to reduce confusion for the user of a fluid component library, \"Xi\" has the annotation \"HideResult=true\", meaning, that this variable is not shown in the plot window. Only X is shown in the plot window and this vector always contains all mass fractions.
</p>
</html>"));
end BasicUsage;
class BalanceVolume "Balance volume"
extends Modelica.Icons.Information;
FluidPort_a port(<strong>redeclare package</strong> Medium = Medium);
Medium.BaseProperties medium(preferredMediumStates = <strong>true</strong>);
SI.Energy U \"Internal energy of junction volume\";
SI.Mass M \"Mass of junction volume\";
SI.Mass MX[Medium.nXi] \"Independent substance masses of junction volume\";
<strong>equation</strong>
medium.p = port.p;
medium.h = port.h;
medium.Xi = port.Xi;
M = V*medium.d; // mass of JunctionVolume
MX = M*medium.Xi; // mass fractions in JunctionVolume
U = M*medium.u; // internal energy in JunctionVolume
<strong>der</strong>(M) = port.m_flow; // mass balance
<strong>der</strong>(MX) = port.mX_flow; // substance mass balance
<strong>der</strong>(U) = port.H_flow; // energy balance
<strong>end</strong> JunctionVolume;
</pre></blockquote>
<p>
Assume the Modelica.Media.Air.SimpleAir medium model is used with
the JunctionVolume model above. This medium model uses pressure p
and temperature T as independent variables. If the flag
\"preferredMediumStates\" is set to <strong>true</strong> in the declaration
of \"medium\", then the independent variables of this medium model
get the attribute \"stateSelect = StateSelect.prefer\", i.e., the
Modelica translator should use these variables as states, if this
is possible. Basically, this means that
constraints between the
potential states p,T and the potential states U,M are present.
A Modelica tool will therefore <strong>automatically</strong>
differentiate medium equations and will use the following
equations for code generation (note the equations related to X are
removed, because SimpleAir consists of a single substance only):
</p>
<blockquote><pre>
M = V*medium.d;
U = M*medium.u;
// balance equations
<strong>der</strong>(M) = port.m_flow;
<strong>der</strong>(U) = port.H_flow;
// abbreviations introduced to get simpler terms
p = medium.p;
T = medium.T;
d = medium.d;
u = medium.u;
h = medium.h;
// medium equations
d = fd(p,T);
h = fh(p,T);
u = h - p/d;
// equations derived <strong>automatically</strong> by a Modelica tool due to index reduction
<strong>der</strong>(U) = <strong>der</strong>(M)*u + M*<strong>der</strong>(u);
<strong>der</strong>(M) = V*<strong>der</strong>(d);
<strong>der</strong>(u) = <strong>der</strong>(h) - <strong>der</strong>(p)/d - p/<strong>der</strong>(d);
<strong>der</strong>(d) = <strong>der</strong>(fd,p)*<strong>der</strong>(p) + <strong>der</strong>(fd,T)*<strong>der</strong>(T);
<strong>der</strong>(h) = <strong>der</strong>(fh,p)*<strong>der</strong>(p) + <strong>der</strong>(fd,T)*<strong>der</strong>(T);
</pre></blockquote>
<p>
Note, that \"der(y,x)\" is an operator that characterizes
in the example above the partial derivative of y with respect to x
(this operator will be included in one of the next Modelica language
releases).
All media models in this library are written in such a way that
at least the partial derivatives of the medium variables with
respect to the independent variables are provided, either because
the equations are directly given (= symbolic differentiation is possible)
or because the derivative of the corresponding function (such as fd above)
is provided. A Modelica tool will transform the equations above
in differential equations with p and T as states, i.e., will
generate equations to compute <strong>der</strong>(p) and <strong>der</strong>(T) as function of p and T.
</p>
<p>
Note, when preferredMediumStates = <strong>false</strong>, no differentiation
will take place and the Modelica translator will use the variables
appearing differentiated as states, i.e., M and U. This has the
disadvantage that for many media non-linear systems of equations are
present to compute the intrinsic properties p, d, T, u, h from
M and U.
</p>
</html>"));
end BalanceVolume;
class ShortPipe "Short pipe"
extends Modelica.Icons.Information;
Utilities.FluidPort_a port_a (<strong>redeclare package</strong> Medium = Medium);
Utilities.FluidPort_b port_b (<strong>redeclare package</strong> Medium = Medium);
SI.Pressure dp = port_a.p - port_b.p \"Pressure drop\";
Medium.BaseProperties medium_a \"Medium properties in port_a\";
Medium.BaseProperties medium_b \"Medium properties in port_b\";
<strong>equation</strong>
// define media models of the ports
medium_a.p = port_a.p;
medium_a.h = port_a.h;
medium_a.Xi = port_a.Xi;
medium_b.p = port_b.p;
medium_b.h = port_b.h;
medium_b.Xi = port_b.Xi;
// Handle reverse and zero flow (semiLinear is a built-in Modelica operator)
port_a.H_flow = <strong>semiLinear</strong>(port_a.m_flow, port_a.h, port_b.h);
port_a.mXi_flow = <strong>semiLinear</strong>(port_a.m_flow, port_a.Xi, port_b.Xi);
// Energy, mass and substance mass balance
port_a.H_flow + port_b.H_flow = 0;
port_a.m_flow + port_b.m_flow = 0;
port_a.mXi_flow + port_b.mXi_flow = zeros(Medium.nXi);
// Provide equation: port_a.m_flow = f(dp)
<strong>end</strong> ShortPipe;
</pre></blockquote>
<p>
The <strong>semiLinear</strong>(..) operator is basically defined as:
</p>
<blockquote><pre>
semiLinear(m_flow, ha, hb) = if m_flow ≥ 0 then m_flow*ha else m_flow*hb;
</pre></blockquote>
<p>
that is, it computes the enthalpy flow rate either from the port_a or
from the port_b properties, depending on flow direction. The exact
details of this operator are given in
<a href=\"modelica://ModelicaReference.Operators.'semiLinear()'\">
ModelicaReference.Operators.'semiLinear()'</a>. Especially, rules
are defined in the Modelica specification that m_flow = 0 can be treated
in a \"meaningful way\". Especially, if n fluid components (such as pipes)
are connected together and the fluid connector from above is used,
a linear system of equations appear between
medium1.h, medium2.h, medium3.h, ..., port1.h, port2.h, port3.h, ...,
port1.H_flow, port2.H_flow, port3.H_flow, .... The rules for the
semiLinear(..) operator allow the following solution of this
linear system of equations:
</p>
<ul>
<li> n = 2 (two components are connected):<br>
The linear system of equations can be analytically solved
with the result
<blockquote><pre>
medium1.h = medium2.h = port1.h = port2.h
0 = port1.H_flow + port2.H_flow
</pre></blockquote>
Therefore, no problems with zero mass flow rate are present.</li>
<li> n > 2 (more than two components are connected together):<br>
The linear system of equations is solved numerically during simulation.
For m_flow = 0, the linear system becomes singular and has an
infinite number of solutions. The simulator could use the solution t
that is closest to the solution in the previous time step
(\"least squares solution\"). Physically, the solution is determined
by diffusion which is usually neglected. If diffusion is included,
the linear system is regular.</li>
</ul>
</html>"));
end ShortPipe;
class OptionalProperties "Optional properties"
extends Modelica.Icons.Information;
// use eta in the pressure drop equation: port_a.m_flow = f(dp, eta)
<strong>end</strong> ShortPipe;
</pre></blockquote>
<p>
Note, \"Medium.DynamicViscosity\" is a type defined in Modelica.Interfaces.PartialMedium
as
</p>
<blockquote><pre>
<strong>import</strong> Modelica.Units.SI;
<strong>type</strong> DynamicViscosity = SI.DynamicViscosity (
min=0,
max=1.e8,
nominal=1.e-3,
start=1.e-3);
</pre></blockquote>
<p>
Every medium model may modify the attributes, to provide, e.g.,
min, max, nominal, and start values adapted to the medium.
Also, other types, such as AbsolutePressure, Density, MassFlowRate,
etc. are defined in PartialMedium. Whenever possible, these medium
specific types should be used in a model in order that medium information,
e.g., about nominal or start values, are automatically utilized.
</p>
</html>"));
end OptionalProperties;
class Constants "Constants"
extends Modelica.Icons.Information;
end Constants;
class TwoPhase "Two-phase media"
extends Modelica.Icons.Information;
phase = state1.phase;
// Force the computation of the state with one-phase
// equations of state, irrespective of the (p, h) values
state1 = Medium.setState_ph(p, h, 1);
// Force the computation of the state with 2-phase
// equations of state, irrespective of the (p, h) values
state2 = Medium.setState_ph(p, h, 2);
</pre></blockquote>
<p>
This feature can be used for the following purposes:
</p>
<ul>
<li> saving computational time, if one knows in advance the phase of the medium;</li>
<li> unambiguously determine the phase, when the two inputs correspond to a point on the saturation boundary (the derivative functions have substantially different values on either side);</li>
<li> get the properties of metastable states, like superheated water or subcooled vapour.</li>
</ul>
<p>
Many additional optional functions are defined to compute properties of
saturated media, either liquid (bubble point) or vapour (dew point).
The argument to such functions is a SaturationProperties record, which can be
set starting from either the saturation pressure or the saturation temperature,
as shown in the following example.
</p>
<blockquote><pre>
<strong>replaceable package</strong> Medium = Modelica.Media.Interfaces.PartialTwoPhaseMedium;
Medium.SaturationProperties sat_p;
Medium.SaturationProperties sat_T;
<strong>equation</strong>
// Set sat_p to saturation properties at pressure p
sat_p = Medium.setSat_p(p);
// Compute saturation properties at pressure p
saturationTemperature_p = Medium.saturationTemperature_sat(sat_p);
bubble_density_p = Medium.bubbleDensity(sat_p);
dew_enthalpy_p = Medium.dewEnthalpy(sat_p);
// Set sat_T to saturation properties at temperature T
sat_T = Medium.setSat_T(T);
// Compute saturation properties at temperature T
saturationTemperature_T = Medium.saturationPressure_sat(sat_T);
bubble_density_T = Medium.bubbleDensity(sat_T);
dew_enthalpy_T = Medium.dewEnthalpy(sat_T);
</pre></blockquote>
<p>With reference to a model defining a pressure p, a temperature T, and a
SaturationProperties record sat, the following functions are provided:
</p>
<table border=\"1\" cellspacing=\"0\" cellpadding=\"2\">
<tr><td><strong>Function call</strong></td>
<td><strong>Unit</strong></td>
<td><strong>Description</strong></td></tr>
<tr><td>Medium.saturationPressure(T)</td>
<td>Pa</td>
<td>Saturation pressure at temperature T</td></tr>
<tr><td>Medium.saturationTemperature(p)</td>
<td>K</td>
<td>Saturation temperature at pressure p</td></tr>
<tr><td>Medium.saturationTemperature_derp(p)</td>
<td>K/Pa</td>
<td>Derivative of saturation temperature with respect to pressure</td></tr>
<tr><td>Medium.saturationTemperature_sat(sat)</td>
<td>K</td>
<td>Saturation temperature</td></tr>
<tr><td>Medium.saturationPressure_sat(sat)</td>
<td>Pa</td>
<td>Saturation pressure</td></tr>
<tr><td>Medium.bubbleEnthalpy(sat)</td>
<td>J/kg</td>
<td>Specific enthalpy at bubble point</td></tr>
<tr><td>Medium.dewEnthalpy(sat)</td>
<td>J/kg</td>
<td>Specific enthalpy at dew point</td></tr>
<tr><td>Medium.bubbleEntropy(sat)</td>
<td>J/(kg.K)</td>
<td>Specific entropy at bubble point</td></tr>
<tr><td>Medium.dewEntropy(sat)</td>
<td>J/(kg.K)</td>
<td>Specific entropy at dew point</td></tr>
<tr><td>Medium.bubbleDensity(sat)</td>
<td>kg/m3</td>
<td>Density at bubble point</td></tr>
<tr><td>Medium.dewDensity(sat)</td>
<td>kg/m3</td>
<td>Density at dew point</td></tr>
<tr><td>Medium.saturationTemperature_derp_sat(sat)</td>
<td>K/Pa</td>
<td>Derivative of saturation temperature with respect to pressure</td></tr>
<tr><td>Medium.dBubbleDensity_dPressure(sat)</td>
<td>kg/(m3.Pa)</td>
<td>Derivative of density at bubble point with respect to pressure</td></tr>
<tr><td>Medium.dDewDensity_dPressure(sat)</td>
<td>kg/(m3.Pa)</td>
<td>Derivative of density at dew point with respect to pressure</td></tr>
<tr><td>Medium.dBubbleEnthalpy_dPressure(sat)</td>
<td>J/(kg.Pa)</td>
<td>Derivative of specific enthalpy at bubble point with respect to pressure</td></tr>
<tr><td>Medium.dDewEnthalpy_dPressure(sat)</td>
<td>J/(kg.Pa)</td>
<td>Derivative of specific enthalpy at dew point with respect to pressure</td></tr>
<tr><td>Medium.surfaceTension(sat)</td>
<td>N/m</td>
<td>Surface tension between liquid and vapour phase</td></tr>
</table>
<p>
Sometimes it can be necessary to compute fluid properties in the thermodynamic
plane, just inside or outside the saturation dome. In this case, it is possible
to obtain an instance of a ThermodynamicState state vector, and then use it
to call the additional functions already defined for one-phase media.
</p>
<table border=\"1\" cellspacing=\"0\" cellpadding=\"2\">
<tr><td><strong>Function call</strong></td>
<td><strong>Description</strong></td></tr>
<tr><td>Medium.setBubbleState(sat, phase)</td>
<td>Obtain the thermodynamic state vector
corresponding to the bubble point. If phase==1 (default), the state is
on the one-phase side; if phase==2, the state is on the two-phase
side </td></tr>
<tr><td>Medium.setDewState(sat, phase)</td>
<td>Obtain the thermodynamic state vector
corresponding to the dew point. If phase==1 (default), the state is
on the one-phase side; if phase==2, the state is on the two-phase
side </td></tr>
</table>
<p>
Here are some examples:
</p>
<blockquote><pre>
<strong>replaceable package</strong> Medium = Modelica.Media.Interfaces.PartialTwoPhaseMedium;
Medium.SaturationProperties sat;
Medium.ThermodynamicState dew_1; // dew point, one-phase side
Medium.ThermodynamicState bubble_2; // bubble point, two phase side
<strong>equation</strong>
// Set sat to saturation properties at pressure p
sat = setSat_p(p);
// Compute dew point properties, (default) one-phase side
dew_1 = setDewState(sat);
cpDew = Medium.specificHeatCapacityCp(dew_1);
drho_dp_h_1 = Medium.density_derp_h(dew_1);
// Compute bubble point properties, two-phase side
bubble_2 = setBubbleState(sat, 2);
drho_dp_h_2 = Medium.density_derp_h(bubble_2);
</pre></blockquote>
</html>"));
end TwoPhase;
class Initialization "Initialization"
extends Modelica.Icons.Information;
Medium.BaseProperties medium2;
<strong>initial equation</strong>
<strong>if not</strong> Medium.singleState <strong>then</strong>
medium2.p = 1e5;
<strong>end if</strong>;
medium2.T = 300;
<strong>equation</strong>
</pre></blockquote>
<p>
If initial conditions are not provided for the independent
medium variables, non-linear systems of equations may
occur to compute the initial values of the independent
medium variables from the provided initial conditions.
</p>
<h4>Guess values</h4>
<p>
If non-linear systems of equations occur during initialization,
e.g., in case of steady state initialization, guess values
for the iteration variables of the non-linear system of equations
have to be provided via the \"start\" attribute (and fixed=false).
Unfortunately, it is usually not known in
advance which variables are selected as iteration variables of
a non-linear system of equations. One of the following possibilities
exist:
</p>
<ul>
<li> Do not supply start values and hope that the medium specific
types have meaningful start values, such as in \"Medium.AbsolutePressure\"
</li>
<li> Supply start values on all variables of the BaseProperties model,
i.e., on p, T, d, u, h, Xi.</li>
<li> Determine the iteration variables of the non-linear systems of
equations and provide start values for these variables.
In the Modelica simulation environment Dymola, the iteration
variables can be determined by setting the command
<code>Advanced.OutputModelicaCode = <strong>true</strong></code>
and by inspection of the file \"dsmodel.mof\" that is generated
when this option is set (search for \"nonlinear\").</li>
</ul>
</html>"));
end Initialization;
end MediumUsage;
package MediumDefinition "Medium definition"
extends Modelica.Icons.Information;
class BasicStructure "Basic structure"
extends Modelica.Icons.Information;
<strong>constant</strong> Boolean singleState = <strong>false</strong>;
<strong>constant</strong> Boolean reducedX = <strong>true</strong>;
<strong>constant</strong> Boolean fixedX = <strong>false</strong>;
<strong>constant</strong> AbsolutePressure reference_p = 101325;
<strong>constant</strong> MassFraction reference_X[nX]=fill(1/nX,nX);
<strong>constant</strong> AbsolutePressure p_default = 101325;
<strong>constant</strong> Temperature T_default = Modelica.Units.Conversions.from_degC(20);
<strong>constant</strong> SpecificEnthalpy h_default =
specificEnthalpy_pTX(p_default, T_default, X_default);
<strong>constant</strong> MassFraction X_default[nX]=reference_X;
<strong>final constant</strong> Integer nS = size(substanceNames,1);
<strong>final constant</strong> Integer nX = nS;
<strong>final constant</strong> Integer nXi = <strong>if</strong> fixedX <strong>then</strong> 0
<strong>else if</strong> reducedX <strong>or</strong> nS == 1
<strong>then</strong> nS-1 <strong>else</strong> nS;
<strong>final constant</strong> Integer nC = size(extraPropertiesNames,1);
<strong>constant</strong> FluidConstants[nS] fluidConstants;
<strong>replaceable record</strong> BasePropertiesRecord
AbsolutePressure p;
Density d;
Temperature T;
SpecificEnthalpy h;
SpecificInternalEnergy u;
MassFraction[nX] X;
MassFraction[nXi] Xi;
SpecificHeatCapacity R_s;
MolarMass MM;
<strong>end</strong> BasePropertiesRecord;
<strong>replaceable partial model</strong> BaseProperties
<strong>extends</strong> BasePropertiesRecord;
ThermodynamicState state;
<strong>parameter</strong> Boolean preferredMediumStates=false;
Modelica.Units.NonSI.Temperature_degC T_degC =
Modelica.Units.Conversions.to_degC(T)
Modelica.Units.NonSI.Pressure_bar p_bar =
Modelica.Units.Conversions.to_bar(p)
<strong>equation</strong>
Xi = X[1:nXi];
<strong>if</strong> nX > 1 <strong>then</strong>
<strong>if</strong> fixedX <strong>then</strong>
X = reference_X;
<strong>elseif</strong> reducedX <strong>then</strong>
X[nX] = 1 - sum(Xi);
<strong>end if</strong>;
<strong>end if</strong>;
// equations such as
// d = d(p,T);
// u = u(p,T);
// h = u + p/d;
// state.p = p;
// state.T = T;
// will go here in actual media implementations, but are not present
// in the base class since the ThermodynamicState record is still empty
<strong>end</strong> BaseProperties
<strong>replaceable record</strong> ThermodynamicState
// there are no \"standard\" thermodynamic variables in the base class
// but they will be defined here in actual media extending PartialMedium
// Example:
// AbsolutePressure p \"Absolute pressure of medium\";
// Temperature T \"Temperature of medium\";
<strong>end</strong> ThermodynamicState;
// optional medium properties
<strong>replaceable partial function</strong> dynamicViscosity
<strong>input</strong> ThermodynamicState state;
<strong>output</strong> DynamicViscosity eta;
<strong>end</strong> dynamicViscosity;
// other optional functions
// medium specific types
<strong>type</strong> AbsolutePressure = SI.AbsolutePressure (
min = 0,
max = 1.e8,
nominal = 1.e5,
start = 1.e5);
<strong>type</strong> DynamicViscosity = ...;
// other type definitions
<strong>end</strong> PartialMedium;
</pre></blockquote>
<p>
We will discuss all parts of this package in the
following paragraphs. An actual medium model should extend from PartialMedium
and has to provide implementations of the various parts.
</p>
<p>
Some of the constants at the beginning of the package do not have a value yet
(this is valid in Modelica), but a value has to be provided when extending from
package PartialMedium. A given value can be modified until the model is
translated or the <strong>final</strong> prefix is set.
The reason to use constants instead of parameters in the model BaseProperties
is that some of these constants are used in a context where parameters
are not allowed. For example, in connector definitions the
number of independent mass fractions nXi is used as dimension
of a vector Xi. When defining the
connector, only <em>constants</em> in packages can be accessed, but not
<em>parameters</em> in a model, because a connector cannot contain an instance
of BaseProperties.
</p>
<p>The record BasePropertiesRecord contains the variables
primarily used in balance equations. Three equations for these variables have
to be provided by every medium in model BaseProperties, plus two equations
for the gas constant and the molar mass.
</p>
<p>Optional medium properties are defined by functions, such as the function
dynamicViscosity (see code Section above) to compute the dynamic viscosity.
The argument of those functions is the ThermodynamicState record, defined
in BaseProperties, which contains the minimum number of thermodynamic variables
needed as an input to compute all the optional properties.
This construction simplifies the usage
considerably as demonstrated in the following code fragment:
</p>
<blockquote><pre>
<strong>replaceable package</strong> Medium = Modelica.Media.Interfaces.PartialMedium;
Medium.BaseProperties medium;
Medium.DynamicViscosity eta;
...
U = m*medium.u; //Internal energy
eta = Medium.dynamicViscosity(medium.state);
</pre></blockquote>
<p>Medium is the medium package that satisfies the
requirements of a PartialMedium (when using the model above, a value for
Medium has to be provided by a redeclaration). The medium component is an
instance of the model Medium.BaseProperties and contains the core medium
equations. Variables in this model can be accessed just by dot-notation, such
as medium.u or medium.T. If an optional medium variable has to be computed, the
corresponding function from the actual Medium package is called, such as
Medium.dynamicViscosity. The medium.state vector can be given as input argument
to this function, and its fields are kept consistent to those of BaseProperties
by suitable equations, contained in BaseProperties itself (see above).
</p>
<p>If a medium model does not provide implementations of all
optional functions and one of these functions is called in a model, an error
occurs during translation since the optional functions which have not been
redeclared have the <em>partial</em> attribute. For example, if function
dynamicViscosity is not provided in the medium model when it is used, only
simple pressure drop loss models without a reference to the viscosity can be
used and not the sophisticated ones.
</p>
<p>At the bottom of the PartialMedium package type declarations
are present, that are used in all other parts of the PartialMedium package and
that should be used in all models and connectors where a medium model is
accessed. The reason is that minimum, maximum, nominal, and start
values are defined and these values can be adapted to the particular medium at
hand. For example, the nominal value of AbsolutePressure is 10<sup>5</sup>
Pa. If a simple model of water steam is used that is only valid above 100 °C,
then the minimum value in the Temperature type should be set to this value. The
minimum and maximum values are also important for parameters in order to get an
early message if data outside of the validity region is given. The nominal
attribute is important as a scaling value if the variable is used as a state in
a differential equation or as an iteration variable in a non-linear system of
equations. The start attribute can be very useful to provide a meaningful
default start or guess value if the variable is used, e.g., as iteration
variable in a non-linear system of equations. Note, that all these attributes
can be set specifically for a medium in the following way:
</p>
<blockquote><pre>
<strong>package</strong> MyMedium
<strong>extends</strong> Modelica.Media.Interfaces.PartialMedium(
...
Temperature(min=373));
<strong>end</strong> MyMedium;
</pre></blockquote>
<p>
The type PartialMedium.MassFlowRate is defined as
</p>
<blockquote><pre>
<strong>type</strong> MassFlowRate = SI.MassFlowRate
(quantity = \"MassFlowRate.\" + mediumName);
</pre></blockquote>
<p>Note that the constant mediumName, that has to be
defined in every medium model, is used in the quantity attribute. For example,
if mediumName = SimpleLiquidWater, then the quantity attribute has the value
MassFlowRate.SimpleLiquidWater. This type should be used in a connector
definition of a fluid library:
</p>
<blockquote><pre>
<strong>connector</strong> FluidPort
<strong>replaceable package</strong> Medium = Modelica.Media.Interfaces.PartialMedium;
<strong>flow</strong> Medium.MassFlowRate m_flow;
...
<strong>end</strong> FluidPort;
</pre></blockquote>
<p>In the model where this connector is used, the actual
Medium has to be defined. Connectors can only be connected together, if the
corresponding attributes are either not defined or have identical values. Since
mediumName is part of the quantity attribute of MassFlowRate, it is not
possible to connect connectors with different media models together.</p>
</html>"));
end BasicStructure;
class BasicDefinition "Basic definition"
extends Modelica.Icons.Information; fast states
resulting from the low compressibility effects are automatically avoided.</li>
<li>reducedX = true for single-substance media, which do not need mass
fractions at all.</li>
</ul>
<p>
It is also possible to change the default min, max, nominal, and start
attributes of Medium-defined types (see TemplateMedium).</p>
<p>
All other package constants, such as nX, nXi, nS, are automatically set
by the declarations of the base package Interfaces.PartialMedium.</p>
<p>
The second step is to provide an implementation to the BaseProperties model,
partially defined in the base class Interfaces.PartialMedium. In the case of
single-substance media, two independent state variables must be selected among
p, T, d, u, h, and three equations must be written to provide the values of
the remaining variables. Two equations must then be added to compute the molar
mass MM and the gas constant R_s.</p>
<p>
The third step is to consider the optional functions that are going to be
implemented, among the partial functions defined by the base class PartialMedium.
A minimal set of state variables that could be provided as an input to
<em>all</em> those functions must be selected, and included in the redeclaration
of the ThermodynamicState record. Subsequently, equations must be added to
BaseProperties in order that the instance of that record inside BaseProperties
(named \"state\") is kept updated. For example, assume that all additional
properties can be computed as a function of p and T. Then, ThermodynamicState
should be redeclared as follows:</p>
<blockquote><pre>
<strong>redeclare replaceable record</strong> ThermodynamicState
AbsolutePressure p \"Absolute pressure of medium\";
Temperature T \"Temperature of medium\";
<strong>end</strong> ThermodynamicState;
</pre></blockquote>
<p>
and the following equations should be added to BaseProperties:
</p>
<blockquote><pre>
state.p = p;
state.T = T;
</pre></blockquote>
<p>
The additional functions can now be implemented by redeclaring the functions
defined in the base class and adding their algorithms, e.g.:
</p>
<blockquote><pre>
<strong>redeclare function extends</strong> dynamicViscosity \"Return dynamic viscosity\"
<strong>algorithm</strong>
eta := 10 - state.T*0.3 + state.p*0.2;
<strong>end</strong> dynamicViscosity;
</pre></blockquote>
</html>"));
end BasicDefinition;
class MultipleSubstances "Multiple Substances"
extends Modelica.Icons.Information;
end MultipleSubstances;
class SpecificEnthalpyAsFunction "Specific enthalpy as function"
extends Modelica.Icons.Information;
</pre></blockquote>
<p>
The reason for this rule requires a longer explanation.
In short, if h is not a computed by a Modelica function and
this function is non-linear in the independent medium variables,
then non-linear systems of equations will occur at
every connection point, if the FluidPort connectors from the
Modelica.Fluid library are used (these are the same as in
Modelica.Media.Examples.Utilities.FluidPort).
Only, if the above rule is fulfilled, a tool is able to
remove these non-linear system of equations in most cases.
</p>
<p>
The basic idea of the FluidPort connector is that 2 or more
components can be connected together at a point and that
automatically the mass and energy balance is fulfilled
in the connection point, i.e., the ideal mixing equations
are generated. Note, the momentum balance is only correct for
straight line connections. If \"ideal mixing\" is not sufficient,
a special component to define the mixing equations must be introduced.
</p>
<p>
The mass and momentum balance equations in a component are
derived from the partial differential equations along the
flow direction of a pipe:
</p>
<div>
<img src=\"modelica://Modelica/Resources/Images/Media/UsersGuide/MediumDefinition/BalanceEquations1.png\">
</div>
<p>
Note, F<sub>F</sub> is the fanning friction factor.
The energy balance can be given in different forms.
Usually, it is given as:
</p>
<div>
<img src=\"modelica://Modelica/Resources/Images/Media/UsersGuide/MediumDefinition/EnergyBalance1.png\">
</div>
<p>
This form describes the change of the internal energy, kinetic
energy and potential energy of a volume as function of the
in and out flowing fluid. Multiplying the momentum balance
with the flow velocity v and subtracting it from the energy
balance above, results in the following alternative form
of the energy balance:
</p>
<div>
<img src=\"modelica://Modelica/Resources/Images/Media/UsersGuide/MediumDefinition/EnergyBalance2.png\">
</div>
<p>
This form has the advantage that the kinetic and potential
energy is no longer part of the energy balance and therefore
the energy balance is substantially simpler (e.g., additional non-linear
systems of equations occur in the first form since the velocity
is present in the energy balance; in the second form this is not
the case and it is still valid also for high speeds).
</p>
<p>
Assume now that the second form of the energy balance above
is used in all components and that the following FluidPort connector
is used in all components:
</p>
<blockquote><pre>
<strong>connector</strong> FluidPort
<strong>replaceable package</strong> Medium = Modelica.Media.Interfaces.PartialMedium;
Medium.AbsolutePressure p;
<strong>flow</strong> Medium.MassFlowRate m_flow;
Medium.SpecificEnthalpy h;
<strong>flow</strong> Medium.EnthalpyFlowRate H_flow;
Medium.MassFraction Xi [Medium.nXi];
<strong>flow</strong> Medium.MassFlowRate mX_flow[Medium.nXi];
<strong>end</strong> FluidPort;
</pre></blockquote>
<p>
As an example, assume that 3 components
are connected together and that the medium is a single substance
fluid. This will result in the following
connection equations:
</p>
<blockquote><pre>
p1=p2=p3;
h1=h2=h3;
0 = m_flow1 + m_flow2 + m_flow3;
0 = H_flow1 + H_flow2 + H_flow3;
</pre></blockquote>
<p>
These are the mass balance and the
energy balance (form 2) of an infinitesimal volume
in the connection point under the assumption that no
mass or energy is stored in this volume. In other words,
the connection equations are the equations that describe
ideal mixing. Under the assumption that the velocity
vectors of the 3 flows are identical (especially, they are
parallel), also the momentum balance is fulfilled:
</p>
<blockquote><pre>
0 = m_flow1*v1 + m_flow2*v2 + m_flow3*v3;
= v*(m_flow1 + m_flow2 + m_flow3);
= 0;
</pre></blockquote>
<p>
With the above connector it is therefore possible to
connect components together in a nearly arbitrary fashion,
because every connection fulfills automatically the
balance equations. This approach has, however, one drawback:
If two components are connected together, then the medium
variables on both sides of the connector are identical.
However, due to the connector, only the two equations
</p>
<blockquote><pre>
p1 = p2;
h1 = h2;
</pre></blockquote>
<p>
are present. Assume, that p,T are the independent medium variables
and that the medium properties are computed at one side of the
connections. This means, the following equations are basically
present:
</p>
<blockquote><pre>
h1 = h(p1,T1);
h2 = h(p2,T2);
p1 = p2;
h1 = h2;
</pre></blockquote>
<p>
These equations can be solved in the following way:
</p>
<blockquote><pre>
h1 := h(p1,T1)
p2 := p1;
h2 := h1;
0 := h2 - h(p2,T2); // non-linear system of equations for T2
</pre></blockquote>
<p>
This means that T2 is computed by solving a non-linear system
of equations. If h1 and h2 are provided as Modelica functions,
a Modelica translator can replace
this non-linear system of equations by the equation:
</p>
<blockquote><pre>
T2 := T1;
</pre></blockquote>
<p>
because after alias substitution there are two function calls
</p>
<blockquote><pre>
h1 := h(p1,T1);
h1 := h(p1,T2);
</pre></blockquote>
<p>
Since the left hand side of the function call and the first
argument are the same, the second arguments T1 and T2 must also be
identical and therefore T2 := T1. This type of analysis seems
to be only possible, if the specific enthalpy is defined as a function
of the independent medium variables.
</p>
</html>"));
end SpecificEnthalpyAsFunction;
class StaticStateSelection "Static State Selection"
extends Modelica.Icons.Information;
u = h - R_s*T;
p = d*R_s*T;
...
<strong>end</strong> BaseProperties;
</pre></blockquote>
<p>
If p, T are preferred states, these equations are <strong>not</strong>
written in the recommended form, because d is not a
function of p and T. If p,T would be states, it would be
necessary to solve for the density:
</p>
<blockquote><pre>
d = p/(R_s*T)
</pre></blockquote>
<p>
If T or R_s are zero, this results in a division by zero.
A tool does not know that R_s or T cannot become zero.
Therefore, a tool must assume that p, T <strong>cannot</strong> always be
selected as states and has to either use another static
state selection or use dynamic state selection. The only
other choice for static state selection is d,T, because
h,u,p are given as functions of d,T.
However, as potential states only variables appearing differentiated and variables
declared with StateSelect.prefer or StateSelect.always
are used. Since \"d\" does not appear differentiated and has
StateSelect.default, it cannot be selected as a state.
As a result, the tool has to select states dynamically
during simulation. Since the equations above are non-linear
and they are utilized in the dynamic state
selection, a non-linear system of equations is present
in every balance volume.
</p>
<p>
To summarize, for single substance ideal gas media there
are the following two possibilities to get static
state selection and linear systems of equations:
</p>
<ol>
<li> Use p,T as preferred states and write the equation
for d in the form: d = p/(T*R_s)</li>
<li> Use d,T as preferred states and write the equation
for p in the form: p = d*T*R_s</li>
</ol>
<p>
All other settings (other/no preferred states etc.) lead
to dynamic state selection and non-linear systems of
equations for a balance volume.
</p>
<p>
<strong>Multiple Substance Media</strong>
</p>
<p>
A medium consisting of multiple substance
has to define two of \"p,T,d,u,h\" as well
as the mass fractions Xi with
stateSelect=StateSelect.prefer (if BaseProperties.preferredMediumStates = <strong>true</strong>)
and has to provide
the other three variables as functions of these
states. Only then, static selection is possible
for a tool.
</p>
<p>
<strong>Example for a multiple substance medium:</strong>
</p>
<p>
p, T and Xi are defined as preferred states and
the equations are written in the form:
</p>
<blockquote><pre>
d = fp(p,T,Xi);
u = fu(p,T,Xi);
h = fh(p,T,Xi);
</pre></blockquote>
<p>
Since the balance equations are written in the form:
</p>
<blockquote><pre>
M = V*medium.d;
MXi = M*medium.Xi;
</pre></blockquote>
<p>
The variables M and MXi appearing differentiated in the
balance equations are provided as functions of d and Xi
and since d is given as a function of p, T and Xi, it
is possible to compute M and MXi directly from the desired
states. This means that static state selection is possible.
</p>
</html>"));
end StaticStateSelection;
class TestOfMedium "Test of medium"
extends Modelica.Icons.Information;
<strong>end</strong> TestOfMyMedium;
</pre></blockquote>
<p>
It might be necessary to adapt or change initial values
depending on the validity range of the medium.
The model above should translate and simulate.
If the medium model is written according to the
suggestions given in the previous sections (and the Modelica
translator has appropriate algorithms implemented),
there should be only static state selection everywhere
and no non-linear system of equations, provided h is an independent
medium variable or is only a function of T. If h is a function
of, say h=h(p,T), one non-linear system of equations occurs that
cannot be avoided.
</p>
<p>
The test model above can be used to test the most basic
properties. Of course, more tests should be performed.
</p>
</html>"));
end TestOfMedium;
end MediumDefinition;
class ReleaseNotes "Release notes"
extends Modelica.Icons.ReleaseNotes;
end ReleaseNotes;
class Contact "Contact"
extends Modelica.Icons.Contact;
end Contact;
end UsersGuide;
package Examples
"Demonstrate usage of property models"
extends Modelica.Icons.ExamplesPackage;
model SimpleLiquidWater "Example for Water.SimpleLiquidWater medium model"
extends Modelica.Icons.Example;
constant SI.PressureSlope pressureRate = 1e5/10;
parameter SI.Volume V=1 "Volume";
parameter SI.EnthalpyFlowRate H_flow_ext=1.e6
"Constant enthalpy flow rate into the volume";
package Medium = Water.ConstantPropertyLiquidWater (SpecificEnthalpy(max=
1e6)) "Medium model";
Medium.BaseProperties medium(T(start=300, fixed=true));
Medium.BaseProperties medium2;
Medium.ThermodynamicState state;
Real m_flow_ext2;
Real der_p;
Real der_T;
SI.Mass m(start=1.0);
SI.InternalEnergy U;
// Use type declarations from the Medium
Medium.MassFlowRate m_flow_ext;
Medium.DynamicViscosity eta=Medium.dynamicViscosity(state);
Medium.SpecificHeatCapacity cv=Medium.specificHeatCapacityCv(state);
equation
medium.p = 1.0e5;
m = medium.d*V;
U = m*medium.u;
// Mass balance
der(m) = m_flow_ext;
// Energy balance
der(U) = H_flow_ext;
// Smooth state
medium2.p = pressureRate*time;
medium2.T = 330;
m_flow_ext2 = time - 30;
state = Medium.setSmoothState(
m_flow_ext2,
medium.state,
medium2.state,
10);
der_p = der(state.p);
der_T = der(state.T);
end SimpleLiquidWater;
model IdealGasH2O "IdealGas H20 medium model"
extends Modelica.Icons.Example;
package Medium = IdealGases.SingleGases.H2O "Medium model";
Medium.ThermodynamicState state "Thermodynamic state record";
Medium.ThermodynamicState state2;
Medium.SpecificHeatCapacity cp=Medium.specificHeatCapacityCp(state);
Medium.SpecificHeatCapacity cv=Medium.specificHeatCapacityCv(state);
Medium.IsentropicExponent k=Medium.isentropicExponent(state);
Medium.SpecificEntropy s=Medium.specificEntropy(state);
// Medium.SpecificEntropy s2=Medium.specificEntropy(state2);
Medium.VelocityOfSound a=Medium.velocityOfSound(state);
Real beta=Medium.isobaricExpansionCoefficient(state);
Real gamma=Medium.isothermalCompressibility(state);
Medium.SpecificEnthalpy h_is=Medium.isentropicEnthalpyApproximation(2.0,
state);
Medium.ThermodynamicState smoothState;
Real m_flow_ext;
Real der_p;
Real der_T;
protected
parameter SI.AbsolutePressure p01 = 100000.0 "state.p at time 0";
parameter SI.PressureSlope pRate1 = 0 "state.p rate of change";
parameter SI.Temperature T01 = 200 "state.T at time 0";
parameter SI.TemperatureSlope Trate1 = 1000 "state.T rate of change";
parameter SI.AbsolutePressure p02 = 2.0e5 "state2.p at time 0";
parameter SI.PressureSlope pRate2 = 0 "state2.p rate of change";
parameter SI.Temperature T02 = 500 "state2.T at time 0";
parameter SI.TemperatureSlope Trate2 = 0 "state2.T rate of change";
equation
state.p = p01 + pRate1*time;
state.T = T01 + Trate1*time;
state2.p = p02 + pRate2*time;
state2.T = T02 + Trate2*time;
// s2 = s;
// Smooth state
m_flow_ext = time - 0.5;
smoothState = Medium.setSmoothState(
m_flow_ext,
state,
state2,
0.1);
der_p = der(smoothState.p);
der_T = der(smoothState.T);
end IdealGasH2O;
model WaterIF97 "WaterIF97 medium model"
extends Modelica.Icons.Example;
package Medium = Water.StandardWater "Medium model";
Medium.BaseProperties medium(
p(start=1.e5,
fixed=true,
stateSelect=StateSelect.prefer),
h(start=1.0e5,
fixed=true,
stateSelect=StateSelect.prefer),
T(start=275.0),
d(start=999.0));
SI.Volume V(start=0.1, fixed=true);
parameter SI.VolumeFlowRate dV=0.0
"Fixed time derivative of volume";
parameter Medium.MassFlowRate m_flow_ext=0
"Fixed mass flow rate into volume";
parameter Medium.EnthalpyFlowRate H_flow_ext=10000
"Fixed enthalpy flow rate into volume";
SI.Mass m "Mass of volume";
SI.InternalEnergy U "Internal energy of volume";
Medium.ThermodynamicState state2;
Medium.ThermodynamicState state;
Real m_flow_ext2;
Real der_p;
Real der_T;
equation
der(V) = dV;
m = medium.d*V;
U = m*medium.u;
// Mass balance
der(m) = m_flow_ext;
// Energy balance
der(U) = H_flow_ext;
// smooth states
m_flow_ext2 = time - 0.5;
state2 = Medium.setState_pT(1e5*(1 + time), 300 + 200*time);
state = Medium.setSmoothState(
m_flow_ext2,
medium.state,
state2,
0.05);
der_p = der(state.p);
der_T = der(state.T);
end WaterIF97;
model MixtureGases "Test gas mixtures"
extends Modelica.Icons.Example;
parameter SI.Volume V=1 "Fixed size of volume 1 and volume 2";
parameter SI.MassFlowRate m_flow_ext=0.01
"Fixed mass flow rate into volume 1 and into volume 2";
parameter SI.EnthalpyFlowRate H_flow_ext=5000
"Fixed enthalpy flow rate into volume 1 and into volume 2";
package Medium1 = Modelica.Media.IdealGases.MixtureGases.CombustionAir
"Medium model";
Medium1.BaseProperties medium1(
p(start=1.e5,
fixed=true,
stateSelect=StateSelect.prefer),
T(start=300,
fixed=true,
stateSelect=StateSelect.prefer),
X(start={0.8,0.2}));
SI.Mass m1(start=1.0) "Mass of volume 1";
SI.InternalEnergy U1;
Medium1.SpecificHeatCapacity cp1=Medium1.specificHeatCapacityCp(medium1.state);
Medium1.DynamicViscosity eta1=Medium1.dynamicViscosity(medium1.state);
Medium1.ThermalConductivity lambda1=Medium1.thermalConductivity(medium1.state);
package Medium2 = Modelica.Media.IdealGases.MixtureGases.SimpleNaturalGas
"Medium model";
Medium2.BaseProperties medium2(
p(start=1.e5,
fixed=true,
stateSelect=StateSelect.prefer),
T(start=300,
fixed=true,
stateSelect=StateSelect.prefer),
X(start={0.1,0.1,0.1,0.2,0.2,0.3}));
SI.Mass m2(start=1.0) "Mass of volume 2";
SI.InternalEnergy U2;
Medium2.SpecificHeatCapacity cp2=Medium2.specificHeatCapacityCp(medium2.state);
Medium2.DynamicViscosity eta2=Medium2.dynamicViscosity(medium2.state);
Medium2.ThermalConductivity lambda2=Medium2.thermalConductivity(medium2.state);
Medium2.ThermodynamicState state2=Medium2.setState_pTX(
1.005e5,
302,
{0.3,0.2,0.2,0.1,0.1,0.1});
Medium2.ThermodynamicState smoothState;
Real m_flow_ext2;
Real der_p;
Real der_T;
equation
medium1.X = {0.8,0.2};
m1 = medium1.d*V;
U1 = m1*medium1.u;
der(m1) = m_flow_ext;
der(U1) = H_flow_ext;
medium2.X = {0.1,0.1,0.1,0.2,0.2,0.3};
m2 = medium2.d*V;
U2 = m2*medium2.u;
der(m2) = m_flow_ext;
der(U2) = H_flow_ext;
// Smooth state
m_flow_ext2 = time - 0.5;
smoothState = Medium2.setSmoothState(
m_flow_ext2,
medium2.state,
state2,
0.2);
der_p = der(smoothState.p);
der_T = der(smoothState.T);
end MixtureGases;
model MoistAir "Example for moist air"
extends Modelica.Icons.Example;
package Medium = Air.MoistAir "Medium model";
Medium.BaseProperties medium(
T(start=274.0, fixed=true),
X(start={0.95,0.05}),
p(start=1.0e5, fixed=true));
// Medium.SpecificEntropy s=Medium.specificEntropy(medium);
// Medium.SpecificEnthalpy h_is = Medium.isentropicEnthalpyApproximation(medium, 2.0e5);
parameter Medium.MolarMass[2] MMx={Medium.dryair.MM,Medium.steam.MM}
"Vector of molar masses (consisting of dry air and of steam)";
Medium.MolarMass MM=1/((1 - medium.X[1])/MMx[1] + medium.X[1]/MMx[2])
"Molar mass of gas part of mixture";
// Real[4] dddX=Medium.density_derX(medium,MM);
Medium.ThermodynamicState state1;
Medium.ThermodynamicState state2;
Medium.ThermodynamicState smoothState;
Real m_flow_ext;
Real der_p;
Real der_T;
protected
constant SI.Time unitTime=1;
parameter SI.AbsolutePressure p01 = 1.e5 "state1.p at time 0";
parameter SI.PressureSlope pRate1 = 1.e5 "state1.p rate of change";
parameter SI.Temperature T01 = 300 "state1.T at time 0";
parameter SI.TemperatureSlope Trate1 = 10 "state1.T rate of change";
parameter SI.AbsolutePressure p02 = 1.e5 "state2.p at time 0";
parameter SI.PressureSlope pRate2 = 1.e5/2 "state2.p rate of change";
parameter SI.Temperature T02 = 340 "state2.T at time 0";
parameter SI.TemperatureSlope Trate2 = -20 "state2.T rate of change";
equation
der(medium.p) = 0.0;
der(medium.T) = 90;
medium.X[Medium.Air] = 0.95;
// medium.X[Medium.Water] = 0.05;
// one simple assumption only for quick testing:
// medium.X_liquidWater = if medium.X_sat < medium.X[2] then medium.X[2] - medium.X_sat else 0.0;
// Smooth state
m_flow_ext = time/unitTime - 0.5;
state1.p = p01 + pRate1*time;
state1.T = T01 + Trate1*time;
state1.X = {time,1 - time}/unitTime;
state2.p = p02 + pRate2*time;
state2.T = T02 + Trate2*time;
state2.X = {0.5*time,1 - 0.5*time}/unitTime;
smoothState = Medium.setSmoothState(
m_flow_ext,
state1,
state2,
0.2);
der_p = der(smoothState.p);
der_T = der(smoothState.T);
end MoistAir;
model PsychrometricData "Produces plot data for psychrometric charts"
extends Modelica.Icons.Example;
package Medium = Modelica.Media.Air.MoistAir "Used medium package";
parameter SI.Pressure p_const=1e5 "Pressure";
parameter Integer n_T=11 "Number of isotherms";
parameter SI.Temperature T_min=253.15 "Lowest isotherm";
parameter SI.Temperature T_step=10
"Temperature step between two isotherms";
parameter Integer n_h=16 "Number of lines with constant specific enthalpy";
parameter SI.SpecificEnthalpy h_min=-20e3
"Lowest line of constant enthalpy";
parameter SI.SpecificEnthalpy h_step=1e4
"Enthalpy step between two lines of constant enthalpy";
parameter Integer n_phi=10
"Number of lines with constant relative humidity";
parameter Real phi_min=0.1 "Lowest line of constant humidity";
parameter Real phi_step=0.1 "Step between two lines of constant humidity";
parameter SI.MassFraction x_min=0.00
"Minimum diagram absolute humidity";
parameter SI.MassFraction x_max=0.03
"Maximum diagram absolute humidity";
parameter SI.Time t=1 "Simulation time";
final parameter SI.Temperature[n_T] T_const={T_min - T_step + i*
T_step for i in 1:n_T} "Constant temperatures";
final parameter SI.SpecificEnthalpy[n_h] h_const={(i - 1)*h_step +
h_min for i in 1:n_h} "Constant enthalpies";
final parameter Real[n_phi] phi_const={(i - 1)*phi_step + phi_min for i in
1:n_phi} "Constant relative humidities";
final parameter Real diagSlope=Medium.enthalpyOfVaporization(273.15)
"Rotation of diagram that zero degrees isotherm becomes horizontal outside the fog region";
final parameter SI.MassFraction x_start=x_min
"Initial absolute humidity in kg water/kg dry air";
SI.MassFraction x(start=x_start)
"Absolute humidity in kg water/kg dry air";
SI.SpecificEnthalpy[n_T] hx_T "h_1+x for constant T";
SI.SpecificEnthalpy[n_h] hx_h(start=h_const, each fixed=true)
"Constanst h_1+x";
SI.SpecificEnthalpy[n_phi] hx_phi "h_1+x for constanst phi";
SI.SpecificEnthalpy[n_T] y_T "Chart enthalpy for constant T";
SI.SpecificEnthalpy[n_h] y_h "Chart enthalpy for constant h";
SI.SpecificEnthalpy[n_phi] y_phi "Chart enthalpy for constant phi";
Medium.BaseProperties[n_T] medium_T "Medium properties for constant T";
Medium.BaseProperties[n_phi] medium_phi "Medium properties for constant phi";
protected
SI.Pressure[n_phi] ps_phi "Saturation pressure for constant-phi-lines";
SI.Temperature[n_phi] T_phi(each start=290);
Boolean[n_T] fog(start=fill(false, n_T))
"Triggers events at intersection of isotherms with phi=1";
SI.Pressure[n_T] pd "Steam partial pressure along isotherms";
initial equation
x = x_min;
equation
der(x) = (x_max - x_min)/t;
for i in 1:n_T loop
medium_T[i].T = T_const[i];
medium_T[i].p = p_const;
medium_T[i].Xi = {x/(1 + x)};
hx_T[i] = medium_T[i].h*(medium_T[i].x_water + 1);
y_T[i] = hx_T[i] - diagSlope*x;
//trigger events
pd[i] = medium_T[i].Xi[1]*medium_T[i].MM/Medium.MMX[1]*p_const;
fog[i] = pd[i] >= Medium.saturationPressure(T_const[i]);
end for;
for i in 1:n_h loop
der(hx_h[i]) = 0.0;
y_h[i] = hx_h[i] - diagSlope*x;
end for;
for i in 1:n_phi loop
medium_phi[i].p = p_const;
ps_phi[i] = p_const*x/phi_const[i]/(Medium.k_mair + x);
T_phi[i] = if x < 5e-6 then 200 else Medium.saturationTemperature(
ps_phi[i]);
medium_phi[i].T = T_phi[i];
medium_phi[i].Xi = {x/(1 + x)};
hx_phi[i] = medium_phi[i].h*(medium_phi[i].x_water + 1);
y_phi[i] = hx_phi[i] - diagSlope*x;
end for;
end PsychrometricData;
package TwoPhaseWater "Extension of the StandardWater package"
extends Modelica.Media.Water.StandardWater;
redeclare model extends BaseProperties
"Make StandardWater.BaseProperties non replaceable in order that inheritance is possible in model ExtendedProperties"
end BaseProperties;
model ExtendedProperties "Plenty of two-phase properties"
extends BaseProperties;
ThermodynamicState dew "Dew line Properties";
ThermodynamicState bubble "Bubble line Properties";
ThermodynamicState bubble2 "Bubble line Properties, on the 2-phase side";
DynamicViscosity eta "Viscosity (McAdams mixture rules if in 2-phase)";
DynamicViscosity eta_d "Dew line viscosity";
DynamicViscosity eta_b "Bubble line viscosity";
ThermalConductivity lambda_d "Dew line thermal conductivity";
ThermalConductivity lambda_b "Bubble line thermal conductivity";
SpecificHeatCapacity cp_d "Dew line Specific heat capacity";
SpecificHeatCapacity cp_b "Bubble line Specific heat capacity";
Real ddhp;
Real ddhp_d;
Real ddhp_b "Derivatives";
Real ddph;
Real ddph_d;
Real ddph_b "Derivatives";
Real ddhp_b2;
Real ddph_b2 "Derivatives";
// no derivatives yet, ... sat should be temporary
MassFraction x "Steam mass fraction";
Real dTp;
Real dTp2;
SpecificEntropy s_b;
SpecificEntropy s_d;
equation
eta = if phase == 1 then dynamicViscosity(state) else 1/(x/eta_d + (1 - x)
/eta_b);
dew = setDewState(sat);
bubble = setBubbleState(sat);
bubble2 = setBubbleState(sat, 2);
x = (h - bubble.h)/max(dew.h - bubble.h, 1e-6);
eta_d = dynamicViscosity(dew);
eta_b = dynamicViscosity(bubble);
lambda_d = thermalConductivity(dew);
lambda_b = thermalConductivity(bubble);
cp_d = specificHeatCapacityCp(dew);
cp_b = specificHeatCapacityCp(bubble);
s_d = specificEntropy(dew);
s_b = specificEntropy(bubble);
ddph = density_derp_h(state);
ddph_d = density_derp_h(dew);
ddph_b = density_derp_h(bubble);
ddhp = density_derh_p(state);
ddhp_d = density_derh_p(dew);
ddhp_b = density_derh_p(bubble);
ddhp_b2 = density_derh_p(bubble2);
ddph_b2 = density_derp_h(bubble2);
dTp = saturationTemperature_derp(p);
dTp2 = (1/dew.d - 1/bubble.d)/max(s_d - s_b, 1e-6);
end ExtendedProperties;
model TestTwoPhaseStates "Test the TwoPhaseWater model"
extends Modelica.Icons.Example;
ExtendedProperties medium(p(start=2000.0, fixed=true), h(start=8.0e5,
fixed=true));
parameter Real dh(unit="J/(kg.s)", displayUnit="kJ/(kg.s)") = 80000.0 "Derivative of specific enthalpy of medium";
parameter SI.PressureSlope dp = 1.0e6 "Derivative of pressure of medium";
equation
der(medium.p) = dp;
der(medium.h) = dh;
end TestTwoPhaseStates;\">DynamicViscosity
eta</span>\".</li>
<li>Compute that variable by calling the function form the package,
e.g., <span style=\"color: rgb(51, 51, 255);\">eta =
dynamicViscosity(state)</span>. Note that the instance of
ThermodynamicState is used as an input to the function. This instance
\"state\" is declared in PartialMedium and thus available in every medium
model. A user does not have to know what actual variables are required
to compute the dynamic viscosity, because the state instance is
guaranteed to contain what is needed.</li>
<li><span style=\"color: rgb(255, 0, 0);\">Attention</span>: Many
properties are not well defined in the two phase region and the
functions might return undesired values if called there. It is the
user's responsibility to take care of such situations. The example
uses one of several possible models to compute an averaged viscosity
for two-phase flows.</li>
</ol>
In two phase models, properties are often needed on the phase boundary
just outside the two phase dome, right on the border.. To compute the
thermodynamic state there, two auxiliary functions are provided: <strong>setDewState(sat)</strong> and <strong>setBubbleState(sat)</strong>. They take an
instance of SaturationProperties as input. By default they are in
one-phase, but with the optional phase argument set to 2, the output is
forced to be just inside the phase boundary. This is only needed when
derivatives like cv are computed with are different on both sides of
the boundaries. The usual steps to compute properties on the phase
boundary are:<br>
<ol>
<li>Declare an instance of ThermodynamicState, e.g., \"ThermodynamicState dew\".</li>
<li>Compute the state, using an instance of SaturationProperties,
e.g., dew = setDewState(sat)</li>
<li>Compute properties on the phase boundary to your full desire,
e.g., \"cp_d = specificHeatCapacityCp(dew)\".<br>
</li>
</ol>
<p>The sample model TestTwoPhaseStates test the extended properties</p>
<p>
The same procedure can be used to compute properties at other state
points, e.g., when an isentropic reference state is computed.
</p>
</html>"));
end TwoPhaseWater;
package ReferenceAir
"Examples for detailed dry air and moist air medium models"
extends Modelica.Icons.ExamplesPackage;
model DryAir1 "Example 1 for dry air"
extends Modelica.Icons.Example;
extends Modelica.Media.Examples.Utilities.PartialTestModel(
redeclare package Medium = Modelica.Media.Air.ReferenceAir.Air_pT);
end DryAir1;
model DryAir2 "Example 2 for dry air"
extends Modelica.Icons.Example;
extends Modelica.Media.Examples.Utilities.PartialTestModel2(
redeclare package Medium = Modelica.Media.Air.ReferenceAir.Air_pT);
end DryAir2;
model MoistAir "Example for moist air"
extends Modelica.Icons.Example;
parameter SI.Temperature T_start=274
"Initial guess value for temperature";
parameter SI.Pressure p_start=1e5
"Initial guess value for pressure";
package Medium = Modelica.Media.Air.ReferenceMoistAir "Medium model";
Medium.BaseProperties medium(
T(start=T_start, fixed=true),
X(start={0.95,0.05}),
p(start=p_start, fixed=true));
parameter Medium.MolarMass[2] MMx={Medium.dryair.MM,Medium.steam.MM}
"Vector of molar masses (consisting of dry air and of steam)";
Medium.MolarMass MM=1/((1 - medium.X[1])/MMx[1] + medium.X[1]/MMx[2])
"Molar mass of gas part of mixture";
Medium.ThermodynamicState state1;
Medium.ThermodynamicState state2;
Medium.ThermodynamicState smoothState(T(start=T_start), p(start=p_start));
Real m_flow_ext;
Real der_p;
Real der_T;
protected
constant SI.Time unitTime=1;
parameter SI.AbsolutePressure p01 = 1.e5 "state1.p at time 0";
parameter SI.PressureSlope pRate1 = 1.e5 "state1.p rate of change";
parameter SI.Temperature T01 = 300 "state1.T at time 0";
parameter SI.TemperatureSlope Trate1 = 10 "state1.T rate of change";
parameter SI.AbsolutePressure p02 = 1.e5 "state2.p at time 0";
parameter SI.PressureSlope pRate2 = 1.e5/2 "state2.p rate of change";
parameter SI.Temperature T02 = 340 "state2.T at time 0";
parameter SI.TemperatureSlope Trate2 = -20 "state2.T rate of change";
equation
der(medium.p) = 0.0;
der(medium.T) = 90;
medium.X[Medium.Air] = 0.95;
m_flow_ext = time - 0.5;
state1.p = p01 + pRate1*time;
state1.T = T01 + Trate1*time;
state1.X = {time,1 - time}/unitTime;
state2.p = p02 + pRate2*time;
state2.T = T02 + Trate2*time;
state2.X = {0.5*time,1 - 0.5*time}/unitTime;
smoothState = Medium.setSmoothState(
m_flow_ext,
state1,
state2,
0.2);
der_p = der(smoothState.p);
der_T = der(smoothState.T);
end MoistAir;
model MoistAir1 "Example 1 for moist air"
extends Modelica.Icons.Example;
extends Modelica.Media.Examples.Utilities.PartialTestModel(
redeclare package Medium = Modelica.Media.Air.ReferenceMoistAir);
end MoistAir1;
model MoistAir2 "Example 2 for moist air"
extends Modelica.Icons.Example;
extends Modelica.Media.Examples.Utilities.PartialTestModel2(
redeclare package Medium = Modelica.Media.Air.ReferenceMoistAir);
end MoistAir2;
model Inverse_sh_T
"Solve h = h_pT(p, T), s = s_pT(p, T) for T, if h or s is given"
extends Modelica.Icons.Example;
import Medium = Modelica.Media.Air.ReferenceAir.Air_pT "Medium model";
parameter SI.Temperature T_min=300
"Vary temperature linearly from T_min (time=0) up to T_max (time=1)";
parameter SI.Temperature T_max=500
"Vary temperature linearly from T_min (time=0) up to T_max (time=1)";
parameter SI.Pressure p=1.0e5 "Fixed pressure in model";
final parameter SI.SpecificEnthalpy h_min=
Medium.specificEnthalpy(Medium.setState_pT(p, T_min))
"Specific enthalpy at T_min";
final parameter SI.SpecificEnthalpy h_max=
Medium.specificEnthalpy(Medium.setState_pT(p, T_max))
"Specific enthalpy at T_max";
final parameter SI.SpecificEntropy s_min=
Medium.specificEntropy(Medium.setState_pT(p, T_min))
"Specific entropy at T_min";
final parameter SI.SpecificEntropy s_max=
Medium.specificEntropy(Medium.setState_pT(p, T_max))
"Specific entropy at T_max";
SI.SpecificEnthalpy h1 "Pre-defined specific enthalpy";
SI.SpecificEnthalpy h2
"Specific enthalpy computed from T (= h1 required)";
SI.SpecificEntropy s1 "Pre-defined specific entropy";
SI.SpecificEntropy s2
"Specific entropy computed from T (= h1 required)";
SI.Temperature Th "Temperature computed from h1";
SI.Temperature Ts "Temperature computed from s1";
protected
constant SI.Time timeUnit=1.0;
equation
// Define specific enthalpy and specific entropy
h1 = if time < 0 then h_min else if time >= 1 then h_max else h_min + time
/timeUnit*(h_max - h_min);
s1 = if time < 0 then s_min else if time >= 1 then s_max else s_min + time
/timeUnit*(s_max - s_min);
// Solve for temperature
Th = Medium.temperature_phX(
p,
h1,
fill(0.0, 0));
Ts = Medium.temperature_psX(
p,
s1,
fill(0.0, 0));
// Check (h2 must be identical to h1)
h2 = Medium.specificEnthalpy_pTX(
p,
Th,
fill(0.0, 0));
s2 = Medium.specificEntropy_pTX(
p,
Ts,
fill(0.0, 0));
assert(abs(h1 - h2) < 1e-3, "Inverse for h not correctly computed");
assert(abs(s1 - s2) < 1e-3, "Inverse for s not correctly computed");
end Inverse_sh_T;
model Inverse_sh_TX
"Solve h = h_pTX(p, T, X), s = s_pTX(p, T, X) for T, if h or s is given"
extends Modelica.Icons.Example;
import Medium = Modelica.Media.Air.ReferenceMoistAir "Medium model";
parameter SI.Temperature T_min=300
"Vary temperature linearly from T_min (time=0) up to T_max (time=1)";
parameter SI.Temperature T_max=500
"Vary temperature linearly from T_min (time=0) up to T_max (time=1)";
parameter SI.Pressure p=1.0e5 "Fixed pressure in model";
parameter SI.MassFraction[:] X=Modelica.Media.Air.ReferenceMoistAir.reference_X
"Mass fraction vector";
final parameter SI.SpecificEnthalpy h_min=
Modelica.Media.Air.ReferenceMoistAir.specificEnthalpy(
Modelica.Media.Air.ReferenceMoistAir.setState_pTX(
p,
T_min,
X)) "Specific enthalpy at T_min";
final parameter SI.SpecificEnthalpy h_max=
Modelica.Media.Air.ReferenceMoistAir.specificEnthalpy(
Modelica.Media.Air.ReferenceMoistAir.setState_pTX(
p,
T_max,
X)) "Specific enthalpy at T_max";
final parameter SI.SpecificEntropy s_min=
Modelica.Media.Air.ReferenceMoistAir.specificEntropy(
Modelica.Media.Air.ReferenceMoistAir.setState_pTX(
p,
T_min,
X)) "Specific entropy at T_min";
final parameter SI.SpecificEntropy s_max=
Modelica.Media.Air.ReferenceMoistAir.specificEntropy(
Modelica.Media.Air.ReferenceMoistAir.setState_pTX(
p,
T_max,
X)) "Specific entropy at T_max";
SI.SpecificEnthalpy h1 "Pre-defined specific enthalpy";
SI.SpecificEnthalpy h2
"Specific enthalpy computed from T (= h1 required)";
SI.SpecificEntropy s1 "Pre-defined specific entropy";
SI.SpecificEntropy s2
"Specific entropy computed from T (= h1 required)";
SI.Temperature Th "Temperature computed from h1";
SI.Temperature Ts "Temperature computed from s1";
protected
constant SI.Time timeUnit=1.0;
equation
// Define specific enthalpy
h1 = if time < 0 then h_min else if time >= 1 then h_max else h_min + time
/timeUnit*(h_max - h_min);
s1 = if time < 0 then s_min else if time >= 1 then s_max else s_min + time
/timeUnit*(s_max - s_min);
// Solve for temperature
Th = Medium.temperature_phX(
p,
h1,
X);
Ts = Medium.temperature_psX(
p,
s1,
X);
// Check (h2 must be identical to h1)
h2 = Medium.specificEnthalpy_pTX(
p,
Th,
X);
s2 = Medium.specificEntropy_pTX(
p,
Ts,
X);
assert(abs(h1 - h2) < 1e-3, "Inverse for h not correctly computed");
assert(abs(s1 - s2) < 1e-3, "Inverse for s not correctly computed");
end Inverse_sh_TX;
end ReferenceAir;
package R134a "Examples for R134a"
extends Modelica.Icons.ExamplesPackage;
model R134a1 "Example 1 for R134a"
extends Modelica.Icons.Example;
extends Modelica.Media.Examples.Utilities.PartialTestModel(
redeclare package Medium = Modelica.Media.R134a.R134a_ph,
h_start=107390,
fixedMassFlowRate(use_T_ambient=false),
volume(use_T_start=false),
ambient(use_T_ambient=false));
end R134a1;
model R134a2 "Example 2 for R134a"
extends Modelica.Icons.Example;
extends Modelica.Media.Examples.Utilities.PartialTestModel2(
redeclare package Medium = Modelica.Media.R134a.R134a_ph,
h_start=107390,
fixedMassFlowRate(use_T_ambient=false),
volume(use_T_start=false),
ambient(use_T_ambient=false));
end R134a2;
end R134a;
package SolveOneNonlinearEquation
"Demonstrate how to solve one non-linear algebraic equation in one unknown"
extends Modelica.Icons.ExamplesPackage;
model Inverse_sine "Solve y = A*sin(w*x) for x, given y"
import Modelica.Utilities.Streams.print;
extends Modelica.Icons.Example;
parameter Real y_zero=0.5 "Desired value of A*sin(w*x)";
parameter Real x_min=-1.7 "Minimum value of x_zero";
parameter Real x_max=1.7 "Maximum value of x_zero";
parameter Real A=1 "Amplitude of sine";
parameter Real w=1 "Angular frequency of sine";
Real x_zero "y_zero = A*sin(w*x_zero)";
function f_nonlinear "Define sine as non-linear equation to be solved"
extends Modelica.Math.Nonlinear.Interfaces.partialScalarFunction;
input Real A=1 "Amplitude of sine";
input Real w=1 "Angular frequency of sine";
input Real s=0 "Shift of sine";
algorithm
y := A*Modelica.Math.sin(w*u) + s;
end f_nonlinear;
equation
x_zero = Modelica.Math.Nonlinear.solveOneNonlinearEquation(
function f_nonlinear(A=A, w=w, s=-y_zero), x_min, x_max);
print("x_zero = " + String(x_zero) + ", y_zero = " + String(y_zero) +
", A*sin(w*x_zero) = " + String(A*Modelica.Math.sin(w*x_zero))); -> determine x for given y
</pre></blockquote>
<p>
Translate model \"Inverse_sine\"
and simulate for 0 sec. The result is printed to the
output window.
</p>
</html>"));
end Inverse_sine;
model Inverse_sh_T
"Solve h = h_T(T), s = s_T(T) for T, if h or s is given for ideal gas NASA"
extends Modelica.Icons.Example;
replaceable package Medium = Modelica.Media.Air.DryAirNasa constrainedby Modelica.Media.IdealGases.Common.SingleGasNasa
"Medium model"
parameter SI.Temperature T_min=300
"Vary temperature linearly from T_min (time=0) up to T_max (time=1)";
parameter SI.Temperature T_max=500
"Vary temperature linearly from T_min (time=0) up to T_max (time=1)";
parameter SI.Pressure p=1.0e5 "Fixed pressure in model";
final parameter SI.SpecificEnthalpy h_min=Medium.specificEnthalpy(
Medium.setState_pT(p, T_min)) "Specific enthalpy at T_min";
final parameter SI.SpecificEnthalpy h_max=Medium.specificEnthalpy(
Medium.setState_pT(p, T_max)) "Specific enthalpy at T_max";
final parameter SI.SpecificEntropy s_min=Medium.specificEntropy(
Medium.setState_pT(p, T_min)) "Specific entropy at T_min";
final parameter SI.SpecificEntropy s_max=Medium.specificEntropy(
Medium.setState_pT(p, T_max)) "Specific entropy at T_max";
SI.SpecificEnthalpy h1(start=h_min, fixed=true)
"Pre-defined specific enthalpy";
SI.SpecificEnthalpy h2
"Specific enthalpy computed from Th (= h1 required)";
SI.SpecificEntropy s1(start=s_min, fixed=true)
"Pre-defined specific entropy";
SI.SpecificEntropy s2 "Specific entropy computed from Ts (= s1 required)";
SI.Temperature Th "Temperature computed from h1";
SI.Temperature Ts "Temperature computed from s1";
protected
constant SI.Time timeUnit=1.0;
equation
// Define specific enthalpy and specific entropy
der(h1) = if time < 1.0 then 1/timeUnit*(h_max - h_min) else 0.0;
der(s1) = if time < 1.0 then 1/timeUnit*(s_max - s_min) else 0.0;
// Solve for temperatures
Th = Medium.temperature_phX(p, h1, fill(0.0, 0));
Ts = Medium.temperature_psX(p, s1, fill(0.0, 0));
// Check (h2 must be identical to h1, s2 must be identical to s1)
h2 = Medium.specificEnthalpy_pTX(p, Th, fill(0.0, 0));
s2 = Medium.specificEntropy(Medium.setState_pT(p, Ts));
end Inverse_sh_T;
model InverseIncompressible_sh_T
"Inverse computation for incompressible media"
extends Modelica.Icons.Example;
replaceable package Medium =
Modelica.Media.Incompressible.Examples.Glycol47 "Medium model"
parameter SI.Temperature T_min=Medium.T_min
"Vary temperature linearly from T_min (time=0) up to T_max (time=1)";
parameter SI.Temperature T_max=Medium.T_max
"Vary temperature linearly from T_min (time=0) up to T_max (time=1)";
parameter SI.Pressure p=1.0e5 "Fixed pressure in model";
final parameter SI.SpecificEnthalpy h_min=Medium.h_T(Medium.T_min)
"Specific enthalpy at T_min";
final parameter SI.SpecificEnthalpy h_max=Medium.h_T(Medium.T_max)
"Specific enthalpy at T_max";
final parameter SI.SpecificEntropy s_min=Medium.specificEntropy(
Medium.setState_pT(p, T_min)) "Specific entropy at T_min";
final parameter SI.SpecificEntropy s_max=Medium.specificEntropy(
Medium.setState_pT(p, T_max)) "Specific entropy at T_max";
SI.SpecificEnthalpy h1(start=h_min, fixed=true)
"Pre-defined specific enthalpy";
SI.SpecificEnthalpy h2
"Specific enthalpy computed from Th (= h1 required)";
SI.SpecificEntropy s1(start=s_min, fixed=true)
"Pre-defined specific entropy";
SI.SpecificEntropy s2 "Specific entropy computed from Ts (= s1 required)";
SI.Temperature Th "Temperature computed from h1";
SI.Temperature Ts "Temperature computed from s1";
protected
constant SI.Time timeUnit=1.0;
equation
// Define specific enthalpy and specific entropy
der(h1) = if time < 1.0 then 1/timeUnit*(h_max - h_min) else 0.0;
der(s1) = if time < 1.0 then 1/timeUnit*(s_max - s_min) else 0.0;
// Solve for temperatures
Th = Medium.temperature_phX(p, h1, fill(0.0, 0));
Ts = Medium.temperature_psX(p, s1, fill(0.0, 0));
// Check (h2 must be identical to h1, s2 must be identical to s1)
h2 = Medium.specificEnthalpy_pTX(p, Th, fill(0.0, 0));
s2 = Medium.specificEntropy(Medium.setState_pT(p, Ts));
end InverseIncompressible_sh_T;
model Inverse_sh_TX
"Solve h = h_TX(TX) for T, if h is given for ideal gas NASA"
extends Modelica.Icons.Example;
replaceable package Medium =
Modelica.Media.IdealGases.MixtureGases.FlueGasLambdaOnePlus
constrainedby Modelica.Media.IdealGases.Common.MixtureGasNasa
"Medium model"
parameter SI.Temperature T_min=300
"Vary temperature linearly from T_min (time=0) up to T_max (time=1)";
parameter SI.Temperature T_max=500
"Vary temperature linearly from T_min (time=0) up to T_max (time=1)";
parameter SI.Pressure p=1.0e5 "Fixed pressure in model";
final parameter SI.SpecificEnthalpy h_min=Medium.h_TX(T_min, X)
"Specific enthalpy at T_min";
final parameter SI.SpecificEnthalpy h_max=Medium.h_TX(T_max, X)
"Specific enthalpy at T_max";
final parameter SI.SpecificEntropy s_min=Medium.specificEntropy(
Medium.setState_pTX(p, T_min, Medium.reference_X)) "Specific entropy at T_min";
final parameter SI.SpecificEntropy s_max=Medium.specificEntropy(
Medium.setState_pTX(p, T_max, Medium.reference_X)) "Specific entropy at T_max";
SI.SpecificEnthalpy h1(start=h_min, fixed=true)
"Pre-defined specific enthalpy";
SI.SpecificEnthalpy h2
"Specific enthalpy computed from Th (= h1 required)";
SI.SpecificEntropy s1(start=s_min, fixed=true)
"Pre-defined specific entropy";
SI.SpecificEntropy s2 "Specific entropy computed from Ts (= s1 required)";
SI.Temperature Th "Temperature computed from h1";
SI.Temperature Ts "Temperature computed from s1";
parameter SI.MassFraction[4] X=Medium.reference_X "Mass fraction vector";
protected
constant SI.Time timeUnit=1.0;
equation
// Define specific enthalpy and specific entropy
der(h1) = if time < 1.0 then 1/timeUnit*(h_max - h_min) else 0.0;
der(s1) = if time < 1.0 then 1/timeUnit*(s_max - s_min) else 0.0;
// Solve for temperatures
Th = Medium.temperature_phX(p, h1, X);
Ts = Medium.temperature_psX(p, s1, X);
// Check (h2 must be identical to h1, s2 must be identical to s1)
h2 = Medium.specificEnthalpy_pTX(p, Th, X);
s2 = Medium.specificEntropy(Medium.setState_pTX(p, Ts, X));
end Inverse_sh_TX;
end SolveOneNonlinearEquation;
package Utilities
"Functions, connectors and models needed for the media model tests"
extends Modelica.Icons.UtilitiesPackage;
connector FluidPort
"Interface for quasi one-dimensional fluid flow in a piping network (incompressible or compressible, one or more phases, one or more substances)"
replaceable package Medium = Modelica.Media.Interfaces.PartialMedium
"Medium model"
Medium.AbsolutePressure p "Pressure in the connection point";
flow Medium.MassFlowRate m_flow
"Mass flow rate from the connection point into the component";
Medium.SpecificEnthalpy h
"Specific mixture enthalpy in the connection point";
flow Medium.EnthalpyFlowRate H_flow
"Enthalpy flow rate into the component (if m_flow > 0, H_flow = m_flow*h)";
Medium.MassFraction Xi[Medium.nXi]
"Independent mixture mass fractions m_i/m in the connection point";
flow Medium.MassFlowRate mXi_flow[Medium.nXi]
"Mass flow rates of the independent substances from the connection point into the component (if m_flow > 0, mX_flow = m_flow*X)";
Medium.ExtraProperty C[Medium.nC]
"Properties c_i/m in the connection point";
flow Medium.ExtraPropertyFlowRate mC_flow[Medium.nC]
"Flow rates of auxiliary properties from the connection point into the component (if m_flow > 0, mC_flow = m_flow*C)";
end FluidPort;
connector FluidPort_a "Fluid connector with filled icon"
extends FluidPort;
end FluidPort_a;
connector FluidPort_b "Fluid connector with outlined icon"
extends FluidPort;
end FluidPort_b;
model PortVolume
"Fixed volume associated with a port by the finite volume method"
replaceable package Medium = Modelica.Media.Interfaces.PartialMedium
"Medium model"
parameter SI.Volume V=1e-6 "Fixed size of junction volume";
parameter Boolean use_p_start=true "Select p_start or d_start"
parameter Medium.AbsolutePressure p_start=101325 "Initial pressure"
parameter Medium.Density d_start=1 "Initial density"
parameter Boolean use_T_start=true "Select T_start or h_start"
parameter Medium.Temperature T_start=
Modelica.Units.Conversions.from_degC(20) "Initial temperature"
parameter Medium.SpecificEnthalpy h_start=1.e4
"Initial specific enthalpy"
parameter Medium.MassFraction X_start[Medium.nX]
"Initial mass fractions m_i/m"
FluidPort_a port(redeclare package Medium = Medium)
Medium.BaseProperties medium(preferredMediumStates=true);
SI.Energy U "Internal energy of port volume";
SI.Mass m "Mass of junction volume";
SI.Mass mXi[Medium.nXi]
"Independent substance masses of junction volume";
initial equation
if not Medium.singleState then
if use_p_start then
medium.p = p_start;
else
medium.d = d_start;
end if;
end if;
if use_T_start then
medium.T = T_start;
else
medium.h = h_start;
end if;
medium.Xi = X_start[1:Medium.nXi];
equation
// Connect port to medium variables
medium.p = port.p;
medium.h = port.h;
medium.Xi = port.Xi;
// Total quantities
m = V*medium.d;
mXi = m*medium.Xi;
U = m*medium.u;
// Mass and energy balance
der(m) = port.m_flow;
der(mXi) = port.mXi_flow;
der(U) = port.H_flow;
end PortVolume;
model FixedMassFlowRate
"Ideal pump that produces a constant mass flow rate from a large reservoir at fixed temperature and mass fraction"
parameter Medium.MassFlowRate m_flow
"Fixed mass flow rate from an infinite reservoir to the fluid port";
parameter Boolean use_T_ambient=true "Select T_ambient or h_ambient"
parameter Medium.Temperature T_ambient=
Modelica.Units.Conversions.from_degC(20) "Ambient temperature"
parameter Medium.SpecificEnthalpy h_ambient=1.e4
"Ambient specific enthalpy"
parameter Medium.MassFraction X_ambient[Medium.nX]
"Ambient mass fractions m_i/m of reservoir";
replaceable package Medium = Modelica.Media.Interfaces.PartialMedium
"Medium model"
Medium.BaseProperties medium "Medium in the source";
FluidPort_b port(redeclare package Medium = Medium)
equation
if use_T_ambient then
medium.T = T_ambient;
else
medium.h = h_ambient;
end if;
medium.Xi = X_ambient[1:Medium.nXi];
medium.p = port.p;
port.m_flow = -m_flow;
port.mXi_flow = semiLinear(
port.m_flow,
port.Xi,
medium.Xi);
port.H_flow = semiLinear(
port.m_flow,
port.h,
medium.h);
end FixedMassFlowRate;
model FixedAmbient
"Ambient pressure, temperature and mass fraction source"
replaceable package Medium = Modelica.Media.Interfaces.PartialMedium
"Medium model"
parameter Boolean use_p_ambient=true "Select p_ambient or d_ambient"
parameter Medium.AbsolutePressure p_ambient=101325 "Ambient pressure"
parameter Medium.Density d_ambient=1 "Ambient density"
parameter Boolean use_T_ambient=true "Select T_ambient or h_ambient"
parameter Medium.Temperature T_ambient=
Modelica.Units.Conversions.from_degC(20) "Ambient temperature"
parameter Medium.SpecificEnthalpy h_ambient=1.e4
"Ambient specific enthalpy"
parameter Medium.MassFraction X_ambient[Medium.nX]
"Ambient mass fractions m_i/m"
Medium.BaseProperties medium "Medium in the source";
FluidPort_b port(redeclare package Medium = Medium)
equation
if use_p_ambient or Medium.singleState then
medium.p = p_ambient;
else
medium.d = d_ambient;
end if;
if use_T_ambient then
medium.T = T_ambient;
else
medium.h = h_ambient;
end if;
medium.Xi = X_ambient[1:Medium.nXi];
port.p = medium.p;
port.H_flow = semiLinear(
port.m_flow,
port.h,
medium.h);
port.mXi_flow = semiLinear(
port.m_flow,
port.Xi,
medium.Xi);
end FixedAmbient;
model ShortPipe "Simple pressure loss in pipe"
replaceable package Medium = Modelica.Media.Interfaces.PartialMedium
"Medium model"
parameter Medium.AbsolutePressure dp_nominal(min=1e-10)
"Nominal pressure drop";
parameter Medium.MassFlowRate m_flow_nominal(min=1e-10)
"Nominal mass flow rate at nominal pressure drop";
FluidPort_a port_a(redeclare package Medium = Medium)
FluidPort_b port_b(redeclare package Medium = Medium)
// Medium.BaseProperties medium_a(p=port_a.p, h=port_a.h, Xi=port_a.Xi)
// "Medium properties in port_a";
// Medium.BaseProperties medium_b(p=port_b.p, h=port_b.h, Xi=port_b.Xi)
// "Medium properties in port_b";
Medium.MassFlowRate m_flow
"Mass flow rate from port_a to port_b (m_flow > 0 is design flow direction)";
SI.Pressure dp "Pressure drop from port_a to port_b";
equation
/* Handle reverse and zero flow */
port_a.H_flow = semiLinear(
port_a.m_flow,
port_a.h,
port_b.h);
port_a.mXi_flow = semiLinear(
port_a.m_flow,
port_a.Xi,
port_b.Xi);
/* Energy, mass and substance mass balance */
port_a.H_flow + port_b.H_flow = 0;
port_a.m_flow + port_b.m_flow = 0;
port_a.mXi_flow + port_b.mXi_flow = zeros(Medium.nXi);
// Design direction of mass flow rate
m_flow = port_a.m_flow;
// Pressure drop
dp = port_a.p - port_b.p;
m_flow = (m_flow_nominal/dp_nominal)*dp;
end ShortPipe;
partial model PartialTestModel "Basic test model to test a medium"
replaceable package Medium = Modelica.Media.Interfaces.PartialMedium
"Medium model"
parameter SI.AbsolutePressure p_start=Medium.p_default
"Initial value of pressure";
parameter SI.Temperature T_start=Medium.T_default
"Initial value of temperature";
parameter SI.SpecificEnthalpy h_start=Medium.h_default
"Initial value of specific enthalpy";
parameter Real X_start[Medium.nX]=Medium.X_default
"Initial value of mass fractions";
/*
parameter SI.AbsolutePressure p_start = 1.0e5 "Initial value of pressure";
parameter SI.Temperature T_start = 300 "Initial value of temperature";
parameter SI.Density h_start = 1 "Initial value of specific enthalpy";
parameter Real X_start[Medium.nX] = Medium.reference_X
"Initial value of mass fractions";
*/
PortVolume volume(
redeclare package Medium = Medium,
p_start=p_start,
T_start=T_start,
h_start=h_start,
X_start=X_start,
V=0.1)
FixedMassFlowRate fixedMassFlowRate(
redeclare package Medium = Medium,
T_ambient=1.2*T_start,
h_ambient=1.2*h_start,
m_flow=1,
X_ambient=0.5*X_start)
FixedAmbient ambient(
redeclare package Medium = Medium,
T_ambient=T_start,
h_ambient=h_start,
X_ambient=X_start,
p_ambient=p_start)
ShortPipe shortPipe(
redeclare package Medium = Medium,
m_flow_nominal=1,
dp_nominal=0.1e5)
equation
connect(fixedMassFlowRate.port, volume.port)
connect(volume.port, shortPipe.port_a)
connect(shortPipe.port_b, ambient.port)
end PartialTestModel;
partial model PartialTestModel2
"Slightly larger test model to test a medium"
replaceable package Medium = Modelica.Media.Interfaces.PartialMedium
"Medium model"
parameter SI.AbsolutePressure p_start=1.0e5 "Initial value of pressure";
parameter SI.Temperature T_start=300 "Initial value of temperature";
parameter SI.SpecificEnthalpy h_start=1
"Initial value of specific enthalpy";
parameter Real X_start[Medium.nX]=Medium.reference_X
"Initial value of mass fractions";
PortVolume volume(
redeclare package Medium = Medium,
p_start=p_start,
T_start=T_start,
h_start=h_start,
X_start=X_start,
V=0.1)
FixedMassFlowRate fixedMassFlowRate(
redeclare package Medium = Medium,
T_ambient=1.2*T_start,
h_ambient=1.2*h_start,
m_flow=1,
X_ambient=0.5*X_start)
FixedAmbient ambient(
redeclare package Medium = Medium,
T_ambient=T_start,
h_ambient=h_start,
X_ambient=X_start,
p_ambient=p_start)
ShortPipe shortPipe(
redeclare package Medium = Medium,
m_flow_nominal=1,
dp_nominal=0.1e5)
PortVolume volume1(
redeclare package Medium = Medium,
p_start=p_start,
T_start=T_start,
h_start=h_start,
X_start=X_start,
V=0.1)
ShortPipe shortPipe1(
redeclare package Medium = Medium,
m_flow_nominal=1,
dp_nominal=0.1e5)
equation
connect(fixedMassFlowRate.port, volume.port)
connect(volume.port, shortPipe.port_a)
connect(volume1.port, shortPipe1.port_a)
connect(shortPipe.port_b, volume1.port)
connect(shortPipe1.port_b, ambient.port)
end PartialTestModel2;
end Utilities;
end Examples;
package Interfaces "Interfaces for media models"
extends Modelica.Icons.InterfacesPackage;
partial package TemplateMedium "Template for media models"
/* For a new medium, make a copy of this package and remove
the "partial" keyword from the package definition above.
The statement below extends from PartialMedium and sets some
package constants. Provide values for these constants
that are appropriate for your medium model. Note that other
constants (such as nX, nXi) are automatically defined by
definitions given in the base class Interfaces.PartialMedium"
*/
extends Modelica.Media.Interfaces.PartialMedium(
final mediumName="NameOfMedium",
final substanceNames={mediumName},
final singleState=false,
final reducedX=true,
final fixedX=true,
Temperature(
min=273,
max=450,
start=323));
// Provide medium constants here
constant SpecificHeatCapacity cp_const=123456
"Constant specific heat capacity at constant pressure";
/* The vector substanceNames is mandatory, as the number of
substances is determined based on its size. Here we assume
a single-component medium.
singleState is true, if u and d do not depend on pressure, but only
on a thermal variable (temperature or enthalpy). Otherwise, set it
to false.
For a single-substance medium, just set reducedX and fixedX to true, and there's
no need to bother about medium compositions at all. Otherwise, set
final reducedX = true, if the medium model has nS-1 independent mass
fraction, or reducedX = false, if the medium model has nS independent
mass fractions (nS = number of substances).
If a mixture has a fixed composition set fixedX=true, otherwise false.
The modifiers for reducedX and fixedX should normally be final
since the other equations are based on these values.
It is also possible to redeclare the min, max, and start attributes of
Medium types, defined in the base class Interfaces.PartialMedium
(the example of Temperature is shown here). Min and max attributes
should be set in accordance to the limits of validity of the medium
model, while the start attribute should be a reasonable default value
for the initialization of nonlinear solver iterations */
/* Provide an implementation of model BaseProperties,
that is defined in PartialMedium. Select two independent
variables from p, T, d, u, h. The other independent
variables are the mass fractions "Xi", if there is more
than one substance. Provide 3 equations to obtain the remaining
variables as functions of the independent variables.
It is also necessary to provide two additional equations to set
the gas constant R_s and the molar mass MM of the medium.
Finally, the thermodynamic state vector, defined in the base class
Interfaces.PartialMedium.BaseProperties, should be set, according to
its definition (see ThermodynamicState below).
The computation of vector X[nX] from Xi[nXi] is already included in
the base class Interfaces.PartialMedium.BaseProperties, so it should not
be repeated here.
The code fragment below is for a single-substance medium with
p,T as independent variables.
*/
redeclare model extends BaseProperties(final standardOrderComponents=true)
"Base properties of medium"
equation
d = 1;
h = cp_const*T;
u = h - p/d;
MM = 0.024;
R_s = Modelica.Constants.R/MM;
state.p = p;
state.T = T;
end BaseProperties;
/* Provide implementations of the following optional properties.
If not available, delete the corresponding function.
The record "ThermodynamicState" contains the input arguments
of all the function and is defined together with the used
type definitions in PartialMedium. The record most often contains two of the
variables "p, T, d, h" (e.g., medium.T)
*/
redeclare replaceable record ThermodynamicState
"A selection of variables that uniquely defines the thermodynamic state"
extends Modelica.Icons.Record;
AbsolutePressure p "Absolute pressure of medium";
Temperature T "Temperature of medium";
end ThermodynamicState;
redeclare function extends dynamicViscosity "Return dynamic viscosity"
algorithm
eta := 10 - state.T*0.3 + state.p*0.2;
end dynamicViscosity;
redeclare function extends thermalConductivity
"Return thermal conductivity"
algorithm
lambda := 0;
end thermalConductivity;
redeclare function extends specificEntropy "Return specific entropy"
algorithm
s := 0;
end specificEntropy;
redeclare function extends specificHeatCapacityCp
"Return specific heat capacity at constant pressure"
algorithm
cp := 0;
end specificHeatCapacityCp;
redeclare function extends specificHeatCapacityCv
"Return specific heat capacity at constant volume"
algorithm
cv := 0;
end specificHeatCapacityCv;
redeclare function extends isentropicExponent "Return isentropic exponent"
extends Modelica.Icons.Function;
algorithm
gamma := 1;
end isentropicExponent;
redeclare function extends velocityOfSound "Return velocity of sound"
extends Modelica.Icons.Function;
algorithm
a := 0;
end velocityOfSound;
end TemplateMedium;
partial package PartialMedium
"Partial medium properties (base package of all media packages)"
extends Modelica.Media.Interfaces.Types;
extends Modelica.Icons.MaterialPropertiesPackage;
// Constants to be set in Medium
constant Modelica.Media.Interfaces.Choices.IndependentVariables
ThermoStates "Enumeration type for independent variables";
constant String mediumName="unusablePartialMedium" "Name of the medium";
constant String substanceNames[:]={mediumName}
"Names of the mixture substances. Set substanceNames={mediumName} if only one substance.";
constant String extraPropertiesNames[:]=fill("", 0)
"Names of the additional (extra) transported properties. Set extraPropertiesNames=fill(\"\",0) if unused";
constant Boolean singleState
"= true, if u and d are not a function of pressure";
constant Boolean reducedX=true
"= true, if medium contains the equation sum(X) = 1.0; set reducedX=true, if only one substance (see docu for details)";
constant Boolean fixedX=false
"= true, if medium contains the equation X = reference_X";
constant AbsolutePressure reference_p=101325
"Reference pressure of Medium: default 1 atmosphere";
constant Temperature reference_T=298.15
"Reference temperature of Medium: default 25 deg Celsius";
constant MassFraction reference_X[nX]=fill(1/nX, nX)
"Default mass fractions of medium";
constant AbsolutePressure p_default=101325
"Default value for pressure of medium (for initialization)";
constant Temperature T_default=Modelica.Units.Conversions.from_degC(20)
"Default value for temperature of medium (for initialization)";
constant SpecificEnthalpy h_default=specificEnthalpy_pTX(
p_default,
T_default,
X_default)
"Default value for specific enthalpy of medium (for initialization)";
constant MassFraction X_default[nX]=reference_X
"Default value for mass fractions of medium (for initialization)";
constant ExtraProperty C_default[nC]=fill(0, nC)
"Default value for trace substances of medium (for initialization)";
final constant Integer nS=size(substanceNames, 1) "Number of substances";
constant Integer nX=nS "Number of mass fractions";
constant Integer nXi=if fixedX then 0 else if reducedX then nS - 1 else nS
"Number of structurally independent mass fractions (see docu for details)";
final constant Integer nC=size(extraPropertiesNames, 1)
"Number of extra (outside of standard mass-balance) transported properties";
constant Real C_nominal[nC](min=fill(Modelica.Constants.eps, nC)) = 1.0e-6*
ones(nC) "Default for the nominal values for the extra properties";
replaceable record FluidConstants =
Modelica.Media.Interfaces.Types.Basic.FluidConstants
"Critical, triple, molecular and other standard data of fluid";
replaceable record ThermodynamicState
"Minimal variable set that is available as input argument to every medium function"
extends Modelica.Icons.Record;
end ThermodynamicState;
replaceable partial model BaseProperties
"Base properties (p, d, T, h, u, R_s, MM and, if applicable, X and Xi) of a medium"
InputAbsolutePressure p "Absolute pressure of medium";
InputMassFraction[nXi] Xi(start=reference_X[1:nXi])
"Structurally independent mass fractions";
InputSpecificEnthalpy h "Specific enthalpy of medium";
Density d "Density of medium";
Temperature T "Temperature of medium";
MassFraction[nX] X(start=reference_X)
"Mass fractions (= (component mass)/total mass m_i/m)";
SpecificInternalEnergy u "Specific internal energy of medium";
SpecificHeatCapacity R_s "Gas constant (of mixture if applicable)";
MolarMass MM "Molar mass (of mixture or single fluid)";
ThermodynamicState state
"Thermodynamic state record for optional functions";
parameter Boolean preferredMediumStates=false
"= true, if StateSelect.prefer shall be used for the independent property variables of the medium"
parameter Boolean standardOrderComponents=true
"If true, and reducedX = true, the last element of X will be computed from the other ones";
Modelica.Units.NonSI.Temperature_degC T_degC=
Modelica.Units.Conversions.to_degC(T)
"Temperature of medium in [degC]";
Modelica.Units.NonSI.Pressure_bar p_bar=
Modelica.Units.Conversions.to_bar(p)
"Absolute pressure of medium in [bar]";
// Local connector definition, used for equation balancing check
connector InputAbsolutePressure = input SI.AbsolutePressure
"Pressure as input signal connector";
connector InputSpecificEnthalpy = input SI.SpecificEnthalpy
"Specific enthalpy as input signal connector";
connector InputMassFraction = input SI.MassFraction
"Mass fraction as input signal connector";
equation
if standardOrderComponents then
Xi = X[1:nXi];
if fixedX then
X = reference_X;
end if;
if reducedX and not fixedX then
X[nX] = 1 - sum(Xi);
end if;
for i in 1:nX loop
assert(X[i] >= -1.e-5 and X[i] <= 1 + 1.e-5, "Mass fraction X[" +
String(i) + "] = " + String(X[i]) + "of substance " +
substanceNames[i] + "\nof medium " + mediumName +
" is not in the range 0..1");
end for;
end if;
assert(p >= 0.0, "Pressure (= " + String(p) + " Pa) of medium \"" +
mediumName + "\" is negative\n(Temperature = " + String(T) + " K)");
end BaseProperties;
replaceable partial function setState_pTX
"Return thermodynamic state as function of p, T and composition X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
input MassFraction X[:]=reference_X "Mass fractions";
output ThermodynamicState state "Thermodynamic state record";
end setState_pTX;
replaceable partial function setState_phX
"Return thermodynamic state as function of p, h and composition X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input MassFraction X[:]=reference_X "Mass fractions";
output ThermodynamicState state "Thermodynamic state record";
end setState_phX;
replaceable partial function setState_psX
"Return thermodynamic state as function of p, s and composition X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
input MassFraction X[:]=reference_X "Mass fractions";
output ThermodynamicState state "Thermodynamic state record";
end setState_psX;
replaceable partial function setState_dTX
"Return thermodynamic state as function of d, T and composition X or Xi"
extends Modelica.Icons.Function;
input Density d "Density";
input Temperature T "Temperature";
input MassFraction X[:]=reference_X "Mass fractions";
output ThermodynamicState state "Thermodynamic state record";
end setState_dTX;
replaceable partial function setSmoothState
"Return thermodynamic state so that it smoothly approximates: if x > 0 then state_a else state_b"
extends Modelica.Icons.Function;
input Real x "m_flow or dp";
input ThermodynamicState state_a "Thermodynamic state if x > 0";
input ThermodynamicState state_b "Thermodynamic state if x < 0";
input Real x_small(min=0)
"Smooth transition in the region -x_small < x < x_small";
output ThermodynamicState state
"Smooth thermodynamic state for all x (continuous and differentiable)";
</pre></blockquote>
<p>
This is performed by applying function <strong>Media.Common.smoothStep</strong>(..)
on every element of the thermodynamic state record.
</p>
<p>
If <strong>mass fractions</strong> X[:] are approximated with this function then this can be performed
for all <strong>nX</strong> mass fractions, instead of applying it for nX-1 mass fractions and computing
the last one by the mass fraction constraint sum(X)=1. The reason is that the approximating function has the
property that sum(state.X) = 1, provided sum(state_a.X) = sum(state_b.X) = 1.
This can be shown by evaluating the approximating function in the abs(x) < x_small
region (otherwise state.X is either state_a.X or state_b.X):
</p>
<blockquote><pre>
X[1] = smoothStep(x, X_a[1] , X_b[1] , x_small);
X[2] = smoothStep(x, X_a[2] , X_b[2] , x_small);
...
X[nX] = smoothStep(x, X_a[nX], X_b[nX], x_small);
</pre></blockquote>
<p>
or
</p>
<blockquote><pre>
X[1] = c*(X_a[1] - X_b[1]) + (X_a[1] + X_b[1])/2
X[2] = c*(X_a[2] - X_b[2]) + (X_a[2] + X_b[2])/2;
...
X[nX] = c*(X_a[nX] - X_b[nX]) + (X_a[nX] + X_b[nX])/2;
c = (x/x_small)*((x/x_small)^2 - 3)/4
</pre></blockquote>
<p>
Summing all mass fractions together results in
</p>
<blockquote><pre>
sum(X) = c*(sum(X_a) - sum(X_b)) + (sum(X_a) + sum(X_b))/2
= c*(1 - 1) + (1 + 1)/2
= 1
</pre></blockquote>
</html>"));
end setSmoothState;
replaceable partial function dynamicViscosity "Return dynamic viscosity"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output DynamicViscosity eta "Dynamic viscosity";
end dynamicViscosity;
replaceable partial function thermalConductivity
"Return thermal conductivity"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output ThermalConductivity lambda "Thermal conductivity";
end thermalConductivity;
replaceable function prandtlNumber "Return the Prandtl number"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output PrandtlNumber Pr "Prandtl number";
algorithm
Pr := dynamicViscosity(state)*specificHeatCapacityCp(state)/
thermalConductivity(state);
end prandtlNumber;
replaceable partial function pressure "Return pressure"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output AbsolutePressure p "Pressure";
end pressure;
replaceable partial function temperature "Return temperature"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output Temperature T "Temperature";
end temperature;
replaceable partial function density "Return density"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output Density d "Density";
end density;
replaceable partial function specificEnthalpy "Return specific enthalpy"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output SpecificEnthalpy h "Specific enthalpy";
end specificEnthalpy;
replaceable partial function specificInternalEnergy
"Return specific internal energy"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output SpecificEnergy u "Specific internal energy";
end specificInternalEnergy;
replaceable partial function specificEntropy "Return specific entropy"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output SpecificEntropy s "Specific entropy";
end specificEntropy;
replaceable partial function specificGibbsEnergy
"Return specific Gibbs energy"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output SpecificEnergy g "Specific Gibbs energy";
end specificGibbsEnergy;
replaceable partial function specificHelmholtzEnergy
"Return specific Helmholtz energy"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output SpecificEnergy f "Specific Helmholtz energy";
end specificHelmholtzEnergy;
replaceable partial function specificHeatCapacityCp
"Return specific heat capacity at constant pressure"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output SpecificHeatCapacity cp
"Specific heat capacity at constant pressure";
end specificHeatCapacityCp;
function heatCapacity_cp = specificHeatCapacityCp
"Alias for deprecated name";
replaceable partial function specificHeatCapacityCv
"Return specific heat capacity at constant volume"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output SpecificHeatCapacity cv
"Specific heat capacity at constant volume";
end specificHeatCapacityCv;
function heatCapacity_cv = specificHeatCapacityCv
"Alias for deprecated name";
replaceable partial function isentropicExponent
"Return isentropic exponent"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output IsentropicExponent gamma "Isentropic exponent";
end isentropicExponent;
replaceable partial function isentropicEnthalpy
"Return isentropic enthalpy"
extends Modelica.Icons.Function;
input AbsolutePressure p_downstream "Downstream pressure";
input ThermodynamicState refState "Reference state for entropy";
output SpecificEnthalpy h_is "Isentropic enthalpy";
end isentropicEnthalpy;
replaceable partial function velocityOfSound "Return velocity of sound"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output VelocityOfSound a "Velocity of sound";
end velocityOfSound;
replaceable partial function isobaricExpansionCoefficient
"Return overall the isobaric expansion coefficient beta"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output IsobaricExpansionCoefficient beta "Isobaric expansion coefficient";
end isobaricExpansionCoefficient;
function beta = isobaricExpansionCoefficient
"Alias for isobaricExpansionCoefficient for user convenience";
replaceable partial function isothermalCompressibility
"Return overall the isothermal compressibility factor"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output SI.IsothermalCompressibility kappa "Isothermal compressibility";
end isothermalCompressibility;
function kappa = isothermalCompressibility
"Alias of isothermalCompressibility for user convenience";
// explicit derivative functions for finite element models
replaceable partial function density_derp_h
"Return density derivative w.r.t. pressure at constant specific enthalpy"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output DerDensityByPressure ddph "Density derivative w.r.t. pressure";
end density_derp_h;
replaceable partial function density_derh_p
"Return density derivative w.r.t. specific enthalpy at constant pressure"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output DerDensityByEnthalpy ddhp
"Density derivative w.r.t. specific enthalpy";
end density_derh_p;
replaceable partial function density_derp_T
"Return density derivative w.r.t. pressure at constant temperature"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output DerDensityByPressure ddpT "Density derivative w.r.t. pressure";
end density_derp_T;
replaceable partial function density_derT_p
"Return density derivative w.r.t. temperature at constant pressure"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output DerDensityByTemperature ddTp
"Density derivative w.r.t. temperature";
end density_derT_p;
replaceable partial function density_derX
"Return density derivative w.r.t. mass fraction"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output Density[nX] dddX "Derivative of density w.r.t. mass fraction";
end density_derX;
replaceable partial function molarMass
"Return the molar mass of the medium"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output MolarMass MM "Mixture molar mass";
end molarMass;
replaceable function specificEnthalpy_pTX
"Return specific enthalpy from p, T, and X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
input MassFraction X[:]=reference_X "Mass fractions";
output SpecificEnthalpy h "Specific enthalpy";
algorithm
h := specificEnthalpy(setState_pTX(
p,
T,
X));
end specificEnthalpy_pTX;
replaceable function specificEntropy_pTX
"Return specific entropy from p, T, and X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
input MassFraction X[:]=reference_X "Mass fractions";
output SpecificEntropy s "Specific entropy";
algorithm
s := specificEntropy(setState_pTX(
p,
T,
X));
end specificEntropy_pTX;
replaceable function density_pTX "Return density from p, T, and X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
input MassFraction X[:] "Mass fractions";
output Density d "Density";
algorithm
d := density(setState_pTX(
p,
T,
X));
end density_pTX;
replaceable function temperature_phX
"Return temperature from p, h, and X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input MassFraction X[:]=reference_X "Mass fractions";
output Temperature T "Temperature";
algorithm
T := temperature(setState_phX(
p,
h,
X));
end temperature_phX;
replaceable function density_phX "Return density from p, h, and X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input MassFraction X[:]=reference_X "Mass fractions";
output Density d "Density";
algorithm
d := density(setState_phX(
p,
h,
X));
end density_phX;
replaceable function temperature_psX
"Return temperature from p, s, and X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
input MassFraction X[:]=reference_X "Mass fractions";
output Temperature T "Temperature";
algorithm
T := temperature(setState_psX(
p,
s,
X));
end temperature_psX;
replaceable function density_psX "Return density from p, s, and X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
input MassFraction X[:]=reference_X "Mass fractions";
output Density d "Density";
algorithm
d := density(setState_psX(
p,
s,
X));
end density_psX;
replaceable function specificEnthalpy_psX
"Return specific enthalpy from p, s, and X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
input MassFraction X[:]=reference_X "Mass fractions";
output SpecificEnthalpy h "Specific enthalpy";
algorithm
h := specificEnthalpy(setState_psX(
p,
s,
X));
end specificEnthalpy_psX;
replaceable partial function massFraction "Return independent mass fractions (if any)"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output MassFraction Xi[nXi] "Independent mass fractions";
end massFraction;
type MassFlowRate = SI.MassFlowRate (
quantity="MassFlowRate." + mediumName,
min=-1.0e5,
max=1.e5) "Type for mass flow rate with medium specific attributes";
end PartialMedium;
partial package PartialPureSubstance
"Base class for pure substances of one chemical substance"
extends PartialMedium(final reducedX=true, final fixedX=true);
replaceable function setState_pT "Return thermodynamic state from p and T"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
output ThermodynamicState state "Thermodynamic state record";
algorithm
state := setState_pTX(
p,
T,
fill(0.0, 0));
end setState_pT;
replaceable function setState_ph "Return thermodynamic state from p and h"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
output ThermodynamicState state "Thermodynamic state record";
algorithm
state := setState_phX(
p,
h,
fill(0.0, 0));
end setState_ph;
replaceable function setState_ps "Return thermodynamic state from p and s"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
output ThermodynamicState state "Thermodynamic state record";
algorithm
state := setState_psX(
p,
s,
fill(0.0, 0));
end setState_ps;
replaceable function setState_dT "Return thermodynamic state from d and T"
extends Modelica.Icons.Function;
input Density d "Density";
input Temperature T "Temperature";
output ThermodynamicState state "Thermodynamic state record";
algorithm
state := setState_dTX(
d,
T,
fill(0.0, 0));
end setState_dT;
replaceable function density_ph "Return density from p and h"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
output Density d "Density";
algorithm
d := density_phX(
p,
h,
fill(0.0, 0));
end density_ph;
replaceable function temperature_ph "Return temperature from p and h"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
output Temperature T "Temperature";
algorithm
T := temperature_phX(
p,
h,
fill(0.0, 0));
end temperature_ph;
replaceable function pressure_dT "Return pressure from d and T"
extends Modelica.Icons.Function;
input Density d "Density";
input Temperature T "Temperature";
output AbsolutePressure p "Pressure";
algorithm
p := pressure(setState_dTX(
d,
T,
fill(0.0, 0)));
end pressure_dT;
replaceable function specificEnthalpy_dT
"Return specific enthalpy from d and T"
extends Modelica.Icons.Function;
input Density d "Density";
input Temperature T "Temperature";
output SpecificEnthalpy h "Specific enthalpy";
algorithm
h := specificEnthalpy(setState_dTX(
d,
T,
fill(0.0, 0)));
end specificEnthalpy_dT;
replaceable function specificEnthalpy_ps
"Return specific enthalpy from p and s"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
output SpecificEnthalpy h "Specific enthalpy";
algorithm
h := specificEnthalpy_psX(
p,
s,
fill(0.0, 0));
end specificEnthalpy_ps;
replaceable function temperature_ps "Return temperature from p and s"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
output Temperature T "Temperature";
algorithm
T := temperature_psX(
p,
s,
fill(0.0, 0));
end temperature_ps;
replaceable function density_ps "Return density from p and s"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
output Density d "Density";
algorithm
d := density_psX(
p,
s,
fill(0.0, 0));
end density_ps;
replaceable function specificEnthalpy_pT
"Return specific enthalpy from p and T"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
output SpecificEnthalpy h "Specific enthalpy";
algorithm
h := specificEnthalpy_pTX(
p,
T,
fill(0.0, 0));
end specificEnthalpy_pT;
replaceable function density_pT "Return density from p and T"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
output Density d "Density";
algorithm
d := density(setState_pTX(
p,
T,
fill(0.0, 0)));
end density_pT;
redeclare replaceable function massFraction "Return independent mass fractions (if any)"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output MassFraction Xi[nXi] "Independent mass fractions";
algorithm
Xi := fill(0,0);
end massFraction;
redeclare replaceable partial model extends BaseProperties(final
standardOrderComponents=true)
end BaseProperties;
end PartialPureSubstance;
partial package PartialLinearFluid
"Generic pure liquid model with constant cp, compressibility and thermal expansion coefficients"
extends Interfaces.PartialPureSubstance(ThermoStates=Modelica.Media.Interfaces.Choices.IndependentVariables.pTX,
singleState=false);
constant SpecificHeatCapacity cp_const
"Specific heat capacity at constant pressure";
constant IsobaricExpansionCoefficient beta_const
"Thermal expansion coefficient at constant pressure";
constant SI.IsothermalCompressibility kappa_const
"Isothermal compressibility";
constant MolarMass MM_const "Molar mass";
constant Density reference_d "Density in reference conditions";
constant SpecificEnthalpy reference_h
"Specific enthalpy in reference conditions";
constant SpecificEntropy reference_s
"Specific entropy in reference conditions";
constant Boolean constantJacobian
"If true, entries in thermodynamic Jacobian are constant, taken at reference conditions";
redeclare record ThermodynamicState
"A selection of variables that uniquely defines the thermodynamic state"
extends Modelica.Icons.Record;
AbsolutePressure p "Absolute pressure of medium";
Temperature T "Temperature of medium";
end ThermodynamicState;
redeclare model extends BaseProperties(T(stateSelect=if
preferredMediumStates then StateSelect.prefer else StateSelect.default),
p(stateSelect=if preferredMediumStates then StateSelect.prefer else
StateSelect.default)) "Base properties of medium"
equation
d = (1 + (p - reference_p)*kappa_const - (T - reference_T)*beta_const)*
reference_d;
h = reference_h + (T - reference_T)*cp_const + (p - reference_p)*(1 -
beta_const*reference_T)/reference_d;
u = h - p/d;
p = state.p;
T = state.T;
MM = MM_const;
R_s = Modelica.Constants.R/MM;
end BaseProperties;
redeclare function extends setState_pTX
"Set the thermodynamic state record from p and T (X not needed)"
algorithm
state := ThermodynamicState(p=p, T=T);
end setState_pTX;
redeclare function extends setState_phX
"Set the thermodynamic state record from p and h (X not needed)"
algorithm
state := ThermodynamicState(p=p, T=(h - reference_h - (p - reference_p)*(
(1 - beta_const*reference_T)/reference_d))/cp_const + reference_T);
end setState_phX;
redeclare function extends setState_psX
"Set the thermodynamic state record from p and s (X not needed)"
algorithm
state := ThermodynamicState(p=p, T=reference_T*cp_const/(cp_const - s +
reference_s + (p - reference_p)*(-beta_const/reference_d)));
end setState_psX;
redeclare function extends setState_dTX
"Set the thermodynamic state record from d and T (X not needed)"
algorithm
state := ThermodynamicState(p=((d - reference_d) + (T - reference_T)
*beta_const*reference_d)/(reference_d*kappa_const) + reference_p, T=T);
end setState_dTX;
redeclare function extends setSmoothState
"Return thermodynamic state so that it smoothly approximates: if x > 0 then state_a else state_b"
algorithm
state := ThermodynamicState(p=Media.Common.smoothStep(
x,
state_a.p,
state_b.p,
x_small), T=Media.Common.smoothStep(
x,
state_a.T,
state_b.T,
x_small));
end setSmoothState;
redeclare function extends pressure
"Return the pressure from the thermodynamic state"
algorithm
p := state.p;
end pressure;
redeclare function extends temperature
"Return the temperature from the thermodynamic state"
algorithm
T := state.T;
end temperature;
redeclare function extends density
"Return the density from the thermodynamic state"
algorithm
d := (1 + (state.p - reference_p)*kappa_const - (state.T - reference_T)*
beta_const)*reference_d;
end density;
redeclare function extends specificEnthalpy
"Return the specific enthalpy from the thermodynamic state"
algorithm
h := reference_h + (state.T - reference_T)*cp_const + (state.p -
reference_p)*(1 - beta_const*reference_T)/reference_d;
end specificEnthalpy;
redeclare function extends specificEntropy
"Return the specific entropy from the thermodynamic state"
algorithm
s := reference_s + (state.T - reference_T)*cp_const/state.T + (state.p -
reference_p)*(-beta_const/reference_d);
end specificEntropy;
redeclare function extends specificInternalEnergy
"Return the specific internal energy from the thermodynamic state"
algorithm
u := specificEnthalpy(state) - state.p/reference_d;
end specificInternalEnergy;
redeclare function extends specificGibbsEnergy
"Return specific Gibbs energy from the thermodynamic state"
extends Modelica.Icons.Function;
algorithm
g := specificEnthalpy(state) - state.T*specificEntropy(state);
end specificGibbsEnergy;
redeclare function extends specificHelmholtzEnergy
"Return specific Helmholtz energy from the thermodynamic state"
extends Modelica.Icons.Function;
algorithm
f := specificInternalEnergy(state) - state.T*specificEntropy(state);
end specificHelmholtzEnergy;
redeclare function extends velocityOfSound
"Return velocity of sound from the thermodynamic state"
extends Modelica.Icons.Function;
algorithm
a := sqrt(max(0, 1/(kappa_const*density(state) - beta_const*beta_const*
state.T/cp_const)));
end velocityOfSound;
redeclare function extends isentropicExponent
"Return isentropic exponent from the thermodynamic state"
extends Modelica.Icons.Function;
algorithm
gamma := 1/(state.p*kappa_const)*cp_const/specificHeatCapacityCv(state);
end isentropicExponent;
redeclare function extends isentropicEnthalpy "Return isentropic enthalpy"
/* Previous wrong equation:
protected
SpecificEntropy s_upstream = specificEntropy(refState)
"Specific entropy at component inlet";
ThermodynamicState downstreamState "State at downstream location";
algorithm
downstreamState.p := p_downstream;
downstreamState.T := reference_T*cp_const/
(s_upstream -reference_s -(p_downstream-reference_p)*(-beta_const/reference_d) - cp_const);
h_is := specificEnthalpy(downstreamState);
*/
algorithm
/* s := reference_s + (refState.T-reference_T)*cp_const/refState.T +
(refState.p-reference_p)*(-beta_const/reference_d)
= reference_s + (state.T-reference_T)*cp_const/state.T +
(p_downstream-reference_p)*(-beta_const/reference_d);
(state.T-reference_T)*cp_const/state.T
= (refState.T-reference_T)*cp_const/refState.T + (refState.p-reference_p)*(-beta_const/reference_d)
- (p_downstream-reference_p)*(-beta_const/reference_d)
= (refState.T-reference_T)*cp_const/refState.T + (refState.p-p_downstream)*(-beta_const/reference_d)
(x - reference_T)/x = k
x - reference_T = k*x
(1-k)*x = reference_T
x = reference_T/(1-k);
state.T = reference_T/(1 - ((refState.T-reference_T)*cp_const/refState.T + (refState.p-p_downstream)*(-beta_const/reference_d))/cp_const)
*/
h_is := specificEnthalpy(setState_pTX(
p_downstream,
reference_T/(1 - ((refState.T - reference_T)/refState.T + (
refState.p - p_downstream)*(-beta_const/(reference_d*cp_const)))),
reference_X));
end isentropicEnthalpy;
redeclare function extends specificHeatCapacityCp
"Return specific heat capacity at constant volume"
algorithm
cp := cp_const;
end specificHeatCapacityCp;
redeclare function extends specificHeatCapacityCv
"Return specific heat capacity at constant volume from the thermodynamic state"
algorithm
cv := if constantJacobian then cp_const - reference_T*beta_const*
beta_const/(kappa_const*reference_d) else state.T*beta_const*beta_const
/(kappa_const*reference_d);
end specificHeatCapacityCv;
redeclare function extends isothermalCompressibility
"Return the isothermal compressibility kappa"
algorithm
kappa := kappa_const;
end isothermalCompressibility;
redeclare function extends isobaricExpansionCoefficient
"Return the isobaric expansion coefficient"
algorithm
beta := beta_const;
end isobaricExpansionCoefficient;
redeclare function extends density_derp_h
"Return density derivative w.r.t. pressure at constant specific enthalpy"
algorithm
ddph := if constantJacobian then kappa_const*reference_d + (beta_const*(1
- reference_T*beta_const))/cp_const else kappa_const*density(state) +
(beta_const*(1 - temperature(state)*beta_const))/cp_const;
end density_derp_h;
redeclare function extends density_derh_p
"Return density derivative w.r.t. specific enthalpy at constant pressure"
algorithm
ddhp := if constantJacobian then -beta_const*reference_d/cp_const else -
beta_const*density(state)/cp_const;
end density_derh_p;
redeclare function extends density_derp_T
"Return density derivative w.r.t. pressure at constant temperature"
algorithm
ddpT := if constantJacobian then kappa_const*reference_d else kappa_const
*density(state);
end density_derp_T;
redeclare function extends density_derT_p
"Return density derivative w.r.t. temperature at constant pressure"
algorithm
ddTp := if constantJacobian then -beta_const*reference_d else -beta_const
*density(state);
end density_derT_p;
redeclare function extends density_derX
"Returns the partial derivative of density with respect to mass fractions at constant pressure and temperature"
algorithm
dddX := fill(0, nX);
end density_derX;
redeclare function extends molarMass "Return molar mass"
algorithm
MM := MM_const;
end molarMass;
function T_ph "Return temperature from pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SpecificEnthalpy h "Specific enthalpy";
input AbsolutePressure p "Pressure";
output Temperature T "Temperature";
algorithm
T := (h - reference_h - (p - reference_p)*((1 - beta_const*reference_T)/
reference_d))/cp_const + reference_T;
end T_ph;
function T_ps "Return temperature from pressure and specific entropy"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
output Temperature T "Temperature";
algorithm
T := reference_T*cp_const/(s - reference_s - (p - reference_p)*(-
beta_const/reference_d) - cp_const);
end T_ps;
end PartialLinearFluid;
partial package PartialMixtureMedium
"Base class for pure substances of several chemical substances"
extends PartialMedium(redeclare replaceable record FluidConstants =
Modelica.Media.Interfaces.Types.IdealGas.FluidConstants);
redeclare replaceable record extends ThermodynamicState
"Thermodynamic state variables"
AbsolutePressure p "Absolute pressure of medium";
Temperature T "Temperature of medium";
MassFraction[nX] X(start=reference_X)
"Mass fractions (= (component mass)/total mass m_i/m)";
end ThermodynamicState;
redeclare replaceable function massFraction "Return independent mass fractions (if any)"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output MassFraction Xi[nXi] "Independent mass fractions";
algorithm
Xi := state.X[1:nXi];
end massFraction;
constant FluidConstants[nS] fluidConstants "Constant data for the fluid";
replaceable function gasConstant
"Return the gas constant of the mixture (also for liquids)"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state";
output SI.SpecificHeatCapacity R_s "Mixture gas constant";
end gasConstant;
function moleToMassFractions "Return mass fractions X from mole fractions"
extends Modelica.Icons.Function;
input SI.MoleFraction moleFractions[:] "Mole fractions of mixture";
input MolarMass[:] MMX "Molar masses of components";
output SI.MassFraction X[size(moleFractions, 1)]
"Mass fractions of gas mixture";
protected
MolarMass Mmix=moleFractions*MMX "Molar mass of mixture";
algorithm
for i in 1:size(moleFractions, 1) loop
X[i] := moleFractions[i]*MMX[i]/Mmix;
end for;
end moleToMassFractions;
function massToMoleFractions "Return mole fractions from mass fractions X"
extends Modelica.Icons.Function;
input SI.MassFraction X[:] "Mass fractions of mixture";
input SI.MolarMass[:] MMX "Molar masses of components";
output SI.MoleFraction moleFractions[size(X, 1)]
"Mole fractions of gas mixture";
protected
Real invMMX[size(X, 1)] "Inverses of molar weights";
SI.MolarMass Mmix "Molar mass of mixture";
algorithm
for i in 1:size(X, 1) loop
invMMX[i] := 1/MMX[i];
end for;
Mmix := 1/(X*invMMX);
for i in 1:size(X, 1) loop
moleFractions[i] := Mmix*X[i]/MMX[i];
end for;
end massToMoleFractions;
end PartialMixtureMedium;
partial package PartialCondensingGases
"Base class for mixtures of condensing and non-condensing gases"
extends PartialMixtureMedium(ThermoStates=Modelica.Media.Interfaces.Choices.IndependentVariables.pTX);
replaceable partial function saturationPressure
"Return saturation pressure of condensing fluid"
extends Modelica.Icons.Function;
input Temperature Tsat "Saturation temperature";
output AbsolutePressure psat "Saturation pressure";
end saturationPressure;
replaceable partial function enthalpyOfVaporization
"Return vaporization enthalpy of condensing fluid"
extends Modelica.Icons.Function;
input Temperature T "Temperature";
output SpecificEnthalpy r0 "Vaporization enthalpy";
end enthalpyOfVaporization;
replaceable partial function enthalpyOfLiquid
"Return liquid enthalpy of condensing fluid"
extends Modelica.Icons.Function;
input Temperature T "Temperature";
output SpecificEnthalpy h "Liquid enthalpy";
end enthalpyOfLiquid;
replaceable partial function enthalpyOfGas
"Return enthalpy of non-condensing gas mixture"
extends Modelica.Icons.Function;
input Temperature T "Temperature";
input MassFraction[:] X "Vector of mass fractions";
output SpecificEnthalpy h "Specific enthalpy";
end enthalpyOfGas;
replaceable partial function enthalpyOfCondensingGas
"Return enthalpy of condensing gas (most often steam)"
extends Modelica.Icons.Function;
input Temperature T "Temperature";
output SpecificEnthalpy h "Specific enthalpy";
end enthalpyOfCondensingGas;
replaceable partial function enthalpyOfNonCondensingGas
"Return enthalpy of the non-condensing species"
extends Modelica.Icons.Function;
input Temperature T "Temperature";
output SpecificEnthalpy h "Specific enthalpy";
end enthalpyOfNonCondensingGas;
end PartialCondensingGases;
partial package PartialRealCondensingGases
"Base class for mixtures of real condensing and non-condensing gases"
extends Modelica.Media.Interfaces.PartialMixtureMedium(
redeclare replaceable record FluidConstants =
Modelica.Media.Interfaces.Types.TwoPhase.FluidConstants);
replaceable partial function saturationPressure
"Return saturation pressure of condensing fluid"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output AbsolutePressure psat "Saturation pressure";
end saturationPressure;
replaceable partial function saturationTemperature
"Return saturation temperature of condensing fluid"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output Temperature Tsat "Saturation temperature";
end saturationTemperature;
replaceable partial function massFractionSaturation
"Return saturation mass fractions"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output MassFraction[:] Xsat "Saturation mass fractions";
end massFractionSaturation;
replaceable partial function massFraction_pTphi
"Return mass fractions as a function of pressure, temperature and relative humidity"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
input Real phi "Relative humidity";
output MassFraction[:] X "Mass fractions";
end massFraction_pTphi;
replaceable partial function relativeHumidity "Return relative humidity"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output Real phi "Relative humidity";
end relativeHumidity;
replaceable partial function enthalpyOfVaporization
"Return vaporization enthalpy of condensing fluid"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output SpecificEnthalpy r0 "Vaporization enthalpy";
end enthalpyOfVaporization;
replaceable partial function enthalpyOfLiquid
"Return liquid enthalpy of condensing fluid"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output SpecificEnthalpy h "Liquid enthalpy";
end enthalpyOfLiquid;
replaceable partial function enthalpyOfGas
"Return enthalpy of non-condensing gas mixture"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output SpecificEnthalpy h "Specific enthalpy";
end enthalpyOfGas;
replaceable partial function enthalpyOfCondensingGas
"Return enthalpy of condensing gas (most often steam)"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output SpecificEnthalpy h "Specific enthalpy";
end enthalpyOfCondensingGas;
replaceable partial function enthalpyOfNonCondensingGas
"Return enthalpy of the non-condensing species"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output SpecificEnthalpy h "Specific enthalpy";
end enthalpyOfNonCondensingGas;
replaceable partial function specificEntropy_phX
"Return specific entropy as a function of pressure, specific enthalpy and mass fractions"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input MassFraction X[:]=reference_X "Mass fractions";
output SpecificEntropy s "Specific entropy";
algorithm
s := specificEntropy(setState_phX(
p,
h,
X));
end specificEntropy_phX;
end PartialRealCondensingGases;
partial package PartialTwoPhaseMedium
"Base class for two phase medium of one substance"
extends PartialPureSubstance(redeclare replaceable record FluidConstants =
Modelica.Media.Interfaces.Types.TwoPhase.FluidConstants);
constant Boolean smoothModel=false
"= true, if the (derived) model should not generate state events";
constant Boolean onePhase=false
"= true, if the (derived) model should never be called with two-phase inputs";
constant FluidConstants[nS] fluidConstants "Constant data for the fluid";
redeclare replaceable record extends ThermodynamicState
"Thermodynamic state of two phase medium"
FixedPhase phase(min=0, max=2)
"Phase of the fluid: 1 for 1-phase, 2 for two-phase, 0 for not known, e.g., interactive use";
end ThermodynamicState;
redeclare replaceable partial model extends BaseProperties
"Base properties (p, d, T, h, u, R_s, MM, sat) of two phase medium"
SaturationProperties sat "Saturation properties at the medium pressure";
end BaseProperties;
replaceable partial function setDewState
"Return the thermodynamic state on the dew line"
extends Modelica.Icons.Function;
input SaturationProperties sat "Saturation point";
input FixedPhase phase(
min=1,
max=2) = 1 "Phase: default is one phase";
output ThermodynamicState state "Complete thermodynamic state info";
end setDewState;
replaceable partial function setBubbleState
"Return the thermodynamic state on the bubble line"
extends Modelica.Icons.Function;
input SaturationProperties sat "Saturation point";
input FixedPhase phase(
min=1,
max=2) = 1 "Phase: default is one phase";
output ThermodynamicState state "Complete thermodynamic state info";
end setBubbleState;
redeclare replaceable partial function extends setState_dTX
"Return thermodynamic state as function of d, T and composition X or Xi"
input FixedPhase phase=0
"2 for two-phase, 1 for one-phase, 0 if not known";
end setState_dTX;
redeclare replaceable partial function extends setState_phX
"Return thermodynamic state as function of p, h and composition X or Xi"
input FixedPhase phase=0
"2 for two-phase, 1 for one-phase, 0 if not known";
end setState_phX;
redeclare replaceable partial function extends setState_psX
"Return thermodynamic state as function of p, s and composition X or Xi"
input FixedPhase phase=0
"2 for two-phase, 1 for one-phase, 0 if not known";
end setState_psX;
redeclare replaceable partial function extends setState_pTX
"Return thermodynamic state as function of p, T and composition X or Xi"
input FixedPhase phase=0
"2 for two-phase, 1 for one-phase, 0 if not known";
end setState_pTX;
replaceable function setSat_T
"Return saturation property record from temperature"
extends Modelica.Icons.Function;
input Temperature T "Temperature";
output SaturationProperties sat "Saturation property record";
algorithm
sat.Tsat := T;
sat.psat := saturationPressure(T);
end setSat_T;
replaceable function setSat_p
"Return saturation property record from pressure"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
output SaturationProperties sat "Saturation property record";
algorithm
sat.psat := p;
sat.Tsat := saturationTemperature(p);
end setSat_p;
replaceable partial function bubbleEnthalpy
"Return bubble point specific enthalpy"
extends Modelica.Icons.Function;
input SaturationProperties sat "Saturation property record";
output SI.SpecificEnthalpy hl "Boiling curve specific enthalpy";
end bubbleEnthalpy;
replaceable partial function dewEnthalpy
"Return dew point specific enthalpy"
extends Modelica.Icons.Function;
input SaturationProperties sat "Saturation property record";
output SI.SpecificEnthalpy hv "Dew curve specific enthalpy";
end dewEnthalpy;
replaceable partial function bubbleEntropy
"Return bubble point specific entropy"
extends Modelica.Icons.Function;
input SaturationProperties sat "Saturation property record";
output SI.SpecificEntropy sl "Boiling curve specific entropy";
end bubbleEntropy;
replaceable partial function dewEntropy "Return dew point specific entropy"
extends Modelica.Icons.Function;
input SaturationProperties sat "Saturation property record";
output SI.SpecificEntropy sv "Dew curve specific entropy";
end dewEntropy;
replaceable partial function bubbleDensity "Return bubble point density"
extends Modelica.Icons.Function;
input SaturationProperties sat "Saturation property record";
output Density dl "Boiling curve density";
end bubbleDensity;
replaceable partial function dewDensity "Return dew point density"
extends Modelica.Icons.Function;
input SaturationProperties sat "Saturation property record";
output Density dv "Dew curve density";
end dewDensity;
replaceable partial function saturationPressure
"Return saturation pressure"
extends Modelica.Icons.Function;
input Temperature T "Temperature";
output AbsolutePressure p "Saturation pressure";
end saturationPressure;
replaceable partial function saturationTemperature
"Return saturation temperature"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
output Temperature T "Saturation temperature";
end saturationTemperature;
replaceable function saturationPressure_sat "Return saturation pressure"
extends Modelica.Icons.Function;
input SaturationProperties sat "Saturation property record";
output AbsolutePressure p "Saturation pressure";
algorithm
p := sat.psat;
end saturationPressure_sat;
replaceable function saturationTemperature_sat
"Return saturation temperature"
extends Modelica.Icons.Function;
input SaturationProperties sat "Saturation property record";
output Temperature T "Saturation temperature";
algorithm
T := sat.Tsat;
end saturationTemperature_sat;
replaceable partial function saturationTemperature_derp
"Return derivative of saturation temperature w.r.t. pressure"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
output DerTemperatureByPressure dTp
"Derivative of saturation temperature w.r.t. pressure";
end saturationTemperature_derp;
replaceable function saturationTemperature_derp_sat
"Return derivative of saturation temperature w.r.t. pressure"
extends Modelica.Icons.Function;
input SaturationProperties sat "Saturation property record";
output DerTemperatureByPressure dTp
"Derivative of saturation temperature w.r.t. pressure";
algorithm
dTp := saturationTemperature_derp(sat.psat);
end saturationTemperature_derp_sat;
replaceable partial function surfaceTension
"Return surface tension sigma in the two phase region"
extends Modelica.Icons.Function;
input SaturationProperties sat "Saturation property record";
output SurfaceTension sigma
"Surface tension sigma in the two phase region";
end surfaceTension;
redeclare replaceable function extends molarMass
"Return the molar mass of the medium"
algorithm
MM := fluidConstants[1].molarMass;
end molarMass;
replaceable partial function dBubbleDensity_dPressure
"Return bubble point density derivative"
extends Modelica.Icons.Function;
input SaturationProperties sat "Saturation property record";
output DerDensityByPressure ddldp "Boiling curve density derivative";
end dBubbleDensity_dPressure;
replaceable partial function dDewDensity_dPressure
"Return dew point density derivative"
extends Modelica.Icons.Function;
input SaturationProperties sat "Saturation property record";
output DerDensityByPressure ddvdp "Saturated steam density derivative";
end dDewDensity_dPressure;
replaceable partial function dBubbleEnthalpy_dPressure
"Return bubble point specific enthalpy derivative"
extends Modelica.Icons.Function;
input SaturationProperties sat "Saturation property record";
output DerEnthalpyByPressure dhldp
"Boiling curve specific enthalpy derivative";
end dBubbleEnthalpy_dPressure;
replaceable partial function dDewEnthalpy_dPressure
"Return dew point specific enthalpy derivative"
extends Modelica.Icons.Function;
input SaturationProperties sat "Saturation property record";
output DerEnthalpyByPressure dhvdp
"Saturated steam specific enthalpy derivative";
end dDewEnthalpy_dPressure;
redeclare replaceable function specificEnthalpy_pTX
"Return specific enthalpy from pressure, temperature and mass fraction"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
input MassFraction X[:] "Mass fractions";
input FixedPhase phase=0
"2 for two-phase, 1 for one-phase, 0 if not known";
output SpecificEnthalpy h "Specific enthalpy at p, T, X";
algorithm
h := specificEnthalpy(setState_pTX(
p,
T,
X,
phase));
end specificEnthalpy_pTX;
redeclare replaceable function temperature_phX
"Return temperature from p, h, and X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input MassFraction X[:] "Mass fractions";
input FixedPhase phase=0
"2 for two-phase, 1 for one-phase, 0 if not known";
output Temperature T "Temperature";
algorithm
T := temperature(setState_phX(
p,
h,
X,
phase));
end temperature_phX;
redeclare replaceable function density_phX
"Return density from p, h, and X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input MassFraction X[:] "Mass fractions";
input FixedPhase phase=0
"2 for two-phase, 1 for one-phase, 0 if not known";
output Density d "Density";
algorithm
d := density(setState_phX(
p,
h,
X,
phase));
end density_phX;
redeclare replaceable function temperature_psX
"Return temperature from p, s, and X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
input MassFraction X[:] "Mass fractions";
input FixedPhase phase=0
"2 for two-phase, 1 for one-phase, 0 if not known";
output Temperature T "Temperature";
algorithm
T := temperature(setState_psX(
p,
s,
X,
phase));
end temperature_psX;
redeclare replaceable function density_psX
"Return density from p, s, and X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
input MassFraction X[:] "Mass fractions";
input FixedPhase phase=0
"2 for two-phase, 1 for one-phase, 0 if not known";
output Density d "Density";
algorithm
d := density(setState_psX(
p,
s,
X,
phase));
end density_psX;
redeclare replaceable function specificEnthalpy_psX
"Return specific enthalpy from p, s, and X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
input MassFraction X[:] "Mass fractions";
input FixedPhase phase=0
"2 for two-phase, 1 for one-phase, 0 if not known";
output SpecificEnthalpy h "Specific enthalpy";
algorithm
h := specificEnthalpy(setState_psX(
p,
s,
X,
phase));
end specificEnthalpy_psX;
redeclare replaceable function setState_pT
"Return thermodynamic state from p and T"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
input FixedPhase phase=0
"2 for two-phase, 1 for one-phase, 0 if not known";
output ThermodynamicState state "Thermodynamic state record";
algorithm
state := setState_pTX(
p,
T,
fill(0.0, 0),
phase);
end setState_pT;
redeclare replaceable function setState_ph
"Return thermodynamic state from p and h"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input FixedPhase phase=0
"2 for two-phase, 1 for one-phase, 0 if not known";
output ThermodynamicState state "Thermodynamic state record";
algorithm
state := setState_phX(
p,
h,
fill(0.0, 0),
phase);
end setState_ph;
redeclare replaceable function setState_ps
"Return thermodynamic state from p and s"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
input FixedPhase phase=0
"2 for two-phase, 1 for one-phase, 0 if not known";
output ThermodynamicState state "Thermodynamic state record";
algorithm
state := setState_psX(
p,
s,
fill(0.0, 0),
phase);
end setState_ps;
redeclare replaceable function setState_dT
"Return thermodynamic state from d and T"
extends Modelica.Icons.Function;
input Density d "Density";
input Temperature T "Temperature";
input FixedPhase phase=0
"2 for two-phase, 1 for one-phase, 0 if not known";
output ThermodynamicState state "Thermodynamic state record";
algorithm
state := setState_dTX(
d,
T,
fill(0.0, 0),
phase);
end setState_dT;
replaceable function setState_px
"Return thermodynamic state from pressure and vapour quality"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input MassFraction x "Vapour quality";
output ThermodynamicState state "Thermodynamic state record";
algorithm
state := setState_ph(
p,
(1 - x)*bubbleEnthalpy(setSat_p(p)) + x*dewEnthalpy(setSat_p(p)),
2);
end setState_px;
replaceable function setState_Tx
"Return thermodynamic state from temperature and vapour quality"
extends Modelica.Icons.Function;
input Temperature T "Temperature";
input MassFraction x "Vapour quality";
output ThermodynamicState state "Thermodynamic state record";
algorithm
state := setState_ph(
saturationPressure_sat(setSat_T(T)),
(1 - x)*bubbleEnthalpy(setSat_T(T)) + x*dewEnthalpy(setSat_T(T)),
2);
end setState_Tx;
replaceable function vapourQuality "Return vapour quality"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output MassFraction x "Vapour quality";
protected
constant SpecificEnthalpy eps=1e-8;
algorithm
x := min(max((specificEnthalpy(state) - bubbleEnthalpy(setSat_p(pressure(
state))))/(dewEnthalpy(setSat_p(pressure(state))) - bubbleEnthalpy(
setSat_p(pressure(state))) + eps), 0), 1);
end vapourQuality;
redeclare replaceable function density_ph "Return density from p and h"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input FixedPhase phase=0
"2 for two-phase, 1 for one-phase, 0 if not known";
output Density d "Density";
algorithm
d := density_phX(
p,
h,
fill(0.0, 0),
phase);
end density_ph;
redeclare replaceable function temperature_ph
"Return temperature from p and h"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input FixedPhase phase=0
"2 for two-phase, 1 for one-phase, 0 if not known";
output Temperature T "Temperature";
algorithm
T := temperature_phX(
p,
h,
fill(0.0, 0),
phase);
end temperature_ph;
redeclare replaceable function pressure_dT "Return pressure from d and T"
extends Modelica.Icons.Function;
input Density d "Density";
input Temperature T "Temperature";
input FixedPhase phase=0
"2 for two-phase, 1 for one-phase, 0 if not known";
output AbsolutePressure p "Pressure";
algorithm
p := pressure(setState_dTX(
d,
T,
fill(0.0, 0),
phase));
end pressure_dT;
redeclare replaceable function specificEnthalpy_dT
"Return specific enthalpy from d and T"
extends Modelica.Icons.Function;
input Density d "Density";
input Temperature T "Temperature";
input FixedPhase phase=0
"2 for two-phase, 1 for one-phase, 0 if not known";
output SpecificEnthalpy h "Specific enthalpy";
algorithm
h := specificEnthalpy(setState_dTX(
d,
T,
fill(0.0, 0),
phase));
end specificEnthalpy_dT;
redeclare replaceable function specificEnthalpy_ps
"Return specific enthalpy from p and s"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
input FixedPhase phase=0
"2 for two-phase, 1 for one-phase, 0 if not known";
output SpecificEnthalpy h "Specific enthalpy";
algorithm
h := specificEnthalpy_psX(
p,
s,
fill(0.0, 0));
end specificEnthalpy_ps;
redeclare replaceable function temperature_ps
"Return temperature from p and s"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
input FixedPhase phase=0
"2 for two-phase, 1 for one-phase, 0 if not known";
output Temperature T "Temperature";
algorithm
T := temperature_psX(
p,
s,
fill(0.0, 0),
phase);
end temperature_ps;
redeclare replaceable function density_ps "Return density from p and s"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
input FixedPhase phase=0
"2 for two-phase, 1 for one-phase, 0 if not known";
output Density d "Density";
algorithm
d := density_psX(
p,
s,
fill(0.0, 0),
phase);
end density_ps;
redeclare replaceable function specificEnthalpy_pT
"Return specific enthalpy from p and T"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
input FixedPhase phase=0
"2 for two-phase, 1 for one-phase, 0 if not known";
output SpecificEnthalpy h "Specific enthalpy";
algorithm
h := specificEnthalpy_pTX(
p,
T,
fill(0.0, 0),
phase);
end specificEnthalpy_pT;
redeclare replaceable function density_pT "Return density from p and T"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
input FixedPhase phase=0
"2 for two-phase, 1 for one-phase, 0 if not known";
output Density d "Density";
algorithm
d := density(setState_pTX(
p,
T,
fill(0.0, 0),
phase));
end density_pT;
end PartialTwoPhaseMedium;
partial package PartialSimpleMedium
"Medium model with linear dependency of u, h from temperature. All other quantities, especially density, are constant."
extends Interfaces.PartialPureSubstance(final ThermoStates=Modelica.Media.Interfaces.Choices.IndependentVariables.pT,
final singleState=true);
constant SpecificHeatCapacity cp_const
"Constant specific heat capacity at constant pressure";
constant SpecificHeatCapacity cv_const
"Constant specific heat capacity at constant volume";
constant Density d_const "Constant density";
constant DynamicViscosity eta_const "Constant dynamic viscosity";
constant ThermalConductivity lambda_const "Constant thermal conductivity";
constant VelocityOfSound a_const "Constant velocity of sound";
constant Temperature T_min "Minimum temperature valid for medium model";
constant Temperature T_max "Maximum temperature valid for medium model";
constant Temperature T0=reference_T "Zero enthalpy temperature";
constant MolarMass MM_const "Molar mass";
constant FluidConstants[nS] fluidConstants "Fluid constants";
redeclare record extends ThermodynamicState "Thermodynamic state"
AbsolutePressure p "Absolute pressure of medium";
Temperature T "Temperature of medium";
end ThermodynamicState;
redeclare replaceable model extends BaseProperties(T(stateSelect=if
preferredMediumStates then StateSelect.prefer else StateSelect.default),
p(stateSelect=if preferredMediumStates then StateSelect.prefer else
StateSelect.default)) "Base properties"
equation
assert(T >= T_min and T <= T_max, "
Temperature T (= " + String(T) + " K) is not
in the allowed range (" + String(T_min) + " K <= T <= " + String(T_max) + " K)
required from medium model \"" + mediumName + "\".
");
// h = cp_const*(T-T0);
h = specificEnthalpy_pTX(
p,
T,
X);
u = cv_const*(T - T0);
d = d_const;
R_s = 0;
MM = MM_const;
state.T = T;
state.p = p;
end BaseProperties;
redeclare function setState_pTX
"Return thermodynamic state from p, T, and X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
input MassFraction X[:]=reference_X "Mass fractions";
output ThermodynamicState state "Thermodynamic state record";
algorithm
state := ThermodynamicState(p=p, T=T);
end setState_pTX;
redeclare function setState_phX
"Return thermodynamic state from p, h, and X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input MassFraction X[:]=reference_X "Mass fractions";
output ThermodynamicState state "Thermodynamic state record";
algorithm
state := ThermodynamicState(p=p, T=T0 + h/cp_const);
end setState_phX;
redeclare replaceable function setState_psX
"Return thermodynamic state from p, s, and X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
input MassFraction X[:]=reference_X "Mass fractions";
output ThermodynamicState state "Thermodynamic state record";
algorithm
state := ThermodynamicState(p=p, T=Modelica.Math.exp(s/cp_const +
Modelica.Math.log(reference_T)))
"Here the incompressible limit is used, with cp as heat capacity";
end setState_psX;
redeclare function setState_dTX
"Return thermodynamic state from d, T, and X or Xi"
extends Modelica.Icons.Function;
input Density d "Density";
input Temperature T "Temperature";
input MassFraction X[:]=reference_X "Mass fractions";
output ThermodynamicState state "Thermodynamic state record";
algorithm
assert(false,
"Pressure can not be computed from temperature and density for an incompressible fluid!");
end setState_dTX;
redeclare function extends setSmoothState
"Return thermodynamic state so that it smoothly approximates: if x > 0 then state_a else state_b"
algorithm
state := ThermodynamicState(p=Media.Common.smoothStep(
x,
state_a.p,
state_b.p,
x_small), T=Media.Common.smoothStep(
x,
state_a.T,
state_b.T,
x_small));
end setSmoothState;
redeclare function extends dynamicViscosity "Return dynamic viscosity"
algorithm
eta := eta_const;
end dynamicViscosity;
redeclare function extends thermalConductivity
"Return thermal conductivity"
algorithm
lambda := lambda_const;
end thermalConductivity;
redeclare function extends pressure "Return pressure"
algorithm
p := state.p;
end pressure;
redeclare function extends temperature "Return temperature"
algorithm
T := state.T;
end temperature;
redeclare function extends density "Return density"
algorithm
d := d_const;
end density;
redeclare function extends specificEnthalpy "Return specific enthalpy"
algorithm
h := cp_const*(state.T - T0);
end specificEnthalpy;
redeclare function extends specificHeatCapacityCp
"Return specific heat capacity at constant pressure"
algorithm
cp := cp_const;
end specificHeatCapacityCp;
redeclare function extends specificHeatCapacityCv
"Return specific heat capacity at constant volume"
algorithm
cv := cv_const;
end specificHeatCapacityCv;
redeclare function extends isentropicExponent "Return isentropic exponent"
algorithm
gamma := cp_const/cv_const;
end isentropicExponent;
redeclare function extends velocityOfSound "Return velocity of sound"
algorithm
a := a_const;
end velocityOfSound;
redeclare function specificEnthalpy_pTX
"Return specific enthalpy from p, T, and X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
input MassFraction X[:] "Mass fractions";
output SpecificEnthalpy h "Specific enthalpy";
algorithm
h := cp_const*(T - T0);
end specificEnthalpy_pTX;
redeclare function temperature_phX
"Return temperature from p, h, and X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input MassFraction X[:] "Mass fractions";
output Temperature T "Temperature";
algorithm
T := T0 + h/cp_const;
end temperature_phX;
redeclare function density_phX "Return density from p, h, and X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input MassFraction X[:] "Mass fractions";
output Density d "Density";
algorithm
d := density(setState_phX(
p,
h,
X));
end density_phX;
redeclare function extends specificInternalEnergy
"Return specific internal energy"
extends Modelica.Icons.Function;
algorithm
// u := cv_const*(state.T - T0) - reference_p/d_const;
u := cv_const*(state.T - T0);
end specificInternalEnergy;
redeclare function extends specificEntropy "Return specific entropy"
extends Modelica.Icons.Function;
algorithm
s := cv_const*Modelica.Math.log(state.T/T0);
end specificEntropy;
redeclare function extends specificGibbsEnergy
"Return specific Gibbs energy"
extends Modelica.Icons.Function;
algorithm
g := specificEnthalpy(state) - state.T*specificEntropy(state);
end specificGibbsEnergy;
redeclare function extends specificHelmholtzEnergy
"Return specific Helmholtz energy"
extends Modelica.Icons.Function;
algorithm
f := specificInternalEnergy(state) - state.T*specificEntropy(state);
end specificHelmholtzEnergy;
redeclare function extends isentropicEnthalpy "Return isentropic enthalpy"
algorithm
h_is := cp_const*(temperature(refState) - T0);
end isentropicEnthalpy;
redeclare function extends isobaricExpansionCoefficient
"Returns overall the isobaric expansion coefficient beta"
algorithm
beta := 0.0;
end isobaricExpansionCoefficient;
redeclare function extends isothermalCompressibility
"Returns overall the isothermal compressibility factor"
algorithm
kappa := 0;
end isothermalCompressibility;
redeclare function extends density_derp_T
"Returns the partial derivative of density with respect to pressure at constant temperature"
algorithm
ddpT := 0;
end density_derp_T;
redeclare function extends density_derT_p
"Returns the partial derivative of density with respect to temperature at constant pressure"
algorithm
ddTp := 0;
end density_derT_p;
redeclare function extends density_derX
"Returns the partial derivative of density with respect to mass fractions at constant pressure and temperature"
algorithm
dddX := fill(0, nX);
end density_derX;
redeclare function extends molarMass "Return the molar mass of the medium"
algorithm
MM := MM_const;
end molarMass;
end PartialSimpleMedium;
partial package PartialSimpleIdealGasMedium
"Medium model of Ideal gas with constant cp and cv. All other quantities, e.g., transport properties, are constant."
extends Interfaces.PartialPureSubstance(
redeclare replaceable record FluidConstants =
Modelica.Media.Interfaces.Types.Basic.FluidConstants,
ThermoStates=Modelica.Media.Interfaces.Choices.IndependentVariables.pT,
final singleState=false);
constant SpecificHeatCapacity cp_const
"Constant specific heat capacity at constant pressure";
constant SpecificHeatCapacity cv_const=cp_const - R_gas
"Constant specific heat capacity at constant volume";
constant SpecificHeatCapacity R_gas "Medium specific gas constant";
constant MolarMass MM_const "Molar mass";
constant DynamicViscosity eta_const "Constant dynamic viscosity";
constant ThermalConductivity lambda_const "Constant thermal conductivity";
constant Temperature T_min "Minimum temperature valid for medium model";
constant Temperature T_max "Maximum temperature valid for medium model";
constant Temperature T0=reference_T "Zero enthalpy temperature";
constant FluidConstants[nS] fluidConstants "Fluid constants";
redeclare record extends ThermodynamicState
"Thermodynamic state of ideal gas"
AbsolutePressure p "Absolute pressure of medium";
Temperature T "Temperature of medium";
end ThermodynamicState;
redeclare replaceable model extends BaseProperties(T(stateSelect=if
preferredMediumStates then StateSelect.prefer else StateSelect.default),
p(stateSelect=if preferredMediumStates then StateSelect.prefer else
StateSelect.default)) "Base properties of ideal gas"
equation
assert(T >= T_min and T <= T_max, "
Temperature T (= " + String(T) + " K) is not
in the allowed range (" + String(T_min) + " K <= T <= " + String(T_max) + " K)
required from medium model \"" + mediumName + "\".
");
h = specificEnthalpy_pTX(
p,
T,
X);
u = h - R_s*T;
R_s = R_gas;
d = p/(R_s*T);
MM = MM_const;
state.T = T;
state.p = p;
end BaseProperties;
redeclare function setState_pTX
"Return thermodynamic state from p, T, and X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
input MassFraction X[:]=reference_X "Mass fractions";
output ThermodynamicState state "Thermodynamic state record";
algorithm
state := ThermodynamicState(p=p, T=T);
end setState_pTX;
redeclare function setState_phX
"Return thermodynamic state from p, h, and X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input MassFraction X[:]=reference_X "Mass fractions";
output ThermodynamicState state "Thermodynamic state record";
algorithm
state := ThermodynamicState(p=p, T=T0 + h/cp_const);
end setState_phX;
redeclare replaceable function setState_psX
"Return thermodynamic state from p, s, and X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
input MassFraction X[:]=reference_X "Mass fractions";
output ThermodynamicState state "Thermodynamic state record";
algorithm
state := ThermodynamicState(p=p, T=Modelica.Math.exp(s/cp_const +
Modelica.Math.log(reference_T) + R_gas*Modelica.Math.log(p/reference_p)));
end setState_psX;
redeclare function setState_dTX
"Return thermodynamic state from d, T, and X or Xi"
extends Modelica.Icons.Function;
input Density d "Density";
input Temperature T "Temperature";
input MassFraction X[:]=reference_X "Mass fractions";
output ThermodynamicState state "Thermodynamic state record";
algorithm
state := ThermodynamicState(p=d*R_gas*T, T=T);
end setState_dTX;
redeclare function extends setSmoothState
"Return thermodynamic state so that it smoothly approximates: if x > 0 then state_a else state_b"
algorithm
state := ThermodynamicState(p=Media.Common.smoothStep(
x,
state_a.p,
state_b.p,
x_small), T=Media.Common.smoothStep(
x,
state_a.T,
state_b.T,
x_small));
end setSmoothState;
redeclare function extends pressure "Return pressure of ideal gas"
algorithm
p := state.p;
end pressure;
redeclare function extends temperature "Return temperature of ideal gas"
algorithm
T := state.T;
end temperature;
redeclare function extends density "Return density of ideal gas"
algorithm
d := state.p/(R_gas*state.T);
end density;
redeclare function extends specificEnthalpy "Return specific enthalpy"
extends Modelica.Icons.Function;
algorithm
h := cp_const*(state.T - T0);
end specificEnthalpy;
redeclare function extends specificInternalEnergy
"Return specific internal energy"
extends Modelica.Icons.Function;
algorithm
u := cp_const*(state.T - T0) - R_gas*state.T;
end specificInternalEnergy;
redeclare function extends specificEntropy "Return specific entropy"
extends Modelica.Icons.Function;
algorithm
s := cp_const*Modelica.Math.log(state.T/T0) - R_gas*Modelica.Math.log(
state.p/reference_p);
end specificEntropy;
redeclare function extends specificGibbsEnergy
"Return specific Gibbs energy"
extends Modelica.Icons.Function;
algorithm
g := cp_const*(state.T - T0) - state.T*specificEntropy(state);
end specificGibbsEnergy;
redeclare function extends specificHelmholtzEnergy
"Return specific Helmholtz energy"
extends Modelica.Icons.Function;
algorithm
f := specificInternalEnergy(state) - state.T*specificEntropy(state);
end specificHelmholtzEnergy;
redeclare function extends dynamicViscosity "Return dynamic viscosity"
algorithm
eta := eta_const;
end dynamicViscosity;
redeclare function extends thermalConductivity
"Return thermal conductivity"
algorithm
lambda := lambda_const;
end thermalConductivity;
redeclare function extends specificHeatCapacityCp
"Return specific heat capacity at constant pressure"
algorithm
cp := cp_const;
end specificHeatCapacityCp;
redeclare function extends specificHeatCapacityCv
"Return specific heat capacity at constant volume"
algorithm
cv := cv_const;
end specificHeatCapacityCv;
redeclare function extends isentropicExponent "Return isentropic exponent"
algorithm
gamma := cp_const/cv_const;
end isentropicExponent;
redeclare function extends velocityOfSound "Return velocity of sound"
algorithm
a := sqrt(cp_const/cv_const*R_gas*state.T);
end velocityOfSound;
redeclare function specificEnthalpy_pTX
"Return specific enthalpy from p, T, and X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
input MassFraction X[:] "Mass fractions";
output SpecificEnthalpy h "Specific enthalpy at p, T, X";
algorithm
h := cp_const*(T - T0);
end specificEnthalpy_pTX;
redeclare function temperature_phX
"Return temperature from p, h, and X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input MassFraction X[:] "Mass fractions";
output Temperature T "Temperature";
algorithm
T := h/cp_const + T0;
end temperature_phX;
redeclare function density_phX "Return density from p, h, and X or Xi"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input MassFraction X[:] "Mass fractions";
output Density d "Density";
algorithm
d := density(setState_phX(
p,
h,
X));
end density_phX;
redeclare function extends isentropicEnthalpy "Return isentropic enthalpy"
algorithm
/* s = cp_const*log(refState.T/T0) - R_gas*log(refState.p/reference_p)
= cp_const*log(state.T/T0) - R_gas*log(p_downstream/reference_p)
log(state.T) = log(refState.T) +
(R_gas/cp_const)*(log(p_downstream/reference_p) - log(refState.p/reference_p))
= log(refState.T) + (R_gas/cp_const)*log(p_downstream/refState.p)
= log(refState.T) + log( (p_downstream/refState.p)^(R_gas/cp_const) )
= log( refState.T*(p_downstream/refState.p)^(R_gas/cp_const) )
state.T = refstate.T*(p_downstream/refstate.p)^(R_gas/cp_const)
*/
h_is := cp_const*(refState.T*(p_downstream/refState.p)^(R_gas/cp_const)
- T0);
end isentropicEnthalpy;
redeclare function extends isobaricExpansionCoefficient
"Returns overall the isobaric expansion coefficient beta"
algorithm
/* beta = 1/v * der(v,T), with v = 1/d, at constant pressure p:
v = R_s*T/p
der(v,T) = R_s/p
beta = p/(R_s*T)*R_s/p
= 1/T
*/
beta := 1/state.T;
end isobaricExpansionCoefficient;
redeclare function extends isothermalCompressibility
"Returns overall the isothermal compressibility factor"
algorithm
/* kappa = - 1/v * der(v,p), with v = 1/d at constant temperature T.
v = R_s*T/p
der(v,T) = -R_s*T/p^2
kappa = p/(R_s*T)*R_s*T/p^2
= 1/p
*/
kappa := 1/state.p;
end isothermalCompressibility;
redeclare function extends density_derp_T
"Returns the partial derivative of density with respect to pressure at constant temperature"
algorithm
/* d = p/(R_s*T)
ddpT = 1/(R_s*T)
*/
ddpT := 1/(R_gas*state.T);
end density_derp_T;
redeclare function extends density_derT_p
"Returns the partial derivative of density with respect to temperature at constant pressure"
algorithm
/* d = p/(R_s*T)
ddpT = -p/(R_s*T^2)
*/
ddTp := -state.p/(R_gas*state.T*state.T);
end density_derT_p;
redeclare function extends density_derX
"Returns the partial derivative of density with respect to mass fractions at constant pressure and temperature"
algorithm
dddX := fill(0, nX);
end density_derX;
redeclare function extends molarMass "Returns the molar mass of the medium"
algorithm
MM := MM_const;
end molarMass;
end PartialSimpleIdealGasMedium;
package Choices "Types, constants to define menu choices"
extends Modelica.Icons.Package;
type IndependentVariables = enumeration(
T "Temperature",
pT "Pressure, Temperature",
ph "Pressure, Specific Enthalpy",
phX "Pressure, Specific Enthalpy, Mass Fraction",
pTX "Pressure, Temperature, Mass Fractions",
dTX "Density, Temperature, Mass Fractions")
"Enumeration defining the independent variables of a medium";
type Init = enumeration(
NoInit "NoInit (no initialization)",
InitialStates "InitialStates (initialize medium states)",
SteadyState "SteadyState (initialize in steady state)",
SteadyMass
"SteadyMass (initialize density or pressure in steady state)")
"Enumeration defining initialization for fluid flow"
type ReferenceEnthalpy = enumeration(
ZeroAt0K
"The enthalpy is 0 at 0 K (default), if the enthalpy of formation is excluded",
ZeroAt25C
"The enthalpy is 0 at 25 degC, if the enthalpy of formation is excluded",
UserDefined
"The user-defined reference enthalpy is used at 293.15 K (25 degC)")
"Enumeration defining the reference enthalpy of a medium"
type ReferenceEntropy = enumeration(
ZeroAt0K "The entropy is 0 at 0 K (default)",
ZeroAt0C "The entropy is 0 at 0 degC",
UserDefined
"The user-defined reference entropy is used at 293.15 K (25 degC)")
"Enumeration defining the reference entropy of a medium"
type pd = enumeration(
default "Default (no boundary condition for p or d)",
p_known "p_known (pressure p is known)",
d_known "d_known (density d is known)")
"Enumeration defining whether p or d are known for the boundary condition"
type Th = enumeration(
default "Default (no boundary condition for T or h)",
T_known "T_known (temperature T is known)",
h_known "h_known (specific enthalpy h is known)")
"Enumeration defining whether T or h are known as boundary condition"
end Choices;
package Types "Types to be used in fluid models"
extends Modelica.Icons.Package;
type AbsolutePressure = SI.AbsolutePressure (
min=0,
max=1.e8,
nominal=1.e5,
start=1.e5)
"Type for absolute pressure with medium specific attributes";
type Density = SI.Density (
min=0,
max=1.e5,
nominal=1,
start=1) "Type for density with medium specific attributes";
type DynamicViscosity = SI.DynamicViscosity (
min=0,
max=1.e8,
nominal=1.e-3,
start=1.e-3)
"Type for dynamic viscosity with medium specific attributes";
type EnthalpyFlowRate = SI.EnthalpyFlowRate (
nominal=1000.0,
min=-1.0e8,
max=1.e8) "Type for enthalpy flow rate with medium specific attributes";
type MassFraction = Real (
quantity="MassFraction",
final unit="kg/kg",
min=0,
max=1,
nominal=0.1) "Type for mass fraction with medium specific attributes";
type MoleFraction = Real (
quantity="MoleFraction",
final unit="mol/mol",
min=0,
max=1,
nominal=0.1) "Type for mole fraction with medium specific attributes";
type MolarMass = SI.MolarMass (
min=0.001,
max=0.25,
nominal=0.032) "Type for molar mass with medium specific attributes";
type MolarVolume = SI.MolarVolume (
min=1e-6,
max=1.0e6,
nominal=1.0) "Type for molar volume with medium specific attributes";
type IsentropicExponent = SI.RatioOfSpecificHeatCapacities (
min=1,
max=500000,
nominal=1.2,
start=1.2)
"Type for isentropic exponent with medium specific attributes";
type SpecificEnergy = SI.SpecificEnergy (
min=-1.0e8,
max=1.e8,
nominal=1.e6)
"Type for specific energy with medium specific attributes";
type SpecificInternalEnergy = SpecificEnergy
"Type for specific internal energy with medium specific attributes";
type SpecificEnthalpy = SI.SpecificEnthalpy (
min=-1.0e10,
max=1.e10,
nominal=1.e6)
"Type for specific enthalpy with medium specific attributes";
type SpecificEntropy = SI.SpecificEntropy (
min=-1.e7,
max=1.e7,
nominal=1.e3)
"Type for specific entropy with medium specific attributes";
type SpecificHeatCapacity = SI.SpecificHeatCapacity (
min=0,
max=1.e7,
nominal=1.e3,
start=1.e3)
"Type for specific heat capacity with medium specific attributes";
type SurfaceTension = SI.SurfaceTension
"Type for surface tension with medium specific attributes";
type Temperature = SI.Temperature (
min=1,
max=1.e4,
nominal=300,
start=288.15) "Type for temperature with medium specific attributes";
type ThermalConductivity = SI.ThermalConductivity (
min=0,
max=500,
nominal=1,
start=1)
"Type for thermal conductivity with medium specific attributes";
type PrandtlNumber = SI.PrandtlNumber (
min=1e-3,
max=1e5,
nominal=1.0) "Type for Prandtl number with medium specific attributes";
type VelocityOfSound = SI.Velocity (
min=0,
max=1.e5,
nominal=1000,
start=1000)
"Type for velocity of sound with medium specific attributes";
type ExtraProperty = Real (min=0.0, start=1.0)
"Type for unspecified, mass-specific property transported by flow";
type CumulativeExtraProperty = Real (min=0.0, start=1.0)
"Type for conserved integral of unspecified, mass specific property";
type ExtraPropertyFlowRate = Real (unit="kg/s")
"Type for flow rate of unspecified, mass-specific property";
type IsobaricExpansionCoefficient = Real (
min=0,
max=1.0e8,
unit="1/K")
"Type for isobaric expansion coefficient with medium specific attributes";
type DipoleMoment = Real (
min=0.0,
max=2.0,
unit="debye",
quantity="ElectricDipoleMoment")
"Type for dipole moment with medium specific attributes";
type DerDensityByPressure = SI.DerDensityByPressure
"Type for partial derivative of density with respect to pressure with medium specific attributes";
type DerDensityByEnthalpy = SI.DerDensityByEnthalpy
"Type for partial derivative of density with respect to enthalpy with medium specific attributes";
type DerEnthalpyByPressure = SI.DerEnthalpyByPressure
"Type for partial derivative of enthalpy with respect to pressure with medium specific attributes";
type DerDensityByTemperature = SI.DerDensityByTemperature
"Type for partial derivative of density with respect to temperature with medium specific attributes";
type DerTemperatureByPressure = Real (final unit="K/Pa")
"Type for partial derivative of temperature with respect to pressure with medium specific attributes";
replaceable record SaturationProperties
"Saturation properties of two phase medium"
extends Modelica.Icons.Record;
AbsolutePressure psat "Saturation pressure";
Temperature Tsat "Saturation temperature";
end SaturationProperties;
record FluidLimits "Validity limits for fluid model"
extends Modelica.Icons.Record;
Temperature TMIN "Minimum temperature";
Temperature TMAX "Maximum temperature";
Density DMIN "Minimum density";
Density DMAX "Maximum density";
AbsolutePressure PMIN "Minimum pressure";
AbsolutePressure PMAX "Maximum pressure";
SpecificEnthalpy HMIN "Minimum enthalpy";
SpecificEnthalpy HMAX "Maximum enthalpy";
SpecificEntropy SMIN "Minimum entropy";
SpecificEntropy SMAX "Maximum entropy";
end FluidLimits;
type FixedPhase = Integer (min=0, max=2)
"Phase of the fluid: 1 for 1-phase, 2 for two-phase, 0 for not known, e.g., interactive use";
package Basic
"The most basic version of a record used in several degrees of detail"
extends Icons.Package;
record FluidConstants
"Critical, triple, molecular and other standard data of fluid"
extends Modelica.Icons.Record;
String iupacName
"Complete IUPAC name (or common name, if non-existent)";
String casRegistryNumber
"Chemical abstracts sequencing number (if it exists)";
String chemicalFormula
"Chemical formula, (brutto, nomenclature according to Hill";
String structureFormula "Chemical structure formula";
MolarMass molarMass "Molar mass";
end FluidConstants;
end Basic;
package IdealGas
"The ideal gas version of a record used in several degrees of detail"
extends Icons.Package;
record FluidConstants "Extended fluid constants"
extends Modelica.Media.Interfaces.Types.Basic.FluidConstants;
Temperature criticalTemperature "Critical temperature";
AbsolutePressure criticalPressure "Critical pressure";
MolarVolume criticalMolarVolume "Critical molar Volume";
Real acentricFactor "Pitzer acentric factor";
// Temperature triplePointTemperature "Triple point temperature";
// AbsolutePressure triplePointPressure "Triple point pressure";
Temperature meltingPoint "Melting point at 101325 Pa";
Temperature normalBoilingPoint "Normal boiling point (at 101325 Pa)";
DipoleMoment dipoleMoment
"Dipole moment of molecule in Debye (1 debye = 3.33564e10-30 C.m)";
Boolean hasIdealGasHeatCapacity=false
"= true, if ideal gas heat capacity is available";
Boolean hasCriticalData=false "= true, if critical data are known";
Boolean hasDipoleMoment=false "= true, if a dipole moment known";
Boolean hasFundamentalEquation=false "= true, if a fundamental equation";
Boolean hasLiquidHeatCapacity=false
"= true, if liquid heat capacity is available";
Boolean hasSolidHeatCapacity=false
"= true, if solid heat capacity is available";
Boolean hasAccurateViscosityData=false
"= true, if accurate data for a viscosity function is available";
Boolean hasAccurateConductivityData=false
"= true, if accurate data for thermal conductivity is available";
Boolean hasVapourPressureCurve=false
"= true, if vapour pressure data, e.g., Antoine coefficients are known";
Boolean hasAcentricFactor=false
"= true, if Pitzer acentric factor is known";
SpecificEnthalpy HCRIT0=0.0
"Critical specific enthalpy of the fundamental equation";
SpecificEntropy SCRIT0=0.0
"Critical specific entropy of the fundamental equation";
SpecificEnthalpy deltah=0.0
"Difference between specific enthalpy model (h_m) and f.eq. (h_f) (h_m - h_f)";
SpecificEntropy deltas=0.0
"Difference between specific enthalpy model (s_m) and f.eq. (s_f) (s_m - s_f)";
end FluidConstants;
end IdealGas;
package TwoPhase
"The two phase fluid version of a record used in several degrees of detail"
extends Icons.Package;
record FluidConstants "Extended fluid constants"
extends Modelica.Media.Interfaces.Types.Basic.FluidConstants;
Temperature criticalTemperature "Critical temperature";
AbsolutePressure criticalPressure "Critical pressure";
MolarVolume criticalMolarVolume "Critical molar Volume";
Real acentricFactor "Pitzer acentric factor";
Temperature triplePointTemperature "Triple point temperature";
AbsolutePressure triplePointPressure "Triple point pressure";
Temperature meltingPoint "Melting point at 101325 Pa";
Temperature normalBoilingPoint "Normal boiling point (at 101325 Pa)";
DipoleMoment dipoleMoment
"Dipole moment of molecule in Debye (1 debye = 3.33564e10-30 C.m)";
Boolean hasIdealGasHeatCapacity=false
"= true, if ideal gas heat capacity is available";
Boolean hasCriticalData=false "= true, if critical data are known";
Boolean hasDipoleMoment=false "= true, if a dipole moment known";
Boolean hasFundamentalEquation=false "= true, if a fundamental equation";
Boolean hasLiquidHeatCapacity=false
"= true, if liquid heat capacity is available";
Boolean hasSolidHeatCapacity=false
"= true, if solid heat capacity is available";
Boolean hasAccurateViscosityData=false
"= true, if accurate data for a viscosity function is available";
Boolean hasAccurateConductivityData=false
"= true, if accurate data for thermal conductivity is available";
Boolean hasVapourPressureCurve=false
"= true, if vapour pressure data, e.g., Antoine coefficients are known";
Boolean hasAcentricFactor=false
"= true, if Pitzer acentric factor is known";
SpecificEnthalpy HCRIT0=0.0
"Critical specific enthalpy of the fundamental equation";
SpecificEntropy SCRIT0=0.0
"Critical specific entropy of the fundamental equation";
SpecificEnthalpy deltah=0.0
"Difference between specific enthalpy model (h_m) and f.eq. (h_f) (h_m - h_f)";
SpecificEntropy deltas=0.0
"Difference between specific enthalpy model (s_m) and f.eq. (s_f) (s_m - s_f)";
end FluidConstants;
end TwoPhase;
end Types;
end Interfaces;
package Common "Data structures and fundamental functions for fluid properties"
extends Modelica.Icons.Package;
type Rate = Real (final quantity="Rate", final unit="s-1");
type MolarFlowRate = Real (final quantity="MolarFlowRate", final unit="mol/s");
type MolarReactionRate = Real (final quantity="MolarReactionRate", final unit=
"mol/(m3.s)");
type MolarEnthalpy = Real (final quantity="MolarEnthalpy", final unit="J/mol");
type DerDensityByEntropy = Real (final quantity="DerDensityByEntropy", final
unit="kg2.K/(m3.J)");
type DerEnergyByPressure = Real (final quantity="DerEnergyByPressure", final
unit="J/Pa");
type DerEnergyByMoles = Real (final quantity="DerEnergyByMoles", final unit=
"J/mol");
type DerEntropyByTemperature = Real (final quantity="DerEntropyByTemperature",
final unit="J/K2");
type DerEntropyByPressure = Real (final quantity="DerEntropyByPressure",
final unit="J/(K.Pa)");
type DerEntropyByMoles = Real (final quantity="DerEntropyByMoles", final unit=
"J/(mol.K)");
type DerPressureByDensity = Real (final quantity="DerPressureByDensity",
final unit="Pa.m3/kg");
type DerPressureBySpecificVolume = Real (final quantity=
"DerPressureBySpecificVolume", final unit="Pa.kg/m3");
type DerPressureByTemperature = Real (final quantity=
"DerPressureByTemperature", final unit="Pa/K");
type DerVolumeByTemperature = Real (final quantity="DerVolumeByTemperature",
final unit="m3/K");
type DerVolumeByPressure = Real (final quantity="DerVolumeByPressure", final
unit="m3/Pa");
type DerVolumeByMoles = Real (final quantity="DerVolumeByMoles", final unit=
"m3/mol");
type IsenthalpicExponent = Real (final quantity="IsenthalpicExponent", unit=
"1");
type IsentropicExponent = Real (final quantity="IsentropicExponent", unit="1");
type IsobaricVolumeExpansionCoefficient = Real (final quantity=
"IsobaricVolumeExpansionCoefficient", unit="1/K");
type IsochoricPressureCoefficient = Real (final quantity=
"IsochoricPressureCoefficient", unit="1/K");
type IsothermalCompressibility = Real (final quantity=
"IsothermalCompressibility", unit="1/Pa");
type JouleThomsonCoefficient = Real (final quantity="JouleThomsonCoefficient",
unit="K/Pa");
// introduce min-manx-nominal values
constant Real MINPOS=1.0e-9
"Minimal value for physical variables which are always > 0.0";
constant SI.Area AMIN=MINPOS "Minimal init area";
constant SI.Area AMAX=1.0e5 "Maximal init area";
constant SI.Area ANOM=1.0 "Nominal init area";
constant SI.AmountOfSubstance MOLMIN=-1.0*MINPOS "Minimal Mole Number";
constant SI.AmountOfSubstance MOLMAX=1.0e8 "Maximal Mole Number";
constant SI.AmountOfSubstance MOLNOM=1.0 "Nominal Mole Number";
constant SI.Density DMIN=1e-6 "Minimal init density";
constant SI.Density DMAX=30.0e3 "Maximal init density";
constant SI.Density DNOM=1.0 "Nominal init density";
constant SI.ThermalConductivity LAMMIN=MINPOS "Minimal thermal conductivity";
constant SI.ThermalConductivity LAMNOM=1.0 "Nominal thermal conductivity";
constant SI.ThermalConductivity LAMMAX=1000.0 "Maximal thermal conductivity";
constant SI.DynamicViscosity ETAMIN=MINPOS "Minimal init dynamic viscosity";
constant SI.DynamicViscosity ETAMAX=1.0e8 "Maximal init dynamic viscosity";
constant SI.DynamicViscosity ETANOM=100.0 "Nominal init dynamic viscosity";
constant SI.Energy EMIN=-1.0e10 "Minimal init energy";
constant SI.Energy EMAX=1.0e10 "Maximal init energy";
constant SI.Energy ENOM=1.0e3 "Nominal init energy";
constant SI.Entropy SMIN=-1.0e6 "Minimal init entropy";
constant SI.Entropy SMAX=1.0e6 "Maximal init entropy";
constant SI.Entropy SNOM=1.0e3 "Nominal init entropy";
constant SI.MassFlowRate MDOTMIN=-1.0e5 "Minimal init mass flow rate";
constant SI.MassFlowRate MDOTMAX=1.0e5 "Maximal init mass flow rate";
constant SI.MassFlowRate MDOTNOM=1.0 "Nominal init mass flow rate";
constant SI.MassFraction MASSXMIN=-1.0*MINPOS "Minimal init mass fraction";
constant SI.MassFraction MASSXMAX=1.0 "Maximal init mass fraction";
constant SI.MassFraction MASSXNOM=0.1 "Nominal init mass fraction";
constant SI.Mass MMIN=-1.0*MINPOS "Minimal init mass";
constant SI.Mass MMAX=1.0e8 "Maximal init mass";
constant SI.Mass MNOM=1.0 "Nominal init mass";
constant SI.MolarMass MMMIN=0.001 "Minimal initial molar mass";
constant SI.MolarMass MMMAX=250.0 "Maximal initial molar mass";
constant SI.MolarMass MMNOM=0.2 "Nominal initial molar mass";
constant SI.MoleFraction MOLEYMIN=-1.0*MINPOS "Minimal init mole fraction";
constant SI.MoleFraction MOLEYMAX=1.0 "Maximal init mole fraction";
constant SI.MoleFraction MOLEYNOM=0.1 "Nominal init mole fraction";
constant SI.MomentumFlux GMIN=-1.0e8 "Minimal init momentum flux";
constant SI.MomentumFlux GMAX=1.0e8 "Maximal init momentum flux";
constant SI.MomentumFlux GNOM=1.0 "Nominal init momentum flux";
constant SI.Power POWMIN=-1.0e8 "Minimal init power or heat";
constant SI.Power POWMAX=1.0e8 "Maximal init power or heat";
constant SI.Power POWNOM=1.0e3 "Nominal init power or heat";
constant SI.Pressure PMIN=1.0e4 "Minimal init pressure";
constant SI.Pressure PMAX=1.0e8 "Maximal init pressure";
constant SI.Pressure PNOM=1.0e5 "Nominal init pressure";
constant SI.Pressure COMPPMIN=-1.0*MINPOS "Minimal init pressure";
constant SI.Pressure COMPPMAX=1.0e8 "Maximal init pressure";
constant SI.Pressure COMPPNOM=1.0e5 "Nominal init pressure";
constant SI.RatioOfSpecificHeatCapacities KAPPAMIN=1.0
"Minimal init isentropic exponent";
constant SI.RatioOfSpecificHeatCapacities KAPPAMAX=1.7
"Maximal init isentropic exponent";
constant SI.RatioOfSpecificHeatCapacities KAPPANOM=1.2
"Nominal init isentropic exponent";
constant SI.SpecificEnergy SEMIN=-1.0e8 "Minimal init specific energy";
constant SI.SpecificEnergy SEMAX=1.0e8 "Maximal init specific energy";
constant SI.SpecificEnergy SENOM=1.0e6 "Nominal init specific energy";
constant SI.SpecificEnthalpy SHMIN=-1.0e8 "Minimal init specific enthalpy";
constant SI.SpecificEnthalpy SHMAX=1.0e8 "Maximal init specific enthalpy";
constant SI.SpecificEnthalpy SHNOM=1.0e6 "Nominal init specific enthalpy";
constant SI.SpecificEntropy SSMIN=-1.0e6 "Minimal init specific entropy";
constant SI.SpecificEntropy SSMAX=1.0e6 "Maximal init specific entropy";
constant SI.SpecificEntropy SSNOM=1.0e3 "Nominal init specific entropy";
constant SI.SpecificHeatCapacity CPMIN=MINPOS
"Minimal init specific heat capacity";
constant SI.SpecificHeatCapacity CPMAX=1.0e6
"Maximal init specific heat capacity";
constant SI.SpecificHeatCapacity CPNOM=1.0e3
"Nominal init specific heat capacity";
constant SI.Temperature TMIN=1.0 "Minimal init temperature";
constant SI.Temperature TMAX=6000.0 "Maximal init temperature";
constant SI.Temperature TNOM=320.0 "Nominal init temperature";
constant SI.ThermalConductivity LMIN=MINPOS
"Minimal init thermal conductivity";
constant SI.ThermalConductivity LMAX=500.0
"Maximal init thermal conductivity";
constant SI.ThermalConductivity LNOM=1.0 "Nominal init thermal conductivity";
constant SI.Velocity VELMIN=-1.0e5 "Minimal init speed";
constant SI.Velocity VELMAX=1.0e5 "Maximal init speed";
constant SI.Velocity VELNOM=1.0 "Nominal init speed";
constant SI.Volume VMIN=0.0 "Minimal init volume";
constant SI.Volume VMAX=1.0e5 "Maximal init volume";
constant SI.Volume VNOM=1.0e-3 "Nominal init volume";
package ThermoFluidSpecial "Property records used by the ThermoFluid library"
extends Modelica.Icons.Package;
record FixedIGProperties "Constant properties for ideal gases"
extends Modelica.Icons.Record;
parameter Integer nspecies(min=1) "Number of components";
SI.MolarMass[nspecies] MM "Molar mass of components";
Real[nspecies] invMM "Inverse of molar mass of components";
SI.SpecificHeatCapacity[nspecies] R_s "Gas constant";
SI.SpecificEnthalpy[nspecies] Hf "Enthalpy of formation at 298.15K";
SI.SpecificEnthalpy[nspecies] H0 "H0(298.15K) - H0(0K)";
end FixedIGProperties;
record ThermoBaseVars
extends Modelica.Icons.Record;
parameter Integer n(min=1) "Discretization number";
parameter Integer nspecies(min=1) "Number of species";
SI.Pressure[n] p(
min=PMIN,
max=PMAX,
nominal=PNOM,
start=fill(1.0e5, n)) "Pressure";
SI.Temperature[n] T(
min=TMIN,
max=TMAX,
nominal=TNOM) "Temperature";
SI.Density[n] d(
min=DMIN,
max=DMAX,
nominal=DNOM) "Density";
SI.SpecificEnthalpy[n] h(
min=SHMIN,
max=SHMAX,
nominal=SHNOM) "Specific enthalpy";
SI.SpecificEntropy[n] s(
min=SSMIN,
max=SSMAX,
nominal=SSNOM) "Specific entropy";
SI.RatioOfSpecificHeatCapacities[n] kappa "Ratio of cp/cv";
SI.Mass[n] M(
min=MMIN,
max=MMAX,
nominal=MNOM) "Total mass";
SI.Energy[n] U(
min=EMIN,
max=EMAX,
nominal=ENOM) "Inner energy";
SI.MassFlowRate[n] dM(
min=MDOTMIN,
max=MDOTMAX,
nominal=MDOTNOM) "Change in total mass";
SI.Power[n] dU(
min=POWMIN,
max=POWMAX,
nominal=POWNOM) "Change in inner energy";
SI.Volume[n] V(
min=VMIN,
max=VMAX,
nominal=VNOM) "Volume";
SI.MassFraction[n, nspecies] mass_x(
min=MASSXMIN,
max=MASSXMAX,
nominal=MASSXNOM) "Mass fraction";
SI.MoleFraction[n, nspecies] mole_y(
min=MOLEYMIN,
max=MOLEYMAX,
nominal=MOLEYNOM) "Mole fraction";
SI.Mass[n, nspecies] M_x(
min=MMIN,
max=MMAX,
nominal=MNOM) "Component mass";
SI.MassFlowRate[n, nspecies] dM_x(
min=MDOTMIN,
max=MDOTMAX,
nominal=MDOTNOM) "Rate of change in component mass";
MolarFlowRate[n, nspecies] dZ(
min=-1.0e6,
max=1.0e6,
nominal=0.0) "Rate of change in component moles";
MolarFlowRate[n, nspecies] rZ(
min=-1.0e6,
max=1.0e6,
nominal=0.0) "Reaction(source) mole rates";
SI.MolarMass[n] MM(
min=MMMIN,
max=MMMAX,
nominal=MMNOM) "Molar mass of mixture";
SI.AmountOfSubstance[n] Moles(
min=MOLMIN,
max=MOLMAX,
nominal=MOLNOM) "Total moles";
SI.AmountOfSubstance[n, nspecies] Moles_z(
min=MOLMIN,
max=MOLMAX,
nominal=MOLNOM) "Mole vector";
end ThermoBaseVars;
record ThermoProperties
"Thermodynamic base property data for all state models"
extends Modelica.Icons.Record;
parameter Integer nspecies(min=1) "Number of species";
SI.Temperature T(
min=TMIN,
max=TMAX,
nominal=TNOM) "Temperature";
SI.Density d(
min=DMIN,
max=DMAX,
nominal=DNOM) "Density";
SI.Pressure p(
min=PMIN,
max=PMAX,
nominal=PNOM) "Pressure";
SI.Volume V(
min=VMIN,
max=VMAX,
nominal=VNOM) "Volume";
SI.SpecificEnthalpy h(
min=SHMIN,
max=SHMAX,
nominal=SHNOM) "Specific enthalpy";
SI.SpecificEnergy u(
min=SEMIN,
max=SEMAX,
nominal=SENOM) "Specific inner energy";
SI.SpecificEntropy s(
min=SSMIN,
max=SSMAX,
nominal=SSNOM) "Specific entropy";
SI.SpecificGibbsFreeEnergy g(
min=SHMIN,
max=SHMAX,
nominal=SHNOM) "Specific Gibbs free energy";
SI.SpecificHeatCapacity cp(
min=CPMIN,
max=CPMAX,
nominal=CPNOM) "Heat capacity at constant pressure";
SI.SpecificHeatCapacity cv(
min=CPMIN,
max=CPMAX,
nominal=CPNOM) "Heat capacity at constant volume";
SI.SpecificHeatCapacity R_s(
min=CPMIN,
max=CPMAX,
nominal=CPNOM) "Gas constant";
SI.MolarMass MM(
min=MMMIN,
max=MMMAX,
nominal=MMNOM) "Molar mass of mixture";
SI.MassFraction[nspecies] mass_x(
min=MASSXMIN,
max=MASSXMAX,
nominal=MASSXNOM) "Mass fraction";
SI.MoleFraction[nspecies] mole_y(
min=MOLEYMIN,
max=MOLEYMAX,
nominal=MOLEYNOM) "Mole fraction";
SI.RatioOfSpecificHeatCapacities kappa "Ratio of cp/cv";
SI.DerDensityByTemperature ddTp
"Derivative of density by temperature at constant pressure";
SI.DerDensityByPressure ddpT
"Derivative of density by pressure at constant temperature";
Real dupT(unit="m3.kg-1")
"Derivative of inner energy by pressure at constant T";
Real dudT(unit="(J.m3)/(kg2)")
"Derivative of inner energy by density at constant T";
SI.SpecificHeatCapacity duTp
"Derivative of inner energy by temperature at constant p";
SI.SpecificEnergy ddx[nspecies]
"Derivative vector of density by change in mass composition";
SI.SpecificEnergy[nspecies] compu(
min=SEMIN,
max=SEMAX,
nominal=SENOM) "Inner energy of the components";
SI.Pressure[nspecies] compp(
min=COMPPMIN,
max=COMPPMAX,
nominal=COMPPNOM) "Partial pressures of the components";
SI.Velocity a(
min=VELMIN,
max=VELMAX,
nominal=VELNOM) "Speed of sound";
SI.HeatCapacity dUTZ
"Derivative of inner energy by temperature at constant moles";
SI.MolarInternalEnergy[nspecies] dUZT
"Derivative of inner energy by moles at constant temperature";
SI.SpecificEnthalpy[nspecies] dHMxT(
min=SEMIN,
max=SEMAX,
nominal=SENOM)
"Derivative of total enthalpy w.r.t. component mass at constant T";
Real dpT "Derivative of pressure w.r.t. temperature";
Real dpZ[nspecies] "Derivative of pressure w.r.t. moles";
end ThermoProperties;
record ThermoProperties_ph
"Thermodynamic property data for pressure p and specific enthalpy h as dynamic states"
extends Modelica.Icons.Record;
SI.Temperature T(
min=1.0e-9,
max=10000.0,
nominal=298.15) "Temperature";
SI.Density d(
min=1.0e-9,
max=10000.0,
nominal=10.0) "Density";
SI.SpecificEnergy u(
min=-1.0e8,
max=1.0e8,
nominal=1.0e6) "Specific inner energy";
SI.SpecificEntropy s(
min=-1.0e6,
max=1.0e6,
nominal=1.0e3) "Specific entropy";
SI.SpecificHeatCapacity cp(
min=1.0,
max=1.0e6,
nominal=1000.0) "Heat capacity at constant pressure";
SI.SpecificHeatCapacity cv(
min=1.0,
max=1.0e6,
nominal=1000.0) "Heat capacity at constant volume";
SI.SpecificHeatCapacity R_s(
min=1.0,
max=1.0e6,
nominal=1000.0) "Gas constant";
SI.RatioOfSpecificHeatCapacities kappa "Ratio of cp/cv";
SI.Velocity a(
min=1.0,
max=10000.0,
nominal=300.0) "Speed of sound";
SI.DerDensityByEnthalpy ddhp
"Derivative of density by enthalpy at constant pressure";
SI.DerDensityByPressure ddph
"Derivative of density by pressure at constant enthalpy";
Real duph(unit="m3/kg")
"Derivative of inner energy by pressure at constant enthalpy";
Real duhp(unit="1")
"Derivative of inner energy by enthalpy at constant pressure";
end ThermoProperties_ph;
record ThermoProperties_pT
"Thermodynamic property data for pressure p and temperature T as dynamic states"
extends Modelica.Icons.Record;
SI.Density d(
min=1.0e-9,
max=10000.0,
nominal=10.0) "Density";
SI.SpecificEnthalpy h(
min=-1.0e8,
max=1.0e8,
nominal=1.0e6) "Specific enthalpy";
SI.SpecificEnergy u(
min=-1.0e8,
max=1.0e8,
nominal=1.0e6) "Specific inner energy";
SI.SpecificEntropy s(
min=-1.0e6,
max=1.0e6,
nominal=1.0e3) "Specific entropy";
SI.SpecificHeatCapacity cp(
min=1.0,
max=1.0e6,
nominal=1000.0) "Heat capacity at constant pressure";
SI.SpecificHeatCapacity cv(
min=1.0,
max=1.0e6,
nominal=1000.0) "Heat capacity at constant volume";
SI.SpecificHeatCapacity R_s(
min=1.0,
max=1.0e6,
nominal=1000.0) "Gas constant";
SI.RatioOfSpecificHeatCapacities kappa "Ratio of cp/cv";
SI.Velocity a(
min=1.0,
max=10000.0,
nominal=300.0) "Speed of sound";
SI.DerDensityByTemperature ddTp
"Derivative of density by temperature at constant pressure";
SI.DerDensityByPressure ddpT
"Derivative of density by pressure at constant temperature";
Real dupT(unit="m3.kg-1")
"Derivative of inner energy by pressure at constant T";
SI.SpecificHeatCapacity duTp
"Derivative of inner energy by temperature at constant p";
end ThermoProperties_pT;
record ThermoProperties_dT
"Thermodynamic property data for density d and temperature T as dynamic states"
extends Modelica.Icons.Record;
SI.Pressure p(
min=1.0,
max=1.0e9,
nominal=1.0e5) "Pressure";
SI.SpecificEnthalpy h(
min=-1.0e8,
max=1.0e8,
nominal=1.0e6) "Specific enthalpy";
SI.SpecificEnergy u(
min=-1.0e8,
max=1.0e8,
nominal=1.0e6) "Specific inner energy";
SI.SpecificEntropy s(
min=-1.0e6,
max=1.0e6,
nominal=1.0e3) "Specific entropy";
SI.SpecificHeatCapacity cp(
min=1.0,
max=1.0e6,
nominal=1000.0) "Heat capacity at constant pressure";
SI.SpecificHeatCapacity cv(
min=1.0,
max=1.0e6,
nominal=1000.0) "Heat capacity at constant volume";
SI.SpecificHeatCapacity R_s(
min=1.0,
max=1.0e6,
nominal=1000.0) "Gas constant";
SI.RatioOfSpecificHeatCapacities kappa "Ratio of cp/cv";
SI.Velocity a(
min=1.0,
max=10000.0,
nominal=300.0) "Speed of sound";
Real dudT(unit="m5/(kg.s2)")
"Derivative of inner energy by density at constant T";
end ThermoProperties_dT;
// record GibbsDerivs
// "Derivatives of dimensionless Gibbs-function w.r.t. dimensionless pressure and temperature"
// extends Modelica.Icons.Record;
// Real pi "Dimensionless pressure";
// Real tau "Dimensionless temperature";
// Real g "Dimensionless Gibbs-function";
// Real gpi "Derivative of g w.r.t. pi";
// Real gpipi "2nd derivative of g w.r.t. pi";
// Real gtau "Derivative of g w.r.t. tau";
// Real gtautau "2nd derivative of g w.r.t. tau";
// Real gtaupi "Mixed derivative of g w.r.t. pi and tau";
// end GibbsDerivs;
// record HelmholtzDerivs
// "Derivatives of dimensionless Helmholtz-function w.r.t. dimensionless pressure, density and temperature"
// extends Modelica.Icons.Record;
// Real delta "Dimensionless density";
// Real tau "Dimensionless temperature";
// Real f "Dimensionless Helmholtz-function";
// Real fdelta "Derivative of f w.r.t. delta";
// Real fdeltadelta "2nd derivative of f w.r.t. delta";
// Real ftau "Derivative of f w.r.t. tau";
// Real ftautau "2nd derivative of f w.r.t. tau";
// Real fdeltatau "Mixed derivative of f w.r.t. delta and tau";
// end HelmholtzDerivs;
record TransportProps "Record with transport properties"
extends Modelica.Icons.Record;
SI.DynamicViscosity eta;
SI.ThermalConductivity lam;
end TransportProps;
function gibbsToProps_ph
"Calculate property record for pressure and specific enthalpy as states from dimensionless Gibbs function"
extends Modelica.Icons.Function;
input GibbsDerivs g "Dimensionless derivatives of Gibbs function";
output ThermoProperties_ph pro
"Property record for pressure and specific enthalpy as dynamic states";
protected
Real vt(unit="m3.kg-1.K-1")
"Derivative of specific volume w.r.t. temperature";
Real vp(unit="m4.kg-2.s2")
"Derivative of specific volume w.r.t. pressure";
algorithm
pro.T := g.T;
pro.R_s := g.R_s;
pro.d := g.p/(pro.R_s*pro.T*g.pi*g.gpi);
pro.u := g.T*g.R_s*(g.tau*g.gtau - g.pi*g.gpi);
pro.s := pro.R_s*(g.tau*g.gtau - g.g);
pro.cp := -pro.R_s*g.tau*g.tau*g.gtautau;
pro.cv := pro.R_s*(-g.tau*g.tau*g.gtautau + (g.gpi - g.tau*g.gtaupi)*(g.gpi
- g.tau*g.gtaupi)/(g.gpipi));
pro.a := sqrt(abs(g.R_s*g.T*(g.gpi*g.gpi/((g.gpi - g.tau*g.gtaupi)*(g.gpi - g.tau
*g.gtaupi)/(g.tau*g.tau*g.gtautau) - g.gpipi))));
vt := g.R_s/g.p*(g.pi*g.gpi - g.tau*g.pi*g.gtaupi);
vp := g.R_s*g.T/(g.p*g.p)*g.pi*g.pi*g.gpipi;
pro.kappa := -1/(pro.d*g.p)*pro.cp/(vp*pro.cp + vt*vt*g.T);
pro.ddhp := -pro.d*pro.d*vt/(pro.cp);
pro.ddph := -pro.d*pro.d*(vp*pro.cp - vt/pro.d + g.T*vt*vt)/pro.cp;
pro.duph := -1/pro.d + g.p/(pro.d*pro.d)*pro.ddph;
pro.duhp := 1 + g.p/(pro.d*pro.d)*pro.ddhp;
end gibbsToProps_ph;
function gibbsToBoundaryProps
"Calculate phase boundary property record from dimensionless Gibbs function"
extends Modelica.Icons.Function;
input GibbsDerivs g "Dimensionless derivatives of Gibbs function";
output PhaseBoundaryProperties sat "Phase boundary properties";
protected
Real vt(unit="m3.kg-1.K-1")
"Derivative of specific volume w.r.t. temperature";
Real vp(unit="m4.kg-2.s2")
"Derivative of specific volume w.r.t. pressure";
algorithm
sat.d := g.p/(g.R_s*g.T*g.pi*g.gpi);
sat.h := g.R_s*g.T*g.tau*g.gtau;
sat.u := g.T*g.R_s*(g.tau*g.gtau - g.pi*g.gpi);
sat.s := g.R_s*(g.tau*g.gtau - g.g);
sat.cp := -g.R_s*g.tau*g.tau*g.gtautau;
sat.cv := g.R_s*(-g.tau*g.tau*g.gtautau + (g.gpi - g.tau*g.gtaupi)*(g.gpi
- g.tau*g.gtaupi)/(g.gpipi));
vt := g.R_s/g.p*(g.pi*g.gpi - g.tau*g.pi*g.gtaupi);
vp := g.R_s*g.T/(g.p*g.p)*g.pi*g.pi*g.gpipi;
// sat.kappa := -1/(sat.d*g.p)*sat.cp/(vp*sat.cp + vt*vt*g.T);
sat.pt := -g.p/g.T*(g.gpi - g.tau*g.gtaupi)/(g.gpipi*g.pi);
sat.pd := -g.R_s*g.T*g.gpi*g.gpi/(g.gpipi);
end gibbsToBoundaryProps;
function gibbsToProps_dT
"Calculate property record for density and temperature as states from dimensionless Gibbs function"
extends Modelica.Icons.Function;
input GibbsDerivs g "Dimensionless derivatives of Gibbs function";
output ThermoProperties_dT pro
"Property record for density and temperature as dynamic states";
protected
Real vt(unit="m3.kg-1.K-1")
"Derivative of specific volume w.r.t. temperature";
Real vp(unit="m4.kg-2.s2")
"Derivative of specific volume w.r.t. pressure";
SI.Density d;
algorithm
pro.R_s := g.R_s;
pro.p := g.p;
pro.u := g.T*g.R_s*(g.tau*g.gtau - g.pi*g.gpi);
pro.h := g.R_s*g.T*g.tau*g.gtau;
pro.s := pro.R_s*(g.tau*g.gtau - g.g);
pro.cp := -pro.R_s*g.tau*g.tau*g.gtautau;
pro.cv := pro.R_s*(-g.tau*g.tau*g.gtautau + (g.gpi - g.tau*g.gtaupi)*(g.gpi
- g.tau*g.gtaupi)/g.gpipi);
vt := g.R_s/g.p*(g.pi*g.gpi - g.tau*g.pi*g.gtaupi);
vp := g.R_s*g.T/(g.p*g.p)*g.pi*g.pi*g.gpipi;
pro.kappa := -1/((g.p/(pro.R_s*g.T*g.pi*g.gpi))*g.p)*pro.cp/(vp*pro.cp + vt
*vt*g.T);
pro.a := sqrt(abs(g.R_s*g.T*(g.gpi*g.gpi/((g.gpi - g.tau*g.gtaupi)*(g.gpi - g.tau
*g.gtaupi)/(g.tau*g.tau*g.gtautau) - g.gpipi))));
d := g.p/(pro.R_s*g.T*g.pi*g.gpi);
pro.dudT := (pro.p - g.T*vt/vp)/(d*d);
end gibbsToProps_dT;
function gibbsToProps_pT
"Calculate property record for pressure and temperature as states from dimensionless Gibbs function"
extends Modelica.Icons.Function;
input GibbsDerivs g "Dimensionless derivatives of Gibbs function";
output ThermoProperties_pT pro
"Property record for pressure and temperature as dynamic states";
protected
Real vt(unit="m3.kg-1.K-1")
"Derivative of specific volume w.r.t. temperature";
Real vp(unit="m4.kg-2.s2")
"Derivative of specific volume w.r.t. pressure";
algorithm
pro.R_s := g.R_s;
pro.d := g.p/(pro.R_s*g.T*g.pi*g.gpi);
pro.u := g.T*g.R_s*(g.tau*g.gtau - g.pi*g.gpi);
pro.h := g.R_s*g.T*g.tau*g.gtau;
pro.s := pro.R_s*(g.tau*g.gtau - g.g);
pro.cp := -pro.R_s*g.tau*g.tau*g.gtautau;
pro.cv := pro.R_s*(-g.tau*g.tau*g.gtautau + (g.gpi - g.tau*g.gtaupi)*(g.gpi
- g.tau*g.gtaupi)/g.gpipi);
vt := g.R_s/g.p*(g.pi*g.gpi - g.tau*g.pi*g.gtaupi);
vp := g.R_s*g.T/(g.p*g.p)*g.pi*g.pi*g.gpipi;
pro.kappa := -1/(pro.d*g.p)*pro.cp/(vp*pro.cp + vt*vt*g.T);
pro.a := sqrt(abs(g.R_s*g.T*(g.gpi*g.gpi/((g.gpi - g.tau*g.gtaupi)*(g.gpi - g.tau
*g.gtaupi)/(g.tau*g.tau*g.gtautau) - g.gpipi))));
pro.ddpT := -(pro.d*pro.d)*vp;
pro.ddTp := -(pro.d*pro.d)*vt;
pro.duTp := pro.cp - g.p*vt;
pro.dupT := -g.T*vt - g.p*vp;
end gibbsToProps_pT;
function helmholtzToProps_ph
"Calculate property record for pressure and specific enthalpy as states from dimensionless Helmholtz function"
extends Modelica.Icons.Function;
input HelmholtzDerivs f "Dimensionless derivatives of Helmholtz function";
output ThermoProperties_ph pro
"Property record for pressure and specific enthalpy as dynamic states";
protected
SI.Pressure p "Pressure";
DerPressureByDensity pd "Derivative of pressure w.r.t. density";
DerPressureByTemperature pt "Derivative of pressure w.r.t. temperature";
DerPressureBySpecificVolume pv
"Derivative of pressure w.r.t. specific volume";
algorithm
pro.d := f.d;
pro.T := f.T;
pro.R_s := f.R_s;
pro.s := f.R_s*(f.tau*f.ftau - f.f);
pro.u := f.R_s*f.T*f.tau*f.ftau;
p := pro.d*pro.R_s*pro.T*f.delta*f.fdelta;
pd := f.R_s*f.T*f.delta*(2.0*f.fdelta + f.delta*f.fdeltadelta);
pt := f.R_s*f.d*f.delta*(f.fdelta - f.tau*f.fdeltatau);
pv := -pd*f.d*f.d;
// calculating cp near the critical point may be troublesome (cp -> inf).
pro.cp := f.R_s*(-f.tau*f.tau*f.ftautau + (f.delta*f.fdelta - f.delta*f.tau
*f.fdeltatau)^2/(2*f.delta*f.fdelta + f.delta*f.delta*f.fdeltadelta));
pro.cv := f.R_s*(-f.tau*f.tau*f.ftautau);
pro.kappa := 1/(f.d*f.R_s*f.d*f.T*f.delta*f.fdelta)*((-pv*pro.cv + pt*pt*f.T)
/(pro.cv));
pro.a := sqrt(abs(f.R_s*f.T*(2*f.delta*f.fdelta + f.delta*f.delta*f.fdeltadelta
- ((f.delta*f.fdelta - f.delta*f.tau*f.fdeltatau)*(f.delta*f.fdelta -
f.delta*f.tau*f.fdeltatau))/(f.tau*f.tau*f.ftautau))));
pro.ddph := (f.d*(pro.cv*f.d + pt))/(f.d*f.d*pd*pro.cv + f.T*pt*pt);
pro.ddhp := -f.d*f.d*pt/(f.d*f.d*pd*pro.cv + f.T*pt*pt);
pro.duph := -1/pro.d + p/(pro.d*pro.d)*pro.ddph;
pro.duhp := 1 + p/(pro.d*pro.d)*pro.ddhp;
end helmholtzToProps_ph;
function helmholtzToProps_pT
"Calculate property record for pressure and temperature as states from dimensionless Helmholtz function"
extends Modelica.Icons.Function;
input HelmholtzDerivs f "Dimensionless derivatives of Helmholtz function";
output ThermoProperties_pT pro
"Property record for pressure and temperature as dynamic states";
protected
DerPressureByDensity pd "Derivative of pressure w.r.t. density";
DerPressureByTemperature pt "Derivative of pressure w.r.t. temperature";
DerPressureBySpecificVolume pv
"Derivative of pressure w.r.t. specific volume";
IsobaricVolumeExpansionCoefficient alpha
"Isobaric volume expansion coefficient";
// beta in Bejan
IsothermalCompressibility gamma "Isothermal compressibility";
// kappa in Bejan
SI.Pressure p "Pressure";
algorithm
pro.d := f.d;
pro.R_s := f.R_s;
pro.s := f.R_s*(f.tau*f.ftau - f.f);
pro.h := f.R_s*f.T*(f.tau*f.ftau + f.delta*f.fdelta);
pro.u := f.R_s*f.T*f.tau*f.ftau;
pd := f.R_s*f.T*f.delta*(2.0*f.fdelta + f.delta*f.fdeltadelta);
pt := f.R_s*f.d*f.delta*(f.fdelta - f.tau*f.fdeltatau);
pv := -(f.d*f.d)*pd;
alpha := -f.d*pt/pv;
gamma := -f.d/pv;
p := f.R_s*f.d*f.T*f.delta*f.fdelta;
// calculating cp near the critical point may be troublesome (cp -> inf).
pro.cp := f.R_s*(-f.tau*f.tau*f.ftautau + (f.delta*f.fdelta - f.delta*f.tau
*f.fdeltatau)^2/(2*f.delta*f.fdelta + f.delta*f.delta*f.fdeltadelta));
pro.cv := f.R_s*(-f.tau*f.tau*f.ftautau);
pro.kappa := 1/(f.d*f.R_s*f.d*f.T*f.delta*f.fdelta)*((-pv*pro.cv + pt*pt*f.T)
/(pro.cv));
pro.a := sqrt(abs(f.R_s*f.T*(2*f.delta*f.fdelta + f.delta*f.delta*f.fdeltadelta
- ((f.delta*f.fdelta - f.delta*f.tau*f.fdeltatau)*(f.delta*f.fdelta -
f.delta*f.tau*f.fdeltatau))/(f.tau*f.tau*f.ftautau))));
pro.ddTp := -pt/pd;
pro.ddpT := 1/pd;
//problem with units in last two lines
pro.dupT := gamma*p/f.d - alpha*f.T/f.d;
pro.duTp := pro.cp - alpha*p/f.d;
end helmholtzToProps_pT;
function helmholtzToProps_dT
"Calculate property record for density and temperature as states from dimensionless Helmholtz function"
extends Modelica.Icons.Function;
input HelmholtzDerivs f "Dimensionless derivatives of Helmholtz function";
output ThermoProperties_dT pro
"Property record for density and temperature as dynamic states";
protected
DerPressureByTemperature pt "Derivative of pressure w.r.t. temperature";
DerPressureBySpecificVolume pv "Derivative of pressure w.r.t. pressure";
algorithm
pro.p := f.R_s*f.d*f.T*f.delta*f.fdelta;
pro.R_s := f.R_s;
pro.s := f.R_s*(f.tau*f.ftau - f.f);
pro.h := f.R_s*f.T*(f.tau*f.ftau + f.delta*f.fdelta);
pro.u := f.R_s*f.T*f.tau*f.ftau;
pv := -(f.d*f.d)*f.R_s*f.T*f.delta*(2.0*f.fdelta + f.delta*f.fdeltadelta);
pt := f.R_s*f.d*f.delta*(f.fdelta - f.tau*f.fdeltatau);
// calculating cp near the critical point may be troublesome (cp -> inf).
pro.cp := f.R_s*(-f.tau*f.tau*f.ftautau + (f.delta*f.fdelta - f.delta*f.tau
*f.fdeltatau)^2/(2*f.delta*f.fdelta + f.delta*f.delta*f.fdeltadelta));
pro.cv := f.R_s*(-f.tau*f.tau*f.ftautau);
pro.kappa := 1/(f.d*pro.p)*((-pv*pro.cv + pt*pt*f.T)/(pro.cv));
pro.a := sqrt(abs(f.R_s*f.T*(2*f.delta*f.fdelta + f.delta*f.delta*f.fdeltadelta
- ((f.delta*f.fdelta - f.delta*f.tau*f.fdeltatau)*(f.delta*f.fdelta -
f.delta*f.tau*f.fdeltatau))/(f.tau*f.tau*f.ftautau))));
pro.dudT := (pro.p - f.T*pt)/(f.d*f.d);
end helmholtzToProps_dT;
function TwoPhaseToProps_ph
"Compute property record for pressure and specific enthalpy as states from saturation properties"
extends Modelica.Icons.Function;
input SaturationProperties sat "Saturation property record";
output ThermoProperties_ph pro
"Property record for pressure and specific enthalpy as dynamic states";
protected
Real dht(unit="(J/kg)/K")
"Derivative of specific enthalpy w.r.t. temperature";
Real dhd(unit="(J/kg)/(kg/m3)")
"Derivative of specific enthalpy w.r.t. density";
Real detph(unit="m4.s4/(K.s8)") "Thermodynamic determinant";
algorithm
pro.d := sat.d;
pro.T := sat.T;
pro.u := sat.u;
pro.s := sat.s;
pro.cv := sat.cv;
pro.R_s := sat.R_s;
pro.cp := Modelica.Constants.inf;
pro.kappa := -1/(sat.d*sat.p)*sat.dpT*sat.dpT*sat.T/sat.cv;
pro.a := Modelica.Constants.inf;
dht := sat.cv + sat.dpT/sat.d;
dhd := -sat.T*sat.dpT/(sat.d*sat.d);
detph := -sat.dpT*dhd;
pro.ddph := dht/detph;
pro.ddhp := -sat.dpT/detph;
end TwoPhaseToProps_ph;
function TwoPhaseToProps_dT
"Compute property record for density and temperature as states from saturation properties"
extends Modelica.Icons.Function;
input SaturationProperties sat "Saturation properties";
output ThermoProperties_dT pro
"Property record for density and temperature as dynamic states";
algorithm
pro.p := sat.p;
pro.h := sat.h;
pro.u := sat.u;
pro.s := sat.s;
pro.cv := sat.cv;
pro.cp := Modelica.Constants.inf;
pro.R_s := sat.R_s;
pro.kappa := -1/(sat.d*sat.p)*sat.dpT*sat.dpT*sat.T/sat.cv;
pro.a := Modelica.Constants.inf;
pro.dudT := (sat.p - sat.T*sat.dpT)/(sat.d*sat.d);
end TwoPhaseToProps_dT;
end ThermoFluidSpecial;
public
record SaturationProperties "Properties in the two phase region"
extends Modelica.Icons.Record;
SI.Temperature T "Temperature";
SI.Density d "Density";
SI.Pressure p "Pressure";
SI.SpecificEnergy u "Specific inner energy";
SI.SpecificEnthalpy h "Specific enthalpy";
SI.SpecificEntropy s "Specific entropy";
SI.SpecificHeatCapacity cp "Heat capacity at constant pressure";
SI.SpecificHeatCapacity cv "Heat capacity at constant volume";
SI.SpecificHeatCapacity R_s "Gas constant";
SI.RatioOfSpecificHeatCapacities kappa "Isentropic expansion coefficient";
PhaseBoundaryProperties liq
"Thermodynamic base properties on the boiling curve";
PhaseBoundaryProperties vap
"Thermodynamic base properties on the dew curve";
Real dpT(unit="Pa/K")
"Derivative of saturation pressure w.r.t. temperature";
SI.MassFraction x "Vapour mass fraction";
end SaturationProperties;
record SaturationBoundaryProperties
"Properties on both phase boundaries, including some derivatives"
extends Modelica.Icons.Record;
SI.Temperature T "Saturation temperature";
SI.Density dl "Liquid density";
SI.Density dv "Vapour density";
SI.SpecificEnthalpy hl "Liquid specific enthalpy";
SI.SpecificEnthalpy hv "Vapour specific enthalpy";
Real dTp "Derivative of temperature w.r.t. saturation pressure";
Real ddldp "Derivative of density along boiling curve";
Real ddvdp "Derivative of density along dew curve";
Real dhldp "Derivative of specific enthalpy along boiling curve";
Real dhvdp "Derivative of specific enthalpy along dew curve";
SI.MassFraction x "Vapour mass fraction";
end SaturationBoundaryProperties;
record IF97BaseTwoPhase "Intermediate property data record for IF 97"
extends Modelica.Icons.Record;
Integer phase(start=0)
"Phase: 2 for two-phase, 1 for one phase, 0 if unknown";
Integer region(min=1, max=5) "IF 97 region";
SI.Pressure p "Pressure";
SI.Temperature T "Temperature";
SI.SpecificEnthalpy h "Specific enthalpy";
SI.SpecificHeatCapacity R_s "Gas constant";
SI.SpecificHeatCapacity cp "Specific heat capacity";
SI.SpecificHeatCapacity cv "Specific heat capacity";
SI.Density rho "Density";
SI.SpecificEntropy s "Specific entropy";
DerPressureByTemperature pt "Derivative of pressure w.r.t. temperature";
DerPressureByDensity pd "Derivative of pressure w.r.t. density";
Real vt "Derivative of specific volume w.r.t. temperature";
Real vp "Derivative of specific volume w.r.t. pressure";
Real x "Dryness fraction";
Real dpT "dp/dT derivative of saturation curve";
end IF97BaseTwoPhase;
record IF97PhaseBoundaryProperties
"Thermodynamic base properties on the phase boundary for IF97 steam tables"
extends Modelica.Icons.Record;
Boolean region3boundary "= true, if boundary between 2-phase and region 3";
SI.SpecificHeatCapacity R_s "Specific heat capacity";
SI.Temperature T "Temperature";
SI.Density d "Density";
SI.SpecificEnthalpy h "Specific enthalpy";
SI.SpecificEntropy s "Specific entropy";
SI.SpecificHeatCapacity cp "Heat capacity at constant pressure";
SI.SpecificHeatCapacity cv "Heat capacity at constant volume";
DerPressureByTemperature dpT "dp/dT derivative of saturation curve";
DerPressureByTemperature pt "Derivative of pressure w.r.t. temperature";
DerPressureByDensity pd "Derivative of pressure w.r.t. density";
Real vt(unit="m3/(kg.K)")
"Derivative of specific volume w.r.t. temperature";
Real vp(unit="m3/(kg.Pa)") "Derivative of specific volume w.r.t. pressure";
end IF97PhaseBoundaryProperties;
record GibbsDerivs
"Derivatives of dimensionless Gibbs-function w.r.t. dimensionless pressure and temperature"
extends Modelica.Icons.Record;
SI.Pressure p "Pressure";
SI.Temperature T "Temperature";
SI.SpecificHeatCapacity R_s "Specific heat capacity";
Real pi(unit="1") "Dimensionless pressure";
Real tau(unit="1") "Dimensionless temperature";
Real g(unit="1") "Dimensionless Gibbs-function";
Real gpi(unit="1") "Derivative of g w.r.t. pi";
Real gpipi(unit="1") "2nd derivative of g w.r.t. pi";
Real gtau(unit="1") "Derivative of g w.r.t. tau";
Real gtautau(unit="1") "2nd derivative of g w.r.t. tau";
Real gtaupi(unit="1") "Mixed derivative of g w.r.t. pi and tau";
end GibbsDerivs;
record HelmholtzDerivs
"Derivatives of dimensionless Helmholtz-function w.r.t. dimensionless pressure, density and temperature"
extends Modelica.Icons.Record;
SI.Density d "Density";
SI.Temperature T "Temperature";
SI.SpecificHeatCapacity R_s "Specific heat capacity";
Real delta(unit="1") "Dimensionless density";
Real tau(unit="1") "Dimensionless temperature";
Real f(unit="1") "Dimensionless Helmholtz-function";
Real fdelta(unit="1") "Derivative of f w.r.t. delta";
Real fdeltadelta(unit="1") "2nd derivative of f w.r.t. delta";
Real ftau(unit="1") "Derivative of f w.r.t. tau";
Real ftautau(unit="1") "2nd derivative of f w.r.t. tau";
Real fdeltatau(unit="1") "Mixed derivative of f w.r.t. delta and tau";
end HelmholtzDerivs;
record TwoPhaseTransportProps
"Defines properties on both phase boundaries, needed in the two phase region"
extends Modelica.Icons.Record;
SI.Density d_vap "Density on the dew line";
SI.Density d_liq "Density on the bubble line";
SI.DynamicViscosity eta_vap "Dynamic viscosity on the dew line";
SI.DynamicViscosity eta_liq "Dynamic viscosity on the bubble line";
SI.ThermalConductivity lam_vap "Thermal conductivity on the dew line";
SI.ThermalConductivity lam_liq "Thermal conductivity on the bubble line";
SI.SpecificHeatCapacity cp_vap "Cp on the dew line";
SI.SpecificHeatCapacity cp_liq "Cp on the bubble line";
SI.MassFraction x "Steam quality";
end TwoPhaseTransportProps;
record PhaseBoundaryProperties
"Thermodynamic base properties on the phase boundary"
extends Modelica.Icons.Record;
SI.Density d "Density";
SI.SpecificEnthalpy h "Specific enthalpy";
SI.SpecificEnergy u "Inner energy";
SI.SpecificEntropy s "Specific entropy";
SI.SpecificHeatCapacity cp "Heat capacity at constant pressure";
SI.SpecificHeatCapacity cv "Heat capacity at constant volume";
DerPressureByTemperature pt "Derivative of pressure w.r.t. temperature";
DerPressureByDensity pd "Derivative of pressure w.r.t. density";
end PhaseBoundaryProperties;
record NewtonDerivatives_ph
"Derivatives for fast inverse calculations of Helmholtz functions: p & h"
extends Modelica.Icons.Record;
SI.Pressure p "Pressure";
SI.SpecificEnthalpy h "Specific enthalpy";
DerPressureByDensity pd "Derivative of pressure w.r.t. density";
DerPressureByTemperature pt "Derivative of pressure w.r.t. temperature";
Real hd "Derivative of specific enthalpy w.r.t. density";
Real ht "Derivative of specific enthalpy w.r.t. temperature";
end NewtonDerivatives_ph;
record NewtonDerivatives_ps
"Derivatives for fast inverse calculation of Helmholtz functions: p & s"
extends Modelica.Icons.Record;
SI.Pressure p "Pressure";
SI.SpecificEntropy s "Specific entropy";
DerPressureByDensity pd "Derivative of pressure w.r.t. density";
DerPressureByTemperature pt "Derivative of pressure w.r.t. temperature";
Real sd "Derivative of specific entropy w.r.t. density";
Real st "Derivative of specific entropy w.r.t. temperature";
end NewtonDerivatives_ps;
record NewtonDerivatives_pT
"Derivatives for fast inverse calculations of Helmholtz functions:p & T"
extends Modelica.Icons.Record;
SI.Pressure p "Pressure";
DerPressureByDensity pd "Derivative of pressure w.r.t. density";
end NewtonDerivatives_pT;
record ExtraDerivatives "Additional thermodynamic derivatives"
extends Modelica.Icons.Record;
IsentropicExponent kappa "Isentropic expansion coefficient";
// k in Bejan
IsenthalpicExponent theta "Isenthalpic exponent";
// same as kappa, except derivative at constant h
IsobaricVolumeExpansionCoefficient alpha
"Isobaric volume expansion coefficient";
// beta in Bejan
IsochoricPressureCoefficient beta "Isochoric pressure coefficient";
// kT in Bejan
IsothermalCompressibility gamma "Isothermal compressibility";
// kappa in Bejan
JouleThomsonCoefficient mu "Joule-Thomson coefficient";
// mu_J in Bejan
end ExtraDerivatives;
record BridgmansTables
"Calculates all entries in Bridgmans tables if first seven variables given"
extends Modelica.Icons.Record;
// the first 7 need to calculated in a function!
SI.SpecificVolume v "Specific volume";
SI.Pressure p "Pressure";
SI.Temperature T "Temperature";
SI.SpecificEntropy s "Specific entropy";
SI.SpecificHeatCapacity cp "Heat capacity at constant pressure";
IsobaricVolumeExpansionCoefficient alpha
"Isobaric volume expansion coefficient";
// beta in Bejan
IsothermalCompressibility gamma "Isothermal compressibility";
// kappa in Bejan
// Derivatives at constant pressure
Real dTp=1 "Coefficient in Bridgmans table, see info for usage";
Real dpT=-dTp "Coefficient in Bridgmans table, see info for usage";
Real dvp=alpha*v "Coefficient in Bridgmans table, see info for usage";
Real dpv=-dvp "Coefficient in Bridgmans table, see info for usage";
Real dsp=cp/T "Coefficient in Bridgmans table, see info for usage";
Real dps=-dsp "Coefficient in Bridgmans table, see info for usage";
Real dup=cp - alpha*p*v
"Coefficient in Bridgmans table, see info for usage";
Real dpu=-dup "Coefficient in Bridgmans table, see info for usage";
Real dhp=cp "Coefficient in Bridgmans table, see info for usage";
Real dph=-dhp "Coefficient in Bridgmans table, see info for usage";
Real dfp=-s - alpha*p*v
"Coefficient in Bridgmans table, see info for usage";
Real dpf=-dfp "Coefficient in Bridgmans table, see info for usage";
Real dgp=-s "Coefficient in Bridgmans table, see info for usage";
Real dpg=-dgp "Coefficient in Bridgmans table, see info for usage";
// Derivatives at constant Temperature
Real dvT=gamma*v "Coefficient in Bridgmans table, see info for usage";
Real dTv=-dvT "Coefficient in Bridgmans table, see info for usage";
Real dsT=alpha*v "Coefficient in Bridgmans table, see info for usage";
Real dTs=-dsT "Coefficient in Bridgmans table, see info for usage";
Real duT=alpha*T*v - gamma*p*v
"Coefficient in Bridgmans table, see info for usage";
Real dTu=-duT "Coefficient in Bridgmans table, see info for usage";
Real dhT=-v + alpha*T*v
"Coefficient in Bridgmans table, see info for usage";
Real dTh=-dhT "Coefficient in Bridgmans table, see info for usage";
Real dfT=-gamma*p*v "Coefficient in Bridgmans table, see info for usage";
Real dTf=-dfT "Coefficient in Bridgmans table, see info for usage";
Real dgT=-v "Coefficient in Bridgmans table, see info for usage";
Real dTg=-dgT "Coefficient in Bridgmans table, see info for usage";
// Derivatives at constant v
Real dsv=alpha*alpha*v*v - gamma*v*cp/T
"Coefficient in Bridgmans table, see info for usage";
Real dvs=-dsv "Coefficient in Bridgmans table, see info for usage";
Real duv=T*alpha*alpha*v*v - gamma*v*cp
"Coefficient in Bridgmans table, see info for usage";
Real dvu=-duv "Coefficient in Bridgmans table, see info for usage";
Real dhv=T*alpha*alpha*v*v - alpha*v*v - gamma*v*cp
"Coefficient in Bridgmans table, see info for usage";
Real dvh=-dhv "Coefficient in Bridgmans table, see info for usage";
Real dfv=gamma*v*s "Coefficient in Bridgmans table, see info for usage";
Real dvf=-dfv "Coefficient in Bridgmans table, see info for usage";
Real dgv=gamma*v*s - alpha*v*v
"Coefficient in Bridgmans table, see info for usage";
Real dvg=-dgv "Coefficient in Bridgmans table, see info for usage";
// Derivatives at constant s
Real dus=dsv*p "Coefficient in Bridgmans table, see info for usage";
Real dsu=-dus "Coefficient in Bridgmans table, see info for usage";
Real dhs=-v*cp/T "Coefficient in Bridgmans table, see info for usage";
Real dsh=-dhs "Coefficient in Bridgmans table, see info for usage";
Real dfs=alpha*v*s + dus
"Coefficient in Bridgmans table, see info for usage";
Real dsf=-dfs "Coefficient in Bridgmans table, see info for usage";
Real dgs=alpha*v*s - v*cp/T
"Coefficient in Bridgmans table, see info for usage";
Real dsg=-dgs "Coefficient in Bridgmans table, see info for usage";
// Derivatives at constant u
Real dhu=p*alpha*v*v + gamma*v*cp*p - v*cp - p*T*alpha*alpha*v*v
"Coefficient in Bridgmans table, see info for usage";
Real duh=-dhu "Coefficient in Bridgmans table, see info for usage";
Real dfu=s*T*alpha*v - gamma*v*cp*p - gamma*v*s*p + p*T*alpha*alpha*v*v
"Coefficient in Bridgmans table, see info for usage";
Real duf=-dfu "Coefficient in Bridgmans table, see info for usage";
Real dgu=alpha*v*v*p + alpha*v*s*T - v*cp - gamma*v*s*p
"Coefficient in Bridgmans table, see info for usage";
Real dug=-dgu "Coefficient in Bridgmans table, see info for usage";
// Derivatives at constant h
Real dfh=(s - v*alpha*p)*(v - v*alpha*T) - gamma*v*cp*p
"Coefficient in Bridgmans table, see info for usage";
Real dhf=-dfh "Coefficient in Bridgmans table, see info for usage";
Real dgh=alpha*v*s*T - v*(s + cp)
"Coefficient in Bridgmans table, see info for usage";
Real dhg=-dgh "Coefficient in Bridgmans table, see info for usage";
// Derivatives at constant g
Real dfg=gamma*v*s*p - v*s - alpha*v*v*p
"Coefficient in Bridgmans table, see info for usage";
Real dgf=-dfg "Coefficient in Bridgmans table, see info for usage";
bt.p = p[1];
bt.T = T[1];
bt.v = 1/pro[1].d;
bt.s = pro[1].s;
bt.cp = pro[1].cp;
bt.alpha = dpro.alpha;
bt.gamma = dpro.gamma;
derOfsByTAtConstantv = bt.dsv/bt.dTv;
...
end BridgmansTablesForWater;
</pre></blockquote>
</html>"));
end BridgmansTables;
record FundamentalConstants "Constants of the medium"
extends Modelica.Icons.Record;
SI.MolarHeatCapacity R_bar;
SI.SpecificHeatCapacity R_s;
SI.MolarMass MM;
SI.MolarDensity rhored;
SI.Temperature Tred;
SI.AbsolutePressure pred;
SI.SpecificEnthalpy h_off;
SI.SpecificEntropy s_off;
end FundamentalConstants;
record AuxiliaryProperties "Intermediate property data record"
extends Modelica.Icons.Record;
SI.Pressure p "Pressure";
SI.Temperature T "Temperature";
SI.SpecificEnthalpy h "Specific enthalpy";
SI.SpecificHeatCapacity R_s "Gas constant";
SI.SpecificHeatCapacity cp "Specific heat capacity";
SI.SpecificHeatCapacity cv "Specific heat capacity";
SI.Density rho "Density";
SI.SpecificEntropy s "Specific entropy";
SI.DerPressureByTemperature pt "Derivative of pressure w.r.t. temperature";
SI.DerPressureByDensity pd "Derivative of pressure w.r.t. density";
Real vt "Derivative of specific volume w.r.t. temperature";
Real vp "Derivative of specific volume w.r.t. pressure";
end AuxiliaryProperties;
record GibbsDerivs2
"Derivatives of Gibbs function w.r.t. pressure and temperature"
extends Modelica.Icons.Record;
SI.Pressure p "Pressure";
SI.Temperature T "Temperature";
SI.SpecificHeatCapacity R_s "Specific heat capacity";
Real pi(unit="1") "Dimensionless pressure";
Real theta(unit="1") "Dimensionless temperature";
Real g(unit="J/kg") "Gibbs function";
Real gp(unit="m3/kg") "Derivative of g w.r.t. p";
Real gpp(unit="m3/(kg.Pa)") "2nd derivative of g w.r.t. p";
Real gT(unit="J/(kg.K)") "Derivative of g w.r.t. T";
Real gTT(unit="J/(kg.K2)") "2nd derivative of g w.r.t. T";
Real gTp(unit="m3/(kg.K)") "Mixed derivative of g w.r.t. T and p";
end GibbsDerivs2;
record NewtonDerivatives_dT
"Derivatives for fast inverse calculations of Gibbs function"
extends Modelica.Icons.Record;
SI.SpecificVolume v "Specific volume";
Real vp "Derivative of specific volume w.r.t. pressure";
end NewtonDerivatives_dT;
function gibbsToBridgmansTables
"Calculates base coefficients for Bridgman's tables from gibbs enthalpy"
extends Modelica.Icons.Function;
input GibbsDerivs g "Dimensionless derivatives of Gibbs function";
output SI.SpecificVolume v "Specific volume";
output SI.Pressure p=g.p "Pressure";
output SI.Temperature T=g.T "Temperature";
output SI.SpecificEntropy s "Specific entropy";
output SI.SpecificHeatCapacity cp "Heat capacity at constant pressure";
output IsobaricVolumeExpansionCoefficient alpha
"Isobaric volume expansion coefficient";
// beta in Bejan
output IsothermalCompressibility gamma "Isothermal compressibility";
// kappa in Bejan
protected
Real vt(unit="m3/(kg.K)")
"Derivative of specific volume w.r.t. temperature";
Real vp(unit="m4.kg-2.s2") "Derivative of specific volume w.r.t. pressure";
algorithm
vt := g.R_s/g.p*(g.pi*g.gpi - g.tau*g.pi*g.gtaupi);
vp := g.R_s*g.T/(g.p*g.p)*g.pi*g.pi*g.gpipi;
v := (g.R_s*g.T*g.pi*g.gpi)/g.p;
s := g.R_s*(g.tau*g.gtau - g.g);
cp := -g.R_s*g.tau*g.tau*g.gtautau;
alpha := vt/v;
gamma := -vp/v;
end gibbsToBridgmansTables;
function helmholtzToBridgmansTables
"Calculates base coefficients for Bridgmans tables from Helmholtz energy"
extends Modelica.Icons.Function;
input HelmholtzDerivs f "Dimensionless derivatives of Helmholtz function";
output SI.SpecificVolume v=1/f.d "Specific volume";
output SI.Pressure p "Pressure";
output SI.Temperature T=f.T "Temperature";
output SI.SpecificEntropy s "Specific entropy";
output SI.SpecificHeatCapacity cp "Heat capacity at constant pressure";
output IsobaricVolumeExpansionCoefficient alpha
"Isobaric volume expansion coefficient";
// beta in Bejan
output IsothermalCompressibility gamma "Isothermal compressibility";
// kappa in Bejan
protected
DerPressureByTemperature pt "Derivative of pressure w.r.t. temperature";
DerPressureBySpecificVolume pv
"Derivative of pressure w.r.t. specific volume";
SI.SpecificHeatCapacity cv "Isochoric specific heat capacity";
algorithm
p := f.R_s*f.d*f.T*f.delta*f.fdelta;
pv := -(f.d*f.d)*f.R_s*f.T*f.delta*(2.0*f.fdelta + f.delta*f.fdeltadelta);
pt := f.R_s*f.d*f.delta*(f.fdelta - f.tau*f.fdeltatau);
s := f.R_s*(f.tau*f.ftau - f.f);
alpha := -f.d*pt/pv;
gamma := -f.d/pv;
cp := f.R_s*(-f.tau*f.tau*f.ftautau + (f.delta*f.fdelta - f.delta*f.tau*f.fdeltatau)
^2/(2*f.delta*f.fdelta + f.delta*f.delta*f.fdeltadelta));
end helmholtzToBridgmansTables;
function gibbsToBoundaryProps
"Calculate phase boundary property record from dimensionless Gibbs function"
extends Modelica.Icons.Function;
input GibbsDerivs g "Dimensionless derivatives of Gibbs function";
output PhaseBoundaryProperties sat "Phase boundary properties";
protected
Real vt "Derivative of specific volume w.r.t. temperature";
Real vp "Derivative of specific volume w.r.t. pressure";
algorithm
sat.d := g.p/(g.R_s*g.T*g.pi*g.gpi);
sat.h := g.R_s*g.T*g.tau*g.gtau;
sat.u := g.T*g.R_s*(g.tau*g.gtau - g.pi*g.gpi);
sat.s := g.R_s*(g.tau*g.gtau - g.g);
sat.cp := -g.R_s*g.tau*g.tau*g.gtautau;
sat.cv := g.R_s*(-g.tau*g.tau*g.gtautau + (g.gpi - g.tau*g.gtaupi)*(g.gpi - g.tau
*g.gtaupi)/(g.gpipi));
vt := g.R_s/g.p*(g.pi*g.gpi - g.tau*g.pi*g.gtaupi);
vp := g.R_s*g.T/(g.p*g.p)*g.pi*g.pi*g.gpipi;
// sat.kappa := -1/(sat.d*g.p)*sat.cp/(vp*sat.cp + vt*vt*g.T);
sat.pt := -g.p/g.T*(g.gpi - g.tau*g.gtaupi)/(g.gpipi*g.pi);
sat.pd := -g.R_s*g.T*g.gpi*g.gpi/(g.gpipi);
end gibbsToBoundaryProps;
function helmholtzToBoundaryProps
"Calculate phase boundary property record from dimensionless Helmholtz function"
extends Modelica.Icons.Function;
input HelmholtzDerivs f "Dimensionless derivatives of Helmholtz function";
output PhaseBoundaryProperties sat "Phase boundary property record";
protected
SI.Pressure p "Pressure";
algorithm
p := f.R_s*f.d*f.T*f.delta*f.fdelta;
sat.d := f.d;
sat.h := f.R_s*f.T*(f.tau*f.ftau + f.delta*f.fdelta);
sat.s := f.R_s*(f.tau*f.ftau - f.f);
sat.u := f.R_s*f.T*f.tau*f.ftau;
sat.cp := f.R_s*(-f.tau*f.tau*f.ftautau + (f.delta*f.fdelta - f.delta*f.tau*f.fdeltatau)
^2/(2*f.delta*f.fdelta + f.delta*f.delta*f.fdeltadelta));
sat.cv := f.R_s*(-f.tau*f.tau*f.ftautau);
sat.pt := f.R_s*f.d*f.delta*(f.fdelta - f.tau*f.fdeltatau);
sat.pd := f.R_s*f.T*f.delta*(2.0*f.fdelta + f.delta*f.fdeltadelta);
end helmholtzToBoundaryProps;
function cv2Phase
"Compute isochoric specific heat capacity inside the two-phase region"
extends Modelica.Icons.Function;
input PhaseBoundaryProperties liq "Properties on the boiling curve";
input PhaseBoundaryProperties vap "Properties on the condensation curve";
input SI.MassFraction x "Vapour mass fraction";
input SI.Temperature T "Temperature";
input SI.Pressure p "Properties";
output SI.SpecificHeatCapacity cv "Isochoric specific heat capacity";
protected
Real dpT "Derivative of pressure w.r.t. temperature";
Real dxv "Derivative of vapour mass fraction w.r.t. specific volume";
Real dvTl "Derivative of liquid specific volume w.r.t. temperature";
Real dvTv "Derivative of vapour specific volume w.r.t. temperature";
Real duTl "Derivative of liquid specific inner energy w.r.t. temperature";
Real duTv "Derivative of vapour specific inner energy w.r.t. temperature";
Real dxt "Derivative of vapour mass fraction w.r.t. temperature";
algorithm
dxv := if (liq.d <> vap.d) then liq.d*vap.d/(liq.d - vap.d) else 0.0;
dpT := (vap.s - liq.s)*dxv;
// wrong at critical point
dvTl := (liq.pt - dpT)/liq.pd/liq.d/liq.d;
dvTv := (vap.pt - dpT)/vap.pd/vap.d/vap.d;
dxt := -dxv*(dvTl + x*(dvTv - dvTl));
duTl := liq.cv + (T*liq.pt - p)*dvTl;
duTv := vap.cv + (T*vap.pt - p)*dvTv;
cv := duTl + x*(duTv - duTl) + dxt*(vap.u - liq.u);
end cv2Phase;
function cvdpT2Phase
"Compute isochoric specific heat capacity inside the two-phase region and derivative of pressure w.r.t. temperature"
extends Modelica.Icons.Function;
input PhaseBoundaryProperties liq "Properties on the boiling curve";
input PhaseBoundaryProperties vap "Properties on the condensation curve";
input SI.MassFraction x "Vapour mass fraction";
input SI.Temperature T "Temperature";
input SI.Pressure p "Properties";
output SI.SpecificHeatCapacity cv "Isochoric specific heat capacity";
output Real dpT "Derivative of pressure w.r.t. temperature";
protected
Real dxv "Derivative of vapour mass fraction w.r.t. specific volume";
Real dvTl "Derivative of liquid specific volume w.r.t. temperature";
Real dvTv "Derivative of vapour specific volume w.r.t. temperature";
Real duTl "Derivative of liquid specific inner energy w.r.t. temperature";
Real duTv "Derivative of vapour specific inner energy w.r.t. temperature";
Real dxt "Derivative of vapour mass fraction w.r.t. temperature";
algorithm
dxv := if (liq.d <> vap.d) then liq.d*vap.d/(liq.d - vap.d) else 0.0;
dpT := (vap.s - liq.s)*dxv;
// wrong at critical point
dvTl := (liq.pt - dpT)/liq.pd/liq.d/liq.d;
dvTv := (vap.pt - dpT)/vap.pd/vap.d/vap.d;
dxt := -dxv*(dvTl + x*(dvTv - dvTl));
duTl := liq.cv + (T*liq.pt - p)*dvTl;
duTv := vap.cv + (T*vap.pt - p)*dvTv;
cv := duTl + x*(duTv - duTl) + dxt*(vap.u - liq.u);
end cvdpT2Phase;
function gibbsToExtraDerivs
"Compute additional thermodynamic derivatives from dimensionless Gibbs function"
extends Modelica.Icons.Function;
input GibbsDerivs g "Dimensionless derivatives of Gibbs function";
output ExtraDerivatives dpro "Additional property derivatives";
protected
Real vt "Derivative of specific volume w.r.t. temperature";
Real vp "Derivative of specific volume w.r.t. pressure";
SI.Density d "Density";
SI.SpecificVolume v "Specific volume";
SI.SpecificHeatCapacity cv "Isochoric heat capacity";
SI.SpecificHeatCapacity cp "Isobaric heat capacity";
algorithm
d := g.p/(g.R_s*g.T*g.pi*g.gpi);
v := 1/d;
vt := g.R_s/g.p*(g.pi*g.gpi - g.tau*g.pi*g.gtaupi);
vp := g.R_s*g.T/(g.p*g.p)*g.pi*g.pi*g.gpipi;
cp := -g.R_s*g.tau*g.tau*g.gtautau;
cv := g.R_s*(-g.tau*g.tau*g.gtautau + (g.gpi - g.tau*g.gtaupi)*(g.gpi - g.tau
*g.gtaupi)/g.gpipi);
dpro.kappa := -1/(d*g.p)*cp/(vp*cp + vt*vt*g.T);
dpro.theta := cp/(d*g.p*(-vp*cp + vt*v - g.T*vt*vt));
dpro.alpha := d*vt;
dpro.beta := -vt/(g.p*vp);
dpro.gamma := -d*vp;
dpro.mu := -(v - g.T*vt)/cp;
end gibbsToExtraDerivs;
function helmholtzToExtraDerivs
"Compute additional thermodynamic derivatives from dimensionless Helmholtz function"
extends Modelica.Icons.Function;
input HelmholtzDerivs f "Dimensionless derivatives of Helmholtz function";
output ExtraDerivatives dpro "Additional property derivatives";
protected
SI.Pressure p "Pressure";
SI.SpecificVolume v "Specific volume";
DerPressureByTemperature pt "Derivative of pressure w.r.t. temperature";
DerPressureBySpecificVolume pv
"Derivative of pressure w.r.t. specific volume";
SI.SpecificHeatCapacity cv "Isochoric specific heat capacity";
algorithm
v := 1/f.d;
p := f.R_s*f.d*f.T*f.delta*f.fdelta;
pv := -(f.d*f.d)*f.R_s*f.T*f.delta*(2.0*f.fdelta + f.delta*f.fdeltadelta);
pt := f.R_s*f.d*f.delta*(f.fdelta - f.tau*f.fdeltatau);
cv := f.R_s*(-f.tau*f.tau*f.ftautau);
dpro.kappa := 1/(f.d*p)*((-pv*cv + pt*pt*f.T)/(cv));
dpro.theta := -1/(f.d*p)*((-pv*cv + f.T*pt*pt)/(cv + pt*v));
dpro.alpha := -f.d*pt/pv;
dpro.beta := pt/p;
dpro.gamma := -f.d/pv;
dpro.mu := (v*pv + f.T*pt)/(pt*pt*f.T - pv*cv);
end helmholtzToExtraDerivs;
function Helmholtz_ph
"Function to calculate analytic derivatives for computing d and t given p and h"
extends Modelica.Icons.Function;
input HelmholtzDerivs f "Dimensionless derivatives of Helmholtz function";
output NewtonDerivatives_ph nderivs
"Derivatives for Newton iteration to calculate d and t from p and h";
protected
SI.SpecificHeatCapacity cv "Isochoric heat capacity";
algorithm
cv := -f.R_s*(f.tau*f.tau*f.ftautau);
nderivs.p := f.d*f.R_s*f.T*f.delta*f.fdelta;
nderivs.h := f.R_s*f.T*(f.tau*f.ftau + f.delta*f.fdelta);
nderivs.pd := f.R_s*f.T*f.delta*(2.0*f.fdelta + f.delta*f.fdeltadelta);
nderivs.pt := f.R_s*f.d*f.delta*(f.fdelta - f.tau*f.fdeltatau);
nderivs.ht := cv + nderivs.pt/f.d;
nderivs.hd := (nderivs.pd - f.T*nderivs.pt/f.d)/f.d;
end Helmholtz_ph;
function Helmholtz_pT
"Function to calculate analytic derivatives for computing d and t given p and t"
extends Modelica.Icons.Function;
input HelmholtzDerivs f "Dimensionless derivatives of Helmholtz function";
output NewtonDerivatives_pT nderivs
"Derivatives for Newton iteration to compute d and t from p and t";
algorithm
nderivs.p := f.d*f.R_s*f.T*f.delta*f.fdelta;
nderivs.pd := f.R_s*f.T*f.delta*(2.0*f.fdelta + f.delta*f.fdeltadelta);
end Helmholtz_pT;
function Helmholtz_ps
"Function to calculate analytic derivatives for computing d and t given p and s"
extends Modelica.Icons.Function;
input HelmholtzDerivs f "Dimensionless derivatives of Helmholtz function";
output NewtonDerivatives_ps nderivs
"Derivatives for Newton iteration to compute d and t from p and s";
protected
SI.SpecificHeatCapacity cv "Isochoric heat capacity";
algorithm
cv := -f.R_s*(f.tau*f.tau*f.ftautau);
nderivs.p := f.d*f.R_s*f.T*f.delta*f.fdelta;
nderivs.s := f.R_s*(f.tau*f.ftau - f.f);
nderivs.pd := f.R_s*f.T*f.delta*(2.0*f.fdelta + f.delta*f.fdeltadelta);
nderivs.pt := f.R_s*f.d*f.delta*(f.fdelta - f.tau*f.fdeltatau);
nderivs.st := cv/f.T;
nderivs.sd := -nderivs.pt/(f.d*f.d);
end Helmholtz_ps;
function smoothStep
"Approximation of a general step, such that the characteristic is continuous and differentiable"
extends Modelica.Icons.Function;
input Real x "Abscissa value";
input Real y1 "Ordinate value for x > 0";
input Real y2 "Ordinate value for x < 0";
input Real x_small(min=0) = 1e-5
"Approximation of step for -x_small <= x <= x_small; x_small > 0 required";
output Real y "Ordinate value to approximate y = if x > 0 then y1 else y2";
algorithm
y := smooth(1, if x > x_small then y1 else if x < -x_small then y2 else if
abs(x_small) > 0 then (x/x_small)*((x/x_small)^2 - 3)*(y2 - y1)/4 + (y1
+ y2)/2 else (y1 + y2)/2);
</pre></blockquote>
<p>
In the region -x_small < x < x_small a 2nd order polynomial is used
for a smooth transition from y1 to y2.
</p>
<p>
If <strong>mass fractions</strong> X[:] are approximated with this function then this can be performed
for all <strong>nX</strong> mass fractions, instead of applying it for nX-1 mass fractions and computing
the last one by the mass fraction constraint sum(X)=1. The reason is that the approximating function has the
property that sum(X) = 1, provided sum(X_a) = sum(X_b) = 1
(and y1=X_a[i], y2=X_b[i]).
This can be shown by evaluating the approximating function in the abs(x) < x_small
region (otherwise X is either X_a or X_b):
</p>
<blockquote><pre>
X[1] = smoothStep(x, X_a[1] , X_b[1] , x_small);
X[2] = smoothStep(x, X_a[2] , X_b[2] , x_small);
...
X[nX] = smoothStep(x, X_a[nX], X_b[nX], x_small);
</pre></blockquote>
<p>
or
</p>
<blockquote><pre>
X[1] = c*(X_a[1] - X_b[1]) + (X_a[1] + X_b[1])/2
X[2] = c*(X_a[2] - X_b[2]) + (X_a[2] + X_b[2])/2;
...
X[nX] = c*(X_a[nX] - X_b[nX]) + (X_a[nX] + X_b[nX])/2;
c = (x/x_small)*((x/x_small)^2 - 3)/4
</pre></blockquote>
<p>
Summing all mass fractions together results in
</p>
<blockquote><pre>
sum(X) = c*(sum(X_a) - sum(X_b)) + (sum(X_a) + sum(X_b))/2
= c*(1 - 1) + (1 + 1)/2
= 1
</pre></blockquote>
</html>"));
end smoothStep;
function Gibbs2_ph
"Function to calculate analytic derivatives for computing T given p and h"
extends Modelica.Icons.Function;
input Modelica.Media.Common.GibbsDerivs2 g
"Dimensionless derivatives of Gibbs function";
output Modelica.Media.Common.NewtonDerivatives_ph nderivs
"Derivatives for Newton iteration to calculate d and t from p and h";
algorithm
nderivs.h := g.g - g.T*g.gT;
nderivs.ht := -g.T*g.gTT;
//dummy values - DO NOT USE
nderivs.p := 0.0;
nderivs.pd := 0.0;
nderivs.pt := 0.0;
nderivs.hd := 0.0;
end Gibbs2_ph;
function Gibbs2_dT
"Function to calculate analytic derivatives for computing p given d and T"
extends Modelica.Icons.Function;
input Modelica.Media.Common.GibbsDerivs2 g
"Dimensionless derivatives of Gibbs function";
output Modelica.Media.Common.NewtonDerivatives_dT nderivs
"Derivatives for Newton iteration to compute p from d and T";
algorithm
nderivs.v := g.gp;
nderivs.vp := nderivs.v*g.gpp/g.gp;
end Gibbs2_dT;
function Gibbs2_ps
"Function to calculate analytic derivatives for computing d and t given p and s"
extends Modelica.Icons.Function;
input Modelica.Media.Common.GibbsDerivs2 g
"Dimensionless derivatives of Gibbs function";
output Modelica.Media.Common.NewtonDerivatives_ps nderivs
"Derivatives for Newton iteration to compute T from p and s";
algorithm
nderivs.s := -g.gT;
nderivs.st := -g.gTT;
//dummy values - DO NOT USE
nderivs.p := 0.0;
nderivs.pd := 0.0;
nderivs.pt := 0.0;
nderivs.sd := 0.0;
end Gibbs2_ps;
end Common;
end Media; |
R134a: Medium model for R134a | within Modelica.Media;
package R134a "R134a: Medium model for R134a"
extends Modelica.Icons.VariantsPackage;
package Common
extends Modelica.Icons.Package;
record PhaseBoundaryProperties
"Thermodynamic base properties on the phase boundary"
extends Modelica.Icons.Record;
SI.Density d "Density";
SI.SpecificEnthalpy h "Enthalpy";
SI.SpecificEnergy u "Inner energy";
SI.SpecificEntropy s "Entropy";
SI.SpecificHeatCapacity cp
"Heat capacity at constant pressure";
SI.SpecificHeatCapacity cv
"Heat capacity at constant volume";
SI.IsothermalCompressibility kappa "Isentropic exponent";
SI.Velocity a "Velocity of sound";
Modelica.Media.Interfaces.Types.IsobaricExpansionCoefficient beta
"Isobaric expansion coefficient";
SI.IsentropicExponent gamma "Isentropic exponent";
SI.DerPressureByTemperature pt
"Derivative of pressure w.r.t. temperature";
SI.DerPressureByDensity pd
"Derivative of pressure w.r.t. density";
end PhaseBoundaryProperties;
record InverseDerivatives_rhoT
"Derivatives required for inversion of density and temperature functions w.r.t. pressure and enthalpy states"
extends Modelica.Icons.Record;
Integer phase "Number of phases";
SI.Pressure p "Pressure";
SI.Temperature T "Kelvin-temperature";
SI.Density rho "Density";
SI.SpecificEnthalpy h "Specific enthalpy";
SI.SpecificHeatCapacity cv
"Specific heat capacity at constant volume";
Real pt "Derivative of pressure w.r.t. temperature";
Real pd "Derivative of pressure w.r.t. density";
Real dpT "dp/dT derivative of saturation curve";
end InverseDerivatives_rhoT;
record EOSIdealCoeff
"Record for coefficients of ideal term of Helmholtz equation of state"
extends Modelica.Icons.Record;
parameter Integer nc=5 "No. of coefficients in a";
parameter Real[nc] a
"Coefficients of ideal term of Helmholtz equation of state";
end EOSIdealCoeff;
record EOSResidualCoeff
"Record for coefficients of residual term of Helmholtz equation of state"
extends Modelica.Icons.Record;
parameter Integer nc=20 "No. of coefficients in c, d, t, n";
parameter Integer ns1 "No. of zero coefficients in c";
parameter Real[nc] c
"Coefficients of residual term of Helmholtz equation of state";
parameter Real[nc] d
"Coefficients of residual term of Helmholtz equation of state";
parameter Real[nc] t
"Coefficients of residual term of Helmholtz equation of state";
parameter Real[nc] n
"Coefficients of residual term of Helmholtz equation of state";
end EOSResidualCoeff;
function CubicSplineDerEval "Derivative of cubic spline"
extends Modelica.Icons.Function;
input Real x "Input";
input Real[4] coefs "Spline coefficients";
output Real yder "Spline derivative";
algorithm
yder := coefs[3] + x*(2.0*coefs[2] + x*3.0*coefs[1]);
end CubicSplineDerEval;
function CubicSplineEval "Cubic spline"
extends Modelica.Icons.Function;
input Real x "Input";
input Real[4] coefs "Spline coefficients";
output Real y "Output";
algorithm
y := coefs[4] + x*(coefs[3] + x*(coefs[2] + x*coefs[1]));
end CubicSplineEval;
function cv2Phase
"Compute isochoric specific heat capacity inside the two-phase region"
extends Modelica.Icons.Function;
input PhaseBoundaryProperties liq "Properties on the boiling curve";
input PhaseBoundaryProperties vap "Properties on the condensation curve";
input SI.MassFraction x "Vapour mass fraction";
input SI.Temperature T "Temperature";
input SI.Pressure p "Pressure";
output SI.SpecificHeatCapacity cv "Isochoric specific heat capacity";
output Real dpT "Derivative of pressure w.r.t. temperature";
protected
Real dxv "Derivative of vapour mass fraction w.r.t. specific volume";
Real dvTl "Derivative of liquid specific volume w.r.t. temperature";
Real dvTv "Derivative of vapour specific volume w.r.t. temperature";
Real duTl "Derivative of liquid specific inner energy w.r.t. temperature";
Real duTv "Derivative of vapour specific inner energy w.r.t. temperature";
Real dxt "Derivative of vapour mass fraction w.r.t. temperature";
algorithm
dxv := if (liq.d <> vap.d) then liq.d*vap.d/(liq.d - vap.d) else 0.0;
dpT := (vap.s - liq.s)*dxv;
// wrong at critical point
dvTl := (liq.pt - dpT)/liq.pd/liq.d/liq.d;
dvTv := (vap.pt - dpT)/vap.pd/vap.d/vap.d;
dxt := -dxv*(dvTl + x*(dvTv - dvTl));
duTl := liq.cv + (T*liq.pt - p)*dvTl;
duTv := vap.cv + (T*vap.pt - p)*dvTv;
cv := duTl + x*(duTv - duTl) + dxt*(vap.u - liq.u);
end cv2Phase;
function FindInterval "Half-interval search algorithm"
extends Modelica.Icons.Function;
input Real x "Input";
input Real[:] breaks "Grid points defining the intervals";
output Integer i "Found interval number";
output Integer error=0 "1=did not find interval";
protected
Integer n=scalar(size(breaks)) - 1 "Max value";
Integer ix=1 "Min value";
Integer m=n "New interval";
algorithm
i := 1;
if ((x < breaks[1]) or (x >= breaks[n])) then
error := 1;
end if;
if ((x < breaks[1]) or (x >= breaks[2])) then
while m <> ix loop
if (x < breaks[m]) then
n := m;
else
ix := m;
end if;
m := integer(div(ix + n, 2));
end while;
i := ix;
end if;
end FindInterval;
function helmholtzToBoundaryProps
"Calculate phase boundary property record from dimensionless Helmholtz function"
extends Modelica.Icons.Function;
input Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless derivatives of Helmholtz function";
output PhaseBoundaryProperties sat "Phase boundary property record";
protected
SI.Pressure p "Pressure";
algorithm
p := f.R_s*f.d*f.T*f.delta*f.fdelta;
sat.d := f.d;
sat.h := f.R_s*f.T*(f.tau*f.ftau + f.delta*f.fdelta);
sat.s := f.R_s*(f.tau*f.ftau - f.f);
sat.u := f.R_s*f.T*f.tau*f.ftau;
sat.cp := f.R_s*(-f.tau*f.tau*f.ftautau + (f.delta*f.fdelta - f.delta*f.tau
*f.fdeltatau)^2/(2*f.delta*f.fdelta + f.delta*f.delta*f.fdeltadelta));
sat.cv := f.R_s*(-f.tau*f.tau*f.ftautau);
sat.pt := f.R_s*f.d*(f.delta*(f.fdelta - f.tau*f.fdeltatau));
sat.pd := f.R_s*f.T*(f.delta*(2.0*f.fdelta + f.delta*f.fdeltadelta));
sat.a := sqrt(abs(f.R_s*f.T*(2*f.delta*f.fdelta + f.delta*f.delta*f.fdeltadelta
- ((f.delta*f.fdelta - f.delta*f.tau*f.fdeltatau)*(f.delta*f.fdelta -
f.delta*f.tau*f.fdeltatau))/(f.tau*f.tau*f.ftautau))));
sat.kappa := 1/(f.d*f.R_s*f.T*f.delta*(2.0*f.fdelta + f.delta*f.fdeltadelta));
sat.beta := f.R_s*f.d*f.delta*(f.fdelta - f.tau*f.fdeltatau)*sat.kappa;
sat.gamma := sat.a^2/f.R_s/f.T;
end helmholtzToBoundaryProps;
end Common;
package R134a_ph "Medium model for R134a and p,h as states"
extends Modelica.Media.Interfaces.PartialTwoPhaseMedium(
ThermoStates=Modelica.Media.Interfaces.Choices.IndependentVariables.ph,
mediumName="R134a_ph",
substanceNames={"tetrafluoroethane"},
singleState=false,
SpecificEnthalpy(start=h_default, nominal=5.0e5),
Density(start=4, nominal=500),
AbsolutePressure(start=p_default, nominal=10e5),
Temperature(start=T_default, nominal=350),
smoothModel=false,
onePhase=false,
fluidConstants=r134aConstants,
h_default=420e3);
constant Boolean ph_explicit=true;
constant Boolean dT_explicit=false;
constant Modelica.Media.Interfaces.Types.FluidLimits[1] r134aLimits(
each TMIN=169.85,
each TMAX=455,
each DMIN=0,
each DMAX=1591.7,
each PMIN=389.563789,
each PMAX=7e7,
each HMIN=0,
each HMAX=0,
each SMIN=0,
each SMAX=0);
constant Modelica.Media.Interfaces.Types.TwoPhase.FluidConstants[1]
r134aConstants(
each chemicalFormula="CF3CH2F",
each structureFormula="1,1,1,2-tetrafluoroethane",
each iupacName="tetrafluoroethane",
each casRegistryNumber="811-97-2",
each molarMass=R134aData.data.MM,
each criticalMolarVolume=R134aData.data.MM/R134aData.data.DCRIT,
each criticalTemperature=R134aData.data.TCRIT,
each criticalPressure=R134aData.data.PCRIT,
each triplePointTemperature=R134aData.data.TTRIPLE,
each triplePointPressure=R134aData.data.PTRIPLE,
each meltingPoint=172.15,
each normalBoilingPoint=247.076,
each acentricFactor=0.32684,
each dipoleMoment=1.99,
each hasCriticalData=true);
redeclare record extends SaturationProperties
end SaturationProperties;
redeclare record extends ThermodynamicState "Thermodynamic state"
SpecificEnthalpy h "Specific enthalpy";
Density d "Density";
Temperature T "Temperature";
AbsolutePressure p "Pressure";
end ThermodynamicState;
redeclare replaceable model extends BaseProperties(
h(stateSelect=StateSelect.prefer),
d(stateSelect=StateSelect.default),
T(stateSelect=StateSelect.default),
p(stateSelect=StateSelect.prefer),
sat(Tsat(start=273.0), psat(start=3.0e5))) "Base properties of R134a"
Integer phase(
min=0,
max=2,
start=1,
fixed=false) "2 for two-phase, 1 for one-phase, 0 if not known";
MassFraction quality "Quality of vapour";
equation
MM = R134aData.data.MM;
phase = 0;
T = temperature_ph(p, h);
d = density_ph(p, h);
sat.Tsat = saturationTemperature(p=p);
sat.psat = p;
quality = vapourQuality(state);
u = h - p/d;
R_s = R134aData.data.R_s;
h = state.h;
p = state.p;
T = state.T;
d = state.d;
phase = state.phase;
end BaseProperties;
redeclare function extends setState_phX
"Set state for pressure and specific enthalpy (X not used since single substance)"
algorithm
state := ThermodynamicState(
phase=if ((h < bubbleEnthalpy(SaturationProperties(psat=p,Tsat=0)) or (h > dewEnthalpy(SaturationProperties(psat=p,Tsat=0)))
or (p > R134aData.data.FPCRIT))) then 1 else 2, p=p, h=h, d=density_ph(p, h), T=temperature_ph(p, h));
</pre></blockquote>
</html>", revisions="<html>
<p>2020-01-20 Stefan Wischhusen: Converted into single line assignment for state record.</p>
</html>"));
end setState_phX;
redeclare function extends setState_dTX
"Set state for density and temperature (X not used since single substance)"
protected
Modelica.Media.Common.HelmholtzDerivs f "Helmholtz derivatives";
SI.SpecificHeatCapacity R_s "Specific gas constant";
SaturationProperties sat "Saturation temperature and pressure";
SI.Density dl "Liquid density";
SI.Density dv "Vapor density";
algorithm
R_s := R134aData.data.R_s;
sat := setSat_T(T);
dl := bubbleDensity(sat);
dv := dewDensity(sat);
if d < dl and d > dv and T < R134aData.data.FTCRIT then
f := Modelica.Media.Common.HelmholtzDerivs(
d=d, T=T, R_s=R_s, delta=0, tau=0, f=0, fdelta=0,
fdeltadelta=0, ftau=0, ftautau=0, fdeltatau=0);
state.p := saturationPressure_sat(sat);
state.h := (dl*dv/d*(dewEnthalpy(sat) - bubbleEnthalpy(sat))
- dv*dewEnthalpy(sat) + dl*bubbleEnthalpy(sat))/(dl - dv);
state.phase := 2;
else
f := f_R134a(d=d, T=T);
state.p := d*R_s*T*f.delta*f.fdelta;
state.h := R_s*T*(f.tau*f.ftau + f.delta*f.fdelta);
state.phase := 1;
end if;
state.T := T;
state.d := d;
</pre></blockquote>
</html>"));
end setState_dTX;
redeclare function extends setState_psX
"Set state for pressure and specific entropy (X not used since single substance)"
protected
SI.Pressure delp=1e-2 "Iteration accuracy for pressure";
SI.SpecificEntropy dels=1e-1
"Iteration accuracy for entropy";
Integer error "If newton iteration fails (too many calls)";
Modelica.Media.Common.HelmholtzDerivs f "Helmholtz derivatives";
SaturationProperties sat "Saturation temperature and pressure";
algorithm
state.p := p;
state.phase := getPhase_ps(p, s);
if state.phase == 1 then
(state.d, state.T, error) := dtofpsOnePhase(
p=p,
s=s,
delp=delp,
dels=dels);
f := f_R134a(d=state.d, T=state.T);
state.h := R134aData.R_s*state.T*(f.tau*f.ftau + f.delta*f.fdelta);
else
state.h := hofpsTwoPhase(p, s);
(state.d, state.T) := dt_ph(p, state.h);
end if;
</pre></blockquote>
</html>", revisions="<html>
<p>2020-02-05 Stefan Wischhusen: Added missing property calculation for d and T.</p>
</html>"));
end setState_psX;
redeclare function extends setState_pTX
"Set state for pressure and temperature (X not used since single substance)"
protected
SI.Pressure delp=1.0e-2
"Relative error in p in iteration";
algorithm
Modelica.Media.R134a.R134a_ph.phaseBoundaryAssert(p, T);
state := ThermodynamicState(
d=dofpT(p, T, delp),
T=T,
h=hofpT(p, T, delp),
p=p,
phase=1);
</pre></blockquote>
<p>
Please note, that in contrast to setState_phX, setState_dTX and setState_psX this function can not calculate properties in the two-phase region since pressure and temperature are dependent variables. A guard function will be called if the temperature difference to the phase boundary is lower than 1K or the pressure difference to the critical pressure is lower than 1000 Pa.
</p>
</html>"));
end setState_pTX;
redeclare function extends setBubbleState
"Return the thermodynamic state on the bubble line"
algorithm
if sat.psat < Modelica.Media.R134a.R134aData.data.FPCRIT then
state.p := sat.psat;
state.T := saturationTemperature(sat.psat);
state.d := bubbleDensity(sat);
state.h := bubbleEnthalpy(sat);
else
assert(sat.psat < Modelica.Media.R134a.R134aData.data.FPCRIT,
"Function setBubbleState is only valid in two-phase regime");
end if;
</pre></blockquote>
<h4> Restrictions</h4>
<p>It is only valid in the two-phase region (i.e., p<sub>triple</sub> ≤ p ≤ p<sub>crit</sub> ).
</p>
</html>"));
end setBubbleState;
redeclare function extends setDewState
"Return the thermodynamic state on the dew line"
algorithm
if sat.psat < Modelica.Media.R134a.R134aData.data.FPCRIT then
state.p := sat.psat;
state.T := saturationTemperature(sat.psat);
state.d := dewDensity(sat);
state.h := dewEnthalpy(sat);
else
assert(sat.psat < Modelica.Media.R134a.R134aData.data.FPCRIT,
"Function setDewState is only valid in two-phase regime");
end if;
</pre></blockquote>
<h4> Restrictions</h4>
<p>It is only valid in the two-phase region (i.e., p<sub>triple</sub> ≤ p ≤ p<sub>crit</sub> ).
</p>
</html>"));
end setDewState;
redeclare function density_ph
"Density as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
output Density d "Density";
algorithm
d := rho_props_ph(
p,
h,
derivsOf_ph(
p,
h,
getPhase_ph(p, h)));
end density_ph;
redeclare function extends density
"Density as function of pressure and specific enthalpy | use setState_phX function for input"
algorithm
d := state.d;
end density;
redeclare function temperature_ph
"Temperature as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
output Temperature T "Temperature";
algorithm
T := T_props_ph(
p,
h,
derivsOf_ph(
p,
h,
getPhase_ph(p, h)));
end temperature_ph;
redeclare function extends temperature
"Temperature as function of pressure and specific enthalpy | use setState_phX function for input"
algorithm
T := state.T;
end temperature;
redeclare function extends pressure "Pressure w.r.t. thermodynamic state"
algorithm
p := state.p;
end pressure;
redeclare function extends specificInternalEnergy
"Specific internal energy w.r.t. thermodynamic state"
algorithm
u := specificEnthalpy(state) - pressure(state)/density(state);
end specificInternalEnergy;
redeclare function extends specificEnthalpy
"Specific enthalpy w.r.t. thermodynamic state | use setState_phX function for input"
algorithm
h := state.h;
end specificEnthalpy;
redeclare function extends specificEntropy
"Specific entropy w.r.t. thermodynamic state | use setState_phX function for input if necessary"
protected
Modelica.Media.Common.HelmholtzDerivs f "Helmholtz derivatives";
Common.PhaseBoundaryProperties liq "Properties on liquid phase boundary";
SaturationProperties sat "Saturation temperature and pressure";
Common.PhaseBoundaryProperties vap "Properties on vapor phase boundary";
SI.MassFraction x "Vapor quality";
algorithm
if getPhase_ph(state.p, state.h) == 2 then
sat.psat := state.p;
sat.Tsat := saturationTemperature(state.p);
liq := R134a_liqofdT(T=state.T);
vap := R134a_vapofdT(T=state.T);
x := if liq.h <> vap.h then (state.h - liq.h)/(vap.h - liq.h) else if
state.h >= vap.h then 1 else 0;
s := liq.s + x*(vap.s - liq.s);
else
f := f_R134a(state.d, state.T);
s := R134aData.R_s*(f.tau*f.ftau - f.f);
end if;
end specificEntropy;
redeclare function extends saturationTemperature
"Saturation temperature in two-phase region"
protected
constant Real T_coef[:, :]=R134aData.Tcoef
"Coefficients of cubic spline for Tsat(p)";
constant Real p_breaks[:]=R134aData.pbreaks
"Grid points of reduced pressure";
Integer int "Interval number";
Integer error "Interval for spline interpolation not found";
Real pred "Reduced pressure";
Real localx "Abscissa of local spline";
algorithm
pred := p/R134aData.data.FPCRIT;
(int,error) := Common.FindInterval(pred, p_breaks);
localx := pred - p_breaks[int];
T := Common.CubicSplineEval(localx, T_coef[int, :]);
//
end saturationTemperature;
redeclare function extends saturationTemperature_derp
"Derivative of saturation temperature in two-phase region"
protected
constant Real T_coef[:, :]=R134aData.Tcoef
"Coefficients of cubic spline for Tsat(p)";
constant Real p_breaks[:]=R134aData.pbreaks
"Grid points of reduced pressure";
Integer int "Interval number";
Integer error "Interval for spline interpolation not found";
Real pred "Reduced pressure";
Real localx "Abscissa of local spline";
algorithm
pred := p/R134aData.data.FPCRIT;
(int,error) := Common.FindInterval(pred, p_breaks);
localx := pred - p_breaks[int];
dTp := Common.CubicSplineDerEval(localx, T_coef[int, :])/R134aData.data.FPCRIT;
end saturationTemperature_derp;
function saturationTemperature_der_p
"Time derivative of saturation temperature in two-phase region"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input Real der_p "Time derivative of pressure";
output Real der_Tsat "Time derivative of saturation temperature";
protected
constant Real T_coef[:, :]=R134aData.Tcoef
"Coefficients of cubic spline for Tsat(p)";
constant Real p_breaks[:]=R134aData.pbreaks
"Grid points of reduced pressure";
Integer int "Interval number";
Integer error "Interval for spline interpolation not found";
Real pred "Reduced pressure";
Real localx "Abscissa of local spline";
algorithm
pred := p/R134aData.data.FPCRIT;
(int,error) := Common.FindInterval(pred, p_breaks);
localx := pred - p_breaks[int];
der_Tsat := Common.CubicSplineDerEval(localx, T_coef[int, :])/R134aData.data.FPCRIT
*der_p;
end saturationTemperature_der_p;
redeclare function extends bubbleDensity
"Density of liquid phase w.r.t. saturation pressure | use setSat_p function for input"
protected
constant Real dl_coef[:, :]=R134aData.dlcoef
"Coefficients of cubic spline for d_liq(p)";
constant Real p_breaks[:]=R134aData.pbreaks
"Grid points of reduced pressure";
Integer int "Interval number";
Integer error "Interval for spline interpolation not found";
Real pred "Reduced pressure";
Real localx "Abscissa of local spline";
algorithm
pred := min(sat.psat/R134aData.data.FPCRIT, 1.0);
(int,error) := Common.FindInterval(pred, p_breaks);
localx := pred - p_breaks[int];
dl := R134aData.data.FDCRIT*Common.CubicSplineEval(localx, dl_coef[int, 1
:4]);
//
end bubbleDensity;
redeclare function extends dBubbleDensity_dPressure
"Derivative of liquid density in two-phase region w.r.t. pressure"
protected
constant Real dl_coef[:, :]=R134aData.dlcoef
"Coefficients of cubic spline for d_liq(p)";
constant Real p_breaks[:]=R134aData.pbreaks
"Grid points of reduced pressure";
Integer int "Interval number";
Integer error "Interval for spline interpolation not found";
Real pred "Reduced pressure";
Real localx "Abscissa of local spline";
algorithm
pred := min(sat.psat/R134aData.data.FPCRIT, 1.0);
(int,error) := Common.FindInterval(pred, p_breaks);
localx := pred - p_breaks[int];
ddldp := R134aData.data.FDCRIT*Common.CubicSplineDerEval(localx, dl_coef[
int, 1:4])/R134aData.data.FPCRIT;
end dBubbleDensity_dPressure;
function dBubbleDensity_dPressure_der_sat
"Time derivative of liquid density in two-phase region w.r.t. pressure"
extends Modelica.Icons.Function;
input SaturationProperties sat
"Saturation properties | pressure is used for interpolation";
input SaturationProperties der_sat "Derivative of saturation properties";
output Real der_ddldp
"Time derivative of liquid density in two-phase region w.r.t. pressure";
protected
constant Real dl_coef[:, :]=R134aData.dlcoef
"Coefficients of cubic spline for d_liq(p)";
constant Real p_breaks[:]=R134aData.pbreaks
"Grid points of reduced pressure";
Integer int "Interval number";
Integer error "Interval for spline interpolation not found";
Real pred "Reduced pressure";
Real localx "Abscissa of local spline";
algorithm
pred := min(sat.psat/R134aData.data.FPCRIT, 1.0);
(int,error) := Common.FindInterval(pred, p_breaks);
localx := pred - p_breaks[int];
der_ddldp := R134aData.data.FDCRIT*Common.CubicSplineDerEval(localx,
dl_coef[int, 1:4])/R134aData.data.FPCRIT*der_sat.psat;
end dBubbleDensity_dPressure_der_sat;
redeclare function extends dewDensity
"Density of vapor phase w.r.t. saturation pressure | use setSat_p function for input"
protected
constant Real dv_coef[:, :]=R134aData.dvcoef
"Coefficients of cubic spline for d_vap(p)";
constant Real p_breaks[:]=R134aData.pbreaks
"Grid points of reduced pressure";
Integer int "Interval number";
Integer error "Interval for spline interpolation not found";
Real pred "Reduced pressure";
Real localx "Abscissa of local spline";
algorithm
pred := min(sat.psat/R134aData.data.FPCRIT, 1.0);
(int,error) := Common.FindInterval(pred, p_breaks);
localx := pred - p_breaks[int];
dv := R134aData.data.FDCRIT*Common.CubicSplineEval(localx, dv_coef[int, 1
:4]);
//
end dewDensity;
redeclare function extends dDewDensity_dPressure
"Derivative of vapor density in two-phase region w.r.t. pressure"
protected
constant Real dv_coef[:, :]=R134aData.dvcoef
"Coefficients of cubic spline for d_vap(p)";
constant Real p_breaks[:]=R134aData.pbreaks
"Grid points of reduced pressure";
Integer int "Interval number";
Integer error "Interval for spline interpolation not found";
Real pred "Reduced pressure";
Real localx "Abscissa of local spline";
algorithm
pred := min(sat.psat/R134aData.data.FPCRIT, 1.0);
(int,error) := Common.FindInterval(pred, p_breaks);
localx := pred - p_breaks[int];
ddvdp := R134aData.data.FDCRIT*Common.CubicSplineDerEval(localx, dv_coef[
int, 1:4])/R134aData.data.FPCRIT;
end dDewDensity_dPressure;
function dDewDensity_dPressure_der_sat
"Time derivative of vapor density in two-phase region w.r.t. pressure"
extends Modelica.Icons.Function;
input SaturationProperties sat
"Saturation properties | pressure is used for interpolation";
input SaturationProperties der_sat "Derivative of saturation properties";
output Real der_ddvdp
"Time derivative of vapor density in two-phase region w.r.t. pressure";
protected
constant Real dv_coef[:, :]=R134aData.dvcoef
"Coefficients of cubic spline for d_vap(p)";
constant Real p_breaks[:]=R134aData.pbreaks
"Grid points of reduced pressure";
Integer int "Interval number";
Integer error "Interval for spline interpolation not found";
Real pred "Reduced pressure";
Real localx "Abscissa of local spline";
algorithm
pred := min(sat.psat/R134aData.data.FPCRIT, 1.0);
(int,error) := Common.FindInterval(pred, p_breaks);
localx := pred - p_breaks[int];
der_ddvdp := R134aData.data.FDCRIT*Common.CubicSplineDerEval(localx,
dv_coef[int, 1:4])/R134aData.data.FPCRIT*der_sat.psat;
end dDewDensity_dPressure_der_sat;
redeclare function extends bubbleEnthalpy
"Specific enthalpy of liquid phase w.r.t. saturation pressure | use setSat_p function for input"
protected
constant Real hl_coef[:, :]=R134aData.hlcoef
"Coefficients of cubic spline for h_liq(p)";
constant Real p_breaks[:]=R134aData.pbreaks
"Grid points of reduced pressure";
Integer int "Interval number";
Integer error "Interval for spline interpolation not found";
Real pred "Reduced pressure";
Real localx "Abscissa of local spline";
algorithm
pred := min(sat.psat/R134aData.data.FPCRIT, 1.0);
(int,error) := Common.FindInterval(pred, p_breaks);
localx := pred - p_breaks[int];
hl := R134aData.data.HCRIT*Common.CubicSplineEval(localx, hl_coef[int, 1:
4]);
//
end bubbleEnthalpy;
redeclare function extends dBubbleEnthalpy_dPressure
"Derivative of liquid specific enthalpy in two-phase region w.r.t. pressure"
protected
constant Real hl_coef[:, :]=R134aData.hlcoef
"Coefficients of cubic spline for h_liq(p)";
constant Real p_breaks[:]=R134aData.pbreaks
"Grid points of reduced pressure";
Integer int "Interval number";
Integer error "Interval for spline interpolation not found";
Real pred "Reduced pressure";
Real localx "Abscissa of local spline";
algorithm
pred := min(sat.psat/R134aData.data.FPCRIT, 1.0);
(int,error) := Common.FindInterval(pred, p_breaks);
localx := pred - p_breaks[int];
dhldp := R134aData.data.HCRIT*Common.CubicSplineDerEval(localx, hl_coef[
int, 1:4])/R134aData.data.FPCRIT;
end dBubbleEnthalpy_dPressure;
function dBubbleEnthalpy_dPressure_der_sat
"Time derivative of liquid specific enthalpy in two-phase region w.r.t. pressure"
extends Modelica.Icons.Function;
input SaturationProperties sat
"Saturation properties | pressure is used for interpolation";
input SaturationProperties der_sat "Derivative of saturation properties";
output Real der_dhldp
"Time derivative of liquid specific enthalpy in two-phase region w.r.t. pressure";
protected
constant Real hl_coef[:, :]=R134aData.hlcoef
"Coefficients of cubic spline for h_liq(p)";
constant Real p_breaks[:]=R134aData.pbreaks
"Grid points of reduced pressure";
Integer int "Interval number";
Integer error "Interval for spline interpolation not found";
Real pred "Reduced pressure";
Real localx "Abscissa of local spline";
algorithm
pred := min(sat.psat/R134aData.data.FPCRIT, 1.0);
(int,error) := Common.FindInterval(pred, p_breaks);
localx := pred - p_breaks[int];
der_dhldp := R134aData.data.HCRIT*Common.CubicSplineDerEval(localx,
hl_coef[int, 1:4])/R134aData.data.FPCRIT*der_sat.psat;
end dBubbleEnthalpy_dPressure_der_sat;
redeclare function extends dewEnthalpy
"Specific enthalpy of vapor phase w.r.t. saturation pressure | use setSat_p function for input"
protected
constant Real hv_coef[:, :]=R134aData.hvcoef
"Coefficients of cubic spline for h_vap(p)";
constant Real p_breaks[:]=R134aData.pbreaks
"Grid points of reduced pressure";
Integer int "Interval number";
Integer error "Interval for spline interpolation not found";
Real pred "Reduced pressure";
Real localx "Abscissa of local spline";
algorithm
pred := min(sat.psat/R134aData.data.FPCRIT, 1.0);
(int,error) := Common.FindInterval(pred, p_breaks);
localx := pred - p_breaks[int];
hv := R134aData.data.HCRIT*Common.CubicSplineEval(localx, hv_coef[int, 1:
4]);
//
end dewEnthalpy;
redeclare function extends dDewEnthalpy_dPressure
"Derivative of vapor specific enthalpy in two-phase region w.r.t. pressure"
protected
constant Real hv_coef[:, :]=R134aData.hvcoef
"Coefficients of cubic spline for h_vap(p)";
constant Real p_breaks[:]=R134aData.pbreaks
"Grid points of reduced pressure";
Integer int "Interval number";
Integer error "Interval for spline interpolation not found";
Real pred "Reduced pressure";
Real localx "Abscissa of local spline";
algorithm
pred := min(sat.psat/R134aData.data.FPCRIT, 1.0);
(int,error) := Common.FindInterval(pred, p_breaks);
localx := pred - p_breaks[int];
dhvdp := R134aData.data.HCRIT*Common.CubicSplineDerEval(localx, hv_coef[
int, 1:4])/R134aData.data.FPCRIT;
end dDewEnthalpy_dPressure;
function dDewEnthalpy_dPressure_der_sat
"Time derivative of vapor specific enthalpy in two-phase region w.r.t. pressure"
extends Modelica.Icons.Function;
input SaturationProperties sat
"Saturation properties | pressure is used for interpolation";
input SaturationProperties der_sat "Derivative of saturation properties";
output Real der_dhvdp
"Derivative of vapor specific enthalpy in two-phase region w.r.t. pressure";
protected
constant Real hv_coef[:, :]=R134aData.hvcoef
"Coefficients of cubic spline for h_vap(p)";
constant Real p_breaks[:]=R134aData.pbreaks
"Grid points of reduced pressure";
Integer int "Interval number";
Integer error "Interval for spline interpolation not found";
Real pred "Reduced pressure";
Real localx "Abscissa of local spline";
algorithm
pred := min(sat.psat/R134aData.data.FPCRIT, 1.0);
(int,error) := Common.FindInterval(pred, p_breaks);
localx := pred - p_breaks[int];
der_dhvdp := R134aData.data.HCRIT*Common.CubicSplineDerEval(localx,
hv_coef[int, 1:4])/R134aData.data.FPCRIT*der_sat.psat;
end dDewEnthalpy_dPressure_der_sat;
redeclare function extends dewEntropy
"Specific entropy of vapor phase w.r.t. saturation pressure | use setSat_p function for input"
protected
constant Real sv_coef[:, :]=R134aData.svcoef
"Coefficients of cubic spline for s_vap(p)";
constant Real p_breaks[:]=R134aData.pbreaks
"Grid points of reduced pressure";
Integer int "Interval number";
Integer error "Interval for spline interpolation not found";
Real pred "Reduced pressure";
Real localx "Abscissa of local spline";
algorithm
pred := min(sat.psat/R134aData.data.FPCRIT, 1.0);
(int,error) := Common.FindInterval(pred, p_breaks);
localx := pred - p_breaks[int];
sv := R134aData.data.SCRIT*Common.CubicSplineEval(localx, sv_coef[int, 1:
4]);
//
end dewEntropy;
function dDewEntropy_dPressure
"Derivative of vapor specific entropy in two-phase region w.r.t. pressure | use setState_phX function for input"
extends Modelica.Icons.Function;
input SaturationProperties sat
"Saturation properties | pressure is used for interpolation";
output Real dsvdp
"Derivative of vapor specific entropy in two-phase region w.r.t. pressure";
protected
constant Real sv_coef[:, :]=R134aData.svcoef
"Coefficients of cubic spline for s_vap(p)";
constant Real p_breaks[:]=R134aData.pbreaks
"Grid points of reduced pressure";
Integer int "Interval number";
Integer error "Interval for spline interpolation not found";
Real pred "Reduced pressure";
Real localx "Abscissa of local spline";
algorithm
pred := min(sat.psat/R134aData.data.FPCRIT, 1.0);
(int,error) := Common.FindInterval(pred, p_breaks);
localx := pred - p_breaks[int];
dsvdp := R134aData.data.SCRIT*Common.CubicSplineDerEval(localx, sv_coef[
int, 1:4])/R134aData.data.FPCRIT;
end dDewEntropy_dPressure;
function dDewEntropy_dPressure_der_sat
"Time derivative of vapor specific entropy in two-phase region w.r.t. pressure | use setState_phX function for input"
extends Modelica.Icons.Function;
input SaturationProperties sat
"Saturation properties | pressure is used for interpolation";
input SaturationProperties der_sat "Derivative of saturation properties";
output Real der_dsvdp
"Derivative of vapor specific entropy in two-phase region w.r.t. pressure";
protected
constant Real sv_coef[:, :]=R134aData.svcoef
"Coefficients of cubic spline for s_liq(p)";
constant Real p_breaks[:]=R134aData.pbreaks
"Grid points of reduced pressure";
Integer int "Interval number";
Integer error "Interval for spline interpolation not found";
Real pred "Reduced pressure";
Real localx "Abscissa of local spline";
algorithm
pred := min(sat.psat/R134aData.data.FPCRIT, 1.0);
(int,error) := Common.FindInterval(pred, p_breaks);
localx := pred - p_breaks[int];
der_dsvdp := R134aData.data.SCRIT*Common.CubicSplineDerEval(localx,
sv_coef[int, 1:4])/R134aData.data.FPCRIT*der_sat.psat;
end dDewEntropy_dPressure_der_sat;
redeclare function extends bubbleEntropy
"Specific entropy of liquid phase w.r.t. saturation pressure | use setSat_p function for input"
protected
constant Real sl_coef[:, :]=R134aData.slcoef
"Coefficients of cubic spline for s_liq(p)";
constant Real p_breaks[:]=R134aData.pbreaks
"Grid points of reduced pressure";
Integer int "Interval number";
Integer error "Interval for spline interpolation not found";
Real pred "Reduced pressure";
Real localx "Abscissa of local spline";
algorithm
pred := min(sat.psat/R134aData.data.FPCRIT, 1.0);
(int,error) := Common.FindInterval(pred, p_breaks);
localx := pred - p_breaks[int];
sl := R134aData.data.SCRIT*Common.CubicSplineEval(localx, sl_coef[int, 1:
4]);
//
end bubbleEntropy;
function dBubbleEntropy_dPressure
"Derivative of liquid specific entropy in two-phase region w.r.t. pressure | use setState_phX function for input"
extends Modelica.Icons.Function;
input SaturationProperties sat
"Saturation properties | pressure is used for interpolation";
output Real dsldp
"Derivative of liquid specific entropy in two-phase region w.r.t. pressure";
protected
constant Real sl_coef[:, :]=R134aData.slcoef
"Coefficients of cubic spline for s_liq(p)";
constant Real p_breaks[:]=R134aData.pbreaks
"Grid points of reduced pressure";
Integer int "Interval number";
Integer error "Interval for spline interpolation not found";
Real pred "Reduced pressure";
Real localx "Abscissa of local spline";
algorithm
pred := min(sat.psat/R134aData.data.FPCRIT, 1.0);
(int,error) := Common.FindInterval(pred, p_breaks);
localx := pred - p_breaks[int];
dsldp := R134aData.data.SCRIT*Common.CubicSplineDerEval(localx, sl_coef[
int, 1:4])/R134aData.data.FPCRIT;
end dBubbleEntropy_dPressure;
function dBubbleEntropy_dPressure_der_sat
"Time derivative of liquid specific entropy in two-phase region w.r.t. pressure | use setState_phX function for input"
extends Modelica.Icons.Function;
input SaturationProperties sat
"Saturation properties | pressure is used for interpolation";
input SaturationProperties der_sat "Derivative of saturation properties";
output Real der_dsldp
"Derivative of liquid specific entropy in two-phase region w.r.t. pressure";
protected
constant Real sl_coef[:, :]=R134aData.slcoef
"Coefficients of cubic spline for s_liq(p)";
constant Real p_breaks[:]=R134aData.pbreaks
"Grid points of reduced pressure";
Integer int "Interval number";
Integer error "Interval for spline interpolation not found";
Real pred "Reduced pressure";
Real localx "Abscissa of local spline";
algorithm
pred := min(sat.psat/R134aData.data.FPCRIT, 1.0);
(int,error) := Common.FindInterval(pred, p_breaks);
localx := pred - p_breaks[int];
der_dsldp := R134aData.data.SCRIT*Common.CubicSplineDerEval(localx,
sl_coef[int, 1:4])/R134aData.data.FPCRIT*der_sat.psat;
end dBubbleEntropy_dPressure_der_sat;
redeclare function extends saturationPressure
"Saturation pressure w.r.t. temperature"
protected
constant Real pt_coef[:, :]=R134aData.ptcoef
"Coefficients of cubic spline for psat(T)";
constant Real T_breaks[:]=R134aData.Tbreaks
"Grid points of reduced pressure";
Real Tred "Reduced temperature";
Integer int "Interval number";
Integer error "Interval for spline interpolation not found";
Real pred "Reduced pressure";
Real localx "Abscissa of local spline";
algorithm
Tred := T/R134aData.data.FTCRIT;
(int,error) := Common.FindInterval(Tred, T_breaks);
localx := Tred - T_breaks[int];
p := R134aData.data.FPCRIT*Common.CubicSplineEval(localx, pt_coef[int, :]);
end saturationPressure;
redeclare function extends specificHeatCapacityCp
"Specific heat capacity at constant pressure | turns infinite in two-phase region! | use setState_phX function for input"
protected
Modelica.Media.Common.HelmholtzDerivs f "Helmholtz derivatives";
algorithm
f := f_R134a(state.d, state.T);
cp := if getPhase_ph(state.p, state.h) == 2 then 0 else R134aData.R_s*(-f.tau
*f.tau*f.ftautau + (f.delta*f.fdelta - f.delta*f.tau*f.fdeltatau)^2/(2*
f.delta*f.fdelta + f.delta*f.delta*f.fdeltadelta));
end specificHeatCapacityCp;
redeclare function extends specificHeatCapacityCv
"Specific heat capacity at constant volume | use setState_phX function for input"
protected
Modelica.Media.Common.HelmholtzDerivs f "Helmholtz derivatives";
Common.PhaseBoundaryProperties liq "Properties on liquid phase boundary";
SaturationProperties sat "Saturation temperature and pressure";
Common.PhaseBoundaryProperties vap "Properties on vapor phase boundary";
SI.MassFraction x "Vapor quality";
algorithm
if getPhase_ph(state.p, state.h) == 2 then
sat.psat := state.p;
sat.Tsat := saturationTemperature(state.p);
liq := R134a_liqofdT(T=state.T);
vap := R134a_vapofdT(T=state.T);
x := if liq.h <> vap.h then (state.h - liq.h)/(vap.h - liq.h) else if
state.h >= vap.h then 1 else 0;
cv := Common.cv2Phase(
liq=liq,
vap=vap,
x=x,
T=state.T,
p=state.p);
else
f := f_R134a(state.d, state.T);
cv := R134aData.R_s*(-f.tau*f.tau*f.ftautau);
end if;
end specificHeatCapacityCv;
redeclare function extends dynamicViscosity
"Dynamic viscosity w.r.t. temperature and density | use setState_phX function for input"
protected
Real omega_log "Log of collision integral";
Real omega "Collision integral";
constant Real K=0.021357 "Constant for low density term eta_star";
constant SI.Length sigma=0.50647e-09 "Hard-sphere diameter";
constant SI.Temperature epsilon_k=288.82 "Empirical factor";
constant Real a[5]={2.218816e-01,-5.079322e-01,1.285776e-01,-8.328165e-02,
-2.713173e-02} "Coefficients for term of collision integral";
constant Real b[13]={-1.7999496,4.6692621e+01,-5.3460794e+02,
3.3604074e+03,-1.3019164e+04,3.3414230e+04,-5.8711743e+04,
7.1426686e+04,-5.9834012e+04,3.3652741e+04,-1.2027350e+04,
2.4348205e+03,-2.0807957e+02}
"Coefficients for term of 2nd viscosity virial coefficient";
constant Real c[6]={-0.331249e-01,-0.468509e-03,0.156983,3.073830,-0.306398,
0.215221} "Coefficients for term of residual viscosity";
constant Real DCRIT_mol=4.9788 "Critical density in mol/l";
Real d_red "Reduced density";
Real B_eta "2nd viscosity virial coeff.";
Real E "Temperature contribution to residual viscosity";
Real eta_res "Residual part";
Real eta_star "Dilute part";
algorithm
omega_log := 0;
for i in 1:5 loop
omega_log := omega_log + a[i]*(Modelica.Math.log(state.T/epsilon_k))^(i
- 1);
end for;
omega := Modelica.Math.exp(omega_log);
eta_star := (K*sqrt(R134aData.data.MM*1000))/((sigma*1e+09)^2*omega)*sqrt(
state.T);
d_red := state.d/R134aData.data.DCRIT;
E := 1 + c[3]*state.T/R134aData.data.TCRIT;
B_eta := 0;
for i in 1:13 loop
B_eta := B_eta + b[i]*(sqrt(state.T/epsilon_k))^(i - 1);
end for;
B_eta := B_eta*602.2137*(sigma)^3*DCRIT_mol;
eta_res := (c[1] + B_eta*eta_star)*d_red + c[2]*d_red^2 + (c[5] + c[6]*
d_red)/(c[4]*E - d_red) - c[5]/(c[4]*E);
eta := (eta_star + eta_res*1e3)*1e-06;
end dynamicViscosity;
redeclare function extends thermalConductivity
"Thermal conductivity w.r.t. thermodynamic state | use setState_phX function for input"
protected
Modelica.Media.Common.HelmholtzDerivs f "Helmholtz derivatives";
Modelica.Media.Common.HelmholtzDerivs f_ref
"Helmholtz derivatives for reference state";
SI.ThermalConductivity lambda_dg
"Dilute gas contribution to lambda";
R134aData.CoeffsThermalConductivity coeff
"Coefficients of thermal conductivity model";
SI.ThermalConductivity lambda_reduced "Reduced lambda";
SI.ThermalConductivity lambda_crit
"Enhancement of lambda in the critical region";
SI.ThermalConductivity chi_star "Correlation length";
SI.ThermalConductivity chi_star_ref "Correlation length";
SI.ThermalConductivity delta_chi "Chi_star - chi_star_ref";
Real rho_molar "Molar density [mol/l]";
Real dddp "Derivative of density w.r.t. pressure";
Real dddp_ref "Derivative of density w.r.t. pressure for reference state";
SI.Length xi "Correlation length";
SI.SpecificHeatCapacity cp
"Specific heat capacity at constant pressure";
SI.SpecificHeatCapacity cv
"Specific heat capacity at constant volume";
SI.DynamicViscosity eta "Dynamic viscosity";
SI.ThermalConductivity omega "Crossover function";
SI.ThermalConductivity omega_0 "Crossover function";
algorithm
f := f_R134a(state.d, state.T);
f_ref := f_R134a(state.d, coeff.T_ref);
// dilute gas contribution
lambda_dg := coeff.a_0 + coeff.a_1*state.T;
// reduced lambda
rho_molar := state.d/(R134aData.data.MM*1000);
// [mol/L]
lambda_reduced := 0;
for i in 1:4 loop
lambda_reduced := lambda_reduced + coeff.b[i]*(rho_molar/coeff.rho_crit)
^i;
end for;
lambda_reduced := lambda_reduced*coeff.lambda_reducing;
// critical lambda
dddp := 1/(f.R_s*f.T*f.delta*(2.0*f.fdelta + f.delta*f.fdeltadelta));
chi_star := state.d*coeff.p_crit*1e3/((coeff.rho_crit*R134aData.data.MM*
1000)^2)*dddp;
dddp_ref := 1/(f_ref.R_s*f_ref.T*f_ref.delta*(2.0*f_ref.fdelta + f_ref.delta
*f_ref.fdeltadelta));
chi_star_ref := state.d*coeff.p_crit*1e3/((coeff.rho_crit*R134aData.data.MM
*1000)^2)*dddp_ref;
delta_chi := max(1e-10, (chi_star - chi_star_ref));
xi := coeff.xi_0*(1/coeff.GAMMA*(delta_chi))^(coeff.nu/coeff.gamma);
cp := R134aData.data.R_s*(-f.tau*f.tau*f.ftautau + (f.delta*f.fdelta - f.delta
*f.tau*f.fdeltatau)^2/(2*f.delta*f.fdelta + f.delta*f.delta*f.fdeltadelta));
eta := dynamicViscosity(state=state);
cv := specificHeatCapacityCv(state=state);
omega := 2/Modelica.Constants.pi*(((cp - cv)/cp)*Modelica.Math.atan(coeff.q_d
*xi) + cv/cp*coeff.q_d*xi);
omega_0 := 2/Modelica.Constants.pi*(1 - Modelica.Math.exp(-1/((coeff.q_d*
xi)^(-1) + 1/3*(coeff.q_d*xi*coeff.rho_crit/(state.d/(R134aData.data.MM
*1000)))^2)));
lambda_crit := state.d*cp*(1.03*Modelica.Constants.k*state.T)/(6*Modelica.Constants.pi
*eta*xi)*(omega - omega_0);
// conclusion
lambda := max(lambda_dg + lambda_reduced + lambda_crit, 1e-8);
end thermalConductivity;
redeclare function extends surfaceTension
"Surface tension as a function of temperature (below critical point)"
protected
Real tau "Reduced temperature";
R134aData.CoeffsSurfaceTension coeff "Polynomial coefficients";
SI.Temperature Tc=374.21 "Critical temperature";
algorithm
if sat.Tsat > Tc then
tau := 0.0;
sigma := 0.0;
else
tau := 1.0 - sat.Tsat/Tc;
sigma := 0.0;
for i in 1:coeff.nterm loop
sigma := sigma + coeff.sigmak[i]*tau^coeff.sigexp[i];
end for;
end if;
end surfaceTension;
redeclare function extends velocityOfSound
"Velocity of sound w.r.t. thermodynamic state (only valid for one-phase)"
protected
Modelica.Media.Common.HelmholtzDerivs f "Helmholtz derivatives";
algorithm
if getPhase_ph(state.p, state.h) == 2 then
a := 0;
// assert(getPhase_ph(state.p, state.h)==1, "Function for velocity of sound is only valid for one-phase regime!");
else
f := f_R134a(state.d, state.T);
a := sqrt(abs(R134aData.data.R_s*state.T*(2*f.delta*f.fdelta + f.delta*f.delta
*f.fdeltadelta - ((f.delta*f.fdelta - f.delta*f.tau*f.fdeltatau)*(f.delta
*f.fdelta - f.delta*f.tau*f.fdeltatau))/(f.tau*f.tau*f.ftautau))));
end if;
end velocityOfSound;
redeclare function extends isothermalCompressibility
"Isothermal compressibility w.r.t. thermodynamic state (only valid for one-phase)"
protected
Modelica.Media.Common.HelmholtzDerivs f "Helmholtz derivatives";
algorithm
if getPhase_ph(state.p, state.h) == 2 then
kappa := 0;
// assert(getPhase_ph(state.p, state.h)==1, "Function for isothermal compressibility is only valid for one-phase regime!");
else
f := f_R134a(state.d, state.T);
kappa := 1/(state.d*R134aData.data.R_s*state.T*f.delta*(2.0*f.fdelta + f.delta
*f.fdeltadelta));
end if;
end isothermalCompressibility;
redeclare function extends isobaricExpansionCoefficient
"Isobaric expansion coefficient w.r.t. thermodynamic state (only valid for one-phase)"
protected
Modelica.Media.Common.HelmholtzDerivs f "Helmholtz derivatives";
algorithm
if getPhase_ph(state.p, state.h) == 2 then
beta := 0;
// assert(getPhase_ph(state.p, state.h)==1, "Function for isobaric expansion coefficient is only valid for one-phase regime!");
else
f := f_R134a(state.d, state.T);
beta := R134aData.data.R_s*state.d*f.delta*(f.fdelta - f.tau*f.fdeltatau)
*isothermalCompressibility(state);
end if;
end isobaricExpansionCoefficient;
redeclare function extends isentropicExponent
"Isentropic exponent gamma w.r.t. thermodynamic state | not defined in two-phase region | use setState_phX function for input"
algorithm
gamma := density(state)/(if pressure(state) > 1e-6 then pressure(state)
else 1e-6)*velocityOfSound(state)^2;
end isentropicExponent;
redeclare function extends specificGibbsEnergy
"Specific gibbs energy w.r.t. thermodynamic state"
algorithm
g := state.h - state.T*specificEntropy(state);
end specificGibbsEnergy;
redeclare function extends specificHelmholtzEnergy
"Helmholtz energy w.r.t. thermodynamic state"
algorithm
f := state.h - state.p/state.d - state.T*specificEntropy(state);
end specificHelmholtzEnergy;
redeclare function extends density_derh_p
"Density derivative by specific enthalpy | use setState_phX function for input"
protected
Common.InverseDerivatives_rhoT derivs
"Inverse derivatives for density and temperature";
algorithm
derivs := derivsOf_ph(
state.p,
state.h,
getPhase_ph(p=state.p, h=state.h));
ddhp := if getPhase_ph(p=state.p, h=state.h) == 2 then -state.d*state.d/(
derivs.dpT*state.T) else -state.d*state.d*derivs.pt/(state.d*state.d*
derivs.pd*derivs.cv + state.T*derivs.pt^2);
end density_derh_p;
redeclare function extends density_derp_h
"Density derivative by pressure | use setState_phX function for input"
protected
Common.InverseDerivatives_rhoT derivs
"Inverse derivatives for density and temperature";
algorithm
derivs := derivsOf_ph(
state.p,
state.h,
getPhase_ph(p=state.p, h=state.h));
ddph := if getPhase_ph(p=state.p, h=state.h) == 2 then state.d*(state.d*
derivs.cv/derivs.dpT + 1)/(derivs.dpT*state.T) else (state.d*(derivs.cv
*state.d + derivs.pt))/(state.d*state.d*derivs.pd*derivs.cv + state.T*
derivs.pt^2);
end density_derp_h;
redeclare function extends isentropicEnthalpy
"Isentropic enthalpy of downstream pressure and upstream thermodynamic state (specific entropy)"
algorithm
h_is := specificEnthalpy_psX(
p_downstream,
specificEntropy(refState),
reference_X);
eta_is = (h_is-h_upstream)/(h_downstream - h_upstream);
</pre></blockquote>
<h4>Restrictions</h4>
<p>
The isentropic efficiency function should not be applied in liquid region.
</p>
</html>"));
end isentropicEnthalpy;
function derivsOf_ph
"Derivatives required for inversion of temperature and density functions"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input Integer phase "Number of phases";
output Common.InverseDerivatives_rhoT derivs
"Inverse derivatives for density and temperature";
protected
Modelica.Media.Common.HelmholtzDerivs f "Helmholtz derivatives";
SaturationProperties sat "Saturation temperature and pressure";
Common.PhaseBoundaryProperties liq "Properties on liquid phase boundary";
Common.PhaseBoundaryProperties vap "Properties on vapor phase boundary";
Modelica.Media.Common.NewtonDerivatives_ph newder "Newton derivatives";
Real x "Vapor quality";
Real dxv "1/(v_vap - v_liq)";
algorithm
derivs.p := p;
derivs.h := h;
derivs.phase := getPhase_ph(p, h);
sat.psat := p;
sat.Tsat := saturationTemperature(p);
(derivs.rho,derivs.T) := dt_ph(p=p, h=h);
if derivs.phase == 2 then
liq := R134a_liqofdT(T=derivs.T);
vap := R134a_vapofdT(T=derivs.T);
x := if liq.h <> vap.h then (h - liq.h)/(vap.h - liq.h) else if h >=
vap.h then 1 else 0;
derivs.cv := Common.cv2Phase(
liq=liq,
vap=vap,
x=x,
p=p,
T=derivs.T);
dxv := if (liq.d <> vap.d) then liq.d*vap.d/(liq.d - vap.d) else 0.0;
derivs.dpT := (vap.s - liq.s)*dxv;
else
f := f_R134a(d=derivs.rho, T=derivs.T);
f.d := derivs.rho;
f.T := derivs.T;
f.R_s := R134aData.R_s;
newder := Modelica.Media.Common.Helmholtz_ph(f=f);
derivs.cv := -f.R_s*(f.tau*f.tau*f.ftautau);
derivs.pd := newder.pd;
derivs.pt := newder.pt;
//derivs.dpT := 0;
end if;
end derivsOf_ph;
function dt_ph
"Density and temperature w.r.t. pressure and specific enthalpy"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
output Density d "Density";
output Temperature T "Temperature";
protected
SaturationProperties sat(psat=p, Tsat=0)
"Saturation temperature and pressure";
SI.Pressure delp=1.0e-2 "Relative error in p in iteration";
SI.SpecificEnthalpy delh=1.0e-2
"Relative error in h in iteration";
SI.SpecificEnthalpy hvapor=dewEnthalpy(sat=sat)
"Vapor enthalpy";
SI.SpecificEnthalpy hliquid=bubbleEnthalpy(sat=sat)
"Liquid enthalpy";
Integer error "Iteration error";
Real x "Vapor quality";
Real vvap "Specific volume vapor";
Real vliq "Specific volume liquid";
algorithm
if ((h < hliquid) or (h > hvapor) or (p > R134aData.data.FPCRIT)) then
(d,T,error) := Modelica.Media.R134a.R134a_ph.dtofphOnePhase(
p,
h,
delp,
delh);
else
vvap := 1/dewDensity(sat=sat);
vliq := 1/bubbleDensity(sat=sat);
x := (h - hliquid)/(hvapor - hliquid);
error := 0;
T := saturationTemperature(p);
d := 1/(vliq + x*(vvap - vliq));
end if;
end dt_ph;
function dtofphOnePhase
"Density and temperature w.r.t. pressure and specific enthalpy in one-phase region"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Enthalpy";
input AbsolutePressure delp "Absolute error in p in iteration";
input SpecificEnthalpy delh "Absolute error in h in iteration";
output Density d "Density";
output Temperature T "Temperature";
output Integer error "1 if did not converged";
protected
constant Real p_breaks[:]=R134aData.pbreaks
"Grid points of reduced pressure";
constant Real hl_coef[:, 4]=R134aData.hlcoef
"Coefficients of cubic spline for h_liq(p)";
constant Real dl_coef[:, 4]=R134aData.dlcoef
"Coefficients of cubic spline for rho_liq(p)";
constant Real T_coef[:, 4]=R134aData.Tcoef
"Coefficients of cubic spline for Tsat(p)";
constant Real dv_coef[:, 4]=R134aData.dvcoef
"Coefficients of cubic spline for rho_vap(p)";
SI.SpecificEnthalpy hl "Liquid enthalpy";
Boolean liquid "Is liquid";
Boolean supercritical "Is supercritical";
Integer int "Interval number";
Real pred "Reduced pressure";
Real localx "Abscissa of local spline";
Integer i "Newton iteration number";
Real dh "Difference in h";
Real dp "Difference in p";
Real damping "Damping constant";
Real det "Determinant";
Real deld "Density change";
Real delt "Temperature change";
Modelica.Media.Common.HelmholtzDerivs f "Helmholtz derivatives";
Modelica.Media.Common.NewtonDerivatives_ph nDerivs "Newton derivatives";
Boolean found "Iteration converged";
algorithm
i := 0;
error := 0;
found := false;
damping := 1.0;
//by default no damping
pred := p/R134aData.data.FPCRIT;
(int,error) := Common.FindInterval(pred, p_breaks);
localx := pred - p_breaks[int];
// set decent initial guesses for d and T
supercritical := p > R134aData.data.FPCRIT;
if supercritical then
// iteration seems to work better if coming from high densities
d := R134aData.data.FDCRIT*3.0;
// dTR.T := data.TCRIT + 10.0;
// linear approximation that can be made generic
T := 270.0 + 120.0*(h/R134aData.data.HCRIT);
else
liquid := h < 1.01*R134aData.data.HCRIT*Common.CubicSplineEval(localx,
hl_coef[int, 1:4]);
if liquid then
damping := 0.3;
//damping on the liquid side
d := R134aData.data.FDCRIT*Common.CubicSplineEval(localx, dl_coef[int,1:4])*1.5;
T := Common.CubicSplineEval(localx, T_coef[int, 1:4]);
else
d := R134aData.data.FDCRIT*Common.CubicSplineEval(localx, dv_coef[int,1:4])*0.95;
T := Common.CubicSplineEval(localx, T_coef[int, 1:4]);
end if;
end if;
// the Newton iteration
while ((i < 50) and not found) loop
f := f_R134a(d, T);
// nDerivs are the symbolic derivatives needed in the iteration
// for given d and T
nDerivs := Modelica.Media.Common.Helmholtz_ph(f);
dh := nDerivs.h - h;
dp := nDerivs.p - p;
if ((abs(dh) <= delh) and (abs(dp) <= delp)) then
found := true;
error := if not found then 1 else 0;
end if;
det := nDerivs.ht*nDerivs.pd - nDerivs.pt*nDerivs.hd;
if abs(det) < 1e-10 then
det := sign(det)*1e-10;
end if;
delt := (nDerivs.pd*dh - nDerivs.hd*dp)/det;
deld := (nDerivs.ht*dp - nDerivs.pt*dh)/det;
T := T - damping*delt;
d := d - damping*deld;
// Check for limit of state variables
if T < R134aData.triple.TTRIPLE then
T := R134aData.triple.TTRIPLE + 0.1;
end if;
if d <= 0.0 then
d := R134aData.triple.DVTRIPLE;
elseif d > 1.5*R134aData.triple.DLTRIPLE then
d := R134aData.triple.DLTRIPLE;
end if;
i := i + 1;
end while;
end dtofphOnePhase;
function dtofpsOnePhase
"Inverse iteration in one phase region (d,T) = f(p,s)"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
input AbsolutePressure delp "Absolute iteration accuracy";
input SpecificEntropy dels "Absolute iteration accuracy";
output Density d "Density";
output Temperature T "Temperature";
output Integer error "Error flag: trouble if different from 0";
protected
constant Real p_breaks[:]=R134aData.pbreaks
"Grid points of reduced pressure";
constant Real dl_coef[:, 4]=R134aData.dlcoef
"Coefficients of cubic spline for rho_liq(p)";
constant Real dv_coef[:, 4]=R134aData.dvcoef
"Coefficients of cubic spline for rho_vap(p)";
constant Real sl_coef[:, 4]=R134aData.slcoef
"Coefficients of cubic spline for s_liq(p)";
constant Real sv_coef[:, 4]=R134aData.svcoef
"Coefficients of cubic spline for s_vap(p)";
constant Real T_coef[:, 4]=R134aData.Tcoef
"Coefficients of cubic spline for Tsat(p)";
Integer i "Newton iteration number";
Real ds "Difference in s";
Real dp "Difference in p";
Real det "Determinant";
Real deld "Density change";
Real delt "Temperature change";
Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. dimensionless d and T";
Modelica.Media.Common.NewtonDerivatives_ps nDerivs "Newton derivatives";
Boolean liquid "Is liquid";
Boolean supercritical "Is supercritical";
Boolean found "Iteration converged";
Integer int "Interval number";
Real pred "Reduced pressure";
Real localx "Abscissa of local spline";
Real sl "Liquid entropy";
Real sv "Vapor entropy";
algorithm
i := 0;
error := 0;
found := false;
pred := p/R134aData.data.FPCRIT;
(int,error) := Common.FindInterval(pred, p_breaks);
localx := pred - p_breaks[int];
// set decent initial guesses for d and T
supercritical := p > R134aData.data.FPCRIT;
if supercritical then
d := R134aData.data.FDCRIT + 500.0;
T := R134aData.data.FTCRIT + 10.0;
else
sl := R134aData.data.SCRIT*Common.CubicSplineEval(localx, sl_coef[int,
1:4]);
sv := R134aData.data.SCRIT*Common.CubicSplineEval(localx, sv_coef[int,
1:4]);
liquid := s < sl;
if liquid then
d := R134aData.data.FDCRIT*Common.CubicSplineEval(localx, dl_coef[int,
1:4])*1.1;
//1.05
T := Common.CubicSplineEval(localx, T_coef[int, 1:4])*0.9;
//0.95
else
d := R134aData.data.FDCRIT*Common.CubicSplineEval(localx, dv_coef[int,
1:4])*0.8;
//0.9
T := Common.CubicSplineEval(localx, T_coef[int, 1:4])*1.1 + 0.5*(s -
sv);
end if;
end if;
while ((i < 100) and not found) loop
f := f_R134a(d=d, T=T);
nDerivs := Modelica.Media.Common.Helmholtz_ps(f);
ds := nDerivs.s - s;
dp := nDerivs.p - p;
if ((abs(ds/s) <= dels) and (abs(dp/p) <= delp)) then
found := true;
end if;
det := nDerivs.st*nDerivs.pd - nDerivs.pt*nDerivs.sd;
delt := (nDerivs.pd*ds - nDerivs.sd*dp)/det;
deld := (nDerivs.st*dp - nDerivs.pt*ds)/det;
T := T - delt;
d := d - deld;
i := i + 1;
end while;
if not found then
error := 1;
end if;
end dtofpsOnePhase;
function f_R134a
"Calculation of helmholtz derivatives by density and temperature"
extends Modelica.Icons.Function;
input Density d "Density";
input Temperature T "Temperature";
output Modelica.Media.Common.HelmholtzDerivs f "Helmholtz derivatives";
protected
Real delta "Reduced density";
Real tau "Reduced temperature";
Modelica.Media.Common.HelmholtzDerivs fid "Helmholtz derivstives";
algorithm
delta := d/R134aData.data.DCRIT;
tau := R134aData.data.TCRIT/T;
fid := fid_R134a(delta=delta, tau=tau);
f := fres_R134a(delta=delta, tau=tau);
f.f := f.f + fid.f;
f.fdelta := f.fdelta + fid.fdelta;
f.fdeltadelta := f.fdeltadelta + fid.fdeltadelta;
f.ftau := f.ftau + fid.ftau;
f.ftautau := f.ftautau + fid.ftautau;
f.d := d;
f.T := T;
f.R_s := R134aData.R_s;
end f_R134a;
function fid_R134a "Helmholtz coefficients of ideal part"
extends Modelica.Icons.Function;
input Real delta "Reduced density (delta=d/dcrit)";
input Real tau "Reduced temperature (tau=Tcrit/T)";
output Modelica.Media.Common.HelmholtzDerivs fid
"Helmholtz derivatives of ideal part";
protected
Modelica.Media.R134a.R134aData.Ideal id "Ideal coefficients";
Real atau=abs(tau) "|tau|";
Real adelta=abs(delta) "|delta|";
algorithm
fid.delta := delta;
fid.tau := tau;
fid.f := Modelica.Math.log(adelta) + id.a[1] + id.a[2]*atau + id.a[3]*
Modelica.Math.log(atau) + id.a[4]*atau^(-0.5) + id.a[5]*atau^(-0.75);
fid.fdelta := 1.0/adelta;
fid.fdeltadelta := -1.0/(adelta*adelta);
fid.ftau := id.a[2] + id.a[3]/atau - 0.5*id.a[4]*atau^(-1.5) - 0.75*id.a[
5]*atau^(-1.75);
fid.ftautau := -id.a[3]/(atau*atau) + 0.75*id.a[4]*atau^(-2.5) + 1.3125*
id.a[5]*atau^(-2.75);
fid.fdeltatau := 0.0;
fid.d := fid.delta*R134aData.data.DCRIT;
fid.T := R134aData.data.TCRIT/fid.tau;
fid.R_s := R134aData.R_s;
end fid_R134a;
function fres_R134a "Calculation of helmholtz derivatives"
extends Modelica.Icons.Function;
input Real delta "Reduced density (delta=d/dcrit)";
input Real tau "Reduced temperature (tau=Tcrit/T)";
output Modelica.Media.Common.HelmholtzDerivs f "Helmholtz derivatives";
protected
Modelica.Media.R134a.R134aData.Residual res "Residual coefficient";
Real k "Helping var";
Real dc "Helping var";
Real cdc "Helping var";
algorithm
f.tau := abs(tau);
f.delta := abs(delta);
f.f := 0.0;
f.ftau := 0.0;
f.fdelta := 0.0;
f.ftautau := 0.0;
f.fdeltadelta := 0.0;
f.fdeltatau := 0.0;
for i in 1:res.ns1 loop
k := res.n[i]*f.delta^res.d[i]*f.tau^res.t[i];
f.f := f.f + k;
f.fdelta := f.fdelta + k*res.d[i];
f.fdeltadelta := f.fdeltadelta + k*res.d[i]*(res.d[i] - 1.0);
f.ftau := f.ftau + k*res.t[i];
f.ftautau := f.ftautau + k*res.t[i]*(res.t[i] - 1.0);
f.fdeltatau := f.fdeltatau + k*res.t[i]*res.d[i];
end for;
for i in res.ns1 + 1:21 loop
dc := f.delta^res.c[i];
cdc := res.c[i]*dc;
k := Modelica.Math.exp(-dc)*res.n[i]*delta^res.d[i]*f.tau^res.t[i];
f.f := f.f + k;
f.fdelta := f.fdelta + k*(res.d[i] - cdc);
f.fdeltadelta := f.fdeltadelta + k*((res.d[i] - cdc)*(res.d[i] - 1.0 -
cdc) - res.c[i]*cdc);
f.ftau := f.ftau + k*res.t[i];
f.ftautau := f.ftautau + k*res.t[i]*(res.t[i] - 1.0);
f.fdeltatau := f.fdeltatau + k*res.t[i]*(res.d[i] - cdc);
end for;
f.fdelta := f.fdelta/delta;
f.fdeltadelta := f.fdeltadelta/(delta*delta);
f.ftau := f.ftau/tau;
f.ftautau := f.ftautau/(tau*tau);
f.fdeltatau := f.fdeltatau/(delta*tau);
f.d := f.delta*R134aData.data.DCRIT;
f.T := R134aData.data.TCRIT/f.tau;
f.R_s := R134aData.R_s;
end fres_R134a;
function getPhase_ph "Number of phases by pressure and specific enthalpy"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
output Integer phase "Number of phases";
protected
SaturationProperties sat(psat=p, Tsat=0)
"Saturation temperature and pressure";
SI.SpecificEnthalpy hl=bubbleEnthalpy(sat)
"Liquid enthalpy";
SI.SpecificEnthalpy hv=dewEnthalpy(sat) "Vapor enthalpy";
algorithm
phase := if ((h < hl) or (h > hv) or (p > R134aData.data.FPCRIT)) then 1
else 2;
end getPhase_ph;
function getPhase_ps "Number of phases by pressure and entropy"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
output Integer phase "Number of phases";
protected
SaturationProperties sat(psat=p, Tsat=0)
"Saturation temperature and pressure";
SI.SpecificEntropy sl=bubbleEntropy(sat) "Liquid entropy";
SI.SpecificEntropy sv=dewEntropy(sat) "Vapor entropy";
algorithm
phase := if ((s < sl) or (s > sv) or (p > R134aData.data.FPCRIT)) then 1
else 2;
end getPhase_ps;
function hofpsTwoPhase
"Isentropic specific enthalpy in two phase region h(p,s)"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
output SpecificEnthalpy h "Specific enthalpy";
protected
SaturationProperties sat "Saturation temperature and pressure";
SI.MassFraction x "Vapor quality";
SI.SpecificEntropy sl "Liquid entropy";
SI.SpecificEntropy sv "Vapor entropy";
SI.SpecificEnthalpy hl "Liquid enthalpy";
SI.SpecificEnthalpy hv "Vapor enthalpy";
algorithm
sat.psat := p;
// dummy
sat.Tsat := 0;
hl := bubbleEnthalpy(sat=sat);
hv := dewEnthalpy(sat=sat);
sl := bubbleEntropy(sat=sat);
sv := dewEntropy(sat=sat);
x := (s - sl)/(sv - sl);
h := hl + x*(hv - hl);
end hofpsTwoPhase;
function R134a_liqofdT "Properties on liquid boundary phase"
extends Modelica.Icons.Function;
input Temperature T "Temperature";
output Common.PhaseBoundaryProperties liq
"Properties on liquid boundary phase";
protected
SI.Temperature T_liq "Liquid temperature";
SI.Density d_liq "Liquid density";
Modelica.Media.Common.HelmholtzDerivs f "Helmholtz derivatives";
algorithm
if T < R134aData.data.TCRIT then
d_liq := bubbleDensity(setSat_T(T));
T_liq := T;
else
d_liq := R134aData.data.DCRIT;
T_liq := R134aData.data.TCRIT;
end if;
f := f_R134a(d_liq, T_liq);
liq := Common.helmholtzToBoundaryProps(f);
end R134a_liqofdT;
function R134a_vapofdT "Properties on vapor boundary phase"
extends Modelica.Icons.Function;
input Temperature T "Temperature";
output Common.PhaseBoundaryProperties vap
"Properties on vapor boundary phase";
protected
SI.Temperature T_vap "Vapor temperature";
SI.Density d_vap "Vapor density";
Modelica.Media.Common.HelmholtzDerivs f "Helmholtz derivatives";
algorithm
if T < R134aData.data.TCRIT then
d_vap := dewDensity(setSat_T(T));
T_vap := T;
else
d_vap := R134aData.data.DCRIT;
T_vap := R134aData.data.TCRIT;
end if;
f := f_R134a(d_vap, T_vap);
vap := Common.helmholtzToBoundaryProps(f);
end R134a_vapofdT;
function rho_ph_der "Time derivative function of density_ph"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input Common.InverseDerivatives_rhoT derivs "Record for derivatives";
input Real p_der "Derivative of pressure";
input Real h_der "Derivative of specific enthalpy";
output Real d_der "Derivative of density";
algorithm
if (derivs.phase == 2) then
d_der := (derivs.rho*(derivs.rho*derivs.cv/derivs.dpT + 1.0)/(derivs.dpT
*derivs.T))*p_der + (-derivs.rho*derivs.rho/(derivs.dpT*derivs.T))*
h_der;
else
d_der := ((derivs.rho*(derivs.cv*derivs.rho + derivs.pt))/(derivs.rho*
derivs.rho*derivs.pd*derivs.cv + derivs.T*derivs.pt*derivs.pt))*p_der
+ (-derivs.rho*derivs.rho*derivs.pt/(derivs.rho*derivs.rho*derivs.pd
*derivs.cv + derivs.T*derivs.pt*derivs.pt))*h_der;
end if;
end rho_ph_der;
function rho_props_ph
"Density as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.InverseDerivatives_rhoT derivs
"Record for the calculation of rho_ph_der";
output SI.Density d "Density";
algorithm
d := derivs.rho;
end rho_props_ph;
function T_ph_der "Time derivative function of T_ph"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input Common.InverseDerivatives_rhoT derivs "Auxiliary record";
input Real p_der "Derivative of pressure";
input Real h_der "Derivative of specific enthalpy";
output Real T_der "Derivative of temperature";
algorithm
if (derivs.phase == 2) then
T_der := 1/derivs.dpT*p_der;
else
T_der := ((-derivs.rho*derivs.pd + derivs.T*derivs.pt)/(derivs.rho*
derivs.rho*derivs.pd*derivs.cv + derivs.T*derivs.pt*derivs.pt))*p_der
+ ((derivs.rho*derivs.rho*derivs.pd)/(derivs.rho*derivs.rho*derivs.pd
*derivs.cv + derivs.T*derivs.pt*derivs.pt))*h_der;
end if;
end T_ph_der;
function T_props_ph
"Temperature as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input Common.InverseDerivatives_rhoT derivs
"Record for the calculation of T_ph_der";
output Temperature T "Temperature";
algorithm
T := derivs.T;
end T_props_ph;
redeclare function extends setSmoothState
"Smooth transition function between state_a and state_b"
import Modelica.Media.Common.smoothStep;
algorithm
state := ThermodynamicState(
p=smoothStep(
x,
state_a.p,
state_b.p,
x_small),
h=smoothStep(
x,
state_a.h,
state_b.h,
x_small),
T=temperature_ph(smoothStep(
x,
state_a.p,
state_b.p,
x_small), smoothStep(
x,
state_a.h,
state_b.h,
x_small)),
d=density_ph(smoothStep(
x,
state_a.p,
state_b.p,
x_small), smoothStep(
x,
state_a.h,
state_b.h,
x_small)),
phase=0);
end setSmoothState;
function dofpT "Compute d for given p and T"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.Pressure delp "Iteration converged if (p-pre(p) < delp)";
output SI.Density d "Density";
protected
constant Real T_breaks[:]=R134aData.Tbreaks
"Grid points of reduced temperature";
constant Real dlt_coef[:, 4]=R134aData.dltcoef
"Coefficients of cubic spline for rho_liq(T)";
constant Real dvt_coef[:, 4]=R134aData.dvtcoef
"Coefficients of cubic spline for rho_vap(T)";
Boolean liquid "Is liquid";
Boolean supercritical "Is supercritcal";
Integer int "Interval number";
Real Tred "Reduced temperature";
Real localx "Abscissa of local spline";
Integer i "Newton iteration number";
Real dp "Pressure difference";
SI.Density deld "Density step";
Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Modelica.Media.Common.NewtonDerivatives_pT nDerivs
"Derivatives needed in Newton iteration";
Boolean found "Flag for iteration success";
Integer error "1 if did not converged";
algorithm
Modelica.Media.R134a.R134a_ph.phaseBoundaryAssert(p, T);
i := 0;
error := 0;
found := false;
Tred := T/R134aData.data.FTCRIT;
(int,error) := Common.FindInterval(Tred, T_breaks);
localx := Tred - T_breaks[int];
// set decent initial guesses for d and T
supercritical := p > R134aData.data.FPCRIT;
if supercritical then
// iteration seems to work better if coming from high densities
d := R134aData.data.FDCRIT*3.0;
else
liquid := T <= Modelica.Media.R134a.R134a_ph.saturationTemperature(p);
if liquid then
d := R134aData.data.FDCRIT*Common.CubicSplineEval(localx, dlt_coef[int,
1:4])*1.02;
else
d := R134aData.data.FDCRIT*Common.CubicSplineEval(localx, dvt_coef[int,
1:4])*0.95;
end if;
end if;
while ((i < 100) and not found) loop
f := Modelica.Media.R134a.R134a_ph.f_R134a(d, T);
nDerivs := Modelica.Media.Common.Helmholtz_pT(f);
dp := nDerivs.p - p;
if (abs(dp) <= delp) then
found := true;
end if;
deld := dp/nDerivs.pd;
d := d - deld;
i := i + 1;
end while;
end dofpT;
function hofpT "Compute h for given p and T"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.Pressure delp
"Iteration converged if (p-pre(p) < delp)";
output SI.SpecificEnthalpy h "Specific Enthalpy";
protected
SI.Density d "Density";
Modelica.Media.Common.HelmholtzDerivs f "Helmholtz derivatives";
algorithm
Modelica.Media.R134a.R134a_ph.phaseBoundaryAssert(p, T);
d := dofpT(p, T, delp);
f := f_R134a(d, T);
h := R134aData.data.R_s*T*(f.tau*f.ftau + f.delta*f.fdelta);
end hofpT;
function phaseBoundaryAssert
"Assert function for checking threshold to phase boundary"
extends Modelica.Icons.Function;
input SI.Pressure p "Refrigerant pressure";
input SI.Temperature T "Refrigerant temperature";
protected
SI.Temperature T_lim_gas "Upper temperature limit";
SI.Temperature T_lim_liq "Lower temperature limit";
SI.Temperature T_sat "Saturation temperature";
algorithm
T_sat := Modelica.Media.R134a.R134a_ph.saturationTemperature(p);
T_lim_gas := T_sat + 1;
T_lim_liq := T_sat - 1;
assert(p>R134aData.data.PCRIT+1000 or not
(T<T_lim_gas and T>T_lim_liq), "Fluid state is too close to the two-phase region (p="+String(p)+"[Pa], T="+String(T)+"[K]. Pressure and temperature can not be used to determine properties in two-phase region.");
end phaseBoundaryAssert;
end R134a_ph;
package R134aData "R134a data required by package R134a_ph"
extends Modelica.Icons.Package;
constant SI.SpecificHeatCapacity R_s=data.R_s;
constant Integer Npoints=478;
constant Integer Ninterval=Npoints - 1;
constant Real[Npoints] pbreaks={9.597762848258994e-005,
9.869357747732370e-005,1.010264375639950e-004,1.065169584583328e-004,
1.123059413359126e-004,1.184094248412308e-004,1.248446933924201e-004,
1.316297064467259e-004,1.387835295300911e-004,1.463261079761978e-004,
1.542786111807819e-004,1.626631846135783e-004,1.715035062398977e-004,
1.808243694992149e-004,1.906517107583061e-004,2.010132485287069e-004,
2.119377912202213e-004,2.234561174702443e-004,2.356004528862385e-004,
2.484047512716141e-004,2.616284653191377e-004,2.747881183685521e-004,
2.885158790807569e-004,3.028318826616158e-004,3.177568016040576e-004,
3.333118542894548e-004,3.495188133266056e-004,3.664000141427236e-004,
3.839783631625294e-004,4.022773464529003e-004,4.213210377579724e-004,
4.411341070924892e-004,4.617418287585031e-004,4.831700895846934e-004,
5.054453973240350e-004,5.285948883287491e-004,5.526463359992557e-004,
5.776281585116855e-004,6.035694268866237e-004,6.304998727332601e-004,
6.584498962084673e-004,6.874505733153568e-004,7.175336642444060e-004,
7.487316202293097e-004,7.810775914127821e-004,8.146054342502127e-004,
8.493497185583605e-004,8.853457349505343e-004,9.226295020377572e-004,
9.612377731634476e-004,1.001208043569667e-003,1.042578557225471e-003,
1.085388313487843e-003,1.129677073668393e-003,1.175485367705820e-003,
1.222854500460934e-003,1.271826558129384e-003,1.322444414376414e-003,
1.374751736326610e-003,1.428792990668195e-003,1.484613449495073e-003,
1.542259195759381e-003,1.601777129328165e-003,1.663214972080042e-003,
1.726621273310258e-003,1.792045415319891e-003,1.859537618008464e-003,
1.929148944128722e-003,2.000931304128618e-003,2.074937460870742e-003,
2.151221034049469e-003,2.229836504887513e-003,2.310839220352569e-003,
2.394285397224690e-003,2.480232126358037e-003,2.568737376543922e-003,
2.659859998183566e-003,2.753659727089886e-003,2.850197187960054e-003,
2.949533897578886e-003,3.051732268501956e-003,3.156855611648015e-003,
3.264968139624009e-003,3.376134969543659e-003,3.490422125512034e-003,
3.607896541474759e-003,3.728626063414313e-003,3.852679451797347e-003,
3.980126383732962e-003,4.111037454976533e-003,4.245484181734639e-003,
4.383539002791262e-003,4.525275280559336e-003,4.670767303162268e-003,
4.820090285488170e-003,4.973320370546478e-003,5.130534630480654e-003,
5.291811067763014e-003,5.457228615833621e-003,5.626867140010384e-003,
5.800807438004561e-003,5.979131240454509e-003,6.161921211248477e-003,
6.349260947941199e-003,6.541234981608406e-003,6.737928777105548e-003,
6.939428732811780e-003,7.145822180530093e-003,7.357197385013741e-003,
7.573643543593235e-003,7.795250785685322e-003,8.022110172037484e-003,
8.254313693933356e-003,8.491954272338212e-003,8.735125756982369e-003,
8.983922925176295e-003,9.238441480673905e-003,9.498778052406051e-003,
9.765030192907764e-003,1.003729637709093e-002,1.031567600057533e-002,
1.060026937790312e-002,1.089117774088576e-002,1.118850323681089e-002,
1.149234892629966e-002,1.180281878149178e-002,1.212001768378737e-002,
1.244405142182634e-002,1.277502668901607e-002,1.311305108132637e-002,
1.345823309485172e-002,1.381068212326552e-002,1.417050845529529e-002,
1.453782327208102e-002,1.491273864445383e-002,1.529536753016332e-002,
1.568582377114743e-002,1.608422209040166e-002,1.649067808931178e-002,
1.690530824446280e-002,1.732822990453687e-002,1.775956128744187e-002,
1.819942147677864e-002,1.864793041887473e-002,1.910520891956503e-002,
1.957137864057372e-002,2.004656209644468e-002,2.053088265103482e-002,
2.102446451411387e-002,2.152743273774831e-002,2.203991321298626e-002,
2.256203266622321e-002,2.309391865555178e-002,2.363569956736602e-002,
2.418750461246241e-002,2.474946382258750e-002,2.532170804665175e-002,
2.590436894709933e-002,2.649757899613318e-002,2.710147147198215e-002,
2.771618045516845e-002,2.834184082475825e-002,2.897858825451354e-002,
2.962655920917527e-002,3.028589094062469e-002,3.095672148415131e-002,
3.163918965453092e-002,3.233343504239619e-002,3.303959801019879e-002,
3.375781968861326e-002,3.448824197265431e-002,3.523100751788461e-002,
3.598625973665024e-002,3.675414279428406e-002,3.753480160540696e-002,
3.832838183003045e-002,3.913502986997648e-002,3.995489286516166e-002,
4.078811868980567e-002,4.163485594877166e-002,4.249525397402870e-002,
4.336946282080187e-002,4.425763326428060e-002,4.515991679581355e-002,
4.607646561937220e-002,4.700743264819789e-002,4.795297150115203e-002,
4.891323649938621e-002,4.988838266300229e-002,5.087856570747507e-002,
5.188394204050219e-002,5.290466875872184e-002,5.394090364435762e-002,
5.499280516221097e-002,5.606053245635714e-002,5.714424534717350e-002,
5.824410432822266e-002,5.936027056331945e-002,6.049290588356860e-002,
6.164217278454836e-002,6.280823442343543e-002,6.399125461636106e-002,
6.519139783552948e-002,6.640882920680599e-002,6.764371450704471e-002,
6.889622016163087e-002,7.016651324207315e-002,7.145476146359577e-002,
7.276113318295722e-002,7.408579739616779e-002,7.542892373645665e-002,
7.679068247215846e-002,7.817124450477091e-002,7.957078136711258e-002,
8.098946522143942e-002,8.242746885787376e-002,8.388496569268521e-002,
8.536212976679605e-002,8.685913574431177e-002,8.837615891128831e-002,
8.991337517436447e-002,9.147096105967481e-002,9.304909371182504e-002,
9.464795089290083e-002,9.626771098168203e-002,9.790855297290042e-002,
9.957065647660095e-002,1.012542017176483e-001,1.029593695353304e-001,
1.046863413830815e-001,1.064352993283296e-001,1.082064260525101e-001,
1.099999048510082e-001,1.118159196335355e-001,1.136546549243387e-001,
1.155162958627491e-001,1.174010282037917e-001,1.193090383188843e-001,
1.212405131966888e-001,1.231956404442420e-001,1.251746082880320e-001,
1.271776055753336e-001,1.292048217756560e-001,1.312564469824424e-001,
1.333326719147161e-001,1.354336879191573e-001,1.375596869720684e-001,
1.397108616817379e-001,1.418874052908662e-001,1.440895116791160e-001,
1.463173753659727e-001,1.485711915136508e-001,1.508511559303043e-001,
1.531574650734013e-001,1.554903160532023e-001,1.578499066364259e-001,
1.602364352504390e-001,1.626501009871427e-001,1.650911036075191e-001,
1.675596435460891e-001,1.700559219157807e-001,1.725801405130011e-001,
1.751325018227866e-001,1.777132090243812e-001,1.803224659969848e-001,
1.829604773257499e-001,1.856274483079854e-001,1.883235849597385e-001,
1.910490940225762e-001,1.938041829705809e-001,1.965890600178195e-001,
1.994039341258457e-001,2.022490150118090e-001,2.051245131564867e-001,
2.080306398131010e-001,2.109676070159534e-001,2.139356275898521e-001,
2.169349151595292e-001,2.199656841596673e-001,2.230281498451127e-001,
2.261225283015071e-001,2.292490364564299e-001,2.324078920906696e-001,
2.355993138502352e-001,2.388235212584440e-001,2.420807347286962e-001,
2.453711755776573e-001,2.486950660387031e-001,2.520526292761376e-001,
2.554440893996220e-001,2.588696714792741e-001,2.623296015612792e-001,
2.658241066839430e-001,2.693534148944132e-001,2.729177552658184e-001,
2.765173579152221e-001,2.801524540219758e-001,2.838232758468616e-001,
2.875300567517182e-001,2.912730312199488e-001,2.950524348775986e-001,
2.988685045151655e-001,3.027214781102109e-001,3.066115948507304e-001,
3.105390951593055e-001,3.145042207181398e-001,3.185072144949388e-001,
3.225483207696795e-001,3.266277851623652e-001,3.307458546616600e-001,
3.349027776546629e-001,3.390988039576249e-001,3.433341848477569e-001,
3.476091730962973e-001,3.519240230025824e-001,3.562789904294610e-001,
3.606743328399952e-001,3.651103093353738e-001,3.695871806943437e-001,
3.741052094140343e-001,3.786646597522729e-001,3.832657977714583e-001,
3.879088913841363e-001,3.925942104002511e-001,3.973220265761317e-001,
4.020926136654290e-001,4.069062474719831e-001,4.117632059046955e-001,
4.166637690345744e-001,4.216082191539507e-001,4.265968408381747e-001,
4.316299210096456e-001,4.367077490044181e-001,4.418306166415828e-001,
4.469988182954611e-001,4.522126509707460e-001,4.574724143807979e-001,
4.627784110292650e-001,4.681309462951913e-001,4.735303285216456e-001,
4.789768691084685e-001,4.844708826088187e-001,4.900126868302581e-001,
4.956026029402373e-001,5.012409555764841e-001,5.069280729624649e-001,
5.126642870282773e-001,5.184499335373062e-001,5.242853522190180e-001,
5.302680522792256e-001,5.362148870570488e-001,5.421125034763555e-001,
5.479604123151721e-001,5.537581634208009e-001,5.595053445140967e-001,
5.652015800117042e-001,5.708465298673534e-001,5.764398884324107e-001,
5.819813833363990e-001,5.874707743877503e-001,5.929078524952066e-001,
5.982924386100538e-001,6.036243826896056e-001,6.089035626818212e-001,
6.141298835313674e-001,6.193032762071714e-001,6.244236967514051e-001,
6.294911253499476e-001,6.345055654242815e-001,6.394670427446655e-001,
6.443756045645810e-001,6.492313187762216e-001,6.540342730869820e-001,
6.587845742164332e-001,6.634823471141452e-001,6.681277341974906e-001,
6.727208946097391e-001,6.772620034977512e-001,6.817512513092869e-001,
6.861888431095735e-001,6.905749979167365e-001,6.949099480559251e-001,
6.991939385318118e-001,7.034272264190118e-001,7.076100802703395e-001,
7.117427795423493e-001,7.158256140379710e-001,7.198588833658458e-001,
7.238428964161435e-001,7.277779708523336e-001,7.316644326187892e-001,
7.355026154637049e-001,7.392928604808265e-001,7.430355156427725e-001,
7.467309354101930e-001,7.503794802847638e-001,7.539815165033564e-001,
7.575374158563575e-001,7.610475525042479e-001,7.645123095847116e-001,
7.679320711405823e-001,7.713072258757592e-001,7.746381659738916e-001,
7.779252867810481e-001,7.811689864996086e-001,7.843696658934009e-001,
7.875277280034720e-001,7.906435778747776e-001,7.937176222932615e-001,
7.967502695335140e-001,8.000199630662463e-001,8.033009258512434e-001,
8.065932139849678e-001,8.098968847000179e-001,8.132119945147386e-001,
8.165386053633329e-001,8.198767769333629e-001,8.232265712101035e-001,
8.265880515436206e-001,8.299612827168834e-001,8.333463310190913e-001,
8.367432643245871e-001,8.401521521779828e-001,8.435730658861569e-001,
8.470060786178580e-001,8.504512655117438e-001,8.539087037939039e-001,
8.573784729060409e-001,8.608606546457506e-001,8.643553333207711e-001,
8.678625959196853e-001,8.713825323024099e-001,8.749152354154032e-001,
8.784608015388341e-001,8.820193305769569e-001,8.855909230615221e-001,
8.891756908959754e-001,8.927737444522241e-001,8.963852006600686e-001,
9.000101817311734e-001,9.036488156539342e-001,9.073012367571003e-001,
9.109675863549037e-001,9.146480134897557e-001,9.183426757925104e-001,
9.220517404865118e-001,9.257753855697142e-001,9.295138012239329e-001,
9.332671915249889e-001,9.370357765779688e-001,9.408197916132383e-001,
9.446194993887446e-001,9.484351827283455e-001,9.522671554710838e-001,
9.561157672135285e-001,9.599814113076552e-001,9.638645356406839e-001,
9.677656576771091e-001,9.716853843570205e-001,9.756244470156604e-001,
9.795837477900006e-001,9.825671883209557e-001,9.855632858038894e-001,
9.886965153922347e-001,9.917147058660856e-001,9.939889544462242e-001,
9.955107773467575e-001,9.966554757188424e-001,9.976501440012482e-001,
9.985707411825207e-001,9.989551169812724e-001,9.991090113187927e-001,
9.993400213037331e-001,9.995459937617709e-001,9.997521475624808e-001,
9.998552980391523e-001,9.999068928446231e-001,1.0};
constant Real[Npoints] Tbreaks={0.453892958213191,0.454558816062682,
0.455118075727735,0.456391027473952,0.457672503868159,0.458962558356426,
0.460261324553926,0.461568882629760,0.462885339476068,0.464210775261953,
0.465545296879551,0.466888984497968,0.468241971732374,0.469604365474908,
0.470976245894674,0.472357746606843,0.473748947780518,0.475149983030873,
0.476560959250045,0.477981983330171,0.479384515070455,0.480720666793156,
0.482056818515856,0.483392970238556,0.484729121961257,0.486065273683957,
0.487401425406658,0.488737577129358,0.490073728852059,0.491409880574759,
0.492746032297459,0.494082184020160,0.495418335742860,0.496754487465561,
0.498090639188261,0.499426790910961,0.500762942633662,0.502099094356362,
0.503435246079063,0.504771397801763,0.506107549524464,0.507443701247164,
0.508779852969864,0.510116004692565,0.511452156415265,0.512788308137966,
0.514124459860666,0.515460611583366,0.516796763306067,0.518132915028767,
0.519469066751468,0.520805218474168,0.522141370196869,0.523477521919569,
0.524813673642269,0.526149825364970,0.527485977087670,0.528822128810371,
0.530158280533071,0.531494432255771,0.532830583978472,0.534166735701172,
0.535502887423873,0.536839039146573,0.538175190869274,0.539511342591974,
0.540847494314674,0.542183646037375,0.543519797760075,0.544855949482776,
0.546192101205476,0.547528252928176,0.548864404650877,0.550200556373577,
0.551536708096278,0.552872859818978,0.554209011541679,0.555545163264379,
0.556881314987079,0.558217466709780,0.559553618432480,0.560889770155181,
0.562225921877881,0.563562073600581,0.564898225323282,0.566234377045982,
0.567570528768683,0.568906680491383,0.570242832214084,0.571578983936784,
0.572915135659484,0.574251287382185,0.575587439104885,0.576923590827586,
0.578259742550286,0.579595894272986,0.580932045995687,0.582268197718387,
0.583604349441088,0.584940501163788,0.586276652886489,0.587612804609189,
0.588948956331889,0.590285108054590,0.591621259777290,0.592957411499991,
0.594293563222691,0.595629714945391,0.596965866668092,0.598302018390792,
0.599638170113493,0.600974321836193,0.602310473558894,0.603646625281594,
0.604982777004294,0.606318928726995,0.607655080449695,0.608991232172396,
0.610327383895096,0.611663535617796,0.612999687340497,0.614335839063197,
0.615671990785898,0.617008142508598,0.618344294231299,0.619680445953999,
0.621016597676699,0.622352749399400,0.623688901122100,0.625025052844801,
0.626361204567501,0.627697356290201,0.629033508012902,0.630369659735602,
0.631705811458303,0.633041963181003,0.634378114903704,0.635714266626404,
0.637050418349104,0.638386570071805,0.639722721794505,0.641058873517206,
0.642395025239906,0.643731176962606,0.645067328685307,0.646403480408007,
0.647739632130708,0.649075783853408,0.650411935576109,0.651748087298809,
0.653084239021509,0.654420390744210,0.655756542466910,0.657092694189611,
0.658428845912311,0.659764997635011,0.661101149357712,0.662437301080412,
0.663773452803113,0.665109604525813,0.666445756248514,0.667781907971214,
0.669118059693914,0.670454211416615,0.671790363139315,0.673126514862016,
0.674462666584716,0.675798818307416,0.677134970030117,0.678471121752817,
0.679807273475518,0.681143425198218,0.682479576920918,0.683815728643619,
0.685151880366319,0.686488032089020,0.687824183811720,0.689160335534421,
0.690496487257121,0.691832638979821,0.693168790702522,0.694504942425222,
0.695841094147923,0.697177245870623,0.698513397593323,0.699849549316024,
0.701185701038724,0.702521852761425,0.703858004484125,0.705194156206826,
0.706530307929526,0.707866459652226,0.709202611374927,0.710538763097627,
0.711874914820328,0.713211066543028,0.714547218265728,0.715883369988429,
0.717219521711129,0.718555673433830,0.719891825156530,0.721227976879231,
0.722564128601931,0.723900280324631,0.725236432047332,0.726572583770032,
0.727908735492733,0.729244887215433,0.730581038938133,0.731917190660834,
0.733253342383534,0.734589494106235,0.735925645828935,0.737261797551636,
0.738597949274336,0.739934100997036,0.741270252719737,0.742606404442437,
0.743942556165138,0.745278707887838,0.746614859610538,0.747951011333239,
0.749287163055939,0.750623314778640,0.751959466501340,0.753295618224041,
0.754631769946741,0.755967921669441,0.757304073392142,0.758640225114842,
0.759976376837543,0.761312528560243,0.762648680282943,0.763984832005644,
0.765320983728344,0.766657135451045,0.767993287173745,0.769329438896446,
0.770665590619146,0.772001742341846,0.773337894064547,0.774674045787247,
0.776010197509948,0.777346349232648,0.778682500955348,0.780018652678049,
0.781354804400749,0.782690956123450,0.784027107846150,0.785363259568851,
0.786699411291551,0.788035563014251,0.789371714736952,0.790707866459652,
0.792044018182353,0.793380169905053,0.794716321627753,0.796052473350454,
0.797388625073154,0.798724776795855,0.800060928518555,0.801397080241256,
0.802733231963956,0.804069383686656,0.805405535409357,0.806741687132057,
0.808077838854758,0.809413990577458,0.810750142300158,0.812086294022859,
0.813422445745559,0.814758597468260,0.816094749190960,0.817430900913661,
0.818767052636361,0.820103204359061,0.821439356081762,0.822775507804462,
0.824111659527163,0.825447811249863,0.826783962972563,0.828120114695264,
0.829456266417964,0.830792418140665,0.832128569863365,0.833464721586066,
0.834800873308766,0.836137025031466,0.837473176754167,0.838809328476867,
0.840145480199568,0.841481631922268,0.842817783644968,0.844153935367669,
0.845490087090369,0.846826238813070,0.848162390535770,0.849498542258470,
0.850834693981171,0.852170845703871,0.853506997426572,0.854843149149272,
0.856179300871973,0.857515452594673,0.858851604317373,0.860187756040074,
0.861523907762774,0.862860059485475,0.864196211208175,0.865532362930875,
0.866868514653576,0.868204666376276,0.869540818098977,0.870876969821677,
0.872213121544378,0.873549273267078,0.874885424989778,0.876221576712479,
0.877557728435179,0.878893880157880,0.880230031880580,0.881566183603280,
0.882902335325981,0.884238487048681,0.885574638771382,0.886910790494082,
0.888246942216783,0.889583093939483,0.890919245662183,0.892255397384884,
0.893591549107584,0.894927700830285,0.896263852552985,0.897600004275685,
0.898936155998386,0.900272307721086,0.901608459443787,0.902944611166487,
0.904280762889188,0.905616914611888,0.906953066334588,0.908289218057289,
0.909625369779989,0.910961521502690,0.912297673225390,0.913633824948090,
0.914969976670791,0.916306128393491,0.917642280116192,0.919000395123209,
0.920338788669353,0.921654913780206,0.922949140962045,0.924221834556595,
0.925473352843603,0.926704048141686,0.927914266907520,0.929104349833374,
0.930274631943016,0.931425442686031,0.932557106030558,0.933669940554492,
0.934764259535182,0.935840371037602,0.936898578001085,0.937939178324610,
0.938962464950653,0.939968725947663,0.940958244591156,0.941931299443453,
0.942888164432106,0.943829108927011,0.944754397816244,0.945664291580614,
0.946559046367014,0.947438914060509,0.948304142355261,0.949154974824251,
0.949991650987844,0.950814406381226,0.951623472620704,0.952419077468909,
0.953201444898923,0.953970795157311,0.954727344826145,0.955471306883966,
0.956202890765733,0.956922302421791,0.957629744375846,0.958325415781975,
0.959009512480699,0.959682227054106,0.960343748880064,0.960994264185543,
0.961633956099033,0.962263004702097,0.962881587080076,0.963489877371918,
0.964088046819229,0.964676263814465,0.965254693948328,0.965823500056402,
0.966382842264975,0.966932878036132,0.967473762212069,0.968005647058694,
0.968528682308485,0.969043015202643,0.969548790532545,0.970046150680502,
0.970580611369582,0.971115072058662,0.971649532747743,0.972183993436823,
0.972718454125903,0.973252914814983,0.973787375504063,0.974321836193144,
0.974856296882223,0.975390757571304,0.975925218260384,0.976459678949464,
0.976994139638544,0.977528600327624,0.978063061016705,0.978597521705785,
0.979131982394865,0.979666443083945,0.980200903773025,0.980735364462105,
0.981269825151186,0.981804285840266,0.982338746529346,0.982873207218426,
0.983407667907506,0.983942128596586,0.984476589285667,0.985011049974747,
0.985545510663827,0.986079971352907,0.986614432041987,0.987148892731067,
0.987683353420148,0.988217814109228,0.988752274798308,0.989286735487388,
0.989821196176468,0.990355656865548,0.990890117554629,0.991424578243709,
0.991959038932789,0.992493499621869,0.993027960310949,0.993562421000029,
0.994096881689110,0.994631342378190,0.995165803067270,0.995700263756350,
0.996234724445430,0.996769185134510,0.997303645823591,0.997704491340401,
0.998105336857211,0.998522611695603,0.998922580696883,0.999222557447843,
0.999422541948483,0.999572530323963,0.999702520249380,0.999822510949763,
0.999872507074923,0.999892505524987,0.999922503200083,0.999949226234537,
0.999975949268991,0.999989310786218,0.999995991544832,1.0};
constant Real[Ninterval, 4] Tcoef={{2.428119691060830e+012,-4.216479757645069e+008,
9.287051822649143e+004,1.698508300000001e+002},{2.166914762300397e+012,
-3.992111678478829e+008,9.062913441482277e+004,1.700999999999999e+002},
{1.899159185577863e+012,-3.795555733430910e+008,8.878532320450363e+004,
1.703092800000000e+002},{1.629916579808073e+012,-3.435128543022376e+008,
8.477062663992558e+004,1.707856300000000e+002},{1.398839241865448e+012,
-3.108983786183325e+008,8.093962908382615e+004,1.712651700000000e+002},
{1.200574221723735e+012,-2.813879938533571e+008,7.728396604745965e+004,
1.717479200000000e+002},{1.030417923000963e+012,-2.546836477814989e+008,
7.379541586188905e+004,1.722339300000000e+002},{8.844001037952972e+011,
-2.305189284572275e+008,7.046631066361128e+004,1.727232300000000e+002},
{7.590860483164475e+011,-2.086514602087597e+008,6.728926490972207e+004,
1.732158600000001e+002},{6.515463964671414e+011,-1.888629690497167e+008,
6.425730760561715e+004,1.737118499999999e+002},{5.592552216502428e+011,
-1.709551666980799e+008,6.136372775951276e+004,1.742112400000000e+002},
{4.800416585372977e+011,-1.547489317359679e+008,5.860218639168952e+004,
1.747140600000000e+002},{4.120619529393444e+011,-1.400824449235276e+008,
5.596654048742052e+004,1.752203600000000e+002},{3.537140308461040e+011,
-1.268087414876019e+008,5.345098341920615e+004,1.757301800000000e+002},
{3.036357271971793e+011,-1.147956769847417e+008,5.105003430189027e+004,
1.762435499999999e+002},{2.606525213033651e+011,-1.039230394931327e+008,
4.875837260556154e+004,1.767605200000000e+002},{2.237609674834909e+011,
-9.408262939444540e+007,4.657101751284228e+004,1.772811199999999e+002},
{1.922419405902699e+011,-8.518143962347658e+007,4.448317923172022e+004,
1.778053999999999e+002},{1.656321149901774e+011,-7.714416678199874e+007,
4.249042535564808e+004,1.783334000000000e+002},{1.431407593855788e+011,
-6.989094076846488e+007,4.058849075808411e+004,1.788651600000000e+002},
{1.241037279204862e+011,-6.345000608556164e+007,3.880841089253586e+004,
1.793900000000000e+002},{1.078897726938036e+011,-5.787323844457100e+007,
3.719668427889198e+004,1.798900000000000e+002},{9.388245239329929e+010,
-5.281986768088788e+007,3.566287663310264e+004,1.803899999999999e+002},
{8.177026870962473e+010,-4.823785073207039e+007,3.420275088737812e+004,
1.808900000000001e+002},{7.128653091837167e+010,-4.408054713844873e+007,
3.281232303846304e+004,1.813900000000000e+002},{6.220419978100047e+010,
-4.030623531248382e+007,3.148784749056206e+004,1.818900000000000e+002},
{5.432814901566791e+010,-3.687745020027063e+007,3.022579953184881e+004,
1.823900000000000e+002},{4.749233588110072e+010,-3.376066397124648e+007,
2.902286362710196e+004,1.828899999999999e+002},{4.155352730607562e+010,
-3.092570824858189e+007,2.787591713537610e+004,1.833900000000000e+002},
{3.638967234175739e+010,-2.834555680690369e+007,2.678202091246125e+004,
1.838900000000000e+002},{3.189545805614265e+010,-2.599587187121439e+007,
2.573840508245055e+004,1.843899999999999e+002},{2.798050203785508e+010,
-2.385478375872732e+007,2.474246009078133e+004,1.848900000000000e+002},
{2.456737261968692e+010,-2.190263720157386e+007,2.379172636307514e+004,
1.853900000000000e+002},{2.158887725624487e+010,-2.012168454337252e+007,
2.288388355112532e+004,1.858900000000000e+002},{1.898760836682233e+010,
-1.849598750549042e+007,2.201674428367421e+004,1.863900000000000e+002},
{1.671373899396782e+010,-1.701114199658637e+007,2.118824358594005e+004,
1.868900000000001e+002},{1.472442515376055e+010,-1.565417444528254e+007,
2.039643299085866e+004,1.873900000000000e+002},{1.298254187769645e+010,
-1.441336250162147e+007,1.963947244326254e+004,1.878900000000000e+002},
{1.145612023308615e+010,-1.327813374098965e+007,1.891562443180674e+004,
1.883899999999999e+002},{1.011726329520874e+010,-1.223890854106894e+007,
1.822324676787706e+004,1.888899999999999e+002},{8.942115914174372e+009,
-1.128706309621500e+007,1.756078856084207e+004,1.893899999999999e+002},
{7.909709317744029e+009,-1.041475590863545e+007,1.692678236252691e+004,
1.898900000000000e+002},{7.002011600872572e+009,-9.614913403719645e+006,
1.631984148717728e+004,1.903899999999999e+002},{6.203335937528857e+009,
-8.881122302459281e+006,1.573865385204634e+004,1.908899999999999e+002},
{5.500000426851387e+009,-8.207563992121900e+006,1.518197779409089e+004,
1.913900000000000e+002},{4.880147872846049e+009,-7.588969652936688e+006,
1.464863839566741e+004,1.918900000000000e+002},{4.333458916781487e+009,
-7.020558044503353e+006,1.413752314725710e+004,1.923900000000000e+002},
{3.850903162697156e+009,-6.497982633829402e+006,1.364757825073601e+004,
1.928900000000000e+002},{3.424640794532519e+009,-6.017301775739881e+006,
1.317780570385806e+004,1.933900000000000e+002},{3.047820397687019e+009,
-5.574930915074369e+006,1.272725963793938e+004,1.938900000000000e+002},
{2.714455522862305e+009,-5.167610077477907e+006,1.229504347489282e+004,
1.943900000000000e+002},{2.419310099883856e+009,-4.792372987537484e+006,
1.188030713941842e+004,1.948900000000000e+002},{2.157814657986750e+009,
-4.446521482506972e+006,1.148224448765968e+004,1.953900000000000e+002},
{1.925958574178695e+009,-4.127595989843101e+006,1.110009063273798e+004,
1.958900000000000e+002},{1.720235556842085e+009,-3.833356838509688e+006,
1.073311982718851e+004,1.963900000000000e+002},{1.537568498602969e+009,
-3.561761260770541e+006,1.038064313240985e+004,1.968900000000000e+002},
{1.375254807055739e+009,-3.310945444478069e+006,1.004200642469327e+004,
1.973900000000000e+002},{1.230926157318009e+009,-3.079209502474114e+006,
9.716588529824085e+003,1.978900000000000e+002},{1.102501569080066e+009,
-2.865000978909834e+006,9.403799307559229e+003,1.983899999999999e+002},
{9.881431890151527e+008,-2.666899927117780e+006,9.103077924469371e+003,
1.988900000000000e+002},{8.862460643504052e+008,-2.483611530634848e+006,
8.813891493500507e+003,1.993900000000000e+002},{7.953869975993569e+008,
-2.313948910499454e+006,8.535733187669037e+003,1.998900000000000e+002},
{7.143138769691485e+008,-2.156827077065875e+006,8.268121128719055e+003,
2.003900000000000e+002},{6.419280859884250e+008,-2.011254157318892e+006,
8.010596993801432e+003,2.008900000000001e+002},{5.772519450401038e+008,
-1.876319403262300e+006,7.762724544343183e+003,2.013900000000000e+002},
{5.194272793309037e+008,-1.751190083800481e+006,7.524088760577367e+003,
2.018899999999999e+002},{4.676942564542144e+008,-1.635102283023300e+006,
7.294294502273217e+003,2.023900000000000e+002},{4.213813991521418e+008,
-1.527355501832372e+006,7.072965529370125e+003,2.028900000000000e+002},
{3.798929639616593e+008,-1.427306562607491e+006,6.859743479795654e+003,
2.033900000000000e+002},{3.427034243188576e+008,-1.334365732814233e+006,
6.654287012551113e+003,2.038900000000000e+002},{3.093461000479141e+008,
-1.247990970222474e+006,6.456270819862391e+003,2.043900000000000e+002},
{2.794066491203365e+008,-1.167684115936397e+006,6.265384847491296e+003,
2.048900000000000e+002},{2.525185307660005e+008,-1.092987656856107e+006,
6.081333540245373e+003,2.053899999999999e+002},{2.283558222313167e+008,
-1.023480600819874e+006,5.903835032062275e+003,2.058900000000000e+002},
{2.066285778103371e+008,-9.587754989355512e+005,5.732620476110842e+003,
2.063899999999999e+002},{1.870796358504928e+008,-8.985159698708151e+005,
5.567433409816551e+003,2.068900000000000e+002},{1.694800630152804e+008,
-8.423737208584454e+005,5.408029086050894e+003,2.073900000000000e+002},
{1.536254323472121e+008,-7.900460905552147e+005,5.254173889079566e+003,
2.078900000000000e+002},{1.393350041292428e+008,-7.412546763455822e+005,
5.105644838061499e+003,2.083900000000000e+002},{1.264461946876812e+008,
-6.957420884142442e+005,4.962228931931791e+003,2.088900000000000e+002},
{1.148149957717430e+008,-6.532714037371146e+005,4.823722794654673e+003,
2.093900000000000e+002},{1.043126918759436e+008,-6.136238260582621e+005,
4.689932103330038e+003,2.098900000000000e+002},{9.482399240733823e+007,
-5.765972058455468e+005,4.560671161847407e+003,2.103900000000000e+002},
{8.624641502669747e+007,-5.420050981894244e+005,4.435762520264600e+003,
2.108900000000000e+002},{7.848790676326571e+007,-5.096749922949291e+005,
4.315036509192491e+003,2.113899999999999e+002},{7.146637230514374e+007,
-4.794475711409992e+005,4.198330916505517e+003,2.118899999999999e+002},
{6.510826527489491e+007,-4.511754575867408e+005,4.085490594353537e+003,
2.123900000000000e+002},{5.934772889807401e+007,-4.247223114761246e+005,
3.976367129792119e+003,2.128900000000000e+002},{5.412562005348311e+007,
-3.999618944172335e+005,3.870818517414752e+003,2.133899999999999e+002},
{4.938925600232123e+007,-3.767775105272770e+005,3.768708878722507e+003,
2.138899999999999e+002},{4.509087667312729e+007,-3.550607788424417e+005,
3.669908110384081e+003,2.143900000000000e+002},{4.118807316164903e+007,
-3.347115756562438e+005,3.574291699195102e+003,2.148900000000000e+002},
{3.764247330924181e+007,-3.156368905942572e+005,3.481740374155148e+003,
2.153899999999999e+002},{3.441971899342819e+007,-2.977505663723726e+005,
3.392139916478927e+003,2.158900000000000e+002},{3.148883664649886e+007,
-2.809726258964635e+005,3.305380896883451e+003,2.163899999999999e+002},
{2.882206369704212e+007,-2.652289174340525e+005,3.221358471964407e+003,
2.168900000000000e+002},{2.639430226411493e+007,-2.504505234176753e+005,
3.139972148385238e+003,2.173900000000001e+002},{2.418303052952018e+007,
-2.365735031462724e+005,3.061125608726445e+003,2.178900000000000e+002},
{2.216790736643471e+007,-2.235384141346653e+005,2.984726499486276e+003,
2.183900000000000e+002},{2.033061705830633e+007,-2.112900306234645e+005,
2.910686262830227e+003,2.188900000000000e+002},{1.865461368328635e+007,
-1.997769906568943e+005,2.838919956827780e+003,2.193900000000000e+002},
{1.712501178845796e+007,-1.889515587375750e+005,2.769346100218770e+003,
2.198900000000000e+002},{1.572830246673164e+007,-1.787692672877184e+005,
2.701886501082210e+003,2.203900000000002e+002},{1.445234208083232e+007,
-1.691887831467449e+005,2.636466131342296e+003,2.208899999999999e+002},
{1.328611259790656e+007,-1.601715845366386e+005,2.573012964462273e+003,
2.213899999999999e+002},{1.221967792218837e+007,-1.516818185846242e+005,
2.511457857150583e+003,2.218899999999999e+002},{1.124402410901016e+007,
-1.436860587692310e+005,2.451734410827016e+003,2.223900000000001e+002},
{1.035100231090916e+007,-1.361531635944861e+005,2.393778859436568e+003,
2.228900000000000e+002},{9.533236131047620e+006,-1.290541003018532e+005,
2.337529949475997e+003,2.233899999999999e+002},{8.784032342642559e+006,
-1.223617814028497e+005,2.282928828509020e+003,2.238899999999999e+002},
{8.097324140450608e+006,-1.160509373912711e+005,2.229918944431192e+003,
2.243900000000000e+002},{7.467609003399250e+006,-1.100979854201498e+005,
2.178445944730142e+003,2.248900000000000e+002},{6.889898183747469e+006,
-1.044809122220948e+005,2.128457581571682e+003,2.253900000000001e+002},
{6.359654158917572e+006,-9.917915038790123e+004,2.079903618776534e+003,
2.258900000000000e+002},{5.872759686767209e+006,-9.417349114733808e+004,
2.032735749928480e+003,2.263900000000000e+002},{5.425475631504861e+006,
-8.944598462814202e+004,1.986907513929262e+003,2.268900000000000e+002},
{5.014390733055720e+006,-8.497983886637562e+004,1.942374214543448e+003,
2.273900000000000e+002},{4.636415792979381e+006,-8.075936791787535e+004,
1.899092852995913e+003,2.278900000000000e+002},{4.288733044060946e+006,
-7.676988872480289e+004,1.857022047834165e+003,2.283900000000000e+002},
{3.968773876673203e+006,-7.299765929671984e+004,1.816121971306828e+003,
2.288899999999999e+002},{3.674202520100520e+006,-6.942982257803570e+004,
1.776354286367471e+003,2.293900000000000e+002},{3.402892107203013e+006,
-6.605434102471954e+004,1.737682082113611e+003,2.298900000000000e+002},
{3.152896273279971e+006,-6.285993128052545e+004,1.700069813095759e+003,
2.303899999999999e+002},{2.922447601033651e+006,-5.983603289980221e+004,
1.663483248995434e+003,2.308899999999999e+002},{2.709926760057117e+006,
-5.697273957445595e+004,1.627889413642931e+003,2.313900000000000e+002},
{2.513861217833642e+006,-5.426077246627386e+004,1.593256539802403e+003,
2.318900000000001e+002},{2.332900319601032e+006,-5.169142195505573e+004,
1.559554014347537e+003,2.323900000000000e+002},{2.165813772476697e+006,
-4.925652436360114e+004,1.526752336938422e+003,2.328900000000000e+002},
{2.011475838578284e+006,-4.694841733751677e+004,1.494823071235126e+003,
2.333899999999999e+002},{1.868856269356124e+006,-4.475990809519066e+004,
1.463738803224226e+003,2.338900000000000e+002},{1.737013293432888e+006,
-4.268424495431413e+004,1.433473101024697e+003,2.343900000000000e+002},
{1.615084644443825e+006,-4.071508653570022e+004,1.404000474764923e+003,
2.348899999999998e+002},{1.502280625890901e+006,-3.884647544872509e+004,
1.375296339470493e+003,2.353900000000001e+002},{1.397877494187559e+006,
-3.707281331859772e+004,1.347336979285312e+003,2.358900000000000e+002},
{1.301213605644812e+006,-3.538884022447428e+004,1.320099513857462e+003,
2.363899999999998e+002},{1.211679248380561e+006,-3.378960565339209e+004,
1.293561863094709e+003,2.368900000000000e+002},{1.128718624184195e+006,
-3.227045988925767e+004,1.267702720329528e+003,2.373900000000000e+002},
{1.051819631323617e+006,-3.082702432545408e+004,1.242501517244634e+003,
2.378900000000000e+002},{9.805119943329289e+005,-2.945517899158243e+004,
1.217938398261965e+003,2.383900000000000e+002},{9.143661234246076e+005,
-2.815104963832588e+004,1.193994193542140e+003,2.388899999999999e+002},
{8.529843036096668e+005,-2.691098269234095e+004,1.170650388729732e+003,
2.393900000000000e+002},{7.960030849987015e+005,-2.573154186886301e+004,
1.147889104993057e+003,2.398900000000000e+002},{7.430884210129550e+005,
-2.460948952764748e+004,1.125693071288439e+003,2.403900000000000e+002},
{6.939312882245765e+005,-2.354177155605786e+004,1.104045600935325e+003,
2.408900000000000e+002},{6.482492262091814e+005,-2.252551343062689e+004,
1.082930572906883e+003,2.413899999999999e+002},{6.057812463458836e+005,
-2.155800267024627e+004,1.062332406718743e+003,2.418899999999999e+002},
{5.662875366021142e+005,-2.063668238211267e+004,1.042236044331130e+003,
2.423899999999999e+002},{5.295464858440637e+005,-1.975913928732001e+004,
1.022626929351548e+003,2.428900000000000e+002},{4.953547285884677e+005,
-1.892309832108412e+004,1.003490989941396e+003,2.433899999999999e+002},
{4.635243665572284e+005,-1.812641112749775e+004,9.848146189060615e+002,
2.438900000000000e+002},{4.338818671474538e+005,-1.736704928321503e+004,
9.665846574512200e+002,2.443900000000000e+002},{4.062679337763968e+005,
-1.664309916254490e+004,9.487883794001973e+002,2.448899999999999e+002},
{3.805346095862030e+005,-1.595275107074704e+004,9.314134731830150e+002,
2.453899999999999e+002},{3.565460578222151e+005,-1.529429731212101e+004,
9.144480292797495e+002,2.458899999999999e+002},{3.341763897850724e+005,
-1.466612297632049e+004,8.978805234049410e+002,2.463900000000000e+002},
{3.133095571597457e+005,-1.406670233964544e+004,8.816998038639424e+002,
2.468900000000000e+002},{2.938381657336060e+005,-1.349459252458615e+004,
8.658950773076953e+002,2.473899999999999e+002},{2.756629705093029e+005,
-1.294842921334388e+004,8.504558962743154e+002,2.478900000000001e+002},
{2.586922013389850e+005,-1.242692195684236e+004,8.353721466343773e+002,
2.483899999999999e+002},{2.428410028923686e+005,-1.192884991972681e+004,
8.206340356628965e+002,2.488900000000001e+002},{2.280307218527483e+005,
-1.145305746217065e+004,8.062320804248278e+002,2.493899999999998e+002},
{2.141886791630994e+005,-1.099845109336764e+004,7.921570972279910e+002,
2.498900000000000e+002},{2.012474588055167e+005,-1.056399519338368e+004,
7.784001905236512e+002,2.503900000000000e+002},{1.891447383294132e+005,
-1.014870937969869e+004,7.649527432295186e+002,2.508900000000000e+002},
{1.778225648933724e+005,-9.751664453811391e+003,7.518064063753014e+002,
2.513900000000000e+002},{1.672274901217288e+005,-9.371980845757489e+003,
7.389530906287266e+002,2.518900000000000e+002},{1.573096370463601e+005,
-9.008824060035608e+003,7.263849560163876e+002,2.523900000000000e+002},
{1.480229998054410e+005,-8.661403967241104e+003,7.140944046859372e+002,
2.528899999999999e+002},{1.393247573204245e+005,-8.328970961973500e+003,
7.020740713322290e+002,2.533900000000000e+002},{1.311751868668219e+005,
-8.010814302914930e+003,6.903168158285998e+002,2.538900000000000e+002},
{1.235374217684196e+005,-7.706259887656581e+003,6.788157153740614e+002,
2.543900000000000e+002},{1.163771876379430e+005,-7.414668078450832e+003,
6.675640569646922e+002,2.548900000000000e+002},{1.096627095692096e+005,
-7.135432106638779e+003,6.565553304580889e+002,2.553900000000000e+002},
{1.033643398452726e+005,-6.867975679189847e+003,6.457832212746632e+002,
2.558899999999999e+002},{9.745461870325112e+004,-6.611752090606020e+003,
6.352416044310508e+002,2.563899999999998e+002},{9.190798963753549e+004,
-6.366242084979492e+003,6.249245375741506e+002,2.568900000000000e+002},
{8.670064055849906e+004,-6.130952362236059e+003,6.148262549854942e+002,
2.573900000000000e+002},{8.181042020600053e+004,-5.905414374178652e+003,
6.049411618718673e+002,2.578900000000000e+002},{7.721677640854748e+004,
-5.689183128996180e+003,5.952638286607794e+002,2.583899999999999e+002},
{7.290044135202718e+004,-5.481835253654937e+003,5.857889850231684e+002,
2.588900000000000e+002},{6.884362660689066e+004,-5.282968916694660e+003,
5.765115155427385e+002,2.593900000000000e+002},{6.502964570767200e+004,
-5.092201572104827e+003,5.674264535024774e+002,2.598899999999999e+002},
{6.144296599615412e+004,-4.909169573093382e+003,5.585289768075917e+002,
2.603900000000000e+002},{5.806916350594535e+004,-4.733527235738733e+003,
5.498144031252836e+002,2.608900000000001e+002},{5.489471665728002e+004,
-4.564945391819472e+003,5.412781848879703e+002,2.613899999999999e+002},
{5.190705215061930e+004,-4.403111022700504e+003,5.329159054741148e+002,
2.618899999999999e+002},{4.909445721484846e+004,-4.247726255069810e+003,
5.247232746761317e+002,2.623900000000000e+002},{4.644593911428791e+004,
-4.098507286040056e+003,5.166961244486026e+002,2.628900000000000e+002},
{4.395128803961570e+004,-3.955184162531220e+003,5.088304055117806e+002,
2.633899999999999e+002},{4.160096100295921e+004,-3.817499734155457e+003,
5.011221830784011e+002,2.638900000000001e+002},{3.938601346943615e+004,
-3.685208951092035e+003,4.935676332701902e+002,2.643900000000000e+002},
{3.729813534244107e+004,-3.558078575814604e+003,4.861630399003062e+002,
2.648900000000000e+002},{3.532951540796938e+004,-3.435886151050459e+003,
4.789047905747109e+002,2.653900000000000e+002},{3.347288342828854e+004,
-3.318419829035272e+003,4.717893738824646e+002,2.658900000000001e+002},
{3.172142027917930e+004,-3.205477566352382e+003,4.648133758676585e+002,
2.663899999999999e+002},{3.006875992796082e+004,-3.096866799830403e+003,
4.579734772020614e+002,2.668899999999999e+002},{2.850893674371467e+004,
-2.992403858160356e+003,4.512664500780765e+002,2.673900000000000e+002},
{2.703637806135581e+004,-2.891913613497721e+003,4.446891554758121e+002,
2.678900000000000e+002},{2.564585331227819e+004,-2.795228937660512e+003,
4.382385402712435e+002,2.683899999999999e+002},{2.433248558704846e+004,
-2.702190470535179e+003,4.319116347685376e+002,2.688900000000000e+002},
{2.309167689222681e+004,-2.612645984757337e+003,4.257055498446611e+002,
2.693900000000000e+002},{2.191914997435190e+004,-2.526450353074852e+003,
4.196174748723824e+002,2.698899999999999e+002},{2.081087709618847e+004,
-2.443464913240735e+003,4.136446749057724e+002,2.703900000000000e+002},
{1.976308961002175e+004,-2.363557314740986e+003,4.077844886436558e+002,
2.708900000000000e+002},{1.877225549790460e+004,-2.286601167769257e+003,
4.020343260965227e+002,2.713900000000000e+002},{1.783505491279766e+004,
-2.212475713419265e+003,3.963916663955540e+002,2.718900000000000e+002},
{1.694838403963000e+004,-2.141065646731519e+003,3.908540558216300e+002,
2.723900000000000e+002},{1.610932000557480e+004,-2.072260732910480e+003,
3.854191056171448e+002,2.728899999999999e+002},{1.531512874676714e+004,
-2.005955680031755e+003,3.800844902084921e+002,2.733900000000001e+002},
{1.456323697582539e+004,-1.942049804693102e+003,3.748479451687998e+002,
2.738900000000000e+002},{1.385123026469367e+004,-1.880446871012044e+003,
3.697072655023023e+002,2.743899999999999e+002},{1.317684399562190e+004,
-1.821054876924206e+003,3.646603038516667e+002,2.748899999999999e+002},
{1.253794303834637e+004,-1.763785795953628e+003,3.597049687290192e+002,
2.753899999999999e+002},{1.193253057409521e+004,-1.708555492422938e+003,
3.548392230103814e+002,2.758900000000000e+002},{1.135872219923051e+004,
-1.655283426022064e+003,3.500610821583481e+002,2.763900000000000e+002},
{1.081475019376878e+004,-1.603892563634609e+003,3.453686128301867e+002,
2.768900000000001e+002},{1.029894855746364e+004,-1.554309165597434e+003,
3.407599312946576e+002,2.773900000000000e+002},{9.809756431292144e+003,
-1.506462692323420e+003,3.362332020717720e+002,2.778900000000001e+002},
{9.345698521645902e+003,-1.460285569720035e+003,3.317866364015975e+002,
2.783899999999999e+002},{8.905390176188423e+003,-1.415713129876954e+003,
3.274184910384032e+002,2.788900000000000e+002},{8.487528222283663e+003,
-1.372683444667674e+003,3.231270668582708e+002,2.793900000000001e+002},
{8.090883603193332e+003,-1.331137188443026e+003,3.189107075891501e+002,
2.798899999999998e+002},{7.714300903571747e+003,-1.291017548047196e+003,
3.147677986317169e+002,2.803899999999999e+002},{7.356691193390297e+003,
-1.252270086933305e+003,3.106967658260311e+002,2.808900000000000e+002},
{7.017027940720315e+003,-1.214842639685586e+003,3.066960743158503e+002,
2.813900000000000e+002},{6.694344504639365e+003,-1.178685218691503e+003,
3.027642274486991e+002,2.818900000000000e+002},{6.387729498401815e+003,
-1.143749907833270e+003,2.988997656793167e+002,2.823900000000000e+002},
{6.096323639887130e+003,-1.109990771522367e+003,2.951012655307434e+002,
2.828900000000000e+002},{5.819316375605656e+003,-1.077363765273413e+003,
2.913673385813619e+002,2.833899999999999e+002},{5.555945230723103e+003,
-1.045826664792471e+003,2.876966304991468e+002,2.838900000000000e+002},
{5.305486577084192e+003,-1.015338940849282e+003,2.840878200262260e+002,
2.843899999999999e+002},{5.067262644382695e+003,-9.858617563664993e+002,
2.805396181886476e+002,2.848899999999999e+002},{4.840629717527347e+003,
-9.573578165466240e+002,2.770507672483719e+002,2.853900000000001e+002},
{4.624982316899136e+003,-9.297913562094941e+002,2.736200399658823e+002,
2.858899999999998e+002},{4.419748465054315e+003,-9.031280472312861e+002,
2.702462386898002e+002,2.863899999999999e+002},{4.224387583152579e+003,
-8.773349366812882e+002,2.669281945592340e+002,2.868900000000001e+002},
{4.038388297731713e+003,-8.523803870286566e+002,2.636647667234346e+002,
2.873900000000000e+002},{3.861269499591353e+003,-8.282340390911418e+002,
2.604548416035581e+002,2.878899999999999e+002},{3.692574672364702e+003,
-8.048667226026902e+002,2.572973320823326e+002,2.883900000000000e+002},
{3.531873216036285e+003,-7.822504319031273e+002,2.541911768555779e+002,
2.888899999999999e+002},{3.378757294095987e+003,-7.603582607212622e+002,
2.511353396959848e+002,2.893899999999999e+002},{3.232842821404854e+003,
-7.391643734589071e+002,2.481288088106870e+002,2.898899999999998e+002},
{3.093764229251524e+003,-7.186439267744648e+002,2.451705961230077e+002,
2.903899999999998e+002},{2.961178144974160e+003,-6.987730702280496e+002,
2.422597367302420e+002,2.908899999999999e+002},{2.834757569070961e+003,
-6.795288612382922e+002,2.393952881854896e+002,2.913899999999999e+002},
{2.714194398673150e+003,-6.608892613772416e+002,2.365763299875632e+002,
2.918900000000000e+002},{2.599196768073861e+003,-6.428330798822078e+002,
2.338019629427569e+002,2.923899999999999e+002},{2.489487678826580e+003,
-6.253399364968090e+002,2.310713086112715e+002,2.928900000000000e+002},
{2.384805817113105e+003,-6.083902428896103e+002,2.283835087915235e+002,
2.933899999999999e+002},{2.284902791850232e+003,-5.919651508239373e+002,
2.257377249419197e+002,2.938899999999999e+002},{2.189543827088161e+003,
-5.760465367399366e+002,2.231331377069458e+002,2.943900000000001e+002},
{2.098506646267296e+003,-5.606169661265348e+002,2.205689463939640e+002,
2.948899999999999e+002},{2.011580322023283e+003,-5.456596605580177e+002,
2.180443684809316e+002,2.953900000000000e+002},{1.928564097136700e+003,
-5.311584690552852e+002,2.155586391540247e+002,2.958899999999999e+002},
{1.849269849310739e+003,-5.170978692137003e+002,2.131110108940667e+002,
2.963899999999999e+002},{1.773516707295410e+003,-5.034628931867380e+002,
2.107007529155836e+002,2.968900000000000e+002},{1.701135034894489e+003,
-4.902391539141415e+002,2.083271508720442e+002,2.973899999999999e+002},
{1.631962729032615e+003,-4.774127857226459e+002,2.059895063267681e+002,
2.978900000000001e+002},{1.565846506555941e+003,-4.649704442461410e+002,
2.036871364135052e+002,2.983900000000002e+002},{1.502641202683996e+003,
-4.528992802485624e+002,2.014193734124408e+002,2.988900000000002e+002},
{1.442208277348613e+003,-4.411869095737466e+002,1.991855643479903e+002,
2.993899999999999e+002},{1.384416824560510e+003,-4.298214105524195e+002,
1.969850706592951e+002,2.998899999999999e+002},{1.329142377546727e+003,
-4.187912951655748e+002,1.948172677994267e+002,3.003899999999999e+002},
{1.276266832977576e+003,-4.080854951975836e+002,1.926815448953401e+002,
3.008900000000000e+002},{1.225677744534944e+003,-3.976933420081253e+002,
1.905773043972621e+002,3.013899999999999e+002},{1.177268608034691e+003,
-3.876045575132537e+002,1.885039617618329e+002,3.018900000000000e+002},
{1.130938214911173e+003,-3.778092338214274e+002,1.864609451086512e+002,
3.023900000000000e+002},{1.086590010013511e+003,-3.682978157856858e+002,
1.844476949037983e+002,3.028899999999999e+002},{1.044132879850411e+003,
-3.590610987951029e+002,1.824636636814579e+002,3.033900000000000e+002},
{1.003479421950269e+003,-3.500901978022080e+002,1.805083156956392e+002,
3.038900000000000e+002},{9.645474592133718e+002,-3.413765556572088e+002,
1.785811266916289e+002,3.043899999999999e+002},{9.272577564186632e+002,
-3.329119057516371e+002,1.766815835499424e+002,3.048899999999999e+002},
{8.915361551869480e+002,-3.246882895151356e+002,1.748091840997496e+002,
3.053899999999999e+002},{8.573109718488198e+002,-3.166980141610849e+002,
1.729634367537797e+002,3.058900000000000e+002},{8.245149278413157e+002,
-3.089336702127797e+002,1.711438603429205e+002,3.063900000000000e+002},
{7.930833414616905e+002,-3.013880987490236e+002,1.693499837846950e+002,
3.068899999999999e+002},{7.629551004957449e+002,-2.940543974650270e+002,
1.675813458946156e+002,3.073899999999999e+002},{7.340718127746320e+002,
-2.869259009969820e+002,1.658374951082294e+002,3.078900000000000e+002},
{7.063778149375254e+002,-2.799961751758680e+002,1.641179892660677e+002,
3.083899999999998e+002},{6.798204571715311e+002,-2.732590129072642e+002,
1.624223953944419e+002,3.088899999999998e+002},{6.543490746840538e+002,
-2.667084141948034e+002,1.607502894508461e+002,3.093900000000000e+002},
{6.299159798870081e+002,-2.603385935161680e+002,1.591012561598878e+002,
3.098899999999998e+002},{6.064752538059523e+002,-2.541439563436756e+002,
1.574748887477705e+002,3.103899999999999e+002},{5.839833827181259e+002,
-2.481191036566246e+002,1.558707887864211e+002,3.108899999999999e+002},
{5.623990077331871e+002,-2.422588210581205e+002,1.542885659710487e+002,
3.113900000000002e+002},{5.416823557921136e+002,-2.365580664806819e+002,
1.527278379169916e+002,3.118899999999998e+002},{5.217959156466890e+002,
-2.310119745447131e+002,1.511882300065326e+002,3.123900000000000e+002},
{5.027036118421444e+002,-2.256158391224129e+002,1.496693751642845e+002,
3.128900000000001e+002},{4.843711839704919e+002,-2.203651149878204e+002,
1.481709137107541e+002,3.133899999999999e+002},{4.667659843054528e+002,
-2.152554094514039e+002,1.466924931733644e+002,3.138900000000000e+002},
{4.498567607109622e+002,-2.102824750478224e+002,1.452337681136751e+002,
3.143899999999999e+002},{4.336138489909362e+002,-2.054422081085836e+002,
1.437943999757566e+002,3.148900000000000e+002},{4.180087357727423e+002,
-2.007306382064600e+002,1.423740569063953e+002,3.153900000000000e+002},
{4.030144488980337e+002,-1.961439302658990e+002,1.409724136234017e+002,
3.158899999999998e+002},{3.886050416261347e+002,-1.916783723946983e+002,
1.395891512326833e+002,3.163899999999999e+002},{3.747559197643732e+002,
-1.873303777536728e+002,1.382239571063902e+002,3.168899999999999e+002},
{3.614434175252985e+002,-1.830964742279822e+002,1.368765247137150e+002,
3.173900000000002e+002},{3.486450944768750e+002,-1.789733061102790e+002,
1.355465535030190e+002,3.178900000000001e+002},{3.363394583248588e+002,
-1.749576258474919e+002,1.342337487433366e+002,3.183899999999999e+002},
{3.245059552231471e+002,-1.710462911782989e+002,1.329378213973440e+002,
3.188900000000000e+002},{3.131249934400873e+002,-1.672362625597232e+002,
1.316584879935901e+002,3.193900000000001e+002},{3.021778376318846e+002,
-1.635245982990388e+002,1.303954704917012e+002,3.198900000000000e+002},
{2.916465737356219e+002,-1.599084513847945e+002,1.291484961596401e+002,
3.203900000000000e+002},{2.815140960863762e+002,-1.563850665721780e+002,
1.279172974528968e+002,3.208899999999999e+002},{2.717640535010451e+002,
-1.529517768326230e+002,1.267016118931412e+002,3.213899999999999e+002},
{2.623807958853618e+002,-1.496060000695831e+002,1.255011819518896e+002,
3.218899999999999e+002},{2.533493995716780e+002,-1.463452370568750e+002,
1.243157549397372e+002,3.223900000000000e+002},{2.446555324337382e+002,
-1.431670669227680e+002,1.231450828893681e+002,3.228899999999998e+002},
{2.362855481501693e+002,-1.400691465868011e+002,1.219889224559401e+002,
3.233900000000001e+002},{2.282263709932994e+002,-1.370492063764239e+002,
1.208470348027104e+002,3.238900000000001e+002},{2.204654530507506e+002,
-1.341050475503324e+002,1.197191855005348e+002,3.243900000000000e+002},
{2.129908699326103e+002,-1.312345418623600e+002,1.186051444334383e+002,
3.248899999999999e+002},{2.057911337612362e+002,-1.284356261218127e+002,
1.175046856861692e+002,3.253900000000000e+002},{1.988552794177001e+002,
-1.257063023229668e+002,1.164175874610275e+002,3.258900000000000e+002},
{1.921728401770502e+002,-1.230446350569414e+002,1.153436319785049e+002,
3.263899999999999e+002},{1.857337349822465e+002,-1.204487478255335e+002,
1.142826053796536e+002,3.268899999999998e+002},{1.795283572515752e+002,
-1.179168232471038e+002,1.132342976468749e+002,3.273899999999998e+002},
{1.735474970466655e+002,-1.154470997486489e+002,1.121985025073361e+002,
3.278900000000000e+002},{1.677823331351591e+002,-1.130378699689073e+002,
1.111750173492029e+002,3.283900000000000e+002},{1.622244016835726e+002,
-1.106874787369236e+002,1.101636431365233e+002,3.288900000000000e+002},
{1.568656145421817e+002,-1.083943220437680e+002,1.091641843297179e+002,
3.293899999999999e+002},{1.516982207140161e+002,-1.061568447400119e+002,
1.081764488004225e+002,3.298899999999999e+002},{1.467147735728482e+002,
-1.039735387115258e+002,1.072002477527532e+002,3.303900000000000e+002},
{1.419081528245269e+002,-1.018429421114725e+002,1.062353956494466e+002,
3.308900000000001e+002},{1.372715346463949e+002,-9.976363736558096e+001,
1.052817101318265e+002,3.313899999999999e+002},{1.327983662960232e+002,
-9.773424955603815e+001,1.043390119451407e+002,3.318900000000000e+002},
{1.284823811146052e+002,-9.575344556746910e+001,1.034071248680371e+002,
3.323899999999998e+002},{1.243175382743625e+002,-9.381993180831613e+001,
1.024858756363024e+002,3.328900000000000e+002},{1.202980857716605e+002,
-9.193245448523439e+001,1.015750938798825e+002,3.333900000000000e+002},
{1.164184832888737e+002,-9.008979675148045e+001,1.006746120438895e+002,
3.338900000000000e+002},{1.126734095942744e+002,-8.829077808760059e+001,
9.978426532565882e+001,3.343900000000001e+002},{1.090577734365635e+002,
-8.653425359100095e+001,9.890389160942104e+001,3.348899999999999e+002},
{1.055666864095504e+002,-8.481911235197464e+001,9.803333139647950e+001,
3.353900000000000e+002},{1.021954515577647e+002,-8.314427636901104e+001,
9.717242774102454e+001,3.358900000000000e+002},{9.893956151385201e+001,
-8.150869971730866e+001,9.632102618748574e+001,3.363900000000000e+002},
{9.579468908688170e+001,-7.991136750831623e+001,9.547897470672068e+001,
3.368899999999999e+002},{9.275669381231643e+001,-7.835129514294606e+001,
9.464612363393020e+001,3.373900000000000e+002},{8.982156217702787e+001,
-7.682752633542408e+001,9.382232560288357e+001,3.378899999999999e+002},
{8.698548803471240e+001,-7.533913420559925e+001,9.300743549507918e+001,
3.383900000000002e+002},{8.424476965419449e+001,-7.388521810035263e+001,
9.220131036581432e+001,3.388900000000000e+002},{8.159588334052123e+001,
-7.246490478296335e+001,9.140380939689695e+001,3.393900000000000e+002},
{7.903542293508620e+001,-7.107734622418560e+001,9.061479382770111e+001,
3.398900000000000e+002},{7.656012346841582e+001,-6.972171965580679e+001,
8.983412690204482e+001,3.403900000000001e+002},{7.416684232872031e+001,
-6.839722645285069e+001,8.906167380618470e+001,3.408900000000000e+002},
{7.185255755015002e+001,-6.710309157552798e+001,8.829730161148777e+001,
3.413899999999999e+002},{6.961436087200231e+001,-6.583856282410744e+001,
8.754087921483382e+001,3.418899999999998e+002},{6.744071144058677e+001,
-6.460275810641772e+001,8.679227669290511e+001,3.423900000000000e+002},
{6.533736714406254e+001,-6.339506228364169e+001,8.605136666621638e+001,
3.428900000000000e+002},{6.331010443040145e+001,-6.221493679466649e+001,
8.531802314304329e+001,3.433900000000000e+002},{6.136356979419681e+001,
-6.104400934164141e+001,8.458025754148792e+001,3.438982188586610e+002},
{5.950910769914493e+001,-5.991653377419485e+001,8.386060214553304e+001,
3.443990577691702e+002},{5.774213795912628e+001,-5.883273750086214e+001,
8.315996185918330e+001,3.448915636307768e+002},{5.605740872805171e+001,
-5.779050749965268e+001,8.247767612460307e+001,3.453758750902661e+002},
{5.445002414326789e+001,-5.678785488691579e+001,8.181311338100387e+001,
3.458521284875891e+002},{5.291543947575813e+001,-5.582290706691298e+001,
8.116566953938508e+001,3.463204578942522e+002},{5.144941514216728e+001,
-5.489389939019187e+001,8.053476654316889e+001,3.467809951510519e+002},
{5.004800476275456e+001,-5.399916819680369e+001,7.991985102044619e+001,
3.472338699051960e+002},{4.870752053753856e+001,-5.313714386862832e+001,
7.932039301451977e+001,3.476792096467971e+002},{4.742453515559163e+001,
-5.230634512701585e+001,7.873588479339902e+001,3.481171397447639e+002},
{4.619582778847320e+001,-5.150537243699205e+001,7.816583972221676e+001,
3.485477834820968e+002},{4.501839582534991e+001,-5.073290350231906e+001,
7.760979121186911e+001,3.489712620905890e+002},{4.388943451850130e+001,
-4.998768810694993e+001,7.706729172077169e+001,3.493876947849560e+002},
{4.280631164785162e+001,-4.926854332619763e+001,7.653791181582945e+001,
3.497971987964010e+002},{4.176655526408100e+001,-4.857434938684333e+001,
7.602123928892645e+001,3.501998894056100e+002},{4.076786327604572e+001,
-4.790404616352511e+001,7.551687832371779e+001,3.505958799752079e+002},
{3.980805733673829e+001,-4.725662870019470e+001,7.502444870357830e+001,
3.509852819816741e+002},{3.888510061148567e+001,-4.663114456970701e+001,
7.454358507290264e+001,3.513682050467190e+002},{3.799708329453679e+001,
-4.602669045951641e+001,7.407393623185125e+001,3.517447569681489e+002},
{3.714219720456370e+001,-4.544240891400779e+001,7.361516447128999e+001,
3.521150437502121e+002},{3.631874498673679e+001,-4.487748602903891e+001,
7.316694494766297e+001,3.524791696334351e+002},{3.552513982192850e+001,
-4.433114893405369e+001,7.272896508813832e+001,3.528372371239739e+002},
{3.475986373173623e+001,-4.380266269275900e+001,7.230092402560834e+001,
3.531893470224679e+002},{3.402150381919826e+001,-4.329132906864620e+001,
7.188253207215109e+001,3.535355984524188e+002},{3.330871802177212e+001,
-4.279648372667590e+001,7.147351021030326e+001,3.538760888880901e+002},
{3.262024083566979e+001,-4.231749458406720e+001,7.107358961785731e+001,
3.542109141819540e+002},{3.195487579527898e+001,-4.185375988374079e+001,
7.068251121409816e+001,3.545401685916690e+002},{3.131148674881513e+001,
-4.140470653297403e+001,7.030002523183052e+001,3.548639448066199e+002},
{3.068901235671067e+001,-4.096978874137064e+001,6.992589080997549e+001,
3.551823339740079e+002},{3.008642901657157e+001,-4.054848592928184e+001,
6.955987560500161e+001,3.554954257245101e+002},{2.950278142274513e+001,
-4.014030203900851e+001,6.920175542777736e+001,3.558033081975119e+002},
{2.893714926772632e+001,-3.974476359913557e+001,6.885131389159386e+001,
3.561060680659211e+002},{2.838867997995928e+001,-3.936141920744957e+001,
6.850834208489954e+001,3.564037905605628e+002},{2.785653948598558e+001,
-3.898983744199484e+001,6.817263825199957e+001,3.566965594941810e+002},
{2.733994891367559e+001,-3.862960663002127e+001,6.784400749871969e+001,
3.569844572850220e+002},{2.683817826345350e+001,-3.828033360882353e+001,
6.752226150569864e+001,3.572675649800471e+002},{2.635049716009461e+001,
-3.794164206628756e+001,6.720721825603974e+001,3.575459622777420e+002},
{2.587625347730658e+001,-3.761317301384136e+001,6.689870178268673e+001,
3.578197275505541e+002},{2.541479976649183e+001,-3.729458259106318e+001,
6.659654191726963e+001,3.580889378669559e+002},{2.496551525675362e+001,
-3.698554184967730e+001,6.630057406013974e+001,3.583536690131409e+002},
{2.452710525070210e+001,-3.668572794713256e+001,6.601063893678912e+001,
3.586139955143569e+002},{2.410360417001564e+001,-3.639490086428960e+001,
6.572658259420633e+001,3.588699906558899e+002},{2.368210844621412e+001,
-3.611258607414033e+001,6.544825524888769e+001,3.591217265036901e+002},
{2.327622138968802e+001,-3.583876497287966e+001,6.517551349931662e+001,
3.593692739246600e+002},{2.285763234098723e+001,-3.557279939313234e+001,
6.490821598447343e+001,3.596127026066080e+002},{2.239716065038261e+001,
-3.531437500835054e+001,6.464622739113473e+001,3.598520810778630e+002},
{2.261286818614434e+001,-3.507154486626255e+001,6.438943523372159e+001,
3.600874767265670e+002},{2.115907150454445e+001,-3.481174562600655e+001,
6.413762093896931e+001,3.603189558196478e+002},{2.159545498645849e+001,
-3.459060253341110e+001,6.389086012794930e+001,3.605465835214680e+002},
{2.102568471888965e+001,-3.435729682605923e+001,6.364880929050617e+001,
3.607704239121769e+002},{2.067684918221991e+001,-3.413518689782911e+001,
6.341147902075354e+001,3.609905400057469e+002},{2.033460501975768e+001,
-3.391960694365179e+001,6.317872830742419e+001,3.612069937677100e+002},
{1.999858565664685e+001,-3.371036657708588e+001,6.295044799142224e+001,
3.614198461326062e+002},{1.966841892720444e+001,-3.350728276179628e+001,
6.272653214279693e+001,3.616291570211340e+002},{1.934374242040421e+001,
-3.331017987964569e+001,6.250687794476657e+001,3.618349853570229e+002},
{1.902410836898150e+001,-3.311888848756182e+001,6.229138557796490e+001,
3.620373890836158e+002},{1.870908669701693e+001,-3.293324699210280e+001,
6.207995811721918e+001,3.622364251801869e+002},{1.839809418279004e+001,
-3.275309960418061e+001,6.187250141735893e+001,3.624321496779760e+002},
{1.808335136498075e+001,-3.257823292493270e+001,6.166892388130226e+001,
3.626246176759661e+002},{1.776248672564552e+001,-3.240847057790838e+001,
6.146913652788158e+001,3.628138833563929e+002},{1.743245820179932e+001,
-3.224362752288467e+001,6.127305262354953e+001,3.629999999999999e+002},
{1.708940169785534e+001,-3.206925059654591e+001,6.106275077012659e+001,
3.631999999999998e+002},{1.727072380355401e+001,-3.190283448428098e+001,
6.085287055989324e+001,3.634000000000002e+002},{1.576467522519720e+001,
-3.171731020772320e+001,6.064333258200428e+001,3.636000000000000e+002},
{1.639061885722927e+001,-3.156729873543955e+001,6.043429544463123e+001,
3.638000000000000e+002},{1.577581090427984e+001,-3.139814584618751e+001,
6.022552408630595e+001,3.640000000000001e+002},{1.543114797734251e+001,
-3.123725025299474e+001,6.001714130776343e+001,3.642000000000000e+002},
{1.508206908869408e+001,-3.107920267388456e+001,5.980909872430626e+001,
3.644000000000001e+002},{1.472796538577313e+001,-3.092406207912170e+001,
5.960138055055287e+001,3.646000000000000e+002},{1.436821268934422e+001,
-3.077189392866886e+001,5.939397035423640e+001,3.647999999999999e+002},
{1.400211036945577e+001,-3.062276983306427e+001,5.918685099995032e+001,
3.649999999999999e+002},{1.362888293958223e+001,-3.047676843426775e+001,
5.898000459303437e+001,3.652000000000000e+002},{1.324767438217522e+001,
-3.033397615333581e+001,5.877341241576365e+001,3.654000000000000e+002},
{1.285753973119515e+001,-3.019448807281502e+001,5.856705485715880e+001,
3.656000000000000e+002},{1.245741665183489e+001,-3.005840871434270e+001,
5.836091133461882e+001,3.657999999999999e+002},{1.204608676545747e+001,
-2.992585293758458e+001,5.815496020672768e+001,3.660000000000001e+002},
{1.162216928497416e+001,-2.979694764877785e+001,5.794917867743944e+001,
3.661999999999999e+002},{1.118402249211580e+001,-2.967183260501715e+001,
5.774354268368643e+001,3.663999999999999e+002},{1.072966463770549e+001,
-2.955066252866774e+001,5.753802677196912e+001,3.666000000000000e+002},
{1.025660267328408e+001,-2.943360905079618e+001,5.733260395197137e+001,
3.668000000000001e+002},{9.761584790130781e+000,-2.932086371792684e+001,
5.712724552477193e+001,3.670000000000000e+002},{9.240175660907763e+000,
-2.921264175923935e+001,5.692192087203171e+001,3.672000000000001e+002},
{8.686057647179084e+000,-2.910918755650368e+001,5.671659719110131e+001,
3.673999999999998e+002},{8.778234040826405e+000,-2.901811342102016e+001,
5.651125648369048e+001,3.675999999999999e+002},{6.691629539833685e+000,
-2.890243901808726e+001,5.630576331567251e+001,3.677999999999998e+002},
{7.290370456106036e+000,-2.883742522272521e+001,5.610033249324230e+001,
3.679999999999999e+002},{6.272233268873873e+000,-2.874834766050094e+001,
5.589459420906075e+001,3.682000000000001e+002},{5.558422478759069e+000,
-2.867317963045713e+001,5.568870519404406e+001,3.683999999999999e+002},
{4.792961753723030e+000,-2.860487749510562e+001,5.548256579547770e+001,
3.685999999999999e+002},{3.968238215541748e+000,-2.854396871234190e+001,
5.527612109369429e+001,3.687999999999998e+002},{3.075217193011998e+000,
-2.849105390721893e+001,5.506931114354074e+001,3.690000000000001e+002},
{2.103060257219561e+000,-2.844681941762896e+001,5.486207027055930e+001,
3.692000000000001e+002},{1.038687074059420e+000,-2.841205356272049e+001,
5.465432623928827e+001,3.694000000000000e+002},{-1.339999048012931e-001,
-2.838766434327866e+001,5.444599925272737e+001,3.696000000000000e+002},
{-1.435063121990103e+000,-2.837470417780358e+001,5.423700075757526e+001,
3.698000000000000e+002},{-2.890489367153537e+000,-2.837439436195233e+001,
5.402723196589630e+001,3.700000000000001e+002},{-4.535509502325382e+000,
-2.838815668289008e+001,5.381658203375368e+001,3.702000000000000e+002},
{-6.421717110684526e+000,-2.841764003690377e+001,5.360492570392729e+001,
3.704000000000001e+002},{-8.029122269107946e+000,-2.847153711327977e+001,
5.339213717659963e+001,3.705999999999999e+002},{-1.150718130865884e+001,
-2.852257064861725e+001,5.317796925804201e+001,3.708000000000000e+002},
{-1.357244772388494e+001,-2.862919062243810e+001,5.296244024140553e+001,
3.710000000000001e+002},{-1.717479675911297e+001,-2.874214450332900e+001,
5.274508640521118e+001,3.711999999999999e+002},{-2.123801901866396e+001,
-2.889134404513250e+001,5.252580043857113e+001,3.714000000000001e+002},
{-2.619511142469762e+001,-2.907738790923127e+001,5.230424646131181e+001,
3.716000000000000e+002},{-3.236073058364635e+001,-2.930723253179286e+001,
5.208006194513168e+001,3.717999999999999e+002},{-4.022068942597398e+001,
-2.958957539713408e+001,5.185280422638054e+001,3.720000000000000e+002},
{-5.027803753687388e+001,-2.993866920656852e+001,5.162193160829787e+001,
3.721999999999999e+002},{-6.436974496162212e+001,-3.035919422556437e+001,
5.138671614373845e+001,3.724000000000002e+002},{-8.360686397848249e+001,
-3.088595220083816e+001,5.114631483263473e+001,3.726000000000000e+002},
{-1.100834389241486e+002,-3.155568586681570e+001,5.089950843562296e+001,
3.728000000000001e+002},{-1.472841062914758e+002,-3.245099931262556e+001,
5.064476196619719e+001,3.730000000000000e+002},{-2.021579877018242e+002,
-3.370859211762419e+001,5.037989000027908e+001,3.732000000000001e+002},
{-2.897791479469411e+002,-3.471839082840622e+001,5.017174758533965e+001,
3.733500000000000e+002},{-4.370418417975305e+002,-3.595572803188362e+001,
4.995306621058514e+001,3.735000000000001e+002},{-6.808564431390644e+002,
-3.803753250618856e+001,4.971098502785520e+001,3.736561480000000e+002},
{-1.079182893585270e+003,-4.178442673431590e+001,4.945933042367851e+001,
3.738058199999999e+002},{-1.681835788759286e+003,-4.662329946397544e+001,
4.925008325739737e+001,3.739180740000000e+002},{-2.582563222934587e+003,
-5.134362044917342e+001,4.909428751215069e+001,3.739929099999999e+002},
{-4.106828068576426e+003,-5.577687841590389e+001,4.896368572381315e+001,
3.740490370000001e+002},{-5.107591845246606e+003,-6.580440293493800e+001,
4.883933501194808e+001,3.740976804000001e+002},{-9.771765920564003e+003,
-7.560712452291881e+001,4.870422526751046e+001,3.741425820000000e+002},
{-8.755497642709564e+003,-8.742278426612906e+001,4.864183118847620e+001,
3.741612909999998e+002},{-9.815118604201449e+003,-9.075723406919788e+001,
4.861419440063168e+001,3.741687745999999e+002},{-1.598688798560589e+004,
-9.374464327459545e+001,4.857016747633733e+001,3.741800000000001e+002},
{-1.920875724714269e+004,-1.019624881152255e+002,4.852930969549549e+001,
3.741899999999998e+002},{-1.636215913588905e+005,-7.659891465615223e+001,
4.848251558276280e+001,3.741999999999999e+002},{-1.286897688417260e+006,
1.186575607887113e+001,4.845730381784014e+001,3.742050000000000e+002},{
8.838952576730371e+007,-4.445028478910222e+003,4.849792832024318e+001,
3.742074999999999e+002}};
constant Real[Ninterval, 4] ptcoef={{0.786553610980441,0.073986317581331,
0.004029258982827,0.000095977628483},{0.804804842020852,
0.075513868977931,0.004128852620146,0.000098693577477},{
0.826483769874362,0.076781180144682,0.004214141994619,0.000101026437564},
{0.852226781522051,0.079838214007716,0.004413722019840,
0.000106516958458},{0.878734233127809,0.083011720420838,
0.004622630654312,0.000112305941336},{0.905918938100631,
0.086306406812799,0.004841289235230,0.000118409424841},{
0.933873884997079,0.089726230581858,0.005070153132594,0.000124844693392},
{0.962577238137988,0.093275895699320,0.005309687431187,
0.000131629706447},{0.992070856558737,0.096959926219076,
0.005560383405310,0.000138783529530},{1.022340779604642,
0.100783239811202,0.005822748456693,0.000146326107976},{
1.053408429650162,0.104750722856737,0.006097318061549,0.000154278611181},
{1.085334401770672,0.108867191838833,0.006384645627683,
0.000162663184614},{1.118066059070003,0.113138431880924,
0.006685319756183,0.000171503506240},{1.151675830716446,
0.117569521390065,0.006999950677252,0.000180824369499},{
1.186152658253827,0.122166182229820,0.007329167943923,0.000190651710758},
{1.221529325860328,0.126934198374854,0.007673642176701,
0.000201013248529},{1.257786462283640,0.131879624460586,
0.008034059624186,0.000211937791220},{1.294812956053328,
0.137009131430195,0.008411150309429,0.000223456117470},{
1.332050814897662,0.142331923230738,0.008805666323160,0.000235600452886},
{1.369397755526468,0.147855890364265,0.009218393425041,
0.000248404751272},{1.406816638143677,0.153467769902578,
0.009641353399052,0.000261628465319},{1.444356079648527,
0.158956456158090,0.010059134663008,0.000274788118369},{
1.482496486580440,0.164593208638941,0.010491786565620,0.000288515879081},
{1.521219525653765,0.170380509776158,0.010939707938024,
0.000302831882662},{1.560542804418774,0.176320624445618,
0.011403304275305,0.000317756801604},{1.600437543776211,
0.182416074041046,0.011882987053658,0.000333311854289},{
1.640936272107287,0.188669018847875,0.012379174551977,0.000349518813327},
{1.681996400839473,0.195082050643184,0.012892290728097,
0.000366400014143},{1.723656934024151,0.201657263429387,
0.013422766529104,0.000383978363163},{1.765877582075693,
0.208397225399801,0.013971038423670,0.000402277346453},{
1.808673898875252,0.215304119402563,0.014537549727065,0.000421321037758},
{1.852056948436205,0.222380208630733,0.015122749655067,
0.000441134107092},{1.895976234842191,0.229628047386924,
0.015727093310843,0.000461741828759},{1.940485837249081,
0.237049568378319,0.016351042726376,0.000483170089585},{
1.985535349395222,0.244647339911478,0.016995065014999,0.000505445397324},
{2.031148612115400,0.252423430625727,0.017659634148470,
0.000528594888329},{2.077302947391230,0.260380191193645,
0.018345229588173,0.000552646335999},{2.124013371424510,
0.268519730288320,0.019052337090330,0.000577628158512},{
2.171233734600246,0.276844461955414,0.019781447908203,0.000603569426887},
{2.219036879803186,0.285356138275785,0.020533059923821,
0.000630499872733},{2.267319033113332,0.294057511278019,
0.021307675460814,0.000658449896208},{2.316150758140982,
0.302950218193697,0.022105804263753,0.000687450573315},{
2.365499765564834,0.312036591386713,0.022927960463078,0.000717533664244},
{2.415341254676885,0.321318803772746,0.023774664275808,
0.000748731620229},{2.465702228666255,0.330798721201480,
0.024646441777799,0.000781077591413},{2.516566337049237,
0.340478491545039,0.025543824020845,0.000814605434250},{
2.567900988365430,0.350360262236221,0.026467347650949,0.000849349718558},
{2.619736333280843,0.360445798567964,0.027417555102175,
0.000885345734951},{2.672048765758521,0.370737202172238,
0.028394993495523,0.000922629502038},{2.724826587346702,
0.381236432325441,0.029400215484282,0.000961237773163},{
2.778063214522083,0.391945380908662,0.030433778913126,0.001001208043570},
{2.831766036616288,0.402865857403683,0.031496246697041,
0.001042578557225},{2.885908682390723,0.413999836240006,
0.032588186505531,0.001085388313488},{2.940499375779766,
0.425349047466033,0.033710171266653,0.001129677073668},{
2.995518695471547,0.436915364909673,0.034862778477020,0.001175485367706},
{3.050956509836956,0.448700547312638,0.036046590569830,
0.001222854500461},{3.106820822095549,0.460706240111525,
0.037262194688661,0.001271826558129},{3.163093309167843,
0.472934226350843,0.038510182323064,0.001322444414376},{
3.219746757773316,0.485386251264479,0.039791149597540,0.001374751736327},
{3.276823378325092,0.498063672720634,0.041105697402525,
0.001428792990668},{3.334256093194325,0.510968455863627,
0.042454430092932,0.001484613449495},{3.392066452222572,
0.524101941700382,0.043837957232333,0.001542259195759},{
3.450267320729766,0.537465592429579,0.045256892052289,0.001601777129328},
{3.508789067634338,0.551061252504325,0.046711851466142,
0.001663214972080},{3.567677958706406,0.564890022697125,
0.048203457357055,0.001726621273310},{3.626905151411771,
0.578953490302442,0.049732334529406,0.001792045415320},{
3.686462083749643,0.593253045708126,0.051299111947236,0.001859537618008},
{3.746327635912001,0.607790095318200,0.052904422199431,
0.001929148944129},{3.806521328539690,0.622565797973926,
0.054548901665213,0.002000931304129},{3.867009632214078,
0.637581603413359,0.056233189735702,0.002074937460871},{
3.927782116924284,0.652838734378914,0.057957929579066,0.002151221034049},
{3.988852365666806,0.668338275550249,0.059723767660887,
0.002229836504888},{4.050192516216124,0.684081532186310,
0.061531353270102,0.002310839220353},{4.111789278896813,
0.700069639448781,0.063381339086498,0.002394285397225},{
4.173651666210960,0.716303589828222,0.065274380831822,0.002480232126358},
{4.235756676172436,0.732784540271985,0.067211136814012,
0.002568737376544},{4.298085502042800,0.749513538707623,
0.069192268324502,0.002659859998184},{4.360671661599279,
0.766491347937005,0.071218439541212,0.002753659727090},{
4.423438949366865,0.783719304937090,0.073290316468236,0.002850197187960},
{4.486438551377852,0.801197930575199,0.075408568729196,
0.002949533897579},{4.549635083346689,0.818928297908401,
0.077573867304666,0.003051732268502},{4.613005208765145,
0.836911289865486,0.079786885896258,0.003156855611648},{
4.676574403683728,0.855147500168120,0.082048300614339,0.003264968139624},
{4.740297050704474,0.873637909632577,0.084358789038483,
0.003376134969544},{4.804190690507514,0.892383063052667,
0.086719031350494,0.003490422125512},{4.868235121873531,
0.911383726822147,0.089129709147211,0.003607896541475},{
4.932419559693664,0.930640548615199,0.091591505998932,0.003728626063414},
{4.996730104947655,0.950154145354210,0.094105107137860,
0.003852679451797},{5.061189204396221,0.969924932558094,
0.096671199500138,0.003980126383733},{5.125721774355183,
0.989953806668835,0.099290470904280,0.004111037454977},{
5.190399776670092,1.010240773734387,0.101963611687264,0.004245484181735},
{5.255151436743157,1.030786704419071,0.104691312074425,
0.004383539002791},{5.319997881680896,1.051591809289908,
0.107474264565075,0.004525275280559},{5.384915083275455,
1.072656564602096,0.110313162173150,0.004670767303162},{
5.449915764807296,1.093981202980726,0.113208699187816,0.004820090285488},
{5.514961084515890,1.115566214746911,0.116161570403907,
0.004973320370546},{5.580069995165794,1.137411702858405,
0.119172471924876,0.005130534630481},{5.645214917013816,
1.159518032770311,0.122242100064668,0.005291811067763},{
5.710397135075893,1.181885343682942,0.125371152069178,0.005457228615834},
{5.775601905695197,1.204513844192818,0.128560325505952,
0.005626867140010},{5.840835782784636,1.227403598430226,
0.131810318497041,0.005800807438005},{5.906059494800497,
1.250554880485784,0.135121829207348,0.005979131240455},{
5.971301283679346,1.273967536407251,0.138495556564960,0.006161921211248},
{6.036525184627135,1.297641782816887,0.141932199008561,
0.006349260947941},{6.101742108554982,1.321577504276583,
0.145432455530469,0.006541234981608},{6.166925944102037,
1.345774777484733,0.148997024740760,0.006737928777106},{
6.232083718610021,1.370233441641100,0.152626605432942,0.006939428732812},
{6.297207184980851,1.394953425336797,0.156321895953925,
0.007145822180530},{6.362277871137049,1.419934665093411,
0.160083594379107,0.007357197385014},{6.427293032446297,
1.445176960347283,0.163912398571472,0.007573643543593},{
6.492248494825507,1.470680105264633,0.167809005838224,0.007795250785685},
{6.557139915959902,1.496443877947695,0.171774112913575,
0.008022110172037},{6.621948550316446,1.522468096828492,
0.175808415864079,0.008254313693933},{6.686677764125916,
1.548752416568682,0.179912610249625,0.008491954272338},{
6.751318489523362,1.575296555162762,0.184087390680888,0.008735125756982},
{6.815849328693517,1.602100243679581,0.188333450922353,
0.008983922925176},{6.880294415977666,1.629162944906189,
0.192651484067798,0.009238441480674},{6.944622895829550,
1.656484438791168,0.197042181708333,0.009498778052406},{
7.008826622849972,1.684064290571623,0.201506234762844,0.009765030192908},
{7.072914856384893,1.711901963064116,0.206044333006924,
0.010037296377091},{7.136877800207411,1.739997032582018,
0.210657164762212,0.010315676000575},{7.200691051456989,
1.768349094724015,0.215345417113497,0.010600269377903},{
7.264377479650122,1.796957457787893,0.220109776102959,0.010891177740886},
{7.327906141296870,1.825821737448506,0.224950925854684,
0.011188503236811},{7.391293625276115,1.854941234807067,
0.229869549469729,0.011492348926300},{7.454508371077754,
1.884315510467502,0.234866328098409,0.011802818781492},{
7.517569054229431,1.913943797155383,0.239941941727175,0.012120017683787},
{7.580459415407503,1.943825542494100,0.245097068267364,
0.012444051421826},{7.643171908708069,1.973960094001435,
0.250332384098234,0.012775026689016},{7.705707996362623,
2.004346732841488,0.255648563847159,0.013113051081326},{
7.768059519623182,2.034984784600641,0.261046280194050,0.013458233094852},
{7.830220904482947,2.065873531807347,0.266526203982097,
0.013810682123266},{7.892188564751971,2.097012226673120,
0.272089004114447,0.014170508455295},{7.953965487964128,
2.128400080683881,0.277735347500195,0.014537823272081},{
8.015523649434170,2.160036441620303,0.283465898846533,0.014912738644454},
{8.076895462829125,2.191920302660508,0.289281321183433,
0.015295367530163},{8.138044320167687,2.224051063573816,
0.295182274777506,0.015685823771147},{8.198976439581513,
2.256427805724049,0.301169418248213,0.016084222090402},{
8.259707938402711,2.289049595720479,0.307243407828786,0.016490678089312},
{8.320192607430975,2.321915814614592,0.313404897121920,
0.016905308244463},{8.380470028810771,2.355025314333463,
0.319654538135147,0.017328229904537},{8.440522518139051,
2.388377335023929,0.325992979815505,0.017759561287442},{
8.500322217978708,2.421971086721057,0.332420868948437,0.018199421476779},
{8.559907453252212,2.455805402507063,0.338938850295470,
0.018647930418875},{8.619247679352942,2.489879545144593,
0.345547565459140,0.019105208919565},{8.678350338810887,
2.524192502690502,0.352247654043904,0.019571378640574},{
8.737200358793032,2.558743383285288,0.359039752909466,0.020046562096445},
{8.795818738593697,2.593531090067868,0.365924496580261,
0.020530882651035},{8.854183207405342,2.628554783799626,
0.372902516607536,0.021024464514114},{8.912292637601727,
2.663813451198047,0.379974442256104,0.021527432737748},{
8.970164816146156,2.699305998657141,0.387140900144449,0.022039913212986},
{9.027764581740044,2.735031616100854,0.394402513874834,
0.022562032666223},{9.085123127706376,2.770989086540987,
0.401759904933333,0.023093918655552},{9.142217145365851,
2.807177536491606,0.409213691526334,0.023635699567366},{
9.199057526581893,2.843595861945240,0.416764489523273,0.024187504612462},
{9.255634156711325,2.880243086753219,0.424412911826686,
0.024749463822588},{9.311949978406053,2.917118141884187,
0.432159568722993,0.025321708046652},{9.368005011068972,
2.954219981819242,0.440005067647167,0.025904368947099},{
9.423798091407672,2.991547565855996,0.447950013236107,0.026497578996133},
{9.479322284803363,3.029099871775003,0.455995007318796,
0.027101471471982},{9.534586801784080,3.066875784845970,
0.464140649013009,0.027716180455168},{9.589583111450359,
3.104874298352855,0.472387534443667,0.028341840824758},{
9.644318672936832,3.143094307303569,0.480736257056818,0.028978588254514},
{9.698780209475908,3.181534819712769,0.489187407311572,
0.029626559209175},{9.752988166020387,3.220194655215614,
0.497741573065422,0.030285890940625},{9.806914003161001,
3.259072911744028,0.506399338956173,0.030956721484151},{
9.860588583346717,3.298168334723664,0.515161287270285,0.031639189654531},
{9.913991884695866,3.337479997260490,0.524027996925208,
0.032333435042396},{9.967130228266164,3.377006786609229,
0.533000044348281,0.033039598010199},{10.020005553537565,
3.416747632921908,0.542078003011462,0.033757819688613},{
10.072615604413384,3.456701490940380,0.551262443523183,
0.034488241972654},{10.124967253171006,3.496867269778813,
0.560553933719096,0.035231007517885},{10.177046563723209,
3.537243989500037,0.569953038482225,0.035986259736650},{
10.228875748201631,3.577830469437759,0.579460320131242,
0.036754142794284},{10.280445312958783,3.618625745018311,
0.589076337835556,0.037534801605407},{10.331749969404274,
3.659628796758036,0.598801648151134,0.038328381830030},{
10.382798930610805,3.700838525857476,0.608636804932991,
0.039135029869976},{10.433600732654398,3.742253873156421,
0.618582359146748,0.039954892865162},{10.484133544637205,
3.783873935436875,0.628638858864915,0.040788118689806},{
10.534436373982112,3.825697478101712,0.638806849846641,
0.041634855948772},{10.584473346798614,3.867723723077579,
0.649086874493393,0.042495253974029},{10.634263232829829,
3.909951529450528,0.659479473130387,0.043369462820802},{
10.683818854528312,3.952379855381508,0.669985183113258,
0.044257633264281},{10.733119485900088,3.995007844903166,
0.680604538962431,0.045159916795814},{10.782187429189030,
4.037834386520546,0.691338072953496,0.046076465619372},{
10.831022040856825,4.080858550106148,0.702186314429305,
0.047007432648198},{10.879606700772708,4.124079466970156,
0.713149790186699,0.047952971501152},{10.927971273840956,
4.167496015473688,0.724229024778087,0.048913236499386},{
10.976106518013856,4.211107350457580,0.735424539778802,
0.049888382663002},{11.024007342655198,4.254912573065150,
0.746736854471000,0.050878565707475},{11.071698030565202,
4.298910646304973,0.758166485812413,0.051883942040502},{
11.119157876862268,4.343100810847359,0.769713947959052,
0.052904668758722},{11.166410089929238,4.387482048337676,
0.781379753083690,0.053940903644358},{11.213444532743557,
4.432053567134218,0.793164410642923,0.054992805162211},{
11.260274048538790,4.476814442825981,0.805068428005676,
0.056060532456357},{11.306896593576145,4.521763862164671,
0.817092310086160,0.057144245347173},{11.353322382593026,
4.566900954540457,0.829236559658240,0.058244104328223},{
11.399547252019955,4.612224948003909,0.841501677172442,
0.059360270563319},{11.445587422729814,4.657734972153432,
0.853888161066984,0.060492905883569},{11.491426255466461,
4.703430353321102,0.866396507423689,0.061642172784548},{
11.537096574565506,4.749310152874991,0.879027210611636,
0.062808234423435},{11.582580184110803,4.795373768279950,
0.891780762485170,0.063991254616361},{11.627892085691373,
4.841620390979311,0.904657653309611,0.065191397835530},{
11.673035757508945,4.888049318737771,0.917658371228776,
0.066408829206806},{11.718011197256940,4.934659877239165,
0.930783402516026,0.067643714507045},{11.762834239165681,
4.981451328650070,0.944033231699365,0.068896220161631},{
11.807497796646979,5.028423090503301,0.957408341337984,
0.070166513242073},{11.852019325559198,5.075574453530177,
0.970909212484283,0.071454761463596},{11.896393217304059,
5.122904870887758,0.984536324306399,0.072761133182957},{
11.940631343927475,5.170413703210555,0.998290154543469,
0.074085797396168},{11.984740791999011,5.218100377914232,
1.012171179272453,0.075428923736457},{12.028718632188408,
5.265964390903449,1.026179873042613,0.076790682472158},{
12.072586720369342,5.314005127040347,1.040316709128782,
0.078171244504771},{12.116334688142151,5.362222187928859,
1.054582159164051,0.079570781367113},{12.159978238056379,
5.410615029139965,1.068976693754340,0.080989465221439},{
12.203519113274206,5.459183225116353,1.083500782085046,
0.082427468857874},{12.246973860534712,5.507926297975900,
1.098154892266446,0.083884965692685},{12.290333050611526,
5.556843940294234,1.112939491127611,0.085362129766796},{
12.333616287920439,5.605935690440304,1.127855044729348,
0.086859135744312},{12.376827944463761,5.655201226431555,
1.142902017949415,0.088376158911288},{12.419970336161901,
5.704640252028573,1.158080874821313,0.089913375174364},{
12.463057868403830,5.754252431854722,1.173392078642345,
0.091470961059675},{12.506093470453104,5.804037534286757,
1.188836091849739,0.093049093711825},{12.549084484576550,
5.853995321776277,1.204413376293114,0.094647950892901},{
12.592041013933368,5.904125575040546,1.220124393236732,
0.096267710981682},{12.634969844799203,5.954428128657826,
1.235969603401023,0.097908552972900},{12.677879333523451,
6.004902838096064,1.251949467106324,0.099570656476601},{
12.720778138710589,6.055549591140720,1.268064444332499,
0.101254201717648},{12.763677927417257,6.106368298174700,
1.284314994816732,0.102959369535330},{12.806573690779381,
6.157358983209033,1.300701578059685,0.104686341383082},{
12.849495734467585,6.208521508652972,1.317224653725359,
0.106435299328330},{12.892432395176041,6.259856026588764,
1.333884681122604,0.108206426052510},{12.935407425706483,
6.311362500376266,1.350682120030723,0.109999904851008},{
12.978425056907367,6.363041066848615,1.367617430188535,
0.111815919633535},{13.021491468318452,6.414891872038170,
1.384691071730111,0.113654654924339},{13.064617370780807,
6.466915068601184,1.401903505228866,0.115516295862749},{
13.107822326512034,6.519110816528661,1.419255191755479,
0.117401028203792},{13.151102428135824,6.571479448359150,
1.436746592829065,0.119309038318884},{13.194475889857047,
6.624021192307916,1.454378170915361,0.121240513196689},{
13.237950456876277,6.676736391559659,1.472150389150132,
0.123195640444242},{13.281543801507878,6.729625380540582,
1.490063711663251,0.125174608288032},{13.325252146812181,
6.782688650527698,1.508118603496211,0.127177605575334},{
13.369105579817697,6.835926541870936,1.526315531104156,
0.129204821775656},{13.413096345193450,6.889339667250363,
1.544654961877694,0.131256446982442},{13.457252262710217,
6.942928465635696,1.563137364930240,0.133332671914716},{
13.501577668383591,6.996693581650487,1.581763210613397,
0.135433687919157},{13.546081324560269,7.050635659475550,
1.600532971040650,0.137559686972068},{13.590784720119347,
7.104755327585545,1.619447120138809,0.139710861681738},{
13.635691247339029,7.159053373072407,1.638506133564744,
0.141887405290866},{13.680822070366473,7.213530525265771,
1.657710489160656,0.144089511679116},{13.726188668268707,
7.268187637271742,1.677060666796245,0.146317375365973},{
13.771798297574913,7.323025625062165,1.696557148667505,
0.148571191513651},{13.817664037870237,7.378045410406364,
1.716200419477746,0.150851155930304},{13.863822536457358,
7.433247873019335,1.735990966547698,0.153157465073401},{
13.910252564596428,7.488634271483426,1.755929279538731,
0.155490316053202},{13.957000220459447,7.544205509430398,
1.776015851602120,0.157849906636426},{14.004059404788652,
7.599962884516280,1.796251178364456,0.160236435250439},{
14.051458652306392,7.655907531048133,1.816635759011231,
0.162650100987143},{14.099212398107770,7.712040754313932,
1.837170095861397,0.165091103607519},{14.147325830763135,
7.768363954548588,1.857854694766285,0.167559643546089},{
14.195829055713423,7.824878452918044,1.878690065435772,
0.170055921915781},{14.244733952698137,7.881585764229075,
1.899676721206714,0.172580140513001},{14.294057776086026,
7.938487429382151,1.920815179546794,0.175132501822787},{
14.343815086396987,7.995585069263414,1.942105962124181,
0.177713209024381},{14.394032268232515,8.052880315699051,
1.963549595058805,0.180322465996985},{14.444723227764078,
8.110374956342044,1.985146608928002,0.182960477325750},{
14.495902989738047,8.168070830084497,2.006897539164692,
0.185627448307985},{14.547604591999210,8.225969763841938,
2.028802926260754,0.188323584959739},{14.599830390476210,
8.284073839908597,2.050863315657581,0.191049094022576},{
14.652622712367227,8.342384989911224,2.073079258516169,
0.193804182970581},{14.705976237638581,8.400905505967810,
2.095451311216376,0.196589060017819},{14.759945876695406,
8.459637417523181,2.117980036449677,0.199403934125846},{
14.814518646197049,8.518583246343280,2.140666002382416,
0.202249015011809},{14.869750175199750,8.577745187148663,
2.163509784095016,0.205124513156487},{14.925639645519096,
8.637125883725918,2.186511962629850,0.208030639813101},{
14.982229688310740,8.696727802523457,2.209673126244849,
0.210967607015953},{15.039533284178862,8.756553699721664,
2.232993869911483,0.213935627589852},{15.097579737480817,
8.816606318080309,2.256474796094395,0.216934915159529},{
15.156404639376522,8.876888492665323,2.280116514767052,
0.219965684159667},{15.216017087353354,8.937403307410889,
2.303919643575055,0.223028149845113},{15.276468737781256,
8.998153712061299,2.327884808606054,0.226122528301507},{
15.337764957062324,9.059143049053603,2.352012643941528,
0.229249036456430},{15.399953708033358,9.120374511511402,
2.376303792775960,0.232407892090670},{15.463063557119732,
9.181851562515480,2.400758907024612,0.235599313850235},{
15.527112665343029,9.243577821571789,2.425378647972495,
0.238823521258444},{15.592155238801022,9.305556836457487,
2.450163686802990,0.242080734728696},{15.658205916070527,
9.367792530614247,2.475114704329850,0.245371175577657},{
15.725311601613303,9.430288756971484,2.500232392044810,
0.248695066038703},{15.793507965239648,9.493049601511352,
2.525517451946825,0.252052629276138},{15.862825932729402,
9.556079312219197,2.550970597127956,0.255444089399622},{
15.933312197602097,9.619382197849491,2.576592552254044,
0.258869671479274},{16.004995953725416,9.682962824454661,
2.602384053692833,0.262329601561279},{16.077934097300989,
9.746825764001034,2.628345850269465,0.265824106683943},{
16.152154592300423,9.810975932600028,2.654478703227895,
0.269353414894413},{16.227712509060744,9.875418249703314,
2.680783387196289,0.272917755265819},{16.304641683475939,
9.940157940705490,2.707260690167921,0.276517357915222},{
16.383003793998693,10.005200254894007,2.733911414380859,
0.280152454021976},{16.462838398153838,10.070550777666666,
2.760736376351767,0.283823275846862},{16.544196962610815,
10.136215205238340,2.787736407777602,0.287530056751718},{
16.627135322317265,10.202199422476509,2.814912355868767,
0.291273031219949},{16.711706524449259,10.268509549183181,
2.842265083851243,0.295052434877599},{16.797965223152705,
10.335151911490948,2.869795471594543,0.298868504515166},{
16.885973077432112,10.402133026596109,2.897504416190871,
0.302721478110211},{16.975789197985613,10.469459668908286,
2.925392832470037,0.306611594850730},{17.067475629391790,
10.537138837988799,2.953461653692272,0.310539095159306},{
17.161101261098594,10.605177754876001,2.981711832178946,
0.314504220718140},{17.256727563447523,10.673583946230488,
3.010144339891328,0.318507214494939},{17.354434081476601,
10.742365112825921,3.038760169297755,0.322548320769679},{
17.454286888967282,10.811529328281166,3.067560333823008,
0.326627785162365},{17.556361872915055,10.881084891722661,
3.096545868856221,0.330745854661660},{17.660747345879500,
10.951040356809601,3.125717832414596,0.334902777654663},{
17.767513251246932,11.021404704495929,3.155077305781520,
0.339098803957625},{17.876753527147354,11.092187100141274,
3.184625394700079,0.343334184847757},{17.988558020215013,
11.163397102005085,3.214363229894611,0.347609173096297},{
18.103011475980828,11.235044648907479,3.244291968095110,
0.351924023002582},{18.220219931796926,11.307139934127857,
3.274412793120600,0.356278990429461},{18.340280778986866,
11.379693610445296,3.304726916567339,0.360674332839995},{
18.463298080493942,11.452716694435287,3.335235579044130,
0.365110309335374},{18.589380769544157,11.526220600337037,
3.365940051173917,0.369587180694344},{18.718647779688055,
11.600217138800916,3.396841634701593,0.374105209414034},{
18.851216237562294,11.674718604461052,3.427941663564171,
0.378664659752273},{18.987207173821421,11.749737745984419,
3.459241505194474,0.383265797771458},{19.126757016277303,
11.825287735512903,3.490742561796580,0.387908891384136},{
19.270000698205109,11.901382297719167,3.522446271500800,
0.392594210400251},{19.417078152378568,11.978035678304561,
3.554354109854081,0.397322026576132},{19.568141318232165,
12.055262635750358,3.586467591264484,0.402092613665429},{
19.723341784072204,12.133078538964597,3.618788270391853,
0.406906247471983},{19.882852937169588,12.211499277098069,
3.651317743856020,0.411763205904696},{20.046837713802415,
12.290541476213873,3.684057651628890,0.416663769034575},{
20.215476229183036,12.370222346595941,3.717009679046383,
0.421608219153951},{20.388962195235955,12.450559766172979,
3.750175558448313,0.426596840838175},{20.567492357396723,
12.531572377068581,3.783557070998268,0.431629921009646},{
20.751272461251776,12.613279573840439,3.817156048763674,
0.436707749004418},{20.940523114529331,12.695701516360126,
3.850974376794579,0.441830616641583},{21.135476236295002,
12.778859203541924,3.885013995236225,0.446998818295461},{
21.336375814837982,12.862774515603268,3.919276901634197,
0.452212650970746},{21.543467768371034,12.947470302848114,
3.953765153318787,0.457472414380798},{21.757039843293096,
13.032970233643164,3.988480870150037,0.462778411029265},{
21.977357441327399,13.119299219389090,4.023426236698062,
0.468130946295191},{22.204737719518644,13.206483027886401,
4.058603505710217,0.473530328521646},{22.439488108542466,
13.294548737309782,4.094015000456882,0.478976869108469},{
22.681951162306543,13.383524517175067,4.129663118341967,
0.484470882608819},{22.932481353049372,13.473439862652034,
4.165550333923462,0.490012686830258},{23.191458098134174,
13.564325589516613,4.201679202567487,0.495602602940237},{
23.459284149429621,13.656213940965090,4.238052364104783,
0.501240955576484},{23.736388399611037,13.749138669767067,
4.274672546779892,0.506928072962465},{24.024430476092892,
13.843130314827746,4.311542575726286,0.512664287028277},{
24.322901123698131,13.938228205581177,4.348665367591055,
0.518449933537306},{24.631006458958126,14.034476212891667,
4.386043942312380,0.524285352219018},{24.947842383313581,
14.133566333461264,4.424302227413089,0.530268052279225},{
25.270996534558169,14.232467569803379,4.462269952561297,
0.536214887057049},{25.600402310675729,14.330975064669545,
4.499865784968846,0.542112503476356},{25.936148140993652,
14.429098478934334,4.537090582375646,0.547960412315172},{
26.278342961331273,14.526847123997111,4.573945317983731,
0.553758163420801},{26.627081839098057,14.624230171354640,
4.610431074409271,0.559505344514097},{26.982479035852489,
14.721256475920658,4.646549038424966,0.565201580011704},{
27.344634819583604,14.817934767851131,4.682300495420807,
0.570846529867353},{27.713671593677677,14.914273470914237,
4.717686824578717,0.576439888432411},{28.089691272397957,
15.010280930582828,4.752709493736557,0.581981383336399},{
28.472824854307039,15.105965165341871,4.787370055045711,
0.587470774387750},{28.863193517870002,15.201334102546408,
4.821670140178958,0.592907852495206},{29.260918302887685,
15.296395505394935,4.855611456225897,0.598292438610054},{
29.666132958462629,15.391156926950673,4.889195781620369,
0.603624382689606},{30.078982460204806,15.485625755858862,
4.922424962124026,0.608903562681821},{30.499592721193313,
15.579809342711769,4.955300906990578,0.614129883531367},{
30.928117472544855,15.673714785982705,4.987825585602939,
0.619303276207172},{31.364710865969087,15.767349102050195,
5.020001023779209,0.624423696751405},{31.809515123102404,
15.860719254916436,5.051829300512150,0.629491125349948},{
32.262705236081672,15.953831979977263,5.083312544958544,
0.634505565424281},{32.724447907289544,16.046694000766831,
5.114452933148136,0.639467042744666},{33.194897132039792,
16.139312001629271,5.145252685204367,0.644375604564581},{
33.674255019897664,16.231692414917958,5.175714062698377,
0.649231318776222},{34.162693117856691,16.323841771582561,
5.205839365624563,0.654034273086982},{34.660408283882070,
16.415766446679168,5.235630930162420,0.658784574216433},{
35.167590811037854,16.507472809522142,5.265091126045004,
0.663482347114145},{35.684449944091867,16.598967127675568,
5.294222354303641,0.668127734197491},{36.211206269977197,
16.690255627599420,5.323027044937864,0.672720894609739},{
36.748056707258620,16.781344600488524,5.351507654715894,
0.677262003497751},{37.295248265383698,16.872240144915182,
5.379666665308135,0.681751251309287},{37.852995971145809,
16.962948488394094,5.407506580997999,0.686188843109573},{
38.421564488506611,17.053475690433864,5.435029927062224,
0.690574997916736},{39.001171266768537,17.143827988284571,
5.462239247649191,0.694909948055925},{39.592097221535276,
17.234011403696112,5.489137104365301,0.699193938531812},{
40.194606324023972,17.324032074846357,5.515726074258302,
0.703427226419012},{40.808938401803530,17.413896207928254,
5.542008748346981,0.707610080270340},{41.435436776864577,
17.503609730835098,5.567987730243535,0.711742779542350},{
42.074330693130328,17.593178988541467,5.593665634167064,
0.715825614037971},{42.725940101764373,17.682610023334441,
5.619045084134955,0.719858883365846},{43.390590488356239,
17.771908949085155,5.644128712167098,0.723842896416144},{
44.070645121622796,17.861077799265878,5.668919158926054,
0.727777970852333},{44.753184105407975,17.950153724907196,
5.693419053900836,0.731664432618789},{45.474373691042267,
18.039048771108984,5.717631098338662,0.735502615463705},{
46.193899163412112,18.127899243718634,5.741557851475661,
0.739292860480826},{46.996029946900421,18.216517946983732,
5.765202097955019,0.743035515642772},{47.975217272766379,
18.304869267108689,5.788566478022887,0.746730935410193},{
46.875088973944962,18.397435734790200,5.811651899684304,
0.750379480284763},{51.065991163454697,18.476818607729076,
5.834469443821195,0.753981516503356},{49.333461744266728,
18.573099243289850,5.857003438946910,0.757537415856357},{
50.827892820844589,18.659006028627026,5.879277141033153,
0.761047552504248},{51.658864029489543,18.747265541446783,
5.901281540617321,0.764512309584712},{52.507342163173028,
18.835468843734557,5.923021904004630,0.767932071140582},{
53.373793178351164,18.923622470147773,5.944500865847515,
0.771307225875759},{54.258789501497823,19.011732877688232,
5.965721054625218,0.774638165973891},{55.162916478482941,
19.099806756700104,5.986685091803454,0.777925286781048},{
56.087116564192172,19.187850477830338,6.007395591520163,
0.781168986499608},{57.032398932408853,19.275871118680147,
6.027855159614455,0.784369665893400},{58.000369060093050,
19.363875690575604,6.048066393969457,0.787527728003472},{
59.016634487394832,19.451836730736815,6.068031895995421,
0.790643577874778},{60.091857764934808,19.539739992232406,
6.087754256968488,0.793717622293261},{61.240245331030316,
19.627560573034796,6.107236083235058,0.796750269533514},{
62.480561298708686,19.723763384189539,6.128269590423300,
0.800019963066246},{61.700811904981713,19.825193831111250,
6.149405839679586,0.803300925851243},{67.613280255293020,
19.914643859675749,6.170653665148103,0.806593213984968},{
65.160632861084636,20.026986310421218,6.191997393361786,
0.809896884700018},{67.669033122940235,20.127441775170933,
6.213461939269268,0.813211994514738},{69.158974688263967,
20.233552143778557,6.235035431887980,0.816538605363333},{
70.723256826348845,20.341932263338009,6.256723667414029,
0.819876776933363},{72.367614994324157,20.452692130214967,
6.278529139019087,0.823226571210103},{74.098101167452896,
20.565950434907393,6.300454462542573,0.826588051543621},{
75.921523426230067,20.681834359896129,6.322502386312879,
0.829961282716883},{77.845391462064271,20.800480873586661,
6.344675800844324,0.833346331019091},{79.877973252120924,
20.922037773350514,6.366977749927341,0.836743264324587},{
82.028526688840202,21.046664524133615,6.389411442986359,
0.840152152177982},{84.307359657115470,21.174533750826306,
6.411980268436992,0.843573065886157},{86.726134004965445,
21.305832439883137,6.434687808816977,0.847006078617858},{
89.298052645255225,21.440763800191853,6.457537857418896,
0.850451265511744},{92.038364283034596,21.579548930296038,
6.480534437230531,0.853908703793904},{94.965026588148092,
21.722429035678608,6.503681822191650,0.857378472906041},{
98.099651271544445,21.869668254286683,6.526984561549138,
0.860860654645750},{101.469212866843510,22.021556781161863,
6.550447508473278,0.864355333320771},{105.108611392323670,
22.178415351638186,6.574075853974501,0.867862595919685},{
109.065005486134880,22.340601002668283,6.597875168817166,
0.871382532302410},{109.750042242080070,22.514375499939113,
6.621849368866829,0.874915235415403},{122.164468808740280,
22.670441678991452,6.646016608190354,0.878460801538834},{
120.492493879440720,22.868998811452705,6.670353260952902,
0.882019330576957},{127.651716860571530,23.050715346380404,
6.694905768119855,0.885590923061522},{133.417901827374580,
23.246144421955755,6.719657855196887,0.889175690895975},{
139.724332490425070,23.449952674292600,6.744624090533837,
0.892773744452224},{146.646067568266890,23.662885976357035,
6.769813936652642,0.896385200660068},{154.272084490525660,
23.885788232412818,6.795237725626818,0.900010181731173},{
162.708903919517890,24.119617882190067,6.820906777869384,
0.903648815653934},{172.084864641046120,24.365469173499047,
6.846833542039902,0.907301236757100},{182.556942338038600,
24.624596217120128,6.873031762800324,0.910967586354904},{
194.319534415060760,24.898444814009999,6.899516681255775,
0.914648013489756},{207.620595915041970,25.188686585937077,
6.926305281144004,0.918342675792510},{222.788620730249990,
25.497261589113076,6.953416591526287,0.922051740486512},{
240.287692571162920,25.826419168838576,6.980872074207111,
0.925775385569714},{256.799890482864780,26.185216782196846,
7.008693832401432,0.929513801223933},{286.851617485832720,
26.548780722767628,7.036921002156521,0.933267191524989},{
308.757481229623580,26.973589993440147,7.065557892145567,
0.937035776577968},{342.616615998311150,27.414357072890436,
7.094674470820509,0.940819791613239},{381.652936748389780,
27.901112273738025,7.124294167964932,0.944619499388744},{
429.420511597585570,28.436458075451569,7.154472608250879,
0.948435182728345},{488.956374804092890,29.029524488453990,
7.185270948459126,0.952267155471084},{564.913569104604680,
29.691719970341111,7.216763630423190,0.956115767213528},{
662.593654854627520,30.440873759588669,7.249041648619902,
0.959981411307655},{798.395259632387020,31.285522685311911,
7.282225938437964,0.963864535640684},{984.858707574925800,
32.266683177856073,7.316458408944520,0.967765657677109},{
1240.731677732101800,33.435525835453468,7.351939105152393,
0.971685384357021},{1599.976231716470900,34.896887003483748,
7.388921872674265,0.975624447015660},{2129.911398579198200,
36.824993793515745,7.427765289272872,0.979583747790001},{
2973.337742375393600,38.358182172438710,7.458590833881339,
0.982567188320956},{4392.068482735210600,40.182279884917335,
7.491259295582522,0.985563285803890},{6744.182542887068800,
43.093253924408778,7.527746112509292,0.988696515392235},{
10586.401080300620000,48.112109166481709,7.566030993328872,
0.991714705866086},{16414.657806854295000,54.433838984731196,
7.598161821734584,0.993988954446224},{25171.400376638227000,
60.516762902335024,7.622270849789598,0.995510777346757},{
39924.646532205254000,66.237216173833630,7.642602684084054,
0.996655475718842},{50014.862506044708000,78.880685852650700,
7.662052700016630,0.997650144001249},{94512.909959942233000,
91.545289401322989,7.683298623696445,0.998570741182521},{
85789.631197521958000,106.331709600833660,7.693152458218265,
0.998955116981272},{96484.149392753985000,110.551277570634270,
7.697526525177595,0.999109011318793},{155745.736499270020000,
114.483229466648910,7.704504194463604,0.999340021303733},{
187336.117221347780000,124.858748457008220,7.710990375742048,
0.999545993761771},{1561441.955568452100000,93.976965631416093,
7.718432905786972,0.999752147562480},{12254471.880229050000000,-14.883471920491438,
7.722448708901911,0.999855298039152},{-840729689.033797860000000,
5473.418677569786300,7.715971952179429,0.999906892844623}};
constant Real[Ninterval, 4] dltcoef={{-7.119202491756649e-001,-2.739402377062618e-001,
-1.927672596844717e+000,3.108234546713844e+000},{-7.187746754592991e-001,
-2.753459585506838e-001,-1.928038361308511e+000,3.106950869117843e+000},
{-7.267169555982382e-001,-2.765215049130652e-001,-1.928347041349235e+000,
3.105872508783626e+000},{-7.359380114100472e-001,-2.792612028934110e-001,
-1.929054601531175e+000,3.103417366473884e+000},{-7.451596984095644e-001,
-2.820546952208173e-001,-1.929773991238450e+000,3.100944868392513e+000},
{-7.543868380432980e-001,-2.849025526846495e-001,-1.930505474697466e+000,
3.098454883787075e+000},{-7.636195252102033e-001,-2.878055700919983e-001,
-1.931249367470398e+000,3.095947126307967e+000},{-7.728608352753940e-001,
-2.907644204639990e-001,-1.932005961304827e+000,3.093421411830454e+000},
{-7.821138534967362e-001,-2.937798575560094e-001,-1.932775569789591e+000,
3.090877503680519e+000},{-7.913807227613616e-001,-2.968525969010559e-001,
-1.933558497589903e+000,3.088315215846500e+000},{-8.006644142147472e-001,
-2.999834307075162e-001,-1.934355071871375e+000,3.085734309672668e+000},
{-8.099668105946853e-001,-3.031731138060267e-001,-1.935165610880807e+000,
3.083134597151535e+000},{-8.192918853252418e-001,-3.064225359625613e-001,
-1.935990472438392e+000,3.080515785796513e+000},{-8.286413378736912e-001,
-3.097325618705826e-001,-1.936830006147945e+000,3.077877633663473e+000},
{-8.380195338699306e-001,-3.131039924173268e-001,-1.937684552795189e+000,
3.075219949428117e+000},{-8.474270870580881e-001,-3.165378097414413e-001,
-1.938554494310329e+000,3.072542437056092e+000},{-8.568696991541474e-001,
-3.200348522413296e-001,-1.939440187491448e+000,3.069844902846438e+000},
{-8.663006219851039e-001,-3.235963509846717e-001,-1.940342031243627e+000,
3.067127048225000e+000},{-8.755969029666063e-001,-3.272238814054915e-001,
-1.941260416087275e+000,3.064388625095321e+000},{-8.847451895324255e-001,
-3.309187279025791e-001,-1.942195741563215e+000,3.061629384019479e+000},
{-8.937320642447604e-001,-3.346053531802966e-001,-1.943129242827890e+000,
3.058904739456490e+000},{-9.025917571346555e-001,-3.381523238866969e-001,
-1.944028228246023e+000,3.056307824467905e+000},{-9.114372727199264e-001,
-3.417348650176046e-001,-1.944936739647034e+000,3.053709701944858e+000},
{-9.202705051593279e-001,-3.453529129795982e-001,-1.945854872015144e+000,
3.051110359095721e+000},{-9.290943179147365e-001,-3.490064060917521e-001,
-1.946782720180552e+000,3.048509783002059e+000},{-9.379113035378066e-001,
-3.526952951802167e-001,-1.947720378827961e+000,3.045907960618840e+000},
{-9.467220586520030e-001,-3.564195514784557e-001,-1.948667942508438e+000,
3.043304878774594e+000},{-9.555308122884657e-001,-3.601791344616129e-001,
-1.949625505711145e+000,3.040700524171566e+000},{-9.643382215985582e-001,
-3.639740319079109e-001,-1.950593162835531e+000,3.038094883385813e+000},
{-9.731477743382022e-001,-3.678042249680064e-001,-1.951571008256408e+000,
3.035487942867281e+000},{-9.819604804460426e-001,-3.716697186165744e-001,
-1.952559136308239e+000,3.032879688939842e+000},{-9.907792924725812e-001,
-3.755705130003580e-001,-1.953557641352945e+000,3.030270107801308e+000},
{-9.996061903488108e-001,-3.795066236033756e-001,-1.954566617769396e+000,
3.027659185523410e+000},{-1.008442332217312e+000,-3.834780801466576e-001,
-1.955586159975327e+000,3.025046908051736e+000},{-1.017291187118612e+000,
-3.874849056387030e-001,-1.956616362486219e+000,3.022433261205659e+000},
{-1.026154224708753e+000,-3.915271430094308e-001,-1.957657319899389e+000,
3.019818230678225e+000},{-1.035032728246099e+000,-3.956048454200966e-001,
-1.958709126923303e+000,3.017201802035997e+000},{-1.043929801274928e+000,
-3.997180632397729e-001,-1.959771878421853e+000,3.014583960718895e+000},
{-1.052846917422804e+000,-4.038668640643446e-001,-1.960845669410642e+000,
3.011964692039990e+000},{-1.061785874617104e+000,-4.080513211658256e-001,
-1.961930595091244e+000,3.009343981185274e+000},{-1.070749281155416e+000,
-4.122715113299520e-001,-1.963026750875285e+000,3.006721813213400e+000},
{-1.079738284824320e+000,-4.165275287976867e-001,-1.964134232385564e+000,
3.004098173055395e+000},{-1.088755056537119e+000,-4.208194669364273e-001,
-1.965253135509263e+000,3.001473045514344e+000},{-1.097802354172137e+000,
-4.251474262252926e-001,-1.966383556395710e+000,2.998846415265045e+000},
{-1.106880826500578e+000,-4.295115260316672e-001,-1.967525591470941e+000,
2.996218266853638e+000},{-1.115992785290996e+000,-4.339118828275575e-001,
-1.968679337486387e+000,2.993588584697207e+000},{-1.125140601947682e+000,
-4.383486216067864e-001,-1.969844891518973e+000,2.990957353083350e+000},
{-1.134325959887290e+000,-4.428218781489602e-001,-1.971022350993147e+000,
2.988324556169727e+000},{-1.143550497239480e+000,-4.473317957093480e-001,
-1.972211813704686e+000,2.985690177983577e+000},{-1.152816353482765e+000,
-4.518785235407696e-001,-1.973413377839173e+000,2.983054202421210e+000},
{-1.162124575492226e+000,-4.564622237902882e-001,-1.974627141987564e+000,
2.980416613247473e+000},{-1.171478417504371e+000,-4.610830531229002e-001,
-1.975853205189499e+000,2.977777394095186e+000},{-1.180878493083438e+000,
-4.657411912857257e-001,-1.977091666913681e+000,2.975136528464554e+000},
{-1.190327393133407e+000,-4.704368136453667e-001,-1.978342627116694e+000,
2.972493999722552e+000},{-1.199826475242167e+000,-4.751701105286942e-001,
-1.979606186233481e+000,2.969849791102279e+000},{-1.209378307645038e+000,
-4.799412725128706e-001,-1.980882445220469e+000,2.967203885702293e+000},
{-1.218983781081318e+000,-4.847505072639017e-001,-1.982171505551098e+000,
2.964556266485916e+000},{-1.228645580953087e+000,-4.895980192041626e-001,
-1.983473469263982e+000,2.961906916280511e+000},{-1.238364766758997e+000,
-4.944840304122741e-001,-1.984788438951109e+000,2.959255817776730e+000},
{-1.248143707380005e+000,-4.994087621624195e-001,-1.986116517808350e+000,
2.956602953527749e+000},{-1.257984483464209e+000,-5.043724445474235e-001,
-1.987457809637882e+000,2.953948305948456e+000},{-1.267888763237574e+000,
-5.093753175730373e-001,-1.988812418869192e+000,2.951291857314631e+000},
{-1.277858155074884e+000,-5.144176299820401e-001,-1.990180450575876e+000,
2.948633589762087e+000},{-1.287894587132058e+000,-5.194996353591673e-001,
-1.991562010506334e+000,2.945973485285792e+000},{-1.297999978447886e+000,
-5.246215949107307e-001,-1.992957205097942e+000,2.943311525738964e+000},
{-1.308176257926076e+000,-5.297837777066512e-001,-1.994366141495533e+000,
2.940647692832132e+000},{-1.318425322007352e+000,-5.349864596992644e-001,
-1.995788927575479e+000,2.937981968132178e+000},{-1.328749277117991e+000,
-5.402299243599632e-001,-1.997225671960814e+000,2.935314333061348e+000},
{-1.339149199599445e+000,-5.455144676665747e-001,-1.998676484040282e+000,
2.932644768896240e+000},{-1.349628368224229e+000,-5.508403810419320e-001,
-2.000141474006426e+000,2.929973256766762e+000},{-1.360187219274824e+000,
-5.562079806971391e-001,-2.001620752838174e+000,2.927299777655058e+000},
{-1.370828781127042e+000,-5.616175744949384e-001,-2.003114432369282e+000,
2.924624312394423e+000},{-1.381554684130381e+000,-5.670694862446681e-001,
-2.004622625272832e+000,2.921946841668168e+000},{-1.392367149953658e+000,
-5.725640441787859e-001,-2.006145445098469e+000,2.919267346008476e+000},
{-1.403267693522663e+000,-5.781015902025207e-001,-2.007683006276334e+000,
2.916585805795218e+000},{-1.414258411895148e+000,-5.836824691160817e-001,
-2.009235424161747e+000,2.913902201254752e+000},{-1.425341560697221e+000,
-5.893070331970658e-001,-2.010802815044349e+000,2.911216512458685e+000},
{-1.436518650340928e+000,-5.949756469199823e-001,-2.012385296164895e+000,
2.908528719322610e+000},{-1.447792531093776e+000,-6.006886752803999e-001,
-2.013982985751103e+000,2.905838801604813e+000},{-1.459164304671427e+000,
-6.064465023213990e-001,-2.015596003013732e+000,2.903146738904952e+000},
{-1.470637134656586e+000,-6.122495073552353e-001,-2.017224468204838e+000,
2.900452510662714e+000},{-1.482211863834624e+000,-6.180980925227824e-001,
-2.018868502597047e+000,2.897756096156425e+000},{-1.493891852120214e+000,
-6.239926530648990e-001,-2.020528228550773e+000,2.895057474501652e+000},
{-1.505678096610527e+000,-6.299336067257686e-001,-2.022203769494007e+000,
2.892356624649756e+000},{-1.517574031346761e+000,-6.359213660358718e-001,
-2.023895249984035e+000,2.889653525386434e+000},{-1.529580796468173e+000,
-6.419563650573666e-001,-2.025602795693617e+000,2.886948155330209e+000},
{-1.541701356804014e+000,-6.480390354850254e-001,-2.027326533467826e+000,
2.884240492930909e+000},{-1.553937356952073e+000,-6.541698276740846e-001,
-2.029066591313422e+000,2.881530516468101e+000},{-1.566290954997507e+000,
-6.603491961874959e-001,-2.030823098450255e+000,2.878818204049505e+000},
{-1.578765461793385e+000,-6.665775985380139e-001,-2.032596185332172e+000,
2.876103533609368e+000},{-1.591361479469684e+000,-6.728555174296306e-001,
-2.034385983640837e+000,2.873386482906806e+000},{-1.604083053178186e+000,
-6.791834242424827e-001,-2.036192626363599e+000,2.870667029524126e+000},
{-1.616931466226678e+000,-6.855618163240326e-001,-2.038016247762119e+000,
2.867945150865093e+000},{-1.629909893369509e+000,-6.919911893411197e-001,
-2.039856983439587e+000,2.865220824153184e+000},{-1.643020022349849e+000,
-6.984720579442955e-001,-2.041714970334005e+000,2.862494026429801e+000},
{-1.656264551293298e+000,-7.050049397229221e-001,-2.043590346770784e+000,
2.859764734552450e+000},{-1.669646268624311e+000,-7.115903625664921e-001,
-2.045483252474063e+000,2.857032925192886e+000},{-1.683167576151129e+000,
-7.182288656970074e-001,-2.047393828594889e+000,2.854298574835218e+000},
{-1.696831423652399e+000,-7.249209956676710e-001,-2.049322217741730e+000,
2.851561659773992e+000},{-1.710639128268257e+000,-7.316673198056414e-001,
-2.051268563987778e+000,2.848822156112223e+000},{-1.724594742236566e+000,
-7.384683987028911e-001,-2.053233012939716e+000,2.846080039759406e+000},
{-1.738700069789140e+000,-7.453248180187038e-001,-2.055215711717725e+000,
2.843335286429471e+000},{-1.752958138408101e+000,-7.522371655871375e-001,
-2.057216809020459e+000,2.840587871638726e+000},{-1.767371569680276e+000,
-7.592060430135096e-001,-2.059236455133438e+000,2.837837770703736e+000},
{-1.781943384385722e+000,-7.662320613766317e-001,-2.061274801963785e+000,
2.835084958739185e+000},{-1.796676013498676e+000,-7.733158456018825e-001,
-2.063332003066546e+000,2.832329410655683e+000},{-1.811572772917376e+000,
-7.804580273271474e-001,-2.065408213682221e+000,2.829571101157551e+000},
{-1.826636048726881e+000,-7.876592550863618e-001,-2.067503590753522e+000,
2.826810004740544e+000},{-1.841869688783150e+000,-7.949201807533446e-001,
-2.069618292975332e+000,2.824046095689560e+000},{-1.857275569898410e+000,
-8.022414792244761e-001,-2.071752480798810e+000,2.821279348076279e+000},
{-1.872858144207920e+000,-8.096238224870805e-001,-2.073906316498295e+000,
2.818509735756786e+000},{-1.888619059956391e+000,-8.170679126024469e-001,
-2.076079964156223e+000,2.815737232369135e+000},{-1.904561956423886e+000,
-8.245744503054575e-001,-2.078273589745324e+000,2.812961811330880e+000},
{-1.920690668385609e+000,-8.321441499275529e-001,-2.080487361132164e+000,
2.810183445836552e+000},{-1.937007416473138e+000,-8.397777468295377e-001,
-2.082721448109063e+000,2.807402108855102e+000},{-1.953516633870803e+000,
-8.474759771845204e-001,-2.084976022451227e+000,2.804617773127296e+000},
{-1.970220662325402e+000,-8.552396029642130e-001,-2.087251257918434e+000,
2.801830411163055e+000},{-1.987123236442702e+000,-8.630693899925094e-001,
-2.089547330324482e+000,2.799039995238766e+000},{-2.004228350601878e+000,
-8.709661185707598e-001,-2.091864417548962e+000,2.796246497394527e+000},
{-2.021538725971305e+000,-8.789305897778639e-001,-2.094202699573659e+000,
2.793449889431357e+000},{-2.039058367884046e+000,-8.869636101217421e-001,
-2.096562358541322e+000,2.790650142908356e+000},{-2.056791020141507e+000,
-8.950660040405472e-001,-2.098943578769776e+000,2.787847229139806e+000},
{-2.074740298046955e+000,-9.032386105028429e-001,-2.101346546799721e+000,
2.785041119192230e+000},{-2.092910200608639e+000,-9.114822800669383e-001,
-2.103771451439775e+000,2.782231783881398e+000},{-2.111304179015425e+000,
-9.197978847153946e-001,-2.106218483783340e+000,2.779419193769277e+000},
{-2.129926301106460e+000,-9.281863059214009e-001,-2.108687837277904e+000,
2.776603319160936e+000},{-2.148780529001271e+000,-9.366484426859110e-001,
-2.111179707746509e+000,2.773784130101387e+000},{-2.167870835137651e+000,
-9.451852095934209e-001,-2.113694293436472e+000,2.770961596372379e+000},
{-2.187201600827261e+000,-9.537975352704542e-001,-2.116231795062518e+000,
2.768135687489128e+000},{-2.206776744200663e+000,-9.624863678682748e-001,
-2.118792415842629e+000,2.765306372697000e+000},{-2.226600913877821e+000,
-9.712526682985949e-001,-2.121376361551813e+000,2.762473620968124e+000},
{-2.246678099895653e+000,-9.800974184540910e-001,-2.123983840556277e+000,
2.759637400997960e+000},{-2.267012600006316e+000,-9.890216163020363e-001,
-2.126615063865472e+000,2.756797681201793e+000},{-2.287609020074218e+000,
-9.980262753763182e-001,-2.129270245181486e+000,2.753954429711178e+000},
{-2.308472981636114e+000,-1.007112421979191e+000,-2.131949600945738e+000,
2.751107614370312e+000},{-2.329607982655612e+000,-1.016281113082512e+000,
-2.134653350367198e+000,2.748257202732345e+000},{-2.351019199384163e+000,
-1.025533415332722e+000,-2.137381715498646e+000,2.745403162055640e+000},
{-2.372711351753493e+000,-1.034870417426487e+000,-2.140134921268429e+000,
2.742545459299940e+000},{-2.394689420941603e+000,-1.044293225304602e+000,
-2.142913195543392e+000,2.739684061122500e+000},{-2.416958489696154e+000,
-1.053802964837059e+000,-2.145716769171991e+000,2.736818933874121e+000},
{-2.439523927931083e+000,-1.063400781249023e+000,-2.148545876038628e+000,
2.733950043595136e+000},{-2.462390547826898e+000,-1.073087842531493e+000,
-2.151400753117987e+000,2.731077356011314e+000},{-2.485563955690444e+000,
-1.082865334488783e+000,-2.154281640529923e+000,2.728200836529693e+000},
{-2.509049754370408e+000,-1.092734464087250e+000,-2.157188781596602e+000,
2.725320450234344e+000},{-2.532853214807481e+000,-1.102696462282614e+000,
-2.160122422893467e+000,2.722436161882056e+000},{-2.556980090750864e+000,
-1.112752579055204e+000,-2.163082814316411e+000,2.719547935897943e+000},
{-2.581436437132852e+000,-1.122904087457842e+000,-2.166070209130614e+000,
2.716655736370978e+000},{-2.606227654816659e+000,-1.133152285306878e+000,
-2.169084864037961e+000,2.713759527049444e+000},{-2.631360439576148e+000,
-1.143498488007834e+000,-2.172127039239977e+000,2.710859271336302e+000},
{-2.656840304856598e+000,-1.153944042779445e+000,-2.175196998484420e+000,
2.707954932284481e+000},{-2.682673341601513e+000,-1.164490316871617e+000,
-2.178295009149678e+000,2.705046472592083e+000},{-2.708866825204242e+000,
-1.175138696975488e+000,-2.181421342304900e+000,2.702133854597497e+000},
{-2.735426422726402e+000,-1.185890604592462e+000,-2.184576272760956e+000,
2.699217040274428e+000},{-2.762359314107140e+000,-1.196747478763960e+000,
-2.187760079160614e+000,2.696295991226843e+000},{-2.789671673506554e+000,
-1.207710791213431e+000,-2.190973044027281e+000,2.693370668683814e+000},
{-2.817371158194170e+000,-1.218782032275562e+000,-2.194215453856300e+000,
2.690441033494273e+000},{-2.845464441688514e+000,-1.229962726999865e+000,
-2.197487599162562e+000,2.687507046121677e+000},{-2.873958455587959e+000,
-1.241254426116775e+000,-2.200789774573439e+000,2.684568666638566e+000},
{-2.902860980914899e+000,-1.252658706018288e+000,-2.204122278897234e+000,
2.681625854721035e+000},{-2.932179792788460e+000,-1.264177171262446e+000,
-2.207485415203479e+000,2.678678569643088e+000},{-2.961921972458911e+000,
-1.275811461710634e+000,-2.210879490886982e+000,2.675726770270900e+000},
{-2.992095784809014e+000,-1.287563242185971e+000,-2.214304817763162e+000,
2.672770415056979e+000},{-3.022708807675713e+000,-1.299434212241244e+000,
-2.217761712139564e+000,2.669809462034204e+000},{-3.053769494827838e+000,
-1.311426099021429e+000,-2.221250494908468e+000,2.666843868809768e+000},
{-3.085286256712582e+000,-1.323540662532576e+000,-2.224771491625306e+000,
2.663873592558999e+000},{-3.117267156964171e+000,-1.335779699224753e+000,
-2.228325032589873e+000,2.660898590019072e+000},{-3.149721717942327e+000,
-1.348145031420924e+000,-2.231911452951636e+000,2.657918817482606e+000},
{-3.182657768442030e+000,-1.360638526376643e+000,-2.235531092775834e+000,
2.654934230791132e+000},{-3.216085761856677e+000,-1.373262071886569e+000,
-2.239184297168944e+000,2.651944785328451e+000},{-3.250013826855947e+000,
-1.386017607184507e+000,-2.242871416329658e+000,2.648950436013852e+000},
{-3.284451500134391e+000,-1.398907099420707e+000,-2.246592805684378e+000,
2.645951137295225e+000},{-3.319409250572173e+000,-1.411932549809613e+000,
-2.250348825973040e+000,2.642946843142023e+000},{-3.354896753611417e+000,
-1.425096003296100e+000,-2.254139843338936e+000,2.639937507038096e+000},
{-3.390924039417435e+000,-1.438399542162570e+000,-2.257966229444829e+000,
2.636923081974400e+000},{-3.427501254566009e+000,-1.451845290352722e+000,
-2.261828361566645e+000,2.633903520441551e+000},{-3.464639359689941e+000,
-1.465435408601526e+000,-2.265726622713691e+000,2.630878774422248e+000},
{-3.502349053636324e+000,-1.479172101786477e+000,-2.269661401730241e+000,
2.627848795383550e+000},{-3.540641220590683e+000,-1.493057617817210e+000,
-2.273633093408675e+000,2.624813534268998e+000},{-3.579527769324496e+000,
-1.507094243675857e+000,-2.277642098611021e+000,2.621772941490594e+000},
{-3.619019405104672e+000,-1.521284319088120e+000,-2.281688824370349e+000,
2.618726966920613e+000},{-3.659128845786773e+000,-1.535630218848213e+000,
-2.285773684035279e+000,2.615675559883270e+000},{-3.699868104366120e+000,
-1.550134370620169e+000,-2.289897097369691e+000,2.612618669146215e+000},
{-3.741248903588338e+000,-1.564799252976718e+000,-2.294059490683182e+000,
2.609556242911866e+000},{-3.783284874324993e+000,-1.579627382536116e+000,
-2.298261296982422e+000,2.606488228808574e+000},{-3.825988545927405e+000,
-1.594621335053040e+000,-2.302502956067142e+000,2.603414573881602e+000},
{-3.869373496014526e+000,-1.609783731499074e+000,-2.306784914694967e+000,
2.600335224583944e+000},{-3.913453221956383e+000,-1.625117249152555e+000,
-2.311107626695294e+000,2.597250126766952e+000},{-3.958241447222634e+000,
-1.640624618733666e+000,-2.315471553123667e+000,2.594159225670774e+000},
{-4.003752472151792e+000,-1.656308622508239e+000,-2.319877162411532e+000,
2.591062465914611e+000},{-4.050001634221138e+000,-1.672172096388015e+000,
-2.324324930505149e+000,2.587959791486772e+000},{-4.097002876636228e+000,
-1.688217943259190e+000,-2.328815341006177e+000,2.584851145734526e+000},
{-4.144772509543070e+000,-1.704449112223655e+000,-2.333348885357084e+000,
2.581736471353761e+000},{-4.193325486276812e+000,-1.720868623261894e+000,
-2.337926062964376e+000,2.578615710378421e+000},{-4.242678130201291e+000,
-1.737479551563644e+000,-2.342547381387367e+000,2.575488804169740e+000},
{-4.292847565917512e+000,-1.754285033725772e+000,-2.347213356495573e+000,
2.572355693405246e+000},{-4.343849344050583e+000,-1.771288281606365e+000,
-2.351924512625498e+000,2.569216318067544e+000},{-4.395701890165288e+000,
-1.788492558606178e+000,-2.356681382789128e+000,2.566070617432879e+000},
{-4.448422980721418e+000,-1.805901202887346e+000,-2.361484508818656e+000,
2.562918530059439e+000},{-4.502030354716064e+000,-1.823517623449364e+000,
-2.366334441565460e+000,2.559759993775440e+000},{-4.556542840854151e+000,
-1.841345298947618e+000,-2.371231741081224e+000,2.556594945666951e+000},
{-4.611979475168832e+000,-1.859387780568530e+000,-2.376176976819913e+000,
2.553423322065466e+000},{-4.668359753577363e+000,-1.877648695147924e+000,
-2.381170727826738e+000,2.550245058535221e+000},{-4.725704074969167e+000,
-1.896131743036145e+000,-2.386213582948206e+000,2.547060089860238e+000},
{-4.784032727943202e+000,-1.914840707513675e+000,-2.391306141027599e+000,
2.543868350031094e+000},{-4.843367240144604e+000,-1.933779447928860e+000,
-2.396449011131275e+000,2.540669772231420e+000},{-4.903729030960412e+000,
-1.952951909731893e+000,-2.401642812755355e+000,2.537464288824098e+000},
{-4.965140432874901e+000,-1.972362121662210e+000,-2.406888176055385e+000,
2.534251831337176e+000},{-5.027623797901383e+000,-1.992014202447187e+000,
-2.412185742069771e+000,2.531032330449472e+000},{-5.091203355130014e+000,
-2.011912351777201e+000,-2.417536162974205e+000,2.527805715975873e+000},
{-5.155903044122922e+000,-2.032060866670441e+000,-2.422940102297541e+000,
2.524571916852306e+000},{-5.221747451923521e+000,-2.052464137830248e+000,
-2.428398235181793e+000,2.521330861120394e+000},{-5.288761616135504e+000,
-2.073126654030853e+000,-2.433911248632754e+000,2.518082475911771e+000},
{-5.356971788598320e+000,-2.094052999648703e+000,-2.439479841788043e+000,
2.514826687432050e+000},{-5.426404613215012e+000,-2.115247861646304e+000,
-2.445104726181699e+000,2.511563420944447e+000},{-5.497087522474739e+000,
-2.136716031186819e+000,-2.450786626016956e+000,2.508292600753025e+000},
{-5.569049288882915e+000,-2.158462403870986e+000,-2.456526278452476e+000,
2.505014150185588e+000},{-5.642317740633977e+000,-2.180491994108471e+000,
-2.462324433881294e+000,2.501727991576171e+000},{-5.716923840072115e+000,
-2.202809915912630e+000,-2.468181856254582e+000,2.498434046247153e+000},
{-5.792897745374091e+000,-2.225421410091371e+000,-2.474099323354432e+000,
2.495132234490956e+000},{-5.870270221041334e+000,-2.248331836268295e+000,
-2.480077627130501e+000,2.491822475551335e+000},{-5.949074871981971e+000,
-2.271546665967843e+000,-2.486117574029875e+000,2.488504687604241e+000},
{-6.029343786707989e+000,-2.295071511647872e+000,-2.492219985295749e+000,
2.485178787738241e+000},{-6.111112084568413e+000,-2.318912101810149e+000,
-2.498385697352468e+000,2.481844691934497e+000},{-6.194414527198641e+000,
-2.343074305694364e+000,-2.504615562124872e+000,2.478502315046275e+000},
{-6.279286904596403e+000,-2.367564130914826e+000,-2.510910447403784e+000,
2.475151570777977e+000},{-6.365767209259786e+000,-2.392387718285614e+000,
-2.517271237235579e+000,2.471792371663692e+000},{-6.453892994198572e+000,
-2.417551362201253e+000,-2.523698832280891e+000,2.468424629045237e+000},
{-6.543704169328149e+000,-2.443061498363987e+000,-2.530194150230223e+000,
2.465048253049680e+000},{-6.635241010728419e+000,-2.468924721455782e+000,
-2.536758126185958e+000,2.461663152566336e+000},{-6.728545843224950e+000,
-2.495147778765465e+000,-2.543391713097591e+000,2.458269235223206e+000},
{-6.823660845563034e+000,-2.521737588158918e+000,-2.550095882171187e+000,
2.454866407362863e+000},{-6.920630794798460e+000,-2.548701226486825e+000,
-2.556871623333734e+000,2.451454574017748e+000},{-7.019501381475465e+000,
-2.576045946160612e+000,-2.563719945667194e+000,2.448033638884867e+000},
{-7.120319480255796e+000,-2.603779178381579e+000,-2.570641877882507e+000,
2.444603504299888e+000},{-7.223133969609193e+000,-2.631908532839725e+000,
-2.577638468809950e+000,2.441164071210579e+000},{-7.327994580174460e+000,
-2.660441811671938e+000,-2.584710787882002e+000,2.437715239149616e+000},
{-7.434952494647915e+000,-2.689387012530814e+000,-2.591859925646200e+000,
2.434256906206702e+000},{-7.544061135790023e+000,-2.718752328646964e+000,
-2.599086994305352e+000,2.430788968999999e+000},{-7.655375515661243e+000,
-2.748546159812257e+000,-2.606393128252138e+000,2.427311322646844e+000},
{-7.768951708993694e+000,-2.778777123466263e+000,-2.613779484621389e+000,
2.423823860733729e+000},{-7.884848282627553e+000,-2.809454050978603e+000,
-2.621247243887760e+000,2.420326475285515e+000},{-8.003125847080343e+000,
-2.840586000686433e+000,-2.628797610445466e+000,2.416819056733866e+000},
{-8.123845717615904e+000,-2.872182270696010e+000,-2.636431813223878e+000,
2.413301493884877e+000},{-8.247072986653183e+000,-2.904252390209657e+000,
-2.644151106340080e+000,2.409773673885860e+000},{-8.372873324207069e+000,
-2.936806146623549e+000,-2.651956769727907e+000,2.406235482191265e+000},
{-8.501315321522739e+000,-2.969853579297517e+000,-2.659850109837497e+000,
2.402686802527732e+000},{-8.632470179999418e+000,-3.003404992656809e+000,
-2.667832460322147e+000,2.399127516858195e+000},{-8.766410786955008e+000,
-3.037470967875636e+000,-2.675905182763388e+000,2.395557505345058e+000},
{-8.903213411118998e+000,-3.072062364995864e+000,-2.684069667421548e+000,
2.391976646312385e+000},{-9.042955255058262e+000,-3.107190347094537e+000,
-2.692327333987842e+000,2.388384816207067e+000},{-9.185717838632552e+000,
-3.142866369671718e+000,-2.700679632411345e+000,2.384781889558960e+000},
{-9.331585097693958e+000,-3.179102204446007e+000,-2.709128043701907e+000,
2.381167738939921e+000},{-9.480643607373500e+000,-3.215909949936703e+000,
-2.717674080783783e+000,2.377542234921738e+000},{-9.632982569905030e+000,
-3.253302040635393e+000,-2.726319289385702e+000,2.373905246032896e+000},
{-9.788696395803125e+000,-3.291291246777491e+000,-2.735065248964523e+000,
2.370256638714140e+000},{-9.947880046656847e+000,-3.329890716053707e+000,
-2.743913573608185e+000,2.366596277272798e+000},{-1.011063370599249e+001,
-3.369113955782007e+000,-2.752865913065797e+000,2.362924023835830e+000},
{-1.027706158128749e+001,-3.408974858849373e+000,-2.761923953732860e+000,
2.359239738301529e+000},{-1.044726980264801e+001,-3.449487728026834e+000,
-2.771089419696060e+000,2.355543278289857e+000},{-1.062137120153357e+001,
-3.490667263098932e+000,-2.780364073859961e+000,2.351834499091345e+000},
{-1.079948025851573e+001,-3.532528610310817e+000,-2.789749719020175e+000,
2.348113253614504e+000},{-1.098171707046586e+001,-3.575087353790894e+000,
-2.799248199077059e+000,2.344379392331725e+000},{-1.116820588443619e+001,
-3.618359541657062e+000,-2.808861400235142e+000,2.340632763223555e+000},
{-1.135907707782098e+001,-3.662361694756724e+000,-2.818591252274326e+000,
2.336873211721342e+000},{-1.155446370525415e+001,-3.707110846632381e+000,
-2.828439729829784e+000,2.333100580648148e+000},{-1.175450638810228e+001,
-3.752624533595280e+000,-2.838408853794547e+000,2.329314710157896e+000},
{-1.195935053540618e+001,-3.798920836053745e+000,-2.848500692695762e+000,
2.325515437672646e+000},{-1.216914587843163e+001,-3.846018400646425e+000,
-2.858717364169532e+000,2.321702597817966e+000},{-1.238405202330118e+001,
-3.893936434232603e+000,-2.869061036519223e+000,2.317876022356294e+000},
{-1.260423031369346e+001,-3.942694775750631e+000,-2.879533930237916e+000,
2.314035540118215e+000},{-1.282985291483982e+001,-3.992313868676216e+000,
-2.890138319734129e+000,2.310180976931594e+000},{-1.306109620929062e+001,
-4.042814830660411e+000,-2.900876534982684e+000,2.306312155548434e+000},
{-1.329814643430201e+001,-4.094219444695344e+000,-2.911750963375111e+000,
2.302428895569415e+000},{-1.354119627426263e+001,-4.146550213873349e+000,
-2.922764051537747e+000,2.298531013365968e+000},{-1.379044740846033e+001,
-4.199830379609585e+000,-2.933918307290487e+000,2.294618321999826e+000},
{-1.404610889345345e+001,-4.254083961469080e+000,-2.945216301668451e+000,
2.290690631139917e+000},{-1.430840142757132e+001,-4.309335770863983e+000,
-2.956660671054686e+000,2.286747746976495e+000},{-1.457755349316863e+001,
-4.365611471997627e+000,-2.968254119347887e+000,2.282789472132388e+000},
{-1.485380456670902e+001,-4.422937601107329e+000,-2.979999420291443e+000,
2.278815605571237e+000},{-1.513740534264527e+001,-4.481341609033519e+000,
-2.991899419865233e+000,2.274825942502599e+000},{-1.542861733910674e+001,
-4.540851908926687e+000,-3.003957038785516e+000,2.270820274283760e+000},
{-1.572771438306834e+001,-4.601497912391182e+000,-3.016175275142619e+000,
2.266798388318140e+000},{-1.603498363566405e+001,-4.663310074910363e+000,
-3.028557207138266e+000,2.262760067950089e+000},{-1.635072484269092e+001,
-4.726319953306938e+000,-3.041105995942990e+000,2.258705092355959e+000},
{-1.667525327132274e+001,-4.790560243365801e+000,-3.053824888716676e+000,
2.254633236431245e+000},{-1.700889813746121e+001,-4.856064846889706e+000,
-3.066717221736760e+000,2.250544270673617e+000},{-1.735200585595545e+001,
-4.922868920071202e+000,-3.079786423691872e+000,2.246437961061666e+000},
{-1.770493843523546e+001,-4.991008942657080e+000,-3.093036019134606e+000,
2.242314068929141e+000},{-1.806807798479443e+001,-5.060522765468733e+000,
-3.106469632112602e+000,2.238172350834463e+000},{-1.844182350134685e+001,
-5.131449703543621e+000,-3.120090989928735e+000,2.234012558425291e+000},
{-1.882659593895549e+001,-5.203830582698908e+000,-3.133903927164026e+000,
2.229834438297898e+000},{-1.922283720003022e+001,-5.277707832656685e+000,
-3.147912389827138e+000,2.225637731851087e+000},{-1.963101137194863e+001,
-5.353125565238721e+000,-3.162120439758187e+000,2.221422175134389e+000},
{-2.005160793417239e+001,-5.430129651245946e+000,-3.176532259252670e+000,
2.217187498690242e+000},{-2.048514159347870e+001,-5.508767821782203e+000,
-3.191152155899943e+000,2.212933427389840e+000},{-2.093215458382820e+001,
-5.589089761522009e+000,-3.205984567694959e+000,2.208659680262342e+000},
{-2.139321785013910e+001,-5.671147213614056e+000,-3.221034068411279e+000,
2.204365970317081e+000},{-2.186893386429054e+001,-5.754994082273456e+000,
-3.236305373268270e+000,2.200052004358388e+000},{-2.235993893520058e+001,
-5.840686550619682e+000,-3.251803344885138e+000,2.195717482792680e+000},
{-2.286690183868918e+001,-5.928283224318049e+000,-3.267532999536663e+000,
2.191362099427353e+000},{-2.339053129045003e+001,-6.017845229047717e+000,
-3.283499513835679e+000,2.186985541261074e+000},{-2.393157553110568e+001,
-6.109436372639191e+000,-3.299708231679054e+000,2.182587488264950e+000},
{-2.449082365362512e+001,-6.203123298466807e+000,-3.316164671630298e+000,
2.178167613154133e+000},{-2.506911261829099e+001,-6.298975620761307e+000,
-3.332874534743562e+000,2.173725581149273e+000},{-2.566732526965500e+001,
-6.397066125615121e+000,-3.349843712746693e+000,2.169261049727270e+000},
{-2.628639811323098e+001,-6.497470921823482e+000,-3.367078296797307e+000,
2.164773668360732e+000},{-2.692732173142186e+001,-6.600269655973709e+000,
-3.384584586646084e+000,2.160263078245440e+000},{-2.759114524502430e+001,
-6.705545710843315e+000,-3.402369100397087e+000,2.155728912015202e+000},
{-2.827898248761451e+001,-6.813386415478488e+000,-3.420438584828478e+000,
2.151170793443279e+000},{-2.899201259869876e+001,-6.923883300413103e+000,
-3.438800026289747e+000,2.146588337129650e+000},{-2.973148847503503e+001,
-7.037132326714247e+000,-3.457460662309122e+000,2.141981148173250e+000},
{-3.049873840109150e+001,-7.153234177647235e+000,-3.476427993824973e+000,
2.137348821828268e+000},{-3.129517493940490e+001,-7.272294522510483e+000,
-3.495709798247626e+000,2.132690943143583e+000},{-3.212229765000851e+001,
-7.394424343175200e+000,-3.515314143246334e+000,2.128007086584252e+000},
{-3.298170177292683e+001,-7.519740249452365e+000,-3.535249401439987e+000,
2.123296815633989e+000},{-3.387508454061701e+001,-7.648364836976240e+000,
-3.555524265971750e+000,2.118559682377430e+000},{-3.480425051048727e+001,
-7.780427073933807e+000,-3.576147767071773e+000,2.113795227060935e+000},
{-3.577112387256164e+001,-7.916062682686504e+000,-3.597129289704889e+000,
2.109002977630553e+000},{-3.677775248212046e+001,-8.055414602783463e+000,
-3.618478592274180e+000,2.104182449245703e+000},{-3.782632044661916e+001,
-8.198633436873966e+000,-3.640205826613887e+000,2.099333143767018e+000},
{-3.891915659162862e+001,-8.345877962293837e+000,-3.662321559229458e+000,
2.094454549216663e+000},{-4.005874745570689e+001,-8.497315658007004e+000,
-3.684836793965542e+000,2.089546139209324e+000},{-4.124774609923581e+001,
-8.653123302578791e+000,-3.707762996136288e+000,2.084607372351954e+000},
{-4.248898846355697e+001,-8.813487578187926e+000,-3.731112118317829e+000,
2.079637691610172e+000},{-4.378550526414175e+001,-8.978605753438103e+000,
-3.754896627843079e+000,2.074636523639093e+000},{-4.514053901757636e+001,
-9.148686395755780e+000,-3.779129536196960e+000,2.069603278076170e+000},
{-4.655756027868422e+001,-9.323950155855000e+000,-3.803824430401465e+000,
2.064537346793447e+000},{-4.804028430092423e+001,-9.504630615340995e+000,
-3.828995506585277e+000,2.059438103106440e+000},{-4.959269431334278e+001,
-9.690975174726935e+000,-3.854657605931726e+000,2.054304900936606e+000},
{-5.121906225977325e+001,-9.883246042911827e+000,-3.880826253119925e+000,
2.049137073924143e+000},{-5.292396969033102e+001,-1.008172131188975e+001,
-3.907517697516740e+000,2.043933934487611e+000},{-5.471233926943821e+001,
-1.028669607165458e+001,-3.934748957389588e+000,2.038694772826543e+000},
{-5.658946080723199e+001,-1.049848367280677e+001,-3.962537867252546e+000,
2.033418855862916e+000},{-5.856102198737246e+001,-1.071741707506913e+001,
-3.990903128739948e+000,2.028105426117049e+000},{-6.063314629294836e+001,
-1.094385028946904e+001,-4.019864365275073e+000,2.022753700513037e+000},
{-6.281242946118387e+001,-1.117815997880301e+001,-4.049442180792742e+000,
2.017362869108480e+000},{-6.510598207265966e+001,-1.142074718300361e+001,
-4.079658222944135e+000,2.011932093742810e+000},{-6.752147690312931e+001,
-1.167203919014480e+001,-4.110535251172350e+000,2.006460506597967e+000},
{-7.006720223331806e+001,-1.193249157665400e+001,-4.142097210058299e+000,
2.000947208664683e+000},{-7.275211711338568e+001,-1.220259045397827e+001,
-4.174369308405988e+000,1.995391268106987e+000},{-7.558591731733223e+001,
-1.248285489197702e+001,-4.207378104671925e+000,1.989791718516892e+000},
{-7.857910654055216e+001,-1.277383958744936e+001,-4.241151599238290e+000,
1.984147557050459e+000},{-8.174307486950895e+001,-1.307613778749139e+001,
-4.275719334227814e+000,1.978457742435633e+000},{-8.509018865469528e+001,
-1.339038448212000e+001,-4.311112501590751e+000,1.972721192841308e+000},
{-8.863388899758650e+001,-1.371725992427822e+001,-4.347364060230715e+000,
1.966936783596048e+000},{-9.238880450061555e+001,-1.405749348404934e+001,
-4.384508863125920e+000,1.961103344743806e+000},{-9.638803576032707e+001,
-1.441179912568236e+001,-4.422583856657013e+000,1.955219658422624e+000},
{-1.006355886419617e+002,-1.478104683078891e+001,-4.461628093181375e+000,
1.949284456050977e+000},{-1.051313454597849e+002,-1.516621147525332e+001,
-4.501682994351671e+000,1.943296415304725e+000},{-1.098726320850258e+002,
-1.557562130758561e+001,-4.543476494807336e+000,1.937154374999355e+000},
{-1.148328382566474e+002,-1.599730363449987e+001,-4.585776601560153e+000,
1.931045251398180e+000},{-1.200188108246691e+002,-1.643068297329990e+001,
-4.628499471591676e+000,1.924981823573037e+000},{-1.254402600577610e+002,
-1.687609306545174e+001,-4.671650064463239e+000,1.918963711773316e+000},
{-1.311072854774274e+002,-1.733387495899903e+001,-4.715233405571223e+000,
1.912990539037578e+000},{-1.370304007377400e+002,-1.780437708974399e+001,
-4.759254580973940e+000,1.907061931185782e+000},{-1.432205478371830e+002,
-1.828795544632071e+001,-4.803718732234705e+000,1.901177516818668e+000},
{-1.496891184999602e+002,-1.878497370717625e+001,-4.848631051484921e+000,
1.895336927323218e+000},{-1.564479780964446e+002,-1.929580338699566e+001,
-4.893996776657341e+000,1.889539796883510e+000},{-1.635094896114932e+002,
-1.982082401614414e+001,-4.939821186869632e+000,1.883785762496075e+000},
{-1.708865276896965e+002,-2.036042337835779e+001,-4.986109598005116e+000,
1.878074463988980e+000},{-1.785925165319611e+002,-2.091499764565038e+001,
-5.032867358670587e+000,1.872405544044007e+000},{-1.866414510420746e+002,
-2.148495164496683e+001,-5.080099846220948e+000,1.866778648221036e+000},
{-1.950479162106498e+002,-2.207069912489180e+001,-5.127812463129048e+000,
1.861193424984080e+000},{-2.038271353278870e+002,-2.267266292380108e+001,
-5.176010633724887e+000,1.855649525728495e+000},{-2.129949758145855e+002,
-2.329127536217849e+001,-5.224699800985325e+000,1.850146604808510e+000},
{-2.225680072626292e+002,-2.392697840643329e+001,-5.273885423907177e+000,
1.844684319564753e+000},{-2.325635046039472e+002,-2.458022411269052e+001,
-5.323572974870670e+000,1.839262330351306e+000},{-2.429995182741653e+002,
-2.525147478994882e+001,-5.373767937627715e+000,1.833880300561732e+000},
{-2.538948748098448e+002,-2.594120350769362e+001,-5.424475805224988e+000,
1.828537896653741e+000},{-2.652692415314800e+002,-2.664989431255637e+001,
-5.475702078602022e+000,1.823234788172320e+000},{-2.771431560702175e+002,
-2.737804267118220e+001,-5.527452265174031e+000,1.817970647770634e+000},
{-2.895380660742452e+002,-2.812615585599748e+001,-5.579731877863270e+000,
1.812745151228864e+000},{-3.024763750171533e+002,-2.889475333428489e+001,
-5.632546434409225e+000,1.807557977470461e+000},{-3.159814902028902e+002,
-2.968436718887993e+001,-5.685901456916128e+000,1.802408808575871e+000},
{-3.300778700110466e+002,-3.049554255611214e+001,-5.739802471693491e+000,
1.797297329793238e+000},{-3.447910678389576e+002,-3.132883810210219e+001,
-5.794255009340000e+000,1.792223229546456e+000},{-3.601477887192862e+002,
-3.218482647037611e+001,-5.849264605126227e+000,1.787186199439965e+000},
{-3.761759502852180e+002,-3.306409475164691e+001,-5.904836799592490e+000,
1.782185934260666e+000},{-3.929047215975117e+002,-3.396724504852546e+001,
-5.960977139338727e+000,1.777222131976677e+000},{-4.103646058482501e+002,
-3.489489490975335e+001,-6.017691178152736e+000,1.772294493733011e+000},
{-4.285874676385886e+002,-3.584767798721607e+001,-6.074984478170861e+000,
1.767402723844187e+000},{-4.476066601835161e+002,-3.682624437371988e+001,
-6.132862611514633e+000,1.762546529783868e+000},{-4.674570002533873e+002,
-3.783126149387554e+001,-6.191331161679662e+000,1.757725622171409e+000},
{-4.881749356184829e+002,-3.886341433245930e+001,-6.250395725677553e+000,
1.752939714755772e+000},{-5.097985523417300e+002,-3.992340630042679e+001,
-6.310061915750649e+000,1.748188524396310e+000},{-5.323676746229096e+002,
-4.101195973874807e+001,-6.370335361660072e+000,1.743471771041181e+000},
{-5.559239469182820e+002,-4.212981655933941e+001,-6.431221712923479e+000,
1.738789177703054e+000},{-5.805109168157189e+002,-4.327773889908156e+001,
-6.492726641214050e+000,1.734140470432367e+000},{-6.061741146091180e+002,
-4.445650981673200e+001,-6.554855842839679e+000,1.729525378288342e+000},
{-6.329602015454766e+002,-4.566693587314825e+001,-6.617615040532088e+000,
1.724943633307832e+000},{-6.609250424371172e+002,-4.690982976130863e+001,
-6.681009994698973e+000,1.720394970472067e+000},{-6.901042593869157e+002,
-4.818608458142636e+001,-6.745046467541486e+000,1.715879127671711e+000},
{-7.205706164247110e+002,-4.949651492478494e+001,-6.809730323163137e+000,
1.711395845671781e+000},{-7.523401581588573e+002,-5.084211154381994e+001,
-6.875067360429169e+000,1.706944868064385e+000},{-7.854200256589894e+002,
-5.222382897866345e+001,-6.941063483168687e+000,1.702525941248357e+000},
{-8.210353457106370e+002,-5.364030461686616e+001,-7.007725542909286e+000,
1.698138814375824e+000},{-8.554766922517680e+002,-5.510143617018551e+001,
-7.075055206156207e+000,1.693783239359508e+000},{-8.945408949715370e+002,
-5.659285841589260e+001,-7.143067888804235e+000,1.689458970942078e+000},
{-9.336319987298878e+002,-5.812951993780914e+001,-7.211759170575077e+000,
1.685165765209987e+000},{-9.748070167487797e+002,-5.970600021779582e+001,
-7.281141145128838e+000,1.680903383115732e+000},{-1.017797161099866e+003,
-6.132462116161106e+001,-7.351218688149022e+000,1.676671586493826e+000},
{-1.062683684456890e+003,-6.298650584026640e+001,-7.421998074872098e+000,
1.672470140103473e+000},{-1.109551487921742e+003,-6.469280936461375e+001,
-7.493485645708336e+000,1.668298811149195e+000},{-1.158489280848639e+003,
-6.644471976211437e+001,-7.565687809091735e+000,1.664157369235286e+000},
{-1.209589622929883e+003,-6.824345904605310e+001,-7.638611044176486e+000,
1.660045586320429e+000},{-1.262949116295308e+003,-7.009028388353097e+001,
-7.712261903592744e+000,1.655963236672332e+000},{-1.318668341934761e+003,
-7.198648673326566e+001,-7.786647015696424e+000,1.651910096822905e+000},
{-1.378234074012758e+003,-7.393131086849101e+001,-7.861773788109874e+000,
1.647885945523818e+000},{-1.442265174772427e+003,-7.592462610887877e+001,
-7.937649607034357e+000,1.643890563702867e+000},{-1.511481571183503e+003,
-7.796562144522292e+001,-8.014283223597630e+000,1.639923734421354e+000},
{-1.586722725865685e+003,-8.026846357280738e+001,-8.098960584225544e+000,
1.635617913591073e+000},{-1.668825233579326e+003,-8.268094464949859e+001,
-8.186167899408106e+000,1.631266166750611e+000},{-1.751894172577563e+003,
-8.522351785771092e+001,-8.276024876610972e+000,1.626867109373032e+000},
{-1.847472908821830e+003,-8.787922432899295e+001,-8.368677996958821e+000,
1.622419288010019e+000},{-1.946491084587533e+003,-9.068266529460510e+001,
-8.464253729359603e+000,1.617921174006821e+000},{-2.053978412575095e+003,
-9.363129093939379e+001,-8.562915811238364e+000,1.613371162616998e+000},
{-2.169922983260752e+003,-9.673869964576350e+001,-8.664826684394154e+000,
1.608767561543369e+000},{-2.295197216249843e+003,-1.000170527865890e+002,
-8.770163821231140e+000,1.604108587787459e+000},{-2.430785442417563e+003,
-1.034797311140764e+002,-8.879118505262669e+000,1.599392359891713e+000},
{-2.577801026632838e+003,-1.071414867500088e+002,-8.991897240203381e+000,
1.594616890192578e+000},{-2.737506932622896e+003,-1.110186171022473e+002,
-9.108723338184889e+000,1.589780076274507e+000},{-2.911339732177706e+003,
-1.151291662320393e+002,-9.229838713457117e+000,1.584879691522251e+000},
{-3.100938315519513e+003,-1.194931571822090e+002,-9.355505914598652e+000,
1.579913374653328e+000},{-3.308178313364557e+003,-1.241328611774950e+002,
-9.486010432931598e+000,1.574878618093619e+000},{-3.535213086559769e+003,
-1.290731114786262e+002,-9.621663331956111e+000,1.569772755037022e+000},
{-3.784523337361933e+003,-1.343416691601648e+002,-9.762804252286623e+000,
1.564592945003904e+000},{-4.058976804769223e+003,-1.399696522448835e+002,
-9.909804855879647e+000,1.559336157681449e+000},{-4.361900810987743e+003,
-1.459920399445989e+002,-1.006307278746745e+001,1.553999154791511e+000},
{-4.697170408589283e+003,-1.524482682241805e+002,-1.022305624605249e+001,
1.548578469686142e+000},{-5.069316087288656e+003,-1.593829353173996e+002,
-1.039024927974076e+001,1.543070384316234e+000},{-5.483655244797968e+003,
-1.668466418498926e+002,-1.056519794058328e+001,1.537470903152320e+000},
{-5.946453353590173e+003,-1.748969941438437e+002,-1.074850746706512e+001,
1.531775723555805e+000},{-6.470411734157407e+003,-1.835913253448870e+002,
-1.094085372023932e+001,1.525980202000237e+000},{-7.043187071142154e+003,
-1.930474897871591e+002,-1.114297042220280e+001,1.520079315421806e+000},
{-7.711933761545253e+003,-2.032681531837435e+002,-1.135574068537159e+001,
1.514067616830629e+000},{-8.457541572806047e+003,-2.144378352863221e+002,
-1.158005302355428e+001,1.507939179287543e+000},{-9.310061797401568e+003,
-2.266315901380780e+002,-1.181700489705569e+001,1.501687551187454e+000},
{-1.028612055393173e+004,-2.399941811640263e+002,-1.206779207559716e+001,
1.495305668348962e+000},{-1.140941135333577e+004,-2.546856980795141e+002,
-1.233378335486043e+001,1.488785783609071e+000},{-1.270936879154894e+004,
-2.708950151984197e+002,-1.261654223773738e+001,1.482119368890722e+000},
{-1.422287401592777e+004,-2.888462620691078e+002,-1.291786359692049e+001,
1.475297002040697e+000},{-1.599657041959849e+004,-3.088070502047960e+002,
-1.323981906420460e+001,1.468308231964111e+000},{-1.809004382910636e+004,
-3.310990266311976e+002,-1.358481369182558e+001,1.461141416796625e+000},
{-2.058025235609896e+004,-3.561115228088582e+002,-1.395565733388563e+001,
1.453783528293291e+000},{-2.356778164825942e+004,-3.843193794845403e+002,
-1.435565545638336e+001,1.446219913491735e+000},{-2.718581393635035e+004,
-4.163064498517156e+002,-1.478872591139304e+001,1.438434001794348e+000},
{-3.161318342772590e+004,-4.527969315541988e+002,-1.525955085475275e+001,
1.430406941556335e+000},{-3.710725880796295e+004,-4.946758410121437e+002,
-1.577378467014829e+001,1.422117144536678e+000},{-4.396402756633394e+004,
-5.431789342797099e+002,-1.633827036775515e+001,1.413539708353296e+000},
{-5.273878604465988e+004,-5.996007772929380e+002,-1.696157367093251e+001,
1.404645675124891e+000},{-6.407490165878369e+004,-6.659850765960473e+002,
-1.765417026519191e+001,1.395401054361457e+000},{-7.904776202793667e+004,
-7.447144090654609e+002,-1.842951853955794e+001,1.385765574728270e+000},
{-9.926766194745344e+004,-8.390379482241829e+002,-1.930485080869606e+001,
1.375690927154873e+000},{-1.273095825071022e+005,-9.532400246900349e+002,
-2.030280355373593e+001,1.365118418615304e+000},{-1.674562138620607e+005,
-1.092995537492447e+003,-2.145377509289186e+001,1.353975640846269e+000},
{-2.272198539857275e+005,-1.265667878999013e+003,-2.279974485733070e+001,
1.342171664024869e+000},{-3.205446595310491e+005,-1.480352798561740e+003,
-2.440067528762999e+001,1.329589871746868e+000},{-4.757004171335059e+005,
-1.745534398035771e+003,-2.634638501786641e+001,1.316076873033058e+000},
{-7.277874286905073e+005,-2.104072122532931e+003,-2.876388941251714e+001,
1.301424533021810e+000},{-1.158269327743195e+006,-2.638285390348861e+003,
-3.185184183947293e+001,1.285339230723633e+000},{-1.959002083113540e+006,
-3.532523254029535e+003,-3.592185311796366e+001,1.267385221467623e+000},
{-3.596005342715708e+006,-3.892843755514912e+003,-4.023498447113133e+001,
1.252292339125201e+000},{-7.337307110377396e+006,-3.598464703219049e+003,
-4.636507095266333e+001,1.235307228164419e+000},{-1.605717610482991e+007,
-3.192373063618026e+003,-5.564203153249309e+001,1.214800598771303e+000},
{-3.619723757401069e+007,-6.348690590601902e+003,-6.892252303788369e+001,
1.191007390096094e+000},{-8.251938353183653e+007,-1.344847387729171e+004,
-8.574522926416114e+001,1.168783843757871e+000},{-2.040599684077241e+008,
-1.069786567964125e+004,-1.061289066146439e+002,1.150438269719548e+000},
{-5.121867096552509e+008,1.456135255074863e+004,-1.331224976907382e+002,
1.133590960463892e+000},{-1.208283139664454e+009,1.667633657013471e+004,
-1.694988472006016e+002,1.115407413029604e+000},{-2.713573785229895e+009,
-2.376510051574436e+005,-2.229542789125316e+002,1.093221801784601e+000},
{-5.496859099556583e+009,-4.498406556454219e+005,-2.698490407608527e+002,
1.081141798451352e+000},{-1.281003550443853e+010,-1.454397978181947e+005,
-3.068797733762085e+002,1.075521362860637e+000},{-3.803997568288454e+010,
7.244080350807136e+005,-3.862216588136204e+002,1.065839017041407e+000},
{-1.282594878189864e+011,3.702125120753230e+006,-5.256416986606254e+002,
1.055309382343471e+000},{-4.144936674091608e+011,2.980984288420191e+006,
-6.792080235153045e+002,1.041458768913244e+000},{-8.964984509224136e+011,
-5.905430282043110e+006,-8.516642522807352e+002,1.031926967645291e+000},
{-7.355836465490852e+015,4.518177895310270e+010,-6.933068977626010e+004,
1.025706312840203e+000}};
constant Real[Ninterval, 4] dvtcoef={{3.665200884480820e-001,
3.768263375039013e-002,2.190792329657455e-003,5.503960828374045e-005},{
3.740100562223658e-001,3.839687254278058e-002,2.241470067816089e-003,
5.651517998086539e-005},{3.828499115332361e-001,3.899054527468819e-002,
2.284797395124333e-003,5.778081864475580e-005},{3.933222065720126e-001,
4.041224383597725e-002,2.385959187504062e-003,6.075322570198209e-005},{
4.040330124879073e-001,4.188279732592867e-002,2.491507351266832e-003,
6.387796804156671e-005},{4.149858832885122e-001,4.340369917802586e-002,
2.601623832550185e-003,6.716271877677985e-005},{4.261843979498587e-001,
4.497658031312836e-002,2.716504756553497e-003,7.061574208320139e-005},{
4.376320460159308e-001,4.660304907537514e-002,2.836349505162887e-003,
7.424557939372635e-005},{4.493322760556361e-001,4.828479016768840e-002,
2.961367887534022e-003,7.806127539077438e-005},{4.612885541291512e-001,
5.002349607708437e-002,3.091775532306176e-003,8.207225038864295e-005},{
4.735043599311913e-001,5.182093843609277e-002,3.227799262656286e-003,
8.628847726670128e-005},{4.859830663248401e-001,5.367889630080813e-002,
3.369672145850532e-003,9.072034242183301e-005},{4.987281155931236e-001,
5.559927072115295e-002,3.517642230639391e-003,9.537893269130447e-005},{
5.117427716648794e-001,5.758397405257353e-002,3.671964680832330e-003,
1.002758063548368e-004},{5.250302993025363e-001,5.963492463599265e-002,
3.832901617045873e-003,1.054230003569787e-004},{5.385939624651210e-001,
6.175417109476790e-002,4.000731818279412e-003,1.108333568850559e-004},{
5.524368943414315e-001,6.394372783418179e-002,4.175738556303638e-003,
1.165201514339943e-004},{5.664900425757722e-001,6.620605134392597e-002,
4.358222679301490e-003,1.224975427286338e-004},{5.805583121436652e-001,
6.854424938506180e-002,4.548492850733371e-003,1.287802891593489e-004},{
5.946086214220634e-001,7.096102605514981e-002,4.746869857737302e-003,
1.353838849828342e-004},{6.086065747191686e-001,7.340678828072091e-002,
4.949478977042500e-003,1.421827481986982e-004},{6.225914771181178e-001,
7.579030259624107e-002,5.148953763370412e-003,1.489285080947021e-004},{
6.367315613084956e-001,7.822925272680593e-002,5.354873479106979e-003,
1.559450852216557e-004},{6.510248604875336e-001,8.072426859544872e-002,
5.567387089688100e-003,1.632411903229065e-004},{6.654693630800921e-001,
8.327597242098897e-002,5.786645233200854e-003,1.708257343021365e-004},{
6.800630053891468e-001,8.588497856777670e-002,6.012800199529966e-003,
1.787078304444174e-004},{6.948036854574047e-001,8.855189328122257e-002,
6.246005909138952e-003,1.868967966091155e-004},{7.096892568246661e-001,
9.127731455960417e-002,6.486417891145978e-003,1.954021573940052e-004},{
7.247175349874265e-001,9.406183194968448e-002,6.734193261069997e-003,
2.042336462698481e-004},{7.398863032918654e-001,9.690602637057491e-002,
6.989490698063166e-003,2.134012076848844e-004},{7.551933077292230e-001,
9.981047000578269e-002,7.252470421664215e-003,2.229149991386050e-004},{
7.706362681974270e-001,1.027757261083910e-001,7.523294168294181e-003,
2.327853932242564e-004},{7.862128763870087e-001,1.058023489048649e-001,
7.802125167244362e-003,2.430229796396210e-004},{8.019208000233606e-001,
1.088908834647968e-001,8.089128116419406e-003,2.536385671655344e-004},{
8.177576857661010e-001,1.120418655935747e-001,8.384469157748138e-003,
2.646431856117704e-004},{8.337211625135900e-001,1.152558217345552e-001,
8.688315852326128e-003,2.760480877298891e-004},{8.498088435549523e-001,
1.185332688891191e-001,9.000837155310458e-003,2.878647510927008e-004},{
8.660183298445744e-001,1.218747145409911e-001,9.322203390615966e-003,
3.001048799400485e-004},{8.823472121350809e-001,1.252806565984050e-001,
9.652586225422304e-003,3.127804069906578e-004},{8.987930767579581e-001,
1.287515833300165e-001,9.992158644551460e-003,3.259034952198205e-004},{
9.153535027634360e-001,1.322879733585061e-001,1.034109492467412e-002,
3.394865396027454e-004},{9.320260723490239e-001,1.358902955896432e-001,
1.069957060853094e-002,3.535421688234263e-004},{9.488083651027407e-001,
1.395590092481384e-001,1.106776247896205e-002,3.680832469489624e-004},{
9.656979703504189e-001,1.432945638174619e-001,1.144584853306668e-002,
3.831228750692304e-004},{9.826924805368605e-001,1.470973991054695e-001,
1.183400795620025e-002,3.986743929019505e-004},{9.997894997984816e-001,
1.509679452225744e-001,1.223242109616551e-002,4.147513803631108e-004},{
1.016986646503764e+000,1.549066226184312e-001,1.264126943736927e-002,
4.313676591028885e-004},{1.034281553150528e+000,1.589138421395006e-001,
1.306073557508202e-002,4.485372940071116e-004},{1.051671869872525e+000,
1.629900050717103e-001,1.349100318986285e-002,4.662745946644320e-004},{
1.069155270937662e+000,1.671355031844444e-001,1.393225702213025e-002,
4.845941167994041e-004},{1.086729447284750e+000,1.713507188579044e-001,
1.438468284683222e-002,5.035106636716927e-004},{1.104392125557418e+000,
1.756360250733073e-001,1.484846744851311e-002,5.230392874416344e-004},{
1.122141050214495e+000,1.799917856279029e-001,1.532379859632389e-002,
5.431952905025172e-004},{1.139974004762330e+000,1.844183551212992e-001,
1.581086501965071e-002,5.639942267798111e-004},{1.157888800935349e+000,
1.889160791550389e-001,1.630985638370746e-002,5.854519029978606e-004},{
1.175883287892217e+000,1.934852944091692e-001,1.682096326567359e-002,
6.075843799142949e-004},{1.193955352468680e+000,1.981263287911221e-001,
1.734437713105463e-002,6.304079735227150e-004},{1.212102920438635e+000,
2.028395015817585e-001,1.788029031044544e-002,6.539392562240593e-004},{
1.230323959893689e+000,2.076251235778936e-001,1.842889597669781e-002,
6.781950579671869e-004},{1.248616484149628e+000,2.124834972498307e-001,
1.899038812248679e-002,7.031924673592142e-004},{1.266978553097518e+000,
2.174149169184600e-001,1.956496153830370e-002,7.289488327461666e-004},{
1.285408269937146e+000,2.224196689540113e-001,2.015281179091836e-002,
7.554817632645458e-004},{1.303903795153633e+000,2.274980318933519e-001,
2.075413520241562e-002,7.828091298644555e-004},{1.322463336930379e+000,
2.326502767088909e-001,2.136912882953291e-002,8.109490663049821e-004},{
1.341085156891751e+000,2.378766669763421e-001,2.199799044372205e-002,
8.399199701224019e-004},{1.359767575223034e+000,2.431774590683698e-001,
2.264091851168786e-002,8.697405035720730e-004},{1.378508965237237e+000,
2.485529024112762e-001,2.329811217643337e-002,9.004295945446784e-004},{
1.397307764139623e+000,2.540032396549401e-001,2.396977123901983e-002,
9.320064374575882e-004},{1.416162464351274e+000,2.595287069634087e-001,
2.465609614076989e-002,9.644904941221798e-004},{1.435071623389463e+000,
2.651295341966611e-001,2.535728794626573e-002,9.979014945878779e-004},{
1.454033862914496e+000,2.708059451751824e-001,2.607354832685021e-002,
1.032259437963822e-003},{1.473047868841412e+000,2.765581579370460e-001,
2.680507954482812e-002,1.067584593218963e-003},{1.492112386818882e+000,
2.823863850138245e-001,2.755208443834308e-002,1.103897499961510e-003},{
1.511226244667304e+000,2.882908335802246e-001,2.831476640706065e-002,
1.141218969198648e-003},{1.530388322738662e+000,2.942717059001999e-001,
2.909332939819350e-002,1.179570084077442e-003},{1.549597582529973e+000,
3.003291994252179e-001,2.988797789375669e-002,1.218972200607816e-003},{
1.568853054060884e+000,3.064635071695984e-001,3.069891689809663e-002,
1.259446948368720e-003},{1.588153834283365e+000,3.126748179903948e-001,
3.152635192639908e-002,1.301016231198290e-003},{1.607499102743188e+000,
3.189633167940680e-001,3.237048899399019e-002,1.343702227869144e-003},{
1.626888102366270e+000,3.253291849447598e-001,3.323153460615338e-002,
1.387527392749791e-003},{1.646320164489830e+000,3.317726004172473e-001,
3.410969574909326e-002,1.432514456453111e-003},{1.665794682688201e+000,
3.382937382564183e-001,3.500517988125847e-002,1.478686426473104e-003},{
1.685311138825627e+000,3.448927707221959e-001,3.591819492593865e-002,
1.526066587810795e-003},{1.704869084047406e+000,3.515698677202811e-001,
3.684894926422587e-002,1.574678503590567e-003},{1.724468158770434e+000,
3.583251969986714e-001,3.779765172916720e-002,1.624546015667824e-003},{
1.744108067700997e+000,3.651589246073122e-001,3.876451160038527e-002,
1.675693245229228e-003},{1.763788610501295e+000,3.720712150319988e-001,
3.974973859999501e-002,1.728144593386518e-003},{1.783509661384779e+000,
3.790622316554051e-001,4.075354288886299e-002,1.781924741765163e-003},{
1.803271169098520e+000,3.861321370576751e-001,4.177613506405691e-002,
1.837058653088839e-003},{1.823073183620778e+000,3.932810932079064e-001,
4.281772615719370e-002,1.893571571760980e-003},{1.842915816106496e+000,
4.005092620304885e-001,4.387852763320605e-002,1.951489024444566e-003},{
1.862799271892769e+000,4.078168055176666e-001,4.495875139067014e-002,
2.010836820641158e-003},{1.882723840320363e+000,4.152038861479577e-001,
4.605860976245487e-002,2.071641053270659e-003},{1.902689896843988e+000,
4.226706672139174e-001,4.717831551747944e-002,2.133928099252665e-003},{
1.922697890394811e+000,4.302173132196612e-001,4.831808186330070e-002,
2.197724620090751e-003},{1.942748370153087e+000,4.378439900664124e-001,
4.947812244984428e-002,2.263057562460898e-003},{1.962841961294967e+000,
4.455508655515563e-001,5.065865137358835e-002,2.329954158805294e-003},{
1.982979377414200e+000,4.533381096250566e-001,5.185988318307852e-002,
2.398441927932571e-003},{2.003161423573253e+000,4.612058947322305e-001,
5.308203288516229e-002,2.468548675625884e-003},{2.023388978688615e+000,
4.691543962461522e-001,5.432531595209598e-002,2.540302495259932e-003},{
2.043663032156556e+000,4.771837926209295e-001,5.558994832988842e-002,
2.613731768428245e-003},{2.063984632955979e+000,4.852942660390235e-001,
5.687614644693947e-002,2.688865165581934e-003},{2.084354942844196e+000,
4.934860024349729e-001,5.818412722451828e-002,2.765731646681043e-003},{
2.104775202157050e+000,5.017591920850383e-001,5.951410808727019e-002,
2.844360461860065e-003},{2.125246731719251e+000,5.101140299143760e-001,
6.086630697524879e-002,2.924781152108464e-003},{2.145770960466568e+000,
5.185507157095545e-001,6.224094235686584e-002,3.007023549967835e-003},{
2.166349393201155e+000,5.270694546814225e-001,6.363823324234659e-002,
3.091117780246803e-003},{2.186983629134377e+000,5.356704576934424e-001,
6.505839919869993e-002,3.177094260754839e-003},{2.207675360445951e+000,
5.443539416465710e-001,6.650166036532459e-002,3.264983703056519e-003},{
2.228426369973906e+000,5.531201298632031e-001,6.796823747062697e-002,
3.354817113247326e-003},{2.249238522655806e+000,5.619692524824012e-001,
6.945835184963980e-002,3.446625792752342e-003},{2.270113792409218e+000,
5.709015466811348e-001,7.097222546277789e-002,3.540441339149131e-003},{
2.291054235680260e+000,5.799172572176781e-001,7.251008091513399e-002,
3.636295647016205e-003},{2.312061997510860e+000,5.890166367384575e-001,
7.407214147719843e-002,3.734220908808123e-003},{2.333139328790219e+000,
5.981999460648496e-001,7.565863110647320e-002,3.834249615758862e-003},{
2.354288566264979e+000,6.074674546965987e-001,7.726977446981624e-002,
3.936414558814613e-003},{2.375512137218167e+000,6.168194411357968e-001,
7.890579696711332e-002,4.040748829597290e-003},{2.396812574191011e+000,
6.262561931938135e-001,8.056692475586602e-002,4.147285821400253e-003},{
2.418192505865444e+000,6.357780084481650e-001,8.225338477660042e-002,
4.256059230217468e-003},{2.439654638189181e+000,6.453851947021946e-001,
8.396540477941994e-002,4.367103055807411e-003},{2.461201802244242e+000,
6.550780701048645e-001,8.570321335190975e-002,4.480451602793228e-003},{
2.482836910050617e+000,6.648569638275532e-001,8.746703994730097e-002,
4.596139481800508e-003},{2.504562958561007e+000,6.747222163788872e-001,
8.925711491435891e-002,4.714201610633784e-003},{2.526383089076794e+000,
6.846741796996655e-001,9.107366952835992e-002,4.834673215493565e-003},{
2.548300479768189e+000,6.947132181729661e-001,9.291693602203711e-002,
4.957589832234993e-003},{2.570318477197365e+000,7.048397082466733e-001,
9.478714761948791e-002,5.082987307669528e-003},{2.592440465382741e+000,
7.150540396336219e-001,9.668453856884922e-002,5.210901800911450e-003},{
2.614669982458294e+000,7.253566149948452e-001,9.860934417835919e-002,
5.341369784769924e-003},{2.637010642561412e+000,7.357478508657601e-001,
1.005618008515189e-001,5.474428047188929e-003},{2.659466158279287e+000,
7.462281778772136e-001,1.025421461246414e-001,5.610113692735653e-003},{
2.682040381265263e+000,7.567980409850534e-001,1.045506187051913e-001,
5.748464144139502e-003},{2.704737228505560e+000,7.674579003195780e-001,
1.065874585105618e-001,5.889517143882839e-003},{2.727560756610687e+000,
7.782082311537123e-001,1.086529067092295e-001,6.033310755844878e-003},{
2.750515116663080e+000,7.890495246405542e-001,1.107472057618116e-001,
6.179883367000695e-003},{2.773604564123278e+000,7.999822881587377e-001,
1.128705994640319e-001,6.329273689176290e-003},{2.796833481101817e+000,
8.110070456381986e-001,1.150233329907212e-001,6.481520760861736e-003},{
2.820206359500705e+000,8.221243381278066e-001,1.172056529406883e-001,
6.636663949083662e-003},{2.843727786952501e+000,8.333347242992452e-001,
1.194178073829910e-001,6.794742951338803e-003},{2.867402504168878e+000,
8.446387806027250e-001,1.216600459047351e-001,6.955797797590129e-003},{
2.891235314964451e+000,8.560371022382086e-001,1.239326196590929e-001,
7.119868852327294e-003},{2.915231207685412e+000,8.675303029206455e-001,
1.262357814161839e-001,7.286996816692764e-003},{2.939395228384068e+000,
8.791190161294715e-001,1.285697856130808e-001,7.457222730675805e-003},{
2.963732594119631e+000,8.908038948858174e-001,1.309348884073418e-001,
7.630587975375205e-003},{2.988248610630383e+000,9.025856127699617e-001,
1.333313477298497e-001,7.807134275333398e-003},{3.012948756836480e+000,
9.144648639316437e-001,1.357594233405432e-001,7.986903700942813e-003},{
3.037838552477580e+000,9.264423643191631e-001,1.382193768838317e-001,
8.169938670926896e-003},{3.062923779323181e+000,9.385188509558488e-001,
1.407114719478523e-001,8.356281954897082e-003},{3.088210210949279e+000,
9.506950840800934e-001,1.432359741212169e-001,8.545976675988148e-003},{
3.113703846840580e+000,9.629718461669161e-001,1.457931510558516e-001,
8.739066313572597e-003},{3.139410816633882e+000,9.753499432105148e-001,
1.483832725273125e-001,8.935594706057733e-003},{3.165337344775792e+000,
9.878302053998029e-001,1.510066104981779e-001,9.135606053765535e-003},{
3.191489836188858e+000,1.000413487150973e+000,1.536634391835181e-001,
9.339144921898232e-003},{3.217874837362654e+000,1.013100667985528e+000,
1.563540351164809e-001,9.546256243591650e-003},{3.244499017871583e+000,
1.025892653177059e+000,1.590786772160487e-001,9.756985323057694e-003},{
3.271369233348681e+000,1.038790373981308e+000,1.618376468567759e-001,
9.971377838818435e-003},{3.298492456712199e+000,1.051794788668075e+000,
1.646312279389412e-001,1.018947984703397e-002},{3.325875855766680e+000,
1.064906882678220e+000,1.674597069616482e-001,1.041133778492568e-002},{
3.353526720988624e+000,1.078127669689009e+000,1.703233730962368e-001,
1.063699847429761e-002},{3.381452539482126e+000,1.091458191811743e+000,
1.732225182626495e-001,1.086650912515772e-002},{3.409660934355382e+000,
1.104899520630803e+000,1.761574372062440e-001,1.109991733944163e-002},{
3.438159712928544e+000,1.118452757551656e+000,1.791284275774465e-001,
1.133727111484079e-002},{3.466956886644510e+000,1.132119034446490e+000,
1.821357900125424e-001,1.157861884873769e-002},{3.496060578876284e+000,
1.145899514855565e+000,1.851798282158324e-001,1.182400934225040e-002},{
3.525479158448411e+000,1.159795393897511e+000,1.882608490453275e-001,
1.207349180438865e-002},{3.555221150625067e+000,1.173807899612132e+000,
1.913791625981357e-001,1.232711585632465e-002},{3.585295253530584e+000,
1.187938293517513e+000,1.945350822993449e-001,1.258493153578014e-002},{
3.615710419947444e+000,1.202187870979279e+000,1.977289249926884e-001,
1.284698930153326e-002},{3.646475741855814e+000,1.216557962688612e+000,
2.009610110319655e-001,1.311334003804746e-002},{3.677600534221765e+000,
1.231049934891233e+000,2.042316643764733e-001,1.338403506022480e-002},{
3.709094341468303e+000,1.245665190249085e+000,2.075412126872400e-001,
1.365912611828753e-002},{3.740966909400527e+000,1.260405168872820e+000,
2.108899874254873e-001,1.393866540278966e-002},{3.773228176367919e+000,
1.275271349170827e+000,2.142783239537165e-001,1.422270554976199e-002},{
3.805888377290767e+000,1.290265248201987e+000,2.177065616394706e-001,
1.451129964599359e-002},{3.838957884662454e+000,1.305388423503501e+000,
2.211750439596317e-001,1.480450123445293e-002},{3.872447399709886e+000,
1.320642472860455e+000,2.246841186100514e-001,1.510236431985103e-002},{
3.906367799894601e+000,1.336029036255819e+000,2.282341376142729e-001,
1.540494337435146e-002},{3.940730251550222e+000,1.351549796109007e+000,
2.318254574376806e-001,1.571229334342844e-002},{3.975546173467691e+000,
1.367206478594881e+000,2.354584391022789e-001,1.602446965187828e-002},{
4.010827215553952e+000,1.383000854730738e+000,2.391334483049296e-001,
1.634152820998645e-002},{4.046585350875875e+000,1.398934740935574e+000,
2.428508555387394e-001,1.666352541985450e-002},{4.082832758036515e+000,
1.415010000798975e+000,2.466110362157002e-001,1.699051818189041e-002},{
4.119582040102078e+000,1.431228545024562e+000,2.504143707946231e-001,
1.732256390146564e-002},{4.156845889599819e+000,1.447592334476850e+000,
2.542612449081177e-001,1.765972049574360e-002},{4.194637505310675e+000,
1.464103378865951e+000,2.581520494986178e-001,1.800204640068241e-002},{
4.232970236952464e+000,1.480763740213331e+000,2.620871809503179e-001,
1.834960057821798e-002},{4.271857846363231e+000,1.497575532404973e+000,
2.660670412307083e-001,1.870244252362888e-002},{4.311314452870784e+000,
1.514540923036616e+000,2.700920380312623e-001,1.906063227308990e-002},{
4.351354365658449e+000,1.531662135547257e+000,2.741625849122226e-001,
1.942423041141704e-002},{4.391992415882795e+000,1.548941448644654e+000,
2.782791014540191e-001,1.979329808000918e-002},{4.433243686970854e+000,
1.566381199477114e+000,2.824420134068151e-001,2.016789698499184e-002},{
4.475123641314885e+000,1.583983784131202e+000,2.866517528484842e-001,
2.054808940556589e-002},{4.517648207096858e+000,1.601751658807016e+000,
2.909087583444591e-001,2.093393820256836e-002},{4.560833550448293e+000,
1.619687342607780e+000,2.952134751100056e-001,2.132550682724936e-002},{
4.604696396499985e+000,1.637793417179381e+000,2.995663551808326e-001,
2.172285933027002e-002},{4.649253796372554e+000,1.656072529916263e+000,
3.039678575822974e-001,2.212606037092869e-002},{4.694523265092098e+000,
1.674527394692921e+000,3.084184485074046e-001,2.253517522661828e-002},{
4.740522712955659e+000,1.693160794008574e+000,3.129186014966691e-001,
2.295026980252321e-002},{4.787270576136158e+000,1.711975580058748e+000,
3.174687976240633e-001,2.337141064156014e-002},{4.834785712163620e+000,
1.730974677253755e+000,3.220695256857244e-001,2.379866493456965e-002},{
4.883087485591644e+000,1.750161083541156e+000,3.267212823955581e-001,
2.423210053076392e-002},{4.932195710571193e+000,1.769537872699258e+000,
3.314245725842074e-001,2.467178594843879e-002},{4.982130846586524e+000,
1.789108195340259e+000,3.361799094048092e-001,2.511779038595532e-002},{
5.032913690335282e+000,1.808875282735387e+000,3.409878145406674e-001,
2.557018373299858e-002},{5.084565761601779e+000,1.828842446624347e+000,
3.458488184239917e-001,2.602903658212011e-002},{5.137109093797749e+000,
1.849013082945023e+000,3.507634604540620e-001,2.649442024057316e-002},{
5.190566200241511e+000,1.869390674036088e+000,3.557322892248459e-001,
2.696640674244556e-002},{5.244960447391115e+000,1.889978789056404e+000,
3.607558627598103e-001,2.744506886110065e-002},{5.300315503010739e+000,
1.910781089611307e+000,3.658347487465493e-001,2.793048012193356e-002},{
5.356655984977632e+000,1.931801328375829e+000,3.709695247877092e-001,
2.842271481544970e-002},{5.414006939214302e+000,1.953043355008492e+000,
3.761607786475629e-001,2.892184801067763e-002},{5.472394280173591e+000,
1.974511116073609e+000,3.814091085150813e-001,2.942795556892076e-002},{
5.531844552982697e+000,1.996208659464594e+000,3.867151232667687e-001,
2.994111415786121e-002},{5.592384986946350e+000,2.018140136745433e+000,
3.920794427409197e-001,3.046140126602264e-002},{5.654043699138815e+000,
2.040309805072126e+000,3.975026980190738e-001,3.098889521760342e-002},{
5.716849502278652e+000,2.062722031519653e+000,4.029855317122437e-001,
3.152367518768998e-002},{5.780832066643861e+000,2.085381295218880e+000,
4.085285982589873e-001,3.206582121785987e-002},{5.846021876769548e+000,
2.108292190975333e+000,4.141325642292472e-001,3.261541423218720e-002},{
5.912450295234973e+000,2.131459432255390e+000,4.197981086381419e-001,
3.317253605366047e-002},{5.980149653199785e+000,2.154887854369196e+000,
4.255259232680015e-001,3.373726942102519e-002},{6.049153080922429e+000,
2.178582419018171e+000,4.313167129985944e-001,3.430969800606264e-002},{
6.119494843356140e+000,2.202548216154015e+000,4.371711961503690e-001,
3.488990643131756e-002},{6.191210090835239e+000,2.226790469534412e+000,
4.430901048323289e-001,3.547798028828864e-002},{6.264335024681378e+000,
2.251314539600350e+000,4.490741853049658e-001,3.607400615609312e-002},{
6.338906985205288e+000,2.276125927352816e+000,4.551241983514239e-001,
3.667807162062186e-002},{6.414964364223934e+000,2.301230279236725e+000,
4.612409196589499e-001,3.729026529419736e-002},{6.492546755911735e+000,
2.326633390771490e+000,4.674251402137614e-001,3.791067683575024e-002},{
6.571694919608382e+000,2.352341211514662e+000,4.736776667056718e-001,
3.853939697152988e-002},{6.652450889812159e+000,2.378359849304511e+000,
4.799993219463535e-001,3.917651751636464e-002},{6.734857960020156e+000,
2.404695575420992e+000,4.863909452991119e-001,3.982213139548871e-002},{
6.818960762407748e+000,2.431354829314535e+000,4.928533931226813e-001,
4.047633266695239e-002},{6.904805348414572e+000,2.458344223655918e+000,
4.993875392280697e-001,4.113921654463405e-002},{6.992439181126046e+000,
2.485670550059953e+000,5.059942753490215e-001,4.181087942187155e-002},{
7.081911236169231e+000,2.513340784316515e+000,5.126745116281625e-001,
4.249141889573267e-002},{7.173272004697938e+000,2.541362092459206e+000,
5.194291771172804e-001,4.318093379194453e-002},{7.266573617083629e+000,
2.569741836357898e+000,5.262592202942233e-001,4.387952419050236e-002},{
7.361869906936396e+000,2.598487580031925e+000,5.331656095952206e-001,
4.458729145197930e-002},{7.459216347534869e+000,2.627607096681667e+000,
5.401493339641285e-001,4.530433824455851e-002},{7.558670349451412e+000,
2.657108374111654e+000,5.472114034211771e-001,4.603076857181219e-002},{
7.660291079236791e+000,2.686999623211421e+000,5.543528496461990e-001,
4.676668780125031e-002},{7.764139728783404e+000,2.717289283930944e+000,
5.615747265851068e-001,4.751220269366371e-002},{7.870279478141036e+000,
2.747986033541306e+000,5.688781110727400e-001,4.826742143328870e-002},{
7.978775648099929e+000,2.779098793974625e+000,5.762641034782924e-001,
4.903245365881855e-002},{8.089695695459456e+000,2.810636740433291e+000,
5.837338283705550e-001,4.980741049529092e-002},{8.203109430764046e+000,
2.842609309100674e+000,5.912884352069108e-001,5.059240458687938e-002},{
8.319088992819991e+000,2.875026206633575e+000,5.989290990433451e-001,
5.138755013061993e-002},{8.437709001965207e+000,2.907897418922941e+000,
6.066570212701816e-001,5.219296291110302e-002},{8.559046630712071e+000,
2.941233220726810e+000,6.144734303718776e-001,5.300876033616472e-002},{
8.683181769475304e+000,2.975044185275829e+000,6.223795827131393e-001,
5.383506147361033e-002},{8.810197102877758e+000,3.009341194858236e+000,
6.303767633513405e-001,5.467198708900607e-002},{8.940178073287749e+000,
3.044135452087358e+000,6.384662868774791e-001,5.551965968457501e-002},{
9.073213421245114e+000,3.079438488879136e+000,6.466494982886871e-001,
5.637820353923723e-002},{9.209394871242861e+000,3.115262180887050e+000,
6.549277738848125e-001,5.724774474983270e-002},{9.348817398676971e+000,
3.151618758416641e+000,6.633025222039423e-001,5.812841127356715e-002},{
9.491579474545942e+000,3.188520818472828e+000,6.717751849883596e-001,
5.902033297172826e-002},{9.637783262374123e+000,3.225981337955358e+000,
6.803472381840313e-001,5.992364165471453e-002},{9.787534478331198e+000,
3.264013689063900e+000,6.890201929749196e-001,6.083847112842355e-002},{
9.940942732178327e+000,3.302631652132191e+000,6.977955968597331e-001,
6.176495724204956e-002},{1.009812202265841e+001,3.341849429269576e+000,
7.066750347651324e-001,6.270323793734337e-002},{1.025919010297298e+001,
3.381681664493669e+000,7.156601301940823e-001,6.365345329938531e-002},{
1.042426957493940e+001,3.422143454409642e+000,7.247525464307929e-001,
6.461574560892680e-002},{1.059348749063613e+001,3.463250369255583e+000,
7.339539877745911e-001,6.559025939636394e-002},{1.076697585846694e+001,
3.505018468612565e+000,7.432662008315984e-001,6.657714149739567e-002},{
1.094487160471041e+001,3.547464321529919e+000,7.526909758485252e-001,
6.757654111043801e-002},{1.112731703673556e+001,3.590605024361887e+000,
7.622301481021555e-001,6.858860985585549e-002},{1.131446020990981e+001,
3.634458220845387e+000,7.718855993386348e-001,6.961350183708254e-002},{
1.150645448169887e+001,3.679042126940943e+000,7.816592592654319e-001,
7.065137370370449e-002},{1.170345995510019e+001,3.724375546279324e+000,
7.915531071140711e-001,7.170238471657543e-002},{1.190564234904387e+001,
3.770477901775988e+000,8.015691732425808e-001,7.276669681505513e-002},{
1.211317480895882e+001,3.817369250831911e+000,8.117095408270398e-001,
7.384447468644079e-002},{1.232623678221967e+001,3.865070319658420e+000,
8.219763475927884e-001,7.493588583769051e-002},{1.254501551614812e+001,
3.913602522481210e+000,8.323717876409130e-001,7.604110066951828e-002},{
1.276970570264624e+001,3.962987994216706e+000,8.428981133273581e-001,
7.716029255296762e-002},{1.300051006140023e+001,4.013249618094449e+000,
8.535576372305411e-001,7.829363790855323e-002},{1.323763982202276e+001,
4.064411055841034e+000,8.643527341958465e-001,7.944131628808258e-002},{
1.348131510325956e+001,4.116496780178591e+000,8.752858434632413e-001,
8.060351045926384e-002},{1.373176523992096e+001,4.169532109259019e+000,
8.863594708830151e-001,8.178040649321636e-002},{1.398922935368295e+001,
4.223543241273606e+000,8.975761912265102e-001,8.297219385500314e-002},{
1.425395688597875e+001,4.278557291550713e+000,9.089386505921364e-001,
8.417906549731447e-002},{1.452620788323131e+001,4.334602332815509e+000,
9.204495689124428e-001,8.540121795743366e-002},{1.480625390155680e+001,
4.391707434003711e+000,9.321117425728144e-001,8.663885145762519e-002},{
1.509437843512102e+001,4.449902704716440e+000,9.439280471367345e-001,
8.789217000909319e-002},{1.539087726927183e+001,4.509219341703720e+000,
9.559014401917926e-001,8.916138151966196e-002},{1.569605974666963e+001,
4.569689672974459e+000,9.680349643254816e-001,9.044669790534268e-002},{
1.601024873436720e+001,4.631347212300324e+000,9.803317502206551e-001,
9.174833520595821e-002},{1.633378209073554e+001,4.694226707614670e+000,
9.927950199017923e-001,9.306651370500110e-002},{1.666701262562578e+001,
4.758364201213424e+000,1.005428090113279e+000,9.440145805391902e-002},{
1.701031014311637e+001,4.823797081430276e+000,1.018234375865878e+000,
9.575339740102105e-002},{1.736406085678517e+001,4.890564153189856e+000,
1.031217394122572e+000,9.712256552522060e-002},{1.772866946580232e+001,
4.958705695446524e+000,1.044380767679338e+000,9.850920097482693e-002},{
1.810455972114648e+001,5.028263532980517e+000,1.057728229205364e+000,
9.991354721162990e-002},{1.849217554137902e+001,5.099281108341590e+000,
1.071263625479878e+000,1.013358527605123e-001},{1.889198201807828e+001,
5.171803558649142e+000,1.084990921826914e+000,1.027763713648547e-001},{
1.930446710896825e+001,5.245877793634559e+000,1.098914206763288e+000,
1.042353621480049e-001},{1.973014205980786e+001,5.321552585652118e+000,
1.113037696859451e+000,1.057130897811017e-001},{2.016954403973725e+001,
5.398878652454267e+000,1.127365741851098e+000,1.072098246575545e-001},{
2.062323620612181e+001,5.477908760805788e+000,1.141902829977046e+000,
1.087258430745073e-001},{2.109181035758059e+001,5.558697820064092e+000,
1.156653593603386e+000,1.102614274216203e-001},{2.157588804150967e+001,
5.641302992575035e+000,1.171622815106442e+000,1.118168663775389e-001},{
2.207612293451024e+001,5.725783803384387e+000,1.186815433061205e+000,
1.133924551144240e-001},{2.259320168853458e+001,5.812202265487298e+000,
1.202236548730634e+000,1.149884955109506e-001},{2.312784738048727e+001,
5.900622998303927e+000,1.217891432902972e+000,1.166052963742056e-001},{
2.368082059232428e+001,5.991113369373331e+000,1.233785533055696e+000,
1.182431736709384e-001},{2.425292225768141e+001,6.083743633219402e+000,
1.249924480910505e+000,1.199024507686403e-001},{2.484499632728939e+001,
6.178587082451594e+000,1.266314100373835e+000,1.215834586869736e-001},{
2.545793213201633e+001,6.275720210738291e+000,1.282960415894291e+000,
1.232865363600859e-001},{2.609266741838787e+001,6.375222882468171e+000,
1.299869661270916e+000,1.250120309103875e-001},{2.675019182339740e+001,
6.477178512979792e+000,1.317048288932363e+000,1.267602979344092e-001},{
2.743154975809655e+001,6.581674264927436e+000,1.334502979714424e+000,
1.285317018013878e-001},{2.813784419975337e+001,6.688801252695598e+000,
1.352240653180803e+000,1.303266159652730e-001},{2.887024103476939e+001,
6.798654759803430e+000,1.370268478512396e+000,1.321454232908995e-001},{
2.962997256101324e+001,6.911334476958677e+000,1.388593885998045e+000,
1.339885163951065e-001},{3.041834222256269e+001,7.026944749204763e+000,
1.407224579184756e+000,1.358562980036433e-001},{3.123673065041534e+001,
7.145594837012060e+000,1.426168547717874e+000,1.377491813247640e-001},{
3.208659867260553e+001,7.267399213620009e+000,1.445434080900596e+000,
1.396675904404572e-001},{3.296949558164943e+001,7.392477853249294e+000,
1.465029782083446e+000,1.416119607163322e-001},{3.388706321309404e+001,
7.520956569516788e+000,1.484964583852694e+000,1.435827392312659e-001},{
3.484104425992344e+001,7.652967352967133e+000,1.505247764160289e+000,
1.455803852279572e-001},{3.583328871585933e+001,7.788648749509054e+000,
1.525888963393957e+000,1.476053705856567e-001},{3.686576173093582e+001,
7.928146259087701e+000,1.546898202497619e+000,1.496581803163948e-001},{
3.794055292138633e+001,8.071612759939052e+000,1.568285902204809e+000,
1.517393130861525e-001},{3.905988423567278e+001,8.219208975969522e+000,
1.590062903450447e+000,1.538492817625102e-001},{4.022612278917213e+001,
8.371103955820873e+000,1.612240489091282e+000,1.559886139904228e-001},{
4.144178802231272e+001,8.527475626063863e+000,1.634830406955019e+000,
1.581578527979038e-001},{4.270956760743552e+001,8.688511337873317e+000,
1.657844894438090e+000,1.603575572335084e-001},{4.403232828703730e+001,
8.854408498051546e+000,1.681296704630431e+000,1.625883030377006e-001},{
4.541313048616726e+001,9.025375228265101e+000,1.705199134198361e+000,
1.648506833502761e-001},{4.685524481402835e+001,9.201631075280597e+000,
1.729566053114142e+000,1.671453094562547e-001},{4.836216874299397e+001,
9.383407786556877e+000,1.754411936372791e+000,1.694728115728024e-001},{
4.993764414063455e+001,9.570950149359556e+000,1.779751897873626e+000,
1.718338396799571e-001},{5.158568206789742e+001,9.764516870993175e+000,
1.805601726664191e+000,1.742290643981639e-001},{5.331057910775004e+001,
9.964381592476455e+000,1.831977925638632e+000,1.766591779158699e-001},{
5.511694763067611e+001,1.017083391162707e+001,1.858897753082626e+000,
1.791248949706736e-001},{5.700974172252563e+001,1.038418054494647e+001,
1.886379267098844e+000,1.816269538878832e-001},{5.899428511832413e+001,
1.060474658549166e+001,1.914441373282820e+000,1.841661176805712e-001},{
6.107630828637804e+001,1.083287683601744e+001,1.943103875942831e+000,
1.867431752156427e-001},{6.326198278685594e+001,1.106893730143000e+001,
1.972387533071627e+000,1.893589424508101e-001},{6.555796198384681e+001,
1.131331679368660e+001,2.002314115513010e+000,1.920142637477639e-001},{
6.797142895789277e+001,1.156642867112690e+001,2.032906470660536e+000,
1.947100132673632e-001},{7.051014259118738e+001,1.182871277708803e+001,
2.064188591054464e+000,1.974470964531552e-001},{7.318249755499194e+001,
1.210063750757317e+001,2.096185688455698e+000,2.002264516101225e-001},{
7.599758305520270e+001,1.238270212416496e+001,2.128924273762562e+000,
2.030490515862381e-001},{7.896525487015090e+001,1.267543924938139e+001,
2.162432243469748e+000,2.059159055650721e-001},{8.209620970424231e+001,
1.297941764134553e+001,2.196738973190282e+000,2.088280609785455e-001},{
8.540207522795785e+001,1.329524520372681e+001,2.231875419045990e+000,
2.117866055497768e-001},{8.889550374943779e+001,1.362357234194895e+001,
2.267874227597210e+000,2.147926694769878e-001},{9.259028368620527e+001,
1.396509562361649e+001,2.304769855305945e+000,2.178474277705093e-001},{
9.651829128424471e+001,1.432049438243640e+001,2.342598758507877e+000,
2.209521027562080e-001},{1.006827813095549e+002,1.469059898846239e+001,
2.381399399667429e+000,2.241079667600002e-001},{1.050830383090181e+002,
1.507634001775476e+001,2.421212499782385e+000,2.273163449897145e-001},{
1.097159532822494e+002,1.548598574903566e+001,2.462761236361068e+000,
2.306327012079619e-001},{1.145551746011481e+002,1.590751402734798e+001,
2.504820150180328e+000,2.339568479963077e-001},{1.196071879274800e+002,
1.634031428204418e+001,2.547304783567245e+000,2.372813206159512e-001},{
1.248813064046870e+002,1.678468557395838e+001,2.590218919465339e+000,
2.406057414176631e-001},{1.303872537968743e+002,1.724093475889964e+001,
2.633566376628655e+000,2.439297408582211e-001},{1.361351893482151e+002,
1.770937668244954e+001,2.677351009715642e+000,2.472529573723386e-001},{
1.421357200157020e+002,1.819033445609385e+001,2.721576709359743e+000,
2.505750372458958e-001},{1.483999250325510e+002,1.868413966908177e+001,
2.766247402420666e+000,2.538956344906715e-001},{1.549393793818828e+002,
1.919113263274907e+001,2.811367052239077e+000,2.572144107206163e-001},{
1.617661691499202e+002,1.971166267036393e+001,2.856939658935786e+000,
2.605310350297162e-001},{1.688929248323650e+002,2.024608833018471e+001,
2.902969259872029e+000,2.638451838715473e-001},{1.763328352717475e+002,
2.079477771318220e+001,2.949459930036376e+000,2.671565409405210e-001},{
1.840996840769975e+002,2.135810869815029e+001,2.996415782636564e+000,
2.704647970548957e-001},{1.922078676314314e+002,2.193646927847552e+001,
3.043840969616666e+000,2.737696500416193e-001},{2.006724283454303e+002,
2.253025783125822e+001,3.091739682337686e+000,2.770708046228763e-001},{
2.095090814552011e+002,2.313988343722962e+001,3.140116152252167e+000,
2.803679723045419e-001},{2.187342515473353e+002,2.376576617580840e+001,
3.188974651669187e+000,2.836608712664611e-001},{2.283650918868312e+002,
2.440833750459543e+001,3.238319494505725e+000,2.869492262544885e-001},{
2.384195342056883e+002,2.506804051982763e+001,3.288155037218739e+000,
2.902327684744187e-001},{2.489163138911711e+002,2.574533035608010e+001,
3.338485679629001e+000,2.935112354877263e-001},{2.598750056133280e+002,
2.644067453977188e+001,3.389315865882125e+000,2.967843711090281e-001},{
2.713160677769612e+002,2.715455332610006e+001,3.440650085468187e+000,
3.000519253054244e-001},{2.832608847937721e+002,2.788746007968089e+001,
3.492492874226473e+000,3.033136540975304e-001},{2.957317919551732e+002,
2.863990172314495e+001,3.544848815373224e+000,3.065693194622797e-001},{
3.087521441999503e+002,2.941239903121475e+001,3.597722540707405e+000,
3.098186892373309e-001},{3.223463482749902e+002,3.020548711562214e+001,
3.651118731652995e+000,3.130615370273069e-001},{3.365398966901275e+002,
3.101971587811786e+001,3.705042120439269e+000,3.162976421114645e-001},{
3.513594557285981e+002,3.185565030489221e+001,3.759497491412099e+000,
3.195267893531296e-001},{3.668328823476213e+002,3.271387106452257e+001,
3.814489682103804e+000,3.227487691105892e-001},{3.829892914752884e+002,
3.359497489941416e+001,3.870023584585280e+000,3.259633771495039e-001},{
3.998591128097355e+002,3.449957509744066e+001,3.926104146732770e+000,
3.291704145568308e-001},{4.174741627149792e+002,3.542830194413114e+001,
3.982736373535119e+000,3.323696876561623e-001},{4.358676805476378e+002,
3.638180331176448e+001,4.039925328339042e+000,3.355610079244262e-001},{
4.550744161800611e+002,3.736074507936995e+001,4.097676134274746e+000,
3.387441919099929e-001},{4.751306901524957e+002,3.836581169669577e+001,
4.155993975546389e+000,3.419190611519825e-001},{4.960744587857732e+002,
3.939770673337638e+001,4.214884098795508e+000,3.450854421009716e-001},{
5.179454167679796e+002,4.045715335623541e+001,4.274351814507482e+000,
3.482431660408029e-001},{5.407850064016650e+002,4.154489509408396e+001,
4.334402498261381e+000,3.513920690115978e-001},{5.646366068557300e+002,
4.266169608345259e+001,4.395041592346873e+000,3.545319917339359e-001},{
5.895455040095308e+002,4.380834204753403e+001,4.456274606836136e+000,
3.576627795341116e-001},{6.155612607453704e+002,4.498563613130256e+001,
4.518107123265989e+000,3.607842822704025e-001},{6.427223576125481e+002,
4.619443542018386e+001,4.580544778714099e+000,3.638963542604584e-001},{
6.711025648658506e+002,4.743553149708603e+001,4.643593333070903e+000,
3.669988542095214e-001},{7.007318473518636e+002,4.870987626352949e+001,
4.707258525584453e+000,3.700916451436019e-001},{7.316684143282685e+002,
5.001834629107649e+001,4.771546260300777e+000,3.731745943241331e-001},{
7.639419550281848e+002,5.136190630000230e+001,4.836462461289155e+000,
3.762475732019301e-001},{7.981063801427506e+002,5.274052724808852e+001,
4.902013540645013e+000,3.793104573307563e-001},{8.326445111213358e+002,
5.415893280165836e+001,4.968203781164648e+000,3.823631262876042e-001},{
8.700148252485711e+002,5.561171210577200e+001,5.035043285535354e+000,
3.854054635554983e-001},{9.083445124296225e+002,5.710569757459630e+001,
5.102533934520626e+000,3.884373570657309e-001},{9.485314487146718e+002,
5.863925936997953e+001,5.170684545601461e+000,3.914586976410323e-001},{
9.905087195242919e+002,6.021400337316415e+001,5.239500994607786e+000,
3.944693805727305e-001},{1.034356723979786e+003,6.183105555221405e+001,
5.308989797804546e+000,3.974693046888213e-001},{1.080159595815648e+003,
6.349157319187947e+001,5.379157557964565e+000,4.004583724710528e-001},{
1.128005029381322e+003,6.519674650368150e+001,5.450010965169889e+000,
4.034364899924996e-001},{1.177984892396054e+003,6.694779842280083e+001,
5.521556798559543e+000,4.064035668556144e-001},{1.230194856555584e+003,
6.874598675922586e+001,5.593801926683446e+000,4.093595161310650e-001},{
1.284735013104745e+003,7.059260392256267e+001,5.666753309253390e+000,
4.123042542968513e-001},{1.343063556661926e+003,7.248693578584985e+001,
5.740418684403948e+000,4.152377011781763e-001},{1.405790811881685e+003,
7.442887970010709e+001,5.814805784873986e+000,4.181597798876019e-001},{
1.473628412214821e+003,7.641766308616965e+001,5.889923696754936e+000,
4.210704167656976e-001},{1.547407873141551e+003,7.866215579136075e+001,
5.972913138476412e+000,4.242404029888886e-001},{1.626876447829412e+003,
8.101582333818058e+001,6.058368241520675e+000,4.274553962053971e-001},{
1.710703024156860e+003,8.348992183014360e+001,6.146409820007483e+000,
4.307167462684176e-001},{1.802548130038754e+003,8.608556958507408e+001,
6.237172430960432e+000,4.340258706136082e-001},{1.900281151393451e+003,
8.881903955788455e+001,6.330791655209080e+000,4.373842594703591e-001},{
2.005807564700644e+003,9.169671712011228e+001,6.427420948078083e+000,
4.407934798537481e-001},{2.119670462816548e+003,9.473022727133676e+001,
6.527221444915404e+000,4.442551829095661e-001},{2.242730739132749e+003,
9.793155623939180e+001,6.630367354240099e+000,4.477711093076878e-001},{
2.375959842441208e+003,1.013138933328462e+002,6.737046497801452e+000,
4.513430963808632e-001},{2.520456586920368e+003,1.048917812479968e+002,
6.847461700925177e+000,4.549730857610047e-001},{2.677467781456748e+003,
1.086812872066808e+002,6.961832360108455e+000,4.586631318040276e-001},{
2.848411757693430e+003,1.127002025269144e+002,7.080396212881112e+000,
4.624154109045756e-001},{3.034907040997281e+003,1.169682716660580e+002,
7.203411344095176e+000,4.662322318172513e-001},{3.238806348401873e+003,
1.215074586972124e+002,7.331158464655384e+000,4.701160471199219e-001},{
3.462237522477920e+003,1.263422571775514e+002,7.463943508185539e+000,
4.740694659762597e-001},{3.707652735358812e+003,1.315000523822533e+002,
7.602100598730761e+000,4.780952683808143e-001},{3.977888247502366e+003,
1.370115455154723e+002,7.745995453845659e+000,4.821964211012325e-001},{
4.276236889578777e+003,1.429112533343024e+002,7.896029299613393e+000,
4.863760955695669e-001},{4.606537129126736e+003,1.492380973967760e+002,
8.052643391311207e+000,4.906376880197965e-001},{4.973281708728467e+003,
1.560361047391914e+002,8.216324251440401e+000,4.949848422233832e-001},{
5.381752513871990e+003,1.633552406824528e+002,8.387609764809310e+000,
4.994214752410864e-001},{5.838187327949046e+003,1.712524067572989e+002,
8.567096297611432e+000,5.039518066908266e-001},{6.350807137284905e+003,
1.797913262134226e+002,8.755447517735441e+000,5.085803921309421e-001},{
6.925260369284571e+003,1.890530284782858e+002,8.953400783448563e+000,
5.133121612816783e-001},{7.577609824964002e+003,1.991109013463354e+002,
9.161790857189885e+000,5.181524619605371e-001},{8.315968280243349e+003,
2.100768343459340e+002,9.381540170293199e+000,5.231071115480921e-001},{
9.158060724816223e+003,2.220603128331959e+002,9.613703198825842e+000,
5.281824536278080e-001},{1.012263317307919e+004,2.351976050029865e+002,
9.859467222735550e+000,5.333854293394884e-001},{1.123327851126173e+004,
2.496472646859635e+002,1.012018401525426e+001,5.387236561640729e-001},{
1.251933369982379e+004,2.655964641799241e+002,1.039739833055877e+001,
5.442055229446516e-001},{1.401759699687882e+004,2.832674508259391e+002,
1.069288439806393e+001,5.498403020789378e-001},{1.577465893041188e+004,
3.029257728808081e+002,1.100869114048111e+001,5.556382833229867e-001},{
1.785011289937452e+004,3.248908324502644e+002,1.134719868472852e+001,
5.616109344677590e-001},{2.032103368180682e+004,3.495495532976501e+002,
1.171118962875876e+001,5.677710957231201e-001},{2.328832453018373e+004,
3.773742333550699e+002,1.210393982355082e+001,5.741332167790789e-001},{
2.688585484152241e+004,4.089460996964476e+002,1.252933527138577e+001,
5.807136484549550e-001},{3.129385590668408e+004,4.449866873513151e+002,
1.299202446564990e+001,5.875310049495469e-001},{3.675989831311496e+004,
4.863985403526961e+002,1.349762008289207e+001,5.946066185193436e-001},{
4.362525762024865e+004,5.343309081037533e+002,1.405296523588706e+001,
6.019651167819491e-001},{5.238361908669422e+004,5.902358641369289e+002,
1.466651102006858e+001,6.096351651125723e-001},{6.374468368510970e+004,
6.560106923559654e+002,1.534880715327808e+001,6.176504358167559e-001},{
7.877675453751416e+004,7.341156222195222e+002,1.611324444329973e+001,
6.260508899137485e-001},{9.912569226684302e+004,8.277977359185787e+002,
1.697708892301073e+001,6.348845111387733e-001},{1.274244982488466e+005,
9.413602952665652e+002,1.796305186238983e+001,6.442096900359834e-001},{
1.680683685966994e+005,1.080502797828005e+003,1.910170745210420e+001,
6.540985866240503e-001},{2.287813361407409e+005,1.252634522697668e+003,
2.043539039017945e+001,6.646420006807282e-001},{3.240258081936964e+005,
1.466745135891141e+003,2.202482398980625e+001,6.759566538738161e-001},{
4.831368343637143e+005,1.731166540009913e+003,2.396123098126818e+001,
6.881964979202373e-001},{7.431179345815331e+005,2.088970442340921e+003,
2.637425972841378e+001,7.015710980094142e-001},{1.189850152483235e+006,
2.623880187705014e+003,2.946733032297955e+001,7.163772638856115e-001},{
2.026594777734833e+006,3.525448589659171e+003,3.356057915998095e+001,
7.330575520262048e-001},{3.751171121950996e+006,3.860303175516215e+003,
3.792933932492554e+001,7.472071449747023e-001},{7.724209728178185e+006,
3.466433188520202e+003,4.418715889618908e+001,7.632728136051334e-001},{
1.704546786687731e+007,2.883198938498763e+003,5.372439594779554e+001,
7.828757764751581e-001},{3.866227285949533e+007,6.044071408154451e+003,
6.745335104083873e+001,8.059157661363587e-001},{8.834871476634434e+007,
1.351199514790031e+004,8.499422051220881e+001,8.277377240352702e-001},{
2.176025209942091e+008,1.094228648933841e+004,1.064266208208614e+002,
8.459822722289890e-001},{5.417031709599584e+008,-1.429287025490565e+004,
1.349265846505103e+002,8.629254292602316e-001},{1.260427879479906e+009,
-1.145901868204451e+004,1.733305321359170e+002,8.814128590616269e-001},
{2.813184466308078e+009,2.559435030649040e+005,2.304564317758250e+002,
9.042234397623542e-001},{5.626351338748589e+009,4.809820508206572e+005,
2.799571429006732e+002,9.167366942666617e-001},{1.296968662926528e+010,
1.817347953863243e+005,3.184401164168030e+002,9.225727665578075e-001},{
3.830247925197880e+010,-6.819911380346881e+005,4.005374222642562e+002,
9.326388658049110e-001},{1.287778778901221e+011,-3.655758707469311e+006,
5.430609568313491e+002,9.435863614001090e-001},{4.268494326672124e+011,
-3.288472239150366e+006,7.033859556657586e+002,9.579454741567478e-001},
{1.034173853201191e+012,4.083865055613008e+006,8.820734693646336e+002,
9.677749072712484e-001},{7.360535318331335e+015,-4.520887554536115e+010,
6.939753852333379e+004,9.741584695812871e-001}};
constant Real[Ninterval, 4] dlcoef={{-1.238492681682227e+010,
2.155273044551285e+006,-4.784064764172629e+002,3.108234546713846e+000},
{-1.105429598046165e+010,2.040848348264662e+006,-4.669490356904236e+002,
3.106950869117842e+000},{-9.690084649689146e+009,1.940606112928544e+006,
-4.575230025626220e+002,3.105872508783625e+000},{-8.318064398350635e+009,
1.756735969737722e+006,-4.369950152503960e+002,3.103417366473883e+000},
{-7.140296347581058e+009,1.590320343200648e+006,-4.174017246617847e+002,
3.100944868392514e+000},{-6.129570508708958e+009,1.439711927840652e+006,
-3.987007300239189e+002,3.098454883787075e+000},{-5.261965140039352e+009,
1.303395508058584e+006,-3.808503361523602e+002,3.095947126307966e+000},
{-4.517289395063499e+009,1.180016669264855e+006,-3.638116590837542e+002,
3.093421411830455e+000},{-3.878070615519906e+009,1.068342896840991e+006,
-3.475472372378163e+002,3.090877503680521e+000},{-3.329405690851281e+009,
9.672641008273838e+005,-3.320217101263023e+002,3.088315215846500e+000},
{-2.858440705800047e+009,8.757716096217774e+005,-3.172010279329125e+002,
3.085734309672665e+000},{-2.454126160678405e+009,7.929540898201873e+005,
-3.030530265360140e+002,3.083134597151535e+000},{-2.107077441640843e+009,
7.179881425904200e+005,-2.895465270173005e+002,3.080515785796512e+000},
{-1.809136833923553e+009,6.501257495370673e+005,-2.766520552391303e+002,
3.077877633663473e+000},{-1.553367992062939e+009,5.886942597143862e+005,
-2.643417895971250e+002,3.075219949428117e+000},{-1.333788491394850e+009,
5.330816167622649e+005,-2.525887134919396e+002,3.072542437056091e+000},
{-1.145286689441753e+009,4.827368491822371e+005,-2.413675362576479e+002,
3.069844902846438e+000},{-9.842004535366566e+008,4.371863251742306e+005,
-2.306539304447653e+002,3.067127048225000e+000},{-8.481738668343931e+008,
3.960467172138331e+005,-2.204253861258150e+002,3.064388625095322e+000},
{-7.331751535883956e+008,3.589111400199431e+005,-2.106602384512079e+002,
3.061629384019479e+000},{-6.358170209106354e+008,3.259263366450451e+005,
-2.015181373167670e+002,3.058904739456489e+000},{-5.528785395381644e+008,
2.973604756002514e+005,-1.932383784377713e+002,3.056307824467903e+000},
{-4.812120579273270e+008,2.714695510765162e+005,-1.853567632253349e+002,
3.053709701944857e+000},{-4.192283489842466e+008,2.479880869216736e+005,
-1.778517183038584e+002,3.051110359095722e+000},{-3.655664548207343e+008,
2.266781162415372e+005,-1.707029553047223e+002,3.048509783002060e+000},
{-3.190676294329081e+008,2.073267347249426e+005,-1.638913968450548e+002,
3.045907960618840e+000},{-2.787357163663924e+008,1.897427160373918e+005,
-1.573990874235835e+002,3.043304878774594e+000},{-2.437229798017070e+008,
1.737549055396368e+005,-1.512091344388983e+002,3.040700524171564e+000},
{-2.132978996593800e+008,1.592092608304189e+005,-1.453056252302879e+002,
3.038094883385813e+000},{-1.868371040328432e+008,1.459677646993695e+005,
-1.396735798552919e+002,3.035487942867281e+000},{-1.638025501528403e+008,
1.339061001971329e+005,-1.342988785546285e+002,3.032879688939840e+000},
{-1.437323978319605e+008,1.229125376644445e+005,-1.291682166376668e+002,
3.030270107801310e+000},{-1.262309428194057e+008,1.128866441350699e+005,
-1.242690519881137e+002,3.027659185523409e+000},{-1.109546795986899e+008,
1.037377107884577e+005,-1.195895502947782e+002,3.025046908051736e+000},
{-9.761012432391328e+007,9.538426669141714e+004,-1.151185537187768e+002,
3.022433261205660e+000},{-8.594246238515522e+007,8.775266482730758e+004,
-1.108455268357315e+002,3.019818230678227e+000},{-7.573256602113859e+007,
8.077656161927809e+004,-1.067605270066560e+002,3.017201802035995e+000},
{-6.679050808234609e+007,7.439599879519979e+004,-1.028541631348516e+002,
3.014583960718893e+000},{-5.895272357387779e+007,6.855689098463632e+004,
-9.911756599444276e+001,3.011964692039987e+000},{-5.207642434522393e+007,
6.321021881030477e+004,-9.554235139999366e+001,3.009343981185272e+000},
{-4.603952482299992e+007,5.831185001665622e+004,-9.212060006254087e+001,
3.006721813213399e+000},{-4.073465329002590e+007,5.382164282445671e+004,
-8.884481728610524e+001,3.004098173055394e+000},{-3.606947830186065e+007,
4.970338252471794e+004,-8.570791975358135e+001,3.001473045514342e+000},
{-3.196365751713583e+007,4.592422769921850e+004,-8.270320400275625e+001,
2.998846415265044e+000},{-2.834709613390578e+007,4.245437522415161e+004,
-7.982432520669138e+001,2.996218266853638e+000},{-2.515904141651271e+007,
3.926683364274947e+004,-7.706527859170076e+001,2.993588584697207e+000},
{-2.234661006197257e+007,3.633710429345421e+004,-7.442037731654195e+001,
2.990957353083351e+000},{-1.986350933749488e+007,3.364291054328384e+004,
-7.188423367010003e+001,2.988324556169726e+000},{-1.766954634469551e+007,
3.116404764577806e+004,-6.945174434254167e+001,2.985690177983576e+000},
{-1.572958710525628e+007,2.888213723781383e+004,-6.711807172295707e+001,
2.983054202421209e+000},{-1.401292644023167e+007,2.678046159635360e+004,
-6.487862947013215e+001,2.980416613247471e+000},{-1.249270190404953e+007,
2.484380595914790e+004,-6.272906834224337e+001,2.977777394095186e+000},
{-1.114546757050897e+007,2.305832820575798e+004,-6.066526313144936e+001,
2.975136528464554e+000},{-9.950639193150809e+006,2.141140730200463e+004,
-5.868329902325385e+001,2.972493999722552e+000},{-8.890218298855454e+006,
1.989154845489648e+004,-5.677946086303228e+001,2.969849791102278e+000},
{-7.948405774843407e+006,1.848826513773720e+004,-5.495022127059669e+001,
2.967203885702293e+000},{-7.111322017747801e+006,1.719198739978693e+004,
-5.319223050409758e+001,2.964556266485915e+000},{-6.366802347563332e+006,
1.599398533656803e+004,-5.150230698139536e+001,2.961906916280511e+000},
{-5.704155755187705e+006,1.488628445368870e+004,-4.987742750713409e+001,
2.959255817776730e+000},{-5.113936916982337e+006,1.386158907991517e+004,
-4.831471847609879e+001,2.956602953527748e+000},{-4.587897845661234e+006,
1.291324557621612e+004,-4.681144900015597e+001,2.953948305948456e+000},
{-4.118721316950063e+006,1.203515316230080e+004,-4.536502121962786e+001,
2.951291857314630e+000},{-3.699968686669407e+006,1.122173374498905e+004,
-4.397296471188466e+001,2.948633589762085e+000},{-3.325990419032289e+006,
1.046788709710375e+004,-4.263292938338680e+001,2.945973485285792e+000},
{-2.991756337877007e+006,9.768928695956120e+003,-4.134267792650781e+001,
2.943311525738965e+000},{-2.692851052844252e+006,9.120574676046892e+003,
-4.010008148277442e+001,2.940647692832129e+000},{-2.425364090781395e+006,
8.518894238993196e+003,-3.890311277023815e+001,2.937981968132176e+000},
{-2.185839011929014e+006,7.960282125333197e+003,-3.774984110719230e+001,
2.935314333061347e+000},{-1.971208238001473e+006,7.441427276955104e+003,
-3.663842719615118e+001,2.932644768896239e+000},{-1.778765554998854e+006,
6.959293235989100e+003,-3.556711877550735e+001,2.929973256766761e+000},
{-1.606107055594805e+006,6.511088393081703e+003,-3.453424555743582e+001,
2.927299777655057e+000},{-1.451097834519724e+006,6.094246543433254e+003,
-3.353821526499588e+001,2.924624312394422e+000},{-1.311849093123074e+006,
5.706410424466297e+003,-3.257750979381026e+001,2.921946841668166e+000},
{-1.186680867573490e+006,5.345410405839227e+003,-3.165068106360730e+001,
2.919267346008474e+000},{-1.074098219451101e+006,5.009249251722629e+003,
-3.075634760904577e+001,2.916585805795216e+000},{-9.727750675061081e+005,
4.696089510241781e+003,-2.989319134752533e+001,2.913902201254751e+000},
{-8.815305960940811e+005,4.404238143974260e+003,-2.905995415563471e+001,
2.911216512458684e+000},{-7.993100073168422e+005,4.132133894522016e+003,
-2.825543489024561e+001,2.908528719322610e+000},{-7.251808108065209e+005,
3.878340434733169e+003,-2.747848687199868e+001,2.905838801604811e+000},
{-6.583036582047840e+005,3.641529386009533e+003,-2.672801450587870e+001,
2.903146738904952e+000},{-5.979351488970650e+005,3.420477830640781e+003,
-2.600297151102254e+001,2.900452510662714e+000},{-5.434106276898081e+005,
3.214056119358886e+003,-2.530235797279994e+001,2.897756096156425e+000},
{-4.941345433408149e+005,3.021220273636314e+003,-2.462521817165470e+001,
2.895057474501652e+000},{-4.495775001488223e+005,2.841007253447881e+003,
-2.397063865119245e+001,2.892356624649757e+000},{-4.092637696142438e+005,
2.672525730358106e+003,-2.333774582158626e+001,2.889653525386433e+000},
{-3.727690426212300e+005,2.514952386918597e+003,-2.272570432440947e+001,
2.886948155330209e+000},{-3.397130883384123e+005,2.367525415691009e+003,
-2.213371501440320e+001,2.884240492930909e+000},{-3.097553540585333e+005,
2.229539894807050e+003,-2.156101328018909e+001,2.881530516468100e+000},
{-2.825898974603600e+005,2.100342961405521e+003,-2.100686736953992e+001,
2.878818204049503e+000},{-2.579442208981614e+005,1.979331007278646e+003,
-2.047057696315193e+001,2.876103533609366e+000},{-2.355710977468511e+005,
1.865943220530542e+003,-1.995147135640385e+001,2.873386482906805e+000},
{-2.152510718952486e+005,1.759661471895166e+003,-1.944890854277082e+001,
2.870667029524125e+000},{-1.967854522379427e+005,1.660004272608494e+003,
-1.896227340604679e+001,2.867945150865090e+000},{-1.799963227248120e+005,
1.566525526716963e+003,-1.849097676756957e+001,2.865220824153183e+000},
{-1.647232316787083e+005,1.478811021808096e+003,-1.803445403318663e+001,
2.862494026429800e+000},{-1.508223569587723e+005,1.396476642378965e+003,
-1.759216415836827e+001,2.859764734552452e+000},{-1.381636164814771e+005,
1.319165275775219e+003,-1.716358843294191e+001,2.857032925192887e+000},
{-1.266302756204947e+005,1.246545535418823e+003,-1.674822959952733e+001,
2.854298574835218e+000},{-1.161168631137604e+005,1.178309260666872e+003,
-1.634561076107631e+001,2.851561659773991e+000},{-1.065283929681333e+005,
1.114170085655529e+003,-1.595527452413494e+001,2.848822156112222e+000},
{-9.777902898360457e+004,1.053861608696577e+003,-1.557678207604774e+001,
2.846080039759405e+000},{-8.979154479537536e+004,9.971361867131301e+002,
-1.520971239323694e+001,2.843335286429471e+000},{-8.249581780149181e+004,
9.437630558793404e+002,-1.485366135803301e+001,2.840587871638727e+000},
{-7.582881406187733e+004,8.935276800414810e+002,-1.450824112401567e+001,
2.837837770703734e+000},{-6.973331684484918e+004,8.462300547482139e+002,
-1.417307927722939e+001,2.835084958739184e+000},{-6.415772301025310e+004,
8.016839926065475e+002,-1.384781823535527e+001,2.832329410655682e+000},
{-5.905519971849246e+004,7.597158559545809e+002,-1.353211453405775e+001,
2.829571101157552e+000},{-5.438340177539967e+004,7.201638399218540e+002,
-1.322563825532957e+001,2.826810004740545e+000},{-5.010398989213503e+004,
6.828770586818224e+002,-1.292807241099001e+001,2.824046095689559e+000},
{-4.618216375504041e+004,6.477146970338505e+002,-1.263911237047971e+001,
2.821279348076278e+000},{-4.258637278865216e+004,6.145453580284924e+002,
-1.235846534594279e+001,2.818509735756785e+000},{-3.928799334523628e+004,
5.832463833869973e+002,-1.208584987510642e+001,2.815737232369135e+000},
{-3.626107008446607e+004,5.537032511254856e+002,-1.182099533490190e+001,
2.812961811330881e+000},{-3.348198605783714e+004,5.258089299140838e+002,
-1.156364146280048e+001,2.810183445836552e+000},{-3.092930799948825e+004,
4.994634350699143e+002,-1.131353793886240e+001,2.807402108855102e+000},
{-2.858356718774496e+004,4.745733110816813e+002,-1.107044395139554e+001,
2.804617773127295e+000},{-2.642699292972316e+004,4.510511035622531e+002,
-1.083412778305086e+001,2.801830411163054e+000},{-2.444349338561342e+004,
4.288151035012024e+002,-1.060436646834351e+001,2.799039995238765e+000},
{-2.261838452021139e+004,4.077888022404431e+002,-1.038094537815669e+001,
2.796246497394526e+000},{-2.093827593537573e+004,3.879005747406519e+002,
-1.016365789510950e+001,2.793449889431356e+000},{-1.939098963577922e+004,
3.690833932437830e+002,-9.952305091079492e+000,2.790650142908357e+000},
{-1.796543440841462e+004,3.512744857770907e+002,-9.746695394200888e+000,
2.787847229139806e+000},{-1.665145478671165e+004,3.344149940989051e+002,
-9.546644276491429e+000,2.785041119192228e+000},{-1.543982996581212e+004,
3.184498209919203e+002,-9.351973998366489e+000,2.782231783881397e+000},
{-1.432210669598613e+004,3.033272642915332e+002,-9.162513291636291e+000,
2.779419193769276e+000},{-1.329059840415068e+004,2.889988870529622e+002,
-8.978097130361970e+000,2.776603319160937e+000},{-1.233825052722389e+004,
2.754192080986946e+002,-8.798566446195549e+000,2.773784130101386e+000},
{-1.145863709207734e+004,2.625455884031810e+002,-8.623767918906500e+000,
2.770961596372379e+000},{-1.064587614821500e+004,2.503379954642477e+002,
-8.453553723390042e+000,2.768135687489127e+000},{-9.894583021419403e+003,
2.387588397329175e+002,-8.287781316214854e+000,2.765306372696999e+000},
{-9.199834391098546e+003,2.277728276390388e+002,-8.126313229068519e+000,
2.762473620968123e+000},{-8.557121363365739e+003,2.173468013975267e+002,
-7.969016862161412e+000,2.759637400997958e+000},{-7.962313251536238e+003,
2.074496022604224e+002,-7.815764293296074e+000,2.756797681201794e+000},
{-7.411623241071581e+003,1.980519411509770e+002,-7.666432093866367e+000,
2.753954429711179e+000},{-6.901589290252236e+003,1.891262933062386e+002,
-7.520901156344275e+000,2.751107614370310e+000},{-6.429018668504029e+003,
1.806467434145949e+002,-7.379056511362362e+000,2.748257202732345e+000},
{-5.991001909044038e+003,1.725889472108416e+002,-7.240787192269098e+000,
2.745403162055639e+000},{-5.584856439473709e+003,1.649299712560422e+002,
-7.105986051583309e+000,2.742545459299940e+000},{-5.208118092244479e+003,
1.576482310857538e+002,-6.974549631033893e+000,2.739684061122499e+000},
{-4.858536339451712e+003,1.507234256770707e+002,-6.846378022696069e+000,
2.736818933874121e+000},{-4.534025576845524e+003,1.441364021997527e+002,
-6.721374710980710e+000,2.733950043595136e+000},{-4.232680321240590e+003,
1.378691440330893e+002,-6.599446472802768e+000,2.731077356011313e+000},
{-3.952748909345426e+003,1.319046712312123e+002,-6.480503232709889e+000,
2.728200836529692e+000},{-3.692609478366457e+003,1.262269600752981e+002,
-6.364457941874171e+000,2.725320450234344e+000},{-3.450780099779326e+003,
1.208209269116236e+002,-6.251226483812403e+000,2.722436161882055e+000},
{-3.225890664374303e+003,1.156723332618167e+002,-6.140727542679162e+000,
2.719547935897942e+000},{-3.016682125991474e+003,1.107677541103619e+002,
-6.032882511285902e+000,2.716655736370977e+000},{-2.821990248596265e+003,
1.060945140428862e+002,-5.927615383023561e+000,2.713759527049444e+000},
{-2.640746879338374e+003,1.016406614326807e+002,-5.824852664925329e+000,
2.710859271336301e+000},{-2.471964523626565e+003,9.739490626074014e+001,
-5.724523273535363e+000,2.707954932284481e+000},{-2.314730837568900e+003,
9.334658567014867e+001,-5.626558451896237e+000,2.705046472592083e+000},
{-2.168208526525156e+003,8.948563835359066e+001,-5.530891688550211e+000,
2.702133854597495e+000},{-2.031619097394213e+003,8.580254532064717e+001,
-5.437458623108411e+000,2.699217040274426e+000},{-1.904248100892504e+003,
8.228832275596824e+001,-5.346196983339631e+000,2.696295991226843e+000},
{-1.785432953219038e+003,7.893447181267172e+001,-5.257046496811301e+000,
2.693370668683814e+000},{-1.674562836953798e+003,7.573296108764812e+001,
-5.169948826535308e+000,2.690441033494273e+000},{-1.571072232234745e+003,
7.267619282823553e+001,-5.084847496875256e+000,2.687507046121676e+000},
{-1.474438413222446e+003,6.975698100090553e+001,-5.001687829570725e+000,
2.684568666638568e+000},{-1.384177903371559e+003,6.696852671757033e+001,
-4.920416878738944e+000,2.681625854721034e+000},{-1.299843535198407e+003,
6.430439600004813e+001,-4.840983369252954e+000,2.678678569643088e+000},
{-1.221020634106669e+003,6.175849648989043e+001,-4.763337636576003e+000,
2.675726770270898e+000},{-1.147326026570235e+003,5.932506215554464e+001,
-4.687431572745481e+000,2.672770415056979e+000},{-1.078404076039887e+003,
5.699863018706918e+001,-4.613218568350649e+000,2.669809462034204e+000},
{-1.013926021509312e+003,5.477402792669884e+001,-4.540653463065229e+000,
2.666843868809767e+000},{-9.535859458173311e+002,5.264635101631857e+001,
-4.469692491629795e+000,2.663873592558998e+000},{-8.971017903285012e+002,
5.061095614294467e+001,-4.400293240651299e+000,2.660898590019072e+000},
{-8.442100723223150e+002,4.866343605671213e+001,-4.332414594549864e+000,
2.657918817482606e+000},{-7.946678515348818e+002,4.679961714885733e+001,
-4.266016699189970e+000,2.654934230791131e+000},{-7.482488676648289e+002,
4.501553841960071e+001,-4.201060911438582e+000,2.651944785328449e+000},
{-7.047431728617579e+002,4.330744315658079e+001,-4.137509761479857e+000,
2.648950436013851e+000},{-6.639558744821053e+002,4.167176730429927e+001,
-4.075326912123187e+000,2.645951137295226e+000},{-6.257057100641964e+002,
4.010512796775672e+001,-4.014477119746307e+000,2.642946843142023e+000},
{-5.898246346182218e+002,3.860431527293839e+001,-3.954926198543035e+000,
2.639937507038096e+000},{-5.561557244035386e+002,3.716627939672841e+001,
-3.896640982412575e+000,2.636923081974399e+000},{-5.245536700749274e+002,
3.578812653072018e+001,-3.839589294597946e+000,2.633903520441549e+000},
{-4.948831814045453e+002,3.446710725683307e+001,-3.783739911111038e+000,
2.630878774422248e+000},{-4.670181331795835e+002,3.320060869244811e+001,
-3.729062529754870e+000,2.627848795383549e+000},{-4.408411680577592e+002,
3.198614837687174e+001,-3.675527740772351e+000,2.624813534268998e+000},
{-4.162434320780575e+002,3.082136815496841e+001,-3.623106997289613e+000,
2.621772941490593e+000},{-3.931227261553422e+002,2.970402334199991e+001,
-3.571772583810418e+000,2.618726966920612e+000},{-3.713848005366851e+002,
2.863198333302012e+001,-3.521497594697411e+000,2.615675559883269e+000},
{-3.509411299166285e+002,2.760321878319193e+001,-3.472255900926836e+000,
2.612618669146214e+000},{-3.317092974307500e+002,2.661580012155591e+001,
-3.424022129678430e+000,2.609556242911867e+000},{-3.136127904025766e+002,
2.566789269818100e+001,-3.376771639026537e+000,2.606488228808575e+000},
{-2.965798073836402e+002,2.475774875702146e+001,-3.330480491611001e+000,
2.603414573881601e+000},{-2.805435913300593e+002,2.388370594280104e+001,
-3.285125435370047e+000,2.600335224583943e+000},{-2.654419571434289e+002,
2.304418190389038e+001,-3.240683879734343e+000,2.597250126766951e+000},
{-2.512164673588557e+002,2.223766834090091e+001,-3.197133873379682e+000,
2.594159225670773e+000},{-2.378128746065777e+002,2.146273034130477e+001,
-3.154454087136033e+000,2.591062465914610e+000},{-2.251804620611885e+002,
2.071800061360175e+001,-3.112623791404769e+000,2.587959791486772e+000},
{-2.132716404393391e+002,2.000217565128110e+001,-3.071622837510624e+000,
2.584851145734526e+000},{-2.020422322936485e+002,1.931401462635231e+001,
-3.031431641412206e+000,2.581736471353761e+000},{-1.914506566618751e+002,
1.865233349451230e+001,-2.992031162913385e+000,2.578615710378421e+000},
{-1.814582337456608e+002,1.801600450360726e+001,-2.953402891597071e+000,
2.575488804169740e+000},{-1.720286483594544e+002,1.740395163665135e+001,
-2.915528828069439e+000,2.572355693405244e+000},{-1.631280051948557e+002,
1.681514914240465e+001,-2.878391469604711e+000,2.569216318067544e+000},
{-1.547245214939870e+002,1.624861828468630e+001,-2.841973793789774e+000,
2.566070617432879e+000},{-1.467885075935258e+002,1.570342560672776e+001,
-2.806259244455594e+000,2.562918530059438e+000},{-1.392920759633892e+002,
1.517867995891996e+001,-2.771231716523010e+000,2.559759993775438e+000},
{-1.322092377618008e+002,1.467353144997319e+001,-2.736875543385945e+000,
2.556594945666950e+000},{-1.255154520422071e+002,1.418716782019382e+001,
-2.703175481732913e+000,2.553423322065465e+000},{-1.191879144732180e+002,
1.371881463196889e+001,-2.670116701239096e+000,2.550245058535220e+000},
{-1.132051254329855e+002,1.326773160149195e+001,-2.637684769449511e+000,
2.547060089860237e+000},{-1.075469689833722e+002,1.283321196746067e+001,
-2.605865641505036e+000,2.543868350031094e+000},{-1.021945855468274e+002,
1.241458057792133e+001,-2.574645647887416e+000,2.540669772231418e+000},
{-9.713024121213921e+001,1.201119215362063e+001,-2.544011483057522e+000,
2.537464288824097e+000},{-9.233735633732306e+001,1.162243039375014e+001,
-2.513950195251489e+000,2.534251831337175e+000},{-8.780030483853737e+001,
1.124770586654619e+001,-2.484449174984496e+000,2.531032330449471e+000},
{-8.350447678244254e+001,1.088645546210887e+001,-2.455496146003123e+000,
2.527805715975874e+000},{-7.943610746442556e+001,1.053814048023886e+001,
-2.427079154442550e+000,2.524571916852306e+000},{-7.558228169765363e+001,
1.020224588737254e+001,-2.399186560121682e+000,2.521330861120392e+000},
{-7.193088597970828e+001,9.878279171064129e+000,-2.371807027150768e+000,
2.518082475911769e+000},{-6.847048516239306e+001,9.565768889163360e+000,
-2.344929514629048e+000,2.514826687432048e+000},{-6.519039610308946e+001,
9.264264386688476e+000,-2.318543269061701e+000,2.511563420944446e+000},
{-6.208052306641781e+001,8.973334052099887e+000,-2.292637814810399e+000,
2.508292600753025e+000},{-5.913139743958612e+001,8.692564973814662e+000,
-2.267202947101239e+000,2.505014150185589e+000},{-5.633408892514787e+001,
8.421561745547976e+000,-2.242228723666145e+000,2.501727991576170e+000},
{-5.368023596268498e+001,8.159946044547962e+000,-2.217705457774197e+000,
2.498434046247153e+000},{-5.116192490033033e+001,7.907355281104470e+000,
-2.193623710100769e+000,2.495132234490955e+000},{-4.877172908422913e+001,
7.663442373803837e+000,-2.169974282641104e+000,2.491822475551334e+000},
{-4.650265985770452e+001,7.427874856171875e+000,-2.146748211408460e+000,
2.488504687604243e+000},{-4.434811779628213e+001,7.200334084917268e+000,
-2.123936759740916e+000,2.485178787738240e+000},{-4.230190317998800e+001,
6.980514860596383e+000,-2.101531412363795e+000,2.481844691934497e+000},
{-4.035816750319500e+001,6.768124621635819e+000,-2.079523868792742e+000,
2.478502315046275e+000},{-3.851139744312152e+001,6.562882936055023e+000,
-2.057906037559458e+000,2.475151570777977e+000},{-3.675639931468597e+001,
6.364520986088379e+000,-2.036670030451280e+000,2.471792371663693e+000},
{-3.508827447219454e+001,6.172781005619186e+000,-2.015808156820983e+000,
2.468424629045237e+000},{-3.350240391913771e+001,5.987415808641527e+000,
-1.995312918218178e+000,2.465048253049681e+000},{-3.199442787158013e+001,
5.808188295000401e+000,-1.975177003091340e+000,2.461663152566335e+000},
{-3.056024706213614e+001,5.634871106705811e+000,-1.955393281837274e+000,
2.458269235223206e+000},{-2.919596443353868e+001,5.467245898489124e+000,
-1.935954801423811e+000,2.454866407362862e+000},{-2.789793559611147e+001,
5.305103425707614e+000,-1.916854781506048e+000,2.451454574017747e+000},
{-2.666269215914849e+001,5.148242631442525e+000,-1.898086608731207e+000,
2.448033638884868e+000},{-2.548697421306633e+001,4.996470669372890e+000,
-1.879643833139071e+000,2.444603504299887e+000},{-2.436770123450288e+001,
4.849602373431799e+000,-1.861520163342853e+000,2.441164071210578e+000},
{-2.330195977537568e+001,4.707459922705984e+000,-1.843709462409692e+000,
2.437715239149616e+000},{-2.228699227843552e+001,4.569872530071029e+000,
-1.826205743845993e+000,2.434256906206701e+000},{-2.132020684497282e+001,
4.436676277522927e+000,-1.809003167843803e+000,2.430788968999998e+000},
{-2.039914018532746e+001,4.307713579632853e+000,-1.792096036957894e+000,
2.427311322646843e+000},{-1.952146936347992e+001,4.182833098600734e+000,
-1.775478792886058e+000,2.423823860733728e+000},{-1.868499316966931e+001,
4.061889380846185e+000,-1.759146012624790e+000,2.420326475285513e+000},
{-1.788763992768876e+001,3.944742723944577e+000,-1.743092405205007e+000,
2.416819056733864e+000},{-1.712743344254924e+001,3.831258705580187e+000,
-1.727312807882854e+000,2.413301493884874e+000},{-1.640252210380573e+001,
3.721308274346385e+000,-1.711802183566103e+000,2.409773673885858e+000},
{-1.571113655820867e+001,3.614767188724737e+000,-1.696555616858599e+000,
2.406235482191265e+000},{-1.505161347050935e+001,3.511516100089723e+000,
-1.681568311719631e+000,2.402686802527732e+000},{-1.442237501501945e+001,
3.411440183535207e+000,-1.666835588003566e+000,2.399127516858194e+000},
{-1.382192281792874e+001,3.314428957926218e+000,-1.652352878705905e+000,
2.395557505345059e+000},{-1.324884440234419e+001,3.220376204778547e+000,
-1.638115727371166e+000,2.391976646312384e+000},{-1.270179534791704e+001,
3.129179660595857e+000,-1.624119785066449e+000,2.388384816207066e+000},
{-1.217950533160762e+001,3.040740960771689e+000,-1.610360808057413e+000,
2.384781889558960e+000},{-1.168077185108037e+001,2.954965440505362e+000,
-1.596834655106244e+000,2.381167738939920e+000},{-1.120445287471011e+001,
2.871761949263363e+000,-1.583537284982829e+000,2.377542234921738e+000},
{-1.074945938906329e+001,2.791042690386217e+000,-1.570464754127387e+000,
2.373905246032895e+000},{-1.031477532863617e+001,2.712723290948242e+000,
-1.557613214714723e+000,2.370256638714139e+000},{-9.899418059077929e+000,
2.636722293125727e+000,-1.544978911524978e+000,2.366596277272797e+000},
{-9.502469882015735e+000,2.562961407683305e+000,-1.532558180831734e+000,
2.362924023835828e+000},{-9.123051186031617e+000,2.491365115660259e+000,
-1.520347447494355e+000,2.359239738301530e+000},{-8.760330847138221e+000,
2.421860710047537e+000,-1.508343223428605e+000,2.355543278289859e+000},
{-8.413522164671106e+000,2.354378147536363e+000,-1.496542105459269e+000,
2.351834499091346e+000},{-8.081872986226925e+000,2.288849868571785e+000,
-1.484940773296089e+000,2.348113253614503e+000},{-7.764673182380162e+000,
2.225210809410545e+000,-1.473535988024564e+000,2.344379392331724e+000},
{-7.461247253240972e+000,2.163398232030816e+000,-1.462324590067311e+000,
2.340632763223554e+000},{-7.170954402974354e+000,2.103351655486919e+000,
-1.451303497568699e+000,2.336873211721342e+000},{-6.893183429082948e+000,
2.045012734099102e+000,-1.440469704675801e+000,2.333100580648147e+000},
{-6.627356535854197e+000,1.988325235265094e+000,-1.429820280102758e+000,
2.329314710157896e+000},{-6.372924033280025e+000,1.933234904863000e+000,
-1.419352365401565e+000,2.325515437672646e+000},{-6.129360718270444e+000,
1.879689376009046e+000,-1.409063173503607e+000,2.321702597817965e+000},
{-5.896172583475862e+000,1.827638183228592e+000,-1.398949987494580e+000,
2.317876022356293e+000},{-5.672883417268298e+000,1.777032546809523e+000,
-1.389010158827584e+000,2.314035540118214e+000},{-5.459048060392687e+000,
1.727825480131581e+000,-1.379241106510718e+000,2.310180976931593e+000},
{-5.254234210794342e+000,1.679971515124929e+000,-1.369640315213699e+000,
2.306312155548433e+000},{-5.058040409876274e+000,1.633426877234746e+000,
-1.360205334751793e+000,2.302428895569415e+000},{-4.870075449851535e+000,
1.588149172977625e+000,-1.350933778115679e+000,2.298531013365968e+000},
{-4.689974661286671e+000,1.544097561802145e+000,-1.341823321100738e+000,
2.294618321999826e+000},{-4.517385486985614e+000,1.501232515510214e+000,
-1.332871700581220e+000,2.290690631139916e+000},{-4.351976351638122e+000,
1.459515900408742e+000,-1.324076713954947e+000,2.286747746976495e+000},
{-4.193429409227905e+000,1.418910831861334e+000,-1.315436217803243e+000,
2.282789472132387e+000},{-4.041441822526155e+000,1.379381663626085e+000,
-1.306948127133261e+000,2.278815605571236e+000},{-3.895727955783459e+000,
1.340893969545224e+000,-1.298610414512591e+000,2.274825942502597e+000},
{-3.756011643772165e+000,1.303414407478659e+000,-1.290421108956039e+000,
2.270820274283760e+000},{-3.622034405547364e+000,1.266910796845365e+000,
-1.282378295516774e+000,2.266798388318138e+000},{-3.493546180189254e+000,
1.231351952460242e+000,-1.274480114091720e+000,2.262760067950088e+000},
{-3.370310607726903e+000,1.196707735821732e+000,-1.266724759068044e+000,
2.258705092355959e+000},{-3.252103437476587e+000,1.162948988902917e+000,
-1.259110478484196e+000,2.254633236431245e+000},{-3.138708072538556e+000,
1.130047448209561e+000,-1.251635573300534e+000,2.250544270673615e+000},
{-3.029921490748561e+000,1.097975801268001e+000,-1.244298397138752e+000,
2.246437961061666e+000},{-2.925547647484275e+000,1.066707556584218e+000,
-1.237097355384933e+000,2.242314068929141e+000},{-2.825400740172198e+000,
1.036217072961828e+000,-1.230030904983982e+000,2.238172350834462e+000},
{-2.729304069234395e+000,1.006479509244643e+000,-1.223097553890867e+000,
2.234012558425291e+000},{-2.637088175181507e+000,9.774707739265413e-001,
-1.216295860641661e+000,2.229834438297897e+000},{-2.548592797119484e+000,
9.491675292708579e-001,-1.209624434141700e+000,2.225637731851086e+000},
{-2.463663423753487e+000,9.215471164859220e-001,-1.203081933219051e+000,
2.221422175134388e+000},{-2.382154682227609e+000,8.945875849149885e-001,
-1.196667066602152e+000,2.217187498690240e+000},{-2.303926482472558e+000,
8.682676066340345e-001,-1.190378592501879e+000,2.212933427389838e+000},
{-2.228846495422617e+000,8.425664957592878e-001,-1.184215318682858e+000,
2.208659680262342e+000},{-2.156787119809440e+000,8.174641394548649e-001,
-1.178176102225793e+000,2.204365970317081e+000},{-2.087628043470757e+000,
7.929410200343601e-001,-1.172259849701592e+000,2.200052004358389e+000},
{-2.021254023899635e+000,7.689781539219797e-001,-1.166465517041273e+000,
2.195717482792678e+000},{-1.957555062242275e+000,7.455570794959029e-001,
-1.160792109727399e+000,2.191362099427352e+000},{-1.896426533402995e+000,
7.226598392117595e-001,-1.155238682973756e+000,2.186985541261074e+000},
{-1.837768826064559e+000,7.002689535529851e-001,-1.149804341937003e+000,
2.182587488264949e+000},{-1.781486665007183e+000,6.783673926406706e-001,
-1.144488242010365e+000,2.178167613154132e+000},{-1.727489645225360e+000,
6.569385677311423e-001,-1.139289589251027e+000,2.173725581149271e+000},
{-1.675691487477748e+000,6.359662992671422e-001,-1.134207640777898e+000,
2.169261049727270e+000},{-1.626009927752474e+000,6.154347993672957e-001,
-1.129241705325752e+000,2.164773668360731e+000},{-1.578367042581602e+000,
5.953286591428831e-001,-1.124391143878772e+000,2.160263078245440e+000},
{-1.532688000054525e+000,5.756328107329074e-001,-1.119655370298758e+000,
2.155728912015201e+000},{-1.488902369669526e+000,5.563325343394894e-001,
-1.115033852224612e+000,2.151170793443280e+000},{-1.446942756513707e+000,
5.374134146917063e-001,-1.110526111833913e+000,2.146588337129652e+000},
{-1.406744919308124e+000,5.188613303492935e-001,-1.106131726888593e+000,
2.141981148173249e+000},{-1.368248520348087e+000,5.006624488336312e-001,
-1.101850331860153e+000,2.137348821828268e+000},{-1.331395630230789e+000,
4.828031818949505e-001,-1.097681619010324e+000,2.132690943143583e+000},
{-1.296131540592206e+000,4.652701873924490e-001,-1.093625339819990e+000,
2.128007086584252e+000},{-1.262404709408866e+000,4.480503487048833e-001,
-1.089681306389480e+000,2.123296815633988e+000},{-1.230165851283160e+000,
4.311307419976398e-001,-1.085849392958450e+000,2.118559682377429e+000},
{-1.199368710297917e+000,4.144986359366915e-001,-1.082129537707425e+000,
2.113795227060934e+000},{-1.169969608591567e+000,3.981414637443046e-001,
-1.078521744549609e+000,2.109002977630553e+000},{-1.141927349834720e+000,
3.820468046501531e-001,-1.075026085156083e+000,2.104182449245702e+000},
{-1.115203082457214e+000,3.662023649698341e-001,-1.071642701147781e+000,
2.099333143767018e+000},{-1.089760490754199e+000,3.505959636314658e-001,
-1.068371806469075e+000,2.094454549216662e+000},{-1.065565676036384e+000,
3.352155103263428e-001,-1.065213689919650e+000,2.089546139209323e+000},
{-1.042586729117127e+000,3.200489791680136e-001,-1.062168717889230e+000,
2.084607372351953e+000},{-1.020794201818640e+000,3.050843996188034e-001,
-1.059237337384420e+000,2.079637691610172e+000},{-1.000160851423267e+000,
2.903098297929833e-001,-1.056420079188220e+000,2.074636523639092e+000},
{-9.806614973337507e-001,2.757133333948358e-001,-1.053717561313666e+000,
2.069603278076170e+000},{-9.622732693844609e-001,2.612829629773606e-001,
-1.051130492745526e+000,2.064537346793446e+000},{-9.449750965802405e-001,
2.470067276370440e-001,-1.048659677405065e+000,2.059438103106439e+000},
{-9.287484495069965e-001,2.328725849863756e-001,-1.046306018534049e+000,
2.054304900936606e+000},{-9.135767353123816e-001,2.188684014719849e-001,
-1.044070523246075e+000,2.049137073924143e+000},{-8.994453596884484e-001,
2.049819299554718e-001,-1.041954307568271e+000,2.043933934487611e+000},
{-8.863420305972949e-001,1.912007886144718e-001,-1.039958601844730e+000,
2.038694772826542e+000},{-8.742566684377657e-001,1.775124284430896e-001,
-1.038084756497729e+000,2.033418855862917e+000},{-8.631812697459577e-001,
1.639040998219162e-001,-1.036334248261912e+000,2.028105426117050e+000},
{-8.531101234321912e-001,1.503628248396395e-001,-1.034708686935291e+000,
2.022753700513037e+000},{-8.440398362033877e-001,1.368753624716768e-001,
-1.033209822617653e+000,2.017362869108479e+000},{-8.359695776931154e-001,
1.234281750538496e-001,-1.031839553532223e+000,2.011932093742809e+000},
{-8.289005178126103e-001,1.100073763809098e-001,-1.030599934401732e+000,
2.006460506597966e+000},{-8.228370327534438e-001,9.659871547150999e-002,
-1.029493185682019e+000,2.000947208664684e+000},{-8.177855931109604e-001,
8.318750209275284e-002,-1.028521703215806e+000,1.995391268106987e+000},
{-8.137559409386451e-001,6.975858534653368e-002,-1.027688069030039e+000,
1.989791718516891e+000},{-8.107605455362672e-001,5.629628320384371e-002,
-1.026995062703656e+000,1.984147557050458e+000},{-8.088151684966699e-001,
4.278433685925803e-002,-1.026445673888504e+000,1.978457742435633e+000},
{-8.079389176695084e-001,2.920584547725917e-002,-1.026043115762180e+000,
1.972721192841307e+000},{-8.081545055075236e-001,1.554320066626404e-002,
-1.025790839663862e+000,1.966936783596047e+000},{-8.094885690941598e-001,
1.778015394473135e-003,-1.025692550981584e+000,1.961103344743805e+000},
{-8.119862698864362e-001,-1.210870698156008e-002,-1.025752227366026e+000,
1.955219658422625e+000},{-8.156795691276541e-001,-2.613710375287741e-002,
-1.025974136034128e+000,1.949284456050977e+000},{-8.205859499113112e-001,
-4.032871488155882e-002,-1.026362854927959e+000,1.943296415304725e+000},
{-8.267080955867543e-001,-5.494775286888999e-002,-1.026933948323617e+000,
1.937154374999355e+000},{-8.340034681281544e-001,-6.956792894448306e-002,
-1.027675693302118e+000,1.931045251398180e+000},{-8.424606360805104e-001,
-8.417588056073176e-002,-1.028583863802415e+000,1.924981823573036e+000},
{-8.520744170015872e-001,-9.878905079285071e-002,-1.029655444551397e+000,
1.918963711773316e+000},{-8.628424957952819e-001,-1.134242872327940e-001,
-1.030887586075559e+000,1.912990539037579e+000},{-8.747657918779217e-001,
-1.280978812135765e-001,-1.032277595480934e+000,1.907061931185783e+000},
{-8.878479382283583e-001,-1.428256278541051e-001,-1.033822927640486e+000,
1.901177516818667e+000},{-9.020955906247847e-001,-1.576228613739366e-001,
-1.035521177062222e+000,1.895336927323218e+000},{-9.175179556117891e-001,
-1.725045083448280e-001,-1.037370070125957e+000,1.889539796883510e+000},
{-9.341272433353944e-001,-1.874851158489946e-001,-1.039367457933408e+000,
1.883785762496073e+000},{-9.519380335091618e-001,-2.025789039960535e-001,
-1.041511309452197e+000,1.878074463988979e+000},{-9.709677271759698e-001,
-2.177997890193544e-001,-1.043799705248612e+000,1.872405544044008e+000},
{-9.912364175083539e-001,-2.331614219124641e-001,-1.046230831486630e+000,
1.866778648221036e+000},{-1.012766648729506e+000,-2.486772255078792e-001,
-1.048802974335914e+000,1.861193424984079e+000},{-1.035583653239251e+000,
-2.643604184910795e-001,-1.051514514791885e+000,1.855649525728494e+000},
{-1.059715403422719e+000,-2.802240450910093e-001,-1.054363923766542e+000,
1.850146604808510e+000},{-1.085192428404830e+000,-2.962810076523094e-001,
-1.057349757490633e+000,1.844684319564752e+000},{-1.112047840284971e+000,
-3.125440918568987e-001,-1.060470653253161e+000,1.839262330351305e+000},
{-1.140317779786924e+000,-3.290259844501270e-001,-1.063725325428120e+000,
1.833880300561731e+000},{-1.170040772767701e+000,-3.457393129150245e-001,
-1.067112561661264e+000,1.828537896653743e+000},{-1.201258334460249e+000,
-3.626966549827271e-001,-1.070631219467131e+000,1.823234788172321e+000},
{-1.234015008677897e+000,-3.799105645052093e-001,-1.074280222931547e+000,
1.817970647770632e+000},{-1.268357889035586e+000,-3.973936035490504e-001,
-1.078058559640830e+000,1.812745151228863e+000},{-1.304337381224103e+000,
-4.151583481991378e-001,-1.081965277933464e+000,1.807557977470460e+000},
{-1.342006818795918e+000,-4.332174201542663e-001,-1.085999484193767e+000,
1.802408808575871e+000},{-1.381422811192989e+000,-4.515835009140273e-001,
-1.090160340433320e+000,1.797297329793238e+000},{-1.422645114412084e+000,
-4.702693556220330e-001,-1.094447061989566e+000,1.792223229546457e+000},
{-1.465736793308509e+000,-4.892878500123289e-001,-1.098858915416110e+000,
1.787186199439965e+000},{-1.510764665910317e+000,-5.086519632583179e-001,
-1.103395216529062e+000,1.782185934260665e+000},{-1.557798713989053e+000,
-5.283748197187160e-001,-1.108055328517688e+000,1.777222131976678e+000},
{-1.606913024249304e+000,-5.484696901100445e-001,-1.112838660328233e+000,
1.772294493733011e+000},{-1.658185052376375e+000,-5.689500256907437e-001,
-1.117744665009237e+000,1.767402723844188e+000},{-1.711696835419274e+000,
-5.898294555775258e-001,-1.122772838338994e+000,1.762546529783867e+000},
{-1.767533848479072e+000,-6.111218280850936e-001,-1.127922717367707e+000,
1.757725622171410e+000},{-1.825786241452084e+000,-6.328412048781662e-001,
-1.133193879281465e+000,1.752939714755770e+000},{-1.886548675522292e+000,
-6.550018871713900e-001,-1.138585940177355e+000,1.748188524396311e+000},
{-1.949919791236933e+000,-6.776184419015450e-001,-1.144098553976703e+000,
1.743471771041181e+000},{-2.016003811123379e+000,-7.007056923572437e-001,
-1.149731411542488e+000,1.738789177703054e+000},{-2.084909407036162e+000,
-7.242787611639050e-001,-1.155484239633304e+000,1.734140470432365e+000},
{-2.156750372091127e+000,-7.483530737647965e-001,-1.161356800148957e+000,
1.729525378288342e+000},{-2.231627926685809e+000,-7.729445823064577e-001,
-1.167348888802051e+000,1.724943633307832e+000},{-2.309782982776231e+000,
-7.980678185970754e-001,-1.173460339702013e+000,1.720394970472067e+000},
{-2.391033663426555e+000,-8.237439135656604e-001,-1.179691000681487e+000,
1.715879127671712e+000},{-2.475869227142783e+000,-8.499832002901067e-001,
-1.186040793336751e+000,1.711395845671781e+000},{-2.563702595314027e+000,
-8.768125482108226e-001,-1.192509607048069e+000,1.706944868064386e+000},
{-2.653854883122921e+000,-9.042518387765622e-001,-1.199097403535986e+000,
1.702525941248357e+000},{-2.766079959594875e+000,-9.320924259943205e-001,
-1.205804687265605e+000,1.698138814375825e+000},{-2.836837888537308e+000,
-9.612314004857536e-001,-1.212628993373840e+000,1.693783239359507e+000},
{-2.962833314784326e+000,-9.901728646594288e-001,-1.219575772839467e+000,
1.689458970942077e+000},{-3.065797818595779e+000,-1.020307105997146e+000,
-1.226639028725659e+000,1.685165765209986e+000},{-3.179146555811669e+000,
-1.051016019187351e+000,-1.233822305642099e+000,1.680903383115731e+000},
{-3.297284348618891e+000,-1.082440812070858e+000,-1.241124966094870e+000,
1.676671586493826e+000},{-3.420414306708996e+000,-1.114602326672745e+000,
-1.248547175601712e+000,1.672470140103473e+000},{-3.548747934055633e+000,
-1.147521940179529e+000,-1.256089127934521e+000,1.668298811149195e+000},
{-3.682505857052307e+000,-1.181221572474609e+000,-1.263751044854284e+000,
1.664157369235286e+000},{-3.821915807343334e+000,-1.215723723768695e+000,
-1.271533175757266e+000,1.660045586320429e+000},{-3.967214733237526e+000,
-1.251051449579780e+000,-1.279435797479266e+000,1.655963236672333e+000},
{-4.118645118574411e+000,-1.287228408806640e+000,-1.287459213783149e+000,
1.651910096822906e+000},{-4.280211341706425e+000,-1.324244351504146e+000,
-1.295603825538186e+000,1.647885945523818e+000},{-4.453514772407470e+000,
-1.362099245447999e+000,-1.303870050532300e+000,1.643890563702867e+000},
{-4.640395688977453e+000,-1.400781827377156e+000,-1.312258462550433e+000,
1.639923734421353e+000},{-4.842972282220500e+000,-1.444303609727521e+000,
-1.321571915960135e+000,1.635617913591072e+000},{-5.077818607817462e+000,
-1.489650226742146e+000,-1.331210828298044e+000,1.631266166750613e+000},
{-5.269519269425579e+000,-1.537901012173168e+000,-1.341188853488693e+000,
1.626867109373032e+000},{-5.551431069675780e+000,-1.587320333609772e+000,
-1.351529036102523e+000,1.622419288010019e+000},{-5.808923042237106e+000,
-1.639958440934728e+000,-1.362242057327564e+000,1.617921174006821e+000},
{-6.095719050661056e+000,-1.695055063945981e+000,-1.373352317843512e+000,
1.613371162616998e+000},{-6.404369551367121e+000,-1.752995378033357e+000,
-1.384879806897964e+000,1.608767561543370e+000},{-6.737074974434417e+000,
-1.813996281601904e+000,-1.396847279282773e+000,1.604108587787460e+000},
{-7.096314427293298e+000,-1.878296278283565e+000,-1.409279272349471e+000,
1.599392359891712e+000},{-7.484885584665084e+000,-1.946158190784704e+000,
-1.422202288280279e+000,1.594616890192578e+000},{-7.905955622871398e+000,
-2.017872214308587e+000,-1.435644999776433e+000,1.589780076274508e+000},
{-8.363119801992593e+000,-2.093759464249109e+000,-1.449638482309929e+000,
1.584879691522251e+000},{-8.860470601969707e+000,-2.174176076790771e+000,
-1.464216477264085e+000,1.579913374653328e+000},{-9.402681541299199e+000,
-2.259517940676243e+000,-1.479415690927240e+000,1.574878618093620e+000},
{-9.995105596234213e+000,-2.350226224176583e+000,-1.495276135046780e+000,
1.569772755037022e+000},{-1.064389482985112e+001,-2.446793798326975e+000,
-1.511841516075586e+000,1.564592945003904e+000},{-1.135614240262710e+001,
-2.549772781901460e+000,-1.529159681274163e+000,1.559336157681449e+000},
{-1.214005414414541e+001,-2.659783392395340e+000,-1.547283131791800e+000,
1.553999154791512e+000},{-1.300515543255768e+001,-2.777524377540540e+000,
-1.566269614684388e+000,1.548578469686142e+000},{-1.396253928239969e+001,
-2.903785372223432e+000,-1.586182808281310e+000,1.543070384316234e+000},
{-1.502516407943721e+001,-3.039461566365826e+000,-1.607093118455835e+000,
1.537470903152320e+000},{-1.620820834955008e+001,-3.185571181481919e+000,
-1.629078606872898e+000,1.531775723555805e+000},{-1.756861317903349e+001,
-3.342859695130933e+000,-1.652227062158571e+000,1.525980202000237e+000},
{-1.896992968076159e+001,-3.514753551909730e+000,-1.676629844756208e+000,
1.520079315421806e+000},{-2.070940498674979e+001,-3.698607679814522e+000,
-1.702409666201476e+000,1.514067616830629e+000},{-2.258006445102759e+001,
-3.900361852777759e+000,-1.729670196587357e+000,1.507939179287543e+000},
{-2.472640864504724e+001,-4.119997968335903e+000,-1.758560156062154e+000,
1.501687551187454e+000},{-2.717555760930571e+001,-4.360330688942441e+000,
-1.789232432463443e+000,1.495305668348961e+000},{-2.998453612050399e+001,
-4.624174865325230e+000,-1.821864001930955e+000,1.488785783609070e+000},
{-3.322400657923019e+001,-4.914848588452856e+000,-1.856657070400842e+000,
1.482119368890723e+000},{-3.698227739969207e+001,-5.236285870597177e+000,
-1.893843826546765e+000,1.475297002040697e+000},{-4.137073781469906e+001,
-5.593179752915376e+000,-1.933692326201029e+000,1.468308231964111e+000},
{-4.653129624345377e+001,-5.991165877519198e+000,-1.976513837575755e+000,
1.461141416796625e+000},{-5.264671942271787e+001,-6.437059666295744e+000,
-2.022672094596102e+000,1.453783528293291e+000},{-5.995516440181747e+001,
-6.939166169402911e+000,-2.072595066915272e+000,1.446219913491736e+000},
{-6.877091752349767e+001,-7.507688498893050e+000,-2.126790093032183e+000,
1.438434001794347e+000},{-7.951434352644553e+001,-8.155272910741649e+000,
-2.185863560319914e+000,1.430406941556337e+000},{-9.282260741855799e+001,
-8.896990368881466e+000,-2.250548709297550e+000,1.422117144536678e+000},
{-1.092705800731509e+002,-9.755978248450887e+000,-2.321727653966861e+000,
1.413539708353296e+000},{-1.303440861742615e+002,-1.075180658002727e+001,
-2.400520525131451e+000,1.404645675124892e+000},{-1.573817172536041e+002,
-1.192284129304266e+001,-2.488271989475859e+000,1.395401054361456e+000},
{-1.929469781047582e+002,-1.330915824062231e+001,-2.586733173534589e+000,
1.385765574728271e+000},{-2.407515409275657e+002,-1.496747918474029e+001,
-2.698134813608466e+000,1.375690927154873e+000},{-3.067296511299643e+002,
-1.697224306116501e+001,-2.825409191622562e+000,1.365118418615304e+000},
{-4.007152627101729e+002,-1.942210540851691e+001,-2.972493248817588e+000,
1.353975640846269e+000},{-5.399185840310040e+002,-2.244503642183699e+001,
-3.144822779164391e+000,1.342171664024869e+000},{-7.560716744000814e+002,
-2.620100919290446e+001,-3.350155100053136e+000,1.329589871746869e+000},
{-1.113449606842879e+003,-3.084021110135518e+001,-3.600109952519693e+000,
1.316076873033058e+000},{-1.690504862425243e+003,-3.710261655467448e+001,
-3.911155756406296e+000,1.301424533021810e+000},{-2.670061268217115e+003,
-4.640046513281821e+001,-4.309071967361942e+000,1.285339230723633e+000},
{-4.481748438342077e+003,-6.187707883736660e+001,-4.834386672670042e+000,
1.267385221467624e+000},{-8.164522417664276e+003,-6.838329256029518e+001,
-5.390905548063032e+000,1.252292339125201e+000},{-1.652878983123607e+004,
-6.410911523659486e+001,-6.181751840615706e+000,1.235307228164419e+000},
{-3.589814816980765e+004,-5.850303396906464e+001,-7.379682885213981e+000,
1.214800598771303e+000},{-8.037263246538142e+004,-1.135710262603827e+002,
-9.097826769016773e+000,1.191007390096093e+000},{-1.821922090737477e+005,
-2.354776316590442e+002,-1.127469694751144e+001,1.168783843757871e+000},
{-4.484262360427870e+005,-1.929406030066214e+002,-1.390923719646678e+001,
1.150438269719548e+000},{-1.121046496283366e+006,2.244014433727998e+002,
-1.739509749280907e+001,1.133590960463892e+000},{-2.637332052450561e+006,
2.537931543190984e+002,-2.209765636576909e+001,1.115407413029603e+000},
{-5.907648512403362e+006,-4.012624018357776e+003,-2.901240599782692e+001,
1.093221801784601e+000},{-1.195665812647725e+007,-7.565697091202631e+003,
-3.507390000142389e+001,1.081141798451352e+000},{-2.784190228559279e+007,
-2.474660221277177e+003,-3.985563387169906e+001,1.075521362860637e+000},
{-8.260002532389586e+007,1.207599307914400e+004,-5.010461096457156e+001,
1.065839017041407e+000},{-2.783054150157432e+008,6.191392637195736e+004,
-6.812180721814856e+001,1.055309382343470e+000},{-8.984303648430897e+008,
4.972036367617193e+004,-8.797612069577760e+001,1.041458768913245e+000},
{-1.938721107426129e+009,-9.947883920780817e+004,-1.102739497257638e+002,
1.031926967645291e+000},{-1.596711708673011e+013,7.576033677883548e+008,
-8.980126598064539e+003,1.025706312840203e+000}};
constant Real[Ninterval, 4] dvcoef={{4.918869918230695e+005,-1.567555888877598e+002,
5.437208630256651e-001,5.503960828374048e-005},{4.550378123449924e+005,
-1.523735197978206e+002,5.428795951631563e-001,5.651517998086538e-005},
{4.154435854155241e+005,-1.485249049854512e+002,5.421736401433307e-001,
5.778081864475579e-005},{3.741482472743288e+005,-1.409517385019123e+002,
5.405774106280010e-001,6.075322570198208e-005},{3.367178855870678e+005,
-1.337561394903371e+002,5.389802274088923e-001,6.387796804156671e-005},
{3.032331897449884e+005,-1.269325231900327e+002,5.373822526407004e-001,
6.716271877677984e-005},{2.729783236073526e+005,-1.204513648774790e+002,
5.357833746302725e-001,7.061574208320135e-005},{2.457737771951380e+005,
-1.143004549600878e+002,5.341836871213043e-001,7.424557939372635e-005},
{2.212418903451594e+005,-1.084606313277702e+002,5.325831835730194e-001,
7.806127539077440e-005},{1.991932319373264e+005,-1.029188757389579e+002,
5.309819330350911e-001,8.207225038864295e-005},{1.793568834640014e+005,
-9.765862295132199e+001,5.293799351427024e-001,8.628847726670124e-005},
{1.614383537622045e+005,-9.266330277412550e+001,5.277772334623126e-001,
9.072034242183298e-005},{1.453621714686960e+005,-8.792412794039890e+001,
5.261738672668539e-001,9.537893269130447e-005},{1.308585174350236e+005,
-8.342408029607272e+001,5.245698186895845e-001,1.002758063548368e-004},
{1.178099872852326e+005,-7.915315147317665e+001,5.229651805648193e-001,
1.054230003569786e-004},{1.060542653282609e+005,-7.509881556093026e+001,
5.213599463406871e-001,1.108333568850558e-004},{9.549308124088842e+004,
-7.125147962403636e+001,5.197541987519517e-001,1.165201514339942e-004},
{8.600354913972432e+004,-6.759972330879310e+001,5.181479357221414e-001,
1.224975427286338e-004},{7.761649543341427e+004,-6.414066678887514e+001,
5.165412858073596e-001,1.287802891593490e-004},{7.020537948517055e+004,
-6.086565981704204e+001,5.149343233861899e-001,1.353838849828343e-004},
{6.362526510536840e+004,-5.781701794798269e+001,5.133590847200070e-001,
1.421827481986982e-004},{5.777602598727927e+004,-5.506082706782908e+001,
5.118681842941606e-001,1.489285080947021e-004},{5.249423222977891e+004,
-5.245136198830269e+001,5.103869134700294e-001,1.559450852216556e-004},
{4.772771403525848e+004,-4.998041590145706e+001,5.089152331130584e-001,
1.632411903229066e-004},{4.341758916708818e+004,-4.763947665576765e+001,
5.074530908455733e-001,1.708257343021365e-004},{3.952482258441854e+004,
-4.542149360328381e+001,5.060004500938848e-001,1.787078304444174e-004},
{3.599853857184100e+004,-4.331871999300164e+001,5.045572556408491e-001,
1.868967966091156e-004},{3.281073717790914e+004,-4.132521822148750e+001,
5.031234772300364e-001,1.954021573940050e-004},{2.991928864379426e+004,
-3.943405746218934e+001,5.016990585808311e-001,2.042336462698480e-004},
{2.730136743929938e+004,-3.764000095251405e+001,5.002839707362081e-001,
2.134012076848843e-004},{2.492659063635537e+004,-3.593720253748594e+001,
4.988781632750814e-001,2.229149991386049e-004},{2.276955125736159e+004,
-3.432046079500933e+001,4.974815975109458e-001,2.327853932242566e-004},
{2.081432755389784e+004,-3.278542777406340e+001,4.960942426492074e-001,
2.430229796396210e-004},{1.903499917129547e+004,-3.132692253363413e+001,
4.947160448050079e-001,2.536385671655345e-004},{1.741916761544805e+004,
-2.994121669633407e+001,4.933469804327021e-001,2.646431856117704e-004},
{1.594856799673893e+004,-2.862400374594620e+001,4.919870030103821e-001,
2.760480877298892e-004},{1.461071366209510e+004,-2.737169558264001e+001,
4.906360810069271e-001,2.878647510927006e-004},{1.339168327690314e+004,
-2.618061339571608e+001,4.892941746173027e-001,3.001048799400484e-004},
{1.228253049325166e+004,-2.504768084200302e+001,4.879612544780885e-001,
3.127804069906575e-004},{1.126892157829276e+004,-2.396930264453291e+001,
4.866372742930647e-001,3.259034952198203e-004},{1.034662065878251e+004,
-2.294316241182801e+001,4.853222187890683e-001,3.394865396027453e-004},
{9.503700936201338e+003,-2.196597276324068e+001,4.840160361000067e-001,
3.535421688234263e-004},{8.734018189448401e+003,-2.103534947204093e+001,
4.827187038678896e-001,3.680832469489622e-004},{8.031366011875803e+003,
-2.014888458104759e+001,4.814301896622395e-001,3.831228750692300e-004},
{7.388578355618841e+003,-1.930410181604127e+001,4.801504565658148e-001,
3.986743929019504e-004},{6.800574870580942e+003,-1.849890723067505e+001,
4.788794784376936e-001,4.147513803631108e-004},{6.262968091501257e+003,
-1.773131649952538e+001,4.776172260185485e-001,4.313676591028885e-004},
{5.770389109765950e+003,-1.699924277022264e+001,4.763636637585473e-001,
4.485372940071114e-004},{5.319190052222050e+003,-1.630094266002941e+001,
4.751187671980786e-001,4.662745946644320e-004},{4.905748845902255e+003,
-1.563469347603085e+001,4.738825069166632e-001,4.845941167994040e-004},
{4.526685334231427e+003,-1.499884943133974e+001,4.726548535498104e-001,
5.035106636716925e-004},{4.178772802276819e+003,-1.439183882285007e+001,
4.714357786189442e-001,5.230392874416343e-004},{3.859530682062243e+003,
-1.381226047506382e+001,4.702252575271995e-001,5.431952905025171e-004},
{3.566271424600439e+003,-1.325870013942056e+001,4.690232613675992e-001,
5.639942267798111e-004},{3.296870650297050e+003,-1.272989003696022e+001,
4.678297654512661e-001,5.854519029978606e-004},{3.049276098691007e+003,
-1.222459719155169e+001,4.666447430986029e-001,6.075843799142949e-004},
{2.821484408536768e+003,-1.174163338947488e+001,4.654681678733132e-001,
6.304079735227145e-004},{2.611896527283416e+003,-1.127992855916830e+001,
4.643000166997424e-001,6.539392562240592e-004},{2.419079453141731e+003,
-1.083846133076433e+001,4.631402651077743e-001,6.781950579671866e-004},
{2.241307272262556e+003,-1.041617660727023e+001,4.619888855086836e-001,
7.031924673592141e-004},{2.077658736699405e+003,-1.001223689974768e+001,
4.608458599404298e-001,7.289488327461664e-004},{1.926777017074004e+003,
-9.625702150971902e+000,4.597111603812837e-001,7.554817632645456e-004},
{1.787519449312663e+003,-9.255727615109393e+000,4.585847646064639e-001,
7.828091298644552e-004},{1.659179395402279e+003,-8.901591924409631e+000,
4.574666539228491e-001,8.109490663049823e-004},{1.540633616703145e+003,
-8.562472211245941e+000,4.563568005087656e-001,8.399199701224020e-004},
{1.431161858142325e+003,-8.237690859137757e+000,4.552551859319501e-001,
8.697405035720722e-004},{1.330023377555299e+003,-7.926573334195409e+000,
4.541617883382710e-001,9.004295945446778e-004},{1.236573482343776e+003,
-7.628487285308340e+000,4.530765866476337e-001,9.320064374575882e-004},
{1.150117985277077e+003,-7.342803184259996e+000,4.519995585201517e-001,
9.644904941221798e-004},{1.070158684587523e+003,-7.068970548333955e+000,
4.509306856964692e-001,9.979014945878772e-004},{9.961748371914198e+002,
-6.806438520833332e+000,4.498699469983624e-001,1.032259437963822e-003},
{9.276477356080152e+002,-6.554674171966223e+000,4.488173216777321e-001,
1.067584593218963e-003},{8.641833883415839e+002,-6.313201947850644e+000,
4.477727918978972e-001,1.103897499961509e-003},{8.053877216782303e+002,
-6.081553232617854e+000,4.467363378201690e-001,1.141218969198647e-003},
{7.508679837063625e+002,-5.859273363957273e+000,4.457079396593727e-001,
1.179570084077442e-003},{7.003121955106866e+002,-5.645950416545300e+000,
4.446875799042271e-001,1.218972200607816e-003},{6.534229224786275e+002,
-5.441184593317924e+000,4.436752399301383e-001,1.259446948368720e-003},
{6.098701132482534e+002,-5.244576566367364e+000,4.426709003094503e-001,
1.301016231198290e-003},{5.694693580848956e+002,-5.055795182260655e+000,
4.416745463024567e-001,1.343702227869144e-003},{5.319187630216652e+002,
-4.874464882088055e+000,4.406861567650555e-001,1.387527392749791e-003},
{4.970284952496925e+002,-4.700273550639881e+000,4.397057168100576e-001,
1.432514456453111e-003},{4.646073398256017e+002,-4.532911236187518e+000,
4.387332091303748e-001,1.478686426473104e-003},{4.344436320778534e+002,
-4.372067882144371e+000,4.377686155875123e-001,1.526066587810795e-003},
{4.063942942181745e+002,-4.217474280320218e+000,4.368119214276980e-001,
1.574678503590567e-003},{3.802841770186233e+002,-4.068850532622352e+000,
4.358631089330863e-001,1.624546015667824e-003},{3.559769108797973e+002,
-3.925944939917800e+000,4.349221629490394e-001,1.675693245229227e-003},
{3.333402909463835e+002,-3.788512906615899e+000,4.339890675369079e-001,
1.728144593386517e-003},{3.122536180170024e+002,-3.656321586479176e+000,
4.330638070558099e-001,1.781924741765163e-003},{2.925902763184365e+002,
-3.529142319538135e+000,4.321463655932412e-001,1.837058653088838e-003},
{2.742740781970119e+002,-3.406778654781579e+000,4.312367299211879e-001,
1.893571571760979e-003},{2.571759037143193e+002,-3.289008496189263e+000,
4.303348822713388e-001,1.951489024444565e-003},{2.412316234199518e+002,
-3.175655844670625e+000,4.294408108599679e-001,2.010836820641156e-003},
{2.263479765419118e+002,-3.066528653226592e+000,4.285544996055142e-001,
2.071641053270657e-003},{2.124540881441975e+002,-2.961454863028191e+000,
4.276759349468488e-001,2.133928099252665e-003},{1.994738967239204e+002,
-2.860263446005821e+000,4.268051024338398e-001,2.197724620090749e-003},
{1.873507685079785e+002,-2.762800207342723e+000,4.259419892085835e-001,
2.263057562460898e-003},{1.760176881347635e+002,-2.668907362024899e+000,
4.250865807774918e-001,2.329954158805295e-003},{1.654238211245136e+002,
-2.578442894138812e+000,4.242388645871290e-001,2.398441927932571e-003},
{1.555155973132484e+002,-2.491265813149157e+000,4.233988271501935e-001,
2.468548675625884e-003},{1.462467369395943e+002,-2.407244188793173e+000,
4.225664558320871e-001,2.540302495259932e-003},{1.375706942965182e+002,
-2.326249402371831e+000,4.217417377784478e-001,2.613731768428245e-003},
{1.294517522416703e+002,-2.248163891647594e+000,4.209246611933187e-001,
2.688865165581934e-003},{1.218462678465571e+002,-2.172866771201884e+000,
4.201152129124728e-001,2.765731646681044e-003},{1.147234040530867e+002,
-2.100250995085103e+000,4.193133818831384e-001,2.844360461860063e-003},
{1.080479787286075e+002,-2.030208123787794e+000,4.185191557975788e-001,
2.924781152108462e-003},{1.017920655477493e+002,-1.962638710731280e+000,
4.177325235641014e-001,3.007023549967833e-003},{9.592579946784062e+001,
-1.897443919649623e+000,4.169534734756494e-001,3.091117780246804e-003},
{9.042335241081501e+001,-1.834531404942512e+000,4.161819947150213e-001,
3.177094260754840e-003},{8.526160053959171e+001,-1.773813276822706e+000,
4.154180766062474e-001,3.264983703056518e-003},{8.041750410261692e+001,
-1.715203736662323e+000,4.146617082903334e-001,3.354817113247324e-003},
{7.586988596025167e+001,-1.658621120070368e+000,4.139128794048740e-001,
3.446625792752341e-003},{7.159914621790271e+001,-1.603987470082015e+000,
4.131715799027952e-001,3.540441339149129e-003},{6.758805543380534e+001,
-1.551228969555801e+000,4.124378000649125e-001,3.636295647016206e-003},
{6.381901401260075e+001,-1.500273202161896e+000,4.117115299747857e-001,
3.734220908808124e-003},{6.027654566266498e+001,-1.451051972887889e+000,
4.109927603593492e-001,3.834249615758861e-003},{5.694686162949886e+001,
-1.403500300021269e+000,4.102814821535462e-001,3.936414558814610e-003},
{5.381464616126993e+001,-1.357553381609505e+000,4.095776860201926e-001,
4.040748829597288e-003},{5.086862121268142e+001,-1.313152746254192e+000,
4.088813639116348e-001,4.147285821400251e-003},{4.809696746170313e+001,
-1.270240281248384e+000,4.081925071806428e-001,4.256059230217466e-003},
{4.548795219446311e+001,-1.228759645993116e+000,4.075111074687371e-001,
4.367103055807410e-003},{4.303153877084944e+001,-1.188658139770851e+000,
4.068371571482173e-001,4.480451602793230e-003},{4.071884002550738e+001,
-1.149885475769847e+000,4.061706487359031e-001,4.596139481800510e-003},
{3.853982359631466e+001,-1.112391283466330e+000,4.055115744704507e-001,
4.714201610633783e-003},{3.648706442220689e+001,-1.076129903100120e+000,
4.048599277728404e-001,4.834673215493562e-003},{3.455203104072965e+001,
-1.041055261831986e+000,4.042157015223190e-001,4.957589832234991e-003},
{3.272824992696282e+001,-1.007125200219632e+000,4.035788895850664e-001,
5.082987307669529e-003},{3.100819917421405e+001,-9.742971021566538e-001,
4.029494853695961e-001,5.210901800911449e-003},{2.938585708234636e+001,
-9.425316926626286e-001,4.023274832668355e-001,5.341369784769924e-003},
{2.785532702736859e+001,-9.117906925683219e-001,4.017128776362615e-001,
5.474428047188925e-003},{2.641089462970517e+001,-8.820370796524276e-001,
4.011056631033509e-001,5.610113692735653e-003},{2.504744509854464e+001,
-8.532356843531500e-001,4.005058347752553e-001,5.748464144139499e-003},
{2.376012690680433e+001,-8.253525682988094e-001,3.999133879843608e-001,
5.889517143882834e-003},{2.254436515950055e+001,-7.983550679575092e-001,
3.993283183805698e-001,6.033310755844880e-003},{2.139577493846826e+001,
-7.722116978256376e-001,3.987506219417533e-001,6.179883367000695e-003},
{2.031075898178054e+001,-7.468929148919709e-001,3.981802951854477e-001,
6.329273689176286e-003},{1.928498435038579e+001,-7.223687585378505e-001,
3.976173344075094e-001,6.481520760861736e-003},{1.831546512863807e+001,
-6.986123544713665e-001,3.970617370876304e-001,6.636663949083660e-003},
{1.739874302112455e+001,-6.755964878582553e-001,3.965135003282964e-001,
6.794742951338802e-003},{1.653149368600032e+001,-6.532950634486524e-001,
3.959726218194969e-001,6.955797797590126e-003},{1.571136413855040e+001,
-6.316842473860278e-001,3.954391000465521e-001,7.119868852327289e-003},
{1.493511547753208e+001,-6.107391370754174e-001,3.949129329852181e-001,
7.286996816692762e-003},{1.420039845144105e+001,-5.904373123215700e-001,
3.943941198649326e-001,7.457222730675804e-003},{1.350506994592831e+001,
-5.707570615830940e-001,3.938826600000119e-001,7.630587975375203e-003},
{1.284647108422737e+001,-5.516762826357500e-001,3.933785526503101e-001,
7.807134275333396e-003},{1.222277796478104e+001,-5.331751751866478e-001,
3.928817982791715e-001,7.986903700942806e-003},{1.163191695951530e+001,
-5.152338073353088e-001,3.923923971864010e-001,8.169938670926894e-003},
{1.107213284474227e+001,-4.978333946436397e-001,3.919103503368385e-001,
8.356281954897082e-003},{1.054149664309521e+001,-4.809552921213819e-001,
3.914356588874424e-001,8.545976675988149e-003},{1.003852662470317e+001,
-4.645822992591858e-001,3.909683248378932e-001,8.739066313572592e-003},
{9.561664872804187e+000,-4.486973760480717e-001,3.905083502824061e-001,
8.935594706057733e-003},{9.109335246091527e+000,-4.332839483801887e-001,
3.900557377878584e-001,9.135606053765538e-003},{8.680382947929710e+000,
-4.183267593479249e-001,3.896104907230568e-001,9.339144921898225e-003},
{8.273324247996497e+000,-4.038101468153956e-001,3.891726123742362e-001,
9.546256243591643e-003},{7.887079182136844e+000,-3.897198414232183e-001,
3.887421070574992e-001,9.756985323057689e-003},{7.520443323253075e+000,
-3.760415771209294e-001,3.883189792052398e-001,9.971377838818433e-003},
{7.172391400254022e+000,-3.627618922961474e-001,3.879032339530123e-001,
1.018947984703397e-002},{6.841893907962348e+000,-3.498676232857845e-001,
3.874948768109323e-001,1.041133778492567e-002},{6.527997017874895e+000,
-3.373461375524688e-001,3.870939138736296e-001,1.063699847429761e-002},
{6.229808364298923e+000,-3.251852702502093e-001,3.867003517682037e-001,
1.086650912515772e-002},{5.946507856507541e+000,-3.133733224079474e-001,
3.863141976591653e-001,1.109991733944163e-002},{5.677262450077949e+000,
-3.018988533524630e-001,3.859354591756860e-001,1.133727111484078e-002},
{5.421352794634765e+000,-2.907510173390247e-001,3.855641446431972e-001,
1.157861884873768e-002},{5.178044952198035e+000,-2.799191865535771e-001,
3.852002628309458e-001,1.182400934225040e-002},{4.946713848640733e+000,
-2.693932865271758e-001,3.848438232049179e-001,1.207349180438865e-002},
{4.726667248951112e+000,-2.591633075488187e-001,3.844948356365955e-001,
1.232711585632465e-002},{4.517394406394665e+000,-2.492199984536905e-001,
3.841533108804939e-001,1.258493153578013e-002},{4.318248173877903e+000,
-2.395539223666578e-001,3.838192599352582e-001,1.284698930153326e-002},
{4.128755543462441e+000,-2.301564276641476e-001,3.834926948075274e-001,
1.311334003804745e-002},{3.948400040450002e+000,-2.210188987207532e-001,
3.831736278767949e-001,1.338403506022480e-002},{3.776706557031288e+000,
-2.121330737099716e-001,3.828620722535667e-001,1.365912611828752e-002},
{3.613235615589715e+000,-2.034909988612184e-001,3.825580417231296e-001,
1.393866540278966e-002},{3.457552934484986e+000,-1.950849326143231e-001,
3.822615507012779e-001,1.422270554976199e-002},{3.309289747397522e+000,
-1.869075184953642e-001,3.819726143711710e-001,1.451129964599359e-002},
{3.168027635565692e+000,-1.789514180717389e-001,3.816912484468373e-001,
1.480450123445292e-002},{3.033432541611965e+000,-1.712097771328688e-001,
3.814174695766434e-001,1.510236431985102e-002},{2.905177939665958e+000,
-1.636758970404103e-001,3.811512950075380e-001,1.540494337435146e-002},
{2.782931144489786e+000,-1.563432183214555e-001,3.808927426753809e-001,
1.571229334342843e-002},{2.666380912718784e+000,-1.492054387832750e-001,
3.806418313441766e-001,1.602446965187827e-002},{2.555276695079573e+000,
-1.422566004739850e-001,3.803985806210800e-001,1.634152820998644e-002},
{2.449295076606051e+000,-1.354906337033831e-001,3.801630106447514e-001,
1.666352541985449e-002},{2.348233464609053e+000,-1.289020699204486e-001,
3.799351427205061e-001,1.699051818189040e-002},{2.251825859416809e+000,
-1.224852907459614e-001,3.797149986002554e-001,1.732256390146563e-002},
{2.159830546635063e+000,-1.162349453169496e-001,3.795026010329486e-001,
1.765972049574360e-002},{2.072058189589333e+000,-1.101459982440797e-001,
3.792979737057716e-001,1.800204640068242e-002},{1.988279437621665e+000,
-1.042133641825461e-001,3.791011409474683e-001,1.834960057821797e-002},
{1.908304088873131e+000,-9.843225925896297e-002,3.789121281419708e-001,
1.870244252362887e-002},{1.831966481347027e+000,-9.279808329654883e-002,
3.787309615388108e-001,1.906063227308990e-002},{1.759063885369890e+000,
-8.730619512825491e-002,3.785576681372098e-001,1.942423041141704e-002},
{1.689442954866666e+000,-8.195229176988321e-002,3.783922761004630e-001,
1.979329808000917e-002},{1.622952654628118e+000,-7.673215449994221e-002,
3.782348144266670e-001,2.016789698499184e-002},{1.559425467803564e+000,
-7.164160304756834e-002,3.780853130129168e-001,2.054808940556589e-002},
{1.498739703281514e+000,-6.667675646191087e-002,3.779438029211383e-001,
2.093393820256837e-002},{1.440744669602029e+000,-6.183368436111730e-002,
3.778103160133016e-001,2.132550682724936e-002},{1.385323321761285e+000,
-5.710870924118614e-002,3.776848853473129e-001,2.172285933027002e-002},
{1.332347619367673e+000,-5.249817996692605e-002,3.775675449108211e-001,
2.212606037092868e-002},{1.281706587252000e+000,-4.799861330288496e-002,
3.774583298354774e-001,2.253517522661828e-002},{1.233286775513597e+000,
-4.360659269821209e-002,3.773572762902370e-001,2.295026980252321e-002},
{1.186989610982328e+000,-3.931885012278981e-002,3.772644216056396e-001,
2.337141064156014e-002},{1.142709310723802e+000,-3.513215772395206e-002,
3.771798041763876e-001,2.379866493456963e-002},{1.100364054184835e+000,
-3.104347409546139e-002,3.771034636540305e-001,2.423210053076392e-002},
{1.059849057888973e+000,-2.704971323541650e-002,3.770354407144567e-001,
2.467178594843880e-002},{1.021092249072365e+000,-2.314803353433318e-002,
3.769757774433468e-001,2.511779038595530e-002},{9.840075377705944e-001,
-1.933557117879185e-002,3.769245169864941e-001,2.557018373299856e-002},
{9.485193352610145e-001,-1.560958934131050e-002,3.768817038258078e-001,
2.602903658212011e-002},{9.145571430630910e-001,-1.196743397082525e-002,
3.768473837166201e-001,2.649442024057316e-002},{8.820469590864203e-001,
-8.406493879188376e-003,3.768216036884748e-001,2.696640674244555e-002},
{8.509285119314395e-001,-4.924290603556751e-003,3.768044121832929e-001,
2.744506886110065e-002},{8.211340609415847e-001,-1.518356287428216e-003,
3.767958589199679e-001,2.793048012193355e-002},{7.926086375394551e-001,
1.813649114228547e-003,3.767959950973827e-001,2.842271481544971e-002},{
7.652929944655803e-001,5.074044032923294e-003,3.768048732667741e-001,
2.892184801067763e-002},{7.391329197825297e-001,8.265062590104030e-003,
3.768225474785089e-001,2.942795556892074e-002},{7.140800335116605e-001,
1.138886128687014e-002,3.768490732805331e-001,2.994111415786120e-002},{
6.900802188495476e-001,1.444758203811515e-002,3.768845076851303e-001,
3.046140126602262e-002},{6.670923614724178e-001,1.744324178592566e-002,
3.769289093561197e-001,3.098889521760341e-002},{6.450691071878270e-001,
2.037785914287436e-002,3.769823384460632e-001,3.152367518768998e-002},{
6.239696575093529e-001,2.325336642648719e-002,3.770448567964210e-001,
3.206582121785987e-002},{6.037510611099373e-001,2.607166756790367e-002,
3.771165278758674e-001,3.261541423218719e-002},{5.843794053727025e-001,
2.883457191774331e-002,3.771974169112035e-001,3.317253605366046e-002},{
5.658147755261427e-001,3.154389410629092e-002,3.772875907776753e-001,
3.373726942102517e-002},{5.480231161544660e-001,3.420136776566449e-002,
3.773871182015341e-001,3.430969800606262e-002},{5.309724570385872e-001,
3.680868184153350e-002,3.774960697125371e-001,3.488990643131756e-002},{
5.146295233740406e-001,3.936750010466255e-002,3.776145176754647e-001,
3.547798028828863e-002},{4.989652245345753e-001,4.187942343633730e-002,
3.777425363985507e-001,3.607400615609310e-002},{4.839508951570389e-001,
4.434602120425499e-002,3.778802021164517e-001,3.667807162062187e-002},{
4.695586251393293e-001,4.676882656463798e-002,3.780275930601468e-001,
3.729026529419736e-002},{4.557625505429792e-001,4.914932842369436e-002,
3.781847895177411e-001,3.791067683575024e-002},{4.425376937773825e-001,
5.148898190841291e-002,3.783518738637359e-001,3.853939697152988e-002},{
4.298602277084476e-001,5.378920663485787e-002,3.785289306177614e-001,
3.917651751636464e-002},{4.177069453640965e-001,5.605139045206042e-002,
3.787160464931026e-001,3.982213139548867e-002},{4.060584771999545e-001,
5.827687113517555e-002,3.789133104735820e-001,4.047633266695239e-002},{
3.948906268608474e-001,6.046699738585702e-002,3.791208137811170e-001,
4.113921654463403e-002},{3.841870232133331e-001,6.262303268347103e-002,
3.793386501060483e-001,4.181087942187154e-002},{3.739265762012089e-001,
6.474625902500740e-002,3.795669154584302e-001,4.249141889573269e-002},{
3.640921561536769e-001,6.683790154597202e-002,3.798057084001543e-001,
4.318093379194452e-002},{3.546670821834087e-001,6.889916478367825e-002,
3.800551300119356e-001,4.387952419050235e-002},{3.456348352625734e-001,
7.093123341959720e-002,3.803152839747856e-001,4.458729145197930e-002},{
3.369785561122604e-001,7.293527279624670e-002,3.805862766488284e-001,
4.530433824455851e-002},{3.286851767658728e-001,7.491239979095070e-002,
3.808682171819050e-001,4.603076857181217e-002},{3.207394347235971e-001,
7.686373551656341e-002,3.811612174764944e-001,4.676668780125029e-002},{
3.131280975545644e-001,7.879036541765304e-002,3.814653923662434e-001,
4.751220269366369e-002},{3.058374247107702e-001,8.069336289010372e-002,
3.817808596349681e-001,4.826742143328867e-002},{2.988566601058779e-001,
8.257376243678892e-002,3.821077401446526e-001,4.903245365881852e-002},{
2.921719464565475e-001,8.443261163535294e-002,3.824461578200114e-001,
4.980741049529087e-002},{2.857739928784489e-001,8.627090300499446e-002,
3.827962398805592e-001,5.059240458687936e-002},{2.796503942775182e-001,
8.808964658709946e-002,3.831581167626421e-001,5.138755013061990e-002},{
2.737916253179937e-001,8.988981115731574e-002,3.835319223574790e-001,
5.219296291110304e-002},{2.681881525413893e-001,9.167235767109909e-002,
3.839177940069860e-001,5.300876033616471e-002},{2.628297823694911e-001,
9.343824154080706e-002,3.843158726191478e-001,5.383506147361034e-002},{
2.577083882939691e-001,9.518838846980050e-002,3.847263028172936e-001,
5.467198708900604e-002},{2.528146968098489e-001,9.692372676861677e-002,
3.851492329671904e-001,5.551965968457499e-002},{2.481407625412646e-001,
9.864516159899474e-002,3.855848153536583e-001,5.637820353923723e-002},{
2.436792821405074e-001,1.003535861532541e-001,3.860332062506214e-001,
5.724774474983266e-002},{2.394228253416791e-001,1.020498895213405e-001,
3.864945660289071e-001,5.812841127356713e-002},{2.353627081090076e-001,
1.037349621793819e-001,3.869690592847504e-001,5.902033297172822e-002},{
2.314947402031453e-001,1.054096452054131e-001,3.874568550524591e-001,
5.992364165471450e-002},{2.278102791323715e-001,1.070748228351733e-001,
3.879581267137887e-001,6.083847112842353e-002},{2.243046124050026e-001,
1.087313304366365e-001,3.884730523862753e-001,6.176495724204952e-002},{
2.209710682148270e-001,1.103800228757795e-001,3.890018148594768e-001,
6.270323793734339e-002},{2.178041486530274e-001,1.120217365977945e-001,
3.895446018605192e-001,6.365345329938535e-002},{2.147992288835744e-001,
1.136572986272354e-001,3.901016061552393e-001,6.461574560892683e-002},{
2.119504441278575e-001,1.152875476716101e-001,3.906730256654490e-001,
6.559025939636390e-002},{2.092533159443932e-001,1.169133040170711e-001,
3.912590637138232e-001,6.657714149739562e-002},{2.067032739670428e-001,
1.185353897562482e-001,3.918599291191595e-001,6.757654111043797e-002},{
2.042961465696757e-001,1.201546233006569e-001,3.924758363922071e-001,
6.858860985585547e-002},{2.020274264697294e-001,1.217718271650500e-001,
3.931070059001712e-001,6.961350183708251e-002},{1.998934200278083e-001,
1.233878153258157e-001,3.937536640855738e-001,7.065137370370449e-002},{
1.978906676118772e-001,1.250034030877950e-001,3.944160436227127e-001,
7.170238471657542e-002},{1.960149967375316e-001,1.266194158856914e-001,
3.950943836109010e-001,7.276669681505510e-002},{1.942639589257347e-001,
1.282366627914691e-001,3.957889298488906e-001,7.384447468644079e-002},{
1.926334395158679e-001,1.298559775451477e-001,3.964999349368981e-001,
7.493588583769048e-002},{1.911216527090522e-001,1.314781710093624e-001,
3.972276586428074e-001,7.604110066951825e-002},{1.897244443573727e-001,
1.331040891931062e-001,3.979723679677965e-001,7.716029255296758e-002},{
1.884406453288555e-001,1.347345473673733e-001,3.987343375897471e-001,
7.829363790855320e-002},{1.872665265601232e-001,1.363704021692120e-001,
3.995138498928030e-001,7.944131628808254e-002},{1.862007615810149e-001,
1.380124863528179e-001,4.003111954501998e-001,8.060351045926381e-002},{
1.852405381185921e-001,1.396616628531729e-001,4.011266731139843e-001,
8.178040649321632e-002},{1.843843241480039e-001,1.413187870896886e-001,
4.019605904389793e-001,8.297219385500310e-002},{1.836301668974131e-001,
1.429847328561038e-001,4.028132638873196e-001,8.417906549731445e-002},{
1.829760794685091e-001,1.446603849414294e-001,4.036850191842593e-001,
8.540121795743359e-002},{1.824211264871903e-001,1.463466283642914e-001,
4.045761916625467e-001,8.663885145762512e-002},{1.819631618475816e-001,
1.480443786791565e-001,4.054871265152293e-001,8.789217000909319e-002},{
1.816016538481242e-001,1.497545442283934e-001,4.064181792768163e-001,
8.916138151966188e-002},{1.813349324261531e-001,1.514780668535952e-001,
4.073697160521965e-001,9.044669790534266e-002},{1.811620760240895e-001,
1.532158932804673e-001,4.083421140201370e-001,9.174833520595821e-002},{
1.810826213005452e-001,1.549689846495924e-001,4.093357617802799e-001,
9.306651370500112e-002},{1.810952242372437e-001,1.567383340769575e-001,
4.103510597385373e-001,9.440145805391896e-002},{1.811998433905139e-001,
1.585249366978412e-001,4.113884206505568e-001,9.575339740102104e-002},{
1.813956689375554e-001,1.603298228620418e-001,4.124482699601924e-001,
9.712256552522057e-002},{1.816823933789322e-001,1.621540381227494e-001,
4.135310463731760e-001,9.850920097482685e-002},{1.820599684503609e-001,
1.639986506841799e-001,4.146372023209510e-001,9.991354721162989e-002},{
1.825281279631850e-001,1.658647591954069e-001,4.157672044730891e-001,
1.013358527605122e-001},{1.830871732976372e-001,1.677534826607340e-001,
4.169215343307577e-001,1.027763713648546e-001},{1.837369499625757e-001,
1.696659773067486e-001,4.181006887506906e-001,1.042353621480049e-001},{
1.844781042590138e-001,1.716034189674459e-001,4.193051806207994e-001,
1.057130897811016e-001},{1.853108783667900e-001,1.735670247032512e-001,
4.205355394147057e-001,1.072098246575544e-001},{1.862361146072027e-001,
1.755580382624963e-001,4.217923119273905e-001,1.087258430745072e-001},{
1.872542658540640e-001,1.775777478187758e-001,4.230760629130649e-001,
1.102614274216203e-001},{1.883664161066458e-001,1.796274712137456e-001,
4.243873758852488e-001,1.118168663775390e-001},{1.895736042833884e-001,
1.817085709127874e-001,4.257268538261469e-001,1.133924551144239e-001},{
1.908769430286885e-001,1.838224530798516e-001,4.270951200211710e-001,
1.149884955109506e-001},{1.922778327149997e-001,1.859705667570249e-001,
4.284928189189925e-001,1.166052963742057e-001},{1.937778134238934e-001,
1.881544096840238e-001,4.299206170087649e-001,1.182431736709383e-001},{
1.953785161419524e-001,1.903755314738871e-001,4.313792037637430e-001,
1.199024507686402e-001},{1.970818360106390e-001,1.926355337251292e-001,
4.328692926418148e-001,1.215834586869736e-001},{1.988898297699773e-001,
1.949360754056711e-001,4.343916221158705e-001,1.232865363600858e-001},{
2.008046698894440e-001,1.972788765871647e-001,4.359469567739310e-001,
1.250120309103874e-001},{2.028288942436377e-001,1.996657181573041e-001,
4.375360884891066e-001,1.267602979344092e-001},{2.049649981449501e-001,
2.020984525641909e-001,4.391598376128025e-001,1.285317018013877e-001},{
2.072159412632179e-001,2.045789987236268e-001,4.408190543010555e-001,
1.303266159652730e-001},{2.095848139500683e-001,2.071093533752463e-001,
4.425146198364234e-001,1.321454232908996e-001},{2.120747994517689e-001,
2.096915950472666e-001,4.442474480766267e-001,1.339885163951064e-001},{
2.146896366486244e-001,2.123278812982627e-001,4.460184869960368e-001,
1.358562980036432e-001},{2.174330624393193e-001,2.150204647564746e-001,
4.478287202391585e-001,1.377491813247640e-001},{2.203091662968168e-001,
2.177716908634281e-001,4.496791688610775e-001,1.396675904404572e-001},{
2.233224795982417e-001,2.205840035106147e-001,4.515708931119363e-001,
1.416119607163322e-001},{2.264775934106465e-001,2.234599582551517e-001,
4.535049943124936e-001,1.435827392312657e-001},{2.297796161462891e-001,
2.264022198467781e-001,4.554826169139364e-001,1.455803852279571e-001},{
2.332339727580958e-001,2.294135744742551e-001,4.575049506012141e-001,
1.476053705856567e-001},{2.368464516137537e-001,2.324969364640791e-001,
4.595732325689487e-001,1.496581803163948e-001},{2.406231945523244e-001,
2.356553566145465e-001,4.616887499294117e-001,1.517393130861526e-001},{
2.445708289741049e-001,2.388920286712658e-001,4.638528422778431e-001,
1.538492817625101e-001},{2.486964917723498e-001,2.422102993641000e-001,
4.660669044016151e-001,1.559886139904228e-001},{2.530076500232799e-001,
2.456136819772180e-001,4.683323891611289e-001,1.581578527979037e-001},{
2.575124198255152e-001,2.491058607958477e-001,4.706508105994867e-001,
1.603575572335084e-001},{2.622194715578140e-001,2.526907061233002e-001,
4.730237471960758e-001,1.625883030377006e-001},{2.671380191367600e-001,
2.563722872425211e-001,4.754528453647684e-001,1.648506833502761e-001},{
2.722780089338211e-001,2.601548827603011e-001,4.779398231980150e-001,
1.671453094562546e-001},{2.776499422163085e-001,2.640429994212740e-001,
4.804864744277954e-001,1.694728115728024e-001},{2.832652297087600e-001,
2.680413810642935e-001,4.830946727123900e-001,1.718338396799571e-001},{
2.891360595449805e-001,2.721550304002138e-001,4.857663761527585e-001,
1.742290643981639e-001},{2.952753902018427e-001,2.763892276998674e-001,
4.885036321697845e-001,1.766591779158700e-001},{3.016972268760389e-001,
2.807495456513702e-001,4.913085827436155e-001,1.791248949706735e-001},{
3.084166142336471e-001,2.852418733111838e-001,4.941834699821898e-001,
1.816269538878832e-001},{3.154496431133436e-001,2.898724405299774e-001,
4.971306421192923e-001,1.841661176805713e-001},{3.228136488040175e-001,
2.946478403193760e-001,5.001525599745869e-001,1.867431752156427e-001},{
3.305272701993334e-001,2.995750572746494e-001,5.032518038700848e-001,
1.893589424508100e-001},{3.386106566497629e-001,3.046614955486481e-001,
5.064310810895980e-001,1.920142637477638e-001},{3.470853252620201e-001,
3.099150166755338e-001,5.096932338829231e-001,1.947100132673631e-001},{
3.559747578322673e-001,3.153439644648628e-001,5.130412481742362e-001,
1.974470964531553e-001},{3.653040508329576e-001,3.209572158003464e-001,
5.164782628307193e-001,2.002264516101224e-001},{3.751005268804078e-001,
3.267642117238987e-001,5.200075798247715e-001,2.030490515862380e-001},{
3.853936367929098e-001,3.327750113808939e-001,5.236326750964294e-001,
2.059159055650719e-001},{3.962153242954108e-001,3.390003384908145e-001,
5.273572104049557e-001,2.088280609785455e-001},{4.076002326752048e-001,
3.454516381993498e-001,5.311850461311969e-001,2.117866055497767e-001},{
4.195859580454628e-001,3.521411385938809e-001,5.351202551856762e-001,
2.147926694769877e-001},{4.322133830106544e-001,3.590819173408294e-001,
5.391671381277255e-001,2.178474277705093e-001},{4.455847504181922e-001,
3.662869712655928e-001,5.433302434909894e-001,2.209521027562080e-001},{
4.597024094143034e-001,3.737717322143078e-001,5.476143770879206e-001,
2.241079667600003e-001},{4.745555429725229e-001,3.815533474816013e-001,
5.520246277787561e-001,2.273163449897146e-001},{4.901257557583882e-001,
3.897937038015808e-001,5.566421198401972e-001,2.306327012079619e-001},{
5.063188762578222e-001,3.982520969512932e-001,5.613313187177943e-001,
2.339568479963076e-001},{5.231506865568163e-001,4.069158720726419e-001,
5.660827733888582e-001,2.372813206159511e-001},{5.406462578991202e-001,
4.157904644940312e-001,5.708968304793926e-001,2.406057414176632e-001},{
5.588316450226307e-001,4.248814441409453e-001,5.757738454519713e-001,
2.439297408582211e-001},{5.777342003001672e-001,4.341945133486757e-001,
5.807141825807703e-001,2.472529573723387e-001},{5.973823532328585e-001,
4.437355186814879e-001,5.857182148492396e-001,2.505750372458956e-001},{
6.178058903813788e-001,4.535104497074449e-001,5.907863239449198e-001,
2.538956344906717e-001},{6.390358272679809e-001,4.635254487171909e-001,
5.959189001915087e-001,2.572144107206164e-001},{6.611046329585031e-001,
4.737868116278242e-001,6.011163425492457e-001,2.605310350297160e-001},{
6.840461012924548e-001,4.843009977730023e-001,6.063790585717825e-001,
2.638451838715473e-001},{7.078955339544499e-001,4.950746315277593e-001,
6.117074644259439e-001,2.671565409405211e-001},{7.326898428585754e-001,
5.061145075622476e-001,6.171019848856783e-001,2.704647970548958e-001},{
7.584674735300413e-001,5.174275997007870e-001,6.225630533267513e-001,
2.737696500416191e-001},{7.852685225837038e-001,5.290210645205079e-001,
6.280911117643314e-001,2.770708046228762e-001},{8.131349523353069e-001,
5.409022444662868e-001,6.336866108855748e-001,2.803679723045419e-001},{
8.421104635778781e-001,5.530786787453849e-001,6.393500100554367e-001,
2.836608712664611e-001},{8.722406215697443e-001,5.655581071809576e-001,
6.450817773793988e-001,2.869492262544884e-001},{9.035731218920524e-001,
5.783484730140734e-001,6.508823897607542e-001,2.902327684744185e-001},{
9.361575777347176e-001,5.914579359394194e-001,6.567523329200065e-001,
2.935112354877266e-001},{9.700458060496284e-001,6.048948732292336e-001,
6.626921014911419e-001,2.967843711090281e-001},{1.005291989370011e+000,
6.186678860505348e-001,6.687021990776449e-001,3.000519253054242e-001},{
1.041952490869116e+000,6.327858120001110e-001,6.747831383002202e-001,
3.033136540975303e-001},{1.080086214331775e+000,6.472577257095189e-001,
6.809354409115697e-001,3.065693194622796e-001},{1.119754627068662e+000,
6.620929484858137e-001,6.871596378556201e-001,3.098186892373309e-001},{
1.161021912738447e+000,6.773010550003773e-001,6.934562693572517e-001,
3.130615370273069e-001},{1.203954887498334e+000,6.928918842065448e-001,
6.998258850011435e-001,3.162976421114647e-001},{1.248623406898427e+000,
7.088755407142894e-001,7.062690438568339e-001,3.195267893531296e-001},{
1.295100419859135e+000,7.252624056040015e-001,7.127863145497119e-001,
3.227487691105891e-001},{1.343461839212578e+000,7.420631486316124e-001,
7.193782753529641e-001,3.259633771495041e-001},{1.393787066100554e+000,
7.592887285293669e-001,7.260455143290677e-001,3.291704145568307e-001},{
1.446158832199879e+000,7.769504079175785e-001,7.327886293986805e-001,
3.323696876561625e-001},{1.500663624657993e+000,7.950597567053790e-001,
7.396082284751718e-001,3.355610079244260e-001},{1.557391483641027e+000,
8.136286676665213e-001,7.465049295460156e-001,3.387441919099931e-001},{
1.616436486202836e+000,8.326693587008284e-001,7.534793608199935e-001,
3.419190611519823e-001},{1.677896904646256e+000,8.521943838823333e-001,
7.605321608220843e-001,3.450854421009717e-001},{1.741874983769677e+000,
8.722166491849841e-001,7.676639784917609e-001,3.482431660408027e-001},{
1.808477704796359e+000,8.927494114574271e-001,7.748754733450998e-001,
3.513920690115978e-001},{1.877816685279789e+000,9.138062955612120e-001,
7.821673155490562e-001,3.545319917339357e-001},{1.950008110826083e+000,
9.354013076198702e-001,7.895401860415601e-001,3.576627795341115e-001},{
2.025176264842242e+000,9.575488033850547e-001,7.969947767714907e-001,
3.607842822704026e-001},{2.103446939662919e+000,9.802636143987048e-001,
8.045317904513486e-001,3.638963542604584e-001},{2.184913845243859e+000,
1.003561394684095e+000,8.121519401501026e-001,3.669988542095216e-001},{
2.269763220050740e+000,1.027456793165435e+000,8.198559544878306e-001,
3.700916451436019e-001},{2.357786913578639e+000,1.051969888877999e+000,
8.276445572115562e-001,3.731745943241333e-001},{2.448578982729761e+000,
1.077119371791434e+000,8.355184943898608e-001,3.762475732019303e-001},{
2.554495397712962e+000,1.102780965056649e+000,8.434788475409446e-001,
3.793104573307565e-001},{2.636142944230747e+000,1.129517864911584e+000,
8.515248441466035e-001,3.823631262876039e-001},{2.753576242195605e+000,
1.156408150188240e+000,8.596606204334905e-001,3.854054635554983e-001},{
2.858337969405045e+000,1.184320228835573e+000,8.678832015184743e-001,
3.884373570657307e-001},{2.971207245092491e+000,1.212877645710290e+000,
8.761955271692427e-001,3.914586976410320e-001},{3.088790819517250e+000,
1.242174717307695e+000,8.845979360059516e-001,3.944693805727305e-001},{
3.211290782525183e+000,1.272231405920666e+000,8.930912596503021e-001,
3.974693046888215e-001},{3.338918141302322e+000,1.303068219692468e+000,
9.016763420849130e-001,4.004583724710529e-001},{3.471892018272730e+000,
1.334706240150083e+000,9.103540397044045e-001,4.034364899924997e-001},{
3.610440645775533e+000,1.367167120982722e+000,9.191252214485987e-001,
4.064035668556145e-001},{3.754800508814665e+000,1.400473111418473e+000,
9.279907688104051e-001,4.093595161310653e-001},{3.905216477735271e+000,
1.434647058532653e+000,9.369515758788880e-001,4.123042542968515e-001},{
4.065670804884121e+000,1.469678174488928e+000,9.460086192933500e-001,
4.152377011781764e-001},{4.237761502904625e+000,1.505565867821763e+000,
9.551628791098028e-001,4.181597798876018e-001},{4.423332904730818e+000,
1.542298398896243e+000,9.644154775777063e-001,4.210704167656975e-001},{
4.624516092786303e+000,1.583704725720241e+000,9.746473707878920e-001,
4.242404029888883e-001},{4.850196574686571e+000,1.626991736963335e+000,
9.851937689726753e-001,4.274553962053975e-001},{5.056790030629979e+000,
1.672846557345158e+000,9.960690537668240e-001,4.307167462684177e-001},{
5.322780585611914e+000,1.720316041896115e+000,1.007293551783249e+000,
4.340258706136082e-001},{5.581856116174721e+000,1.770664322860376e+000,
1.018880860299036e+000,4.373842594703593e-001},{5.866088407465559e+000,
1.823520560177389e+000,1.030853140388873e+000,4.407934798537482e-001},{
6.171923002120571e+000,1.879189565923113e+000,1.043230569280668e+000,
4.442551829095663e-001},{6.501535536191801e+000,1.937885751613769e+000,
1.056035595849955e+000,4.477711093076880e-001},{6.857377194386117e+000,
1.999844889612192e+000,1.069292431020710e+000,4.513430963808631e-001},{
7.242214043652889e+000,2.065326797427353e+000,1.083027227973919e+000,
4.549730857610047e-001},{7.659178646510535e+000,2.134618343011173e+000,
1.097268285542566e+000,4.586631318040277e-001},{8.111827066134506e+000,
2.208036973520845e+000,1.112046277772487e+000,4.624154109045757e-001},{
8.604208529071581e+000,2.285934758959754e+000,1.127394514184514e+000,
4.662322318172514e-001},{9.140948252644797e+000,2.368703086413673e+000,
1.143349235435159e+000,4.701160471199221e-001},{9.727346257355944e+000,
2.456778125271054e+000,1.159949950207535e+000,4.740694659762598e-001},{
1.036949636473117e+001,2.550647201445953e+000,1.177239820295516e+000,
4.780952683808142e-001},{1.107442943815378e+001,2.650856267473131e+000,
1.195266102140809e+000,4.821964211012327e-001},{1.185028605617332e+001,
2.758018689992081e+000,1.214080654794935e+000,4.863760955695670e-001},{
1.270652798974013e+001,2.872825592971998e+000,1.233740526395416e+000,
4.906376880197966e-001},{1.365419174621447e+001,2.996058162729545e+000,
1.254308633466170e+000,4.949848422233832e-001},{1.470620059822895e+001,
3.128602227412618e+000,1.275854551067133e+000,4.994214752410865e-001},{
1.587774199700023e+001,3.271465705618580e+000,1.298455434935754e+000,
5.039518066908264e-001},{1.720674254013149e+001,3.425586345730544e+000,
1.322197606263238e+000,5.085803921309422e-001},{1.863402248089567e+001,
3.593353579496717e+000,1.347174025974930e+000,5.133121612816782e-001},{
2.032390211918452e+001,3.774153760759719e+000,1.373499219827730e+000,
5.181524619605369e-001},{2.218601347832784e+001,3.971869398731903e+000,
1.401284417001323e+000,5.231071115480921e-001},{2.431252464422925e+001,
4.187482117105547e+000,1.430671346578243e+000,5.281824536278078e-001},{
2.673985851010544e+001,4.423583955149483e+000,1.461812601611662e+000,
5.333854293394883e-001},{2.952491937183151e+001,4.682968036424375e+000,
1.494883366150635e+000,5.387236561640727e-001},{3.273828578159125e+001,
4.968928762622564e+000,1.530083871593750e+000,5.442055229446516e-001},{
3.646825750913934e+001,5.285374439016692e+000,1.567644134852697e+000,
5.498403020789376e-001},{4.082633712570511e+001,5.636970657586560e+000,
1.607829829067538e+000,5.556382833229866e-001},{4.595475926455129e+001,
6.029324175734520e+000,1.650949619985925e+000,5.616109344677590e-001},{
5.203696918320384e+001,6.469220871161562e+000,1.697364417633431e+000,
5.677710957231201e-001},{5.931241581636025e+001,6.964936570782171e+000,
1.747499159582017e+000,5.741332167790794e-001},{6.809776191782187e+001,
7.526647036007701e+000,1.801857981792066e+000,5.807136484549547e-001},{
7.881778054554678e+001,8.166974540194117e+000,1.861043982241702e+000,
5.875310049495474e-001},{9.207856359262058e+001,8.901415236315513e+000,
1.925786076833259e+000,5.946066185193436e-001},{1.085962925592044e+002,
9.751235331139156e+000,1.996968777326911e+000,6.019651167819492e-001},{
1.296612727594772e+002,1.073953725331416e+001,2.075696926484503e+000,
6.096351651125727e-001},{1.568149508938095e+002,1.190149594899319e+001,
2.163329563019325e+000,6.176504358167556e-001},{1.925895489261716e+002,
1.327895255374134e+001,2.261610095071371e+000,6.260508899137490e-001},{
2.407894220277205e+002,1.492863095592906e+001,2.372777247256969e+000,
6.348845111387734e-001},{3.074933991972216e+002,1.692543720677949e+001,
2.499777113694852e+000,6.442096900359834e-001},{4.028115941258301e+002,
1.936864049070909e+001,2.646574749423806e+000,6.540985866240505e-001},{
5.444627680553028e+002,2.238732251366779e+001,2.818658896530704e+000,
6.646420006807281e-001},{7.654263901392872e+002,2.613984326739216e+001,
3.023895327133340e+000,6.759566538738164e-001},{1.132473145221229e+003,
3.077464245663644e+001,3.274097890822487e+000,6.881964979202373e-001},{
1.728456306009293e+003,3.703669144378617e+001,3.586095407785845e+000,
7.015710980094141e-001},{2.746345210190641e+003,4.636511685430635e+001,
3.986312539776484e+000,7.163772638856115e-001},{4.641775374977525e+003,
6.199723710600262e+001,4.516428772903993e+000,7.330575520262050e-001},{
8.525657962231340e+003,6.810054194649604e+001,5.081630948855855e+000,
7.472071449747022e-001},{1.741572862879567e+004,6.219045752188775e+001,
5.890642485434674e+000,7.632728136051337e-001},{3.813458054210775e+004,
5.370618375512508e+001,7.124228169883730e+000,7.828757764751582e-001},{
8.589158440190039e+004,1.090981683303350e+002,8.902873285623791e+000,
8.059157661363586e-001},{1.951303750681718e+005,2.375849575768755e+002,
1.117514113283684e+001,8.277377240352704e-001},{4.782548713012288e+005,
1.986473214368117e+002,1.394735114459777e+001,8.459822722289891e-001},{
1.185655347397813e+006,-2.174684780917248e+002,1.762979102357640e+001,
8.629254292602320e-001},{2.750846962420604e+006,-1.629109294341851e+002,
2.259666061556802e+001,8.814128590616266e-001},{6.123913630880820e+006,
4.322208699496733e+003,2.998861227777463e+001,9.042234397623542e-001},{
1.223685185147719e+007,8.090218357744150e+003,3.638774289535504e+001,
9.167366942666613e-001},{2.818621443600825e+007,3.085711548192580e+003,
4.135729893033309e+001,9.225727665578074e-001},{8.316585285067827e+007,
-1.136324148807467e+004,5.196252092604191e+001,9.326388658049112e-001},
{2.794244200228550e+008,-6.113667992222013e+004,7.038061963269288e+001,
9.435863614001085e-001},{9.252325428804928e+008,-5.487463721818197e+004,
9.110802490104044e+001,9.579454741567480e-001},{2.237265034221097e+009,
6.896819415082679e+004,1.142108494843807e+002,9.677749072712486e-001},{
1.597732512872630e+013,-7.580581567199930e+008,8.988788796440838e+003,
9.741584695812871e-001}};
constant Real[Ninterval, 4] hlcoef={{7.395064117384627e+009,-1.280865388176200e+006,
2.821575750527614e+002,1.833836171003976e-001},{6.597504135407492e+009,
-1.212511325876777e+006,2.753491351615672e+002,1.841406426859871e-001},
{5.780271674084454e+009,-1.152633155136978e+006,2.697490006419553e+002,
1.847764786820451e-001},{4.958860729534658e+009,-1.042899311995140e+006,
2.575580906113897e+002,1.862237508639398e-001},{4.254225882522524e+009,
-9.436430636231016e+005,2.459280611632260e+002,1.876807622923263e-001},
{3.649929287231926e+009,-8.538684890799312e+005,2.348330720290646e+002,
1.891475943673219e-001},{3.131540328303725e+009,-7.726606490030770e+005,
2.242477593033248e+002,1.906244199793511e-001},{2.686884429215740e+009,
-6.992021917100513e+005,2.141484795719950e+002,1.921113515976508e-001},
{2.305436681190764e+009,-6.327500405900241e+005,2.045124826635191e+002,
1.936085324364108e-001},{1.978225892136117e+009,-5.726354169435729e+005,
1.953183098525792e+002,1.951160756856359e-001},{1.697521363709874e+009,
-5.182511799267425e+005,1.865453222831365e+002,1.966341253040380e-001},
{1.456683048691095e+009,-4.690492050108880e+005,1.781740380829120e+002,
1.981627952385604e-001},{1.250074360886440e+009,-4.245346083004282e+005,
1.701855963205966e+002,1.997022606387281e-001},{1.072800606962726e+009,
-3.842582037066196e+005,1.625621803354005e+002,2.012526666726048e-001},
{9.207021541607516e+008,-3.478163169361438e+005,1.552869834519622e+002,
2.028141285158312e-001},{7.901943344753319e+008,-3.148419383589053e+005,
1.483437057813515e+002,2.043868226073761e-001},{6.782161334430934e+008,
-2.850048993978956e+005,1.417170959818027e+002,2.059708649963459e-001},
{5.825727219202920e+008,-2.580214571990632e+005,1.353924992211892e+002,
2.075664330398644e-001},{5.018477901925672e+008,-2.336618459414496e+005,
1.293563597550240e+002,2.091736741482984e-001},{4.336339749859386e+008,
-2.116826692784306e+005,1.235956428311352e+002,2.107927362153820e-001},
{3.759101976651321e+008,-1.921682462515702e+005,1.182042406216403e+002,
2.123911161514204e-001},{3.267571477181848e+008,-1.752745050595466e+005,
1.133228792803702e+002,2.139142206063779e-001},{2.843020873596044e+008,
-1.599683613280694e+005,1.086775876446765e+002,2.154377045739531e-001},
{2.475979262638457e+008,-1.460916038079511e+005,1.042554766441906e+002,
2.169615822712266e-001},{2.158340827399827e+008,-1.335024950386115e+005,
1.000444324122937e+002,2.184858675939239e-001},{1.883207309006085e+008,
-1.220742895035692e+005,9.603307088337355e+001,2.200105741258566e-001},
{1.644651841228906e+008,-1.116932087097448e+005,9.221068373842154e+001,
2.215357151481048e-001},{1.437632632379007e+008,-1.022574640228438e+005,
8.856720217299345e+001,2.230613036479431e-001},{1.257801607275091e+008,
-9.367549193296053e+004,8.509314677627712e+001,2.245873523275273e-001},
{1.101454874055535e+008,-8.586529010338520e+004,8.177959848067110e+001,
2.261138736123414e-001},{9.653972368356156e+007,-7.875303244948787e+004,
7.861815481978856e+001,2.276408796594130e-001},{8.468871988652200e+007,
-7.227239695689626e+004,7.560090235615557e+001,2.291683823653079e-001},
{7.435767250336401e+007,-6.636379223835093e+004,7.272038489459962e+001,
2.306963933739068e-001},{6.534286001294021e+007,-6.097342167031716e+004,
6.996957046343296e+001,2.322249240839693e-001},{5.747027807155222e+007,
-5.605298520200417e+004,6.734183209615867e+001,2.337539856564991e-001},
{5.058892155208572e+007,-5.155884014645571e+004,6.483091539577785e+001,
2.352835890219054e-001},{4.456897749091873e+007,-4.745168641553626e+004,
6.243092046710518e+001,2.368137448869720e-001},{3.929797808634566e+007,
-4.369602037553607e+004,6.013627711697743e+001,2.383444637416446e-001},
{3.467909626236541e+007,-4.025982723829874e+004,5.794172688510435e+001,
2.398757558656324e-001},{3.062784360211651e+007,-3.711410238256247e+004,
5.584230094500428e+001,2.414076313348311e-001},{2.707199455967587e+007,
-3.423274054960324e+004,5.383330780575171e+001,2.429401000275848e-001},
{2.394806063151847e+007,-3.159200650084850e+004,5.191030928225440e+001,
2.444731716307669e-001},{2.120145854494023e+007,-2.917049319028297e+004,
5.006911233397096e+001,2.460068556457158e-001},{1.878470848130406e+007,
-2.694879400670043e+004,4.830575024370947e+001,2.475411613940012e-001},
{1.665640139112113e+007,-2.490930349109187e+004,4.661646985518280e+001,
2.490760980230453e-001},{1.478065625824185e+007,-2.303608166989841e+004,
4.499772037807755e+001,2.506116745115950e-001},{1.312624886938225e+007,
-2.131466500927661e+004,4.344614015879794e+001,2.521478996750478e-001},
{1.166585545469223e+007,-1.973190580002538e+004,4.195854541513062e+001,
2.536847821706443e-001},{1.037575804683703e+007,-1.827588228385652e+004,
4.053192137337701e+001,2.552223305025196e-001},{9.235229821301350e+006,
-1.693575336267236e+004,3.916341110770780e+001,2.567605530266264e-001},
{8.226161529454760e+006,-1.570166014825697e+004,3.785030689607822e+001,
2.582994579555294e-001},{7.332714409838634e+006,-1.456463239248035e+004,
3.659004174391924e+001,2.598390533630776e-001},{6.541067280596239e+006,
-1.351651109839700e+004,3.538018157148768e+001,2.613793471889549e-001},
{5.839089097217685e+006,-1.254985887421323e+004,3.421841707983741e+001,
2.629203472431124e-001},{5.216174993443639e+006,-1.165790355620624e+004,
3.310255732922824e+001,2.644620612100892e-001},{4.663018167146263e+006,
-1.083446843025749e+004,3.203052265688924e+001,2.660044966532249e-001},
{4.171444464302824e+006,-1.007391792850541e+004,3.100033862903940e+001,
2.675476610187589e-001},{3.734291063599596e+006,-9.371112234283090e+003,
3.001013038565671e+001,2.690915616398324e-001},{3.345264196959495e+006,
-8.721357281608769e+003,2.905811682622430e+001,2.706362057403845e-001},
{2.998804824052956e+006,-8.120359510245587e+003,2.814260537246550e+001,
2.721816004389522e-001},{2.690059117043254e+006,-7.564203866773062e+003,
2.726198786072066e+001,2.737277527523759e-001},{2.414722165518809e+006,
-7.049301389752438e+003,2.641473480407623e+001,2.752746695994082e-001},
{2.169006576676412e+006,-6.572371181362734e+003,2.559939204631222e+001,
2.768223578042399e-001},{1.949589547380671e+006,-6.130413910998713e+003,
2.481457654061498e+001,2.783708240999319e-001},{1.753513335070667e+006,
-5.720675273235230e+003,2.405897188170692e+001,2.799200751317631e-001},
{1.578181984153911e+006,-5.340636910887383e+003,2.333132571024671e+001,
2.814701174605012e-001},{1.421296797534924e+006,-4.987988415116040e+003,
2.263044564557126e+001,2.830209575655875e-001},{1.280826297625475e+006,
-4.660611060652745e+003,2.195519632940761e+001,2.845726018482448e-001},
{1.154967887885402e+006,-4.356559333855659e+003,2.130449633293048e+001,
2.861250566345134e-001},{1.042131487251255e+006,-4.074049315833184e+003,
2.067731557349638e+001,2.876783281782094e-001},{9.409048828988477e+005,
-3.811441190960783e+003,2.007267232055989e+001,2.892324226638147e-001},
{8.500340926125752e+005,-3.567227768237408e+003,1.948963084447095e+001,
2.907873462092958e-001},{7.684098011669957e+005,-3.340024748034876e+003,
1.892729914062116e+001,2.923431048688557e-001},{6.950454961539843e+005,
-3.128558197222760e+003,1.838482647741899e+001,2.938997046356221e-001},
{6.290634426463042e+005,-2.931655562235562e+003,1.786140137631819e+001,
2.954571514442698e-001},{5.696851277746989e+005,-2.748238224841836e+003,
1.735624969777203e+001,2.970154511735833e-001},{5.162174096472578e+005,
-2.577312465118152e+003,1.686863261843808e+001,2.985746096489578e-001},
{4.680412177608077e+005,-2.417962027029424e+003,1.639784486931878e+001,
3.001346326448444e-001},{4.246092785921820e+005,-2.269344049512283e+003,
1.594321324426641e+001,3.016955258871379e-001},{3.854290946306968e+005,
-2.130679129811940e+003,1.550409461031256e+001,3.032572950555081e-001},
{3.500644784375472e+005,-2.001249801636266e+003,1.507987485327908e+001,
3.048199457856796e-001},{3.181254941087923e+005,-1.880393392444164e+003,
1.466996714224077e+001,3.063834836716620e-001},{2.892627964124076e+005,
-1.767497553444107e+003,1.427381064630017e+001,3.079479142679245e-001},
{2.631658597077979e+005,-1.661997457406561e+003,1.389086939175560e+001,
3.095132430915293e-001},{2.395556802770178e+005,-1.563370394708744e+003,
1.352063085122437e+001,3.110794756242089e-001},{2.181834226552594e+005,
-1.471133577957063e+003,1.316260497547039e+001,3.126466173144076e-001},
{1.988261272748282e+005,-1.384840332961980e+003,1.281632300534341e+001,
3.142146735792670e-001},{1.812841164270276e+005,-1.304077374256214e+003,
1.248133648021494e+001,3.157836498065826e-001},{1.653780267940605e+005,
-1.228461972770334e+003,1.215721625109387e+001,3.173535513567038e-001},
{1.509481016353733e+005,-1.157640295687853e+003,1.184355163838609e+001,
3.189243835644045e-001},{1.378494330329677e+005,-1.091283635929976e+003,
1.153994936397996e+001,3.204961517407096e-001},{1.259533798538558e+005,
-1.029088314073179e+003,1.124603300581368e+001,3.220688611746812e-001},
{1.151434947602917e+005,-9.707721560066344e+002,1.096144193815056e+001,
3.236425171351746e-001},{1.053155086752598e+005,-9.160737446488935e+002,
1.068583076706654e+001,3.252171248725524e-001},{9.637539799014138e+004,
-8.647503663978431e+002,1.041886853531754e+001,3.267926896203659e-001},
{8.823888454783670e+004,-8.165769553308005e+002,1.016023811189488e+001,
3.283692165970028e-001},{8.082975256302909e+004,-7.713442852693606e+002,
9.909635478268301e+000,3.299467110073037e-001},{7.407960702001616e+004,
-7.288582119329744e+002,9.666769207898108e+000,3.315251780441446e-001},
{6.792665838390439e+004,-6.889382110921721e+002,9.431359824692734e+000,
3.331046228899912e-001},{6.231526198828789e+004,-6.514165353801458e+002,
9.203139298263135e+000,3.346850507184217e-001},{5.719513812339059e+004,
-6.161371424524319e+002,8.981850501633565e+000,3.362664666956208e-001},
{5.252104982234649e+004,-5.829549835215390e+002,8.767246744918761e+000,
3.378488759818509e-001},{4.825192751323921e+004,-5.517349069002831e+002,
8.559091257223685e+000,3.394322837328866e-001},{4.435085262412058e+004,
-5.223512693230589e+002,8.357156812102812e+000,3.410166951014356e-001},
{4.078431692402485e+004,-4.946869454272916e+002,8.161225235617962e+000,
3.426021152385257e-001},{3.752210023182508e+004,-4.686329059593669e+002,
7.971087052548851e+000,3.441885492948688e-001},{3.453677849407373e+004,
-4.440874766662903e+002,7.786541067524770e+000,3.457760024222062e-001},
{3.180355626502269e+004,-4.209559160395517e+002,7.607394028698087e+000,
3.473644797746268e-001},{2.929998425341201e+004,-3.991498796401928e+002,
7.433460265705899e+000,3.489539865098665e-001},{2.700568725535247e+004,
-3.785869240593804e+002,7.264561353833670e+000,3.505445277905829e-001},
{2.490219323552633e+004,-3.591901229932722e+002,7.100525811207305e+000,
3.521361087856166e-001},{2.297274465666998e+004,-3.408876693791219e+002,
6.941188795306921e+000,3.537287346712248e-001},{2.120214641232764e+004,
-3.236125217409932e+002,6.786391817255598e+000,3.553224106323019e-001},
{1.957657344633676e+004,-3.073020267951967e+002,6.635982461076544e+000,
3.569171418635831e-001},{1.808347931117164e+004,-2.918976581600808e+002,
6.489814137991496e+000,3.585129335708239e-001},{1.671146762926517e+004,
-2.773447131490234e+002,6.347745831608338e+000,3.601097909719717e-001},
{1.545013740159694e+004,-2.635920046989097e+002,6.209641855271004e+000,
3.617077192983143e-001},{1.429006951012745e+004,-2.505917089097457e+002,
6.075371650375700e+000,3.633067237956181e-001},{1.322266968511326e+004,
-2.382990480062072e+002,5.944809543387017e+000,3.649068097252486e-001},
{1.224010132039165e+004,-2.266721040737960e+002,5.817834554960569e+000,
3.665079823652802e-001},{1.133523722405783e+004,-2.156716504900735e+002,
5.694330210582269e+000,3.681102470115885e-001},{1.050158642348279e+004,
-2.052609525375157e+002,5.574184345532527e+000,3.697136089789342e-001},
{9.733206313299734e+003,-1.954055676141257e+002,5.457288921742155e+000,
3.713180736020321e-001},{9.024700730222718e+003,-1.860732540723482e+002,
5.343539877398015e+000,3.729236462366104e-001},{8.371123402082400e+003,
-1.772337586979163e+002,5.232836941729546e+000,3.745303322604583e-001},
{7.767976360117369e+003,-1.688587391346637e+002,5.125083500057396e+000,
3.761381370744614e-001},{7.211132037590188e+003,-1.609215840176348e+002,
5.020186427402752e+000,3.777470661036311e-001},{6.696830442802067e+003,
-1.533973451085674e+002,4.918055965107774e+000,3.793571247981251e-001},
{6.221630107308341e+003,-1.462626001578099e+002,4.818605572961186e+000,
3.809683186342531e-001},{5.782380642858814e+003,-1.394953568738606e+002,
4.721751803873504e+000,3.825806531154816e-001},{5.376201651577415e+003,
-1.330749668179309e+002,4.627414182825382e+000,3.841941337734274e-001},
{5.000455207451565e+003,-1.269820315075479e+002,4.535515085732524e+000,
3.858087661688454e-001},{4.652724834587218e+003,-1.211983226404149e+002,
4.445979627643788e+000,3.874245558926092e-001},{4.330795240187265e+003,
-1.157067060614417e+002,4.358735554805467e+000,3.890415085666860e-001},
{4.032641019365463e+003,-1.104910799208306e+002,4.273713143506992e+000,
3.906596298451056e-001},{3.756394747613435e+003,-1.055362848885977e+002,
4.190845093212067e+000,3.922789254149277e-001},{3.500354297338667e+003,
-1.008280802229431e+002,4.110066446614686e+000,3.938994009971991e-001},
{3.262950609227280e+003,-9.635305138220821e+001,4.031314482734651e+000,
3.955210623479115e-001},{3.042742369663052e+003,-9.209857304695458e+001,
3.954528640335044e+000,3.971439152589546e-001},{2.838413065597216e+003,
-8.805277060758006e+001,3.879650436609394e+000,3.987679655590649e-001},
{2.648742989264185e+003,-8.420444188141711e+001,3.806623374949973e+000,
4.003932191147761e-001},{2.472617600983757e+003,-8.054304904610477e+001,
3.735392885948790e+000,4.020196818313603e-001},{2.309012318091831e+003,
-7.705866086409024e+001,3.665906242883802e+000,4.036473596537750e-001},
{2.156978720419112e+003,-7.374190599668950e+001,3.598112490902449e+000,
4.052762585676071e-001},{2.015650036432498e+003,-7.058396265218144e+001,
3.531962391385521e+000,4.069063846000124e-001},{1.884225012048499e+003,
-6.757650377249485e+001,3.467408345228365e+000,4.085377438206608e-001},
{1.761967295914424e+003,-6.471167807273380e+001,3.404404338708559e+000,
4.101703423426775e-001},{1.648196125371299e+003,-6.198207308290163e+001,
3.342905880402665e+000,4.118041863235865e-001},{1.542286784888126e+003,
-5.938069940472492e+001,3.282869949941535e+000,4.134392819662572e-001},
{1.443661841752103e+003,-5.690095495331793e+001,3.224254937399627e+000,
4.150756355198507e-001},{1.351787821483400e+003,-5.453660450267201e+001,
3.167020594458915e+000,4.167132532807668e-001},{1.266175045567968e+003,
-5.228176450788781e+001,3.111127986917860e+000,4.183521415935981e-001},
{1.186368387856992e+003,-5.013086904303047e+001,3.056539439710153e+000,
4.199923068520857e-001},{1.111950039713011e+003,-4.807866488602586e+001,
3.003218499628963e+000,4.216337555000751e-001},{1.042532610364972e+003,
-4.612018271016708e+001,2.951129883955490e+000,4.232764940324793e-001},
{9.777589417052835e+002,-4.425072650328128e+001,2.900239442556008e+000,
4.249205289962486e-001},{9.172983979562611e+002,-4.246585399078810e+001,
2.850514114630586e+000,4.265658669913391e-001},{8.608453554430503e+002,
-4.076136366761418e+001,2.801921891149074e+000,4.282125146716945e-001},
{8.081171471965247e+002,-3.913328048140521e+001,2.754431776852438e+000,
4.298604787462255e-001},{7.588523354947266e+002,-3.757784280141392e+001,
2.708013754148967e+000,4.315097659798046e-001},{7.128085053227204e+002,
-3.609148886941360e+001,2.662638747952767e+000,4.331603831942572e-001},
{6.697616301899591e+002,-3.467084767166227e+001,2.618278593896983e+000,
4.348123372693731e-001},{6.295038171706216e+002,-3.331272564117698e+001,
2.574906004565767e+000,4.364656351439127e-001},{5.918428655279847e+002,
-3.201409883532291e+001,2.532494540378606e+000,4.381202838166297e-001},
{5.565999606334636e+002,-3.077210029665694e+001,2.491018578065730e+000,
4.397762903473017e-001},{5.236101967728564e+002,-2.958401561514848e+001,
2.450453285249495e+000,4.414336618577676e-001},{4.927195823157568e+002,
-2.844726859478019e+001,2.410774588999436e+000,4.430924055329756e-001},
{4.637860960803320e+002,-2.735941953218890e+001,2.371959154294425e+000,
4.447525286220433e-001},{4.366774822365882e+002,-2.631815311065120e+001,
2.333984354679967e+000,4.464140384393267e-001},{4.112710296977796e+002,
-2.532127349245170e+001,2.296828250141353e+000,4.480769423654994e-001},
{3.874528219662709e+002,-2.436669747558107e+001,2.260469563259040e+000,
4.497412478486488e-001},{3.651169185882785e+002,-2.345244781267422e+001,
2.224887656378541e+000,4.514069624053770e-001},{3.441650927913553e+002,
-2.257664839246537e+001,2.190062510638771e+000,4.530740936219221e-001},
{3.245056450427372e+002,-2.173751677003992e+001,2.155974703738442e+000,
4.547426491552871e-001},{3.060536399057885e+002,-2.093336163040314e+001,
2.122605392018528e+000,4.564126367343871e-001},{2.887300097307417e+002,
-2.016257613322068e+001,2.089936289195907e+000,4.580840641612062e-001},
{2.724610482918949e+002,-1.942363328612018e+001,2.057949648179311e+000,
4.597569393119745e-001},{2.571781773457540e+002,-1.871508235114862e+001,
2.026628243849622e+000,4.614312701383573e-001},{2.428177694319144e+002,
-1.803554520313706e+001,1.995955355734756e+000,4.631070646686624e-001},
{2.293201220245030e+002,-1.738371018461584e+001,1.965914749708475e+000,
4.647843310090629e-001},{2.166301416228736e+002,-1.675833219262003e+001,
1.936490665160709e+000,4.664630773448359e-001},{2.046961071710434e+002,
-1.615822543778556e+001,1.907667795779915e+000,4.681433119416241e-001},
{1.934698629445243e+002,-1.558226242939191e+001,1.879431277425193e+000,
4.698250431467114e-001},{1.829066943899449e+002,-1.502937113484294e+001,
1.851766673341252e+000,4.715082793903179e-001},{1.729646537632953e+002,
-1.449853037846985e+001,1.824659958829607e+000,4.731930291869178e-001},
{1.636047362947269e+002,-1.398876887679239e+001,1.798097509845817e+000,
4.748793011365756e-001},{1.547905996606153e+002,-1.349916208755315e+001,
1.772066089112747e+000,4.765671039263029e-001},{1.464881127185945e+002,
-1.302882884420155e+001,1.746552833172282e+000,4.782564463314370e-001},
{1.386655781437395e+002,-1.257693080761831e+001,1.721545242210061e+000,
4.799473372170469e-001},{1.312933609201193e+002,-1.214266917026167e+001,
1.697031166940830e+000,4.816397855393539e-001},{1.243436673524583e+002,
-1.172528246603632e+001,1.672998797715616e+000,4.833338003471823e-001},
{1.177906812224748e+002,-1.132404579365274e+001,1.649436654853634e+000,
4.850293907834343e-001},{1.116101176422379e+002,-1.093826750962181e+001,
1.626333576621976e+000,4.867265660865868e-001},{1.057793766234323e+002,
-1.056728882118992e+001,1.603678710849861e+000,4.884253355922194e-001},
{1.002772484594161e+002,-1.021048121888435e+001,1.581461504068653e+000,
4.901257087345642e-001},{9.508393109691426e+001,-9.867245539491131e+000,
1.559671692999208e+000,4.918276950480881e-001},{9.018086100582940e+001,
-9.537010120052251e+000,1.538299295044362e+000,4.935313041690984e-001},
{8.555069486770042e+001,-9.219229747811003e+000,1.517334600000931e+000,
4.952365458373848e-001},{8.117714599214482e+001,-8.913383954440521e+000,
1.496768161220113e+000,4.969434298978837e-001},{7.704503147414225e+001,
-8.618976357910185e+000,1.476590788161609e+000,4.986519663023814e-001},
{7.314002294338168e+001,-8.335532613364549e+000,1.456793537585971e+000,
5.003621651112420e-001},{6.944879810386360e+001,-8.062600431450619e+000,
1.437367707389535e+000,5.020740364951754e-001},{6.595880156239269e+001,
-7.799747511242599e+000,1.418304827863057e+000,5.037875907370351e-001},
{6.265828559603662e+001,-7.546561136231898e+000,1.399596655606285e+000,
5.055028382336494e-001},{5.953623627670859e+001,-7.302647062139070e+000,
1.381235166362647e+000,5.072197894976949e-001},{5.658229760929855e+001,
-7.067628502368594e+000,1.363212548354849e+000,5.089384551595994e-001},
{5.378678727776725e+001,-6.841145600895276e+000,1.345521196299155e+000,
5.106588459694897e-001},{5.114058172786601e+001,-6.622854212012143e+000,
1.328153704681671e+000,5.123809727991734e-001},{4.863514814255605e+001,
-6.412425552714074e+000,1.311102862409988e+000,5.141048466441640e-001},
{4.626245004092587e+001,-6.209545123139677e+000,1.294361646523955e+000,
5.158304786257448e-001},{4.401494669041566e+001,-6.013912245135423e+000,
1.277923217027002e+000,5.175578799930805e-001},{4.188556400289667e+001,
-5.825239391259091e+000,1.261780911389945e+000,5.192870621253667e-001},
{3.986762775448643e+001,-5.643251367096637e+000,1.245928239132817e+000,
5.210180365340277e-001},{3.795489834408001e+001,-5.467685094511304e+000,
1.230358877298484e+000,5.227508148649598e-001},{3.614148268541150e+001,
-5.298288645847125e+000,1.215066664937051e+000,5.244854089008243e-001},
{3.442185278609600e+001,-5.134821009449518e+000,1.200045598933553e+000,
5.262218305633868e-001},{3.279079584820779e+001,-4.977051405468687e+000,
1.185289829131247e+000,5.279600919159078e-001},{3.124342934154262e+001,
-4.824759024073568e+000,1.170793654218353e+000,5.297002051655871e-001},
{2.977513427897120e+001,-4.677732260255681e+000,1.156551516988663e+000,
5.314421826660609e-001},{2.838157596586128e+001,-4.535768567068232e+000,
1.142558000732308e+000,5.331860369199514e-001},{2.705867366805578e+001,
-4.398673923357351e+000,1.128807824937147e+000,5.349317805814788e-001},
{2.580257661383335e+001,-4.266262403536937e+000,1.115295841412068e+000,
5.366794264591228e-001},{2.460966531506359e+001,-4.138355917689477e+000,
1.102017030714079e+000,5.384289875183563e-001},{2.347652634935337e+001,
-4.014783768732895e+000,1.088966498339614e+000,5.401804768844284e-001},
{2.239994189186168e+001,-3.895382342766132e+000,1.076139471288119e+000,
5.419339078452174e-001},{2.137688056201431e+001,-3.779994809266803e+000,
1.063531294680509e+000,5.436892938541545e-001},{2.040448375466456e+001,
-3.668470797273908e+000,1.051137428418400e+000,5.454466485332009e-001},
{1.948005543173328e+001,-3.560666110129647e+000,1.038953444001990e+000,
5.472059856759085e-001},{1.860105179024829e+001,-3.456442449726411e+000,
1.026975021437601e+000,5.489673192505425e-001},{1.776507969598140e+001,
-3.355667198759821e+000,1.015197946286714e+000,5.507306634032858e-001},
{1.696986640316189e+001,-3.258213021837012e+000,1.003618106544807e+000,
5.524960324615093e-001},{1.621328376128235e+001,-3.163957875125649e+000,
9.922314902636222e-001,5.542634409371333e-001},{1.549330911573373e+001,
-3.072784521087606e+000,9.810341822990482e-001,5.560329035300551e-001},
{1.480803983183346e+001,-2.984580503003917e+000,9.700223620937467e-001,
5.578044351316714e-001},{1.415567829505791e+001,-2.899237854035364e+000,
9.591923008786090e-001,5.595780508284809e-001},{1.353452476308944e+001,
-2.816652899819644e+000,9.485403592247703e-001,5.613537659057762e-001},
{1.294297073501526e+001,-2.736726076361296e+000,9.380629846710600e-001,
5.631315958514251e-001},{1.237950327534221e+001,-2.659361822105834e+000,
9.277567094758138e-001,5.649115563597501e-001},{1.184268567697761e+001,
-2.584468285143181e+000,9.176181481050070e-001,5.666936633355001e-001},
{1.133116273830062e+001,-2.511957258765677e+000,9.076439952813108e-001,
5.684779328979236e-001},{1.084365039059536e+001,-2.441743973937185e+000,
8.978310237189942e-001,5.702643813849461e-001},{1.037893959350994e+001,
-2.373747016076154e+000,8.881760821711557e-001,5.720530253574520e-001},
{9.935878258780905e+000,-2.307888066176576e+000,8.786760932029253e-001,
5.738438816036776e-001},{9.513385220488097e+000,-2.244091925599429e+000,
8.693280515875038e-001,5.756369671437167e-001},{9.110429465384806e+000,
-2.182286226388107e+000,8.601290220482226e-001,5.774322992341427e-001},
{8.726039979294475e+000,-2.122401439791754e+000,8.510761377549098e-001,
5.792298953727533e-001},{8.359296620034248e+000,-2.064370690628830e+000,
8.421665983411981e-001,5.810297733034353e-001},{8.009325561958333e+000,
-2.008129640143733e+000,8.333976682171725e-001,5.828319510211679e-001},
{7.675302688422919e+000,-1.953616435842042e+000,8.247666750114966e-001,
5.846364467771462e-001},{7.356443958617260e+000,-1.900771540092228e+000,
8.162710077803924e-001,5.864432790840537e-001},{7.052008531129983e+000,
-1.849537692088942e+000,8.079081155885138e-001,5.882524667214695e-001},
{6.761294720818636e+000,-1.799859789804134e+000,7.996755058885832e-001,
5.900640287414285e-001},{6.483636498372520e+000,-1.751684788990636e+000,
7.915707430302340e-001,5.918779844741284e-001},{6.218399337511639e+000,
-1.704961609984714e+000,7.835914468426860e-001,5.936943535337977e-001},
{5.964989501232742e+000,-1.659641156314279e+000,7.757352914082837e-001,
5.955131558247273e-001},{5.722834924601525e+000,-1.615676059262124e+000,
7.680000032840613e-001,5.973344115474654e-001},{5.491399638620130e+000,
-1.573020782408741e+000,7.603833606797970e-001,5.991581412051937e-001},
{5.270171046295689e+000,-1.531631422179552e+000,7.528831917957080e-001,
6.009843656102799e-001},{5.058664298813443e+000,-1.491465712692528e+000,
7.454973738143860e-001,6.028131058910203e-001},{4.856420435950218e+000,
-1.452482946378775e+000,7.382238316110306e-001,6.046443834985716e-001},
{4.663000885144658e+000,-1.414643871536506e+000,7.310605365115268e-001,
6.064782202140927e-001},{4.477991405897813e+000,-1.377910693546225e+000,
7.240055053241036e-001,6.083146381560854e-001},{4.300998038136363e+000,
-1.342246980204123e+000,7.170567991024387e-001,6.101536597879579e-001},
{4.131646836878849e+000,-1.307617618348851e+000,7.102125221204546e-001,
6.119953079258070e-001},{3.969581617344602e+000,-1.273988750409006e+000,
7.034708208117358e-001,6.138396057464396e-001},{3.814464999241590e+000,
-1.241327747944722e+000,6.968298828181920e-001,6.156865767956317e-001},
{3.665976419552412e+000,-1.209603147585341e+000,6.902879359474882e-001,
6.175362449966364e-001},{3.523809639869346e+000,-1.178784591650163e+000,
6.838432472111192e-001,6.193886346589591e-001},{3.387676101076204e+000,
-1.148842831128321e+000,6.774941220149650e-001,6.212437704873943e-001},
{3.257298408715396e+000,-1.119749615703440e+000,6.712389030704746e-001,
6.231016775913520e-001},{3.132416234122967e+000,-1.091477733912388e+000,
6.650759697593417e-001,6.249623814944699e-001},{3.012777923461127e+000,
-1.064000880818915e+000,6.590037370124431e-001,6.268259081445352e-001},
{2.898148500487827e+000,-1.037293729191567e+000,6.530206548146291e-001,
6.286922839237189e-001},{2.788300228906221e+000,-1.011331780554530e+000,
6.471252070509176e-001,6.305615356591386e-001},{2.683019744175228e+000,
-9.860914343814429e-001,6.413159110771507e-001,6.324336906337702e-001},
{2.582101558543176e+000,-9.615498742641666e-001,6.355913166870878e-001,
6.343087765977056e-001},{2.485351726258790e+000,-9.376850950754241e-001,
6.299500055923686e-001,6.361868217797954e-001},{2.392584780774969e+000,
-9.144758355198807e-001,6.243905905769184e-001,6.380678548996677e-001},
{2.303623809125252e+000,-8.919015614137316e-001,6.189117148779868e-001,
6.399519051801563e-001},{2.218301716484065e+000,-8.699424569246335e-001,
6.135120515563689e-001,6.418390023601502e-001},{2.136457313721100e+000,
-8.485793527805717e-001,6.081903027200146e-001,6.437291767078821e-001},
{2.057939227794259e+000,-8.277937602603399e-001,6.029451990970640e-001,
6.456224590346728e-001},{1.982601361773348e+000,-8.075677868124656e-001,
5.977754992194658e-001,6.475188807091614e-001},{1.910305422321021e+000,
-7.878841579305617e-001,5.926799890174284e-001,6.494184736720295e-001},
{1.840919973864347e+000,-7.687261800830212e-001,5.876574811656280e-001,
6.513212704512502e-001},{1.774318431447832e+000,-7.500776989994216e-001,
5.827068144958507e-001,6.532273041778850e-001},{1.710381605636034e+000,
-7.319231195156424e-001,5.778268536008011e-001,6.551366086024576e-001},
{1.648994688751223e+000,-7.142473440233981e-001,5.730164881656592e-001,
6.570492181119113e-001},{1.590048725123274e+000,-6.970357821918966e-001,
5.682746325952985e-001,6.589651677472103e-001},{1.533439874027392e+000,
-6.802743224911976e-001,5.636002254787615e-001,6.608844932215886e-001},
{1.479068697158344e+000,-6.639493087403419e-001,5.589922291190146e-001,
6.628072309394806e-001},{1.426840869536403e+000,-6.480475369725340e-001,
5.544496291369960e-001,6.647334180161881e-001},{1.376665618585289e+000,
-6.325562192444207e-001,5.499714339749598e-001,6.666630922982865e-001},
{1.328457187000894e+000,-6.174629937261502e-001,5.455566745780982e-001,
6.685962923848331e-001},{1.282133030214725e+000,-6.027558831242498e-001,
5.412044038917494e-001,6.705330576494062e-001},{1.237614927340746e+000,
-5.884233016021722e-001,5.369136965737760e-001,6.724734282630155e-001},
{1.194827579250900e+000,-5.744540212110448e-001,5.326836485547319e-001,
6.744174452179302e-001},{1.153699645170108e+000,-5.608371784476705e-001,
5.285133767701128e-001,6.763651503524762e-001},{1.114162811162155e+000,
-5.475622466470426e-001,5.244020187578001e-001,6.783165863768431e-001},
{1.076151709993373e+000,-5.346190261721666e-001,5.203487323673905e-001,
6.802717968999631e-001},{1.039604087616986e+000,-5.219976374666073e-001,
5.163526954775388e-001,6.822308264575041e-001},{1.004460456200703e+000,
-5.096885048943938e-001,5.124131056874093e-001,6.841937205410585e-001},
{9.706638785677234e-001,-4.976823447415940e-001,5.085291800511675e-001,
6.861605256285703e-001},{9.381600986563852e-001,-4.859701585652561e-001,
5.047001548417265e-001,6.881312892160738e-001},{9.068972242668986e-001,
-4.745432188080312e-001,5.009252852952014e-001,6.901060598508284e-001},
{8.768256265898535e-001,-4.633930593762060e-001,4.972038453990545e-001,
6.920848871659001e-001},{8.478980422480926e-001,-4.525114688501092e-001,
4.935351276972386e-001,6.940678219163016e-001},{8.200690560722610e-001,
-4.418904741373326e-001,4.899184430790607e-001,6.960549160167504e-001},
{7.932955365213841e-001,-4.315223407060223e-001,4.863531206494093e-001,
6.980462225811568e-001},{7.675361442985631e-001,-4.213995555141402e-001,
4.828385075364002e-001,7.000417959639271e-001},{7.427512593575009e-001,
-4.115148200888941e-001,4.793739687774626e-001,7.020416918031972e-001},
{7.189033117426465e-001,-4.018610486495977e-001,4.759588872229961e-001,
7.040459670661056e-001},{6.959561135742333e-001,-3.924313488754276e-001,
4.725926633925903e-001,7.060546800962171e-001},{6.738752033854085e-001,
-3.832190229838893e-001,4.692747154481086e-001,7.080678906632436e-001},
{6.526277468276821e-001,-3.742175581148609e-001,4.660044791174469e-001,
7.100856600151843e-001},{6.321821747106798e-001,-3.654206137379463e-001,
4.627814076433050e-001,7.121080509330365e-001},{6.125084635885677e-001,
-3.568220214675603e-001,4.596049718063618e-001,7.141351277882394e-001},
{5.935779282079696e-001,-3.484157741858985e-001,4.564746599098449e-001,
7.161669566030067e-001},{5.753631542423251e-001,-3.401960190266252e-001,
4.533899778172436e-001,7.182036051137486e-001},{5.578379080634269e-001,
-3.321570502209607e-001,4.503504490128227e-001,7.202451428377567e-001},
{5.409772378490252e-001,-3.242933053050536e-001,4.473556146977857e-001,
7.222916411433742e-001},{5.247573236514336e-001,-3.165993558732946e-001,
4.444050338858265e-001,7.243431733238683e-001},{5.091553583120583e-001,
-3.090699001449694e-001,4.414982835460874e-001,7.263998146752452e-001},
{4.941496650179276e-001,-3.016997600084108e-001,4.386349587914129e-001,
7.284616425782706e-001},{4.797195893441171e-001,-2.944838727153321e-001,
4.358146730674687e-001,7.305287365849668e-001},{4.658454159189164e-001,
-2.874172838318425e-001,4.330370583894325e-001,7.326011785098984e-001},
{4.525084286368681e-001,-2.804951429879555e-001,4.303017656275229e-001,
7.346790525265499e-001},{4.396907169839087e-001,-2.737126945641282e-001,
4.276084648056008e-001,7.367624452691657e-001},{4.273754112892716e-001,
-2.670652769945731e-001,4.249568454808719e-001,7.388514459404123e-001},
{4.155464136560620e-001,-2.605483107212597e-001,4.223466171076617e-001,
7.409461464252765e-001},{4.041884380013781e-001,-2.541572941142669e-001,
4.197775095020359e-001,7.430466414116397e-001},{3.932870578905699e-001,
-2.478877986781748e-001,4.172492733426532e-001,7.451530285179989e-001},
{3.828286467935785e-001,-2.417354613025955e-001,4.147616807084972e-001,
7.472654084288583e-001},{3.728003160347851e-001,-2.356959769333881e-001,
4.123145256850712e-001,7.493838850383399e-001},{3.631899496533657e-001,
-2.297650933614912e-001,4.099076250447146e-001,7.515085656026301e-001},
{3.539861802648743e-001,-2.239386040074048e-001,4.075408189796285e-001,
7.536395609019181e-001},{3.451784395377778e-001,-2.182123418981641e-001,
4.052139719155342e-001,7.557769854125394e-001},{3.367567308090195e-001,
-2.125821679594597e-001,4.029269733841373e-001,7.579209574901114e-001},
{3.287119984291083e-001,-2.070439719882496e-001,4.006797390434232e-001,
7.600715995645146e-001},{3.210357123305466e-001,-2.015936547953648e-001,
3.984722116891958e-001,7.622290383476353e-001},{3.137202183461909e-001,
-1.962271288064989e-001,3.963043624830746e-001,7.643934050549112e-001},
{3.067585099743523e-001,-1.909403032422600e-001,3.941761921936149e-001,
7.665648356417625e-001},{3.001443621673701e-001,-1.857290784658068e-001,
3.920877326274295e-001,7.687434710561505e-001},{2.938722968103650e-001,
-1.805893348436715e-001,3.900390481551737e-001,7.709294575085852e-001},
{2.879376064535850e-001,-1.755169227244073e-001,3.880302373994634e-001,
7.731229467610636e-001},{2.823363799596992e-001,-1.705076514427414e-001,
3.860614350793771e-001,7.753240964365381e-001},{2.770447885477484e-001,
-1.655569164888013e-001,3.841328126374664e-001,7.775330703507134e-001},
{2.720819561369693e-001,-1.606606552857484e-001,3.822445839373179e-001,
7.797500388681229e-001},{2.674653113933975e-001,-1.558148244688060e-001,
3.803970049600344e-001,7.819751792846662e-001},{2.632075572084795e-001,
-1.509385793371179e-001,3.785610382540837e-001,7.842454607100902e-001},
{2.593330708233911e-001,-1.461744656606448e-001,3.767934811627194e-001,
7.864914180935034e-001},{2.558290465748489e-001,-1.415248268445518e-001,
3.750961409463570e-001,7.887085704890959e-001},{2.526817192496980e-001,
-1.369820489145218e-001,3.734669282636506e-001,7.908973098182515e-001},
{2.498786057610260e-001,-1.325389045601303e-001,3.719038491266883e-001,
7.930580228550742e-001},{2.474085267751381e-001,-1.281885279708624e-001,
3.704049999203535e-001,7.951910912877180e-001},{2.452614346122534e-001,
-1.239243863767887e-001,3.689685626896172e-001,7.972968917785244e-001},
{2.434284168742104e-001,-1.197402577787785e-001,3.675928007377211e-001,
7.993757960231415e-001},{2.419015528622072e-001,-1.156302067314484e-001,
3.662760544672607e-001,8.014281708086085e-001},{2.406739735415517e-001,
-1.115885662953330e-001,3.650167374937393e-001,8.034543780705155e-001},
{2.397396425750860e-001,-1.076099145903805e-001,3.638133329505207e-001,
8.054547749492954e-001},{2.390934524095718e-001,-1.036890607294186e-001,
3.626643900605662e-001,8.074297138456664e-001},{2.387311440820192e-001,
-9.982102656507678e-002,3.615685208685295e-001,8.093795424753392e-001},
{2.386492238235064e-001,-9.600103014473647e-002,3.605243971745443e-001,
8.113046039230223e-001},{2.388449516089252e-001,-9.222447197204525e-002,
3.595307476540946e-001,8.132052366957213e-001},{2.393163909364370e-001,
-8.848692277977732e-002,3.585863551396568e-001,8.150817747754554e-001},
{2.400622369503420e-001,-8.478410739725760e-002,3.576900540368518e-001,
8.169345476714047e-001},{2.410819093473880e-001,-8.111189587840884e-002,
3.568407279242882e-001,8.187638804714793e-001},{2.423755227229712e-001,
-7.746629151231736e-002,3.560373072597538e-001,8.205700938934316e-001},
{2.439437903097885e-001,-7.384341869908345e-002,3.552787672180464e-001,
8.223535043354756e-001},{2.457880841300521e-001,-7.023951497682976e-002,
3.545641256673672e-001,8.241144239264422e-001},{2.479104628840352e-001,
-6.665092199321671e-002,3.538924412424807e-001,8.258531605755627e-001},
{2.503135014091841e-001,-6.307407345043224e-002,3.532628115142414e-001,
8.275700180218225e-001},{2.530004736674350e-001,-5.950549117251455e-002,
3.526743712965212e-001,8.292652958829614e-001},{2.559752230366451e-001,
-5.594177412647441e-002,3.521262910014856e-001,8.309392897040731e-001},
{2.592422310622398e-001,-5.237959267551613e-002,3.516177751155357e-001,
8.325922910059250e-001},{2.628065531267236e-001,-4.881568009199424e-002,
3.511480607379117e-001,8.342245873328724e-001},{2.666738567720074e-001,
-4.524682709852055e-002,3.507164162151467e-001,8.358364623005091e-001},
{2.708504884539047e-001,-4.166987608244501e-002,3.503221398361055e-001,
8.374281956429612e-001},{2.753433071879429e-001,-3.808171199029962e-002,
3.499645585884929e-001,8.390000632598814e-001},{2.801599037196582e-001,
-3.447926077765695e-002,3.496430270117127e-001,8.405523372631366e-001},
{2.853083921105367e-001,-3.085947960555782e-002,3.493569260683962e-001,
8.420852860231959e-001},{2.907976806313661e-001,-2.721935651026936e-002,
3.491056621189848e-001,8.435991742151832e-001},{2.966371720783940e-001,
-2.355589928273860e-002,3.488886658983132e-001,8.450942628646833e-001},
{3.028370462889118e-001,-1.986613619310260e-002,3.487053916015641e-001,
8.465708093931487e-001},{3.094081917821564e-001,-1.614710890028537e-002,
3.485553159714244e-001,8.480290676631032e-001},{3.163620364755382e-001,
-1.239586542273052e-002,3.484379374449686e-001,8.494692880229420e-001},
{3.237109529050010e-001,-8.609462422221065e-003,3.483527753712113e-001,
8.508917173514538e-001},{3.314679191860245e-001,-4.784954014192033e-003,
3.482993692124245e-001,8.522965991020172e-001},{3.396466627040896e-001,
-9.193907609769285e-004,3.482772778363755e-001,8.536841733464595e-001},
{3.482573639782674e-001,2.990234168183047e-003,3.482860786936271e-001,
8.550546768185773e-001},{3.573435870189764e-001,6.946512750374164e-003,
3.483253684425491e-001,8.564083429573437e-001},{3.668456015562940e-001,
1.095357014539229e-002,3.483947564910607e-001,8.577454019497183e-001},{
3.768666032330697e-001,1.501283216327796e-002,3.484938791513281e-001,
8.590660807729463e-001},{3.872502858387614e-001,1.912964792928498e-002,
3.486223735021649e-001,8.603706032376969e-001},{3.978260416786913e-001,
2.330753852682181e-002,3.487799024495905e-001,8.616591900276418e-001},{
4.132101935168742e-001,2.749646402204903e-002,3.489662637387618e-001,
8.629320587422359e-001},{4.184545943199193e-001,3.190595255298934e-002,
3.491805658203261e-001,8.641894239321634e-001},{4.362824413649418e-001,
3.618297429472679e-002,3.494237843557785e-001,8.654314971271906e-001},{
4.482605603718436e-001,4.065324239822417e-002,3.496942108258070e-001,
8.666584870394793e-001},{4.622330316257493e-001,4.516985999042349e-002,
3.499923862104077e-001,8.678705992003968e-001},{4.768622286036364e-001,
4.976455970008947e-002,3.503178747560284e-001,8.690680364449238e-001},{
4.921745241725010e-001,5.444066904880778e-002,3.506704352553635e-001,
8.702509987148481e-001},{5.081973839874943e-001,5.920156908963686e-002,
3.510498387111092e-001,8.714196831463595e-001},{5.249595720422131e-001,
6.405069424380409e-002,3.514558679881682e-001,8.725742841082431e-001},{
5.424905347559086e-001,6.899154202103656e-002,3.518883174461503e-001,
8.737149932396073e-001},{5.608210429624480e-001,7.402766394847896e-002,
3.523469926362302e-001,8.748419994872339e-001},{5.799822127345404e-001,
7.916267804090524e-002,3.528317099190555e-001,8.759554891424319e-001},{
6.004830519290501e-001,8.439587774540482e-002,3.533423051135982e-001,
8.770556458774835e-001},{6.225303530662254e-001,8.972780116427569e-002,
3.538786230951095e-001,8.781426507816023e-001},{6.463610750175416e-001,
9.515751995040138e-002,3.544405351945316e-001,8.792166823964106e-001},{
6.722471844825647e-001,1.012426405366949e-001,3.550840958618995e-001,
8.803766342353709e-001},{7.038651077223995e-001,1.075468486721946e-001,
3.557708387936919e-001,8.815427655306450e-001},{7.251393379424058e-001,
1.142877363408631e-001,3.565023423314873e-001,8.827152564770329e-001},{
7.642524395207234e-001,1.210851585997144e-001,3.572820846551236e-001,
8.838942963354349e-001},{7.967358094127701e-001,1.283613467605374e-001,
3.581108233391086e-001,8.850800842450453e-001},{8.338699793357391e-001,
1.359403244468062e-001,3.589921197256534e-001,8.862728294157951e-001},{
8.739157757386329e-001,1.438882241405927e-001,3.599284806768164e-001,
8.874727525584538e-001},{9.171674240348069e-001,1.522338614296611e-001,
3.609228706786188e-001,8.886800863594736e-001},{9.639566900146391e-001,
1.610089362976866e-001,3.619784903446237e-001,8.898950765022780e-001},{
1.014658245902457e+000,1.702483983739543e-001,3.630988007319633e-001,
8.911179826999973e-001},{1.069696500740114e+000,1.799908580537642e-001,
3.642875508037436e-001,8.923490798353885e-001},{1.129553586989754e+000,
1.902790629163924e-001,3.655488084631469e-001,8.935886592217480e-001},{
1.194778730658964e+000,2.011604495101677e-001,3.668869957374470e-001,
8.948370300007601e-001},{1.265999604715109e+000,2.126877807800234e-001,
3.683069287846877e-001,8.960945206957666e-001},{1.343935603653501e+000,
2.249198920053187e-001,3.698138634914989e-001,8.973614809419384e-001},{
1.429414190654427e+000,2.379225551311867e-001,3.714135476414637e-001,
8.986382834183703e-001},{1.523389963185659e+000,2.517694999845817e-001,
3.731122807290428e-001,8.999253260114501e-001},{1.626967987465184e+000,
2.665436073713666e-001,3.749169828303232e-001,9.012230342439003e-001},{
1.741431587530111e+000,2.823383211013446e-001,3.768352741049624e-001,
9.025318640101248e-001},{1.868275831068914e+000,2.992593167802703e-001,
3.788755669150111e-001,9.038523046659105e-001},{2.009247253435497e+000,
3.174264875499637e-001,3.810471728982508e-001,9.051848825296176e-001},{
2.166391087168643e+000,3.369763061640536e-001,3.833604278633734e-001,
9.065301648630008e-001},{2.349101814944340e+000,3.579901484020978e-001,
3.858270141057033e-001,9.078887644133517e-001},{2.531929749610997e+000,
3.810226519207810e-001,3.884588003903566e-001,9.092613446151097e-001},{
2.767188003052499e+000,4.055286490868840e-001,3.912727602985009e-001,
9.106486255694756e-001},{3.016217450507473e+000,4.324970058988013e-001,
3.942818356613025e-001,9.120513915273417e-001},{3.303389261208595e+000,
4.618306962042632e-001,3.975063679209401e-001,9.134704971443424e-001},{
3.631549916126941e+000,4.939281587987267e-001,4.009666241813926e-001,
9.149068790734376e-001},{4.008482779288279e+000,5.291694395449363e-001,
4.046862435629703e-001,9.163615656490546e-001},{4.443846750534742e+000,
5.680030693371376e-001,4.086922722032931e-001,9.178356901063999e-001},{
4.949731196871531e+000,6.109615086616571e-001,4.130158106084739e-001,
9.193305059167702e-001},{5.541409643335976e+000,6.586807872014066e-001,
4.176928163006187e-001,9.208474050863027e-001},{6.238372675901206e+000,
7.119257358914435e-001,4.227651072505875e-001,9.223879401412338e-001},{
7.065766386999059e+000,7.716226265930281e-001,4.282816280479594e-001,
9.239538507389419e-001},{8.056416694649682e+000,8.389018864217007e-001,
4.343000631122791e-001,9.255470961380512e-001},{9.253723462876144e+000,
9.151544772853499e-001,4.408889145566523e-001,9.271698951653059e-001},{
1.071584561649215e+001,1.002107267105648e+000,4.481302092757962e-001,
9.288247758812972e-001},{1.253214033900518e+001,1.101808734948876e+000,
4.561233615389971e-001,9.305146379456196e-001},{1.477897062418504e+001,
1.217485995326902e+000,4.649880047213420e-001,9.322428318295400e-001},{
1.766908561621815e+001,1.351719349121241e+000,4.748770243380275e-001,
9.340132606989513e-001},{2.138486266524388e+001,1.509883643514754e+000,
4.859733964211321e-001,9.358305148113010e-001},{2.628754637519723e+001,
1.697451202895145e+000,4.985169448163012e-001,9.377000442304936e-001},{
3.289856626810693e+001,1.922256316265470e+000,5.128135873286412e-001,
9.396284013530487e-001},{4.205492727375339e+001,2.194581754116503e+000,
5.292667488868058e-001,9.416235666436306e-001},{5.514876558372439e+001,
2.528063775283584e+000,5.484198767596652e-001,9.436954119389488e-001},{
7.462633427723064e+001,2.940368260878233e+000,5.710261164676607e-001,
9.458563710445010e-001},{1.050184348991562e+002,3.453462949853480e+000,
5.981648072853771e-001,9.481224427923183e-001},{1.555495965673860e+002,
4.087350044552481e+000,6.314608944041468e-001,9.505147490704314e-001},{
2.376339218745235e+002,4.944818621598538e+000,6.732270162071558e-001,
9.530620700536182e-001},{3.778931105604901e+002,6.223871768745157e+000,
7.270999546100488e-001,9.558052023498382e-001},{6.392510022959895e+002,
8.369904048358965e+000,7.988184626507228e-001,9.588050299738381e-001},{
1.175214125741375e+003,9.200515050596998e+000,8.756729054310770e-001,
9.612797327158309e-001},{2.404391521144330e+003,8.351201828031256e+000,
9.861434004464017e-001,9.640175305607321e-001},{5.280178052685498e+003,
7.052137331238425e+000,1.155225153751228e+000,9.672632864915536e-001},{
1.195185547887987e+004,1.436266930835130e+001,1.399691464502437e+000,
9.709593911907505e-001},{2.738163303986884e+004,3.128192142643308e+001,
1.713086045447508e+000,9.743575124934957e-001},{6.813367902015221e+004,
2.245954110359909e+001,2.098339086431259e+000,9.771334786926074e-001},{
1.719549070722432e+005,-4.567581958920449e+001,2.615376615379705e+000,
9.796670698052391e-001},{4.072927452321919e+005,-5.632241381576800e+001,
3.317614691567385e+000,9.823925310148151e-001},{9.174334612404156e+005,
5.978559879130236e+002,4.355002072346393e+000,9.857167565271496e-001},{
1.863229120547296e+006,1.146180212440694e+003,5.277266586606779e+000,
9.875311446084982e-001},{4.352587282561689e+006,3.435290432960140e+002,
6.013725056438802e+000,9.883772225822374e-001},{1.294720023425507e+007,
-1.952316825630777e+003,7.598845776825704e+000,9.898384444052550e-001},
{4.368922580067658e+007,-9.798242269889981e+003,1.040268251220144e+001,
9.914339076346728e-001},{1.412163489780696e+008,-7.929973860030538e+003,
1.348982180175535e+001,9.935448201066974e-001},{3.054619794272863e+008,
1.543075051399528e+004,1.697364990930417e+001,9.950069147908655e-001},{
2.513842293016319e+012,-1.192762798969687e+008,1.413409677685541e+003,
9.959656981502529e-001}};
constant Real[Ninterval, 4] hvcoef={{3.418719024828741e+009,-6.021500887201227e+005,
1.372239895761628e+002,8.595917694423992e-001},{3.054310565670096e+009,
-5.705938691014666e+005,1.340221742560438e+002,8.599600896018758e-001},
{2.680326377990845e+009,-5.429463074242631e+005,1.313866487967003e+002,
8.602696780537780e-001},{2.303779913727746e+009,-4.921392562770898e+005,
1.256410111646926e+002,8.609751352703259e-001},{1.980129780009944e+009,
-4.460960668130493e+005,1.201498857905039e+002,8.616864231415984e-001},
{1.702029460983321e+009,-4.043727836958034e+005,1.149020405579111e+002,
8.624035880113733e-001},{1.463001841507740e+009,-3.665601613605881e+005,
1.098863963717011e+002,8.631267209320035e-001},{1.257578888846852e+009,
-3.322921639231642e+005,1.050926221990266e+002,8.638558834346060e-001},
{1.081020151317802e+009,-3.012351730865443e+005,1.005107466086200e+002,
8.645911520991180e-001},{9.292788756444820e+008,-2.730884033777993e+005,
9.613135173247430e+001,8.653325887404106e-001},{7.988592072529383e+008,
-2.475781452734592e+005,9.194535249523334e+001,8.660802702489665e-001},
{6.867517994789405e+008,-2.244567953084133e+005,8.794416126688296e+001,
8.668342586830016e-001},{5.903993090097249e+008,-2.035004093727184e+005,
8.411943557310387e+001,8.675946462312558e-001},{5.075739967569540e+008,
-1.845052128758624e+005,8.046328280923146e+001,8.683615102740704e-001},
{4.363803981359935e+008,-1.672877964071615e+005,7.696824858217629e+001,
8.691349132544352e-001},{3.751811369685484e+008,-1.516810195389626e+005,
7.362707753938845e+001,8.699149478489386e-001},{3.225757764446142e+008,
-1.375342639486588e+005,7.043297686856677e+001,8.707016766933142e-001},
{2.775632019164234e+008,-1.247180148068888e+005,6.737939987231324e+001,
8.714951927224426e-001},{2.395047937120040e+008,-1.131276569986563e+005,
6.446029045026621e+001,8.722955738779207e-001},{2.072894646248908e+008,
-1.026516293164950e+005,6.166981089182345e+001,8.731028981691641e-001},
{1.799822430252400e+008,-9.333464537306117e+004,5.905402123864285e+001,
8.739009311042776e-001},{1.566914275764715e+008,-8.525624087305536e+004,
5.668205775153147e+001,8.746623083398238e-001},{1.365420998913238e+008,
-7.792553082576592e+004,5.442145459347433e+001,8.754247647693702e-001},
{1.190945653358361e+008,-7.126911585540987e+004,5.226630523340383e+001,
8.761882924491433e-001},{1.039717710388903e+008,-6.522111942123056e+004,
5.021104820325436e+001,8.769528833328070e-001},{9.085238634246235e+007,
-5.972253866425365e+004,4.825044784911309e+001,8.777185292709222e-001},
{7.945976285392952e+007,-5.472031010955200e+004,4.637957044109646e+001,
8.784852220104472e-001},{6.955828718931271e+007,-5.016689134145316e+004,
4.459376897054184e+001,8.792529531942909e-001},{6.094432939926156e+007,
-4.601943690028419e+004,4.288866070740672e+001,8.800217143609221e-001},
{5.344423567813414e+007,-4.223952028854783e+004,4.126011513927500e+001,
8.807914969440196e-001},{4.690790693157751e+007,-3.879248539780872e+004,
3.970423429382681e+001,8.815622922721852e-001},{4.120636628965157e+007,
-3.564715093489797e+004,3.821734102078233e+001,8.823340915687035e-001},
{3.622900976104898e+007,-3.277545861657008e+004,3.679596497500520e+001,
8.831068859513512e-001},{3.187967036644944e+007,-3.015203386420734e+004,
3.543682780067873e+001,8.838806664322682e-001},{2.807613578829654e+007,
-2.775406516810798e+004,3.413683515396600e+001,8.846554239178743e-001},
{2.474692036340034e+007,-2.556090563904067e+004,3.289306188961926e+001,
8.854311492088450e-001},{2.183049697968674e+007,-2.355393699418945e+004,
3.170274439968934e+001,8.862078330001338e-001},{1.927347019859899e+007,
-2.171631328406215e+004,3.056326941876671e+001,8.869854658810615e-001},
{1.702981751333125e+007,-2.003282321642497e+004,2.947216618883089e+001,
8.877640383354423e-001},{1.505930006594837e+007,-1.848966312427858e+004,
2.842709641996708e+001,8.885435407417774e-001},{1.332750187738691e+007,
-1.707439527076683e+004,2.742584914811091e+001,8.893239633734973e-001},
{1.180409908173095e+007,-1.577569115143173e+004,2.646632952888870e+001,
8.901052963992563e-001},{1.046300091887967e+007,-1.458332162795913e+004,
2.554655563707482e+001,8.908875298832820e-001},{9.281478450960947e+006,
-1.348800001880907e+004,2.466464976005302e+001,8.916706537857801e-001},
{8.239677365327914e+006,-1.248128939600677e+004,2.381883271013455e+001,
8.924546579633877e-001},{7.320375014028021e+006,-1.155554134563862e+004,
2.300741887638321e+001,8.932395321696804e-001},{6.508564560677815e+006,
-1.070380653674440e+004,2.222881017899560e+001,8.940252660557324e-001},
{5.791092789698311e+006,-9.919758901292089e+003,2.148149097099744e+001,
8.948118491707285e-001},{5.156530698970656e+006,-9.197655328178946e+003,
2.076402412172987e+001,8.955992709626238e-001},{4.594876945645325e+006,
-8.532266312855607e+003,2.007504587669628e+001,8.963875207788541e-001},
{4.097381930359949e+006,-7.918830001821591e+003,1.941326196319786e+001,
8.971765878670993e-001},{3.656383109691083e+006,-7.353008221313214e+003,
1.877744374229622e+001,8.979664613760915e-001},{3.265186685897589e+006,
-6.830850362101170e+003,1.816642466513669e+001,8.987571303564701e-001},
{2.917909279006009e+006,-6.348750551159110e+003,1.757909652930962e+001,
8.995485837616878e-001},{2.609402060809861e+006,-5.903421540440110e+003,
1.701440658291143e+001,9.003408104489590e-001},{2.335140768578981e+006,
-5.491861404071661e+003,1.647135426048376e+001,9.011337991802549e-001},
{2.091146761265873e+006,-5.111327878744832e+003,1.594898842221833e+001,
9.019275386233419e-001},{1.873929941363969e+006,-4.759317050348291e+003,
1.544640477086862e+001,9.027220173528617e-001},{1.680420118072653e+006,
-4.433539445570736e+003,1.496274316343266e+001,9.035172238514534e-001},
{1.507901694720669e+006,-4.131898344129412e+003,1.449718519666387e+001,
9.043131465109192e-001},{1.354001888305344e+006,-3.852479913913011e+003,
1.404895235600572e+001,9.051097736334237e-001},{1.216613076782086e+006,
-3.593527497504629e+003,1.361730330460103e+001,9.059070934327353e-001},
{1.093879091249427e+006,-3.353433477948261e+003,1.320153238778303e+001,
9.067050940355028e-001},{9.841701033319680e+005,-3.130726664519008e+003,
1.280096767078483e+001,9.075037634825668e-001},{8.860331097677258e+005,
-2.924054367261154e+003,1.241496883316571e+001,9.083030897303053e-001},
{7.981918624483937e+005,-2.732178555007192e+003,1.204292601630526e+001,
9.091030606520103e-001},{7.195149237111326e+005,-2.553962145681973e+003,
1.168425789742630e+001,9.099036640393030e-001},{6.490013601859985e+005,
-2.388361283829961e+003,1.133841032591765e+001,9.107048876035626e-001},
{5.857619638546082e+005,-2.234416399557152e+003,1.100485487724143e+001,
9.115067189773976e-001},{5.290116852906891e+005,-2.091246746576212e+003,
1.068308765988832e+001,9.123091457161393e-001},{4.780525034495146e+005,
-1.958041849488108e+003,1.037262790050762e+001,9.131121552993566e-001},
{4.322639370581367e+005,-1.834056004290414e+003,1.007301685198876e+001,
9.139157351323971e-001},{3.910966072603547e+005,-1.718603636258115e+003,
9.783816732166672e+000,9.147198725479478e-001},{3.540614298472962e+005,
-1.611053173940656e+003,9.504609563667259e+000,9.155245548076196e-001},
{3.207227948052809e+005,-1.510822716204718e+003,9.234996229867011e+000,
9.163297691035424e-001},{2.906939935011917e+005,-1.417376462988183e+003,
8.974595578775290e+000,9.171355025599859e-001},{2.636303793313987e+005,
-1.330220294731111e+003,8.723043464518558e+000,9.179417422349862e-001},
{2.392237992914084e+005,-1.248898152561119e+003,8.479991917683572e+000,
9.187484751219944e-001},{2.172016592892052e+005,-1.172990137423081e+003,
8.245108450295883e+000,9.195556881515287e-001},{1.973183307798826e+005,
-1.102107553390677e+003,8.018075097948199e+000,9.203633681928409e-001},
{1.793561202392878e+005,-1.035892282235062e+003,7.798587940806567e+000,
9.211715020555885e-001},{1.631202275964593e+005,-9.740132377691543e+002,
7.586356268239432e+000,9.219800764915146e-001},{1.484359488552449e+005,
-9.161641833684364e+002,7.381101972870521e+000,9.227890781961310e-001},
{1.351478825430181e+005,-8.620624032575208e+002,7.182559013917762e+000,
9.235984938104057e-001},{1.231162519279247e+005,-8.114460113623057e+002,
6.990472737830404e+000,9.244083099224488e-001},{1.122162968415116e+005,
-7.640729129202056e+002,6.804599425001765e+000,9.252185130692011e-001},
{1.023361278541669e+005,-7.197189192332255e+002,6.624705719443992e+000,
9.260290897381156e-001},{9.337545308914331e+004,-6.781764164807573e+002,
6.450568157340423e+000,9.268400263688406e-001},{8.524409931480192e+004,
-6.392529690945879e+002,6.281972695119674e+000,9.276513093548937e-001},
{7.786169679505364e+004,-6.027705240567450e+002,6.118714310110324e+000,
9.284629250453276e-001},{7.115526319693035e+004,-5.685635173312871e+002,
5.960596482051478e+000,9.292748597463896e-001},{6.505997236969629e+004,
-5.364788721222958e+002,5.807430942404182e+000,9.300870997231673e-001},
{5.951708365389362e+004,-5.063742243350591e+002,5.659037156140247e+000,
9.308996312012252e-001},{5.447396049317387e+004,-4.781175751106457e+002,
5.515242057235346e+000,9.317124403682275e-001},{4.988309687503692e+004,
-4.515862663149072e+002,5.375879663496088e+000,9.325255133755377e-001},
{4.570187946719245e+004,-4.266664669336558e+002,5.240790784971295e+000,
9.333388363398144e-001},{4.189173749451424e+004,-4.032522688537788e+002,
5.109822677685524e+000,9.341523953445763e-001},{3.841803267326960e+004,
-3.812453207114073e+002,4.982828795533794e+000,9.349661764417548e-001},
{3.524944619171859e+004,-3.605540968469249e+002,4.859668478530708e+000,
9.357801656532230e-001},{3.235775262493093e+004,-3.410934828706502e+002,
4.740206710402045e+000,9.365943489722998e-001},{2.971742749441942e+004,
-3.227842408832863e+002,4.624313855555895e+000,9.374087123652322e-001},
{2.730548973676348e+004,-3.055526590426766e+002,4.511865434271594e+000,
9.382232417726517e-001},{2.510105818186500e+004,-2.893300011512208e+002,
4.402741870199007e+000,9.390379231110015e-001},{2.308534946321419e+004,
-2.740523193986549e+002,4.296828310919137e+000,9.398527422739368e-001},
{2.124130171607308e+004,-2.596599553908384e+002,4.194014387044316e+000,
9.406676851337009e-001},{1.955351648008638e+004,-2.460973335068810e+002,
4.094194041865801e+000,9.414827375424566e-001},{1.800800960501098e+004,
-2.333125885677086e+002,3.997265326620004e+000,9.422978853336017e-001},
{1.659212825450676e+004,-2.212573565008916e+002,3.903130237563751e+000,
9.431131143230387e-001},{1.529440870224837e+004,-2.098865061302326e+002,
3.811694539213896e+000,9.439284103104196e-001},{1.410443891357347e+004,
-1.991578904408298e+002,3.722867600418599e+000,9.447437590803492e-001},
{1.301277276409646e+004,-1.890321548645134e+002,3.636562246885636e+000,
9.455591464035549e-001},{1.201083501871745e+004,-1.794725379233024e+002,
3.552694612840763e+000,9.463745580380161e-001},{1.109084452413765e+004,
-1.704446937374686e+002,3.471184001267795e+000,9.471899797300593e-001},
{1.024571699447709e+004,-1.619165024398652e+002,3.391952746393233e+000,
9.480053972154118e-001},{9.469018895726013e+003,-1.538579391475356e+002,
3.314926093557165e+000,9.488207962202151e-001},{8.754902558872502e+003,
-1.462409215712277e+002,3.240032074179658e+000,9.496361624619982e-001},
{8.098027596251695e+003,-1.390391545991529e+002,3.167201386524235e+000,
9.504514816506080e-001},{7.493554482491891e+003,-1.322280542592093e+002,
3.096367297109474e+000,9.512667394890960e-001},{6.937064709883011e+003,
-1.257845873818821e+002,3.027465520734622e+000,9.520819216745656e-001},
{6.424526737209824e+003,-1.196871778019022e+002,2.960434126813456e+000,
9.528970138989733e-001},{5.952271592786267e+003,-1.139156214553171e+002,
2.895213446237914e+000,9.537120018498824e-001},{5.516955702461954e+003,
-1.084509856459832e+002,2.831745975134339e+000,9.545268712111753e-001},
{5.115516193281917e+003,-1.032755079240082e+002,2.769976284441141e+000,
9.553416076637196e-001},{4.745169939215222e+003,-9.837255018506627e+001,
2.709850945954599e+000,9.561561968859864e-001},{4.403364440818750e+003,
-9.372649095365175e+001,2.651318440509086e+000,9.569706245546216e-001},
{4.087776994953164e+003,-8.932268622183530e+001,2.594329091528175e+000,
9.577848763449695e-001},{3.796275090953450e+003,-8.514737826931575e+001,
2.538834982469134e+000,9.585989379315498e-001},{3.526914794156184e+003,
-8.118766109964749e+001,2.484789895870575e+000,9.594127949884909e-001},
{3.277915891545599e+003,-7.743141105727378e+001,2.432149240012017e+000,
9.602264331899009e-001},{3.047647797709957e+003,-7.386723790355531e+001,
2.380869986715188e+000,9.610398382102077e-001},{2.834618789109123e+003,
-7.048444111730269e+001,2.330910611325176e+000,9.618529957244332e-001},
{2.637461957139128e+003,-6.727296213941031e+001,2.282231032479775e+000,
9.626658914084311e-001},{2.454924432505965e+003,-6.422334375285149e+001,
2.234792556533058e+000,9.634785109390691e-001},{2.285857047983956e+003,
-6.132669141282386e+001,2.188557823874969e+000,9.642908399943569e-001},
{2.129208461400737e+003,-5.857464160828975e+001,2.143490758529177e+000,
9.651028642535350e-001},{1.984008976569308e+003,-5.595931630261283e+001,
2.099556514899462e+000,9.659145693971051e-001},{1.849374081739265e+003,
-5.347331044763390e+001,2.056721437955760e+000,9.667259411068088e-001},
{1.724488078442418e+003,-5.110964503808447e+001,2.014953009798691e+000,
9.675369650655664e-001},{1.608601317477169e+003,-4.886174815058493e+001,
1.974219811466410e+000,9.683476269573521e-001},{1.501028549020432e+003,
-4.672343509185431e+001,1.934491482280281e+000,9.691579124670265e-001},
{1.401134787382134e+003,-4.468886871440314e+001,1.895738673701978e+000,
9.699678072801187e-001},{1.308339375774190e+003,-4.275255490962074e+001,
1.857933019816026e+000,9.707772970825509e-001},{1.222108228029781e+003,
-4.090931316053910e+001,1.821047094970709e+000,9.715863675603226e-001},
{1.141946857646252e+003,-3.915425280944660e+001,1.785054378319671e+000,
9.723950043991366e-001},{1.067402981642193e+003,-3.748276735761835e+001,
1.749929225855599e+000,9.732031932839743e-001},{9.980583833327522e+002,
-3.589050668361879e+001,1.715646831952266e+000,9.740109198986281e-001},
{9.335284820523360e+002,-3.437336708372298e+001,1.682183202119270e+000,
9.748181699251741e-001},{8.734576475077868e+002,-3.292747251868510e+001,
1.649515121362005e+000,9.756249290433984e-001},{8.175192743315979e+002,
-3.154916618621505e+001,1.617620128283343e+000,9.764311829301763e-001},
{7.654113989059594e+002,-3.023499246048811e+001,1.586476484703391e+000,
9.772369172587978e-001},{7.168549261326022e+002,-2.898168620253393e+001,
1.556063150963355e+000,9.780421176982415e-001},{6.715934871869085e+002,
-2.778616486120676e+001,1.526359761996525e+000,9.788467699124019e-001},
{6.293887964147959e+002,-2.664551120825474e+001,1.497346599661789e+000,
9.796508595592697e-001},{5.900219253252941e+002,-2.555697044888610e+001,
1.469004573803481e+000,9.804543722900537e-001},{5.532898465620945e+002,
-2.451793564352644e+001,1.441315196411080e+000,9.812572937482607e-001},
{5.190052723541189e+002,-2.352594208801040e+001,1.414260562393762e+000,
9.820596095687246e-001},{4.869947579083630e+002,-2.257865727178197e+001,
1.387823327724877e+000,9.828613053765841e-001},{4.570979184019152e+002,
-2.167387417193229e+001,1.361986690424303e+000,9.836623667862149e-001},
{4.291663436174557e+002,-2.080950381084881e+001,1.336734371291882e+000,
9.844627794001081e-001},{4.030627155807368e+002,-1.998356855725961e+001,
1.312050595629924e+000,9.852625288077083e-001},{3.786596714281382e+002,
-1.919419513223841e+001,1.287920075411151e+000,9.860616005841896e-001},
{3.558394376680569e+002,-1.843960978347813e+001,1.264327993086148e+000,
9.868599802892032e-001},{3.344927057914483e+002,-1.771813153942693e+001,
1.241259984529670e+000,9.876576534655511e-001},{3.145183552120479e+002,
-1.702816801518539e+001,1.218702124146350e+000,9.884546056378373e-001},
{2.958222994740287e+002,-1.636820898671438e+001,1.196640908911924e+000,
9.892508223110540e-001},{2.783177026940484e+002,-1.573682393871353e+001,
1.175063245364513e+000,9.900462889691248e-001},{2.619234894737551e+002,
-1.513265481908928e+001,1.153956433685712e+000,9.908409910734041e-001},
{2.465648216723021e+002,-1.455441492324349e+001,1.133308156602596e+000,
9.916349140611203e-001},{2.321720020070755e+002,-1.400088277850550e+001,
1.113106464537580e+000,9.924280433437820e-001},{2.186803377779052e+002,
-1.347089951583520e+001,1.093339764259556e+000,9.932203643055251e-001},
{2.060297477025833e+002,-1.296336530904619e+001,1.073996806711151e+000,
9.940118623014244e-001},{1.941643451397283e+002,-1.247723593031160e+001,
1.055066675366082e+000,9.948025226557459e-001},{1.830322811700511e+002,
-1.201152018223532e+001,1.036538775470238e+000,9.955923306601620e-001},
{1.725851592956317e+002,-1.156527611442914e+001,1.018402822732162e+000,
9.963812715719111e-001},{1.627781181669557e+002,-1.113760956039830e+001,
1.000648834052838e+000,9.971693306119173e-001},{1.535693860011035e+002,
-1.072767076272634e+001,9.832671167175504e-001,9.979564929628543e-001},
{1.449200191421523e+002,-1.033465196230555e+001,9.662482590600698e-001,
9.987427437671671e-001},{1.367937717065337e+002,-9.957785484393540e+000,
9.495831215921720e-001,9.995280681250476e-001},{1.291569872589011e+002,
-9.596341801355912e+000,9.332628281122665e-001,1.000312451092355e+000},
{1.219781077764371e+002,-9.249626474109293e+000,9.172787563965046e-001,
1.001095877678499e+000},{1.152279668782842e+002,-8.916979963771544e+000,
9.016225314369730e-001,1.001878332844262e+000},{1.088792020192482e+002,
-8.597774082924014e+000,8.862860157568774e-001,1.002659801499583e+000},
{1.029063235987208e+002,-8.291411320542892e+000,8.712613030194463e-001,
1.003440268501293e+000},{9.728564785438825e+001,-7.997323365549272e+000,
8.565407104574884e-001,1.004219718650792e+000},{9.199496304063413e+001,
-7.714968773139151e+000,8.421167710251819e-001,1.004998136691686e+000},
{8.701360359900153e+001,-7.443832377910562e+000,8.279822274408061e-001,
1.005775507307376e+000},{8.232230443717428e+001,-7.183423666195218e+000,
8.141300250683886e-001,1.006551815118586e+000},{7.790298199800353e+001,
-6.933275074571325e+000,8.005533052628054e-001,1.007327044680851e+000},
{7.373882736821794e+001,-6.692941599684643e+000,7.872454000252229e-001,
1.008101180481954e+000},{6.981412051815975e+001,-6.461999122789390e+000,
7.741998252916442e-001,1.008874206939307e+000},{6.611412526808580e+001,
-6.240043296990975e+000,7.614102753125023e-001,1.009646108397281e+000},
{6.262513663235084e+001,-6.026689038670938e+000,7.488706175635427e-001,
1.010416869124489e+000},{5.933427241821190e+001,-5.821568909235316e+000,
7.365748866372953e-001,1.011186473311012e+000},{5.622953202093046e+001,
-5.624332795860875e+000,7.245172797819842e-001,1.011954905065573e+000},
{5.329965683889058e+001,-5.434646641163655e+000,7.126921513657769e-001,
1.012722148412655e+000},{5.053413008036412e+001,-5.252191899271087e+000,
7.010940083901317e-001,1.013488187289570e+000},{4.792309187394095e+001,
-5.076664589645531e+000,6.897175055906588e-001,1.014253005543466e+000},
{4.545732719574220e+001,-4.907774732842085e+000,6.785574411182894e-001,
1.015016586928279e+000},{4.312818391659056e+001,-4.745245470887149e+000,
6.676087519562042e-001,1.015778915101634e+000},{4.092758873926038e+001,
-4.588812680293274e+000,6.568665100095136e-001,1.016539973621682e+000},
{3.884793008615984e+001,-4.438223961945115e+000,6.463259175911253e-001,
1.017299745943874e+000},{3.688212100151130e+001,-4.293238562403930e+000,
6.359823041079774e-001,1.018058215417688e+000},{3.502348648740307e+001,
-4.153626360185827e+000,6.258311216044381e-001,1.018815365283285e+000},
{3.326577803136620e+001,-4.019167610116154e+000,6.158679415223102e-001,
1.019571178668104e+000},{3.160313640436182e+001,-3.889652370808637e+000,
6.060884509889981e-001,1.020325638583392e+000},{3.003005307713898e+001,
-3.764879973889153e+000,5.964884493327785e-001,1.021078727920680e+000},
{2.854137434411961e+001,-3.644658724667432e+000,5.870638449339153e-001,
1.021830429448176e+000},{2.713224638151363e+001,-3.528805289640701e+000,
5.778106517458664e-001,1.022580725807109e+000},{2.579812528568391e+001,
-3.417144473611440e+000,5.687249864435943e-001,1.023329599507988e+000},
{2.453473414913067e+001,-3.309508692174914e+000,5.598030651918186e-001,
1.024077032926797e+000},{2.333805810227199e+001,-3.205737695631187e+000,
5.510412008791300e-001,1.024823008301128e+000},{2.220432885559139e+001,
-3.105678219024390e+000,5.424358002555373e-001,1.025567507726222e+000},
{2.112999429523282e+001,-3.009183576146176e+000,5.339833611149614e-001,
1.026310513150946e+000},{2.011172854430874e+001,-2.916113494140037e+000,
5.256804698481571e-001,1.027052006373695e+000},{1.914639375477926e+001,
-2.826333658116357e+000,5.175237986301524e-001,1.027791969038206e+000},
{1.823104421288958e+001,-2.739715546993399e+000,5.095101031537107e-001,
1.028530382629299e+000},{1.736290349293186e+001,-2.656136094630625e+000,
5.016362201009934e-001,1.029267228468528e+000},{1.653936831205726e+001,
-2.575477526738492e+000,4.938990649439516e-001,1.030002487709758e+000},
{1.575797811613206e+001,-2.497626987231605e+000,4.862956294907959e-001,
1.030736141334639e+000},{1.501642262596952e+001,-2.422476435238042e+000,
4.788229799338944e-001,1.031468170148003e+000},{1.431252592991174e+001,
-2.349922366480642e+000,4.714782545940999e-001,1.032198554773166e+000},
{1.364423636027999e+001,-2.279865602649950e+000,4.642586618963331e-001,
1.032927275647125e+000},{1.300962339585762e+001,-2.212211125883548e+000,
4.571614784290629e-001,1.033654313015678e+000},{1.240686782027495e+001,
-2.146867870831208e+000,4.501840469791165e-001,1.034379646928422e+000},
{1.183425342332221e+001,-2.083748539062776e+000,4.433237746672978e-001,
1.035103257233662e+000},{1.129016412610612e+001,-2.022769454725691e+000,
4.365781311814800e-001,1.035825123573211e+000},{1.077307541038712e+001,
-1.963850383159112e+000,4.299446469854610e-001,1.036545225377079e+000},
{1.028154947275094e+001,-1.906914383701821e+000,4.234209116354142e-001,
1.037263541858046e+000},{9.814230022131259e+000,-1.851887664597415e+000,
4.170045721339577e-001,1.037980052006132e+000},{9.369839696925903e+000,
-1.798699456143624e+000,4.106933313435917e-001,1.038694734582934e+000},
{8.947167622091373e+000,-1.747281824615215e+000,4.044849463620441e-001,
1.039407568115843e+000},{8.545077467190927e+000,-1.697569639716146e+000,
3.983772271819996e-001,1.040118530892150e+000},{8.162491034786111e+000,
-1.649500353387555e+000,3.923680350312642e-001,1.040827600952992e+000},
{7.798393309046508e+000,-1.603013962393644e+000,3.864552811298065e-001,
1.041534756087189e+000},{7.451825003941011e+000,-1.558052859669292e+000,
3.806369252096470e-001,1.042239973824938e+000},{7.121879549937058e+000,
-1.514561735162216e+000,3.749109742091094e-001,1.042943231431347e+000},
{6.807699199895982e+000,-1.472487475162612e+000,3.692754809886303e-001,
1.043644505899842e+000},{6.508476315599162e+000,-1.431779096689505e+000,
3.637285431064071e-001,1.044343773945410e+000},{6.223444600223672e+000,
-1.392387605977197e+000,3.582683015002018e-001,1.045041011997687e+000},
{5.951881226565523e+000,-1.354265956495707e+000,3.528929394082206e-001,
1.045736196193881e+000},{5.693101078416663e+000,-1.317368936654040e+000,
3.476006811465485e-001,1.046429302371536e+000},{5.446458886227909e+000,
-1.281653127167136e+000,3.423897910577511e-001,1.047120306061104e+000},
{5.211340506752048e+000,-1.247076770164139e+000,3.372585723155903e-001,
1.047809182478361e+000},{4.987168450830138e+000,-1.213599765364470e+000,
3.322053660151640e-001,1.048495906516614e+000},{4.773393379500752e+000,
-1.181183539793155e+000,3.272285500026099e-001,1.049180452738738e+000},
{4.569496847863383e+000,-1.149791027460064e+000,3.223265379911744e-001,
1.049862795368995e+000},{4.374988004990743e+000,-1.119386587540072e+000,
3.174977785277567e-001,1.050542908284660e+000},{4.189400888067502e+000,
-1.089935937326779e+000,3.127407540491669e-001,1.051220765007437e+000},
{4.012295649424565e+000,-1.061406120570848e+000,3.080539800181962e-001,
1.051896338694638e+000},{3.843254239286654e+000,-1.033765424196656e+000,
3.034360039600572e-001,1.052569602130159e+000},{3.681881374402221e+000,
-1.006983350527110e+000,2.988854046579620e-001,1.053240527715198e+000},
{3.527802653665643e+000,-9.810305583932155e-001,2.944007912737826e-001,
1.053909087458743e+000},{3.380662761329736e+000,-9.558788092568029e-001,
2.899808025158087e-001,1.054575252967808e+000},{3.240123783209261e+000,
-9.315009216150985e-001,2.856241058570798e-001,1.055238995437398e+000},
{3.105868201920377e+000,-9.078707625912555e-001,2.813293968109665e-001,
1.055900285640210e+000},{2.977591609870003e+000,-8.849631421045409e-001,
2.770953980214663e-001,1.056559093916054e+000},{2.855007736411922e+000,
-8.627538388958096e-001,2.729208587048513e-001,1.057215390160977e+000},
{2.737843340741328e+000,-8.412195136795313e-001,2.688045537828591e-001,
1.057869143816096e+000},{2.625839966333147e+000,-8.203377040825038e-001,
2.647452832788387e-001,1.058520323856107e+000},{2.518752537811653e+000,
-8.000867793714089e-001,2.607418715874039e-001,1.059168898777473e+000},
{2.416347515483972e+000,-7.804458970053758e-001,2.567931667932268e-001,
1.059814836586282e+000},{2.318403819543128e+000,-7.613949896269223e-001,
2.528980400707821e-001,1.060458104785751e+000},{2.224711437052068e+000,
-7.429147243016000e-001,2.490553850107021e-001,1.061098670363362e+000},
{2.135070864890457e+000,-7.249864743581408e-001,2.452641170068208e-001,
1.061736499777632e+000},{2.049292370784272e+000,-7.075922907052119e-001,
2.415231726533505e-001,1.062371558944488e+000},{1.967195951634708e+000,
-6.907148805172072e-001,2.378315091641534e-001,1.063003813223237e+000},
{1.888610625422974e+000,-6.743375783849550e-001,2.341881037825931e-001,
1.063633227402109e+000},{1.813373338023230e+000,-6.584443161814407e-001,
2.305919532083683e-001,1.064259765683374e+000},{1.741329942532738e+000,
-6.430196157987128e-001,2.270420730859128e-001,1.064883391667998e+000},
{1.672332880740151e+000,-6.280485445058859e-001,2.235374974033225e-001,
1.065504068339818e+000},{1.606242962644326e+000,-6.135167194115672e-001,
2.200772780372606e-001,1.066121758049242e+000},{1.542926476725079e+000,
-5.994102568101398e-001,2.166604841494812e-001,1.066736422496424e+000},
{1.482257663729330e+000,-5.857157876199568e-001,2.132862017855761e-001,
1.067348022713911e+000},{1.424115512595617e+000,-5.724204016631274e-001,
2.099535332621227e-001,1.067956519048742e+000},{1.368385956028459e+000,
-5.595116632457267e-001,2.066615967928144e-001,1.068561871143958e+000},
{1.314959655325564e+000,-5.469775676628228e-001,2.034095259190647e-001,
1.069164037919527e+000},{1.263733008673720e+000,-5.348065427110748e-001,
2.001964691070868e-001,1.069762977552636e+000},{1.214607187882344e+000,
-5.229874224736636e-001,1.970215892474923e-001,1.070358647457329e+000},
{1.167487900381954e+000,-5.115094337620333e-001,1.938840632171667e-001,
1.070951004263476e+000},{1.122285845216134e+000,-5.003621898130956e-001,
1.907830814535250e-001,1.071540003795025e+000},{1.078915247650273e+000,
-4.895356599254621e-001,1.877178474670392e-001,1.072125601047531e+000},
{1.037295122562504e+000,-4.790201767587073e-001,1.846875774806051e-001,
1.072707750164894e+000},{9.973476732340229e-001,-4.688064029957253e-001,
1.816914999294402e-001,1.073286404415327e+000},{9.589990505709063e-001,
-4.588853343284500e-001,1.787288551054327e-001,1.073861516166452e+000},
{9.221789716891475e-001,-4.492482827697643e-001,1.757988947129753e-001,
1.074433036859547e+000},{8.868200204717667e-001,-4.398868591505740e-001,
1.729008814488281e-001,1.075000916982876e+000},{8.528583447359696e-001,
-4.307929744054440e-001,1.700340886366837e-001,1.075565106044062e+000},
{8.202326838157281e-001,-4.219588172117957e-001,1.671977997847816e-001,
1.076125552541462e+000},{7.888848153812587e-001,-4.133768531089824e-001,
1.643913082231699e-001,1.076682203934512e+000},{7.587591016827582e-001,
-4.050398098899249e-001,1.616139166886254e-001,1.077235006612980e+000},
{7.298024187385580e-001,-3.969406696719444e-001,1.588649369407936e-001,
1.077783905865066e+000},{7.019641615586063e-001,-3.890726619994999e-001,
1.561436893787574e-001,1.078328845844344e+000},{6.751958155391025e-001,
-3.814292509316639e-001,1.534495026395216e-001,1.078869769535422e+000},
{6.494512832440340e-001,-3.740041339282753e-001,1.507817132366013e-001,
1.079406618718322e+000},{6.246863366052458e-001,-3.667912267567835e-001,
1.481396651445827e-001,1.079939333931487e+000},{6.008588763477613e-001,
-3.597846624325521e-001,1.455227094421928e-001,1.080467854433345e+000},
{5.779285217568081e-001,-3.529787788792315e-001,1.429302039043457e-001,
1.080992118162387e+000},{5.558567917843585e-001,-3.463681168961781e-001,
1.403615126355752e-001,1.081512061695666e+000},{5.346068604525098e-001,
-3.399474109122525e-001,1.378160056691672e-001,1.082027620205633e+000},
{5.141434781643980e-001,-3.337115829553734e-001,1.352930585791013e-001,
1.082538727415259e+000},{4.944329639780074e-001,-3.276557382434219e-001,
1.327920520940830e-001,1.083045315551323e+000},{4.754430791164752e-001,
-3.217751584695526e-001,1.303123716960193e-001,1.083547315295785e+000},
{4.571429700194347e-001,-3.160652967851284e-001,1.278534072210391e-001,
1.084044655735171e+000},{4.395030793576999e-001,-3.105217725167348e-001,
1.254145524556692e-001,1.084537264307814e+000},{4.224951347995459e-001,
-3.051403671189442e-001,1.229952047280423e-001,1.085025066748905e+000},
{4.060920172580015e-001,-2.999170184671716e-001,1.205947644878575e-001,
1.085507987033182e+000},{3.902677687631728e-001,-2.948478175978236e-001,
1.182126348866422e-001,1.085985947315169e+000},{3.749974640139346e-001,
-2.899290035159611e-001,1.158482213427176e-001,1.086458867866821e+000},
{3.602572392362872e-001,-2.851569605786520e-001,1.135009311044318e-001,
1.086926667012439e+000},{3.460241836412211e-001,-2.805282138082644e-001,
1.111701727955525e-001,1.087389261060693e+000},{3.322762639573303e-001,
-2.760394252131759e-001,1.088553559545610e-001,1.087846564233622e+000},
{3.189924082087265e-001,-2.716873926785463e-001,1.065558905672928e-001,
1.088298488592417e+000},{3.061522734419424e-001,-2.674690435082296e-001,
1.042711865658687e-001,1.088744943959822e+000},{2.937363571423171e-001,
-2.633814348735849e-001,1.020006533438568e-001,1.089185837838947e+000},
{2.817258998316861e-001,-2.594217496446171e-001,9.974369922720212e-002,
1.089621075328317e+000},{2.701028054319830e-001,-2.555872936090732e-001,
9.749973094036724e-002,1.090050559032902e+000},{2.588496724626022e-001,
-2.518754945945531e-001,9.526815305771809e-002,1.090474188970921e+000},
{2.479497198536963e-001,-2.482838997491669e-001,9.304836742418512e-002,
1.090891862476159e+000},{2.373867619937749e-001,-2.448101740087793e-001,
9.083977255919505e-002,1.091303474095537e+000},{2.271451341955907e-001,
-2.414520978672889e-001,8.864176303197963e-002,1.091708915481636e+000},
{2.172097526882940e-001,-2.382075679770417e-001,8.645372882164712e-002,
1.092108075279883e+000},{2.075659648124981e-001,-2.350745935908722e-001,
8.427505462681409e-002,1.092500839010061e+000},{1.981996108168476e-001,
-2.320512978432888e-001,8.210511916873743e-002,1.092887088941785e+000},
{1.890969390096326e-001,-2.291359160192762e-001,7.994329444160937e-002,
1.093266703963582e+000},{1.802446007941124e-001,-2.263267957100681e-001,
7.778894493527934e-002,1.093639559445137e+000},{1.716296024717335e-001,
-2.236223964383276e-001,7.564142681292767e-002,1.094005527092300e+000},
{1.632392977069316e-001,-2.210212903349189e-001,7.350008705079136e-002,
1.094364474794345e+000},{1.550613159026258e-001,-2.185221618314115e-001,
7.136426252241583e-002,1.094716266463003e+000},{1.470836025508062e-001,
-2.161238099240935e-001,6.923327904352281e-002,1.095060761862684e+000},
{1.392943026502691e-001,-2.138251474258300e-001,6.710645034366781e-002,
1.095397816431321e+000},{1.316817983518666e-001,-2.116252040084782e-001,
6.498307699545154e-002,1.095727281091176e+000},{1.242346587117034e-001,
-2.095231275596812e-001,6.286244526583852e-002,1.096049002048916e+000},
{1.169415784462329e-001,-2.075181858211773e-001,6.074382589610382e-002,
1.096362820584195e+000},{1.097913955238220e-001,-2.056097701035541e-001,
5.862647281078301e-002,1.096668572825930e+000},{1.027730154333125e-001,
-2.037973975454059e-001,5.650962173221349e-002,1.096966089515387e+000},
{9.587540256029346e-002,-2.020807152969548e-001,5.439248870826525e-002,
1.097255195755098e+000},{8.908754193525671e-002,-2.004595045004713e-001,
5.227426853327376e-002,1.097535710742557e+000},{8.239836637349100e-002,
-1.989336843919031e-001,5.015413305815167e-002,1.097807447487560e+000},
{7.579678506229054e-002,-1.975033192009564e-001,4.803122938748919e-002,
1.098070212511922e+000},{6.927156268654561e-002,-1.961686223190508e-001,
4.590467792438880e-002,1.098323805530231e+000},{6.281133833354630e-002,
-1.949299647595855e-001,4.377357029036171e-002,1.098568019110113e+000},
{5.640453232697693e-002,-1.937878816798458e-001,4.163696706650428e-002,
1.098802638310406e+000},{5.003932121783335e-002,-1.927430817480175e-001,
3.949389537115199e-002,1.099027440295432e+000},{4.370356344501013e-002,
-1.917964562372977e-001,3.734334623333660e-002,1.099242193923410e+000},
{3.738474704089313e-002,-1.909490901638774e-001,3.518427175977259e-002,
1.099446659306848e+000},{3.106990814761928e-002,-1.902022738733920e-001,
3.301558205824082e-002,1.099640587342539e+000},{2.471924771693251e-002,
-1.895570588253832e-001,3.083614013868847e-002,1.099823719208536e+000},
{1.834223327637784e-002,-1.890154314600311e-001,2.864476241935234e-002,
1.099995785825217e+000},{1.195094886503533e-002,-1.885798454355235e-001,
2.644021168354557e-002,1.100156507277238e+000},{5.557050709009414e-003,
-1.882515929288725e-001,2.418461128139228e-002,1.100307943910574e+000},
{-8.014493909795158e-004,-1.880402684286048e-001,2.194575815737601e-002,
1.100445109478535e+000},{-7.135417654424650e-003,-1.879436446578345e-001,
1.972726442004061e-002,1.100567996583830e+000},{-1.345870138684300e-002,
-1.879591637675092e-001,1.752795451986745e-002,1.100676931096945e+000},
{-1.978471856691031e-002,-1.880845063496110e-001,1.534670037602332e-002,
1.100772233147846e+000},{-2.612655707280306e-002,-1.883175768416115e-001,
1.318241876916896e-002,1.100854217210090e+000},{-3.249697575622967e-002,
-1.886564925021107e-001,1.103406890701701e-002,1.100923192183922e+000},
{-3.890850468817631e-002,-1.890995704946074e-001,8.900650115975411e-003,
1.100979461478381e+000},{-4.537347157514723e-002,-1.896453182395342e-001,
6.781199688611053e-003,1.101023323092393e+000},{-5.190403204992995e-002,
-1.902924240651144e-001,4.674790850459827e-003,1.101055069694875e+000},
{-5.851225277558175e-002,-1.910397473018965e-001,2.580530837908182e-003,
1.101074988703860e+000},{-6.521011476274589e-002,-1.918863113150857e-001,
4.975591027557807e-004,1.101083362364609e+000},{-7.200957075288722e-002,
-1.928312955496475e-001,-1.574954392253073e-003,1.101080467826757e+000},
{-7.892258128041750e-002,-1.938740289010325e-001,-3.637810776014087e-003,
1.101066577220491e+000},{-8.596114095058548e-002,-1.950139836709728e-001,
-5.691783782005860e-003,1.101041957731749e+000},{-9.313731870582566e-002,
-1.962507697828389e-001,-7.737621177713153e-003,1.101006871676471e+000},
{-1.004633132706661e-001,-1.975841292444321e-001,-9.776046115403617e-003,
1.100961576573900e+000},{-1.079514189138674e-001,-1.990139329502044e-001,
-1.180775839988235e-002,1.100906325218945e+000},{-1.156141501458894e-001,
-2.005401741857532e-001,-1.383343570756720e-002,1.100841365753626e+000},
{-1.234641865756744e-001,-2.021629669142985e-001,-1.585373471362041e-002,
1.100766941737587e+000},{-1.315144632458761e-001,-2.038825407987732e-001,
-1.786929218092619e-002,1.100683292217720e+000},{-1.397781622796490e-001,
-2.056992389395121e-001,-1.988072597730302e-002,1.100590651796894e+000},
{-1.482687849379858e-001,-2.076135142055186e-001,-2.188863604735403e-002,
1.100489250701797e+000},{-1.570001127509399e-001,-2.096259281418626e-001,
-2.389360532338351e-002,1.100379314849913e+000},{-1.659863131041873e-001,
-2.117371469439204e-001,-2.589620060511024e-002,1.100261065915656e+000},
{-1.752419465890530e-001,-2.139479403721047e-001,-2.789697337688882e-002,
1.100134721395630e+000},{-1.847819278769801e-001,-2.162591809460440e-001,
-2.989646059049550e-002,1.100000494673090e+000},{-1.946216794315628e-001,
-2.186718402076742e-001,-3.189518541573153e-002,1.099858595081566e+000},
{-2.047770670769773e-001,-2.211869893365289e-001,-3.389365793731571e-002,
1.099709227967682e+000},{-2.152644567239538e-001,-2.238057975178256e-001,
-3.589237582835234e-002,1.099552594753185e+000},{-2.261007643374610e-001,
-2.265295306054332e-001,-3.789182498937845e-002,1.099388892996184e+000},
{-2.373034676588316e-001,-2.293595508675275e-001,-3.989248015126330e-002,
1.099218316451631e+000},{-2.488906597672881e-001,-2.322973162338434e-001,
-4.189480545039329e-002,1.099041055131017e+000},{-2.608810484226545e-001,
-2.353443803241083e-001,-4.389925497691962e-002,1.098857295361356e+000},
{-2.732940302195583e-001,-2.385023915702908e-001,-4.590627329721378e-002,
1.098667219843396e+000},{-2.861497020009324e-001,-2.417730936839753e-001,
-4.791629594706479e-002,1.098471007709130e+000},{-2.994689199938831e-001,
-2.451583253792444e-001,-4.992974990525140e-002,1.098268834578575e+000},
{-3.132732751354347e-001,-2.486600214001266e-001,-5.194705404153135e-002,
1.098060872615857e+000},{-3.275852638322766e-001,-2.522802108711590e-001,
-5.396861955037104e-002,1.097847290584594e+000},{-3.424281663994858e-001,
-2.560210205428296e-001,-5.599485034861269e-002,1.097628253902595e+000},
{-3.578293520435974e-001,-2.598846367187872e-001,-5.802614356800304e-002,
1.097403924695883e+000},{-3.737991995924480e-001,-2.638735869985462e-001,
-6.006288915407318e-002,1.097174461852052e+000},{-3.903902600560969e-001,
-2.679898530112919e-001,-6.210547303843708e-002,1.096940021072966e+000},
{-4.076012547942460e-001,-2.722364457397745e-001,-6.415427156013318e-002,
1.096700754925520e+000},{-4.254343891046640e-001,-2.766161117295213e-001,
-6.620965819623846e-002,1.096456812898149e+000},{-4.438339027573641e-001,
-2.811320490392464e-001,-6.827199959147826e-002,1.096208341444035e+000},
{-4.644750403946706e-001,-2.857679946652489e-001,-7.034170236902584e-002,
1.095955484037268e+000},{-4.820890817525319e-001,-2.906000672424869e-001,
-7.241891749894044e-002,1.095698381226341e+000},{-5.047134822541359e-001,
-2.955056304565424e-001,-7.450444780138031e-002,1.095437170699271e+000},
{-5.258914498568529e-001,-3.006012937060756e-001,-7.659813906378293e-002,
1.095171987136068e+000},{-5.484047930470472e-001,-3.058375854914676e-001,
-7.870062238535235e-002,1.094902962737344e+000},{-5.718129216158286e-001,
-3.112278431359212e-001,-8.081217584455191e-002,1.094630226742015e+000},
{-5.961547440676940e-001,-3.167755376343922e-001,-8.293313841275786e-002,
1.094353905753897e+000},{-6.214708520460160e-001,-3.224842528277391e-001,
-8.506384586954169e-002,1.094074123729523e+000},{-6.478032148383646e-001,
-3.283576921832907e-001,-8.720463098789563e-002,1.093791002023522e+000},
{-6.751957491746247e-001,-3.343996727291274e-001,-8.935582375150214e-002,
1.093504659433427e+000},{-7.036936171960371e-001,-3.406141369349701e-001,
-9.151775149673061e-002,1.093215212243908e+000},{-7.333438920356818e-001,
-3.470051435467684e-001,-9.369073911646579e-002,1.092922774270491e+000},
{-7.649284588825603e-001,-3.535701423882779e-001,-9.587512294577692e-002,
1.092627456902683e+000},{-7.987573127935487e-001,-3.603086226499994e-001,
-9.807123530043556e-002,1.092329369146623e+000},{-8.351881293636163e-001,
-3.672179068043334e-001,-1.002794318903687e-001,1.092028617667189e+000},
{-8.746337064830027e-001,-3.750216293989062e-001,-1.027084493542587e-001,
1.091696779574096e+000},{-9.182631668618914e-001,-3.831991324672869e-001,
-1.051985063743867e-001,1.091355729081559e+000},{-9.598866647526484e-001,
-3.918556861719648e-001,-1.077524800454063e-001,1.091005198961375e+000},
{-1.010790497453898e+000,-4.008622937465624e-001,-1.103741544582843e-001,
1.090644908830807e+000},{-1.061585597914184e+000,-4.104074244317262e-001,
-1.130664113126074e-001,1.090274564104240e+000},{-1.116923652713534e+000,
-4.204470439736384e-001,-1.158334219482580e-001,1.089893855365184e+000},
{-1.176390470616413e+000,-4.310341925159665e-001,-1.186791465288392e-001,
1.089502456776096e+000},{-1.240398358090701e+000,-4.422099547341248e-001,
-1.216079485825098e-001,1.089100025144463e+000},{-1.309411351967095e+000,
-4.540194728668653e-001,-1.246245298507227e-001,1.088686198529077e+000},
{-1.383952478324663e+000,-4.665124525546056e-001,-1.277339645466649e-001,
1.088260594774788e+000},{-1.464613539394650e+000,-4.797437255410850e-001,
-1.309417379885211e-001,1.087822809897360e+000},{-1.552065595474018e+000,
-4.937739146636258e-001,-1.342537901400978e-001,1.087372416299330e+000},
{-1.647071854814870e+000,-5.086701932065426e-001,-1.376765649336416e-001,
1.086908960794945e+000},{-1.750503179964703e+000,-5.245071629179311e-001,
-1.412170662450014e-001,1.086431962418652e+000},{-1.863356315547510e+000,
-5.413678789587019e-001,-1.448829215901497e-001,1.085940909987632e+000},
{-1.986775922871999e+000,-5.593450423418901e-001,-1.486824548572708e-001,
1.085435259383995e+000},{-2.122081131299789e+000,-5.785423947412177e-001,
-1.526247696085506e-001,1.084914430516412e+000},{-2.270797351520379e+000,
-5.990763602365653e-001,-1.567198447858746e-001,1.084377803914027e+000},
{-2.434695501360245e+000,-6.210779709042096e-001,-1.609786450924524e-001,
1.083824716897111e+000},{-2.615838531681118e+000,-6.446951619454530e-001,
-1.654132486612294e-001,1.083254459258780e+000},{-2.816639044616160e+000,
-6.700954812249659e-001,-1.700369953943099e-001,1.082666268379815e+000},
{-3.039928700415489e+000,-6.974693316356091e-001,-1.748646598439750e-001,
1.082059323683556e+000},{-3.292219758098840e+000,-7.270000140981027e-001,
-1.799127335700266e-001,1.081432740319499e+000},{-3.564782476198684e+000,
-7.591050350223508e-001,-1.851990623476152e-001,1.080785561941540e+000},
{-3.884190359823099e+000,-7.937345882311215e-001,-1.907452448062669e-001,
1.080116752418797e+000},{-4.237141139726640e+000,-8.315523945506937e-001,
-1.965727692029269e-001,1.079425186076460e+000},{-4.639142492737927e+000,
-8.727752413556356e-001,-2.027083906666977e-001,1.078709637232685e+000},
{-5.097189675608282e+000,-9.178820437390601e-001,-2.091811202970346e-001,
1.077968766554805e+000},{-5.621762464449057e+000,-9.673950144480338e-001,
-2.160241562151455e-001,1.077201106424277e+000},{-6.225833712033967e+000,
-1.021929051176963e+000,-2.232753772451849e-001,1.076405043117602e+000},
{-6.925601260591495e+000,-1.082212356404202e+000,-2.309782180242463e-001,
1.075578795840945e+000},{-7.741476361496349e+000,-1.149112657464135e+000,
-2.391827511126749e-001,1.074720391772839e+000},{-8.699439370277643e+000,
-1.223670757770951e+000,-2.479470365689759e-001,1.073827636152860e+000},
{-9.832921391371407e+000,-1.307143891200575e+000,-2.573388201788544e-001,
1.072898076168983e+000},{-1.118545570250340e+001,-1.401062230883758e+000,
-2.674376916575652e-001,1.071928957010234e+000},{-1.281446878655493e+001,
-1.507303306245227e+000,-2.783378567732671e-001,1.070917167920417e+000},
{-1.479678827882319e+001,-1.628191020093895e+000,-2.901517399548284e-001,
1.069859175350126e+000},{-1.724144136142261e+001,-1.766576297530559e+000,
-3.030148579310907e-001,1.068750939259828e+000},{-2.027826987203854e+001,
-1.926337376059677e+000,-3.170912838064992e-001,1.067587807127434e+000},
{-2.413687940816858e+001,-2.111734868657410e+000,-3.325851366637468e-001,
1.066364378021886e+000},{-2.909401840847157e+001,-2.329151580543732e+000,
-3.497470819764231e-001,1.065074325623783e+000},{-3.559985600470116e+001,
-2.586219259879967e+000,-3.688972788252130e-001,1.063710165062041e+000},
{-4.432903871576617e+001,-2.893237376748189e+000,-3.904455236187271e-001,
1.062262938236866e+000},{-5.635486800356907e+001,-3.263787309390394e+000,
-4.149289589297027e-001,1.060721782952100e+000},{-7.345422356224562e+001,
-3.715852360320928e+000,-4.430674062157222e-001,1.059073327378870e+000},
{-9.872541030429800e+001,-4.272847713002282e+000,-4.758525332055549e-001,
1.057300816644650e+000},{-1.379029789580371e+002,-4.963698528158174e+000,
-5.146977811000596e-001,1.055382812700357e+000},{-2.025227956751322e+002,
-5.816502032157165e+000,-5.617124713275824e-001,1.053291185212563e+000},
{-3.066576906266529e+002,-6.965314926095712e+000,-6.198853650303311e-001,
1.050987862948901e+000},{-4.830543755124683e+002,-8.666062419141326e+000,
-6.938823513423141e-001,1.048419277617361e+000},{-8.084833331246175e+002,
-1.148692234324379e+001,-7.910281397083958e-001,1.045506157577100e+000},
{-1.468144450984898e+003,-1.270342041479051e+001,-8.932720264828298e-001,
1.043022458452853e+000},{-2.960185006157666e+003,-1.204645827816411e+001,
-1.037687543523871e+000,1.040192609451484e+000},{-6.394379648177180e+003,
-1.133095662667407e+001,-1.255214139021270e+000,1.036731981255395e+000},
{-1.421291626844065e+004,-2.176830415540717e+001,-1.565859480023533e+000,
1.032664478961364e+000},{-3.188506981409266e+004,-4.472235675466877e+001,
-1.957122092195666e+000,1.028823550217078e+000},{-7.717088076510136e+004,
-4.157109709425348e+001,-2.425675063473610e+000,1.025629204891293e+000},
{-1.893604841837793e+005,1.988107110128464e+001,-3.037933999829498e+000,
1.022682315051265e+000},{-4.362759910617617e+005,4.356252894797460e+000,
-3.857056802145624e+000,1.019493900338764e+000},{-9.667858531739716e+005,
-7.110743222205122e+002,-5.068028151693111e+000,1.015606411778339e+000},
{-1.926807175753026e+006,-1.308643373681819e+003,-6.100046763833379e+000,
1.013498423615123e+000},{-4.430874958584904e+006,-5.255191972894967e+002,
-6.892511697752738e+000,1.012521645013935e+000},{-1.306500915854772e+007,
1.740498999891739e+003,-8.577603939805345e+000,1.010846737556340e+000},
{-4.389793234302502e+007,9.560482174458750e+003,-1.148948797863325e+001,
1.009039661353492e+000},{-1.453953316964447e+008,8.587054210867187e+003,
-1.476464101007846e+001,1.006692766581286e+000},{-3.516933123906404e+008,
-1.085943267171107e+004,-1.840303816166151e+001,1.005101578506159e+000},
{-2.510574163087101e+012,1.191163343802633e+008,-1.412900529450008e+003,
1.004074865378772e+000}};
constant Real[Ninterval, 4] slcoef={{1.177557139507648e+010,-1.993514199606193e+006,
4.143546065409241e+002,2.641402961120132e-001},{1.048671143722957e+010,
-1.884478673305442e+006,4.037631012049168e+002,2.652511930832029e-001},
{9.168562051007404e+009,-1.788981183928967e+006,3.950602310696419e+002,
2.661829932674829e-001},{7.846446101028213e+009,-1.614583713308304e+006,
3.761535139366466e+002,2.682996669625260e-001},{6.715017635832893e+009,
-1.457222530950107e+006,3.581621886022840e+002,2.704246269918255e-001},
{5.747015349679062e+009,-1.315240915328985e+006,3.410420212198932e+002,
2.725579055981067e-001},{4.918630356754790e+009,-1.187122828234776e+006,
3.247498175022562e+002,2.746996665285123e-001},{4.209783796072495e+009,
-1.071515458129660e+006,3.092453129575851e+002,2.768499837872521e-001},
{3.603174902826428e+009,-9.671924631452678e+005,2.944898874475471e+002,
2.790089741555691e-001},{3.084079936755044e+009,-8.730521764425569e+005,
2.804471553915772e+002,2.811767093063310e-001},{2.639848105537634e+009,
-7.880971686153368e+005,2.670822304519017e+002,2.833533034650044e-001},
{2.259641698967966e+009,-7.114290219738688e+005,2.543622233288261e+002,
2.855388260072460e-001},{1.934270134269886e+009,-6.422381187091104e+005,
2.422554107091234e+002,2.877334319246923e-001},{1.655784123271669e+009,
-5.797918189723861e+005,2.307318702957838e+002,2.899372311407367e-001},
{1.417436324893234e+009,-5.234328119503804e+005,2.197634071875102e+002,
2.921502891166354e-001},{1.213429199043588e+009,-4.725651621534369e+005,
2.093227855305521e+002,2.943727562457704e-001},{1.038821174264480e+009,
-4.266538020807887e+005,1.993845312208418e+002,2.966046954288835e-001},
{8.900554569418168e+008,-3.852391963057016e+005,1.899242490751680e+002,
2.988462540463003e-001},{7.648023186829292e+008,-3.479479314856909e+005,
1.809193670502903e+002,3.010975350565891e-001},{6.592177452001010e+008,
-3.143877634345993e+005,1.723482399369443e+002,3.033586400558302e-001},
{5.700843185859680e+008,-2.846663102712536e+005,1.643477796985073e+002,
3.055842723398675e-001},{4.943633825796188e+008,-2.589969957748900e+005,
1.571225846083740e+002,3.076990337830958e-001},{4.291125156131715e+008,
-2.357953619216334e+005,1.502638626066520e+002,3.098084456029034e-001},
{3.728306499579160e+008,-2.148103610406289e+005,1.437508020718366e+002,
3.119125568514417e-001},{3.242364285177285e+008,-1.958176234450135e+005,
1.375638868362061e+002,3.140114157267036e-001},{2.822412748713871e+008,
-1.786169231686780e+005,1.316848160932519e+002,3.161050695947951e-001},
{2.459125658184237e+008,-1.630289616337319e+005,1.260964138486158e+002,
3.181935650115526e-001},{2.144580625278116e+008,-1.488936415091122e+005,
1.207825640937267e+002,3.202769477435048e-001},{1.871966290478286e+008,
-1.360673141338019e+005,1.157281282277565e+002,3.223552627882310e-001},
{1.635488056210168e+008,-1.244215705088064e+005,1.109188923271442e+002,
3.244285543941092e-001},{1.430161329214414e+008,-1.138410894667223e+005,
1.063414954697406e+002,3.264968660794893e-001},{1.251717914268840e+008,
-1.042224881444728e+005,1.019833809887122e+002,3.285602406513014e-001},
{1.096508061352110e+008,-9.547306166403441e+004,9.783274285471715e+001,
3.306187202231238e-001},{9.613753724667005e+007,-8.750933370030554e+004,
9.387847130169364e+001,3.326723462327222e-001},{8.436265639394236e+007,
-8.025648609043579e+004,9.011011773741680e+001,3.347211594590819e-001},
{7.409313187822527e+007,-7.364708312272583e+004,8.651784263733413e+001,
3.367652000389455e-001},{6.512895658412796e+007,-6.762051692091678e+004,
8.309238335216898e+001,3.388045074828699e-001},{5.729728405538097e+007,
-6.212215934894936e+004,7.982501352086291e+001,3.408391206908288e-001},
{5.044953216127181e+007,-5.710284583154797e+004,7.670751215248156e+001,
3.428690779673607e-001},{4.445647437035704e+007,-5.251814570452608e+004,
7.373212777286675e+001,3.448944170362825e-001},{3.920767247485867e+007,
-4.832812939512341e+004,7.089155600321682e+001,3.469151750549936e-001},
{3.460643566473103e+007,-4.449659421205359e+004,6.817890214139165e+001,
3.489313886283582e-001},{3.056970641837368e+007,-4.099094122891565e+004,
6.558766506547076e+001,3.509430938222040e-001},{2.702540190216035e+007,
-3.778168333466380e+004,6.311170749756870e+001,3.529503261764371e-001},
{2.391081714254122e+007,-3.484213008611726e+004,6.074523461994335e+001,
3.549531207177877e-001},{2.117170192432593e+007,-3.214816129623113e+004,
5.848277505538282e+001,3.569515119721937e-001},{1.876094064229434e+007,
-2.967793653594457e+004,5.631915951588184e+001,3.589455339768409e-001},
{1.663741340545124e+007,-2.741164725010574e+004,5.424950232335298e+001,
3.609352202918695e-001},{1.476547731295308e+007,-2.533136468686681e+004,
5.226918630626200e+001,3.629206040117464e-001},{1.311405368894354e+007,
-2.342082009135800e+004,5.037384498385280e+001,3.649017177763315e-001},
{1.165604536024709e+007,-2.166524918697802e+004,4.855934824972481e+001,
3.668785937816321e-001},{1.036780283368990e+007,-2.005124607418004e+004,
4.682178849186924e+001,3.688512637902600e-001},{9.228723479638483e+006,
-1.856664063058170e+004,4.515746777050035e+001,3.708197591416083e-001},
{8.220767144960379e+006,-1.720036292993756e+004,4.356288478792973e+001,
3.727841107617398e-001},{7.328189892577781e+006,-1.594235240875964e+004,
4.203472422676561e+001,3.747443491730145e-001},{6.537204250437003e+006,
-1.478345202257369e+004,4.056984541826727e+001,3.767005045034494e-001},
{5.835726559790004e+006,-1.371532397872642e+004,3.916527248752735e+001,
3.786526064958268e-001},{5.213185995368226e+006,-1.273037834190048e+004,
3.781818514258747e+001,3.806006845165569e-001},{4.660312354353476e+006,
-1.182169731669702e+004,3.652590940436652e+001,3.825447675643013e-001},
{4.168939088305709e+006,-1.098296699999315e+004,3.528590920102089e+001,
3.844848842783646e-001},{3.731941349696544e+006,-1.020843939792505e+004,
3.409577949657835e+001,3.864210629468634e-001},{3.343018842151671e+006,
-9.492857477753520e+003,3.295323749642467e+001,3.883533315146766e-001},
{2.996638160477085e+006,-8.831424276104683e+003,3.185611695501934e+001,
3.902817175911858e-001},{2.687950210708543e+006,-8.219762157299303e+003,
3.080236148343732e+001,3.922062484578109e-001},{2.412652443194333e+006,
-7.653860521818649e+003,2.979001765514563e+001,3.941269510753455e-001},
{2.166972405327071e+006,-7.130058286584131e+003,2.881723052100683e+001,
3.960438520911025e-001},{1.947576947792416e+006,-6.645003522979915e+003,
2.788223738207444e+001,3.979569778458746e-001},{1.751525675665824e+006,
-6.195628233643848e+003,2.698336301772617e+001,3.998663543807083e-001},
{1.576215494282452e+006,-5.779120941281210e+003,2.611901481818039e+001,
4.017720074435056e-001},{1.419353182727988e+006,-5.392908148824695e+003,
2.528767861012635e+001,4.036739624954574e-001},{1.278906533893276e+006,
-5.034629032900475e+003,2.448791404432028e+001,4.055722447173105e-001},
{1.153074815308473e+006,-4.702117917310478e+003,2.371835083258324e+001,
4.074668790154691e-001},{1.040267269572240e+006,-4.393389187391892e+003,
2.297768513031833e+001,4.093578900279491e-001},{9.390721944414651e+005,
-4.106619140813017e+003,2.226467576001038e+001,4.112453021301762e-001},
{8.482361512114307e+005,-3.840132438338376e+003,2.157814101065838e+001,
4.131291394406401e-001},{7.666490444341356e+005,-3.592390669372514e+003,
2.091695561139572e+001,4.150094258264032e-001},{6.933244377674338e+005,
-3.361979229162954e+003,2.028004761843898e+001,4.168861849084756e-001},
{6.273833850441934e+005,-3.147596365453398e+003,1.966639566026135e+001,
4.187594400670539e-001},{5.680493701729885e+005,-2.948046437224073e+003,
1.907502654460529e+001,4.206292144466324e-001},{5.146259094288983e+005,
-2.762226337105739e+003,1.850501230753378e+001,4.224955309609856e-001},
{4.664966079472982e+005,-2.589122141751236e+003,1.795546841607669e+001,
4.243584122980267e-001},{4.231115651009208e+005,-2.427799181763609e+003,
1.742555118911682e+001,4.262178809245570e-001},{3.839792678848923e+005,
-2.277395453181725e+003,1.691445579070118e+001,4.280739590908861e-001},
{3.486632470541687e+005,-2.137117115184443e+003,1.642141441733220e+001,
4.299266688353537e-001},{3.167723452866394e+005,-2.006231019071146e+003,
1.594569419580369e+001,4.317760319887326e-001},{2.879581579606791e+005,
-1.884061136618374e+003,1.548659563100448e+001,4.336220701785344e-001},
{2.619091112658384e+005,-1.769983168287696e+003,1.504345081784956e+001,
4.354648048332044e-001},{2.383466576671081e+005,-1.663420519322795e+003,
1.461562190867013e+001,4.373042571862285e-001},{2.170211247057410e+005,
-1.563840223729814e+003,1.420249960746107e+001,4.391404482801311e-001},
{1.977102806012762e+005,-1.470750305289779e+003,1.380350185368774e+001,
4.409733989703888e-001},{1.802132568331950e+005,-1.383694745078228e+003,
1.341807226290494e+001,4.428031299292535e-001},{1.643517256222710e+005,
-1.302252783281351e+003,1.304567919411233e+001,4.446296616494750e-001},
{1.499647429474115e+005,-1.226034288211031e+003,1.268581423597655e+001,
4.464530144479596e-001},{1.369083619764228e+005,-1.154678401042467e+003,
1.233799128533460e+001,4.482732084693222e-001},{1.250530635446248e+005,
-1.087850707548286e+003,1.200174537304730e+001,4.500902636893757e-001},
{1.142828813183554e+005,-1.025241603778916e+003,1.167663171816983e+001,
4.519041999185328e-001},{1.044932010702937e+005,-9.665638335328233e+002,
1.136222467710369e+001,4.537150368051356e-001},{9.559024735983493e+004,
-9.115512664941300e+002,1.105811692791990e+001,4.555227938387087e-001},
{8.748948014204207e+004,-8.599568992252292e+002,1.076391852809859e+001,
4.573274903531447e-001},{8.011488050377187e+004,-8.115515935776252e+002,
1.047925614072886e+001,4.591291455298160e-001},{7.339789345132106e+004,
-7.661225797978357e+002,1.020377222883108e+001,4.609277784006200e-001},
{6.727691002196107e+004,-7.234723932600134e+002,9.937124346632666e+000,
4.627234078509644e-001},{6.169614021722738e+004,-6.834173972226075e+002,
9.678984382191800e+000,4.645160526226781e-001},{5.660547400068403e+004,
-6.457871273196512e+002,9.429037972024533e+000,4.663057313168709e-001},
{5.195953611750653e+004,-6.104229732107484e+002,9.186983791759216e+000,
4.680924623967295e-001},{4.771745208001675e+004,-5.771775202529138e+002,
8.952533011439000e+000,4.698762641902499e-001},{4.384220812640152e+004,
-5.459135464020653e+002,8.725408685310237e+000,4.716571548929249e-001},
{4.030038590987054e+004,-5.165033923275631e+002,8.505345242117434e+000,
4.734351525703650e-001},{3.706177619104521e+004,-4.888282167622580e+002,
8.292087953582172e+000,4.752102751608759e-001},{3.409901222107622e+004,
-4.627773087875500e+002,8.085392439164183e+000,4.769825404779763e-001},
{3.138732351663624e+004,-4.382475368783908e+002,7.885024214209901e+000,
4.787519662128720e-001},{2.890427534083820e+004,-4.151427919551941e+002,
7.690758243308068e+000,4.805185699368778e-001},{2.662955418230496e+004,
-3.933734889327271e+002,7.502378519257654e+000,4.822823691037926e-001},
{2.454471428578327e+004,-3.728560514675434e+002,7.319677653248337e+000,
4.840433810522326e-001},{2.263303970197622e+004,-3.535125325278318e+002,
7.142456508875918e+000,4.858016230079136e-001},{2.087936933258245e+004,
-3.352701961397641e+002,6.970523831131070e+000,4.875571120858966e-001},
{1.926989719907531e+004,-3.180611010588355e+002,6.803695893605354e+000,
4.893098652927868e-001},{1.779213064394456e+004,-3.018218612541485e+002,
6.641796195081590e+000,4.910598995288961e-001},{1.643469380853188e+004,
-2.864932315962904e+002,6.484655115123119e+000,4.928072315903642e-001},
{1.518723269686234e+004,-2.720198428014330e+002,6.332109630922232e+000,
4.945518781712424e-001},{1.404034267449176e+004,-2.583499599306953e+002,
6.184003039444280e+000,4.962938558655389e-001},{1.298547086145065e+004,
-2.454352119567302e+002,6.040184677120072e+000,4.980331811692316e-001},
{1.201480477719220e+004,-2.332303254901078e+002,5.900509656039089e+000,
4.997698704822443e-001},{1.112125559868982e+004,-2.216929799079140e+002,
5.764838638887057e+000,5.015039401103889e-001},{1.029834063001183e+004,
-2.107835348750359e+002,5.633037579396170e+000,5.032354062672774e-001},
{9.540169613654271e+003,-2.004649068816667e+002,5.504977520065665e+000,
5.049642850761986e-001},{8.841350078353322e+003,-1.907023386990655e+002,
5.380534358885717e+000,5.066905925719676e-001},{8.196974604965422e+003,
-1.814632922354595e+002,5.259588665038832e+000,5.084143447027471e-001},
{7.602559262208660e+003,-1.727172694039041e+002,5.142025470829316e+000,
5.101355573318360e-001},{7.054006287042218e+003,-1.644356797777449e+002,
5.027734090331723e+000,5.118542462394324e-001},{6.547574282638359e+003,
-1.565917209939956e+002,4.916607944897258e+000,5.135704271243708e-001},
{6.079842281410332e+003,-1.491602529370824e+002,4.808544390805874e+000,
5.152841156058329e-001},{5.647681402804354e+003,-1.421176889479255e+002,
4.703444558999890e+000,5.169953272250335e-001},{5.248227929512284e+003,
-1.354418928357044e+002,4.601213200953995e+000,5.187040774468807e-001},
{4.878866346015187e+003,-1.291120924929621e+002,4.501758543631354e+000,
5.204103816616156e-001},{4.537191205039604e+003,-1.231087657275091e+002,
4.404992140311703e+000,5.221142551864300e-001},{4.221010702237321e+003,
-1.174135968361089e+002,4.310828751515844e+000,5.238157132670570e-001},
{3.928309050855646e+003,-1.120093625136355e+002,4.219186199256487e+000,
5.255147710793474e-001},{3.657237561904996e+003,-1.068798773450843e+002,
4.129985254777306e+000,5.272114437308226e-001},{3.406108390579024e+003,
-1.020099385885924e+002,4.043149522766261e+000,5.289057462622082e-001},
{3.173362528937843e+003,-9.738523071542197e+001,3.958605315724437e+000,
5.305976936489506e-001},{2.957575972851209e+003,-9.299230413876768e+001,
3.876281564344415e+000,5.322873008027116e-001},{2.757441473645700e+003,
-8.881850292721700e+001,3.796109702595772e+000,5.339745825728525e-001},
{2.571752175640579e+003,-8.485190527654152e+001,3.718023568465873e+000,
5.356595537478953e-001},{2.399405315832375e+003,-8.108130218799091e+001,
3.641959321507089e+000,5.373422290569717e-001},{2.239383750765094e+003,
-7.749613093565345e+001,3.567855339770726e+000,5.390226231712563e-001},
{2.090753731341121e+003,-7.408644637791140e+001,3.495652141216298e+000,
5.407007507053830e-001},{1.952653808168716e+003,-7.084287425064484e+001,
3.425292296888851e+000,5.423766262188504e-001},{1.824293969495761e+003,
-6.775658698526449e+001,3.356720357330965e+000,5.440502642174112e-001},
{1.704945388258175e+003,-6.481925944163990e+001,3.289882770290317e+000,
5.457216791544545e-001},{1.593935912714465e+003,-6.202304097497358e+001,
3.224727811476121e+000,5.473908854323666e-001},{1.490648848056936e+003,
-5.936053328755472e+001,3.161205517518115e+000,5.490578974038881e-001},
{1.394512592254002e+003,-5.682474952754494e+001,3.099267612151868e+000,
5.507227293734606e-001},{1.305002583866976e+003,-5.440910349376155e+001,
3.038867451236471e+000,5.523853955985542e-001},{1.221633497165447e+003,
-5.210737493440172e+001,2.979959954204727e+000,5.540459102909946e-001},
{1.143958328479689e+003,-4.991369373166751e+001,2.922501549923314e+000,
5.557042876182787e-001},{1.071563973096530e+003,-4.782251531429407e+001,
2.866450117837696e+000,5.573605417048770e-001},{1.004069097487647e+003,
-4.582860310204230e+001,2.811764935547721e+000,5.590146866335348e-001},
{9.411214959043084e+002,-4.392700984466779e+001,2.758406626564467e+000,
5.606667364465596e-001},{8.823958497130813e+002,-4.211306059866846e+001,
2.706337110626942e+000,5.623167051471074e-001},{8.275910331590102e+002,
-4.038233540368031e+001,2.655519555526163e+000,5.639646067004543e-001},
{7.764290444119635e+002,-3.873065665643446e+001,2.605918332887885e+000,
5.656104550352749e-001},{7.286523598314500e+002,-3.715407256916351e+001,
2.557498972533741e+000,5.672542640448997e-001},{6.840231188009741e+002,
-3.564884626586955e+001,2.510228121970509e+000,5.688960475885800e-001},
{6.423204961199782e+002,-3.421144032546041e+001,2.464073504009842e+000,
5.705358194927445e-001},{6.033409092767411e+002,-3.283850964957904e+001,
2.419003880919390e+000,5.721735935522480e-001},{5.668947663597646e+002,
-3.152688470052121e+001,2.374989013056672e+000,5.738093835316227e-001},
{5.328072442146844e+002,-3.027356738128294e+001,2.331999627743732e+000,
5.754432031663234e-001},{5.009158770478630e+002,-2.907571683947941e+001,
2.290007380866240e+000,5.770750661639714e-001},{4.710701060225499e+002,
-2.793064247095762e+001,2.248984825962424e+000,5.787049862055952e-001},
{4.431303458782849e+002,-2.683579521467626e+001,2.208905382049609e+000,
5.803329769468701e-001},{4.169669853608175e+002,-2.578875908229225e+001,
2.169743302771505e+000,5.819590520193594e-001},{3.924599612327291e+002,
-2.478724467824711e+001,2.131473647762967e+000,5.835832250317513e-001},
{3.694974326826228e+002,-2.382908020411502e+001,2.094072253087125e+000,
5.852055095710999e-001},{3.479758690185427e+002,-2.291220742271244e+001,
2.057515706247509e+000,5.868259192040625e-001},{3.277990349520803e+002,
-2.203467367031391e+001,2.021781318214516e+000,5.884444674781422e-001},
{3.088773751747854e+002,-2.119462597004226e+001,1.986847098785308e+000,
5.900611679229281e-001},{2.911276710946399e+002,-2.039030622074293e+001,
1.952691733147482e+000,5.916760340513410e-001},{2.744727583811454e+002,
-1.962004641525278e+001,1.919294558620836e+000,5.932890793608796e-001},
{2.588404421844505e+002,-1.888226154495557e+001,1.886635540737936e+000,
5.949003173348717e-001},{2.441640574222745e+002,-1.817544854701309e+001,
1.854695254828505e+000,5.965097614437249e-001},{2.303811979773995e+002,
-1.749817830600921e+001,1.823454861736828e+000,5.981174251461863e-001},
{2.174338229345144e+002,-1.684909368569987e+001,1.792896090563822e+000,
5.997233218906050e-001},{2.052680630074077e+002,-1.622690586536061e+001,
1.763001219089102e+000,6.013274651161965e-001},{1.938335084437520e+002,
-1.563038905829366e+001,1.733753053902124e+000,6.029298682543182e-001},
{1.830833151646721e+002,-1.505837875682940e+001,1.705134914485336e+000,
6.045305447297478e-001},{1.729738794162456e+002,-1.450976794132127e+001,
1.677130615134082e+000,6.061295079619681e-001},{1.634643534138694e+002,
-1.398350312812421e+001,1.649724447957303e+000,6.077267713664593e-001},
{1.545168100337110e+002,-1.347858315714356e+001,1.622901168714866e+000,
6.093223483560010e-001},{1.460958410201101e+002,-1.299405538735645e+001,
1.596645980019152e+000,6.109162523419806e-001},{1.381683087466291e+002,
-1.252901301082886e+001,1.570944516844422e+000,6.125084967357085e-001},
{1.307034321865140e+002,-1.208259371162506e+001,1.545782833329511e+000,
6.140990949497484e-001},{1.236723317608070e+002,-1.165397599514970e+001,
1.521147387543556e+000,6.156880603992511e-001},{1.170481387221509e+002,
-1.124237826774210e+001,1.497025029811643e+000,6.172754065033039e-001},
{1.108056868876664e+002,-1.084705592255838e+001,1.473402988869848e+000,
6.188611466862878e-001},{1.049215003603412e+002,-1.046729998779377e+001,
1.450268860366462e+000,6.204452943792466e-001},{9.937360667485126e+001,
-1.010243494098661e+001,1.427610594553690e+000,6.220278630212706e-001},
{9.414149562320388e+001,-9.751817308176173e+000,1.405416485272351e+000,
6.236088660608912e-001},{8.920594267310152e+001,-9.414833664957618e+000,
1.383675158529162e+000,6.251883169574887e-001},{8.454903027300053e+001,
-9.090899637706979e+000,1.362375562499242e+000,6.267662291827165e-001},
{8.015389759910782e+001,-8.779457645122895e+000,1.341506956391433e+000,
6.283426162219348e-001},{7.600486056876090e+001,-8.479976561864010e+000,
1.321058901855560e+000,6.299174915756673e-001},{7.208717369456534e+001,
-8.191949484083496e+000,1.301021252132937e+000,6.314908687610693e-001},
{6.838705121588522e+001,-7.914893045725918e+000,1.281384143757086e+000,
6.330627613134094e-001},{6.489158353825010e+001,-7.648346098298011e+000,
1.262137987358314e+000,6.346331827875775e-001},{6.158865359007402e+001,
-7.391868500456181e+000,1.243273459030718e+000,6.362021467596020e-001},
{5.846693732764923e+001,-7.145040366143715e+000,1.224781492411206e+000,
6.377696668281924e-001},{5.551578714608965e+001,-6.907460700958014e+000,
1.206653270182385e+000,6.393357566162956e-001},{5.272524836667247e+001,
-6.678746838311933e+000,1.188880216903054e+000,6.409004297726797e-001},
{5.008596334489375e+001,-6.458533233599964e+000,1.171453991082903e+000,
6.424636999735307e-001},{4.758916027537743e+001,-6.246470825439416e+000,
1.154366478347685e+000,6.440255809240784e-001},{4.522661777454572e+001,
-6.042226222837200e+000,1.137609784387375e+000,6.455860863602415e-001},
{4.299059529145632e+001,-5.845480767898403e+000,1.121176228050880e+000,
6.471452300502958e-001},{4.087385651641105e+001,-5.655930154963713e+000,
1.105058335319868e+000,6.487030257965678e-001},{3.886958211331500e+001,
-5.473283382598018e+000,1.089248832461124e+000,6.502594874371552e-001},
{3.697137968566206e+001,-5.297262376818222e+000,1.073740640458812e+000,
6.518146288476706e-001},{3.517323133258112e+001,-5.127601210969972e+000,
1.058526868867246e+000,6.533684639430138e-001},{3.346950230781325e+001,
-4.964045728469465e+000,1.043600810436168e+000,6.549210066791725e-001},
{3.185487406683293e+001,-4.806352703624465e+000,1.028955935203351e+000,
6.564722710550539e-001},{3.032435829488426e+001,-4.654289580618860e+000,
1.014585885688922e+000,6.580222711143396e-001},{2.887326431964138e+001,
-4.507633864545065e+000,1.000484471508354e+000,6.595710209473816e-001},
{2.749717316692134e+001,-4.366172615618259e+000,9.866456644267092e-001,
6.611185346931201e-001},{2.619193414367822e+001,-4.229702099346732e+000,
9.730635937337092e-001,6.626648265410450e-001},{2.495363835111331e+001,
-4.098027281300438e+000,9.597325414590835e-001,6.642099107331829e-001},
{2.377860550726019e+001,-3.970961446183043e+000,9.466469379706444e-001,
6.657538015661222e-001},{2.266337233016693e+001,-3.848325831387194e+000,
9.338013576655492e-001,6.672965133930829e-001},{2.160467672777616e+001,
-3.729949242177387e+000,9.211905147420358e-001,6.688380606260099e-001},
{2.059944597797794e+001,-3.615667710660913e+000,9.088092591623421e-001,
6.703784577377188e-001},{1.964478435281932e+001,-3.505324163030878e+000,
8.966525727283551e-001,6.719177192640737e-001},{1.873796922977412e+001,
-3.398768146844634e+000,8.847155653316714e-001,6.734558598062153e-001},
{1.787642149968706e+001,-3.295855398505439e+000,8.729934710857658e-001,
6.749928940328205e-001},{1.705772475648577e+001,-3.196447779163808e+000,
8.614816451578189e-001,6.765288366824221e-001},{1.627958838837261e+001,
-3.100412774885759e+000,8.501755598619032e-001,6.780637025657604e-001},
{1.553985861020304e+001,-3.007623409690961e+000,8.390708017061733e-001,
6.795975065681920e-001},{1.483650268463432e+001,-2.917957920404044e+000,
8.281630679467027e-001,6.811302636521479e-001},{1.416760134746515e+001,
-2.831299527564026e+000,8.174481635066645e-001,6.826619888596361e-001},
{1.353134120238906e+001,-2.747536216213803e+000,8.069219979743360e-001,
6.841926973148044e-001},{1.292601643446513e+001,-2.666560582542707e+000,
7.965805827418926e-001,6.857224042265560e-001},{1.235001093430196e+001,
-2.588269530043726e+000,7.864200279596690e-001,6.872511248912188e-001},
{1.180180110648852e+001,-2.512564159266709e+000,7.764365399883577e-001,
6.887788746952784e-001},{1.127994572214277e+001,-2.439349541127092e+000,
7.666264186212466e-001,6.903056691181669e-001},{1.078308769186625e+001,
-2.368534595338057e+000,7.569860545909910e-001,6.918315237351190e-001},
{1.030993774691330e+001,-2.300031826875883e+000,7.475119268835549e-001,
6.933564542200881e-001},{9.859284768878347e+000,-2.233757299471081e+000,
7.382006005926595e-001,6.948804763487342e-001},{9.429977302790977e+000,
-2.169630350046961e+000,7.290487242579775e-001,6.964036060014773e-001},
{9.020930833273008e+000,-2.107573555178198e+000,7.200530278593177e-001,
6.979258591666266e-001},{8.631118936097311e+000,-2.047512534366139e+000,
7.112103204288415e-001,6.994472519435792e-001},{8.259568678315045e+000,
-1.989375816183700e+000,7.025174879430843e-001,7.009678005461024e-001},
{7.905362523492994e+000,-1.933094759596863e+000,6.939714913370646e-001,
7.024875213056877e-001},{7.567629408573509e+000,-1.878603376629717e+000,
6.855693643504452e-001,7.040064306749948e-001},{7.245546619771394e+000,
-1.825838268287014e+000,6.773082117040159e-001,7.055245452313755e-001},
{6.938335727792247e+000,-1.774738495351617e+000,6.691852071288535e-001,
7.070418816804905e-001},{6.645258809195010e+000,-1.725245462939452e+000,
6.611975915196259e-001,7.085584568600147e-001},{6.365614540873520e+000,
-1.677302816738685e+000,6.533426711767790e-001,7.100742877434374e-001},
{6.098745266050226e+000,-1.630856430792350e+000,6.456178162181659e-001,
7.115893914439659e-001},{5.844020409205720e+000,-1.585854168116521e+000,
6.380204585489425e-001,7.131037852185249e-001},{5.600848065869145e+000,
-1.542245944546190e+000,6.305480906509974e-001,7.146174864718647e-001},
{5.368663822551122e+000,-1.499983538515395e+000,6.231982636835136e-001,
7.161305127607802e-001},{5.146934075674603e+000,-1.459020574408473e+000,
6.159685861501743e-001,7.176428817984416e-001},{4.935153779849062e+000,
-1.419312432471077e+000,6.088567223360871e-001,7.191546114588450e-001},
{4.732841752485663e+000,-1.380816146638106e+000,6.018603908156497e-001,
7.206657197813855e-001},{4.539543342955549e+000,-1.343490383791056e+000,
5.949773631865258e-001,7.221762249755580e-001},{4.354826796805688e+000,
-1.307295347831567e+000,5.882054626053450e-001,7.236861454257876e-001},
{4.178282674581729e+000,-1.272192725811762e+000,5.815425625070392e-001,
7.251954996964002e-001},{4.009521634668678e+000,-1.238145618364219e+000,
5.749865853101563e-001,7.267043065367352e-001},{3.848175025968628e+000,
-1.205118501925514e+000,5.685355012244482e-001,7.282125848864084e-001},
{3.693892899386763e+000,-1.173077159790875e+000,5.621873269947402e-001,
7.297203538807227e-001},{3.546341740891187e+000,-1.141988619090690e+000,
5.559401247257912e-001,7.312276328562487e-001},{3.405206929436500e+000,
-1.111821138378985e+000,5.497920008403084e-001,7.327344413565636e-001},
{3.270187120186245e+000,-1.082544103575234e+000,5.437411048209569e-001,
7.342407991381688e-001},{3.140998924757143e+000,-1.054128048587643e+000,
5.377856283364672e-001,7.357467261765852e-001},{3.017369744506951e+000,
-1.026544533480591e+000,5.319238039757309e-001,7.372522426726416e-001},
{2.899044153352361e+000,-9.997661913653924e-001,5.261539045099664e-001,
7.387573690589510e-001},{2.785775964091354e+000,-9.737665947672607e-001,
5.204742416212094e-001,7.402621260065991e-001},{2.677333888058895e+000,
-9.485203014378125e-001,5.148831652356617e-001,7.417665344320410e-001},
{2.573496060829918e+000,-9.240027508565234e-001,5.093790623710802e-001,
7.432706155042201e-001},{2.474052809499689e+000,-9.001902757330506e-001,
5.039603564117439e-001,7.447743906519216e-001},{2.378804120443931e+000,
-8.770600388487887e-001,4.986255061308111e-001,7.462778815713633e-001},
{2.287559402475405e+000,-8.545900081840703e-001,4.933730048957201e-001,
7.477811102340413e-001},{2.200138517682294e+000,-8.327589429822758e-001,
4.882013798861766e-001,7.492840988948364e-001},{2.116368371443866e+000,
-8.115463254255343e-001,4.831091911879579e-001,7.507868701004001e-001},
{2.036086012815135e+000,-7.909323809234898e-001,4.780950311870275e-001,
7.522894466978191e-001},{1.959134838570954e+000,-7.708980017762587e-001,
4.731575236501228e-001,7.537918518435930e-001},{1.885366456932190e+000,
-7.514247566493858e-001,4.682953231458762e-001,7.552941090129114e-001},
{1.814639954656823e+000,-7.324948551533699e-001,4.635071142767641e-001,
7.567962420092698e-001},{1.746820019907857e+000,-7.140911050589521e-001,
4.587916109601810e-001,7.582982749744263e-001},{1.681779029320273e+000,
-6.961969236875881e-001,4.541475558846255e-001,7.598002323987182e-001},
{1.619394453544771e+000,-6.787962807595844e-001,4.495737197402506e-001,
7.613021391317515e-001},{1.559549975604258e+000,-6.618737004185191e-001,
4.450689006991003e-001,7.628040203934934e-001},{1.502134836632424e+000,
-6.454142328694089e-001,4.406319237709913e-001,7.643059017857750e-001},
{1.447043171573348e+000,-6.294034296210121e-001,4.362616402141224e-001,
7.658078093042219e-001},{1.394174498370593e+000,-6.138273354867607e-001,
4.319569270116660e-001,7.673097693506550e-001},{1.343432420370009e+000,
-5.986724547846682e-001,4.277166862748373e-001,7.688118087459539e-001},
{1.294725732732976e+000,-5.839257544439922e-001,4.235398447916798e-001,
7.703139547434321e-001},{1.247966881438976e+000,-5.695746253865943e-001,
4.194253534307958e-001,7.718162350427407e-001},{1.203072849158344e+000,
-5.556068845041990e-001,4.153721867289367e-001,7.733186778043174e-001},
{1.159963947754655e+000,-5.420107427847227e-001,4.113793423526519e-001,
7.748213116644277e-001},{1.118564587734494e+000,-5.287748063807098e-001,
4.074458407063869e-001,7.763241657508161e-001},{1.078802507769043e+000,
-5.158880509921915e-001,4.035707244384177e-001,7.778272696990009e-001},
{1.040608654311761e+000,-5.033398098623492e-001,3.997530580345837e-001,
7.793306536692566e-001},{1.003917267676832e+000,-4.911197646737863e-001,
3.959919274268831e-001,7.808343483642983e-001},{9.686655604482745e-001,
-4.792179290087323e-001,3.922864395821423e-001,7.823383850477332e-001},
{9.347935275729121e-001,-4.676246357897185e-001,3.886357221304772e-001,
7.838427955633055e-001},{9.022439775911922e-001,-4.563305281577600e-001,
3.850389230167903e-001,7.853476123549728e-001},{8.709622750416257e-001,
-4.453265454505745e-001,3.814952101441460e-001,7.868528684878805e-001},
{8.408962141922037e-001,-4.346039124857111e-001,3.780037710512866e-001,
7.883585976702583e-001},{8.119960630426542e-001,-4.241541312368614e-001,
3.745638126070998e-001,7.898648342763168e-001},{7.842141445487288e-001,
-4.139689655197202e-001,3.711745606968078e-001,7.913716133701791e-001},
{7.575051094416114e-001,-4.040404377634261e-001,3.678352599695338e-001,
7.928789707309243e-001},{7.318255766054801e-001,-3.943608140101956e-001,
3.645451735466376e-001,7.943869428787894e-001},{7.071339973871145e-001,
-3.849225950336849e-001,3.613035827844493e-001,7.958955671026191e-001},
{6.833909241888801e-001,-3.757185132023703e-001,3.581097870611176e-001,
7.974048814886176e-001},{6.605584479088350e-001,-3.667415147704448e-001,
3.549631035218736e-001,7.989149249504874e-001},{6.386004414563145e-001,
-3.579847585634845e-001,3.518628669202130e-001,8.004257372610424e-001},
{6.174824768960409e-001,-3.494416066345683e-001,3.488084294219762e-001,
8.019373590853794e-001},{5.971715000221117e-001,-3.411056120245748e-001,
3.457991604274862e-001,8.034498320157049e-001},{5.776360443240841e-001,
-3.329705170046958e-001,3.428344464558457e-001,8.049631986079188e-001},
{5.588460502815952e-001,-3.250302427624316e-001,3.399136909984816e-001,
8.064775024200631e-001},{5.407727810343643e-001,-3.172788818833830e-001,
3.370363144128132e-001,8.079927880527609e-001},{5.233887544226954e-001,
-3.097106915065160e-001,3.342017538376066e-001,8.095091011917578e-001},
{5.066677875548836e-001,-3.023200884505798e-001,3.314094631326712e-001,
8.110264886527152e-001},{4.905848756317561e-001,-2.951016406887826e-001,
3.286589128198704e-001,8.125449984283928e-001},{4.751160769385945e-001,
-2.880500600179367e-001,3.259495900597049e-001,8.140646797383735e-001},
{4.602386051186608e-001,-2.811601986672496e-001,3.232809986635589e-001,
8.155855830815082e-001},{4.459307014087881e-001,-2.744270408946369e-001,
3.206526591012421e-001,8.171077602912539e-001},{4.321715938551395e-001,
-2.678456971393555e-001,3.180641085520652e-001,8.186312645941041e-001},
{4.189415011741373e-001,-2.614113988398635e-001,3.155149009832065e-001,
8.201561506713140e-001},{4.062214913409450e-001,-2.551194905970136e-001,
3.130046072430969e-001,8.216824747241585e-001},{3.939936339725952e-001,
-2.489654281954533e-001,3.105328152103881e-001,8.232102945429569e-001},
{3.822408013278497e-001,-2.429447687817379e-001,3.080991299323931e-001,
8.247396695801337e-001},{3.709466702963435e-001,-2.370531663389923e-001,
3.057031738328623e-001,8.262706610276031e-001},{3.600957583030854e-001,
-2.312863674323255e-001,3.033445869493500e-001,8.278033318987772e-001},
{3.496733671825422e-001,-2.256402043990980e-001,3.010230271918857e-001,
8.293377471155482e-001},{3.396655214813151e-001,-2.201105889016499e-001,
2.987381706501068e-001,8.308739736005932e-001},{3.300589897857049e-001,
-2.146935073828444e-001,2.964897119537793e-001,8.324120803754020e-001},
{3.208412578073947e-001,-2.093850149119442e-001,2.942773646665175e-001,
8.339521386644649e-001},{3.120005459911270e-001,-2.041812297929947e-001,
2.921008617347819e-001,8.354942220060717e-001},{3.035256503638822e-001,
-1.990783246823497e-001,2.899599559785713e-001,8.370384063702406e-001},
{2.954061908395492e-001,-1.940725263380565e-001,2.878544206816350e-001,
8.385847702843330e-001},{2.876323002050054e-001,-1.891601020496199e-001,
2.857840501721114e-001,8.401333949669464e-001},{2.801948834019232e-001,
-1.843373598135978e-001,2.837486605559522e-001,8.416843644707666e-001},
{2.730854228772116e-001,-1.796006366227388e-001,2.817480904497046e-001,
8.432377658350839e-001},{2.662960891242228e-001,-1.749462945024303e-001,
2.797822018500715e-001,8.447936892487767e-001},{2.598196879188098e-001,
-1.703707115781422e-001,2.778508810576263e-001,8.463522282246335e-001},
{2.536496867746277e-001,-1.658702750316326e-001,2.759540397160137e-001,
8.479134797859673e-001},{2.477802128823877e-001,-1.614413725921469e-001,
2.740916159487959e-001,8.494775446665763e-001},{2.421839309050305e-001,
-1.570799986898184e-001,2.722635741293099e-001,8.510445275252113e-001},
{2.368786468237419e-001,-1.527827697979022e-001,2.704699099458725e-001,
8.526145371758300e-001},{2.318809810687322e-001,-1.485463921802132e-001,
2.687106490539978e-001,8.541876868350633e-001},{2.272033004004703e-001,
-1.443013471384416e-001,2.669578014924510e-001,8.557900348291792e-001},
{2.228720273934477e-001,-1.401715084130047e-001,2.652653339510075e-001,
8.573725333555661e-001},{2.188737474564099e-001,-1.361583230500321e-001,
2.636349618021100e-001,8.589321368338225e-001},{2.151938108428024e-001,
-1.322546419048931e-001,2.620646877232015e-001,8.604692374815954e-001},
{2.118188268906598e-001,-1.284537034390536e-001,2.605526072877775e-001,
8.619842196559904e-001},{2.087366333201549e-001,-1.247491073246053e-001,
2.590969039651040e-001,8.634774600465008e-001},{2.059361625352860e-001,
-1.211347872081701e-001,2.576958444119279e-001,8.649493278615940e-001},
{2.034074149378808e-001,-1.176049878458108e-001,2.563477740702578e-001,
8.664001850093022e-001},{2.011413298783185e-001,-1.141542415902366e-001,
2.550511130233508e-001,8.678303862720165e-001},{1.991298125068586e-001,
-1.107773498429863e-001,2.538043521210758e-001,8.692402794757654e-001},
{1.973655647896050e-001,-1.074693611653381e-001,2.526060493134096e-001,
8.706302056542128e-001},{1.958421213759138e-001,-1.042255560507937e-001,
2.514548262377977e-001,8.720004992075637e-001},{1.945537958776381e-001,
-1.010414298773090e-001,2.503493649859753e-001,8.733514880566440e-001},
{1.934955970749939e-001,-9.791267666147004e-002,2.492884050660330e-001,
8.746834937923431e-001},{1.926632043856072e-001,-9.483517540616522e-002,
2.482707405530666e-001,8.759968318205693e-001},{1.920530013650005e-001,
-9.180497812140505e-002,2.472952174051379e-001,8.772918115029676e-001},
{1.916619394589189e-001,-8.881829486636758e-002,2.463607309170215e-001,
8.785687362935541e-001},{1.914875823983919e-001,-8.587148427990259e-002,
2.454662233501901e-001,8.798279038713941e-001},{1.915280993815957e-001,
-8.296104268947961e-002,2.446106816792321e-001,8.810696062695512e-001},
{1.917821599981230e-001,-8.008359226919655e-002,2.437931354640896e-001,
8.822941300004101e-001},{1.922489958278585e-001,-7.723587356759790e-002,
2.430126548622808e-001,8.835017561775065e-001},{1.929283914742223e-001,
-7.441473634943605e-002,2.422683487355767e-001,8.846927606340636e-001},
{1.938205682251700e-001,-7.161712923792232e-002,2.415593628605291e-001,
8.858674140382891e-001},{1.949263025484482e-001,-6.884009487087414e-002,
2.408848782619473e-001,8.870259820056076e-001},{1.962468368843349e-001,
-6.608076049330205e-002,2.402441096090453e-001,8.881687252078944e-001},
{1.977839043493731e-001,-6.333633184166496e-002,2.396363037192911e-001,
8.892958994798933e-001},{1.995397017281764e-001,-6.060408601603758e-002,
2.390607381333165e-001,8.904077559228296e-001},{2.015168884164766e-001,
-5.788136574944486e-002,2.385167197765595e-001,8.915045410054051e-001},
{2.037186493235506e-001,-5.516557435579349e-002,2.380035836869622e-001,
8.925864966622013e-001},{2.061485578928091e-001,-5.245416769018642e-002,
2.375206918021687e-001,8.936538603896150e-001},{2.088107303179244e-001,
-4.974465205292488e-002,2.370674318361935e-001,8.947068653393980e-001},
{2.117096846999846e-001,-4.703457622106781e-002,2.366432161836148e-001,
8.957457404098935e-001},{2.148505149907584e-001,-4.432153007089228e-002,
2.362474809142938e-001,8.967707103350046e-001},{2.182386749730879e-001,
-4.160313569771003e-002,2.358796847823731e-001,8.977819957710477e-001},
{2.218802015852066e-001,-3.887704757707568e-002,2.355393083306903e-001,
8.987798133814337e-001},{2.257816115052553e-001,-3.614094572355721e-002,
2.352258530014959e-001,8.997643759193978e-001},{2.299498407093479e-001,
-3.339253121132149e-002,2.349388403129885e-001,9.007358923086878e-001},
{2.343924725771772e-001,-3.062952596424444e-002,2.346778110852589e-001,
9.016945677223748e-001},{2.391175338601718e-001,-2.784966495255222e-002,
2.344423246756947e-001,9.026406036597976e-001},{2.441335689704040e-001,
-2.505069440041885e-002,2.342319582824293e-001,9.035741980217020e-001},
{2.494466737102023e-001,-2.223033411770663e-002,2.340463061820594e-001,
9.044955451836203e-001},{2.550861106065699e-001,-1.938660447233538e-002,
2.338849799791759e-001,9.054048360675704e-001},{2.610094533269595e-001,
-1.651647391820168e-002,2.337476039501077e-001,9.063022582120580e-001},
{2.672873914645409e-001,-1.361879651128243e-002,2.336338247023430e-001,
9.071879958403298e-001},{2.738106591896983e-001,-1.068971575200308e-002,
2.335432928777375e-001,9.080622299280794e-001},{2.804606750369759e-001,
-7.726659110718780e-003,2.334756804033219e-001,9.089251382668985e-001},
{2.904290562079965e-001,-4.764098488806071e-003,2.334307556704802e-001,
9.097768955293063e-001},{2.933750710558286e-001,-1.656982949129257e-003,
2.334078134409505e-001,9.106176733264468e-001},{3.050168191487940e-001,
1.350589639466686e-003,2.334074430077944e-001,9.114476402584719e-001},{
3.126013688318755e-001,4.484047200702626e-003,2.334283798227455e-001,
9.122669621103098e-001},{3.215543582266510e-001,7.641858728022285e-003,
2.334709180402272e-001,9.130758015729857e-001},{3.309493854379925e-001,
1.084606285102256e-002,2.335346788693272e-001,9.138743186727137e-001},{
3.408036404253549e-001,1.409903898921036e-002,2.336194205790645e-001,
9.146626706292474e-001},{3.511350954219710e-001,1.740319488595970e-002,
2.337249122941095e-001,9.154410119512660e-001},{3.619625548115306e-001,
2.076096799975756e-002,2.338509336517329e-001,9.162094944895526e-001},{
3.733053046371622e-001,2.417483133717817e-002,2.339972744575906e-001,
9.169682674889458e-001},{3.851835101117528e-001,2.764728816995566e-002,
2.341637343834541e-001,9.177174776391662e-001},{3.976175439013757e-001,
3.118088055196995e-002,2.343501226196413e-001,9.184572691244551e-001},{
4.109386287917567e-001,3.477533291071943e-002,2.345562634056419e-001,
9.191877836721225e-001},{4.252825118499027e-001,3.843116371032156e-002,
2.347819891940276e-001,9.199091605999706e-001},{4.408049129756115e-001,
4.214792375866371e-002,2.350271518933623e-001,9.206215368626223e-001},{
4.576846245311496e-001,4.630547834114645e-002,2.353172753172934e-001,
9.213904696290003e-001},{4.784513590715939e-001,5.060507038628476e-002,
2.356363599220260e-001,9.221630514821407e-001},{4.920827258189274e-001,
5.519541297814200e-002,2.359854289691031e-001,9.229393998641423e-001},{
5.178937679266293e-001,5.981545467360165e-002,2.363668043436880e-001,
9.237196381740548e-001},{5.391049374883102e-001,6.475414966613934e-002,
2.367809391058319e-001,9.245038963244220e-001},{5.634449341225508e-001,
6.989029053033601e-002,2.372302039790004e-001,9.252923108029000e-001},{
5.897153325658239e-001,7.526860985601419e-002,2.377162421944522e-001,
9.260850256994325e-001},{6.181112209433559e-001,8.090819466323959e-002,
2.382410055571628e-001,9.268821929717398e-001},{6.488525677875635e-001,
8.683004454631531e-002,2.388066021212003e-001,9.276839731306028e-001},{
6.821878414375597e-001,9.305731296729698e-002,2.394153123100448e-001,
9.284905359221661e-001},{7.183985201026177e-001,9.961558066647835e-002,
2.400696071150384e-001,9.293020610812173e-001},{7.578044037403948e-001,
1.065331716202092e-001,2.407721686690386e-001,9.301187391645777e-001},{
8.007698251219902e-001,1.138415194678852e-001,2.415259135709149e-001,
9.309407724751908e-001},{8.477112195704598e-001,1.215755901968623e-001,
2.423340194130125e-001,9.317683760891560e-001},{8.991059063712774e-001,
1.297743778800449e-001,2.431999550154734e-001,9.326017789999588e-001},{
9.555029755126038e-001,1.384814779165823e-001,2.441275150268687e-001,
9.334412253964867e-001},{1.017535937344632e+000,1.477457654552941e-001,
2.451208595937071e-001,9.342869760943128e-001},{1.085938205408345e+000,
1.576221875223210e-001,2.461845600471582e-001,9.351393101430466e-001},{
1.161561582275224e+000,1.681727002303767e-001,2.473236516456673e-001,
9.359985266367291e-001},{1.245398446129048e+000,1.794673774990541e-001,
2.485436946915644e-001,9.368649467591372e-001},{1.338608148309784e+000,
1.915857290298620e-001,2.498508455805677e-001,9.377389161019090e-001},{
1.442548258110234e+000,2.046182699257000e-001,2.512519396760876e-001,
9.386208073007041e-001},{1.563550207326141e+000,2.186179243163746e-001,
2.527547076453380e-001,9.395110230435863e-001},{1.684329410181329e+000,
2.339579695432694e-001,2.543669871107666e-001,9.404099995167338e-001},{
1.840290137060555e+000,2.502660355294551e-001,2.561000525033712e-001,
9.413182103660764e-001},{2.005174237802519e+000,2.682089305034622e-001,
2.579624203753087e-001,9.422361716947373e-001},{2.195430692141073e+000,
2.877169741014608e-001,2.599675919987584e-001,9.431644460877734e-001},{
2.412904324653398e+000,3.090556749171306e-001,2.621289837025392e-001,
9.441036504515273e-001},{2.662767304254523e+000,3.324773127469931e-001,
2.644622565363322e-001,9.450544623460853e-001},{2.951438780835094e+000,
3.582796665096927e-001,2.669853329547631e-001,9.460176287724212e-001},{
3.286954018925421e+000,3.868162802973410e-001,2.697188268971239e-001,
9.469939763450140e-001},{3.679465741376691e+000,4.185095197683239e-001,
2.726865770992523e-001,9.479844234324657e-001},{4.141931236862925e+000,
4.538673480408977e-001,2.759163138940035e-001,9.489899947466461e-001},{
4.691069298400168e+000,4.935050283817702e-001,2.794405007063843e-001,
9.500118390046373e-001},{5.348707073258958e+000,5.381735273260513e-001,
2.832974063174888e-001,9.510512504832676e-001},{6.143705486256990e+000,
5.887970106525733e-001,2.875324861260081e-001,9.521096955549476e-001},{
7.114743725479455e+000,6.465229722160121e-001,2.922001819000289e-001,
9.531888456688770e-001},{8.321324877449055e+000,7.127119364606617e-001,
2.973664920699020e-001,9.542906187727378e-001},{9.814008057546337e+000,
7.895125341007474e-001,3.031108408227720e-001,9.554172319331690e-001},{
1.173472061857719e+001,8.786331494420789e-001,3.095347921261885e-001,
9.565712690270144e-001},{1.420449343150175e+001,9.836535262794647e-001,
3.167598605019126e-001,9.577557700959503e-001},{1.746385659351800e+001,
1.108209112465122e+000,3.249454080118249e-001,9.589743460224295e-001},{
2.185981459948901e+001,1.257510034299458e+000,3.342947309034364e-001,
9.602313398961775e-001},{2.794948473262666e+001,1.438394626077943e+000,
3.450759860826211e-001,9.615320435137206e-001},{3.665958868667153e+001,
1.659932031051734e+000,3.576504808355101e-001,9.628830054950714e-001},{
4.961877309657803e+001,1.933871190036903e+000,3.725190487198159e-001,
9.642924773126242e-001},{6.984375504183272e+001,2.274822138787811e+000,
3.903995922147242e-001,9.657710805637312e-001},{1.034774217208668e+002,
2.696074492740470e+000,4.123731761320471e-001,9.673328436111374e-001},{
1.581230920983324e+002,3.266020040491545e+000,4.399786317612097e-001,
9.689968887258295e-001},{2.515136935955693e+002,4.116442075807741e+000,
4.756363207390761e-001,9.707903327720178e-001},{4.255666011618887e+002,
5.543864685060169e+000,5.231660521339230e-001,9.727536601397832e-001},{
7.825530244524709e+002,6.095169952013788e+000,5.741651534308233e-001,
9.743751414991224e-001},{1.601387467228535e+003,5.526394469524922e+000,
6.475446574462375e-001,9.761711567563309e-001},{3.517379521473430e+003,
4.655838112548601e+000,7.599439282112659e-001,9.783035737380645e-001},{
7.962846678376361e+003,9.518793744286704e+000,9.225514220968945e-001,
9.807363487766135e-001},{1.824488327643979e+004,2.078256392728106e+001,
1.131128321260709e+000,9.829773592443036e-001},{4.540306810221719e+004,
1.488976251891372e+001,1.387654000750968e+000,9.848111708264992e-001},{
1.145958554994318e+005,-3.053821008062807e+001,1.732038158743400e+000,
9.864872284392217e-001},{2.714454865411694e+005,-3.766348045575876e+001,
2.199850765561659e+000,9.882925910565035e-001},{6.114567935601252e+005,
3.983023186009633e+002,2.891002115453413e+000,9.904976309221367e-001},{
1.241850100485509e+006,7.637348298339904e+002,3.505557353710815e+000,
9.917024335783234e-001},{2.901091663911621e+006,2.287151249154257e+002,
3.996356201581334e+000,9.922645331286384e-001},{8.629777329944847e+006,
-1.301634709362246e+003,5.052771746981934e+000,9.932357014649955e-001},
{2.912091392721209e+007,-6.531467250818030e+003,6.921517889213511e+000,
9.942966215510268e-001},{9.412813865309173e+007,-5.286393541194419e+003,
8.979056034617720e+000,9.957010756859428e-001},{2.036070618782550e+008,
1.028469165095266e+004,1.130107943827922e+001,9.966743300764792e-001},{
1.674526211291653e+012,-7.945254783461587e+007,9.414997405411956e+002,
9.973127499065179e-001}};
constant Real[Ninterval, 4] svcoef={{-1.167161242280822e+010,
1.878696788040639e+006,-3.414627808635271e+002,1.257192752866231e+000},
{-1.035354888344887e+010,1.770211704883063e+006,-3.314921184815092e+002,
1.256278981521677e+000},{-9.010871046855169e+009,1.675234821593873e+006,
-3.233186928839511e+002,1.255515159251215e+000},{-7.670087323896805e+009,
1.503104694936961e+006,-3.056454829469166e+002,1.253788981093666e+000},
{-6.528525227742667e+009,1.348617412883818e+006,-2.889263517656612e+002,
1.252068489141656e+000},{-5.556819130397623e+009,1.209977756821469e+006,
-2.731107664395464e+002,1.250353786912934e+000},{-4.729570822211771e+009,
1.085555117462545e+006,-2.581498340050509e+002,1.248644873308041e+000},
{-4.025383319196040e+009,9.738978630494837e+005,-2.439979849174128e+002,
1.246941821048949e+000},{-3.425938223747980e+009,8.736974103745150e+005,
-2.306117633794419e+002,1.245244670239726e+000},{-2.915696321437560e+009,
7.837826255347068e+005,-2.179503198145804e+002,1.243553497923841e+000},
{-2.481383208327286e+009,7.030988445381357e+005,-2.059747132443750e+002,
1.241868349123961e+000},{-2.111686390084153e+009,6.307004543248878e+005,
-1.946483220668824e+002,1.240189304980033e+000},{-1.797034775339657e+009,
5.657386555897944e+005,-1.839360670319048e+002,1.238516382333624e+000},
{-1.529214800743476e+009,5.074499659892993e+005,-1.738049564593241e+002,
1.236849634718179e+000},{-1.301273763706718e+009,4.551518279503796e+005,
-1.642239738649408e+002,1.235189150544434e+000},{-1.107273660839951e+009,
4.082289549017351e+005,-1.551633835517684e+002,1.233534955827648e+000},
{-9.421731741085697e+008,3.661311815312429e+005,-1.465954002475946e+002,
1.231887143503433e+000},{-8.023146343545597e+008,3.283866390101237e+005,
-1.384935880133614e+002,1.230245745364984e+000},{-6.852307594168044e+008,
2.946092675025202e+005,-1.308334802778386e+002,1.228610827813656e+000},
{-5.870901801301618e+008,2.644005082934081e+005,-1.235917413237229e+002,
1.226982459618363e+000},{-5.047068181055782e+008,2.378107583024218e+005,
-1.168778656810235e+002,1.225392995014713e+000},{-4.351080450261749e+008,
2.149782115590958e+005,-1.108542675702452e+002,1.223894955882774e+000},
{-3.754631816409877e+008,1.944610872742684e+005,-1.051729507319718e+002,
1.222412562340188e+000},{-3.243003876591392e+008,1.760126494519494e+005,
-9.981271620297964e+001,1.220945658781368e+000},{-2.803704024187839e+008,
1.594135405147079e+005,-9.475377996554323e+001,1.219494091303989e+000},
{-2.426161580886689e+008,1.444689114102572e+005,-8.997767687518686e+001,
1.218057707682420e+000},{-2.101376500670390e+008,1.310052300243061e+005,
-8.546716076385087e+001,1.216636357341712e+000},{-1.821729409586426e+008,
1.188682298364962e+005,-8.120612512230242e+001,1.215229891332141e+000},
{-1.580713395011833e+008,1.079202781593172e+005,-7.717951465716868e+001,
1.213838162304302e+000},{-1.372810899764895e+008,9.803887891483332e+004,
-7.337325952167046e+001,1.212461024484717e+000},{-1.193305568497935e+008,
8.911463290966404e+004,-6.977419934441511e+001,1.211098333651978e+000},
{-1.038177842631264e+008,8.104994158345387e+004,-6.637002475122108e+001,
1.209749947113391e+000},{-9.040040036718562e+007,7.375769881825958e+004,
-6.314921765813308e+001,1.208415723682116e+000},{-7.878443856624676e+007,
6.715992689454205e+004,-6.010099316854539e+001,1.207095523654803e+000},
{-6.871974414947894e+007,6.118702847513706e+004,-5.721525561719147e+001,
1.205789208789701e+000},{-5.999133752771001e+007,5.577663404305128e+004,
-5.448254540510249e+001,1.204496642285233e+000},{-5.241543869142986e+007,
5.087295055300280e+004,-5.189400007463385e+001,1.203217688759031e+000},
{-4.583415581126005e+007,4.642596046130997e+004,-4.944131149429202e+001,
1.201952214227427e+000},{-4.011228675603470e+007,4.239086070618492e+004,
-4.711669043018321e+001,1.200700086085366e+000},{-3.513311357163611e+007,
3.872739999770453e+004,-4.491282933447061e+001,1.199461173086765e+000},
{-3.079702502223688e+007,3.539954399663577e+004,-4.282287446858340e+001,
1.198235345325283e+000},{-2.701759418906320e+007,3.237483582224888e+004,
-4.084039003202591e+001,1.197022474215511e+000},{-2.372076973145581e+007,
2.962417023636633e+004,-3.895933616247480e+001,1.195822432474547e+000},
{-2.084264185672811e+007,2.712136254406240e+004,-3.717403962809318e+001,
1.194635094103993e+000},{-1.832795661554030e+007,2.484284118361123e+004,
-3.547917043105402e+001,1.193460334372309e+000},{-1.612910315484070e+007,
2.276740549221483e+004,-3.386972055424017e+001,1.192298029797559e+000},
{-1.420493817465342e+007,2.087595838808486e+004,-3.234098209159364e+001,
1.191148058130523e+000},{-1.251978525903208e+007,1.915127628793518e+004,
-3.088852777905769e+001,1.190010298338169e+000},{-1.104283839085355e+007,
1.757784331955985e+004,-2.950819407825404e+001,1.188884630587475e+000},
{-9.747385274891593e+006,1.614165584070271e+004,-2.819606332104048e+001,
1.187770936229595e+000},{-8.610258724756623e+006,1.483007183595590e+004,
-2.694844841479200e+001,1.186669097784365e+000},{-7.611347860356514e+006,
1.363167257285838e+004,-2.576187830531837e+001,1.185578998925132e+000},
{-6.733210449194347e+006,1.253614352179986e+004,-2.463308451072768e+001,
1.184500524463906e+000},{-5.960664814163764e+006,1.153415408137276e+004,
-2.355898800825970e+001,1.183433560336828e+000},{-5.280521597699627e+006,
1.061726682066825e+004,-2.253668783797127e+001,1.182377993589938e+000},
{-4.681293638655025e+006,9.777843148067454e+003,-2.156344973986173e+001,
1.181333712365246e+000},{-4.152968837995382e+006,9.008964808911329e+003,
-2.063669596087836e+001,1.180300605887091e+000},{-3.686828565114908e+006,
8.304365766483923e+003,-1.975399574397403e+001,1.179278564448786e+000},
{-3.275266327776558e+006,7.658365108421354e+003,-1.891305611231615e+001,
1.178267479399534e+000},{-2.911625574521497e+006,7.065807076565250e+003,
-1.811171341970251e+001,1.177267243131628e+000},{-2.590114661892789e+006,
6.522019111917333e+003,-1.734792596167091e+001,1.176277749067896e+000},
{-2.305650275370526e+006,6.022753490926198e+003,-1.661976587626541e+001,
1.175298891649416e+000},{-2.053788951097264e+006,5.564153643271859e+003,
-1.592541287535999e+001,1.174330566323474e+000},{-1.830650417503742e+006,
5.142717130166380e+003,-1.526314768679637e+001,1.173372669531767e+000},
{-1.632819252290972e+006,4.755254885285894e+003,-1.463134563215786e+001,
1.172425098698841e+000},{-1.457310558157280e+006,4.398869159670537e+003,
-1.402847159348952e+001,1.171487752220765e+000},{-1.301502456237975e+006,
4.070921570400577e+003,-1.345307431038991e+001,1.170560529454023e+000},
{-1.163093581080859e+006,3.769009894238661e+003,-1.290378157209061e+001,
1.169643330704624e+000},{-1.040059054359292e+006,3.490944949502028e+003,
-1.237929552902521e+001,1.168736057217427e+000},{-9.306220845951777e+005,
3.234732704043220e+003,-1.187838848926460e+001,1.167838611165672e+000},
{-8.332175097131218e+005,2.998554122300491e+003,-1.139989865622131e+001,
1.166950895640710e+000},{-7.464663784985374e+005,2.780749557180561e+003,
-1.094272640598105e+001,1.166072814641923e+000},{-6.691556891366435e+005,
2.579804982448421e+003,-1.050583075721938e+001,1.165204273066841e+000},
{-6.002151747908264e+005,2.394337509561513e+003,-1.008822589061445e+001,
1.164345176701438e+000},{-5.387000166680566e+005,2.223083665065604e+003,
-9.688978048092071e+000,1.163495432210602e+000},{-4.837771715710186e+005,
2.064889150637393e+003,-9.307202614248977e+000,1.162654947128783e+000},
{-4.347104808441157e+005,1.918698359847450e+003,-8.942061260376542e+000,
1.161823629850803e+000},{-3.908482209910512e+005,1.783545349089750e+003,
-8.592759344255985e+000,1.161001389622835e+000},{-3.516161249361212e+005,
1.658547033549894e+003,-8.258543553706538e+000,1.160188136533529e+000},
{-3.165035478016587e+005,1.542893819027835e+003,-7.938699394039895e+000,
1.159383781505299e+000},{-2.850598559817247e+005,1.435844989118608e+003,
-7.632549251081720e+000,1.158588236285744e+000},{-2.568853836992341e+005,
1.336721560377161e+003,-7.339450190895453e+000,1.157801413439231e+000},
{-2.316252113167582e+005,1.244900875868593e+003,-7.058792075603022e+000,
1.157023226338597e+000},{-2.089652497780896e+005,1.159812303640403e+003,
-6.789995822552769e+000,1.156253589156990e+000},{-1.886260028704987e+005,
1.080931941447458e+003,-6.532511605482741e+000,1.155492416859840e+000},
{-1.703595756576603e+005,1.007779146610457e+003,-6.285817340840077e+000,
1.154739625196958e+000},{-1.539455303444279e+005,9.399125006097200e+002,
-6.049417130211369e+000,1.153995130694738e+000},{-1.391878353597992e+005,
8.769265149992824e+002,-5.822839859171091e+000,1.153258850648495e+000},
{-1.259118679027340e+005,8.184484746241886e+002,-5.605637854535695e+000,
1.152530703114902e+000},{-1.139626359191102e+005,7.641359827753867e+002,
-5.397385660782585e+000,1.151810606904539e+000},{-1.032013550357087e+005,
7.136737153582978e+002,-5.197678765965424e+000,1.151098481574539e+000},
{-9.350496389204710e+004,6.667719731724156e+002,-5.006132610481427e+000,
1.150394247421343e+000},{-8.476330492175093e+004,6.231638226625424e+002,
-4.822381409307250e+000,1.149697825473546e+000},{-7.687824464670279e+004,
5.826035987524953e+002,-4.646077237885241e+000,1.149009137484835e+000},
{-6.976204933005408e+004,5.448649346498113e+002,-4.476889054980945e+000,
1.148328105927014e+000},{-6.333647369305392e+004,5.097393221858990e+002,
-4.314501843141601e+000,1.147654653983123e+000},{-5.753143008675712e+004,
4.770344420945451e+002,-4.158615740492024e+000,1.146988705540629e+000},
{-5.228434076819440e+004,4.465730200783362e+002,-4.008945287331126e+000,
1.146330185184698e+000},{-4.753914508465970e+004,4.181914609969991e+002,
-3.865218653140307e+000,1.145679018191555e+000},{-4.324567909424259e+004,
3.917388090779465e+002,-3.727176949977069e+000,1.145035130521896e+000},
{-3.935897394044224e+004,3.670756753534608e+002,-3.594573558074095e+000,
1.144398448814387e+000},{-3.583878264355163e+004,3.440733666158342e+002,
-3.467173508311998e+000,1.143768900379221e+000},{-3.264892946834709e+004,
3.226129150306674e+002,-3.344752869211387e+000,1.143146413191748e+000},
{-2.975703079636661e+004,3.025844320516610e+002,-3.227098213411754e+000,
1.142530915886152e+000},{-2.713396553903700e+004,2.838862715090525e+002,
-3.114006060655961e+000,1.141922337749209e+000},{-2.475361222892791e+004,
2.664244520011594e+002,-3.005282394893281e+000,1.141320608714076e+000},
{-2.259246929329500e+004,2.501119931930805e+002,-2.900742176144558e+000,
1.140725659354155e+000},{-2.062942089795645e+004,2.348684065079063e+002,
-2.800208902194028e+000,1.140137420877001e+000},{-1.884547713413705e+004,
2.206191719071575e+002,-2.703514177914426e+000,1.139555825118279e+000},
{-1.722353739702725e+004,2.072952590638357e+002,-2.610497311259647e+000,
1.138980804535772e+000},{-1.574820565669981e+004,1.948327142632579e+002,
-2.521004936730899e+000,1.138412292203431e+000},{-1.440561272630618e+004,
1.831722652704424e+002,-2.434890653346931e+000,1.137850221805471e+000},
{-1.318326353872169e+004,1.722589632456998e+002,-2.352014682990452e+000,
1.137294527630510e+000},{-1.206988185328727e+004,1.620418365675164e+002,
-2.272243543846235e+000,1.136745144565746e+000},{-1.105529962362607e+004,
1.524736029253813e+002,-2.195449748531088e+000,1.136202008091175e+000},
{-1.013034181716861e+004,1.435103830129309e+002,-2.121511510792387e+000,
1.135665054273839e+000},{-9.286710899115280e+003,1.351114286113316e+002,
-2.050312467770768e+000,1.135134219762123e+000},{-8.516925185585011e+003,
1.272389163739304e+002,-1.981741426500199e+000,1.134609441780069e+000},
{-7.814215167392292e+003,1.198576991982375e+002,-1.915692106619513e+000,
1.134090658121731e+000},{-7.172456309463685e+003,1.129351140608649e+002,
-1.852062910163217e+000,1.133577807145568e+000},{-6.586111850428207e+003,
1.064408049999422e+002,-1.790756700400648e+000,1.133070827768850e+000},
{-6.050171835345558e+003,1.003465460629108e+002,-1.731680587420741e+000,
1.132569659462107e+000},{-5.560092621539761e+003,9.462607475690936e+001,
-1.674745725978995e+000,1.132074242243597e+000},{-5.111765690517253e+003,
8.925496645655235e+001,-1.619867130786789e+000,1.131584516673807e+000},
{-4.701461004393561e+003,8.421047987386929e+001,-1.566963488558861e+000,
1.131100423849972e+000},{-4.325801937265625e+003,7.947145063101340e+001,
-1.515956992240450e+000,1.130621905400621e+000},{-3.981719970706350e+003,
7.501816080096197e+001,-1.466773172300048e+000,1.130148903480148e+000},
{-3.666433998378832e+003,7.083224791831155e+001,-1.419340747082342e+000,
1.129681360763410e+000},{-3.377417860032481e+003,6.689659881427446e+001,
-1.373591471646139e+000,1.129219220440331e+000},{-3.112376370352019e+003,
6.319526122840436e+001,-1.329459999019620e+000,1.128762426210546e+000},
{-2.869224586596547e+003,5.971336256002279e+001,-1.286883747719661e+000,
1.128310922278051e+000},{-2.646066878698053e+003,5.643703113312434e+001,
-1.245802774455418e+000,1.127864653345879e+000},{-2.441179052490817e+003,
5.335332525583549e+001,-1.206159654087104e+000,1.127423564610798e+000},
{-2.252992087969359e+003,5.045016740473830e+001,-1.167899365297260e+000,
1.126987601758015e+000},{-2.080079180685374e+003,4.771628543389871e+001,
-1.130969182338600e+000,1.126556710955913e+000},{-1.921138426792311e+003,
4.514114975040469e+001,-1.095318569370784e+000,1.126130838850798e+000},
{-1.774986715083261e+003,4.271493085367734e+001,-1.060899085833134e+000,
1.125709932561658e+000},{-1.640543981075735e+003,4.042844155788508e+001,
-1.027664288390328e+000,1.125293939674950e+000},{-1.516825450176648e+003,
3.827309661545938e+001,-9.955696444190738e-001,1.124882808239393e+000},
{-1.402934644797308e+003,3.624087344333366e+001,-9.645724472776511e-001,
1.124476486760781e+000},{-1.298051190829407e+003,3.432426598985062e+001,
-9.346317324287821e-001,1.124074924196815e+000},{-1.201427843555840e+003,
3.251625738258812e+001,-9.057082044918685e-001,1.123678069951939e+000},
{-1.112382332639507e+003,3.081028253305661e+001,-8.777641610741774e-001,
1.123285873872205e+000},{-1.030289990482704e+003,2.920019517275006e+001,
-8.507634226388910e-001,1.122898286240140e+000},{-9.545814037954651e+002,
2.768024521664869e+001,-8.246712685981502e-001,1.122515257769640e+000},
{-8.847352179903480e+002,2.624504692644900e+001,-7.994543708220493e-001,
1.122136739600862e+000},{-8.202750157624278e+002,2.488955712219283e+001,
-7.750807349200021e-001,1.121762683295148e+000},{-7.607643646864409e+002,
2.360905024813576e+001,-7.515196415313357e-001,1.121393040829949e+000},
{-7.058044555340915e+002,2.239909971536202e+001,-7.287415925975793e-001,
1.121027764593767e+000},{-6.550297990234562e+002,2.125555560066715e+001,
-7.067182574172425e-001,1.120666807381118e+000},{-6.081054766904550e+002,
2.017452705997341e+001,-6.854224233914087e-001,1.120310122387493e+000},
{-5.647251310415043e+002,1.915236652516444e+001,-6.648279487465394e-001,
1.119957663204345e+000},{-5.246073073245650e+002,1.818565101191613e+001,
-6.449097155478253e-001,1.119609383814090e+000},{-4.874944380246073e+002,
1.727117028068883e+001,-6.256435880489638e-001,1.119265238585110e+000},
{-4.531499690131564e+002,1.640591080457108e+001,-6.070063697166392e-001,
1.118925182266775e+000},{-4.213569929980251e+002,1.558704419185258e+001,
-5.889757645456558e-001,1.118589169984485e+000},{-3.919163181558395e+002,
1.481191450974968e+001,-5.715303387652269e-001,1.118257157234713e+000},
{-3.646450553664385e+002,1.407802747939932e+001,-5.546494850349343e-001,
1.117929099880068e+000},{-3.393752203043368e+002,1.338304002382417e+001,
-5.383133878866853e-001,1.117604954144370e+000},{-3.159524776279070e+002,
1.272475057653111e+001,-5.225029907903754e-001,1.117284676607735e+000},
{-2.942348741380071e+002,1.210108978046953e+001,-5.071999645835167e-001,
1.116968224201675e+000},{-2.740919863183586e+002,1.151011260918757e+001,
-4.923866777802942e-001,1.116655554204213e+000},{-2.554037558983814e+002,
1.094998990086499e+001,-4.780461674068305e-001,1.116346624234999e+000},
{-2.380598009202213e+002,1.041900155948028e+001,-4.641621119578042e-001,
1.116041392250460e+000},{-2.219584008845426e+002,9.915529102386795e+000,
-4.507188047600041e-001,1.115739816538935e+000},{-2.070060510539739e+002,
9.438050073207766e+000,-4.377011294382324e-001,1.115441855715845e+000},
{-1.931164504418314e+002,8.985131047005984e+000,-4.250945352192337e-001,
1.115147468718868e+000},{-1.802102310100627e+002,8.555423116398927e+000,
-4.128850148149304e-001,1.114856614803115e+000},{-1.682141656369273e+002,
8.147655878814247e+000,-4.010590817995265e-001,1.114569253536338e+000},
{-1.570607576689517e+002,7.760632934266394e+000,-3.896037500077707e-001,
1.114285344794130e+000},{-1.466877631682851e+002,7.393227269003488e+000,
-3.785065133766781e-001,1.114004848755154e+000},{-1.370377407366794e+002,
7.044376929114794e+000,-3.677553266988977e-001,1.113727725896368e+000},
{-1.280577195832078e+002,6.713081210827975e+000,-3.573385873661134e-001,
1.113453936988272e+000},{-1.196987359562168e+002,6.398396598589270e+000,
-3.472451175418697e-001,1.113183443090161e+000},{-1.119156299903978e+002,
6.099433714827095e+000,-3.374641476858871e-001,1.112916205545393e+000},
{-1.046666771658784e+002,5.815353767791457e+000,-3.279853001222415e-001,
1.112652185976661e+000},{-9.791330185485612e+001,5.545365486858695e+000,
-3.187985736676302e-001,1.112391346281281e+000},{-9.161985391952307e+001,
5.288722384756864e+000,-3.098943289750698e-001,1.112133648626488e+000},
{-8.575340530044392e+001,5.044720137245840e+000,-3.012632743602935e-001,
1.111879055444745e+000},{-8.028343773174927e+001,4.812693734417916e+000,
-2.928964520012951e-001,1.111627529429055e+000},{-7.518179322684912e+001,
4.592015664927063e+000,-2.847852254065942e-001,1.111379033528286e+000},
{-7.042236090351322e+001,4.382093167137382e+000,-2.769212664359781e-001,
1.111133530942511e+000},{-6.598097748846658e+001,4.182366469691380e+000,
-2.692965437566774e-001,1.110890985118343e+000},{-6.183529536801900e+001,
3.992306887951382e+000,-2.619033113605164e-001,1.110651359744292e+000},
{-5.796458338458645e+001,3.811414767059530e+000,-2.547340973966659e-001,
1.110414618746117e+000},{-5.434965024181786e+001,3.639218005629175e+000,
-2.477816939273175e-001,1.110180726282199e+000},{-5.097272117872193e+001,
3.475270394432624e+000,-2.410391467313756e-001,1.109949646738908e+000},
{-4.781728753969381e+001,3.319149959947196e+000,-2.344997455526618e-001,
1.109721344725985e+000},{-4.486806590326451e+001,3.170457809715834e+000,
-2.281570150977289e-001,1.109495785071926e+000},{-4.211087764798335e+001,
3.028816655189627e+000,-2.220047059445052e-001,1.109272932819375e+000},
{-3.953255089399676e+001,2.893869530061677e+000,-2.160367860342251e-001,
1.109052753220513e+000},{-3.712088444697060e+001,2.765278795726399e+000,
-2.102474326561080e-001,1.108835211732461e+000},{-3.486452988379367e+001,
2.642724832352832e+000,-2.046310243774980e-001,1.108620274012686e+000},
{-3.275296521562360e+001,2.525905196629955e+000,-1.991821337422336e-001,
1.108407905914401e+000},{-3.077640612607013e+001,2.414533510698032e+000,
-1.938955198666938e-001,1.108198073481974e+000},{-2.892576875467384e+001,
2.308338647291225e+000,-1.887661216370296e-001,1.107990742946342e+000},
{-2.719260655221808e+001,2.207063812446913e+000,-1.837890509715300e-001,
1.107785880720415e+000},{-2.556907195833716e+001,2.110465784504171e+000,
-1.789595864863502e-001,1.107583453394488e+000},{-2.404786193436341e+001,
2.018314105057650e+000,-1.742731673035715e-001,1.107383427731652e+000},
{-2.262219267228373e+001,1.930390438141688e+000,-1.697253872422143e-001,
1.107185770663204e+000},{-2.128574048713125e+001,1.846487791138621e+000,
-1.653119890350547e-001,1.106990449284039e+000},{-2.003263310347830e+001,
1.766410019480312e+000,-1.610288590676970e-001,1.106797430848068e+000},
{-1.885739666271851e+001,1.689971111419810e+000,-1.568720219860535e-001,
1.106606682763607e+000},{-1.775493736745766e+001,1.616994694704592e+000,
-1.528376357874969e-001,1.106418172588765e+000},{-1.672051102762514e+001,
1.547313487069378e+000,-1.489219869625882e-001,1.106231868026832e+000},
{-1.574969663925623e+001,1.480768795888941e+000,-1.451214858670679e-001,
1.106047736921662e+000},{-1.483837797396761e+001,1.417210073731107e+000,
-1.414326622958197e-001,1.105865747253029e+000},{-1.398271440313103e+001,
1.356494434837758e+000,-1.378521611505417e-001,1.105685867131996e+000},
{-1.317913026999323e+001,1.298486293574206e+000,-1.343767384064626e-001,
1.105508064796260e+000},{-1.242428692388935e+001,1.243056912289198e+000,
-1.310032570641007e-001,1.105332308605480e+000},{-1.171507278035640e+001,
1.190084079716421e+000,-1.277286834334243e-001,1.105158567036609e+000},
{-1.104858517393140e+001,1.139451742725932e+000,-1.245500834352500e-001,
1.104986808679193e+000},{-1.042211251594205e+001,1.091049661445034e+000,
-1.214646190752247e-001,1.104817002230662e+000},{-9.833127930109274e+000,
1.044773141735465e+000,-1.184695451190952e-001,1.104649116491605e+000},
{-9.279269222529393e+000,1.000522693449853e+000,-1.155622057650780e-001,
1.104483120361017e+000},{-8.758331594475001e+000,9.582037846231296e-001,
-1.127400315718840e-001,1.104318982831536e+000},{-8.268254945039644e+000,
9.177265681872020e-001,-1.100005364272110e-001,1.104156672984648e+000},
{-7.807115847858402e+000,8.790056460390960e-001,-1.073413146627254e-001,
1.103996159985876e+000},{-7.373115629180458e+000,8.419598198523868e-001,
-1.047600382440301e-001,1.103837413079935e+000},{-6.964572964185544e+000,
8.065118808283763e-001,-1.022544541103427e-001,1.103680401585863e+000},
{-6.579917319551989e+000,7.725884103231008e-001,-9.982238159976631e-002,
1.103525094892129e+000},{-6.217678026064315e+000,7.401195591188906e-001,
-9.746170992509612e-002,1.103371462451692e+000},{-5.876481003699939e+000,
7.090388893243341e-001,-9.517039583419153e-002,1.103219473777050e+000},
{-5.555039937632146e+000,6.792831791393206e-001,-9.294646126452588e-002,
1.103069098435232e+000},{-5.252151337727452e+000,6.507922663341224e-001,
-9.078799114828991e-002,1.102920306042765e+000},{-4.966688624137329e+000,
6.235088884904741e-001,-8.869313127201903e-002,1.102773066260599e+000},
{-4.697597099082865e+000,5.973785350753152e-001,-8.666008621865683e-002,
1.102627348788986e+000},{-4.443889321006219e+000,5.723493085615286e-001,
-8.468711739120274e-002,1.102483123362320e+000},{-4.204639802405735e+000,
5.483717858473124e-001,-8.277254109567965e-002,1.102340359743926e+000},
{-3.978982672410267e+000,5.253989052231248e-001,-8.091472672412192e-002,
1.102199027720805e+000},{-3.766104946723917e+000,5.033858263846861e-001,
-7.911209494828850e-002,1.102059097098311e+000},{-3.565246496739293e+000,
4.822898463553391e-001,-7.736311607075418e-002,1.101920537694806e+000},
{-3.375693166702355e+000,4.620702628019282e-001,-7.566630831640270e-002,
1.101783319336218e+000},{-3.196776175731432e+000,4.426882955432985e-001,
-7.402023630082621e-002,1.101647411850568e+000},{-3.027868289265530e+000,
4.241069821558813e-001,-7.242350948267441e-002,1.101512785062427e+000},
{-2.868380956603266e+000,4.062910862438896e-001,-7.087478069160028e-002,
1.101379408787292e+000},{-2.717761648825286e+000,3.892070113306511e-001,
-6.937274471398268e-002,1.101247252825911e+000},{-2.575492776805616e+000,
3.728227297727842e-001,-6.791613694488873e-002,1.101116286958535e+000},
{-2.441087575492705e+000,3.571076890125111e-001,-6.650373203673411e-002,
1.100986480939071e+000},{-2.314089601003278e+000,3.420327522372873e-001,
-6.513434266096387e-002,1.100857804489185e+000},{-2.194069980955622e+000,
3.275701217828866e-001,-6.380681826769433e-002,1.100730227292302e+000},
{-2.080626276127093e+000,3.136932793741042e-001,-6.252004391971047e-002,
1.100603718987523e+000},{-1.973379870081554e+000,3.003769146973490e-001,
-6.127293913386867e-002,1.100478249163457e+000},{-1.871975877273442e+000,
2.875968805007567e-001,-6.006445681803470e-002,1.100353787351948e+000},
{-1.776079761978281e+000,2.753301177489863e-001,-5.889358216906679e-002,
1.100230303021708e+000},{-1.685377974351372e+000,2.635546224548870e-001,
-5.775933170287378e-002,1.100107765571849e+000},{-1.599575248513736e+000,
2.522493798833729e-001,-5.666075222975589e-002,1.099986144325295e+000},
{-1.518393998763328e+000,2.413943236898121e-001,-5.559691992948053e-002,
1.099865408522100e+000},{-1.441573373151687e+000,2.309702912325227e-001,
-5.456693943451667e-002,1.099745527312619e+000},{-1.368867734589837e+000,
2.209589757712106e-001,-5.356994293865919e-002,1.099626469750589e+000},
{-1.300046167587472e+000,2.113428906117814e-001,-5.260508936047872e-002,
1.099508204786056e+000},{-1.234891346467230e+000,2.021053268185756e-001,
-5.167156351033650e-002,1.099390701258173e+000},{-1.173198705444031e+000,
1.932303174866275e-001,-5.076857530908452e-002,1.099273927887873e+000},
{-1.114775448009057e+000,1.847026001930233e-001,-4.989535901624339e-002,
1.099157853270368e+000},{-1.059440641210220e+000,1.765075920716501e-001,
-4.905117251505244e-002,1.099042445867529e+000},{-1.007023132646987e+000,
1.686313435356952e-001,-4.823529656692645e-002,1.098927674000076e+000},
{-9.573623681232882e-001,1.610605238473588e-001,-4.744703416850136e-002,
1.098813505839624e+000},{-9.103067285419199e-001,1.537823810200982e-001,
-4.668570986231731e-002,1.098699909400549e+000},{-8.657134181084795e-001,
1.467847197346915e-001,-4.595066911465587e-002,1.098586852531666e+000},
{-8.234480247181129e-001,1.400558758840660e-001,-4.524127770154400e-002,
1.098474302907740e+000},{-7.833836306847527e-001,1.335846880004829e-001,
-4.455692110940590e-002,1.098362228020779e+000},{-7.454007724787563e-001,
1.273604788213846e-001,-4.389700397971351e-002,1.098250595171141e+000},
{-7.093867102613078e-001,1.213730291305892e-001,-4.326094954621643e-002,
1.098139371458416e+000},{-6.752351859000392e-001,1.156125586897596e-001,
-4.264819911326340e-002,1.098028523772093e+000},{-6.428458916404382e-001,
1.100697043849075e-001,-4.205821154126008e-002,1.097918018781999e+000},
{-6.121243204484043e-001,1.047355035145177e-001,-4.149046276247566e-002,
1.097807822928491e+000},{-5.829812077024473e-001,9.960137266115672e-002,
-4.094444529841480e-002,1.097697902412399e+000},{-5.553323463516771e-001,
9.465909211282406e-002,-4.041966781121276e-002,1.097588223184712e+000},
{-5.290983018769104e-001,8.990078930542095e-002,-3.991565466360545e-002,
1.097478750935989e+000},{-5.042039900286437e-001,8.531892107954550e-002,
-3.943194549015325e-002,1.097369451085481e+000},{-4.805786848276957e-001,
8.090626225535701e-002,-3.896809480286970e-002,1.097260288769965e+000},
{-4.581553822544535e-001,7.665588629356712e-002,-3.852367158513845e-002,
1.097151228832265e+000},{-4.368710839101541e-001,7.256115807618124e-002,
-3.809825893429213e-002,1.097042235809448e+000},{-4.166659728273346e-001,
6.861571312219809e-002,-3.769145367706548e-002,1.096933273920688e+000},
{-3.974838071080961e-001,6.481345301685161e-002,-3.730286604710058e-002,
1.096824307054777e+000},{-3.792712543399244e-001,6.114852713700537e-002,
-3.693211933043777e-002,1.096715298757269e+000},{-3.619780828618504e-001,
5.761532647168631e-002,-3.657884956265647e-002,1.096606212217247e+000},
{-3.455566815276582e-001,5.420846842432888e-002,-3.624270520729187e-002,
1.096497010253680e+000},{-3.299621094861046e-001,5.092278977953486e-002,
-3.592334687380059e-002,1.096387655301374e+000},{-3.151519038052869e-001,
4.775333582428087e-002,-3.562044703062108e-002,1.096278109396484e+000},
{-3.010858568925735e-001,4.469535018894293e-002,-3.533368973476431e-002,
1.096168334161571e+000},{-2.877260222305396e-001,4.174426753748317e-002,
-3.506277037838072e-002,1.096058290790178e+000},{-2.750364404645829e-001,
3.889570313316693e-002,-3.480739543898168e-002,1.095947940030928e+000},
{-2.629831468064490e-001,3.614544648287300e-002,-3.456728225020585e-002,
1.095837242171080e+000},{-2.515340199362101e-001,3.348945271938262e-002,
-3.434215877564163e-002,1.095726157019559e+000},{-2.406586002995336e-001,
3.092383411927447e-002,-3.413176339382135e-002,1.095614643889409e+000},
{-2.303281947793209e-001,2.844485621163648e-002,-3.393584471062294e-002,
1.095502661579664e+000},{-2.205155458031833e-001,2.604892674078030e-002,
-3.375416134971540e-002,1.095390168356583e+000},{-2.111948886947761e-001,
2.373259209892301e-002,-3.358648178896612e-002,1.095277121934247e+000},
{-2.023418904624849e-001,2.149253081769280e-002,-3.343258418644718e-002,
1.095163479454475e+000},{-1.939334528829362e-001,1.932554604167274e-002,
-3.329225621812505e-002,1.095049197466017e+000},{-1.859477537233797e-001,
1.722856136015816e-002,-3.316529493473407e-002,1.094934231903014e+000},
{-1.783641264153182e-001,1.519861470134868e-002,-3.305150662158253e-002,
1.094818538062666e+000},{-1.711630023223341e-001,1.323285303316979e-002,
-3.295070667069486e-002,1.094702070582085e+000},{-1.643259022708403e-001,
1.132852818633101e-002,-3.286271946617035e-002,1.094584783414292e+000},
{-1.578352716519453e-001,9.482990227879400e-003,-3.278737827038020e-002,
1.094466629803301e+000},{-1.516745199919222e-001,7.693684441660621e-003,
-3.272452513343139e-002,1.094347562258269e+000},{-1.458279673702965e-001,
5.958146760596810e-003,-3.267401080554415e-002,1.094227532526641e+000},
{-1.402807290110952e-001,4.273998186553273e-003,-3.263569465492298e-002,
1.094106491566266e+000},{-1.350187580684957e-001,2.638942378886687e-003,
-3.260944461005679e-002,1.093984389516410e+000},{-1.300287214613593e-001,
1.050760098283643e-003,-3.259513709707835e-002,1.093861175667613e+000},
{-1.252980510881369e-001,-4.926930328170846e-004,-3.259265700107719e-002,
1.093736798430343e+000},{-1.208148059513224e-001,-1.993491944687124e-003,
-3.260189762661594e-002,1.093611205302381e+000},{-1.165677227796157e-001,
-3.453644121755644e-003,-3.262276068118421e-002,1.093484342834852e+000},
{-1.125461563667504e-001,-4.875093794032855e-003,-3.265515625962785e-002,
1.093356156596868e+000},{-1.087399966215703e-001,-6.259725904413122e-003,
-3.269900284369064e-002,1.093226591138662e+000},{-1.051397545722765e-001,
-7.609367460085121e-003,-3.275422732128897e-002,1.093095589953180e+000},
{-1.017363957762588e-001,-8.925793255991769e-003,-3.282076499971125e-002,
1.092963095436013e+000},{-9.852144216178711e-002,-1.021072638057550e-002,
-3.289855965570027e-002,1.092829048843598e+000},{-9.548686792267386e-002,
-1.146584294409076e-002,-3.298756357594890e-002,1.092693390249574e+000},
{-9.262510156753394e-002,-1.269277437900251e-002,-3.308773762526614e-002,
1.092556058499214e+000},{-8.992900988612509e-002,-1.389311018260152e-002,
-3.319905132538444e-002,1.092416991161816e+000},{-8.739188464906093e-002,
-1.506840068008259e-002,-3.332148294678389e-002,1.092276124480920e+000},
{-8.500738921456238e-002,-1.622016040192641e-002,-3.345501961458242e-002,
1.092133393322250e+000},{-8.276959948001254e-002,-1.734986965842096e-002,
-3.359965743818405e-002,1.091988731119247e+000},{-8.067292166344241e-002,
-1.845897846985461e-002,-3.375540164665517e-002,1.091842069816039e+000},
{-7.871214577495787e-002,-1.954890787713057e-002,-3.392226675377865e-002,
1.091693339807705e+000},{-7.688236749343953e-002,-2.062105393477184e-002,
-3.410027672821032e-002,1.091542469877672e+000},{-7.517903122777866e-002,
-2.167678909232968e-002,-3.428946519791137e-002,1.091389387132079e+000},
{-7.359788435365057e-002,-2.271746557145173e-002,-3.448987566368195e-002,
1.091234016930905e+000},{-7.213496529807099e-002,-2.374441795105308e-002,
-3.470156173993946e-002,1.091076282815684e+000},{-7.078664709747612e-002,
-2.475896478998424e-002,-3.492458742242282e-002,1.090916106433582e+000},
{-6.954953734834717e-002,-2.576241320349298e-002,-3.515902736727997e-002,
1.090753407457601e+000},{-6.842055334357715e-002,-2.675605967578415e-002,
-3.540496721654386e-002,1.090588103502687e+000},{-6.739689298150288e-002,
-2.774119353806004e-002,-3.566250393471657e-002,1.090420110037451e+000},
{-6.647599481840270e-002,-2.871910028240180e-002,-3.593174618253033e-002,
1.090249340291247e+000},{-6.565559167808195e-002,-2.969106335868627e-002,
-3.621281472572473e-002,1.090075705156262e+000},{-6.493365627398073e-002,
-3.065836816359168e-002,-3.650584287130890e-002,1.089899113084334e+000},
{-6.430842408472148e-002,-3.162230451330045e-002,-3.681097694769039e-002,
1.089719469978098e+000},{-6.377841573206161e-002,-3.258416951694268e-002,
-3.712837682203768e-002,1.089536679076100e+000},{-6.334237459730568e-002,
-3.354527207676258e-002,-3.745821645677120e-002,1.089350640831460e+000},
{-6.299931960292200e-002,-3.450693519565747e-002,-3.780068452222145e-002,
1.089161252783616e+000},{-6.274855690363090e-002,-3.547049958158794e-002,
-3.815598505196914e-002,1.088968409422674e+000},{-6.258962932227907e-002,
-3.643732858924495e-002,-3.852433814992687e-002,1.088772002045827e+000},
{-6.252237552594815e-002,-3.740881109502971e-002,-3.890598076615168e-002,
1.088571918605265e+000},{-6.254690896242934e-002,-3.838636646260465e-002,
-3.930116752711852e-002,1.088368043546958e+000},{-6.266364244831302e-002,
-3.937144869619517e-002,-3.971017164197188e-002,1.088160257639610e+000},
{-6.287328319117271e-002,-4.036555176939004e-002,-4.013328587796861e-002,
1.087948437793056e+000},{-6.317686471529196e-002,-4.137021437944927e-002,
-4.057082362458787e-002,1.087732456865278e+000},{-6.357574767711911e-002,
-4.238702597030984e-002,-4.102312004137679e-002,1.087512183457172e+000},
{-6.407164470783205e-002,-4.341763253645162e-002,-4.149053330906206e-002,
1.087287481694067e+000},{-6.466664636574100e-002,-4.446374318746806e-002,
-4.197344598438829e-002,1.087058210992956e+000},{-6.536322059434012e-002,
-4.552713774389385e-002,-4.247226647187895e-002,1.086824225814272e+000},
{-6.616428759721223e-002,-4.660967333451058e-002,-4.298743063263810e-002,
1.086585375396910e+000},{-6.707319059880698e-002,-4.771329437422422e-002,
-4.351940351974055e-002,1.086341503475118e+000},{-6.809379051719827e-002,
-4.884004012133992e-002,-4.406868129064020e-002,1.086092447975686e+000},
{-6.923558511367642e-002,-4.999196690374660e-002,-4.463579361515062e-002,
1.085838040693730e+000},{-7.049988138972356e-002,-5.117136544992598e-002,
-4.522130521822819e-002,1.085578106945194e+000},{-7.188620542131699e-002,
-5.238072225909109e-002,-4.582581885465249e-002,1.085312465193973e+000},
{-7.339274099366680e-002,-5.364413985831130e-002,-4.646040027521749e-002,
1.085036412823779e+000},{-7.500954773269826e-002,-5.492497782325354e-002,
-4.710632451399192e-002,1.084758207947855e+000},{-7.673673432833014e-002,
-5.622189579867198e-002,-4.776212196116022e-002,1.084478467134268e+000},
{-7.857550333131255e-002,-5.753625488563768e-002,-4.842767881855225e-002,
1.084197220574224e+000},{-8.052734288370235e-002,-5.886938522147935e-002,
-4.910289264837146e-002,1.083914499613667e+000},{-8.259407010993335e-002,
-6.022258916344622e-002,-4.978767167516485e-002,1.083630336649792e+000},
{-8.477775911831006e-002,-6.159714721340068e-002,-5.048193412171477e-002,
1.083344765033191e+000},{-8.708080113955191e-002,-6.299432003883736e-002,
-5.118560761903612e-002,1.083057818975364e+000},{-8.950584765384662e-002,
-6.441535367085308e-002,-5.189862863655786e-002,1.082769533461264e+000},
{-9.205583518148568e-002,-6.586148203903283e-002,-5.262094197327757e-002,
1.082479944166658e+000},{-9.473397681422530e-002,-6.733393026815319e-002,
-5.335250028030908e-002,1.082189087380031e+000},{-9.754375455528717e-002,
-6.883391781405844e-002,-5.409326361800470e-002,1.081896999928780e+000},
{-1.004889430537072e-001,-7.036266070476557e-002,-5.484319904975906e-002,
1.081603719109501e+000},{-1.035735781946822e-001,-7.192137498268748e-002,
-5.560228025918928e-002,1.081309282622144e+000},{-1.068019749773503e-001,
-7.351127863515777e-002,-5.637048720388151e-002,1.081013728507841e+000},
{-1.101787499902488e-001,-7.513359354342586e-002,-5.714780579175685e-002,
1.080717095090215e+000},{-1.137088060108335e-001,-7.678954829834185e-002,
-5.793422757552009e-002,1.080419420919993e+000},{-1.173973070410327e-001,
-7.848038080842838e-002,-5.872974947289480e-002,1.080120744722770e+000},
{-1.212497678441141e-001,-8.020733845529093e-002,-5.953437351668309e-002,
1.079821105349743e+000},{-1.252719700472134e-001,-8.197168217757889e-002,
-6.034810660246008e-002,1.079520541731282e+000},{-1.294700211546631e-001,
-8.377468696961547e-002,-6.117096027413883e-002,1.079219092833192e+000},
{-1.338503700750963e-001,-8.561764374303535e-002,-6.200295051492537e-002,
1.078916797615539e+000},{-1.384197709577187e-001,-8.750186189508519e-002,
-6.284409755180367e-002,1.078613694993897e+000},{-1.431853353658080e-001,
-8.942867014032002e-002,-6.369442568095514e-002,1.078309823802917e+000},
{-1.481545174104211e-001,-9.139941856567219e-002,-6.455396310036206e-002,
1.078005222762096e+000},{-1.533351702300495e-001,-9.341547956575609e-002,
-6.542274175644600e-002,1.077699930443627e+000},{-1.587354634820050e-001,
-9.547825103285042e-002,-6.630079719598207e-002,1.077393985242266e+000},
{-1.643640090876028e-001,-9.758915575387375e-002,-6.718816844083814e-002,
1.077087425347061e+000},{-1.702298127665787e-001,-9.974964419697471e-002,
-6.808489785802697e-002,1.076780288714918e+000},{-1.763422817767454e-001,
-1.019611961271160e-001,-6.899103104367133e-002,1.076472613045863e+000},
{-1.827112750381146e-001,-1.042253212629891e-001,-6.990661672048851e-002,
1.076164435759950e+000},{-1.893470894923299e-001,-1.065435614567023e-001,
-7.083170663269980e-002,1.075855793975729e+000},{-1.962605127165320e-001,
-1.089174914651409e-001,-7.176635545593288e-002,1.075546724490185e+000},
{-2.034627974654094e-001,-1.113487211960143e-001,-7.271062070759818e-002,
1.075237263760114e+000},{-2.109657066826481e-001,-1.138388965833026e-001,
-7.366456266798066e-002,1.074927447884822e+000},{-2.187815400532935e-001,
-1.163897009783962e-001,-7.462824430457526e-002,1.074617312590122e+000},
{-2.269231322486189e-001,-1.190028571417117e-001,-7.560173119833084e-002,
1.074306893213548e+000},{-2.354038806028248e-001,-1.216801282391285e-001,
-7.658509148189741e-002,1.073996224690738e+000},{-2.442378202565233e-001,
-1.244233187393023e-001,-7.757839577778078e-002,1.073685341542923e+000},
{-2.534395283451278e-001,-1.272342778387637e-001,-7.858171713389295e-002,
1.073374277865470e+000},{-2.630263592208533e-001,-1.301148743711012e-001,
-7.959513104281542e-002,1.073063067317448e+000},{-2.730051134964604e-001,
-1.330671775579355e-001,-8.061871489472258e-002,1.072751743112126e+000},
{-2.834065958432523e-001,-1.360929306822043e-001,-8.165254963474328e-002,
1.072440338008417e+000},{-2.942333101794055e-001,-1.391944214222225e-001,
-8.269671635638208e-002,1.072128884302168e+000},{-3.054697678952821e-001,
-1.423740192943417e-001,-8.375129913345693e-002,1.071817413823248e+000},
{-3.170567570317931e-001,-1.456342483062608e-001,-8.481638378906832e-002,
1.071505957923588e+000},{-3.306168617540374e-001,-1.489587293359699e-001,
-8.589210145617054e-002,1.071194547476514e+000},{-3.409850517367228e-001,
-1.524212808452965e-001,-8.697834037358347e-002,1.070883212875128e+000},
{-3.560258309587398e-001,-1.559011033901600e-001,-8.807563275717535e-002,
1.070571984040678e+000},{-3.693952037952778e-001,-1.595118380297836e-001,
-8.918357985816929e-002,1.070260890269993e+000},{-3.838111583549971e-001,
-1.632041776149361e-001,-9.030255764252720e-002,1.069949960599530e+000},
{-3.988287520315456e-001,-1.669904093902224e-001,-9.143260204604514e-002,
1.069639223399451e+000},{-4.144733321913969e-001,-1.708730877160433e-001,
-9.257381383873017e-002,1.069328706585730e+000},{-4.307713785387899e-001,
-1.748548319916569e-001,-9.372629570383198e-002,1.069018437574774e+000},
{-4.477502767932388e-001,-1.789383318342014e-001,-9.489015220206132e-002,
1.068708443282907e+000},{-4.654387110151121e-001,-1.831263430257065e-001,
-9.606548976685919e-002,1.068398750126322e+000},{-4.838661501934946e-001,
-1.874216961724761e-001,-9.725241665146278e-002,1.068089384021467e+000},
{-5.030632737861358e-001,-1.918272907282402e-001,-9.845104292529755e-002,
1.067780370385895e+000},{-5.235374589086956e-001,-1.963417315274094e-001,
-9.966148935023214e-002,1.067471734139486e+000},{-5.454914032389386e-001,
-2.009649239097508e-001,-1.008838772519371e-001,1.067163499706100e+000},
{-5.691589559314858e-001,-2.056953492856035e-001,-1.021183461925116e-001,
1.066855691015596e+000},{-5.948100549339186e-001,-2.110255040137948e-001,
-1.034822753625355e-001,1.066519576356437e+000},{-6.235735359755632e-001,
-2.165957325688549e-001,-1.048868425206513e-001,1.066177762224400e+000},
{-6.499081473123812e-001,-2.224933799811154e-001,-1.063338865224673e-001,
1.065830074548712e+000},{-6.837787055262851e-001,-2.285973841168222e-001,
-1.078260017738615e-001,1.065476330621825e+000},{-7.167680580575481e-001,
-2.350681790211194e-001,-1.093649281364889e-001,1.065116338398494e+000},
{-7.529421660388130e-001,-2.418587175888764e-001,-1.109534924500986e-001,
1.064749896111096e+000},{-7.918478434536762e-001,-2.490076352352779e-001,
-1.125942698775614e-001,1.064376791182773e+000},{-8.337579503056568e-001,
-2.565420848384871e-001,-1.142901236298031e-001,1.063996799632633e+000},
{-8.789796651735242e-001,-2.644919033636966e-001,-1.160441401751793e-001,
1.063609685150805e+000},{-9.278592389976171e-001,-2.728899480510872e-001,
-1.178596518948347e-001,1.063215198130870e+000},{-9.807885348650018e-001,
-2.817724684979601e-001,-1.197402626436758e-001,1.062813074603089e+000},
{-1.038211963449425e+000,-2.911795476170365e-001,-1.216898765582236e-001,
1.062403035055771e+000},{-1.100635026079546e+000,-3.011556050874361e-001,
-1.237127306959247e-001,1.061984783130254e+000},{-1.168634591893341e+000,
-3.117499794663595e-001,-1.258134320829727e-001,1.061558004172562e+000},
{-1.242871047312425e+000,-3.230176068616857e-001,-1.279969998819422e-001,
1.061122363622202e+000},{-1.324102816333368e+000,-3.350198128649087e-001,
-1.302689135412735e-001,1.060677505215274e+000},{-1.413204046652451e+000,
-3.478252360881645e-001,-1.326351679601656e-001,1.060223048975250e+000},
{-1.511185630627330e+000,-3.615109178443726e-001,-1.351023368667481e-001,
1.059758588960120e+000},{-1.619221197038109e+000,-3.761635786122374e-001,
-1.376776459309125e-001,1.059283690729083e+000},{-1.738677889702752e+000,
-3.918811400429350e-001,-1.403690573333936e-001,1.058797888485215e+000},
{-1.871154359990751e+000,-4.087745223058986e-001,-1.431853680336985e-001,
1.058300681842389e+000},{-2.018526589606020e+000,-4.269697926301481e-001,
-1.461363243040554e-001,1.057791532154715e+000},{-2.185501792184186e+000,
-4.465841288025065e-001,-1.492328186957302e-001,1.057269858334624e+000},
{-2.364687153396257e+000,-4.679154024903533e-001,-1.524865743220330e-001,
1.056735032070606e+000},{-2.576475123351074e+000,-4.908877748574237e-001,
-1.559120016473587e-001,1.056186372337097e+000},{-2.809603261630487e+000,
-5.159839044005667e-001,-1.595231052389059e-001,1.055623138920609e+000},
{-3.075454975098822e+000,-5.433260214541975e-001,-1.633376814220988e-001,
1.055044525513794e+000},{-3.378476048700296e+000,-5.732358362636583e-001,
-1.673748772676717e-001,1.054449650639562e+000},{-3.725624075390214e+000,
-6.060595365408650e-001,-1.716566425727572e-001,1.053837547969356e+000},
{-4.125513088548122e+000,-6.422048242798819e-001,-1.762080296688844e-001,
1.053207154504926e+000},{-4.588900079051337e+000,-6.821546123391310e-001,
-1.810577742248455e-001,1.052557296675667e+000},{-5.129342151488261e+000,
-7.264844420275155e-001,-1.862390135536310e-001,1.051886673785578e+000},
{-5.764097830251668e+000,-7.758847747289787e-001,-1.917901826032635e-001,
1.051193838170567e+000},{-6.515378231730130e+000,-8.311897985680916e-001,
-1.977561416081993e-001,1.050477171237241e+000},{-7.412109909279641e+000,
-8.934149834663464e-001,-2.041896093864123e-001,1.049734854297595e+000},
{-8.492455381030945e+000,-9.638065423607585e-001,-2.111530046471992e-001,
1.048964832761054e+000},{-9.807474389689094e+000,-1.043907256650206e+000,
-2.187208392607184e-001,1.048164771754150e+000},{-1.142992555561826e+001,
-1.135606773901190e+000,-2.269829647144973e-001,1.047332000543470e+000},
{-1.344511926099734e+001,-1.241495308018550e+000,-2.360481455742939e-001,
1.046463442140266e+000},{-1.600738269476274e+001,-1.364375395477736e+000,
-2.460518881297009e-001,1.045555523007033e+000},{-1.929939535516280e+001,
-1.508513275807175e+000,-2.571603987700460e-001,1.044604055466647e+000},
{-2.362120150582920e+001,-1.678967132778218e+000,-2.695862540141585e-001,
1.043604082766197e+000},{-2.942152881801653e+001,-1.882583607807427e+000,
-2.836015162163547e-001,1.042549669910840e+000},{-3.741453654687421e+001,
-2.128389007332268e+000,-2.995629186888021e-001,1.041433617232253e+000},
{-4.878270682458398e+001,-2.428336462205647e+000,-3.179486577792697e-001,
1.040247057754742e+000},{-6.558832836460495e+001,-2.797988793419757e+000,
-3.394177234686278e-001,1.038978876337398e+000},{-9.164855359795394e+001,
-3.256574496899152e+000,-3.649096511422550e-001,1.037614844862927e+000},
{-1.346442592691005e+002,-3.822745465072996e+000,-3.958270232324012e-001,
1.036136285584020e+000},{-2.039488892785857e+002,-4.585663115601926e+000,
-4.341576010582943e-001,1.034517909421716e+000},{-3.213729265046176e+002,
-5.715603682655638e+000,-4.830053729894114e-001,1.032724118072463e+000},
{-5.380530697149483e+002,-7.590740438263201e+000,-5.472440337555892e-001,
1.030702209952531e+000},{-9.773668143802523e+002,-8.397564013673986e+000,
-6.149721615017588e-001,1.028987687176493e+000},{-1.971206182132680e+003,
-7.954972432593549e+000,-7.107673680064054e-001,1.027043503002403e+000},
{-4.259063749453282e+003,-7.470160381920227e+000,-8.552169229520203e-001,
1.024677777723123e+000},{-9.468420868233850e+003,-1.441169226818975e+001,
-1.061676619743433e+000,1.021911421684383e+000},{-2.124426475615268e+004,
-2.969103328338514e+001,-1.321932106107769e+000,1.019310988957590e+000},
{-5.142304350768700e+004,-2.757198727294517e+001,-1.633808439690381e+000,
1.017155605087379e+000},{-1.261916077251016e+005,1.340795831729274e+001,
-2.041513938530926e+000,1.015172127346691e+000},{-2.907555625955585e+005,
3.100216772602235e+000,-2.587089312710111e+000,1.013030579652139e+000},
{-6.443400705406987e+005,-4.736727283746432e+002,-3.393782437455662e+000,
1.010424690909639e+000},{-1.284212584824039e+006,-8.719164629810688e+002,
-4.081415290704422e+000,1.009013628657760e+000},{-2.953254945900618e+006,
-3.499079388487411e+002,-4.609510455745138e+000,1.008360191314845e+000},
{-8.708278203444760e+006,1.160570409967432e+003,-5.732506388098228e+000,
1.007240267626251e+000},{-2.925999835917269e+007,6.373124182370374e+003,
-7.673217433665648e+000,1.006032670356375e+000},{-9.691364693490808e+007,
5.724533606825865e+003,-9.856016988972671e+000,1.004465302443802e+000},
{-2.344230326747042e+008,-7.237460849943119e+003,-1.228103670994250e+001,
1.003403193772207e+000},{-1.674594981779917e+012,7.945262725742146e+007,
-9.424323791757101e+002,1.002718092569686e+000}};
record crit
extends Modelica.Icons.Record;
constant SI.Temperature TCRIT=374.18;
constant SI.Pressure PCRIT=4056290.0;
constant SI.Density DCRIT=508.0;
end crit;
record data
constant SI.SpecificHeatCapacity R_s=81.4888564372;
// 8.314471/0.102032
constant SI.MolarMass MM=0.102032;
extends crit;
constant SI.SpecificEnthalpy HCRIT=389653;
constant SI.SpecificEntropy SCRIT=1562.135;
extends fcrit;
extends triple;
end data;
record fcrit
extends Modelica.Icons.Record;
constant SI.Temperature FTCRIT=374.209;
constant SI.Pressure FPCRIT=4059280.0;
constant SI.Density FDCRIT=511.9;
end fcrit;
record Ideal
extends Common.EOSIdealCoeff(nc=5, a={-1.019535e+0,9.047135e+0,-1.629789e+0,
-9.723916e+0,-3.927170e+0});
end Ideal;
record ReferenceStates
extends Modelica.Icons.Record;
constant SI.SpecificEnthalpy h0=1.0;
constant SI.SpecificEntropy s0=1.0;
end ReferenceStates;
record Residual
extends Common.EOSResidualCoeff(
nc=21,
ns1=8,
c={0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,1.0,1.0,2.0,2.0,2.0,2.0,2.0,2.0,
3.0,3.0,3.0,4.0},
d={2.0,1.0,3.0,6.0,6.0,1.0,1.0,2.0,5.0,2.0,2.0,4.0,1.0,4.0,1.0,2.0,4.0,
1.0,5.0,3.0,10.0},
t={-0.5,0.0,0.0,0.0,1.5,1.5,2.0,2.0,1.0,3.0,5.0,1.0,5.0,5.0,6.0,10.0,
10.0,10.0,18.0,22.0,50.0},
n={0.5586817000e-01,0.4982230000e+00,0.2458698000e-01,0.8570145000e-03,
0.4788584000e-03,-0.1800808000e+01,0.2671641000e+00,-0.4781652000e-01,
0.1423987000e-01,0.3324062000e+00,-0.7485907000e-02,
0.1017263000e-03,-0.5184567000e+00,-0.8692288000e-01,
0.2057144000e+00,-0.5000457000e-02,0.4603262000e-03,-0.3497836000e-02,
0.6995038000e-02,-0.1452184000e-01,-0.1285458000e-03});
end Residual;
record triple
extends Modelica.Icons.Record;
constant SI.Temperature TTRIPLE=169.85;
constant SI.Pressure PTRIPLE=389.563789;
constant SI.Density DLTRIPLE=1591.107453;
constant SI.Density DVTRIPLE=0.028172;
end triple;
record CoeffsThermalConductivity
extends Modelica.Icons.Record;
constant Real a_0=-1.05248e-2 "Empirical parameter, [W/(m K)]";
constant Real a_1=8.00982e-5 "Empirical parameter, [W/(m K^2)]";
constant Real b[4]={1.836526,5.126143,-1.436883,0.626144}
"Empirical parameter, [-]";
constant Real lambda_reducing=2.055e-3 "Reducing factor, [W/(m K)]";
constant Real q_d=1.89202e9
"Modified effective cutoff wave number, [1/m]";
constant Real xi_0=1.94e-10 "Critical Amplitude, [m]";
constant Real GAMMA=0.0496 "Amplitude, [-]";
constant Real T_ref=561.411 "Arbitrary reference temperature, [K]";
constant Real p_crit=4059.28 "Critical pressure, [kPa]";
constant Real rho_crit=5.049886 "Critical density, [mol/L]";
constant Real nu=0.63 "Universal exponent, [-]";
constant Real gamma=1.239 "Universal exponent, [-]";
constant Real R_0=1.03 "Universal amplitude, [-]";
end CoeffsThermalConductivity;
record CoeffsSurfaceTension
extends Modelica.Icons.Record;
constant Integer nterm=1;
constant Real sigmak[nterm]={0.06016} "Empirical parameter";
constant Real sigexp[nterm]={1.26} "Empirical parameter";
end CoeffsSurfaceTension;
end R134aData;
end R134a; |
Air: Detailed dry air model as ideal gas (200..6000 K) | within Modelica.Media.Air;
package DryAirNasa "Air: Detailed dry air model as ideal gas (200..6000 K)"
extends Modelica.Icons.MaterialProperty;
extends IdealGases.Common.SingleGasNasa(
mediumName="Air",
data=IdealGases.Common.SingleGasesData.Air,
fluidConstants={IdealGases.Common.FluidData.N2});
redeclare function dynamicViscosity
"Return dynamic viscosity of dry air (simple polynomial, moisture influence small, valid from 123.15 K to 1273.15 K, outside of this range linear extrapolation is used)"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output DynamicViscosity eta "Dynamic viscosity";
import Modelica.Math.Polynomials;
algorithm
eta := 1e-6*Polynomials.evaluateWithRange(
{9.7391102886305869E-15,-3.1353724870333906E-11,4.3004876595642225E-08,
-3.8228016291758240E-05,5.0427874367180762E-02,1.7239260139242528E+01},
Cv.to_degC(123.15),
Cv.to_degC(1273.15),
Cv.to_degC(state.T));
end dynamicViscosity;
redeclare function thermalConductivity
"Return thermal conductivity of dry air (simple polynomial, moisture influence small, valid from 123.15 K to 1273.15 K, outside of this range linear extrapolation is used)"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
input Integer method=1 "Dummy for compatibility reasons";
output ThermalConductivity lambda "Thermal conductivity";
import Modelica.Math.Polynomials;
algorithm
lambda := 1e-3*Polynomials.evaluateWithRange(
{6.5691470817717812E-15,-3.4025961923050509E-11,5.3279284846303157E-08,
-4.5340839289219472E-05,7.6129675309037664E-02,2.4169481088097051E+01},
Cv.to_degC(123.15),
Cv.to_degC(1273.15),
Cv.to_degC(state.T));
end thermalConductivity;
end DryAirNasa; |
Air: Moist air model (190 ... 647 K) | within Modelica.Media.Air;
package MoistAir "Air: Moist air model (190 ... 647 K)"
extends Interfaces.PartialCondensingGases(
mediumName="Moist air",
substanceNames={"water","air"},
final reducedX=true,
final singleState=false,
reference_X={0.01,0.99},
fluidConstants={IdealGases.Common.FluidData.H2O,IdealGases.Common.FluidData.N2},
Temperature(min=190, max=647));
import Modelica.Media.IdealGases.Common.Functions;
constant Integer Water=1
"Index of water (in substanceNames, massFractions X, etc.)";
constant Integer Air=2
"Index of air (in substanceNames, massFractions X, etc.)";
// constant SI.Pressure psat_low=saturationPressureWithoutLimits(200.0);
// constant SI.Pressure psat_high=saturationPressureWithoutLimits(422.16);
constant Real k_mair=steam.MM/dryair.MM "Ratio of molar weights";
constant IdealGases.Common.DataRecord dryair=IdealGases.Common.SingleGasesData.Air;
constant IdealGases.Common.DataRecord steam=IdealGases.Common.SingleGasesData.H2O;
constant SI.MolarMass[2] MMX={steam.MM,dryair.MM}
"Molar masses of components";
import Modelica.Media.Interfaces;
import Modelica.Math;
import Modelica.Constants;
import Modelica.Media.IdealGases.Common.SingleGasNasa;
import Modelica.Media.Interfaces.Choices.ReferenceEnthalpy;
redeclare record extends ThermodynamicState
"ThermodynamicState record for moist air"
end ThermodynamicState;
redeclare replaceable model extends BaseProperties(
T(stateSelect=if preferredMediumStates then StateSelect.prefer else
StateSelect.default),
p(stateSelect=if preferredMediumStates then StateSelect.prefer else
StateSelect.default),
Xi(each stateSelect=if preferredMediumStates then StateSelect.prefer
else StateSelect.default),
final standardOrderComponents=true) "Moist air base properties record"
/* p, T, X = X[Water] are used as preferred states, since only then all
other quantities can be computed in a recursive sequence.
If other variables are selected as states, static state selection
is no longer possible and non-linear algebraic equations occur.
*/
MassFraction x_water "Mass of total water/mass of dry air";
Real phi "Relative humidity";
protected
MassFraction X_liquid "Mass fraction of liquid or solid water";
MassFraction X_steam "Mass fraction of steam water";
MassFraction X_air "Mass fraction of air";
MassFraction X_sat
"Steam water mass fraction of saturation boundary in kg_water/kg_moistair";
MassFraction x_sat
"Steam water mass content of saturation boundary in kg_water/kg_dryair";
AbsolutePressure p_steam_sat "Partial saturation pressure of steam";
equation
assert(T >= 190 and T <= 647, "
Temperature T is not in the allowed range
190.0 K <= (T ="
+ String(T) + " K) <= 647.0 K
required from medium model \""
+ mediumName + "\".");
MM = 1/(Xi[Water]/MMX[Water] + (1.0 - Xi[Water])/MMX[Air]);
p_steam_sat = min(saturationPressure(T), 0.999*p);
X_sat = min(p_steam_sat*k_mair/max(100*Constants.eps, p - p_steam_sat)*(1
- Xi[Water]), 1.0)
"Water content at saturation with respect to actual water content";
X_liquid = max(Xi[Water] - X_sat, 0.0);
X_steam = Xi[Water] - X_liquid;
X_air = 1 - Xi[Water];
h = specificEnthalpy_pTX(
p,
T,
Xi);
R_s = dryair.R_s*(X_air/(1 - X_liquid)) + steam.R_s*X_steam/(1 - X_liquid);
//
u = h - R_s*T;
d = p/(R_s*T);
/* Note, u and d are computed under the assumption that the volume of the liquid
water is negligible with respect to the volume of air and of steam
*/
state.p = p;
state.T = T;
state.X = X;
// these x are per unit mass of DRY air!
x_sat = k_mair*p_steam_sat/max(100*Constants.eps, p - p_steam_sat);
x_water = Xi[Water]/max(X_air, 100*Constants.eps);
phi = p/p_steam_sat*Xi[Water]/(Xi[Water] + k_mair*X_air);
end BaseProperties;
redeclare function setState_pTX
"Return thermodynamic state as function of pressure p, temperature T and composition X"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
input MassFraction X[:]=reference_X "Mass fractions";
output ThermodynamicState state "Thermodynamic state";
algorithm
state := if size(X, 1) == nX then ThermodynamicState(
p=p,
T=T,
X=X) else ThermodynamicState(
p=p,
T=T,
X=cat(
1,
X,
{1 - sum(X)}));
end setState_pTX;
redeclare function setState_phX
"Return thermodynamic state as function of pressure p, specific enthalpy h and composition X"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input MassFraction X[:]=reference_X "Mass fractions";
output ThermodynamicState state "Thermodynamic state";
algorithm
state := if size(X, 1) == nX then ThermodynamicState(
p=p,
T=T_phX(
p,
h,
X),
X=X) else ThermodynamicState(
p=p,
T=T_phX(
p,
h,
X),
X=cat(
1,
X,
{1 - sum(X)}));
end setState_phX;
redeclare function setState_dTX
"Return thermodynamic state as function of density d, temperature T and composition X"
extends Modelica.Icons.Function;
input Density d "Density";
input Temperature T "Temperature";
input MassFraction X[:]=reference_X "Mass fractions";
output ThermodynamicState state "Thermodynamic state";
algorithm
state := if size(X, 1) == nX then ThermodynamicState(
p=d*({steam.R_s,dryair.R_s}*X)*T,
T=T,
X=X) else ThermodynamicState(
p=d*({steam.R_s,dryair.R_s}*cat(
1,
X,
{1 - sum(X)}))*T,
T=T,
X=cat(
1,
X,
{1 - sum(X)}));
end setState_dTX;
redeclare function extends setSmoothState
"Return thermodynamic state so that it smoothly approximates: if x > 0 then state_a else state_b"
algorithm
state := ThermodynamicState(
p=Media.Common.smoothStep(
x,
state_a.p,
state_b.p,
x_small),
T=Media.Common.smoothStep(
x,
state_a.T,
state_b.T,
x_small),
X=Media.Common.smoothStep(
x,
state_a.X,
state_b.X,
x_small));
end setSmoothState;
function Xsaturation
"Return absolute humidity per unit mass of moist air at saturation as a function of the thermodynamic state record"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output MassFraction X_sat "Steam mass fraction of sat. boundary";
algorithm
X_sat := k_mair/(state.p/min(saturationPressure(state.T), 0.999*state.p)
- 1 + k_mair);
end Xsaturation;
function xsaturation
"Return absolute humidity per unit mass of dry air at saturation as a function of the thermodynamic state record"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output MassFraction x_sat "Absolute humidity per unit mass of dry air";
algorithm
x_sat := k_mair*saturationPressure(state.T)/max(100*Constants.eps, state.p
- saturationPressure(state.T));
end xsaturation;
function xsaturation_pT
"Return absolute humidity per unit mass of dry air at saturation as a function of pressure p and temperature T"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
output MassFraction x_sat "Absolute humidity per unit mass of dry air";
algorithm
x_sat := k_mair*saturationPressure(T)/max(100*Constants.eps, p -
saturationPressure(T));
end xsaturation_pT;
function massFraction_pTphi
"Return steam mass fraction as a function of relative humidity phi and temperature T"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
input Real phi "Relative humidity (0 ... 1.0)";
output MassFraction X_steam "Absolute humidity, steam mass fraction";
protected
constant Real k=0.621964713077499 "Ratio of molar masses";
AbsolutePressure psat=saturationPressure(T) "Saturation pressure";
algorithm
X_steam := phi*k/(k*phi + p/psat - phi);
end massFraction_pTphi;
function relativeHumidity_pTX
"Return relative humidity as a function of pressure p, temperature T and composition X"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MassFraction[:] X "Composition";
output Real phi "Relative humidity";
protected
SI.Pressure p_steam_sat "Saturation pressure";
SI.MassFraction X_air "Dry air mass fraction";
algorithm
p_steam_sat := min(saturationPressure(T), 0.999*p);
X_air := 1 - X[Water];
phi := max(0.0, min(1.0, p/p_steam_sat*X[Water]/(X[Water] + k_mair*X_air)));
end relativeHumidity_pTX;
function relativeHumidity
"Return relative humidity as a function of the thermodynamic state record"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state";
output Real phi "Relative humidity";
algorithm
phi := relativeHumidity_pTX(
state.p,
state.T,
state.X);
end relativeHumidity;
/*
redeclare function setState_psX "Return thermodynamic state as function of p, s and composition X"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
input MassFraction X[:]=reference_X "Mass fractions";
output ThermodynamicState state;
algorithm
state := if size(X,1) == nX then ThermodynamicState(p=p,T=T_psX(s,p,X),X=X)
else ThermodynamicState(p=p,T=T_psX(p,s,X), X=cat(1,X,{1-sum(X)}));
end setState_psX;
*/
redeclare function extends gasConstant
"Return ideal gas constant as a function from thermodynamic state, only valid for phi<1"
algorithm
R_s := dryair.R_s*(1 - state.X[Water]) + steam.R_s*state.X[Water];
end gasConstant;
function gasConstant_X
"Return ideal gas constant as a function from composition X"
extends Modelica.Icons.Function;
input SI.MassFraction X[:] "Gas phase composition";
output SI.SpecificHeatCapacity R_s "Ideal gas constant";
algorithm
R_s := dryair.R_s*(1 - X[Water]) + steam.R_s*X[Water];
end gasConstant_X;
function saturationPressureLiquid
"Return saturation pressure of water as a function of temperature T in the range of 273.16 to 647.096 K"
extends Modelica.Icons.Function;
input SI.Temperature Tsat "Saturation temperature";
output SI.AbsolutePressure psat "Saturation pressure";
protected
SI.Temperature Tcritical=647.096 "Critical temperature";
SI.AbsolutePressure pcritical=22.064e6 "Critical pressure";
Real r1=(1 - Tsat/Tcritical) "Common subexpression";
Real a[:]={-7.85951783,1.84408259,-11.7866497,22.6807411,-15.9618719,
1.80122502} "Coefficients a[:]";
Real n[:]={1.0,1.5,3.0,3.5,4.0,7.5} "Coefficients n[:]";
algorithm
psat := exp(((a[1]*r1^n[1] + a[2]*r1^n[2] + a[3]*r1^n[3] + a[4]*r1^n[4]
+ a[5]*r1^n[5] + a[6]*r1^n[6])*Tcritical)/Tsat)*pcritical;
end saturationPressureLiquid;
function saturationPressureLiquid_der
"Derivative function for 'saturationPressureLiquid'"
extends Modelica.Icons.Function;
input SI.Temperature Tsat "Saturation temperature";
input SI.TemperatureSlope dTsat "Saturation temperature derivative";
output SI.PressureSlope psat_der "Saturation pressure derivative";
protected
SI.Temperature Tcritical=647.096 "Critical temperature";
SI.AbsolutePressure pcritical=22.064e6 "Critical pressure";
Real r1=(1 - Tsat/Tcritical) "Common subexpression 1";
Real r1_der=-1/Tcritical*dTsat "Derivative of common subexpression 1";
Real a[:]={-7.85951783,1.84408259,-11.7866497,22.6807411,-15.9618719,
1.80122502} "Coefficients a[:]";
Real n[:]={1.0,1.5,3.0,3.5,4.0,7.5} "Coefficients n[:]";
Real r2=(a[1]*r1^n[1] + a[2]*r1^n[2] + a[3]*r1^n[3] + a[4]*r1^n[4] + a[5]
*r1^n[5] + a[6]*r1^n[6]) "Common subexpression 2";
algorithm
// Approach used here is based on Baehr: "Thermodynamik", 12th edition p.204ff, "Method of Wagner"
//psat := exp(((a[1]*r1^n[1] + a[2]*r1^n[2] + a[3]*r1^n[3] + a[4]*r1^n[4] + a[5]*r1^n[5] + a[6]*r1^n[6])*Tcritical)/Tsat) * pcritical;
psat_der := exp((r2*Tcritical)/Tsat)*pcritical*((a[1]*(r1^(n[1] - 1)*n[1]
*r1_der) + a[2]*(r1^(n[2] - 1)*n[2]*r1_der) + a[3]*(r1^(n[3] - 1)*n[3]*
r1_der) + a[4]*(r1^(n[4] - 1)*n[4]*r1_der) + a[5]*(r1^(n[5] - 1)*n[5]*
r1_der) + a[6]*(r1^(n[6] - 1)*n[6]*r1_der))*Tcritical/Tsat - r2*
Tcritical*dTsat/Tsat^2);
end saturationPressureLiquid_der;
function sublimationPressureIce
"Return sublimation pressure of water as a function of temperature T between 190 and 273.16 K"
extends Modelica.Icons.Function;
input SI.Temperature Tsat "Sublimation temperature";
output SI.AbsolutePressure psat "Sublimation pressure";
protected
SI.Temperature Ttriple=273.16 "Triple point temperature";
SI.AbsolutePressure ptriple=611.657 "Triple point pressure";
Real r1=Tsat/Ttriple "Common subexpression";
Real a[:]={-13.9281690,34.7078238} "Coefficients a[:]";
Real n[:]={-1.5,-1.25} "Coefficients n[:]";
algorithm
psat := exp(a[1] - a[1]*r1^n[1] + a[2] - a[2]*r1^n[2])*ptriple;
end sublimationPressureIce;
function sublimationPressureIce_der
"Derivative function for 'sublimationPressureIce'"
extends Modelica.Icons.Function;
input SI.Temperature Tsat "Sublimation temperature";
input SI.TemperatureSlope dTsat "Sublimation temperature derivative";
output SI.PressureSlope psat_der "Sublimation pressure derivative";
protected
SI.Temperature Ttriple=273.16 "Triple point temperature";
SI.AbsolutePressure ptriple=611.657 "Triple point pressure";
Real r1=Tsat/Ttriple "Common subexpression 1";
Real r1_der=dTsat/Ttriple "Derivative of common subexpression 1";
Real a[:]={-13.9281690,34.7078238} "Coefficients a[:]";
Real n[:]={-1.5,-1.25} "Coefficients n[:]";
algorithm
//psat := exp(a[1] - a[1]*r1^n[1] + a[2] - a[2]*r1^n[2]) * ptriple;
psat_der := exp(a[1] - a[1]*r1^n[1] + a[2] - a[2]*r1^n[2])*ptriple*(-(a[1]
*(r1^(n[1] - 1)*n[1]*r1_der)) - (a[2]*(r1^(n[2] - 1)*n[2]*r1_der)));
end sublimationPressureIce_der;
redeclare function extends saturationPressure
"Return saturation pressure of water as a function of temperature T between 190 and 647.096 K"
algorithm
psat := Utilities.spliceFunction(
saturationPressureLiquid(Tsat),
sublimationPressureIce(Tsat),
Tsat - 273.16,
1.0);
end saturationPressure;
function saturationPressure_der
"Derivative function for 'saturationPressure'"
extends Modelica.Icons.Function;
input SI.Temperature Tsat "Saturation temperature";
input SI.TemperatureSlope dTsat "Time derivative of saturation temperature";
output SI.PressureSlope psat_der "Time derivative of saturation pressure";
algorithm
/*psat := Utilities.spliceFunction(saturationPressureLiquid(Tsat),sublimationPressureIce(Tsat),Tsat-273.16,1.0);*/
psat_der := Utilities.spliceFunction_der(
saturationPressureLiquid(Tsat),
sublimationPressureIce(Tsat),
Tsat - 273.16,
1.0,
saturationPressureLiquid_der(Tsat=Tsat, dTsat=dTsat),
sublimationPressureIce_der(Tsat=Tsat, dTsat=dTsat),
dTsat,
0);
end saturationPressure_der;
function saturationTemperature
"Return saturation temperature of water as a function of (partial) pressure p"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T_min=190 "Lower boundary of solution";
input SI.Temperature T_max=647 "Upper boundary of solution";
output SI.Temperature T "Saturation temperature";
protected
function f_nonlinear "Solve p(T) for T with given p"
extends Modelica.Math.Nonlinear.Interfaces.partialScalarFunction;
input SI.Pressure p "Pressure";
algorithm
y := saturationPressure(Tsat=u) - p;
end f_nonlinear;
algorithm
T := Modelica.Math.Nonlinear.solveOneNonlinearEquation(
function f_nonlinear(p=p), T_min, T_max);
end saturationTemperature;
redeclare function extends enthalpyOfVaporization
"Return enthalpy of vaporization of water as a function of temperature T, 273.16 to 647.096 K"
protected
Real Tcritical=647.096 "Critical temperature";
Real dcritical=322 "Critical density";
Real pcritical=22.064e6 "Critical pressure";
Real n[:]={1,1.5,3,3.5,4,7.5} "Powers in equation (1)";
Real a[:]={-7.85951783,1.84408259,-11.7866497,22.6807411,-15.9618719,
1.80122502} "Coefficients in equation (1) of [1]";
Real m[:]={1/3,2/3,5/3,16/3,43/3,110/3} "Powers in equation (2)";
Real b[:]={1.99274064,1.09965342,-0.510839303,-1.75493479,-45.5170352,-6.74694450e5}
"Coefficients in equation (2) of [1]";
Real o[:]={2/6,4/6,8/6,18/6,37/6,71/6} "Powers in equation (3)";
Real c[:]={-2.03150240,-2.68302940,-5.38626492,-17.2991605,-44.7586581,-63.9201063}
"Coefficients in equation (3) of [1]";
Real tau=1 - T/Tcritical "Temperature expression";
Real r1=(a[1]*Tcritical*tau^n[1])/T + (a[2]*Tcritical*tau^n[2])/T + (a[3]
*Tcritical*tau^n[3])/T + (a[4]*Tcritical*tau^n[4])/T + (a[5]*
Tcritical*tau^n[5])/T + (a[6]*Tcritical*tau^n[6])/T "Expression 1";
Real r2=a[1]*n[1]*tau^n[1] + a[2]*n[2]*tau^n[2] + a[3]*n[3]*tau^n[3] + a[
4]*n[4]*tau^n[4] + a[5]*n[5]*tau^n[5] + a[6]*n[6]*tau^n[6]
"Expression 2";
Real dp=dcritical*(1 + b[1]*tau^m[1] + b[2]*tau^m[2] + b[3]*tau^m[3] + b[
4]*tau^m[4] + b[5]*tau^m[5] + b[6]*tau^m[6])
"Density of saturated liquid";
Real dpp=dcritical*exp(c[1]*tau^o[1] + c[2]*tau^o[2] + c[3]*tau^o[3] + c[
4]*tau^o[4] + c[5]*tau^o[5] + c[6]*tau^o[6])
"Density of saturated vapor";
algorithm
r0 := -(((dp - dpp)*exp(r1)*pcritical*(r2 + r1*tau))/(dp*dpp*tau))
"Difference of equations (7) and (6)";
end enthalpyOfVaporization;
function HeatCapacityOfWater
"Return specific heat capacity of water (liquid only) as a function of temperature T"
extends Modelica.Icons.Function;
input Temperature T "Temperature";
output SpecificHeatCapacity cp_fl "Specific heat capacity of liquid";
algorithm
cp_fl := 1e3*(4.2166 - (T - 273.15)*(0.0033166 + (T - 273.15)*(0.00010295
- (T - 273.15)*(1.3819e-6 + (T - 273.15)*7.3221e-9))));
end HeatCapacityOfWater;
redeclare function extends enthalpyOfLiquid
"Return enthalpy of liquid water as a function of temperature T(use enthalpyOfWater instead)"
algorithm
h := (T - 273.15)*1e3*(4.2166 - 0.5*(T - 273.15)*(0.0033166 + 0.333333*(T
- 273.15)*(0.00010295 - 0.25*(T - 273.15)*(1.3819e-6 + 0.2*(T - 273.15)
*7.3221e-9))));
end enthalpyOfLiquid;
redeclare function extends enthalpyOfGas
"Return specific enthalpy of gas (air and steam) as a function of temperature T and composition X"
algorithm
h := Modelica.Media.IdealGases.Common.Functions.h_Tlow(
data=steam,
T=T,
refChoice=ReferenceEnthalpy.UserDefined,
h_off=46479.819 + 2501014.5)*X[Water] +
Modelica.Media.IdealGases.Common.Functions.h_Tlow(
data=dryair,
T=T,
refChoice=ReferenceEnthalpy.UserDefined,
h_off=25104.684)*(1.0 - X[Water]);
end enthalpyOfGas;
redeclare function extends enthalpyOfCondensingGas
"Return specific enthalpy of steam as a function of temperature T"
algorithm
h := Modelica.Media.IdealGases.Common.Functions.h_Tlow(
data=steam,
T=T,
refChoice=ReferenceEnthalpy.UserDefined,
h_off=46479.819 + 2501014.5);
end enthalpyOfCondensingGas;
redeclare function extends enthalpyOfNonCondensingGas
"Return specific enthalpy of dry air as a function of temperature T"
algorithm
h := Modelica.Media.IdealGases.Common.Functions.h_Tlow(
data=dryair,
T=T,
refChoice=ReferenceEnthalpy.UserDefined,
h_off=25104.684);
end enthalpyOfNonCondensingGas;
function enthalpyOfWater
"Computes specific enthalpy of water (solid/liquid) near atmospheric pressure from temperature T"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature";
output SI.SpecificEnthalpy h "Specific enthalpy of water";
algorithm
/*simple model assuming constant properties:
heat capacity of liquid water:4200 J/kg
heat capacity of solid water: 2050 J/kg
enthalpy of fusion (liquid=>solid): 333000 J/kg*/
h := Utilities.spliceFunction(
4200*(T - 273.15),
2050*(T - 273.15) - 333000,
T - 273.16,
0.1);
end enthalpyOfWater;
function enthalpyOfWater_der "Derivative function of enthalpyOfWater"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature";
input Real dT(unit="K/s") "Time derivative of temperature";
output Real dh(unit="J/(kg.s)") "Time derivative of specific enthalpy";
algorithm
/*simple model assuming constant properties:
heat capacity of liquid water:4200 J/kg
heat capacity of solid water: 2050 J/kg
enthalpy of fusion (liquid=>solid): 333000 J/kg*/
//h:=Utilities.spliceFunction(4200*(T-273.15),2050*(T-273.15)-333000,T-273.16,0.1);
dh := Utilities.spliceFunction_der(
4200*(T - 273.15),
2050*(T - 273.15) - 333000,
T - 273.16,
0.1,
4200*dT,
2050*dT,
dT,
0);
end enthalpyOfWater_der;
redeclare function extends pressure
"Returns pressure of ideal gas as a function of the thermodynamic state record"
algorithm
p := state.p;
end pressure;
redeclare function extends temperature
"Return temperature of ideal gas as a function of the thermodynamic state record"
algorithm
T := state.T;
end temperature;
function T_phX
"Return temperature as a function of pressure p, specific enthalpy h and composition X"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input MassFraction[:] X "Mass fractions of composition";
output Temperature T "Temperature";
protected
function f_nonlinear "Solve h_pTX(p,T,X) for T with given h"
extends Modelica.Math.Nonlinear.Interfaces.partialScalarFunction;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input MassFraction[:] X "Mass fractions of composition";
algorithm
y := h_pTX(p=p, T=u, X=X) - h;
end f_nonlinear;
algorithm
T := Modelica.Math.Nonlinear.solveOneNonlinearEquation(
function f_nonlinear(p=p, h=h, X=X[1:nXi]), 190, 647);
end T_phX;
redeclare function extends density
"Returns density of ideal gas as a function of the thermodynamic state record"
algorithm
d := state.p/(gasConstant(state)*state.T);
end density;
redeclare function extends specificEnthalpy
"Return specific enthalpy of moist air as a function of the thermodynamic state record"
algorithm
h := h_pTX(
state.p,
state.T,
state.X);
end specificEnthalpy;
function h_pTX
"Return specific enthalpy of moist air as a function of pressure p, temperature T and composition X"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MassFraction X[:] "Mass fractions of moist air";
output SI.SpecificEnthalpy h "Specific enthalpy at p, T, X";
protected
SI.AbsolutePressure p_steam_sat "Partial saturation pressure of steam";
SI.MassFraction X_sat "Absolute humidity per unit mass of moist air";
SI.MassFraction X_liquid "Mass fraction of liquid water";
SI.MassFraction X_steam "Mass fraction of steam water";
SI.MassFraction X_air "Mass fraction of air";
algorithm
p_steam_sat := saturationPressure(T);
//p_steam_sat :=min(saturationPressure(T), 0.999*p);
X_sat := min(p_steam_sat*k_mair/max(100*Constants.eps, p - p_steam_sat)*(
1 - X[Water]), 1.0);
X_liquid := max(X[Water] - X_sat, 0.0);
X_steam := X[Water] - X_liquid;
X_air := 1 - X[Water];
/* h := {SingleGasNasa.h_Tlow(data=steam, T=T, refChoice=ReferenceEnthalpy.UserDefined, h_off=46479.819+2501014.5),
SingleGasNasa.h_Tlow(data=dryair, T=T, refChoice=ReferenceEnthalpy.UserDefined, h_off=25104.684)}*
{X_steam, X_air} + enthalpyOfLiquid(T)*X_liquid;*/
h := {Modelica.Media.IdealGases.Common.Functions.h_Tlow(
data=steam,
T=T,
refChoice=ReferenceEnthalpy.UserDefined,
h_off=46479.819 + 2501014.5),
Modelica.Media.IdealGases.Common.Functions.h_Tlow(
data=dryair,
T=T,
refChoice=ReferenceEnthalpy.UserDefined,
h_off=25104.684)}*{X_steam,X_air} + enthalpyOfWater(T)*X_liquid;
end h_pTX;
function h_pTX_der "Derivative function of h_pTX"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MassFraction X[:] "Mass fractions of moist air";
input SI.PressureSlope dp "Pressure derivative";
input SI.TemperatureSlope dT "Temperature derivative";
input Real dX[:](each unit="1/s") "Composition derivative";
output Real h_der(unit="J/(kg.s)") "Time derivative of specific enthalpy";
protected
SI.AbsolutePressure p_steam_sat "Partial saturation pressure of steam";
SI.MassFraction X_sat "Absolute humidity per unit mass of moist air";
SI.MassFraction X_liquid "Mass fraction of liquid water";
SI.MassFraction X_steam "Mass fraction of steam water";
SI.MassFraction X_air "Mass fraction of air";
SI.MassFraction x_sat
"Absolute humidity per unit mass of dry air at saturation";
Real dX_steam(unit="1/s") "Time derivative of steam mass fraction";
Real dX_air(unit="1/s") "Time derivative of dry air mass fraction";
Real dX_liq(unit="1/s")
"Time derivative of liquid/solid water mass fraction";
SI.PressureSlope dps "Time derivative of saturation pressure";
Real dx_sat(unit="1/s")
"Time derivative of absolute humidity per unit mass of dry air";
algorithm
p_steam_sat := saturationPressure(T);
x_sat := p_steam_sat*k_mair/max(100*Modelica.Constants.eps, p -
p_steam_sat);
X_sat := min(x_sat*(1 - X[Water]), 1.0);
X_liquid := Utilities.smoothMax(
X[Water] - X_sat,
0.0,
1e-5);
X_steam := X[Water] - X_liquid;
X_air := 1 - X[Water];
dX_air := -dX[Water];
dps := saturationPressure_der(Tsat=T, dTsat=dT);
dx_sat := k_mair*(dps*(p - p_steam_sat) - p_steam_sat*(dp - dps))/(p -
p_steam_sat)/(p - p_steam_sat);
dX_liq := Utilities.smoothMax_der(
X[Water] - X_sat,
0.0,
1e-5,
(1 + x_sat)*dX[Water] - (1 - X[Water])*dx_sat,
0,
0);
dX_steam := dX[Water] - dX_liq;
h_der := X_steam*Modelica.Media.IdealGases.Common.Functions.h_Tlow_der(
data=steam,
T=T,
refChoice=ReferenceEnthalpy.UserDefined,
h_off=46479.819 + 2501014.5,
dT=dT) + dX_steam*Modelica.Media.IdealGases.Common.Functions.h_Tlow(
data=steam,
T=T,
refChoice=ReferenceEnthalpy.UserDefined,
h_off=46479.819 + 2501014.5) + X_air*
Modelica.Media.IdealGases.Common.Functions.h_Tlow_der(
data=dryair,
T=T,
refChoice=ReferenceEnthalpy.UserDefined,
h_off=25104.684,
dT=dT) + dX_air*Modelica.Media.IdealGases.Common.Functions.h_Tlow(
data=dryair,
T=T,
refChoice=ReferenceEnthalpy.UserDefined,
h_off=25104.684) + X_liquid*enthalpyOfWater_der(T=T, dT=dT) +
dX_liq*enthalpyOfWater(T);
end h_pTX_der;
redeclare function extends isentropicExponent
"Return isentropic exponent (only for gas fraction!)"
algorithm
gamma := specificHeatCapacityCp(state)/specificHeatCapacityCv(state);
end isentropicExponent;
function isentropicEnthalpyApproximation
"Approximate calculation of h_is from upstream properties, downstream pressure, gas part only"
extends Modelica.Icons.Function;
input AbsolutePressure p2 "Downstream pressure";
input ThermodynamicState state "Thermodynamic state at upstream location";
output SpecificEnthalpy h_is "Isentropic enthalpy";
protected
SpecificEnthalpy h "Specific enthalpy at upstream location";
IsentropicExponent gamma=isentropicExponent(state) "Isentropic exponent";
protected
MassFraction[nX] X "Complete X-vector";
algorithm
X := state.X;
// X := if reducedX then cat(1,state.X,{1-sum(state.X)}) else state.X;
h := {Modelica.Media.IdealGases.Common.Functions.h_Tlow(
data=steam,
T=state.T,
refChoice=ReferenceEnthalpy.UserDefined,
h_off=46479.819 + 2501014.5),
Modelica.Media.IdealGases.Common.Functions.h_Tlow(
data=dryair,
T=state.T,
refChoice=ReferenceEnthalpy.UserDefined,
h_off=25104.684)}*X;
h_is := h + gamma/(gamma - 1.0)*(state.T*gasConstant(state))*((p2/state.p)
^((gamma - 1)/gamma) - 1.0);
end isentropicEnthalpyApproximation;
redeclare function extends specificInternalEnergy
"Return specific internal energy of moist air as a function of the thermodynamic state record"
extends Modelica.Icons.Function;
algorithm
u := specificInternalEnergy_pTX(
state.p,
state.T,
state.X);
end specificInternalEnergy;
function specificInternalEnergy_pTX
"Return specific internal energy of moist air as a function of pressure p, temperature T and composition X"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MassFraction X[:] "Mass fractions of moist air";
output SI.SpecificInternalEnergy u "Specific internal energy";
protected
SI.AbsolutePressure p_steam_sat "Partial saturation pressure of steam";
SI.MassFraction X_liquid "Mass fraction of liquid water";
SI.MassFraction X_steam "Mass fraction of steam water";
SI.MassFraction X_air "Mass fraction of air";
SI.MassFraction X_sat "Absolute humidity per unit mass of moist air";
SI.SpecificHeatCapacity R_gas "Ideal gas constant";
algorithm
p_steam_sat := saturationPressure(T);
X_sat := min(p_steam_sat*k_mair/max(100*Constants.eps, p - p_steam_sat)*(
1 - X[Water]), 1.0);
X_liquid := max(X[Water] - X_sat, 0.0);
X_steam := X[Water] - X_liquid;
X_air := 1 - X[Water];
R_gas := dryair.R_s*X_air/(1 - X_liquid) + steam.R_s*X_steam/(1 - X_liquid);
u := X_steam*Modelica.Media.IdealGases.Common.Functions.h_Tlow(
data=steam,
T=T,
refChoice=ReferenceEnthalpy.UserDefined,
h_off=46479.819 + 2501014.5) + X_air*
Modelica.Media.IdealGases.Common.Functions.h_Tlow(
data=dryair,
T=T,
refChoice=ReferenceEnthalpy.UserDefined,
h_off=25104.684) + enthalpyOfWater(T)*X_liquid - R_gas*T;
end specificInternalEnergy_pTX;
function specificInternalEnergy_pTX_der
"Derivative function for specificInternalEnergy_pTX"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MassFraction X[:] "Mass fractions of moist air";
input SI.PressureSlope dp "Pressure derivative";
input SI.TemperatureSlope dT "Temperature derivative";
input Real dX[:](each unit="1/s") "Mass fraction derivatives";
output Real u_der(unit="J/(kg.s)") "Specific internal energy derivative";
protected
SI.AbsolutePressure p_steam_sat "Partial saturation pressure of steam";
SI.MassFraction X_liquid "Mass fraction of liquid water";
SI.MassFraction X_steam "Mass fraction of steam water";
SI.MassFraction X_air "Mass fraction of air";
SI.MassFraction X_sat "Absolute humidity per unit mass of moist air";
SI.SpecificHeatCapacity R_gas "Ideal gas constant";
SI.MassFraction x_sat
"Absolute humidity per unit mass of dry air at saturation";
Real dX_steam(unit="1/s") "Time derivative of steam mass fraction";
Real dX_air(unit="1/s") "Time derivative of dry air mass fraction";
Real dX_liq(unit="1/s")
"Time derivative of liquid/solid water mass fraction";
SI.PressureSlope dps "Time derivative of saturation pressure";
Real dx_sat(unit="1/s")
"Time derivative of absolute humidity per unit mass of dry air";
Real dR_gas(unit="J/(kg.K.s)") "Time derivative of ideal gas constant";
algorithm
p_steam_sat := saturationPressure(T);
x_sat := p_steam_sat*k_mair/max(100*Modelica.Constants.eps, p -
p_steam_sat);
X_sat := min(x_sat*(1 - X[Water]), 1.0);
X_liquid := Utilities.spliceFunction(
X[Water] - X_sat,
0.0,
X[Water] - X_sat,
1e-6);
X_steam := X[Water] - X_liquid;
X_air := 1 - X[Water];
R_gas := steam.R_s*X_steam/(1 - X_liquid) + dryair.R_s*X_air/(1 - X_liquid);
dX_air := -dX[Water];
dps := saturationPressure_der(Tsat=T, dTsat=dT);
dx_sat := k_mair*(dps*(p - p_steam_sat) - p_steam_sat*(dp - dps))/(p -
p_steam_sat)/(p - p_steam_sat);
dX_liq := Utilities.spliceFunction_der(
X[Water] - X_sat,
0.0,
X[Water] - X_sat,
1e-6,
(1 + x_sat)*dX[Water] - (1 - X[Water])*dx_sat,
0.0,
(1 + x_sat)*dX[Water] - (1 - X[Water])*dx_sat,
0.0);
dX_steam := dX[Water] - dX_liq;
dR_gas := (steam.R_s*(dX_steam*(1 - X_liquid) + dX_liq*X_steam) + dryair.R_s*
(dX_air*(1 - X_liquid) + dX_liq*X_air))/(1 - X_liquid)/(1 - X_liquid);
u_der := X_steam*Modelica.Media.IdealGases.Common.Functions.h_Tlow_der(
data=steam,
T=T,
refChoice=ReferenceEnthalpy.UserDefined,
h_off=46479.819 + 2501014.5,
dT=dT) + dX_steam*Modelica.Media.IdealGases.Common.Functions.h_Tlow(
data=steam,
T=T,
refChoice=ReferenceEnthalpy.UserDefined,
h_off=46479.819 + 2501014.5) + X_air*
Modelica.Media.IdealGases.Common.Functions.h_Tlow_der(
data=dryair,
T=T,
refChoice=ReferenceEnthalpy.UserDefined,
h_off=25104.684,
dT=dT) + dX_air*Modelica.Media.IdealGases.Common.Functions.h_Tlow(
data=dryair,
T=T,
refChoice=ReferenceEnthalpy.UserDefined,
h_off=25104.684) + X_liquid*enthalpyOfWater_der(T=T, dT=dT) +
dX_liq*enthalpyOfWater(T) - dR_gas*T - R_gas*dT;
end specificInternalEnergy_pTX_der;
redeclare function extends specificEntropy
"Return specific entropy from thermodynamic state record, only valid for phi<1"
algorithm
s := s_pTX(
state.p,
state.T,
state.X);
end specificEntropy;
redeclare function extends specificGibbsEnergy
"Return specific Gibbs energy as a function of the thermodynamic state record, only valid for phi<1"
extends Modelica.Icons.Function;
algorithm
g := h_pTX(
state.p,
state.T,
state.X) - state.T*specificEntropy(state);
end specificGibbsEnergy;
redeclare function extends specificHelmholtzEnergy
"Return specific Helmholtz energy as a function of the thermodynamic state record, only valid for phi<1"
extends Modelica.Icons.Function;
algorithm
f := h_pTX(
state.p,
state.T,
state.X) - gasConstant(state)*state.T - state.T*specificEntropy(
state);
end specificHelmholtzEnergy;
redeclare function extends specificHeatCapacityCp
"Return specific heat capacity at constant pressure as a function of the thermodynamic state record"
protected
Real dT(unit="s/K") = 1.0;
algorithm
cp := h_pTX_der(
state.p,
state.T,
state.X,
0.0,
1.0,
zeros(size(state.X, 1)))*dT "Definition of cp: dh/dT @ constant p";
// cp:= SingleGasNasa.cp_Tlow(dryair, state.T)*(1-state.X[Water])
// + SingleGasNasa.cp_Tlow(steam, state.T)*state.X[Water];
end specificHeatCapacityCp;
redeclare function extends specificHeatCapacityCv
"Return specific heat capacity at constant volume as a function of the thermodynamic state record"
algorithm
cv := Modelica.Media.IdealGases.Common.Functions.cp_Tlow(dryair, state.T)
*(1 - state.X[Water]) +
Modelica.Media.IdealGases.Common.Functions.cp_Tlow(steam, state.T)*
state.X[Water] - gasConstant(state);
end specificHeatCapacityCv;
redeclare function extends dynamicViscosity
"Return dynamic viscosity as a function of the thermodynamic state record, valid from 123.15 K to 1273.15 K"
import Modelica.Math.Polynomials;
algorithm
eta := 1e-6*Polynomials.evaluateWithRange(
{9.7391102886305869E-15,-3.1353724870333906E-11,4.3004876595642225E-08,
-3.8228016291758240E-05,5.0427874367180762E-02,1.7239260139242528E+01},
Cv.to_degC(123.15),
Cv.to_degC(1273.15),
Cv.to_degC(state.T));
end dynamicViscosity;
redeclare function extends thermalConductivity
"Return thermal conductivity as a function of the thermodynamic state record, valid from 123.15 K to 1273.15 K"
import Modelica.Math.Polynomials;
algorithm
lambda := 1e-3*Polynomials.evaluateWithRange(
{6.5691470817717812E-15,-3.4025961923050509E-11,5.3279284846303157E-08,
-4.5340839289219472E-05,7.6129675309037664E-02,2.4169481088097051E+01},
Cv.to_degC(123.15),
Cv.to_degC(1273.15),
Cv.to_degC(state.T));
end thermalConductivity;
redeclare function extends velocityOfSound
algorithm
a := sqrt(isentropicExponent(state)*gasConstant(state)*temperature(state));
end velocityOfSound;
redeclare function extends isobaricExpansionCoefficient
algorithm
beta := 1/temperature(state);
end isobaricExpansionCoefficient;
redeclare function extends isothermalCompressibility
algorithm
kappa := 1/pressure(state);
end isothermalCompressibility;
redeclare function extends density_derp_h
algorithm
ddph := 1/(gasConstant(state)*temperature(state));
end density_derp_h;
redeclare function extends density_derh_p
algorithm
ddhp := -density(state)/(specificHeatCapacityCp(state)*temperature(state));
end density_derh_p;
redeclare function extends density_derp_T
algorithm
ddpT := 1/(gasConstant(state)*temperature(state));
end density_derp_T;
redeclare function extends density_derT_p
algorithm
ddTp := -density(state)/temperature(state);
end density_derT_p;
redeclare function extends density_derX
algorithm
dddX[Water] := - pressure(state)*(steam.R_s - dryair.R_s)/(((steam.R_s - dryair.R_s)
*state.X[Water] + dryair.R_s)^2*temperature(state));
dddX[Air] := - pressure(state)*(dryair.R_s - steam.R_s)/((steam.R_s + (dryair.R_s - steam.R_s)*
state.X[Air])^2*temperature(state));
end density_derX;
redeclare function extends molarMass
algorithm
MM := Modelica.Constants.R/Modelica.Media.Air.MoistAir.gasConstant(state);
end molarMass;
function T_psX
"Return temperature as a function of pressure p, specific entropy s and composition X"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
input MassFraction[:] X "Mass fractions of composition";
output Temperature T "Temperature";
protected
function f_nonlinear "Solve s_pTX(p,T,X) for T with given s"
extends Modelica.Math.Nonlinear.Interfaces.partialScalarFunction;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
input MassFraction[:] X "Mass fractions of composition";
algorithm
y := s_pTX(p=p, T=u, X=X) - s;
end f_nonlinear;
algorithm
T := Modelica.Math.Nonlinear.solveOneNonlinearEquation(
function f_nonlinear(p=p, s=s, X=X[1:nX]), 190, 647);
end T_psX;
redeclare function extends setState_psX
algorithm
state := if size(X, 1) == nX then ThermodynamicState(
p=p,
T=T_psX(
p,
s,
X),
X=X) else ThermodynamicState(
p=p,
T=T_psX(
p,
s,
X),
X=cat(
1,
X,
{1 - sum(X)}));
end setState_psX;
function s_pTX
"Return specific entropy of moist air as a function of pressure p, temperature T and composition X (only valid for phi<1)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MassFraction X[:] "Mass fractions of moist air";
output SI.SpecificEntropy s "Specific entropy at p, T, X";
protected
MoleFraction[2] Y=massToMoleFractions(X, {steam.MM,dryair.MM})
"Molar fraction";
algorithm
s:= Modelica.Media.IdealGases.Common.Functions.s0_Tlow(dryair, T)*(1 - X[Water])
+ Modelica.Media.IdealGases.Common.Functions.s0_Tlow(steam, T)*X[Water]
- Modelica.Constants.R*(Utilities.smoothMax(X[Water]/MMX[Water],0.0,1e-9)*Modelica.Math.log(max(Y[Water], Modelica.Constants.eps)*p/reference_p)
+ Utilities.smoothMax((1 - X[Water])/MMX[Air],0.0,1e-9)*Modelica.Math.log(max(Y[Air], Modelica.Constants.eps)*p/reference_p));
end s_pTX;
function s_pTX_der
"Return specific entropy of moist air as a function of pressure p, temperature T and composition X (only valid for phi<1)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MassFraction X[:] "Mass fractions of moist air";
input SI.PressureSlope dp "Derivative of pressure";
input SI.TemperatureSlope dT "Derivative of temperature";
input Real dX[nX](each unit="1/s") "Derivative of mass fractions";
output Real ds(unit="J/(kg.K.s)") "Specific entropy at p, T, X";
protected
MoleFraction[2] Y=massToMoleFractions(X, {steam.MM,dryair.MM})
"Molar fraction";
MolarMass MM "Molar mass";
algorithm
MM := MMX[Water]*MMX[Air]/(X[Water]*MMX[Air] + X[Air]*MMX[Water]);
ds := IdealGases.Common.Functions.s0_Tlow_der(
dryair,
T,
dT)*(1 - X[Water]) + IdealGases.Common.Functions.s0_Tlow_der(
steam,
T,
dT)*X[Water] + Modelica.Media.IdealGases.Common.Functions.s0_Tlow(dryair, T)*dX[Air] + Modelica.Media.IdealGases.Common.Functions.s0_Tlow(steam, T)*dX[Water] - Modelica.Constants.R*(1/MMX[Water]*(Utilities.smoothMax_der(
X[Water],
0.0,
1e-9,
dX[Water],
0.0,
0.0)*(Modelica.Math.log(max(Y[Water], Modelica.Constants.eps)*p/reference_p) + MM/MMX[Air]) + dp/p*Utilities.smoothMax(
X[Water],
0.0,
1e-9)) + 1/MMX[Air]*(Utilities.smoothMax_der(
X[Air],
0.0,
1e-9,
dX[Air],
0.0,
0.0)*(Modelica.Math.log(max(Y[Air], Modelica.Constants.eps)*p/reference_p) + MM/MMX[Water]) + dp/p*Utilities.smoothMax(
X[Air],
0.0,
1e-9)));
end s_pTX_der;
redeclare function extends isentropicEnthalpy
"Isentropic enthalpy (only valid for phi<1)"
extends Modelica.Icons.Function;
algorithm
h_is := Modelica.Media.Air.MoistAir.h_pTX(
p_downstream,
Modelica.Media.Air.MoistAir.T_psX(
p_downstream,
Modelica.Media.Air.MoistAir.specificEntropy(refState),
refState.X),
refState.X);
end isentropicEnthalpy;
package Utilities "Utility functions"
extends Modelica.Icons.UtilitiesPackage;
function spliceFunction "Spline interpolation of two functions"
extends Modelica.Icons.Function;
input Real pos "Returned value for x-deltax >= 0";
input Real neg "Returned value for x+deltax <= 0";
input Real x "Function argument";
input Real deltax=1 "Region around x with spline interpolation";
output Real out;
protected
constant Real lim = 0.9999999999 "Limit in criterion for smoothing range";
Real scaledX1 "x scaled to -1 ... 1 interval";
Real scaledXp "x scaled to -pi/2 ... pi/2 interval";
Real scaledXt "x scaled to -inf ... inf interval";
Real y;
algorithm
scaledX1 := x/deltax;
if scaledX1 <= -lim then
y := 0.0;
elseif scaledX1 >= lim then
y := 1.0;
else
scaledXp := scaledX1*0.5*Modelica.Constants.pi;
scaledXt := Modelica.Math.tan(scaledXp);
y := 0.5*Modelica.Math.tanh(scaledXt) + 0.5;
end if;
out := pos*y + (1.0 - y)*neg;
end spliceFunction;
function spliceFunction_der "Derivative of spliceFunction"
extends Modelica.Icons.Function;
input Real pos;
input Real neg;
input Real x;
input Real deltax=1;
input Real dpos;
input Real dneg;
input Real dx;
input Real ddeltax=0;
output Real out;
protected
constant Real lim = 0.9999999999 "Limit in criterion for smoothing range";
Real scaledX1 "x scaled to -1 ... 1 interval";
Real scaledXp "x scaled to -pi/2 ... pi/2 interval";
Real scaledXt "x scaled to -inf ... inf interval";
Real dscaledX1;
Real y;
algorithm
scaledX1 := x/deltax;
if scaledX1 <= -lim then
y := 0.0;
elseif scaledX1 >= lim then
y := 1.0;
else
scaledXp := scaledX1*0.5*Modelica.Constants.pi;
scaledXt := Modelica.Math.tan(scaledXp);
y := 0.5*Modelica.Math.tanh(scaledXt) + 0.5;
end if;
out := dpos*y + (1 - y)*dneg;
if (abs(scaledX1) < lim) then
dscaledX1 := (dx - scaledX1*ddeltax)/deltax;
out := out + (pos - neg)*dscaledX1*0.25*Modelica.Constants.pi*(1 - Modelica.Math.tanh(scaledXt)^2)*(scaledXt^2 + 1);
end if;
end spliceFunction_der;
function smoothMax
extends Modelica.Icons.Function;
import Modelica.Math;
input Real x1 "First argument of smooth max operator";
input Real x2 "Second argument of smooth max operator";
input Real dx
"Approximate difference between x1 and x2, below which regularization starts";
output Real y "Result of smooth max operator";
algorithm
y := max(x1, x2) + Math.log((exp((4/dx)*(x1 - max(x1, x2)))) + (exp((4/
dx)*(x2 - max(x1, x2)))))/(4/dx);
end smoothMax;
function smoothMax_der
extends Modelica.Icons.Function;
import Modelica.Math.exp;
import Modelica.Math.log;
input Real x1 "First argument of smooth max operator";
input Real x2 "Second argument of smooth max operator";
input Real dx
"Approximate difference between x1 and x2, below which regularization starts";
input Real dx1;
input Real dx2;
input Real ddx;
output Real dy "Derivative of smooth max operator";
algorithm
dy := (if x1 > x2 then dx1 else dx2) + 0.25*(((4*(dx1 - (if x1 > x2
then dx1 else dx2))/dx - 4*(x1 - max(x1, x2))*ddx/dx^2)*exp(4*(x1 -
max(x1, x2))/dx) + (4*(dx2 - (if x1 > x2 then dx1 else dx2))/dx - 4*(
x2 - max(x1, x2))*ddx/dx^2)*exp(4*(x2 - max(x1, x2))/dx))*dx/(exp(4*(
x1 - max(x1, x2))/dx) + exp(4*(x2 - max(x1, x2))/dx)) + log(exp(4*(x1
- max(x1, x2))/dx) + exp(4*(x2 - max(x1, x2))/dx))*ddx);
end smoothMax_der;
end Utilities;
end MoistAir; |
Medium models for air | within Modelica.Media;
package Air "Medium models for air"
extends Modelica.Icons.VariantsPackage;
end Air; |
ReferenceAir: Detailed dry air model with a large operating range (130 ... 2000 K, 0 ... 2000 MPa) based on Helmholtz equations of state | within Modelica.Media.Air;
package ReferenceAir
"ReferenceAir: Detailed dry air model with a large operating range (130 ... 2000 K, 0 ... 2000 MPa) based on Helmholtz equations of state"
extends Modelica.Icons.VariantsPackage;
constant Modelica.Media.Interfaces.Types.TwoPhase.FluidConstants
airConstants(
chemicalFormula="N2+O2+Ar",
structureFormula="N2+O2+Ar",
casRegistryNumber="1",
iupacName="air",
molarMass=0.02896546,
criticalTemperature=132.5306,
criticalPressure=3.786e6,
criticalMolarVolume=0.02896546/342.68,
triplePointTemperature=63.05 "From N2",
triplePointPressure=0.1253e5 "From N2",
normalBoilingPoint=78.903,
meltingPoint=0,
acentricFactor=0.0335,
dipoleMoment=0.0,
hasCriticalData=true,
hasFundamentalEquation=true,
hasAccurateViscosityData=true,
hasAcentricFactor=true);
protected
type MolarHeatCapacity = SI.MolarHeatCapacity (
min=0,
max=3.e5,
nominal=3.e1,
start=3.e1)
"Type for molar heat capacity with medium specific attributes";
type MolarDensity = Real (
final quantity="MolarDensity",
final unit="mol/m3",
min=0);
type IsothermalExpansionCoefficient = Real (
min=0,
max=1e8,
unit="1");
public
package Air_ph
"ReferenceAir.Air_ph: Detailed dry air model (130 ... 2000 K) explicit in p and h"
extends Modelica.Icons.MaterialProperty;
extends Modelica.Media.Air.ReferenceAir.Air_Base(
ThermoStates=Modelica.Media.Interfaces.Choices.IndependentVariables.ph,
final ph_explicit=true,
final dT_explicit=false,
final pT_explicit=false);
end Air_ph;
package Air_pT
"ReferenceAir.Air_pT: Detailed dry air model (130 ... 2000 K) explicit in p and T"
extends Modelica.Icons.MaterialProperty;
extends Modelica.Media.Air.ReferenceAir.Air_Base(
ThermoStates=Modelica.Media.Interfaces.Choices.IndependentVariables.pT,
final ph_explicit=false,
final dT_explicit=false,
final pT_explicit=true);
end Air_pT;
public
package Air_dT
"ReferenceAir.Air_dT: Detailed dry air model (130 ... 2000 K) explicit in d and T"
extends Modelica.Icons.MaterialProperty;
extends Modelica.Media.Air.ReferenceAir.Air_Base(
ThermoStates=Modelica.Media.Interfaces.Choices.IndependentVariables.dTX,
final ph_explicit=false,
final dT_explicit=true,
final pT_explicit=false);
end Air_dT;
public
partial package Air_Base
"Properties of dry air calculated using the equation of state by Lemmon et. al."
extends Modelica.Media.Interfaces.PartialPureSubstance(
mediumName="Air",
substanceNames={"air"},
singleState=false,
SpecificEnthalpy(start=1.0e5, nominal=5.0e5),
Density(start=1.0, nominal=1.2),
AbsolutePressure(
start=1e5,
nominal=1e5,
min=1.0,
max=2000e6),
Temperature(
start=273.15,
nominal=293.15,
min=130,
max=2000));
constant Boolean ph_explicit
"True if explicit in pressure and specific enthalpy";
constant Boolean dT_explicit
"True if explicit in density and temperature";
constant Boolean pT_explicit
"True if explicit in pressure and temperature";
redeclare record extends ThermodynamicState "Thermodynamic state"
SpecificEnthalpy h "Specific enthalpy";
Density d "Density";
Temperature T "Temperature";
AbsolutePressure p "Pressure";
end ThermodynamicState;
redeclare model extends BaseProperties(
h(stateSelect=if ph_explicit and preferredMediumStates then StateSelect.prefer
else StateSelect.default),
d(stateSelect=if dT_explicit and preferredMediumStates then StateSelect.prefer
else StateSelect.default),
T(stateSelect=if (pT_explicit or dT_explicit) and preferredMediumStates
then StateSelect.prefer else StateSelect.default),
p(stateSelect=if (pT_explicit or ph_explicit) and preferredMediumStates
then StateSelect.prefer else StateSelect.default))
"Base properties of air"
equation
MM = Air_Utilities.Basic.Constants.MM;
if dT_explicit then
p = pressure_dT(d, T);
h = specificEnthalpy_dT(d, T);
elseif ph_explicit then
d = density_ph(p, h);
T = temperature_ph(p, h);
else
h = specificEnthalpy_pT(p, T);
d = density_pT(p, T);
end if;
u = h - p/d;
R_s = Air_Utilities.Basic.Constants.R_s;
h = state.h;
p = state.p;
T = state.T;
d = state.d;
end BaseProperties;
redeclare function density_ph
"Computes density as a function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
output Density d "Density";
algorithm
d := Air_Utilities.rho_ph(p, h);
end density_ph;
redeclare function temperature_ph
"Computes temperature as a function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
output Temperature T "Temperature";
algorithm
T := Air_Utilities.T_ph(p, h);
end temperature_ph;
redeclare function temperature_ps
"Compute temperature from pressure and specific enthalpy"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
output Temperature T "Temperature";
algorithm
T := Air_Utilities.T_ps(p, s);
end temperature_ps;
redeclare function density_ps
"Computes density as a function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
output Density d "Density";
algorithm
d := Air_Utilities.rho_ps(p, s);
end density_ps;
redeclare function pressure_dT
"Computes pressure as a function of density and temperature"
extends Modelica.Icons.Function;
input Density d "Density";
input Temperature T "Temperature";
output AbsolutePressure p "Pressure";
algorithm
p := Air_Utilities.p_dT(d, T);
end pressure_dT;
redeclare function specificEnthalpy_dT
"Computes specific enthalpy as a function of density and temperature"
extends Modelica.Icons.Function;
input Density d "Density";
input Temperature T "Temperature";
output SpecificEnthalpy h "Specific enthalpy";
algorithm
h := Air_Utilities.h_dT(d, T);
end specificEnthalpy_dT;
redeclare function specificEnthalpy_pT
"Computes specific enthalpy as a function of pressure and temperature"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
output SpecificEnthalpy h "Specific enthalpy";
algorithm
h := Air_Utilities.h_pT(p, T);
end specificEnthalpy_pT;
redeclare function specificEnthalpy_ps
"Computes specific enthalpy as a function of pressure and temperature"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
output SpecificEnthalpy h "Specific enthalpy";
algorithm
h := Air_Utilities.h_ps(p, s);
end specificEnthalpy_ps;
redeclare function density_pT
"Computes density as a function of pressure and temperature"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
output Density d "Density";
algorithm
d := Air_Utilities.rho_pT(p, T);
end density_pT;
redeclare function extends dynamicViscosity
"Return dynamic viscosity as a function of the thermodynamic state record"
algorithm
eta := Air_Utilities.Transport.eta_dT(state.d, state.T);
end dynamicViscosity;
redeclare function extends thermalConductivity
"Thermal conductivity of air"
algorithm
lambda := Air_Utilities.Transport.lambda_dT(state.d, state.T);
end thermalConductivity;
redeclare function extends pressure "Return pressure of ideal gas"
algorithm
p := state.p;
end pressure;
redeclare function extends temperature "Return temperature of ideal gas"
algorithm
T := state.T;
end temperature;
redeclare function extends density "Return density of ideal gas"
algorithm
d := state.d;
end density;
redeclare function extends specificEnthalpy "Return specific enthalpy"
algorithm
h := state.h;
end specificEnthalpy;
redeclare function extends specificInternalEnergy
"Return specific internal energy"
algorithm
u := state.h - state.p/state.d;
end specificInternalEnergy;
redeclare function extends specificGibbsEnergy
"Return specific Gibbs energy"
algorithm
g := state.h - state.T*specificEntropy(state);
end specificGibbsEnergy;
redeclare function extends specificHelmholtzEnergy
"Return specific Helmholtz energy"
algorithm
f := state.h - state.p/state.d - state.T*specificEntropy(state);
end specificHelmholtzEnergy;
redeclare function extends specificEntropy "Specific entropy of air"
algorithm
if dT_explicit then
s := Air_Utilities.s_dT(state.d, state.T);
elseif pT_explicit then
s := Air_Utilities.s_pT(state.p, state.T);
else
s := Air_Utilities.s_ph(state.p, state.h);
end if;
end specificEntropy;
redeclare function extends specificHeatCapacityCp
"Specific heat capacity at constant pressure of air"
algorithm
if dT_explicit then
cp := Air_Utilities.cp_dT(state.d, state.T);
elseif pT_explicit then
cp := Air_Utilities.cp_pT(state.p, state.T);
else
cp := Air_Utilities.cp_ph(state.p, state.h);
end if;
end specificHeatCapacityCp;
redeclare function extends specificHeatCapacityCv
"Specific heat capacity at constant volume of air"
algorithm
if dT_explicit then
cv := Air_Utilities.cv_dT(state.d, state.T);
elseif pT_explicit then
cv := Air_Utilities.cv_pT(state.p, state.T);
else
cv := Air_Utilities.cv_ph(state.p, state.h);
end if;
end specificHeatCapacityCv;
redeclare function extends isentropicExponent
"Return isentropic exponent"
algorithm
if dT_explicit then
gamma := Air_Utilities.isentropicExponent_dT(state.d, state.T);
elseif pT_explicit then
gamma := Air_Utilities.isentropicExponent_pT(state.p, state.T);
else
gamma := Air_Utilities.isentropicExponent_ph(state.p, state.h);
end if;
end isentropicExponent;
redeclare function extends isothermalCompressibility
"Isothermal compressibility of air"
algorithm
if dT_explicit then
kappa := Air_Utilities.kappa_dT(state.d, state.T);
elseif pT_explicit then
kappa := Air_Utilities.kappa_pT(state.p, state.T);
else
kappa := Air_Utilities.kappa_ph(state.p, state.h);
end if;
end isothermalCompressibility;
redeclare function extends isobaricExpansionCoefficient
"Isobaric expansion coefficient of air"
algorithm
if dT_explicit then
beta := Air_Utilities.beta_dT(state.d, state.T);
elseif pT_explicit then
beta := Air_Utilities.beta_pT(state.p, state.T);
else
beta := Air_Utilities.beta_ph(state.p, state.h);
end if;
end isobaricExpansionCoefficient;
redeclare function extends velocityOfSound
"Return velocity of sound as a function of the thermodynamic state record"
algorithm
if dT_explicit then
a := Air_Utilities.velocityOfSound_dT(state.d, state.T);
elseif pT_explicit then
a := Air_Utilities.velocityOfSound_pT(state.p, state.T);
else
a := Air_Utilities.velocityOfSound_ph(state.p, state.h);
end if;
end velocityOfSound;
redeclare function extends density_derh_p
"Density derivative by specific enthalpy"
algorithm
ddhp := Air_Utilities.ddhp(state.p, state.h);
end density_derh_p;
redeclare function extends density_derp_h
"Density derivative by pressure"
algorithm
ddph := Air_Utilities.ddph(state.p, state.h);
end density_derp_h;
// redeclare function extends density_derT_p
// "Density derivative by temperature"
// algorithm
// ddTp := IF97_Utilities.ddTp(state.p, state.h, state.phase);
// end density_derT_p;
//
// redeclare function extends density_derp_T
// "Density derivative by pressure"
// algorithm
// ddpT := IF97_Utilities.ddpT(state.p, state.h, state.phase);
// end density_derp_T;
redeclare function extends setState_dTX
"Return thermodynamic state of air as function of d and T"
algorithm
state := ThermodynamicState(
d=d,
T=T,
h=specificEnthalpy_dT(d, T),
p=pressure_dT(d, T));
end setState_dTX;
redeclare function extends setState_phX
"Return thermodynamic state of air as function of p and h"
algorithm
state := ThermodynamicState(
d=density_ph(p, h),
T=temperature_ph(p, h),
h=h,
p=p);
end setState_phX;
redeclare function extends setState_psX
"Return thermodynamic state of air as function of p and s"
algorithm
state := ThermodynamicState(
d=density_ps(p, s),
T=temperature_ps(p, s),
h=specificEnthalpy_ps(p, s),
p=p);
end setState_psX;
redeclare function extends setState_pTX
"Return thermodynamic state of air as function of p and T"
algorithm
state := ThermodynamicState(
d=density_pT(p, T),
T=T,
h=specificEnthalpy_pT(p, T),
p=p);
end setState_pTX;
redeclare function extends setSmoothState
"Return thermodynamic state so that it smoothly approximates: if x > 0 then state_a else state_b"
import Modelica.Media.Common.smoothStep;
algorithm
state := ThermodynamicState(
p=smoothStep(
x,
state_a.p,
state_b.p,
x_small),
h=smoothStep(
x,
state_a.h,
state_b.h,
x_small),
d=density_ph(smoothStep(
x,
state_a.p,
state_b.p,
x_small), smoothStep(
x,
state_a.h,
state_b.h,
x_small)),
T=temperature_ph(smoothStep(
x,
state_a.p,
state_b.p,
x_small), smoothStep(
x,
state_a.h,
state_b.h,
x_small)));
end setSmoothState;
redeclare function extends isentropicEnthalpy
algorithm
h_is := specificEnthalpy_psX(
p_downstream,
specificEntropy(refState),
reference_X);
end isentropicEnthalpy;
redeclare function extends molarMass "Return the molar mass of the medium"
algorithm
MM := Modelica.Media.Air.ReferenceAir.airConstants.molarMass;
end molarMass;
end Air_Base;
package Air_Utilities
"Low level and utility computation for high accuracy dry air properties"
extends Modelica.Icons.UtilitiesPackage;
record iter = Inverses.accuracy;
package Basic "Fundamental equation of state"
extends Modelica.Icons.BasesPackage;
constant Modelica.Media.Common.FundamentalConstants Constants(
final R_bar=8.31451,
final R_s=287.117,
final MM=28.9586E-003,
final rhored=10447.7,
final Tred=132.6312,
final pred=3785020,
h_off=1589557.62320524,
s_off=6610.41237132543);
function Helmholtz "Helmholtz equation of state"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature (K)";
output Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
protected
final constant Real[13] N_0={0.605719400E-007,-0.210274769E-004,-0.158860716E-003,
-0.13841928076E002,0.17275266575E002,-0.195363420E-003,
0.2490888032E001,0.791309509,0.212236768,0.197938904,
0.2536365E002,0.1690741E002,0.8731279E002};
final constant Real[19] N={0.118160747229,0.713116392079,-0.161824192067E001,
0.714140178971E-001,-0.865421396646E-001,0.134211176704,
0.112626704218E-001,-0.420533228842E-001,0.349008431982E-001,
0.164957183186E-003,-0.101365037912,-0.173813690970,-0.472103183731E-001,
-0.122523554253E-001,-0.146629609713,-0.316055879821E-001,
0.233594806142E-003,0.148287891978E-001,-0.938782884667E-002};
final constant Integer[19] i={1,1,1,2,3,3,4,4,4,6,1,3,5,6,1,3,11,1,3};
final constant Real[19] j={0,0.33,1.01,0,0,0.15,0,0.2,0.35,1.35,1.6,
0.8,0.95,1.25,3.6,6,3.25,3.5,15};
final constant Integer[19] l={0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3};
algorithm
f.d := d;
f.T := T;
f.R_s := ReferenceAir.Air_Utilities.Basic.Constants.R_s;
//Reduced density
f.delta := d/(ReferenceAir.Air_Utilities.Basic.Constants.MM*
ReferenceAir.Air_Utilities.Basic.Constants.rhored);
//Reciprocal reduced temperature
f.tau := ReferenceAir.Air_Utilities.Basic.Constants.Tred/T;
//Dimensionless Helmholtz equation
f.f := 0;
//Ideal-gas part
for k in 1:5 loop
f.f := f.f + N_0[k]*f.tau^(k - 4);
end for;
f.f := f.f + log(f.delta) + N_0[6]*f.tau*sqrt(f.tau) + N_0[7]*log(f.tau)
+ N_0[8]*log(1 - exp(-N_0[11]*f.tau)) + N_0[9]*log(1 - exp(-N_0[12]
*f.tau)) + N_0[10]*log(2/3 + exp(N_0[13]*f.tau));
//Residual part
for k in 1:10 loop
f.f := f.f + N[k]*f.delta^i[k]*f.tau^j[k];
end for;
for k in 11:19 loop
f.f := f.f + N[k]*f.delta^i[k]*f.tau^j[k]*exp(-f.delta^l[k]);
end for;
//First derivative of f w.r.t. delta
f.fdelta := 0;
//Ideal-gas part
f.fdelta := 1/f.delta;
//Residual part
for k in 1:10 loop
f.fdelta := f.fdelta + i[k]*N[k]*f.delta^(i[k] - 1)*f.tau^j[k];
end for;
for k in 11:19 loop
f.fdelta := f.fdelta + N[k]*f.delta^(i[k] - 1)*f.tau^j[k]*exp(-f.delta
^l[k])*(i[k] - l[k]*f.delta^l[k]);
end for;
//Second derivative of f w.r.t. delta
f.fdeltadelta := 0;
//Ideal-gas part
f.fdeltadelta := -1/f.delta^2;
//Residual part
for k in 1:10 loop
f.fdeltadelta := f.fdeltadelta + i[k]*(i[k] - 1)*N[k]*f.delta^(i[k]
- 2)*f.tau^j[k];
end for;
for k in 11:19 loop
f.fdeltadelta := f.fdeltadelta + N[k]*f.delta^(i[k] - 2)*f.tau^j[k]
*exp(-f.delta^l[k])*((i[k] - l[k]*f.delta^l[k])*(i[k] - 1 - l[k]*
f.delta^l[k]) - l[k]^2*f.delta^l[k]);
end for;
//First derivative of f w.r.t. tau
f.ftau := 0;
//Ideal-gas part
for k in 1:5 loop
f.ftau := f.ftau + (k - 4)*N_0[k]*f.tau^(k - 5);
end for;
f.ftau := f.ftau + 1.5*N_0[6]*sqrt(f.tau) + N_0[7]/f.tau + N_0[8]*N_0
[11]/(exp(N_0[11]*f.tau) - 1) + N_0[9]*N_0[12]/(exp(N_0[12]*f.tau)
- 1) + N_0[10]*N_0[13]/(2/3*exp(-N_0[13]*f.tau) + 1);
//Residual part
for k in 1:10 loop
f.ftau := f.ftau + j[k]*N[k]*f.delta^i[k]*f.tau^(j[k] - 1);
end for;
for k in 11:19 loop
f.ftau := f.ftau + j[k]*N[k]*f.delta^i[k]*f.tau^(j[k] - 1)*exp(-f.delta
^l[k]);
end for;
//Second derivative of f w.r.t. tau
f.ftautau := 0;
//Ideal-gas part
for k in 1:3 loop
f.ftautau := f.ftautau + (k - 4)*(k - 5)*N_0[k]*f.tau^(k - 6);
end for;
f.ftautau := f.ftautau + 0.75*N_0[6]/sqrt(f.tau) - N_0[7]/f.tau^2 -
N_0[8]*N_0[11]^2*exp(N_0[11]*f.tau)/(exp(N_0[11]*f.tau) - 1)^2 -
N_0[9]*N_0[12]^2*exp(N_0[12]*f.tau)/(exp(N_0[12]*f.tau) - 1)^2 + 2/
3*N_0[10]*N_0[13]^2*exp(-N_0[13]*f.tau)/(2/3*exp(-N_0[13]*f.tau) +
1)^2;
//Residual part
for k in 1:10 loop
f.ftautau := f.ftautau + j[k]*(j[k] - 1)*N[k]*f.delta^i[k]*f.tau^(j[
k] - 2);
end for;
for k in 11:19 loop
f.ftautau := f.ftautau + j[k]*(j[k] - 1)*N[k]*f.delta^i[k]*f.tau^(j[
k] - 2)*exp(-f.delta^l[k]);
end for;
//Mixed derivative of f w.r.t. delta and tau
f.fdeltatau := 0;
//Residual part (Ideal-gas part is zero)
for k in 1:10 loop
f.fdeltatau := f.fdeltatau + i[k]*j[k]*N[k]*f.delta^(i[k] - 1)*f.tau
^(j[k] - 1);
end for;
for k in 11:19 loop
f.fdeltatau := f.fdeltatau + j[k]*N[k]*f.delta^(i[k] - 1)*f.tau^(j[
k] - 1)*exp(-f.delta^l[k])*(i[k] - l[k]*f.delta^l[k]);
end for;
end Helmholtz;
end Basic;
package Inverses "Inverse function"
extends Modelica.Icons.BasesPackage;
record accuracy "Accuracy of the iterations"
extends Modelica.Icons.Record;
constant Real delp=1E-001 "Accuracy of p";
constant Real delh=1E-009 "Accuracy of h";
constant Real dels=1E-006 "Accuracy of s";
end accuracy;
function dofpT "Compute d for given p and T"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature (K)";
input SI.Pressure delp "Iteration converged if (p-pre(p) < delp)";
output SI.Density d "Density";
protected
Integer i=0 "Loop counter";
Real dp "Pressure difference";
SI.Density deld "Density step";
Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Modelica.Media.Common.NewtonDerivatives_pT nDerivs
"Derivatives needed in Newton iteration";
Boolean found=false "Flag for iteration success";
algorithm
d := p/(ReferenceAir.Air_Utilities.Basic.Constants.R_s*T);
while ((i < 100) and not found) loop
f := Basic.Helmholtz(d, T);
nDerivs := Modelica.Media.Common.Helmholtz_pT(f);
dp := nDerivs.p - p;
if (abs(dp) <= delp) then
found := true;
end if;
deld := dp/nDerivs.pd;
d := d - deld;
i := i + 1;
end while;
end dofpT;
function dTofph "Return d and T as a function of p and h"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input SI.Pressure delp "Iteration accuracy";
input SI.SpecificEnthalpy delh "Iteration accuracy";
output SI.Density d "Density";
output SI.Temperature T "Temperature (K)";
protected
SI.Temperature Tguess "Initial temperature";
SI.Density dguess "Initial density";
Integer i "Iteration counter";
Real dh "Newton-error in h-direction";
Real dp "Newton-error in p-direction";
Real det "Determinant of directional derivatives";
Real deld "Newton-step in d-direction";
Real delt "Newton-step in T-direction";
Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Modelica.Media.Common.NewtonDerivatives_ph nDerivs
"Derivatives needed in Newton iteration";
Boolean found=false "Flag for iteration success";
algorithm
// Stefan Wischhusen: better guess for high temperatures:
T := h/1000 + 273.15;
d := p/(ReferenceAir.Air_Utilities.Basic.Constants.R_s*T);
i := 0;
while ((i < 100) and not found) loop
f := Basic.Helmholtz(d, T);
nDerivs := Modelica.Media.Common.Helmholtz_ph(f);
dh := nDerivs.h - ReferenceAir.Air_Utilities.Basic.Constants.h_off
- h;
dp := nDerivs.p - p;
if ((abs(dh) <= delh) and (abs(dp) <= delp)) then
found := true;
end if;
det := nDerivs.ht*nDerivs.pd - nDerivs.pt*nDerivs.hd;
delt := (nDerivs.pd*dh - nDerivs.hd*dp)/det;
deld := (nDerivs.ht*dp - nDerivs.pt*dh)/det;
T := T - delt;
d := d - deld;
i := i + 1;
end while;
end dTofph;
function dTofps "Return d and T as a function of p and s"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
input SI.Pressure delp "Iteration accuracy";
input SI.SpecificEntropy dels "Iteration accuracy";
output SI.Density d "Density";
output SI.Temperature T "Temperature (K)";
protected
SI.Temperature Tguess "Initial temperature";
SI.Density dguess "Initial density";
Integer i "Iteration counter";
Real ds "Newton-error in s-direction";
Real dp "Newton-error in p-direction";
Real det "Determinant of directional derivatives";
Real deld "Newton-step in d-direction";
Real delt "Newton-step in T-direction";
Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Modelica.Media.Common.NewtonDerivatives_ps nDerivs
"Derivatives needed in Newton iteration";
Boolean found=false "Flag for iteration success";
algorithm
T := 273.15;
d := p/(ReferenceAir.Air_Utilities.Basic.Constants.R_s*T);
i := 0;
while ((i < 100) and not found) loop
f := Basic.Helmholtz(d, T);
nDerivs := Modelica.Media.Common.Helmholtz_ps(f);
ds := nDerivs.s - ReferenceAir.Air_Utilities.Basic.Constants.s_off
- s;
dp := nDerivs.p - p;
if ((abs(ds) <= dels) and (abs(dp) <= delp)) then
found := true;
end if;
det := nDerivs.st*nDerivs.pd - nDerivs.pt*nDerivs.sd;
delt := (nDerivs.pd*ds - nDerivs.sd*dp)/det;
deld := (nDerivs.st*dp - nDerivs.pt*ds)/det;
T := T - delt;
d := d - deld;
i := i + 1;
end while;
end dTofps;
end Inverses;
package Transport "Transport properties for air"
extends Modelica.Icons.BasesPackage;
function eta_dT "Return dynamic viscosity as a function of d and T"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
output SI.DynamicViscosity eta "Dynamic viscosity";
protected
Real delta=d/(ReferenceAir.Air_Utilities.Basic.Constants.MM*
ReferenceAir.Air_Utilities.Basic.Constants.rhored)
"Reduced density";
Real tau=ReferenceAir.Air_Utilities.Basic.Constants.Tred/T
"Reciprocal reduced temperature";
Real Omega "Collision integral";
SI.DynamicViscosity eta_0=0 "Dilute gas viscosity";
SI.DynamicViscosity eta_r=0 "Residual fluid viscosity";
final constant Real[5] b={0.431,-0.4623,0.08406,0.005341,-0.00331};
final constant Real[5] Nvis={10.72,1.122,0.002019,-8.876,-0.02916};
final constant Real[5] tvis={0.2,0.05,2.4,0.6,3.6};
final constant Integer[5] dvis={1,4,9,1,8};
final constant Integer[5] lvis={0,0,0,1,1};
final constant Integer[5] gammavis={0,0,0,1,1};
algorithm
Omega := exp(
Modelica.Math.Polynomials.evaluate(
{b[5],b[4],b[3],b[2],b[1]}, log(T/103.3)));
eta_0 := 0.0266958*sqrt(1000*ReferenceAir.Air_Utilities.Basic.Constants.MM
*T)/(0.36^2*Omega);
for i in 1:5 loop
eta_r := eta_r + (Nvis[i]*(tau^tvis[i])*(delta^dvis[i])*exp(-
gammavis[i]*(delta^lvis[i])));
end for;
eta := (eta_0 + eta_r)*1E-006;
end eta_dT;
function lambda_dT
"Return thermal conductivity as a function of d and T"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
output SI.ThermalConductivity lambda "Thermal conductivity";
protected
Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
SI.ThermalConductivity lambda_0=0 "Dilute gas thermal conductivity";
SI.ThermalConductivity lambda_r=0
"Residual fluid thermal conductivity";
SI.ThermalConductivity lambda_c=0
"Thermal conductivity critical enhancement";
Real Omega "Collision integral";
SI.DynamicViscosity eta_0=0 "Dilute gas viscosity";
Real pddT;
Real pddTref;
Real pdTp;
Real xi;
Real xiref;
Real Omega_tilde;
Real Omega_0_tilde;
Real cv;
Real cp;
final constant Real[5] b={0.431,-0.4623,0.08406,0.005341,-0.00331};
final constant Real[9] Ncon={1.308,1.405,-1.036,8.743,14.76,-16.62,
3.793,-6.142,-0.3778};
final constant Real[9] tcon={0.0,-1.1,-0.3,0.1,0.0,0.5,2.7,0.3,1.3};
final constant Integer[9] dcon={0,0,0,1,2,3,7,7,11};
final constant Integer[9] lcon={0,0,0,0,0,2,2,2,2};
final constant Integer[9] gammacon={0,0,0,0,0,1,1,1,1};
algorithm
//chi_tilde in at the reference temperature 265.262
f := Basic.Helmholtz(d, 265.262);
pddTref := ReferenceAir.Air_Utilities.Basic.Constants.R_bar*265.262*(
1 + 2*f.delta*(f.fdelta - 1/f.delta) + f.delta^2*(f.fdeltadelta + 1
/f.delta^2));
xiref := ReferenceAir.Air_Utilities.Basic.Constants.pred*(d/
ReferenceAir.Air_Utilities.Basic.Constants.MM)/ReferenceAir.Air_Utilities.Basic.Constants.rhored
^2/pddTref;
//calculating f at the given state
f := Basic.Helmholtz(d, T);
Omega := exp(
Modelica.Math.Polynomials.evaluate(
{b[5],b[4],b[3],b[2],b[1]}, log(T/103.3)));
//Ideal-gas part of dynamic viscosity
eta_0 := 0.0266958*sqrt(1000*ReferenceAir.Air_Utilities.Basic.Constants.MM
*T)/(0.36^2*Omega);
//Ideal-gas part of thermal conductivity
lambda_0 := Ncon[1]*eta_0 + Ncon[2]*f.tau^tcon[2] + Ncon[3]*f.tau^
tcon[3];
//Residual part of thermal conductivity
for i in 4:9 loop
lambda_r := lambda_r + Ncon[i]*f.tau^tcon[i]*f.delta^dcon[i]*exp(-
gammacon[i]*f.delta^lcon[i]);
end for;
//Derivative of p w.r.t. d at constant temperature
pddT := ReferenceAir.Air_Utilities.Basic.Constants.R_s*T*(1 + 2*f.delta
*(f.fdelta - 1/f.delta) + f.delta^2*(f.fdeltadelta + 1/f.delta^2));
//chi_tilde at the given state
xi := ReferenceAir.Air_Utilities.Basic.Constants.pred*(d/ReferenceAir.Air_Utilities.Basic.Constants.MM)
/ReferenceAir.Air_Utilities.Basic.Constants.rhored^2/(pddT*
ReferenceAir.Air_Utilities.Basic.Constants.MM);
//Thermal conductivity critical enhancement
xi := xi - xiref*265.262/T;
if (xi <= 0) then
lambda_c := 0;
else
xi := 0.11*(xi/0.055)^(0.63/1.2415);
//Derivative of p w.r.t. T at constant p
pdTp := ReferenceAir.Air_Utilities.Basic.Constants.R_s*d*(1 + f.delta
*(f.fdelta - 1/f.delta) - f.delta*f.tau*f.fdeltatau);
//Specific isochoric heat capacity
cv := ReferenceAir.Air_Utilities.Basic.Constants.R_s*(-f.tau*f.tau*f.ftautau);
//Specific isobaric heat capacity
cp := cv + T*pdTp*pdTp/(d*d*pddT);
Omega_tilde := 2/Modelica.Constants.pi*((cp - cv)/cp*atan(xi/0.31)
+ cv/cp*xi/0.31);
Omega_0_tilde := 2/Modelica.Constants.pi*(1 - exp(-1/((0.31/xi) + 1
/3*(xi/0.31)^2*(ReferenceAir.Air_Utilities.Basic.Constants.rhored
/(d/ReferenceAir.Air_Utilities.Basic.Constants.MM))^2)));
lambda_c := d*cp*1.380658E-023*1.01*T/(6*Modelica.Constants.pi*xi*
eta_dT(d, T))*(Omega_tilde - Omega_0_tilde)*1E012;
end if;
lambda := (lambda_0 + lambda_r + lambda_c)/1000;
end lambda_dT;
end Transport;
function airBaseProp_ps "Intermediate property record for air"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
output Common.AuxiliaryProperties aux "Auxiliary record";
protected
Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
algorithm
aux.p := p;
aux.s := s;
aux.R_s := ReferenceAir.Air_Utilities.Basic.Constants.R_s;
(aux.rho,aux.T) := Inverses.dTofps(
p=p,
s=s,
delp=iter.delp,
dels=iter.dels);
f := Basic.Helmholtz(aux.rho, aux.T);
aux.h := aux.R_s*aux.T*(f.tau*f.ftau + f.delta*f.fdelta) - ReferenceAir.Air_Utilities.Basic.Constants.h_off;
aux.pd := aux.R_s*aux.T*f.delta*(2*f.fdelta + f.delta*f.fdeltadelta);
aux.pt := aux.R_s*aux.rho*f.delta*(f.fdelta - f.tau*f.fdeltatau);
aux.cv := aux.R_s*(-f.tau*f.tau*f.ftautau);
aux.cp := aux.cv + aux.T*aux.pt*aux.pt/(aux.rho*aux.rho*aux.pd);
aux.vp := -1/(aux.rho*aux.rho)*1/aux.pd;
aux.vt := aux.pt/(aux.rho*aux.rho*aux.pd);
end airBaseProp_ps;
function rho_props_ps
"Density as function of pressure and specific entropy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.Density rho "Density";
algorithm
rho := aux.rho;
end rho_props_ps;
function rho_ps "Density as function of pressure and specific entropy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
output SI.Density rho "Density";
algorithm
rho := rho_props_ps(
p,
s,
Air_Utilities.airBaseProp_ps(p, s));
end rho_ps;
function T_props_ps
"Temperature as function of pressure and specific entropy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.Temperature T "Temperature";
algorithm
T := aux.T;
end T_props_ps;
function T_ps "Temperature as function of pressure and specific entropy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
output SI.Temperature T "Temperature";
algorithm
T := T_props_ps(
p,
s,
Air_Utilities.airBaseProp_ps(p, s));
end T_ps;
function h_props_ps
"Specific enthalpy as function or pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.SpecificEnthalpy h "Specific enthalpy";
algorithm
h := aux.h;
end h_props_ps;
function h_ps "Specific enthalpy as function or pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
output SI.SpecificEnthalpy h "Specific enthalpy";
algorithm
h := h_props_ps(
p,
s,
Air_Utilities.airBaseProp_ps(p, s));
end h_ps;
function airBaseProp_ph "Intermediate property record for air"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
output Common.AuxiliaryProperties aux "Auxiliary record";
protected
Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Integer error "Error flag for inverse iterations";
algorithm
aux.p := p;
aux.h := h;
aux.R_s := ReferenceAir.Air_Utilities.Basic.Constants.R_s;
(aux.rho,aux.T) := Inverses.dTofph(
p,
h,
delp=iter.delp,
delh=iter.delh);
f := Basic.Helmholtz(aux.rho, aux.T);
aux.s := aux.R_s*(f.tau*f.ftau - f.f) - ReferenceAir.Air_Utilities.Basic.Constants.s_off;
aux.pd := aux.R_s*aux.T*f.delta*(2*f.fdelta + f.delta*f.fdeltadelta);
aux.pt := aux.R_s*aux.rho*f.delta*(f.fdelta - f.tau*f.fdeltatau);
aux.cv := aux.R_s*(-f.tau*f.tau*f.ftautau);
aux.cp := aux.cv + aux.T*aux.pt*aux.pt/(aux.rho*aux.rho*aux.pd);
aux.vp := -1/(aux.rho*aux.rho)*1/aux.pd;
aux.vt := aux.pt/(aux.rho*aux.rho*aux.pd);
end airBaseProp_ph;
function rho_props_ph
"Density as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.Density rho "Density";
algorithm
rho := aux.rho;
end rho_props_ph;
function rho_ph "Density as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
output SI.Density rho "Density";
algorithm
rho := rho_props_ph(
p,
h,
Air_Utilities.airBaseProp_ph(p, h));
end rho_ph;
function rho_ph_der "Derivative function of rho_ph"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.AuxiliaryProperties aux "Auxiliary record";
input Real p_der "Derivative of pressure";
input Real h_der "Derivative of specific enthalpy";
output Real rho_der "Derivative of density";
algorithm
rho_der := ((aux.rho*(aux.cv*aux.rho + aux.pt))/(aux.rho*aux.rho*aux.pd
*aux.cv + aux.T*aux.pt*aux.pt))*p_der + (-aux.rho*aux.rho*aux.pt/(aux.rho
*aux.rho*aux.pd*aux.cv + aux.T*aux.pt*aux.pt))*h_der;
end rho_ph_der;
function T_props_ph
"Temperature as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.Temperature T "Temperature";
algorithm
T := aux.T;
end T_props_ph;
function T_ph "Temperature as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
output SI.Temperature T "Temperature";
algorithm
T := T_props_ph(
p,
h,
Air_Utilities.airBaseProp_ph(p, h));
end T_ph;
function T_ph_der "Derivative function of T_ph"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.AuxiliaryProperties aux "Auxiliary record";
input Real p_der "Derivative of pressure";
input Real h_der "Derivative of specific enthalpy";
output Real T_der "Derivative of temperature";
algorithm
T_der := ((-aux.rho*aux.pd + aux.T*aux.pt)/(aux.rho*aux.rho*aux.pd*aux.cv
+ aux.T*aux.pt*aux.pt))*p_der + ((aux.rho*aux.rho*aux.pd)/(aux.rho*
aux.rho*aux.pd*aux.cv + aux.T*aux.pt*aux.pt))*h_der;
end T_ph_der;
function s_props_ph
"Specific entropy as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.SpecificEntropy s "Specific entropy";
algorithm
s := aux.s;
end s_props_ph;
function s_ph
"Specific entropy as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
output SI.SpecificEntropy s "Specific entropy";
algorithm
s := s_props_ph(
p,
h,
Air_Utilities.airBaseProp_ph(p, h));
end s_ph;
function s_ph_der
"Specific entropy as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.AuxiliaryProperties aux "Auxiliary record";
input Real p_der "Derivative of pressure";
input Real h_der "Derivative of specific enthalpy";
output Real s_der "Derivative of entropy";
algorithm
s_der := -1/(aux.rho*aux.T)*p_der + 1/aux.T*h_der;
end s_ph_der;
function cv_props_ph
"Specific heat capacity at constant volume as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.SpecificHeatCapacity cv
"Specific heat capacity";
algorithm
cv := aux.cv;
end cv_props_ph;
function cv_ph
"Specific heat capacity at constant volume as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
output SI.SpecificHeatCapacity cv
"Specific heat capacity";
algorithm
cv := cv_props_ph(
p,
h,
Air_Utilities.airBaseProp_ph(p, h));
end cv_ph;
function cp_props_ph
"Specific heat capacity at constant pressure as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.SpecificHeatCapacity cp
"Specific heat capacity";
algorithm
cp := aux.cp;
end cp_props_ph;
function cp_ph
"Specific heat capacity at constant pressure as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
output SI.SpecificHeatCapacity cp
"Specific heat capacity";
algorithm
cp := cp_props_ph(
p,
h,
Air_Utilities.airBaseProp_ph(p, h));
end cp_ph;
function beta_props_ph
"Isobaric expansion coefficient as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.RelativePressureCoefficient beta
"Isobaric expansion coefficient";
algorithm
beta := aux.pt/(aux.rho*aux.pd);
end beta_props_ph;
function beta_ph
"Isobaric expansion coefficient as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
output SI.RelativePressureCoefficient beta
"Isobaric expansion coefficient";
algorithm
beta := beta_props_ph(
p,
h,
Air_Utilities.airBaseProp_ph(p, h));
end beta_ph;
function kappa_props_ph
"Isothermal compressibility factor as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.IsothermalCompressibility kappa
"Isothermal compressibility factor";
algorithm
kappa := 1/(aux.rho*aux.pd);
end kappa_props_ph;
function kappa_ph
"Isothermal compressibility factor as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
output SI.IsothermalCompressibility kappa
"Isothermal compressibility factor";
algorithm
kappa := kappa_props_ph(
p,
h,
Air_Utilities.airBaseProp_ph(p, h));
end kappa_ph;
function velocityOfSound_props_ph
"Speed of sound as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.Velocity a "Speed of sound";
algorithm
a := sqrt(max(0, aux.pd + aux.pt*aux.pt*aux.T/(aux.rho*aux.rho*aux.cv)));
end velocityOfSound_props_ph;
function velocityOfSound_ph
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
output SI.Velocity a "Speed of sound";
algorithm
a := velocityOfSound_props_ph(
p,
h,
Air_Utilities.airBaseProp_ph(p, h));
end velocityOfSound_ph;
function isentropicExponent_props_ph
"Isentropic exponent as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.AuxiliaryProperties aux "Auxiliary record";
output Real gamma "Isentropic exponent";
algorithm
gamma := 1/(aux.rho*p)*((aux.pd*aux.cv*aux.rho*aux.rho + aux.pt*aux.pt*
aux.T)/(aux.cv));
end isentropicExponent_props_ph;
function isentropicExponent_ph
"Isentropic exponent as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
output Real gamma "Isentropic exponent";
algorithm
gamma := isentropicExponent_props_ph(
p,
h,
Air_Utilities.airBaseProp_ph(p, h));
end isentropicExponent_ph;
function ddph_props "Density derivative by pressure"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.DerDensityByPressure ddph
"Density derivative by pressure";
algorithm
ddph := ((aux.rho*(aux.cv*aux.rho + aux.pt))/(aux.rho*aux.rho*aux.pd*
aux.cv + aux.T*aux.pt*aux.pt));
end ddph_props;
function ddph "Density derivative by pressure"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
output SI.DerDensityByPressure ddph
"Density derivative by pressure";
algorithm
ddph := ddph_props(
p,
h,
Air_Utilities.airBaseProp_ph(p, h));
end ddph;
function ddhp_props "Density derivative by specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.DerDensityByEnthalpy ddhp
"Density derivative by specific enthalpy";
algorithm
ddhp := -aux.rho*aux.rho*aux.pt/(aux.rho*aux.rho*aux.pd*aux.cv + aux.T*
aux.pt*aux.pt);
end ddhp_props;
function ddhp "Density derivative by specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
output SI.DerDensityByEnthalpy ddhp
"Density derivative by specific enthalpy";
algorithm
ddhp := ddhp_props(
p,
h,
Air_Utilities.airBaseProp_ph(p, h));
end ddhp;
function airBaseProp_pT
"Intermediate property record for air (p and T preferred states)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
output Common.AuxiliaryProperties aux "Auxiliary record";
protected
Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
algorithm
aux.p := p;
aux.T := T;
aux.R_s := ReferenceAir.Air_Utilities.Basic.Constants.R_s;
(aux.rho) := Inverses.dofpT(
p=p,
T=T,
delp=iter.delp);
f := Basic.Helmholtz(aux.rho, T);
aux.h := aux.R_s*T*(f.tau*f.ftau + f.delta*f.fdelta) - ReferenceAir.Air_Utilities.Basic.Constants.h_off;
aux.s := aux.R_s*(f.tau*f.ftau - f.f) - ReferenceAir.Air_Utilities.Basic.Constants.s_off;
aux.pd := aux.R_s*T*f.delta*(2*f.fdelta + f.delta*f.fdeltadelta);
aux.pt := aux.R_s*aux.rho*f.delta*(f.fdelta - f.tau*f.fdeltatau);
aux.cv := aux.R_s*(-f.tau*f.tau*f.ftautau);
aux.cp := aux.cv + aux.T*aux.pt*aux.pt/(aux.rho*aux.rho*aux.pd);
aux.vp := -1/(aux.rho*aux.rho)*1/aux.pd;
aux.vt := aux.pt/(aux.rho*aux.rho*aux.pd);
end airBaseProp_pT;
function rho_props_pT "Density as function or pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.Density rho "Density";
algorithm
rho := aux.rho;
end rho_props_pT;
function rho_pT "Density as function or pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
output SI.Density rho "Density";
algorithm
rho := rho_props_pT(
p,
T,
Air_Utilities.airBaseProp_pT(p, T));
end rho_pT;
function rho_pT_der "Derivative function of rho_pT"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
input Real p_der "Derivative of pressure";
input Real T_der "Derivative of temperature";
output Real rho_der "Derivative of density";
algorithm
rho_der := (1/aux.pd)*p_der - (aux.pt/aux.pd)*T_der;
end rho_pT_der;
function h_props_pT
"Specific enthalpy as function or pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.SpecificEnthalpy h "Specific enthalpy";
algorithm
h := aux.h;
end h_props_pT;
function h_pT "Specific enthalpy as function or pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
output SI.SpecificEnthalpy h "Specific enthalpy";
algorithm
h := h_props_pT(
p,
T,
Air_Utilities.airBaseProp_pT(p, T));
end h_pT;
function h_pT_der "Derivative function of h_pT"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
input Real p_der "Derivative of pressure";
input Real T_der "Derivative of temperature";
output Real h_der "Derivative of specific enthalpy";
algorithm
h_der := ((-aux.rho*aux.pd + T*aux.pt)/(aux.rho*aux.rho*aux.pd))*p_der
+ ((aux.rho*aux.rho*aux.pd*aux.cv + aux.T*aux.pt*aux.pt)/(aux.rho*
aux.rho*aux.pd))*T_der;
end h_pT_der;
function s_props_pT
"Specific entropy as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.SpecificEntropy s "Specific entropy";
algorithm
s := aux.s;
end s_props_pT;
function s_pT "Temperature as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
output SI.SpecificEntropy s "Specific entropy";
algorithm
s := s_props_pT(
p,
T,
Air_Utilities.airBaseProp_pT(p, T));
end s_pT;
function cv_props_pT
"Specific heat capacity at constant volume as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.SpecificHeatCapacity cv
"Specific heat capacity";
algorithm
cv := aux.cv;
end cv_props_pT;
function cv_pT
"Specific heat capacity at constant volume as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
output SI.SpecificHeatCapacity cv
"Specific heat capacity";
algorithm
cv := cv_props_pT(
p,
T,
Air_Utilities.airBaseProp_pT(p, T));
end cv_pT;
function cp_props_pT
"Specific heat capacity at constant pressure as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.SpecificHeatCapacity cp
"Specific heat capacity";
algorithm
cp := aux.cp;
end cp_props_pT;
function cp_pT
"Specific heat capacity at constant pressure as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
output SI.SpecificHeatCapacity cp
"Specific heat capacity";
algorithm
cp := cp_props_pT(
p,
T,
Air_Utilities.airBaseProp_pT(p, T));
end cp_pT;
function beta_props_pT
"Isobaric expansion coefficient as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.RelativePressureCoefficient beta
"Isobaric expansion coefficient";
algorithm
beta := aux.pt/(aux.rho*aux.pd);
end beta_props_pT;
function beta_pT
"Isobaric expansion coefficient as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
output SI.RelativePressureCoefficient beta
"Isobaric expansion coefficient";
algorithm
beta := beta_props_pT(
p,
T,
Air_Utilities.airBaseProp_pT(p, T));
end beta_pT;
function kappa_props_pT
"Isothermal compressibility factor as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.IsothermalCompressibility kappa
"Isothermal compressibility factor";
algorithm
kappa := 1/(aux.rho*aux.pd);
end kappa_props_pT;
function kappa_pT
"Isothermal compressibility factor as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
output SI.IsothermalCompressibility kappa
"Isothermal compressibility factor";
algorithm
kappa := kappa_props_pT(
p,
T,
Air_Utilities.airBaseProp_pT(p, T));
end kappa_pT;
function velocityOfSound_props_pT
"Speed of sound as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.Velocity a "Speed of sound";
algorithm
a := sqrt(max(0, (aux.pd*aux.rho*aux.rho*aux.cv + aux.pt*aux.pt*aux.T)/
(aux.rho*aux.rho*aux.cv)));
end velocityOfSound_props_pT;
function velocityOfSound_pT
"Speed of sound as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
output SI.Velocity a "Speed of sound";
algorithm
a := velocityOfSound_props_pT(
p,
T,
Air_Utilities.airBaseProp_pT(p, T));
end velocityOfSound_pT;
function isentropicExponent_props_pT
"Isentropic exponent as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
output Real gamma "Isentropic exponent";
algorithm
gamma := 1/(aux.rho*p)*((aux.pd*aux.cv*aux.rho*aux.rho + aux.pt*aux.pt*
aux.T)/(aux.cv));
end isentropicExponent_props_pT;
function isentropicExponent_pT
"Isentropic exponent as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
output Real gamma "Isentropic exponent";
algorithm
gamma := isentropicExponent_props_pT(
p,
T,
Air_Utilities.airBaseProp_pT(p, T));
end isentropicExponent_pT;
function airBaseProp_dT
"Intermediate property record for air (d and T preferred states)"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
output Common.AuxiliaryProperties aux "Auxiliary record";
protected
Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
algorithm
aux.rho := d;
aux.T := T;
aux.R_s := ReferenceAir.Air_Utilities.Basic.Constants.R_s;
f := Basic.Helmholtz(d, T);
aux.p := aux.R_s*d*T*f.delta*f.fdelta;
aux.h := aux.R_s*T*(f.tau*f.ftau + f.delta*f.fdelta) - ReferenceAir.Air_Utilities.Basic.Constants.h_off;
aux.s := aux.R_s*(f.tau*f.ftau - f.f) - ReferenceAir.Air_Utilities.Basic.Constants.s_off;
aux.pd := aux.R_s*T*f.delta*(2*f.fdelta + f.delta*f.fdeltadelta);
aux.pt := aux.R_s*d*f.delta*(f.fdelta - f.tau*f.fdeltatau);
aux.cv := aux.R_s*(-f.tau*f.tau*f.ftautau);
aux.cp := aux.cv + aux.T*aux.pt*aux.pt/(d*d*aux.pd);
aux.vp := -1/(aux.rho*aux.rho)*1/aux.pd;
aux.vt := aux.pt/(aux.rho*aux.rho*aux.pd);
end airBaseProp_dT;
function h_props_dT
"Specific enthalpy as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.SpecificEnthalpy h "Specific enthalpy";
algorithm
h := aux.h;
end h_props_dT;
function h_dT "Specific enthalpy as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
output SI.SpecificEnthalpy h "Specific enthalpy";
algorithm
h := h_props_dT(
d,
T,
Air_Utilities.airBaseProp_dT(d, T));
end h_dT;
function h_dT_der "Derivative function of h_dT"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
input Real d_der "Derivative of density";
input Real T_der "Derivative of temperature";
output Real h_der "Derivative of specific enthalpy";
algorithm
h_der := ((-d*aux.pd + T*aux.pt)/(d*d))*d_der + ((aux.cv*d + aux.pt)/d)
*T_der;
end h_dT_der;
function p_props_dT "Pressure as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.Pressure p "Pressure";
algorithm
p := aux.p;
end p_props_dT;
function p_dT "Pressure as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
output SI.Pressure p "Pressure";
algorithm
p := p_props_dT(
d,
T,
Air_Utilities.airBaseProp_dT(d, T));
end p_dT;
function p_dT_der "Derivative function of p_dT"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
input Real d_der "Derivative of density";
input Real T_der "Derivative of temperature";
output Real p_der "Derivative of pressure";
algorithm
p_der := aux.pd*d_der + aux.pt*T_der;
end p_dT_der;
function s_props_dT
"Specific entropy as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.SpecificEntropy s "Specific entropy";
algorithm
s := aux.s;
end s_props_dT;
function s_dT "Temperature as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
output SI.SpecificEntropy s "Specific entropy";
algorithm
s := s_props_dT(
d,
T,
Air_Utilities.airBaseProp_dT(d, T));
end s_dT;
function cv_props_dT
"Specific heat capacity at constant volume as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.SpecificHeatCapacity cv
"Specific heat capacity";
algorithm
cv := aux.cv;
end cv_props_dT;
function cv_dT
"Specific heat capacity at constant volume as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
output SI.SpecificHeatCapacity cv
"Specific heat capacity";
algorithm
cv := cv_props_dT(
d,
T,
Air_Utilities.airBaseProp_dT(d, T));
end cv_dT;
function cp_props_dT
"Specific heat capacity at constant pressure as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.SpecificHeatCapacity cp
"Specific heat capacity";
algorithm
cp := aux.cp;
end cp_props_dT;
function cp_dT
"Specific heat capacity at constant pressure as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
output SI.SpecificHeatCapacity cp
"Specific heat capacity";
algorithm
cp := cp_props_dT(
d,
T,
Air_Utilities.airBaseProp_dT(d, T));
end cp_dT;
function beta_props_dT
"Isobaric expansion coefficient as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.RelativePressureCoefficient beta
"Isobaric expansion coefficient";
algorithm
beta := aux.pt/(aux.rho*aux.pd);
end beta_props_dT;
function beta_dT
"Isobaric expansion coefficient as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
output SI.RelativePressureCoefficient beta
"Isobaric expansion coefficient";
algorithm
beta := beta_props_dT(
d,
T,
Air_Utilities.airBaseProp_dT(d, T));
end beta_dT;
function kappa_props_dT
"Isothermal compressibility factor as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.IsothermalCompressibility kappa
"Isothermal compressibility factor";
algorithm
kappa := 1/(aux.rho*aux.pd);
end kappa_props_dT;
function kappa_dT
"Isothermal compressibility factor as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
output SI.IsothermalCompressibility kappa
"Isothermal compressibility factor";
algorithm
kappa := kappa_props_dT(
d,
T,
Air_Utilities.airBaseProp_dT(d, T));
end kappa_dT;
function velocityOfSound_props_dT
"Speed of sound as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.Velocity a "Speed of sound";
algorithm
a := sqrt(max(0, ((aux.pd*aux.rho*aux.rho*aux.cv + aux.pt*aux.pt*aux.T)
/(aux.rho*aux.rho*aux.cv))));
end velocityOfSound_props_dT;
function velocityOfSound_dT
"Speed of sound as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
output SI.Velocity a "Speed of sound";
algorithm
a := velocityOfSound_props_dT(
d,
T,
Air_Utilities.airBaseProp_dT(d, T));
end velocityOfSound_dT;
function isentropicExponent_props_dT
"Isentropic exponent as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
output Real gamma "Isentropic exponent";
algorithm
gamma := 1/(aux.rho*aux.p)*((aux.pd*aux.cv*aux.rho*aux.rho + aux.pt*aux.pt
*aux.T)/(aux.cv));
end isentropicExponent_props_dT;
function isentropicExponent_dT
"Isentropic exponent as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
output Real gamma "Isentropic exponent";
algorithm
gamma := isentropicExponent_props_dT(
d,
T,
Air_Utilities.airBaseProp_dT(d, T));
end isentropicExponent_dT;
protected
package ThermoFluidSpecial
extends Modelica.Icons.FunctionsPackage;
function air_ph
"Calculate the property record for dynamic simulation properties using p,h as states"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
output Modelica.Media.Common.ThermoFluidSpecial.ThermoProperties_ph
pro "Property record for dynamic simulation";
protected
Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
SI.Temperature T "Temperature";
SI.Density d "Density";
algorithm
(d,T) := Air_Utilities.Inverses.dTofph(
p=p,
h=h,
delp=1.0e-7,
delh=1.0e-6);
f := Air_Utilities.Basic.Helmholtz(d, T);
pro := Modelica.Media.Common.ThermoFluidSpecial.helmholtzToProps_ph(f);
end air_ph;
function air_dT
"Calculate property record for dynamic simulation properties using d and T as dynamic states"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
output Modelica.Media.Common.ThermoFluidSpecial.ThermoProperties_dT
pro "Property record for dynamic simulation";
protected
SI.Pressure p "Pressure";
Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
algorithm
f := Air_Utilities.Basic.Helmholtz(d, T);
pro := Modelica.Media.Common.ThermoFluidSpecial.helmholtzToProps_dT(f);
end air_dT;
function air_pT
"Calculate property record for dynamic simulation properties using p and T as dynamic states"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
output Modelica.Media.Common.ThermoFluidSpecial.ThermoProperties_pT
pro "Property record for dynamic simulation";
protected
SI.Density d "Density";
Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
algorithm
d := Modelica.Media.Air.ReferenceAir.Air_Utilities.Inverses.dofpT(
p=p,
T=T,
delp=1e-7);
f := Air_Utilities.Basic.Helmholtz(d, T);
pro := Modelica.Media.Common.ThermoFluidSpecial.helmholtzToProps_pT(f);
end air_pT;
end ThermoFluidSpecial;
end Air_Utilities;
end ReferenceAir; |
ReferenceMoistAir: Detailed moist air model (143.15 ... 2000 K) | within Modelica.Media.Air;
package ReferenceMoistAir
"ReferenceMoistAir: Detailed moist air model (143.15 ... 2000 K)"
extends Modelica.Media.Interfaces.PartialRealCondensingGases(
mediumName="Moist air",
substanceNames={"Water","Air"},
final fixedX=false,
final reducedX=true,
final singleState=false,
reference_X={0.01,0.99},
fluidConstants={Utilities.Water95_Utilities.waterConstants,Modelica.Media.Air.ReferenceAir.airConstants},
ThermoStates=Modelica.Media.Interfaces.Choices.IndependentVariables.pTX);
constant Integer Water=1
"Index of water (in substanceNames, massFractions X, etc.)";
constant Integer Air=2
"Index of air (in substanceNames, massFractions X, etc.)";
constant Boolean useEnhancementFactor=false
"Use the enhancement factor in the calculations";
constant Boolean useDissociation=true
"Take dissociation into account for high temperatures";
constant Real k_mair=steam.MM/dryair.MM "Ratio of molar weights";
constant Common.FundamentalConstants dryair=ReferenceAir.Air_Utilities.Basic.Constants;
constant Common.FundamentalConstants steam=Utilities.Water95_Utilities.Constants;
constant SI.MolarMass[2] MMX={steam.MM,dryair.MM}
"Molar masses of components";
import Modelica.Media.Interfaces;
import Modelica.Math;
import Modelica.Constants;
import Modelica.Media.IdealGases.Common.SingleGasNasa;
redeclare record extends ThermodynamicState
"ThermodynamicState record for moist air"
end ThermodynamicState;
redeclare replaceable model extends BaseProperties(
T(stateSelect=if preferredMediumStates then StateSelect.prefer else
StateSelect.default),
p(stateSelect=if preferredMediumStates then StateSelect.prefer else
StateSelect.default),
Xi(each stateSelect=if preferredMediumStates then StateSelect.prefer else
StateSelect.default),
final standardOrderComponents=true) "Moist air base properties record"
Real x_water "Mass of total water/mass of dry air";
Real phi "Relative humidity";
protected
MassFraction X_liquid "Mass fraction of liquid or solid water";
MassFraction X_steam "Mass fraction of steam water";
MassFraction X_air "Mass fraction of air";
MassFraction X_sat
"Steam water mass fraction of saturation boundary in kg_water/kg_moistair";
Real x_sat
"Steam water mass content of saturation boundary in kg_water/kg_dryair";
AbsolutePressure p_steam_sat "Partial saturation pressure of steam";
equation
assert(T >= 143.15 and T <= 2000,
"Temperature T is not in the allowed range 143.15 K <= (T =" + String(T)
+ " K) <= 2000 K required from medium model \"" + mediumName + "\".");
MM = 1/(Xi[Water]/MMX[Water] + (1.0 - Xi[Water])/MMX[Air]);
p_steam_sat = Modelica.Media.Air.ReferenceMoistAir.Utilities.pds_pT(p, T);
X_sat = Modelica.Media.Air.ReferenceMoistAir.Xsaturation(state);
X_liquid = max(Xi[Water] - X_sat, 0.0);
X_steam = Xi[Water] - X_liquid;
X_air = 1 - Xi[Water];
h = specificEnthalpy_pTX(
p,
T,
Xi);
R_s = dryair.R_s*(X_air/(1 - X_liquid)) + steam.R_s*X_steam/(1 - X_liquid);
u = Modelica.Media.Air.ReferenceMoistAir.Utilities.u_pTX(
p,
T,
Xi);
d = Modelica.Media.Air.ReferenceMoistAir.Utilities.rho_pTX(
p,
T,
Xi);
state.p = p;
state.T = T;
state.X = X;
// these x are per unit mass of DRY air!
x_sat = Modelica.Media.Air.ReferenceMoistAir.xsaturation(state);
x_water = Modelica.Media.Air.ReferenceMoistAir.waterContent_X(state.X);
phi = Modelica.Media.Air.ReferenceMoistAir.Utilities.phi_pTX(
p,
T,
Xi);
end BaseProperties;
redeclare function extends setState_pTX
"Return thermodynamic state as function of pressure p, temperature T and composition X"
algorithm
state := if size(X, 1) == nX then ThermodynamicState(
p=p,
T=T,
X=X) else ThermodynamicState(
p=p,
T=T,
X=cat(
1,
X,
{1 - sum(X)}));
end setState_pTX;
redeclare function extends setState_phX
"Return thermodynamic state as function of pressure p, specific enthalpy h and composition X"
algorithm
state := if size(X, 1) == nX then ThermodynamicState(
p=p,
T=Modelica.Media.Air.ReferenceMoistAir.Utilities.Inverses.T_phX(
p,
h,
X),
X=X) else ThermodynamicState(
p=p,
T=Modelica.Media.Air.ReferenceMoistAir.Utilities.Inverses.T_phX(
p,
h,
X),
X=cat(
1,
X,
{1 - sum(X)}));
end setState_phX;
redeclare function extends setState_psX
"Return thermodynamic state as function of pressure p, specific enthalpy h and composition X"
algorithm
state := if size(X, 1) == nX then ThermodynamicState(
p=p,
T=Modelica.Media.Air.ReferenceMoistAir.Utilities.Inverses.T_psX(
p,
s,
X),
X=X) else ThermodynamicState(
p=p,
T=Modelica.Media.Air.ReferenceMoistAir.Utilities.Inverses.T_psX(
p,
s,
X),
X=cat(
1,
X,
{1 - sum(X)}));
end setState_psX;
redeclare function extends setState_dTX
"Return thermodynamic state as function of density d, temperature T and composition X"
algorithm
state := if size(X, 1) == nX then ThermodynamicState(
p=Modelica.Media.Air.ReferenceMoistAir.Utilities.Inverses.p_dTX(
d,
T,
X),
T=T,
X=X) else ThermodynamicState(
p=Modelica.Media.Air.ReferenceMoistAir.Utilities.Inverses.p_dTX(
d,
T,
X),
T=T,
X=cat(
1,
X,
{1 - sum(X)}));
end setState_dTX;
redeclare function extends setSmoothState
"Return thermodynamic state so that it smoothly approximates: if x > 0 then state_a else state_b"
algorithm
state := ThermodynamicState(
p=Modelica.Media.Common.smoothStep(
x,
state_a.p,
state_b.p,
x_small),
T=Modelica.Media.Common.smoothStep(
x,
state_a.T,
state_b.T,
x_small),
X=Modelica.Media.Common.smoothStep(
x,
state_a.X,
state_b.X,
x_small));
end setSmoothState;
function Xsaturation
"Return absolute humidity per unit mass of moist air at saturation as a function of the thermodynamic state record"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output MassFraction X_sat "Steam mass fraction of sat. boundary";
protected
MassFraction[:] X;
algorithm
X := massFractionSaturation(state);
X_sat := X[1];
end Xsaturation;
function xsaturation
"Return absolute humidity per unit mass of dry air at saturation as a function of the thermodynamic state record"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output MassFraction x_sat "Absolute humidity per unit mass of dry air";
algorithm
x_sat := Modelica.Media.Air.ReferenceMoistAir.Utilities.xws_pT(state.p,
state.T);
assert(x_sat > -1,
"Calculation of absolute humidity is meaningless\nfor input pressure p = "
+ String(state.p) + " Pa and temperature T = " + String(state.T) + " K.");
end xsaturation;
redeclare function extends massFraction_pTphi
"Return mass fractions as a function of pressure, temperature and relative humidity"
protected
Real pds;
algorithm
assert(phi < 1.0 and phi > 0, "Illegal input phi = " + String(phi) +
". Relative humidity is only defined in the range\n 0 <= phi <= 1.0.");
pds := Modelica.Media.Air.ReferenceMoistAir.Utilities.pds_pT(p, T);
assert(pds > -1,
"Calculation of mass fraction of steam is meaningless\nfor input pressure p = "
+ String(p) + " Pa and temperature T = " + String(T) + " K.");
X := {phi*k_mair/(p/pds - phi),1 - phi*k_mair/(p/pds - phi)};
end massFraction_pTphi;
function massFractionWaterVapor "Return mass fraction of water vapor"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output MassFraction X "Mass fraction of water vapor";
protected
Real xw;
Real xws;
algorithm
xw := state.X[1]/max(100*Modelica.Constants.eps, (1 - state.X[1]));
xws := Utilities.xws_pT(state.p, state.T);
X := if (xw <= xws) then xw/(1 + xw) else xws/(1 + xw);
end massFractionWaterVapor;
function massFractionWaterNonVapor
"Return mass fraction of liquid and solid water"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output MassFraction X "Mass fraction of water varpor";
protected
Real xw;
Real xws;
algorithm
xw := state.X[1]/max(100*Modelica.Constants.eps, (1 - state.X[1]));
xws := Utilities.xws_pT(state.p, state.T);
X := if (xw <= xws) then 0 else (xw - xws)/(1 + xw);
end massFractionWaterNonVapor;
redeclare function extends massFractionSaturation
"Return saturation mass fractions"
protected
AbsolutePressure pds;
algorithm
pds := Utilities.pds_pT(state.p, state.T);
Xsat := {k_mair/(state.p/pds - 1 + k_mair),(state.p/pds - 1)/(state.p/pds
- 1 + k_mair)};
assert(Xsat[1] > -1,
"Calculation of saturation mass fraction is meaningless\nfor input pressure p = "
+ String(state.p) + " Pa and temperature T = " + String(state.T) + " K.");
end massFractionSaturation;
function massFractionSaturation_ppsat
"Return mass fvraction at saturation boundary given pressure and saturation pressure"
extends Modelica.Icons.Function;
input AbsolutePressure p "Ambient pressure";
input AbsolutePressure psat "Saturation pressure";
output MassFraction[:] X "Mass fraction";
algorithm
X := {k_mair/(p/psat - 1 + k_mair),(p/psat - 1)/(p/psat - 1 + k_mair)};
end massFractionSaturation_ppsat;
function massFraction_waterContent
"Return mass fractions as a function of pressure, temperature and absolute humidity in kg(water)/kg(dry air)"
extends Modelica.Icons.Function;
input Real xw "Water content in kg(water)/kg(dry air)";
output MassFraction[:] X "Mass fractions";
algorithm
X := {xw/(1 + xw),1/(1 + xw)};
end massFraction_waterContent;
function waterContent_X
"Return water content in kg(water)/kg(dry air) given mass fractions"
extends Modelica.Icons.Function;
input MassFraction[:] X "Mass fractions";
output Real xw "Water content in kg(water)/kg(dry air)";
algorithm
xw := X[1]/max(100*Modelica.Constants.eps, (1 - X[1]));
end waterContent_X;
redeclare function extends relativeHumidity "Return relative humidity"
algorithm
phi := Utilities.phi_pTX(
state.p,
state.T,
state.X);
assert(phi > -1,
"Calculation of relative humidity is meaningless\nfor input pressure p = "
+ String(state.p) + " Pa and temperature T = " + String(state.T) + " K.");
end relativeHumidity;
redeclare function extends gasConstant
"Return ideal gas constant as a function from thermodynamic state, only valid for phi<1"
algorithm
R_s := dryair.R_s*(1 - state.X[Water]) + steam.R_s*state.X[Water];
end gasConstant;
function saturationPressureLiquid
"Return saturation pressure of water as a function of temperature T"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output AbsolutePressure psat "Saturation pressure";
algorithm
psat :=
Modelica.Media.Air.ReferenceMoistAir.Utilities.Water95_Utilities.psat(
state.T);
end saturationPressureLiquid;
function sublimationPressureIce
"Return sublimation pressure of water as a function of temperature T between 223.16 and 273.16 K"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output AbsolutePressure psat "Sublimation pressure";
algorithm
psat :=
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.Basic.psub(
state.T);
end sublimationPressureIce;
redeclare function extends saturationPressure
"Return saturation pressure of condensing fluid"
algorithm
psat := Utilities.pds_pT(state.p, state.T);
assert(psat > -1,
"Calculation of saturation pressure is meaningless\nfor input temperature T = "
+ String(state.T) + " K.");
end saturationPressure;
redeclare function extends saturationTemperature
"Return saturation temperature of condensing fluid"
protected
partial function Tsat_res
extends Modelica.Math.Nonlinear.Interfaces.partialScalarFunction;
input SI.Pressure p "Pressure";
algorithm
y := Modelica.Media.Air.ReferenceMoistAir.Utilities.pds_pT(p=p, T=u) - p;
end Tsat_res;
algorithm
Tsat := Modelica.Math.Nonlinear.solveOneNonlinearEquation(
function Tsat_res(p=state.p),
50.0,
673.15,
1e-9);
end saturationTemperature;
redeclare function extends enthalpyOfVaporization
"Return enthalpy of vaporization of water"
protected
AbsolutePressure p_liq;
algorithm
p_liq := saturationPressureLiquid(state);
r0 := Modelica.Media.Water.IF97_Utilities.hv_p(p_liq) -
Modelica.Media.Water.IF97_Utilities.hl_p(p_liq);
end enthalpyOfVaporization;
redeclare function extends enthalpyOfLiquid "Return enthalpy of liquid water"
protected
Real xw;
Real xws;
algorithm
xw := state.X[1]/(1 - state.X[1]);
xws := Utilities.xws_pT(state.p, state.T);
if ((xws > xw) and (state.T > 273.15)) then
h := Modelica.Media.Water.IF97_Utilities.h_pT(
state.p,
state.T,
region=1);
else
h := 0;
end if;
end enthalpyOfLiquid;
redeclare function extends enthalpyOfGas
"Return specific enthalpy of gas (air and steam)"
protected
Real xw;
Real xws;
Real pd;
Real pl;
algorithm
pd := Utilities.pd_pTX(
state.p,
state.T,
state.X);
pl := state.p - pd;
xw := state.X[1]/(1 - state.X[1]);
xws := Utilities.xws_pT(state.p, state.T);
if ((xw <= xws) or (xws == -1)) then
h := Modelica.Media.Air.ReferenceAir.Air_Utilities.h_pT(pl, state.T) + xw
*Utilities.IF97_new.h_pT(pd, state.T);
else
if (state.T < 273.16) then
h := Modelica.Media.Air.ReferenceAir.Air_Utilities.h_pT(pl, state.T) +
xws*Utilities.IF97_new.h_pT(pd, state.T);
else
h := Modelica.Media.Air.ReferenceAir.Air_Utilities.h_pT(pl, state.T) +
xws*Utilities.IF97_new.h_pT(pd, state.T);
end if;
end if;
end enthalpyOfGas;
redeclare function extends enthalpyOfCondensingGas
"Return specific enthalpy of steam"
protected
Real xw;
Real pd;
algorithm
pd := Utilities.pd_pTX(
state.p,
state.T,
state.X);
xw := state.X[1]/(1 - state.X[1]);
h := xw*Utilities.IF97_new.h_pT(pd, state.T);
end enthalpyOfCondensingGas;
redeclare function extends enthalpyOfNonCondensingGas
"Return specific enthalpy of dry air"
algorithm
h := Modelica.Media.Air.ReferenceAir.Air_Utilities.h_pT(state.p, state.T);
end enthalpyOfNonCondensingGas;
function enthalpyOfDryAir = enthalpyOfNonCondensingGas
"Return specific enthalpy of dry air";
function enthalpyOfWater
"Return specific enthalpy of water (solid + liquid + steam)"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output SI.SpecificEnthalpy h "Specific enthalpy of water";
algorithm
h := specificEnthalpy(state) - enthalpyOfNonCondensingGas(state);
end enthalpyOfWater;
function enthalpyOfWaterVapor = enthalpyOfCondensingGas
"Return specific enthalpy of steam";
function enthalpyOfWaterNonVapor "Return enthalpy of liquid and solid water"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output SI.SpecificEnthalpy h "Specific enthalpy of water";
algorithm
h := enthalpyOfWater(state) - enthalpyOfWaterVapor(state);
end enthalpyOfWaterNonVapor;
redeclare function extends pressure
"Returns pressure of ideal gas as a function of the thermodynamic state record"
algorithm
p := state.p;
end pressure;
redeclare function extends temperature
"Return temperature of ideal gas as a function of the thermodynamic state record"
algorithm
T := state.T;
end temperature;
redeclare function extends density
"Returns density as a function of the thermodynamic state record"
algorithm
d := Utilities.rho_pTX(
state.p,
state.T,
state.X);
end density;
redeclare function extends specificEnthalpy
"Return specific enthalpy of moist air as a function of the thermodynamic state record"
algorithm
h := Modelica.Media.Air.ReferenceMoistAir.Utilities.h_pTX(
state.p,
state.T,
state.X);
end specificEnthalpy;
redeclare function extends specificInternalEnergy
"Return specific internal energy of moist air as a function of the thermodynamic state record"
algorithm
u := Utilities.u_pTX(
state.p,
state.T,
state.X);
end specificInternalEnergy;
redeclare function extends specificEntropy
"Return specific entropy from thermodynamic state record, only valid for phi<1"
algorithm
s := Utilities.s_pTX(
state.p,
state.T,
state.X);
end specificEntropy;
redeclare function extends specificGibbsEnergy
"Return specific Gibbs energy as a function of the thermodynamic state record, only valid for phi<1"
algorithm
g := Utilities.h_pTX(
state.p,
state.T,
state.X) - state.T*Utilities.s_pTX(
state.p,
state.T,
state.X);
end specificGibbsEnergy;
redeclare function extends specificHelmholtzEnergy
"Return specific Helmholtz energy as a function of the thermodynamic state record, only valid for phi<1"
algorithm
f := Utilities.u_pTX(
state.p,
state.T,
state.X) - state.T*Utilities.s_pTX(
state.p,
state.T,
state.X);
end specificHelmholtzEnergy;
redeclare function extends specificHeatCapacityCp
"Return specific heat capacity at constant pressure as a function of the thermodynamic state record"
algorithm
cp := Utilities.cp_pTX(
state.p,
state.T,
state.X);
end specificHeatCapacityCp;
redeclare function extends specificHeatCapacityCv
"Return specific heat capacity at constant volume as a function of the thermodynamic state record"
algorithm
cv := Utilities.cv_pTX(
state.p,
state.T,
state.X);
end specificHeatCapacityCv;
redeclare function extends isentropicExponent "Return isentropic exponent"
algorithm
gamma := specificHeatCapacityCp(state)/specificHeatCapacityCv(state);
end isentropicExponent;
redeclare function extends isentropicEnthalpy "Return isentropic enthalpy"
protected
MassFraction[nX] X "Complete X-vector";
algorithm
/*X := if reducedX then cat(
1,
refState.X,
{1 - sum(refState.X)}) else refState.X;*/
X := refState.X;
h_is := specificEnthalpy(setState_psX(
p_downstream,
specificEntropy(refState),
X));
end isentropicEnthalpy;
redeclare function extends velocityOfSound "Return velocity of sound"
algorithm
a := sqrt(max(0, gasConstant(state)*state.T*specificHeatCapacityCp(state)/
specificHeatCapacityCv(state)));
end velocityOfSound;
redeclare function extends molarMass "Return the molar mass of the medium"
algorithm
MM := 1/(state.X[1]/steam.MM + state.X[2]/dryair.MM);
end molarMass;
redeclare function extends dynamicViscosity
"Return dynamic viscosity as a function of the thermodynamic state record, valid from 73.15 K to 373.15 K"
algorithm
eta := Utilities.Transport.eta_pTX(
state.p,
state.T,
state.X);
end dynamicViscosity;
redeclare function extends thermalConductivity
"Return thermal conductivity as a function of the thermodynamic state record, valid from 73.15 K to 373.15 K"
algorithm
lambda := Utilities.Transport.lambda_pTX(
state.p,
state.T,
state.X);
end thermalConductivity;
package Utilities "Utility package for moist air"
extends Modelica.Icons.UtilitiesPackage;
final constant MoleFraction[4] MMX={18.015257E-003,28.01348E-003,
31.9988E-003,39.948E-003};
final constant Real[3] Xi_Air={0.7557,0.2316,0.0127};
package Inverses "Compute inverse function"
extends Modelica.Icons.BasesPackage;
function T_phX
"Return temperature as a function of pressure, specific enthalpy and mass fractions"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input SI.MassFraction X[:]=Modelica.Media.Air.ReferenceMoistAir.reference_X
"Mass fractions";
output SI.Temperature T "Temperature";
protected
MassFraction[nX] Xfull=if size(X, 1) == nX then X else cat(
1,
X,
{1 - sum(X)});
function T_phX_res
extends Modelica.Math.Nonlinear.Interfaces.partialScalarFunction;
input SI.AbsolutePressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input SI.MassFraction X[:]=Modelica.Media.Air.ReferenceMoistAir.reference_X
"Mass fractions";
algorithm
y := Modelica.Media.Air.ReferenceMoistAir.Utilities.h_pTX(
p=p,
T=u,
X=X) - h;
end T_phX_res;
algorithm
T := Modelica.Math.Nonlinear.solveOneNonlinearEquation(
function T_phX_res(
p=p,
h=h,
X=Xfull),
173.15,
2000.0,
1e-9);
end T_phX;
function T_psX
"Return temperature as function of pressure, specific entropy and mass fractions"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
input SI.MassFraction X[:]=Modelica.Media.Air.ReferenceMoistAir.reference_X
"Mass fractions";
output SI.Temperature T "Temperature";
protected
MassFraction[nX] Xfull=if size(X, 1) == nX then X else cat(
1,
X,
{1 - sum(X)});
function T_psX_res
extends Modelica.Math.Nonlinear.Interfaces.partialScalarFunction;
input SI.AbsolutePressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
input SI.MassFraction X[:]=Modelica.Media.Air.ReferenceMoistAir.reference_X
"Mass fractions";
algorithm
y := Modelica.Media.Air.ReferenceMoistAir.Utilities.s_pTX(
p=p,
T=u,
X=X) - s;
end T_psX_res;
algorithm
T := Modelica.Math.Nonlinear.solveOneNonlinearEquation(
function T_psX_res(
p=p,
s=s,
X=Xfull),
173.15,
2000.0,
1e-9);
end T_psX;
function p_dTX
"Return pressure as function of density, temperature and mass fractions"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input SI.MassFraction X[:]=Modelica.Media.Air.ReferenceMoistAir.reference_X
"Mass fractions";
output SI.AbsolutePressure p "Pressure";
protected
MassFraction[nX] Xfull=if size(X, 1) == nX then X else cat(
1,
X,
{1 - sum(X)});
function p_dTX_res
extends Modelica.Math.Nonlinear.Interfaces.partialScalarFunction;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input SI.MassFraction X[:]=Modelica.Media.Air.ReferenceMoistAir.reference_X
"Mass fractions";
algorithm
y := Modelica.Media.Air.ReferenceMoistAir.Utilities.rho_pTX(
p=u,
T=T,
X=X) - d;
end p_dTX_res;
algorithm
p := Modelica.Math.Nonlinear.solveOneNonlinearEquation(
function p_dTX_res(
d=d,
T=T,
X=Xfull),
611.2,
1e7,
1e-9);
end p_dTX;
end Inverses;
package Transport "Package for transport properties of moist air"
extends Modelica.Icons.BasesPackage;
record coef
"Coefficients for polynomials used to calculate transport properties"
extends Modelica.Icons.Record;
Real sigma=2.52;
Real epsilon=775;
Real M=18.0152;
Real R=0.46144;
Real[5] w={0.69339511,-0.002597963,1.2864772,0.1576848,0.02543632};
Real[5] a={0.4159259E+001,-0.1725577E-002,0.5702012E-005,-0.4596049E-008,
0.1424309E-011};
end coef;
function eta_pTX "Dynamic viscosity"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MassFraction X[:]=Modelica.Media.Air.ReferenceMoistAir.reference_X
"Mass fractions";
output SI.DynamicViscosity eta "Dynamic viscosity";
protected
Real ya;
Real yd;
Real yf;
Real va;
Real vd;
Real vf;
Real xw;
Real xws;
Real pd;
Real pl;
Real da;
Real dd;
Real df;
Real Omega;
Real Tred;
Real etad;
Modelica.Media.Air.ReferenceMoistAir.Utilities.Transport.coef coef;
algorithm
xw := X[1]/(1 - X[1]);
xws := Modelica.Media.Air.ReferenceMoistAir.Utilities.xws_pT(p, T);
pd := Modelica.Media.Air.ReferenceMoistAir.Utilities.pd_pTX(
p,
T,
X);
pl := p - pd;
da := Modelica.Media.Air.ReferenceAir.Air_Utilities.rho_pT(pl, T);
if ((xw <= xws) or (xws == -1)) then
if (T < 273.16) then
dd := pd/(Modelica.Media.Air.ReferenceMoistAir.steam.R_s*T);
ya := da/(da + dd);
yd := 1 - ya;
Tred := T/coef.epsilon;
Omega := coef.w[1] + coef.w[2]*Tred + coef.w[3]*Modelica.Math.exp(
coef.w[4]*Tred)/(coef.w[5] + Tred);
etad := 2.6695E-006*sqrt(T*coef.M)/(coef.sigma^2*Omega);
eta := ya*
Modelica.Media.Air.ReferenceAir.Air_Utilities.Transport.eta_dT(da,
T) + yd*etad;
else
dd :=
Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.rho_pT(pd,
T);
ya := da/(da + dd);
yd := 1 - ya;
eta := ya*
Modelica.Media.Air.ReferenceAir.Air_Utilities.Transport.eta_dT(da,
T) + yd*
Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.visc_dT(
dd, T);
end if;
else
if (T < 273.16) then
dd := pd/(Modelica.Media.Air.ReferenceMoistAir.steam.R_s*T);
ya := da/(da + dd);
yd := 1 - ya;
Tred := T/coef.epsilon;
Omega := coef.w[1] + coef.w[2]*Tred + coef.w[3]*Modelica.Math.exp(
coef.w[4]*Tred)/(coef.w[5] + Tred);
etad := 2.6695E-006*sqrt(T*coef.M)/(coef.sigma^2*Omega);
eta := ya*
Modelica.Media.Air.ReferenceAir.Air_Utilities.Transport.eta_dT(da,
T) + yd*etad;
else
dd :=
Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.rho_pT(pd,
T);
df := Modelica.Media.Water.IF97_Utilities.rho_pT(p, T);
yf := (xw - xws)/df/((1 + xws)/(da + dd) + (xw - xws)/df);
ya := (1 - yf)/(1 + dd/da);
yd := 1 - (ya + yf);
eta := ya*
Modelica.Media.Air.ReferenceAir.Air_Utilities.Transport.eta_dT(da,
T) + yd*
Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.visc_dT(
dd, T) + yf*
Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.visc_dT(
df, T);
end if;
end if;
end eta_pTX;
function lambda_pTX "Thermal conductivity"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MassFraction X[:]=Modelica.Media.Air.ReferenceMoistAir.reference_X
"Mass fractions";
output SI.ThermalConductivity lambda
"Thermal conductivity";
protected
Real ya;
Real yd;
Real yf;
Real va;
Real vd;
Real vf;
Real xw;
Real xws;
Real pd;
Real pl;
Real da;
Real dd;
Real df;
Real Omega;
Real Tred;
Real cp;
Real Eu;
Real lambdad;
Modelica.Media.Air.ReferenceMoistAir.Utilities.Transport.coef coef;
algorithm
xw := X[1]/(1 - X[1]);
xws := Modelica.Media.Air.ReferenceMoistAir.Utilities.xws_pT(p, T);
pd := Modelica.Media.Air.ReferenceMoistAir.Utilities.pd_pTX(
p,
T,
X);
pl := p - pd;
da := Modelica.Media.Air.ReferenceAir.Air_Utilities.rho_pT(pl, T);
if ((xw <= xws) or (xws == -1)) then
if (T < 273.16) then
dd := pd/(Modelica.Media.Air.ReferenceMoistAir.steam.R_s*T);
ya := da/(da + dd);
yd := 1 - ya;
Tred := T/coef.epsilon;
Omega := coef.w[1] + coef.w[2]*Tred + coef.w[3]*Modelica.Math.exp(
coef.w[4]*Tred)/(coef.w[5] + Tred);
cp := coef.a[1] + coef.a[2]*T + coef.a[3]*T^2 + coef.a[4]*T^3 +
coef.a[5]*T^4;
Eu := 0.35424*cp + 0.1144;
Eu := 0;
lambdad := 0.083232*sqrt(T/coef.M)/(coef.sigma^2*Omega)*Eu;
lambda := ya*
Modelica.Media.Air.ReferenceAir.Air_Utilities.Transport.lambda_dT(
da, T) + yd*lambdad;
else
dd :=
Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.rho_pT(pd,
T);
ya := da/(da + dd);
yd := 1 - ya;
lambda := ya*
Modelica.Media.Air.ReferenceAir.Air_Utilities.Transport.lambda_dT(
da, T) + yd*
Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.cond_dT(
dd, T);
end if;
else
if (T < 273.16) then
dd := pd/(Modelica.Media.Air.ReferenceMoistAir.steam.R_s*T);
df :=
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.rho_pT(
p, T);
yf := (xw - xws)/df/((1 + xws)/(da + dd) + (xw - xws)/df);
ya := (1 - yf)/(1 + dd/da);
yd := 1 - (ya + yf);
Tred := T/coef.epsilon;
Omega := coef.w[1] + coef.w[2]*Tred + coef.w[3]*Modelica.Math.exp(
coef.w[4]*Tred)/(coef.w[5] + Tred);
cp := coef.a[1] + coef.a[2]*T + coef.a[3]*T^2 + coef.a[4]*T^3 +
coef.a[5]*T^4;
Eu := 0.35424*cp + 0.1144;
lambdad := 0.083232*sqrt(T/coef.M)/(coef.sigma^2*Omega)*Eu;
lambda := ya*
Modelica.Media.Air.ReferenceAir.Air_Utilities.Transport.lambda_dT(
da, T) + yd*lambdad + yf*2.21;
else
dd :=
Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.rho_pT(pd,
T);
df := Modelica.Media.Water.IF97_Utilities.rho_pT(p, T);
yf := (xw - xws)/df/((1 + xws)/(da + dd) + (xw - xws)/df);
ya := (1 - yf)/(1 + dd/da);
yd := 1 - (ya + yf);
lambda := ya*
Modelica.Media.Air.ReferenceAir.Air_Utilities.Transport.lambda_dT(
da, T) + yd*
Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.cond_dT(
dd, T) + yf*
Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.cond_dT(
df, T);
end if;
end if;
end lambda_pTX;
end Transport;
package VirialCoefficients
"Virial and cross-virial coefficients of air and water"
extends Modelica.Icons.BasesPackage;
function Baa_dT "Second molar virial coefficient of dry air"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
output SI.MolarVolume baa "Second virial coefficient";
protected
final constant Real[19] N={0.118160747229,0.713116392079,-0.161824192067E+001,
0.714140178971E-001,-0.865421396646E-001,0.134211176704,
0.112626704218E-001,-0.420533228842E-001,0.349008431982E-001,
0.164957183186E-003,-0.101365037912,-0.173813690970,-0.472103183731E-001,
-0.122523554253E-001,-0.146629609713,-0.316055879821E-001,
0.233594806142E-003,0.148287891978E-001,-0.938782884667E-002};
final constant Integer[19] i={1,1,1,2,3,3,4,4,4,6,1,3,5,6,1,3,11,1,3};
final constant Real[19] j={0,0.33,1.01,0,0,0.15,0,0.2,0.35,1.35,1.6,0.8,
0.95,1.25,3.6,6,3.25,3.5,15};
Real tau=ReferenceAir.Air_Utilities.Basic.Constants.Tred/T;
algorithm
baa := 0;
for k in 1:19 loop
baa := if (i[k] == 1) then baa + N[k]*tau^j[k] else baa;
end for;
baa := 1/ReferenceAir.Air_Utilities.Basic.Constants.rhored*baa;
end Baa_dT;
function Baw_dT "Second molar cross-virial coefficient"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
output SI.MolarVolume baw
"Second cross-virial coefficient";
protected
final constant Real[3] a={0.665687E+002,-0.238834E+003,-0.176755E+003};
final constant Real[3] b={-0.237,-1.048,-3.183};
Real theta;
algorithm
baw := 0;
theta := T/100;
for k in 1:3 loop
baw := baw + a[k]*theta^b[k];
end for;
baw := baw*1E-006;
end Baw_dT;
function Bww_dT "Second molar virial coefficient of water"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
output SI.MolarVolume bww "Second virial coefficient";
protected
final constant Real[56] N={0.12533547935523E-001,0.78957634722828E+001,
-0.87803203303561E+001,0.31802509345418,-0.26145533859358,-0.78199751687981E-002,
0.88089493102134E-002,-0.66856572307965,0.20433810950965,-0.66212605039687E-004,
-0.19232721156002,-0.25709043003438,0.16074868486251,-0.40092828925807E-001,
0.39343422603254E-006,-0.75941377088144E-005,0.56250979351888E-003,
-0.15608652257135E-004,0.11537996422951E-008,0.36582165144204E-006,
-0.13251180074668E-011,-0.62639586912454E-009,-0.10793600908932,
0.17611491008752E-001,0.22132295167546,-0.40247669763528,
0.58083399985759,0.49969146990806E-002,-0.31358700712549E-001,-0.74315929710341,
0.4780732991548,0.20527940895948E-001,-0.13636435110343,
0.14180634400617E-001,0.83326504880713E-002,-0.29052336009585E-001,
0.38615085574206E-001,-0.20393486513704E-001,-0.16554050063734E-002,
0.19955571979541E-002,0.15870308324157E-003,-0.1638856834253E-004,
0.43613615723811E-001,0.34994005463765E-001,-0.76788197844621E-001,
0.22446277332006E-001,-0.62689710414685E-004,-0.55711118565645E-009,
-0.19905718354408,0.31777497330738,-0.11841182425981,-0.31306260323435E+002,
0.31546140237781E+002,-0.25213154341695E+004,-0.14874640856724,
0.31806110878444};
final constant Integer[51] c={0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,6,6,6,6};
final constant Integer[54] dd={1,1,1,2,2,3,4,1,1,1,2,2,3,4,4,5,7,9,10,
11,13,15,1,2,2,2,3,4,4,4,5,6,6,7,9,9,9,9,9,10,10,12,3,4,4,5,14,3,6,
6,6,3,3,3};
final constant Real[54] t={-0.5,0.875,1.0,0.5,0.75,0.375,1.0,4.0,6.0,
12.0,1.0,5.0,4.0,2.0,13.0,9.0,3.0,4.0,11.0,4.0,13.0,1.0,7.0,1.0,9.0,
10.0,10.0,3.0,7.0,10.0,10.0,6.0,10.0,10.0,1.0,2.0,3.0,4.0,8.0,6.0,
9.0,8.0,16.0,22.0,23.0,23.0,10.0,50.0,44.0,46.0,50.0,0.0,1.0,4.0};
final constant Integer[54] alpha={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,
20,20};
final constant Real[56] beta={0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,150,150,250,0.3,0.3};
final constant Real[54] gamma={0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.21,1.21,1.25};
final constant Integer[54] epsilon={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
1,1};
final constant Real[56] a={0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.5,3.5};
final constant Real[56] b={0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.85,0.95};
final constant Real[56] AA={0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.32,0.32};
final constant Real[56] BB={0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.2};
final constant Integer[56] CC={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
28,32};
final constant Integer[56] DD={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
700,800};
Real Delta55=0;
Real Delta56=0;
Real theta55=0;
Real theta56=0;
Real psi55=0;
Real psi56=0;
Real Delta55delta=0;
Real Delta56delta=0;
Real Deltab55delta=0;
Real Deltab56delta=0;
Real psi55delta=0;
Real psi56delta=0;
Real tau=Water95_Utilities.Constants.Tred/T;
algorithm
bww := 0;
theta55 := (1 - tau) + AA[55];
theta56 := (1 - tau) + AA[56];
psi55 := exp(-CC[55] - DD[55]*(tau - 1)^2);
psi56 := exp(-CC[56] - DD[56]*(tau - 1)^2);
Delta55 := theta55^2 + BB[55];
Delta56 := theta56^2 + BB[56];
Delta55delta := -(AA[55]*theta55*2/beta[55] + 2*BB[55]*a[55]);
Delta56delta := -(AA[56]*theta56*2/beta[56] + 2*BB[56]*a[56]);
Deltab55delta := b[55]*Delta55^(b[55] - 1)*Delta55delta;
Deltab56delta := b[56]*Delta56^(b[56] - 1)*Delta56delta;
psi55delta := 2*CC[55]*psi55;
psi56delta := 2*CC[56]*psi56;
for k in 1:7 loop
bww := if (dd[k] == 1) then bww + N[k]*tau^t[k] else bww;
end for;
for k in 8:51 loop
bww := if (dd[k] == 1) then bww + N[k]*tau^t[k]*dd[k] else bww;
end for;
for k in 52:54 loop
bww := if (dd[k] == 1) then bww + N[k]*tau^t[k]*exp(-alpha[k]*epsilon[
k]^2 - beta[k]*(tau - gamma[k])^2) else bww;
end for;
bww := (bww + N[55]*Delta55^b[55]*psi55 + N[56]*Delta56^b[56]*psi56)/
Modelica.Media.Air.ReferenceMoistAir.Utilities.Water95_Utilities.Constants.rhored
*Modelica.Media.Air.ReferenceMoistAir.Utilities.Water95_Utilities.Constants.MM;
end Bww_dT;
function Caaa_dT "Third molar virial coefficient of dry air"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
output SI.MolarVolume caaa "Third virial coefficient";
protected
final constant Real[19] N={0.118160747229,0.713116392079,-0.161824192067E+001,
0.714140178971E-001,-0.865421396646E-001,0.134211176704,
0.112626704218E-001,-0.420533228842E-001,0.349008431982E-001,
0.164957183186E-003,-0.101365037912,-0.173813690970,-0.472103183731E-001,
-0.122523554253E-001,-0.146629609713,-0.316055879821E-001,
0.233594806142E-003,0.148287891978E-001,-0.938782884667E-002};
final constant Integer[19] i={1,1,1,2,3,3,4,4,4,6,1,3,5,6,1,3,11,1,3};
final constant Real[19] j={0,0.33,1.01,0,0,0.15,0,0.2,0.35,1.35,1.6,0.8,
0.95,1.25,3.6,6,3.25,3.5,15};
final constant Integer[19] l={0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3};
Real tau=ReferenceAir.Air_Utilities.Basic.Constants.Tred/T;
algorithm
caaa := 0;
for k in 1:10 loop
caaa := if (i[k] == 2) then caaa + 2*N[k]*tau^j[k] else caaa;
end for;
for k in 11:19 loop
caaa := if (i[k] == 2) then caaa + 2*N[k]*tau^j[k] elseif ((i[k] == 1)
and (l[k] == 1)) then caaa - 2*N[k]*tau^j[k] else caaa;
end for;
caaa := 1/ReferenceAir.Air_Utilities.Basic.Constants.rhored^2*caaa;
end Caaa_dT;
function Caaw_dT "Third molar cross-virial coefficient"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
output Real caaw "Third cross-virial coefficient";
protected
final constant Real[5] c={0.482737E+003,0.105678E+006,-0.656394E+008,
0.294442E+011,-0.319317E+013};
Real theta=T;
algorithm
caaw := 0;
for k in 1:5 loop
caaw := caaw + c[k]*theta^(1 - k);
end for;
caaw := caaw*1E-012;
end Caaw_dT;
function Caww_dT "Third molar cross-virial coefficient"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
output Real caww "Third cross-virial coefficient";
protected
final constant Real[4] dd={-0.1072887E+002,0.347804E+004,-0.383383E+006,
0.33406E+008};
Real theta=T;
algorithm
caww := 0;
for k in 1:4 loop
caww := caww + dd[k]*theta^(1 - k);
end for;
caww := -exp(caww)*1E-012;
end Caww_dT;
function Cwww_dT "Third molar virial coefficient of water"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
output SI.MolarVolume cwww "Third virial coefficient";
protected
final constant Real[56] N={0.12533547935523E-001,0.78957634722828E+001,
-0.87803203303561E+001,0.31802509345418,-0.26145533859358,-0.78199751687981E-002,
0.88089493102134E-002,-0.66856572307965,0.20433810950965,-0.66212605039687E-004,
-0.19232721156002,-0.25709043003438,0.16074868486251,-0.40092828925807E-001,
0.39343422603254E-006,-0.75941377088144E-005,0.56250979351888E-003,
-0.15608652257135E-004,0.11537996422951E-008,0.36582165144204E-006,
-0.13251180074668E-011,-0.62639586912454E-009,-0.10793600908932,
0.17611491008752E-001,0.22132295167546,-0.40247669763528,
0.58083399985759,0.49969146990806E-002,-0.31358700712549E-001,-0.74315929710341,
0.4780732991548,0.20527940895948E-001,-0.13636435110343,
0.14180634400617E-001,0.83326504880713E-002,-0.29052336009585E-001,
0.38615085574206E-001,-0.20393486513704E-001,-0.16554050063734E-002,
0.19955571979541E-002,0.15870308324157E-003,-0.1638856834253E-004,
0.43613615723811E-001,0.34994005463765E-001,-0.76788197844621E-001,
0.22446277332006E-001,-0.62689710414685E-004,-0.55711118565645E-009,
-0.19905718354408,0.31777497330738,-0.11841182425981,-0.31306260323435E+002,
0.31546140237781E+002,-0.25213154341695E+004,-0.14874640856724,
0.31806110878444};
final constant Integer[51] c={0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,6,6,6,6};
final constant Integer[54] dd={1,1,1,2,2,3,4,1,1,1,2,2,3,4,4,5,7,9,10,
11,13,15,1,2,2,2,3,4,4,4,5,6,6,7,9,9,9,9,9,10,10,12,3,4,4,5,14,3,6,
6,6,3,3,3};
final constant Real[54] t={-0.5,0.875,1.0,0.5,0.75,0.375,1.0,4.0,6.0,
12.0,1.0,5.0,4.0,2.0,13.0,9.0,3.0,4.0,11.0,4.0,13.0,1.0,7.0,1.0,9.0,
10.0,10.0,3.0,7.0,10.0,10.0,6.0,10.0,10.0,1.0,2.0,3.0,4.0,8.0,6.0,
9.0,8.0,16.0,22.0,23.0,23.0,10.0,50.0,44.0,46.0,50.0,0.0,1.0,4.0};
final constant Integer[54] alpha={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,
20,20};
final constant Real[56] beta={0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,150,150,250,0.3,0.3};
final constant Real[54] gamma={0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.21,1.21,1.25};
final constant Integer[54] epsilon={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
1,1};
final constant Real[56] a={0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.5,3.5};
final constant Real[56] b={0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.85,0.95};
final constant Real[56] AA={0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.32,0.32};
final constant Real[56] BB={0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.2,0.2};
final constant Integer[56] CC={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
28,32};
final constant Integer[56] DD={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
700,800};
Real Delta55=0;
Real Delta56=0;
Real theta55=0;
Real theta56=0;
Real psi55=0;
Real psi56=0;
Real Delta55delta=0;
Real Delta56delta=0;
Real Deltab55delta=0;
Real Deltab56delta=0;
Real psi55delta=0;
Real psi56delta=0;
Real Delta55deltadelta=0;
Real Delta56deltadelta=0;
Real Deltab55deltadelta=0;
Real Deltab56deltadelta=0;
Real psi55deltadelta=0;
Real psi56deltadelta=0;
Real tau=Water95_Utilities.Constants.Tred/T;
algorithm
cwww := 0;
theta55 := (1 - tau) + AA[55];
theta56 := (1 - tau) + AA[56];
psi55 := exp(-CC[55] - DD[55]*(tau - 1)^2);
psi56 := exp(-CC[56] - DD[56]*(tau - 1)^2);
Delta55 := theta55^2 + BB[55];
Delta56 := theta56^2 + BB[56];
Delta55delta := -(AA[55]*theta55*2/beta[55] + 2*BB[55]*a[55]);
Delta56delta := -(AA[56]*theta56*2/beta[56] + 2*BB[56]*a[56]);
Deltab55delta := b[55]*Delta55^(b[55] - 1)*Delta55delta;
Deltab56delta := b[56]*Delta56^(b[56] - 1)*Delta56delta;
psi55delta := 2*CC[55]*psi55;
psi56delta := 2*CC[56]*psi56;
Delta55deltadelta := -Delta55delta + AA[55]^2*2/beta[55]^2 + AA[55]*
theta55*4/beta[55]*(1/(2*beta[55]) - 1) + 4*BB[55]*a[55]*(a[55] - 1);
Delta56deltadelta := -Delta56delta + AA[56]^2*2/beta[56]^2 + AA[56]*
theta56*4/beta[56]*(1/(2*beta[56]) - 1) + 4*BB[56]*a[56]*(a[56] - 1);
Deltab55deltadelta := b[55]*(Delta55^(b[55] - 1)*Delta55deltadelta + (b[
55] - 1)*Delta55^(b[55] - 2)*Delta55delta^2);
Deltab56deltadelta := b[56]*(Delta56^(b[56] - 1)*Delta56deltadelta + (b[
56] - 1)*Delta56^(b[56] - 2)*Delta56delta^2);
psi55deltadelta := (2*CC[55] - 1)*2*CC[55]*psi55;
psi56deltadelta := (2*CC[56] - 1)*2*CC[56]*psi56;
cwww := 0;
for k in 1:7 loop
cwww := if (dd[k] == 2) then cwww + 2*N[k]*tau^t[k] else cwww;
end for;
for k in 8:51 loop
cwww := if (dd[k] == 2) then cwww + 2*N[k]*tau^t[k] elseif ((dd[k]
== 1) and (c[k] == 1)) then cwww - 2*N[k]*tau^t[k] else cwww;
end for;
cwww := cwww + N[55]*(Delta55^b[55]*2*psi55delta + 2*Deltab55delta*
psi55) + N[56]*(Delta56^b[56]*2*psi56delta + 2*Deltab56delta*psi56);
cwww := Modelica.Media.Air.ReferenceMoistAir.Utilities.Water95_Utilities.Constants.MM
^2/Modelica.Media.Air.ReferenceMoistAir.Utilities.Water95_Utilities.Constants.rhored
^2*cwww*1E-006;
end Cwww_dT;
end VirialCoefficients;
package ReactionIndices
"Parameters and equations for determining reaction variables (dissociation VDI 4670)"
extends Modelica.Icons.BasesPackage;
final constant Real[6] AA={20413.2,1075.5,165.95,1491.75,3235.34,4.5542};
final constant SI.Temperature[6] BB={-33086.5,-30283.3,-19526.8,
-27488.0,-30807.8,-10973.6};
final constant SI.MolarHeatCapacity[6] CC={-19.5,-65.2,-18.7,
-3.6,-21.8,-5.6};
final constant SI.MolarInternalEnergy[6] DD={-1.15E+005,
3.03E+005,5.72E+004,3.93E+005,1.5E+005,1.62E+004};
final constant Real[6] EE(each unit="J.K/mol") = {9.483E+009,7.277E+009,
3.136E+009,5.826E+009,7.659E+009,9.94E+008};
final constant SI.AbsolutePressure p0=101325
"Reference pressure";
function U2 "Reaction index for formation of H2"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MoleFraction[4] moleFraction "Mole fractions";
output Real u "Reaction index for H2";
algorithm
u := AA[2]*moleFraction[1]/sqrt(moleFraction[3])*(p/p0)^(-0.5)*
Modelica.Math.exp(BB[2]/T);
end U2;
function U3 "Reaction index for formation of OH"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MoleFraction[4] moleFraction "Mole fractions";
output Real u "Reaction index for OH";
algorithm
u := AA[3]*sqrt(moleFraction[1])*sqrt(sqrt(moleFraction[3]))*(p/p0)^(-0.25)
*Modelica.Math.exp(BB[3]/T);
end U3;
function U4 "Reaction index for formation of H"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MoleFraction[4] moleFraction "Mole fractions";
output Real u "Reaction index for H";
algorithm
u := AA[4]*sqrt(U2(
p,
T,
moleFraction))*(p/p0)^(-0.5)*Modelica.Math.exp(BB[4]/T);
end U4;
function U5 "Reaction index for formation of O"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MoleFraction[4] moleFraction "Mole fractions";
output Real u "Reaction index for O";
algorithm
u := AA[5]*sqrt(moleFraction[3])*(p/p0)^(-0.5)*Modelica.Math.exp(BB[5]/
T);
end U5;
function U6 "Reaction index for formation of NO"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MoleFraction[4] moleFraction "Mole fractions";
output Real u "Reaction index for NO";
algorithm
u := AA[6]*sqrt(moleFraction[2]*moleFraction[3])*Modelica.Math.exp(BB[6]
/T);
end U6;
function V2 "Energy index for formation of H2"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature";
output SI.MolarHeatCapacity v "Energy index for H2";
algorithm
v := CC[2] + DD[2]/T + EE[2]/T^2;
end V2;
function V3 "Energy index for formation of OH"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature";
output SI.MolarHeatCapacity v "Energy index for OH";
algorithm
v := CC[3] + DD[3]/T + EE[3]/T^2;
end V3;
function V4 "Energy index for formation of H"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature";
output SI.MolarHeatCapacity v "Energy index for H";
algorithm
v := CC[4] + DD[4]/T + EE[4]/T^2;
end V4;
function V5 "Energy index for formation of O"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature";
output SI.MolarHeatCapacity v "Energy index for O";
algorithm
v := CC[5] + DD[5]/T + EE[5]/T^2;
end V5;
function V6 "Energy index for formation of NO"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature";
output SI.MolarHeatCapacity v "Energy index for NO";
algorithm
v := CC[6] + DD[6]/T + EE[6]/T^2;
end V6;
function U2_der "Derivative reaction index for formation of H2"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MoleFraction[4] moleFraction "Mole fractions";
input Real p_der "Derivative of pressure";
input Real T_der "Derivative of temperature";
input Real[4] moleFraction_der "Derivative of mole fractions";
output Real u_der "Derivative of reaction index for H2";
protected
Real o[4];
algorithm
o[1] := AA[2]*sqrt(moleFraction[3])*(p/p0)^(-0.5)*Modelica.Math.exp(BB[
2]/T);
o[2] := -0.5*AA[2]*moleFraction[1]/(moleFraction[3])^1.5*(p/p0)^(-0.5)*
Modelica.Math.exp(BB[2]/T);
o[3] := -0.5*AA[2]*moleFraction[1]/sqrt(moleFraction[3])*sqrt(p0)*p^(-1.5)
*Modelica.Math.exp(BB[2]/T);
o[4] := -BB[2]*AA[2]*moleFraction[1]/sqrt(moleFraction[3])*(p/p0)^(-0.5)
*Modelica.Math.exp(BB[2]/T)/T^2;
u_der := o[1]*moleFraction_der[1] + o[2]*moleFraction_der[3] + o[3]*
p_der + o[4]*T_der;
end U2_der;
function U3_der "Derivative of reaction index for formation of OH"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MoleFraction[4] moleFraction "Mole fractions";
input Real p_der "Derivative of pressure";
input Real T_der "Derivative of temperature";
input Real[4] moleFraction_der "Derivative of mole fractions";
output Real u_der "Derivative of reaction index for OH";
protected
Real o[4];
algorithm
o[1] := 0.5*AA[3]/sqrt(moleFraction[1])*sqrt(sqrt(moleFraction[3]))*(p/
p0)^(-0.25)*Modelica.Math.exp(BB[3]/T);
o[2] := 0.25*AA[3]*sqrt(moleFraction[1])/(moleFraction[3])^0.75*(p/p0)^
(-0.25)*Modelica.Math.exp(BB[3]/T);
o[3] := -0.25*AA[3]*sqrt(moleFraction[1])*sqrt(sqrt(moleFraction[3]))*
sqrt(sqrt(p0))*p^(-1.25)*Modelica.Math.exp(BB[3]/T);
o[4] := BB[3]*AA[3]*moleFraction[1]/sqrt(sqrt(moleFraction[3]))*(p/p0)^
(-0.25)*Modelica.Math.exp(BB[3]/T)/T^2;
u_der := o[1]*moleFraction_der[1] + o[2]*moleFraction_der[3] + o[3]*
p_der + o[4]*T_der;
end U3_der;
function U4_der "Derivative of reaction index for formation of H"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MoleFraction[4] moleFraction "Mole fractions";
input Real p_der "Derivative of pressure";
input Real T_der "Derivative of temperature";
input Real[4] moleFraction_der "Derivative of mole fractions";
output Real u_der "Derivative of reaction index for H";
protected
Real o[3];
algorithm
o[1] := 0.5*AA[4]/sqrt(U2(
p,
T,
moleFraction))*U2_der(
p,
T,
moleFraction,
p_der,
T_der,
moleFraction_der)*(p/p0)^(-0.5)*Modelica.Math.exp(BB[4]/T);
o[2] := -0.5*AA[4]*sqrt(U2(
p,
T,
moleFraction))*sqrt(p0)*p^(-1.5)*Modelica.Math.exp(BB[4]/T);
o[3] := BB[4]*AA[4]*sqrt(U2(
p,
T,
moleFraction))*(p/p0)^(-0.5)*Modelica.Math.exp(BB[4]/T)/T^2;
u_der := o[1] + o[2]*p_der + o[3]*T_der;
end U4_der;
function U5_der "Derivative of reaction index for formation of O"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MoleFraction[4] moleFraction "Mole fractions";
input Real p_der "Derivative of pressure";
input Real T_der "Derivative of temperature";
input Real[4] moleFraction_der "Derivative of mole fractions";
output Real u_der "Derivative of reaction index for O";
protected
Real o[3];
algorithm
o[1] := 0.5*AA[5]/sqrt(moleFraction[3])*(p/p0)^(-0.5)*Modelica.Math.exp(
BB[5]/T);
o[2] := -0.5*AA[5]*sqrt(moleFraction[3])*sqrt(p0)*p^(-1.5)*
Modelica.Math.exp(BB[5]/T);
o[3] := BB[5]*AA[5]*sqrt(moleFraction[3])*(p/p0)^(-0.5)*
Modelica.Math.exp(BB[5]/T)/T^2;
u_der := o[1]*moleFraction[3] + o[2]*p_der + o[3]*T_der;
end U5_der;
function U6_der "Derivative of reaction index for formation of NO"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MoleFraction[4] moleFraction "Mole fractions";
input Real p_der "Derivative of pressure";
input Real T_der "Derivative of temperature";
input Real[4] moleFraction_der "Derivative of mole fractions";
output Real u_der "Derivative of reaction index for NO";
protected
Real o[3];
algorithm
o[1] := 0.5*AA[6]/sqrt(moleFraction[2]*moleFraction[3])*moleFraction[3]
*Modelica.Math.exp(BB[6]/T);
o[2] := 0.5*AA[6]/sqrt(moleFraction[2]*moleFraction[3])*moleFraction[2]
*Modelica.Math.exp(BB[6]/T);
o[3] := BB[6]*AA[6]*sqrt(moleFraction[2]*moleFraction[3])*
Modelica.Math.exp(BB[6]/T)/T^2;
u_der := o[1]*moleFraction[2] + o[2]*moleFraction[3] + o[3]*T_der;
end U6_der;
function V2_der "Derivative of energy index for formation of H2"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature";
input Real T_der "Derivative of temperature";
output Real v_der "Derivative energy index for H2";
algorithm
v_der := (-DD[2]/T^2 - 2*EE[2]/T^3)*T_der;
end V2_der;
function V3_der "Derivative energy index for formation of OH"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature";
input Real T_der "Derivative of temperature";
output Real v_der "Derivative energy index for OH";
algorithm
v_der := (-DD[3]/T^2 - 2*EE[3]/T^3)*T_der;
end V3_der;
function V4_der "Derivative of energy index for formation of H"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature";
input Real T_der "Derivative of temperature";
output Real v_der "Derivative energy index for H";
algorithm
v_der := (-DD[4]/T^2 - 2*EE[4]/T^3)*T_der;
end V4_der;
function V5_der "Derivative of energy index for formation of O"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature";
input Real T_der "Derivative of temperature";
output Real v_der "Derivative energy index for O";
algorithm
v_der := (-DD[5]/T^2 - 2*EE[5]/T^3)*T_der;
end V5_der;
function V6_der "Derivative of energy index for formation of NO"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature";
input Real T_der "Derivative of temperature";
output Real v_der "Derivative energy index for NO";
algorithm
v_der := (-DD[6]/T^2 - 2*EE[6]/T^3)*T_der;
end V6_der;
end ReactionIndices;
package IF97_new "Workaround for IF97 avoiding the region validity checks for region 2"
extends Modelica.Icons.BasesPackage;
final constant MolarMass molarMass=0.018015257;
function g2 = Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.g2(
final checkLimits=false)
"Gibbs function for region 2: g(p,T)";
function h_pT "Specific enthalpy as function or pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Integer region=0
"If 0, region is unknown, otherwise known and this input (unused)";
output SI.SpecificEnthalpy h "Specific enthalpy";
protected
Modelica.Media.Common.GibbsDerivs g;
algorithm
g := Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.g2(p, T);
h := g.R_s*T*g.tau*g.gtau;
end h_pT;
function s_pT "Temperature as function of pressure and temperature for region 2"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Integer region=0
"If 0, region is unknown, otherwise known and this input (unused)";
output SI.SpecificEntropy s "Specific entropy";
protected
Modelica.Media.Common.GibbsDerivs g;
algorithm
g := Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.g2(p, T);
s := g.R_s*(g.tau*g.gtau - g.g);
end s_pT;
function cp_pT
"Specific heat capacity at constant pressure as function of pressure and temperature for region 2"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Integer region=0
"If 0, region is unknown, otherwise known and this input (unused)";
output SI.SpecificHeatCapacity cp
"Specific heat capacity";
protected
Modelica.Media.Common.GibbsDerivs g;
algorithm
g := Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.g2(p, T);
cp := -g.R_s*g.tau*g.tau*g.gtautau;
end cp_pT;
function cv_pT
"Specific heat capacity at constant volume as function of pressure and temperature for region 2"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Integer region=0
"If 0, region is unknown, otherwise known and this input (unused)";
output SI.SpecificHeatCapacity cv
"Specific heat capacity";
protected
Modelica.Media.Common.GibbsDerivs g;
algorithm
g := Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.g2(p, T);
cv := g.R_s*(-g.tau*g.tau*g.gtautau + ((g.gpi - g.tau*g.gtaupi)*(g.gpi -
g.tau*g.gtaupi)/g.gpipi));
end cv_pT;
function rho_pT "Density as function or pressure and temperature for region 2"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
output SI.Density rho "Density";
protected
Modelica.Media.Common.GibbsDerivs g;
algorithm
g := Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.g2(p, T);
rho := p/(g.R_s*T*g.pi*g.gpi);
end rho_pT;
function rho_pT_der "Derivative function of rho_pT for region 2"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Real p_der "Derivative of pressure";
input Real T_der "Derivative of temperature";
output Real rho_der "Derivative of density";
protected
Modelica.Media.Common.GibbsDerivs g;
SI.Density d;
Real vp;
Real vt;
algorithm
g := Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.g2(p, T);
vt := g.R_s/p*(g.pi*g.gpi - g.tau*g.pi*g.gtaupi);
vp := g.R_s*T/(p*p)*g.pi*g.pi*g.gpipi;
d := p/(g.R_s*T*g.pi*g.gpi);
rho_der := (-d^2*vp)*p_der + (-d^2*vt)*T_der;
end rho_pT_der;
function visc_dT = Modelica.Media.Water.IF97_Utilities.BaseIF97.Transport.visc_dTp(
final p=0, final phase=0, final checkLimits=false)
"Dynamic viscosity eta(d,T), industrial formulation";
function cond_dT = Modelica.Media.Water.IF97_Utilities.BaseIF97.Transport.cond_dTp(
final p=0, final phase=0, final industrialMethod=true, final checkLimits=false)
"Thermal conductivity lam(d,T), industrial formulation";
function h_pT_der "Derivative function of h_pT for region 2"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Integer region=0
"If 0, region is unknown, otherwise known and this input (unused)";
input Real p_der "Derivative of pressure";
input Real T_der "Derivative of temperature";
output Real h_der "Derivative of specific enthalpy";
protected
Modelica.Media.Common.GibbsDerivs g;
SI.Density rho;
Real vt;
algorithm
g := Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.g2(p, T);
vt := g.R_s/p*(g.pi*g.gpi - g.tau*g.pi*g.gtaupi);
rho := max(p/(g.R_s*T*g.pi*g.gpi), 1e-9);
h_der := (1/rho - T*vt)*p_der - g.R_s*g.tau*g.tau*g.gtautau*T_der;
end h_pT_der;
end IF97_new;
package Water95_Utilities
"Utility functions from IAPWS95 required for air temperatures below 273.15 K"
extends Modelica.Icons.BasesPackage;
constant Common.FundamentalConstants Constants(
R_bar=8.314371,
R_s=461.51805,
MM=18.015268E-003,
rhored=322,
Tred=647.096,
pred=22064000,
h_off=0.0,
s_off=0.0);
constant Modelica.Media.Interfaces.Types.TwoPhase.FluidConstants
waterConstants(
chemicalFormula="H2O",
structureFormula="H2O",
casRegistryNumber="7732-18-5",
iupacName="oxidane",
molarMass=0.018015268,
criticalTemperature=647.096,
criticalPressure=22064.0e3,
criticalMolarVolume=1/322.0*0.018015268,
triplePointTemperature=273.16,
triplePointPressure=611.657,
normalBoilingPoint=373.124,
meltingPoint=273.15,
acentricFactor=0.344,
dipoleMoment=1.8,
hasCriticalData=true,
hasIdealGasHeatCapacity=false,
hasDipoleMoment=true,
hasFundamentalEquation=true,
hasLiquidHeatCapacity=true,
hasSolidHeatCapacity=false,
hasAccurateViscosityData=true,
hasAccurateConductivityData=true,
hasVapourPressureCurve=false,
hasAcentricFactor=true,
HCRIT0=0.0,
SCRIT0=0.0,
deltah=0.0,
deltas=0.0);
function psat "Saturation pressure"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature";
output SI.AbsolutePressure p "Pressure";
protected
Real theta_s;
Real A;
Real B;
Real C;
final constant Real[10] n={0.11670521452767E+004,-0.72421316703206E+006,
-0.17073846940092E+002,0.1202082470247E+005,-0.32325550322333E+007,
0.1491510861353E+002,-0.48232657361591E+004,0.40511340542057E+006,-0.23855557567849,
0.65017534844798E+003};
algorithm
theta_s := min(T, 553) + n[9]/(min(T, 553) - n[10]);
A := theta_s^2 + n[1]*theta_s + n[2];
B := n[3]*theta_s^2 + n[4]*theta_s + n[5];
C := n[6]*theta_s^2 + n[7]*theta_s + n[8];
p := (2*C/(-B + sqrt(B^2 - 4*A*C)))^4*1E+006;
end psat;
function Tsat "Saturation temperature"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
output SI.Temperature T "Temperature";
protected
Real beta;
Real D;
Real E;
Real F;
Real G;
final constant Real[10] n={0.11670521452767E+004,-0.72421316703206E+006,
-0.17073846940092E+002,0.1202082470247E+005,-0.32325550322333E+007,
0.1491510861353E+002,-0.48232657361591E+004,0.40511340542057E+006,-0.23855557567849,
0.65017534844798E+003};
algorithm
beta := (p*1E-006)^0.25;
E := beta^2 + n[3]*beta + n[6];
F := n[1]*beta^2 + n[4]*beta + n[7];
G := n[2]*beta^2 + n[5]*beta + n[8];
D := 2*G/(-F - sqrt(F^2 - 4*E*G));
T := (n[10] + D - sqrt((n[10] + D)^2 - 4*(n[9] + n[10]*D)))/2;
end Tsat;
function psat_der "Saturation pressure"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature";
input Real T_der "Derivative of temperature";
output Real p_der "Derivative of pressure w.r.t. temperature";
protected
Real theta_s, theta_s_der;
Real A, A_der;
Real B, B_der;
Real C, C_der, o_der[3];
final constant Real[10] n={0.11670521452767E+004,-0.72421316703206E+006,
-0.17073846940092E+002,0.1202082470247E+005,-0.32325550322333E+007,
0.1491510861353E+002,-0.48232657361591E+004,0.40511340542057E+006,-0.23855557567849,
0.65017534844798E+003};
algorithm
theta_s := min(T, 553) + n[9]/(min(T, 553) - n[10]);
theta_s_der := (1 - n[9]/(min(T, 553) - n[10])^2);
A := theta_s^2 + n[1]*theta_s + n[2];
B := n[3]*theta_s^2 + n[4]*theta_s + n[5];
C := n[6]*theta_s^2 + n[7]*theta_s + n[8];
A_der := 2*theta_s*theta_s_der + n[1]*theta_s_der;
B_der := 2*n[3]*theta_s*theta_s_der + n[4]*theta_s_der;
C_der := 2*n[6]*theta_s*theta_s_der + n[7]*theta_s_der;
o_der[1] := 2*B*B_der - 4*(A*C_der + A_der*C);
o_der[2] := -B_der + 0.5/sqrt(B^2 - 4*A*C)*o_der[1];
o_der[3] := ((2*C_der*(-B + sqrt(B^2 - 4*A*C))) - 2*C*o_der[2])/(-B +
sqrt(B^2 - 4*A*C))^2;
p_der := 4*((2*C/(-B + sqrt(B^2 - 4*A*C))))^3*o_der[3]*1E+006*T_der;
end psat_der;
function Tsat_der "Derivative of saturation temperature"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input Real p_der "Pressure derivative";
output Real T_der "Temperature derivative";
protected
Real beta, beta_der;
Real D, D_der;
Real E, E_der;
Real F, F_der;
Real G, G_der;
Real o_der[2];
final constant Real[10] n={0.11670521452767E+004,-0.72421316703206E+006,
-0.17073846940092E+002,0.1202082470247E+005,-0.32325550322333E+007,
0.1491510861353E+002,-0.48232657361591E+004,0.40511340542057E+006,-0.23855557567849,
0.65017534844798E+003};
algorithm
beta := (p*1E-006)^0.25;
beta_der := 0.25/(p*1E-006)^0.75*1E-006;
E := beta^2 + n[3]*beta + n[6];
E_der := 2*beta*beta_der + n[3];
F := n[1]*beta^2 + n[4]*beta + n[7];
F_der := 2*n[1]*beta*beta_der + n[4];
G := n[2]*beta^2 + n[5]*beta + n[8];
G_der := 2*n[2]*beta*beta_der + n[5];
D := 2*G/(-F - sqrt(F^2 - 4*E*G));
o_der[1] := 2*F*F_der - 4*(E*G_der + E_der*G);
o_der[2] := -F_der - 0.5/sqrt(F^2 - 4*E*G)*o_der[1];
D_der := ((2*G_der*(-F - sqrt(F^2 - 4*E*G))) - 2*G*o_der[2])/(-F - sqrt(
F^2 - 4*E*G))^2;
T_der := (D_der - 0.5/sqrt((n[10] + D)^2 - 4*(n[9] + n[10]*D))*(2*D*
D_der - 2*n[10]*D_der))/2*p_der;
end Tsat_der;
end Water95_Utilities;
package Ice09_Utilities
"Utility functions from IAPWS09 required for ice in air"
extends Modelica.Icons.BasesPackage;
package Basic "Fundamental equation of state"
extends Modelica.Icons.BasesPackage;
record IceConstants
extends Common.FundamentalConstants;
SI.AbsolutePressure p0;
end IceConstants;
constant IceConstants Constants(
R_bar=8.314472,
R_s=461.52364,
MM=18.015268E-003,
rhored=1.0,
Tred=273.16,
pred=611.657,
p0=101325,
h_off=0.0,
s_off=0.0);
function Gibbs "Gibbs equation of state"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Absolute pressure";
input SI.Temperature T "Temperature";
output Common.GibbsDerivs2 g
"Gibbs function and derivatives w.r.t. T and p";
protected
final constant Real[5] g_0={-0.632020233449497E+006,0.655022213658955,
-0.189369929326131E-007,0.339746123271053E-014,-0.556464869058991E-021}
"Coefficients of EOS";
final constant Real s_0=-0.332733756492168E+004 "Coefficient of EOS";
final Complex[2] t={Complex(0.368017112855051E-001,
0.510878114959572E-001),Complex(0.337315741065416,
0.335449415919309)} "Coefficients of EOS";
final constant Complex r_1=Complex(0.447050716285388E+002,
0.656876847463481E+002) "Coefficients of EOS";
final Complex[3] r_2={Complex(-0.725974574329220E+002, -0.781008427112870E+002),
Complex(-0.557107698030123E-004, 0.464578634580806E-004),
Complex(0.234801409215913E-010, -0.285651142904972E-010)}
"Coefficients of EOS";
final Real pi0=Constants.p0/Constants.pred "Reduced pressure";
//temporary variables needed for calculation
Real g0=0.0 "Help variable";
Real g0p=0.0 "Help variable";
Real g0pp=0.0 "Help variable";
Complex r2 "Help variable";
Complex r2p "Help variable";
Complex r2pp "Help variable";
Complex o[12] "Help variable";
algorithm
g.p := p;
g.T := T;
g.R_s := Constants.R_s;
//Reduced pressure
g.pi := g.p/Constants.pred;
//Reduced temperature
g.theta := g.T/Constants.Tred;
//calculate temporary values
//0^0 may result in an error, so we have to use a workaround
g0 := g_0[1];
for k in 2:5 loop
g0 := g0 + g_0[k]*(g.pi - pi0)^(k - 1);
end for;
r2 := r_2[1];
for k in 2:3 loop
r2 := r2 + (r_2[k] * Complex((g.pi - pi0)^(k - 1)));
end for;
//First derivative of g0 w.r.t. pi
g0p := g_0[2]/Constants.pred;
for k in 3:5 loop
g0p := g0p + g_0[k]*(k - 1)/Constants.pred*(g.pi - pi0)^(k - 2);
end for;
//First derivative of r2 w.r.t. pi
r2p := (r_2[2] / Complex(Constants.pred)) + ((r_2[3] / Complex(Constants.pred/2)) * Complex(g.pi - pi0));
//Second derivative of g0 w.r.t. pi
g0pp := g_0[3]*2/Constants.pred^2;
for k in 4:5 loop
g0pp := g0pp + g_0[k]*(k - 1)*(k - 2)/Constants.pred^2*(g.pi - pi0)^(k - 3);
end for;
//Second derivative of g0 w.r.t. pi
r2pp := r_2[3] * Complex(2/Constants.pred^2);
o[1] := (t[1] - Complex(g.theta)) * Modelica.ComplexMath.log(t[1] - Complex(g.theta));
o[2] := (t[1] + Complex(g.theta)) * Modelica.ComplexMath.log(t[1] + Complex(g.theta));
o[3] := (t[2] - Complex(g.theta)) * Modelica.ComplexMath.log(t[2] - Complex(g.theta));
o[4] := (t[2] + Complex(g.theta)) * Modelica.ComplexMath.log(t[2] + Complex(g.theta));
o[5] := (Complex(2) * t[1]) * Modelica.ComplexMath.log(t[1]);
o[6] := (Complex(2) * t[2]) * Modelica.ComplexMath.log(t[2]);
o[7] := Complex(g.theta^2) / t[1];
o[8] := Complex(g.theta^2) / t[2];
o[9] := o[1] + o[2] - o[5] - o[7];
o[10] := o[3] + o[4] - o[6] - o[8];
// //Gibbs equation
// g.g := g0 - s_0*Constants.Tred
// *g.theta + Constants.Tred
// *GibbsComplex.fromReal(r_1*((t[1] - g.theta)*GibbsComplexMath.log(t[1] - g.theta)
// + (t[1] + g.theta)*GibbsComplexMath.log(t[1] + g.theta) - 2*t[1]*
// GibbsComplexMath.log(t[1]) - g.theta^2/t[1]) + r2*((t[2] - g.theta)*
// GibbsComplexMath.log(t[2] - g.theta) + (t[2] + g.theta)*
// GibbsComplexMath.log(t[2] + g.theta) - 2*t[2]*GibbsComplexMath.log(t[2]) -
// g.theta^2/t[2]));
// //Gibbs equation
g.g := g0 - s_0*Constants.Tred*g.theta + Constants.Tred*Modelica.ComplexMath.real((r_1 * o[9]) + (r2 * o[10]));
// //First derivative of g w.r.t. p
// g.gp := g0p + MoMoLib.Water.IAPWS09.Ice09_Utilities.Basic.Constants.Tred*
// ComplexMath.real(r2p*((t[2] - g.theta)*ComplexMath.log(t[2] - g.theta) + (t[
// 2] + g.theta)*ComplexMath.log(t[2] + g.theta) - 2*t[2]*ComplexMath.log(t[2])
// - g.theta^2/t[2]));
// //First derivative of g w.r.t. p
g.gp := g0p + Constants.Tred*Modelica.ComplexMath.real(r2p * o[10]);
// //Second derivative of g w.r.t. p
// g.gpp := g0pp + Constants.Tred
// *GibbsComplex.fromReal(r2pp*((t[2] - g.theta)*GibbsComplexMath.log(t[2] - g.theta)
// + (t[2] + g.theta)*GibbsComplexMath.log(t[2] + g.theta) - 2*t[2]*
// GibbsComplexMath.log(t[2]) - g.theta^2/t[2]));
// //Second derivative of g w.r.t. p
g.gpp := g0pp + Constants.Tred*Modelica.ComplexMath.real(r2pp * o[10]);
// //First derivative of g w.r.t. T
// g.gT := -s_0 + GibbsComplex.fromReal(
// r_1*(+ GibbsComplexMath.log(t[1] + g.theta) - 2*g.theta/t[1] - GibbsComplexMath.log(t[1] - g.theta))
// + r2 *(- GibbsComplexMath.log(t[2] - g.theta) + GibbsComplexMath.log(t[2] + g.theta) - 2*g.theta/t[2]));
o[11] := Modelica.ComplexMath.log(t[1] + Complex(g.theta)) - (Complex(2*g.theta) / t[1]) - Modelica.ComplexMath.log(t[1] - Complex(g.theta));
o[12] := Modelica.ComplexMath.log(t[2] + Complex(g.theta)) - Modelica.ComplexMath.log(t[2] - Complex(g.theta)) - (Complex(2*g.theta) / t[2]);
// //First derivative of g w.r.t. T
g.gT := -s_0 + Modelica.ComplexMath.real((r_1 * o[11]) + (r2 * o[12]));
// //Second derivative of g w.r.t. T
// g.gTT := 1/Constants.Tred*GibbsComplex.fromReal(
// r_1*(1/(t[1] - g.theta) + 1/(t[1] + g.theta) - 2/t[1])
// + r2 *(1/(t[2] - g.theta) + 1/(t[2] + g.theta) - 2/t[2]));
// //Second derivative of g w.r.t. T
g.gTT := 1/Constants.Tred*Modelica.ComplexMath.real(
(r_1 * (((Complex(1) / (t[1] - Complex(g.theta))) + (Complex(1) / (t[1] + Complex(g.theta)))) - (Complex(2) / t[1])))
+ (r2 * (((Complex(1) / (t[2] - Complex(g.theta))) + (Complex(1) / (t[2] + Complex(g.theta)))) - (Complex(2) / t[2]))));
// //Mixed derivative of g w.r.t. T and p
// g.gTp := ComplexMath.real(r2p*(-ComplexMath.log(t[2] - g.theta) +
// ComplexMath.log(t[2] + g.theta) - 2*g.theta/t[2]));
// //Mixed derivative of g w.r.t. T and p
g.gTp := Modelica.ComplexMath.real(r2p * (Modelica.ComplexMath.log(t[2] + Complex(g.theta)) -
((Complex(2*g.theta) / t[2]) + Modelica.ComplexMath.log(t[2] - Complex(g.theta)))));
end Gibbs;
function psub "Sublimation pressure"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature";
output SI.AbsolutePressure p_sub "Pressure";
protected
final constant Real[3] a={-0.212144006E+002,0.273203819E+002,-0.610598130E+001};
final constant Real[3] b={0.333333333E-002,0.120666667E+001,0.170333333E+001};
Real theta=0;
Real sum=0;
algorithm
/*assert(T >= 50 and T < 273.16, "IAPWS-95 medium function psub: input temperature T = "
+ String(T) + " K\n" + "must be in the range 50 <= T < 273.16 K.");*/
theta := T/Constants.Tred;
for k in 1:3 loop
sum := sum + a[k]*theta^b[k];
end for;
p_sub := exp(sum/theta)*Constants.pred;
end psub;
function Tsub "Sublimation temperature"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
output SI.Temperature T_sub "Temperature";
protected
function Tsub_res
extends Modelica.Math.Nonlinear.Interfaces.partialScalarFunction;
input SI.AbsolutePressure p "Pressure";
algorithm
y := Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.Basic.psub(u) - p;
end Tsub_res;
algorithm
T_sub := Modelica.Math.Nonlinear.solveOneNonlinearEquation(
function Tsub_res(p=p),
143.15,
2000.0,
1e-9);
end Tsub;
function psub_der "Derivative of sublimation pressure"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature";
input Real T_der "Derivative of temperature";
output Real p_sub_der "Derivative of pressure";
protected
final constant Real[3] a={-0.212144006E+002,0.273203819E+002,-0.610598130E+001};
final constant Real[3] b={0.333333333E-002,0.120666667E+001,
0.170333333E+001};
Real theta;
Real theta_der;
Real sum=0;
Real sum_der=0;
algorithm
/*assert(T >= 50 and T < 273.16, "IAPWS-95 medium function psub: input temperature T = "
+ String(T) + " K\n" + "must be in the range 50 <= T < 273.16 K.");*/
theta := T/Constants.Tred;
theta_der := 1/Constants.Tred;
for k in 1:3 loop
sum := sum + a[k]*theta^b[k];
sum_der := sum_der + a[k]*b[k]*theta^(b[k] - 1)*theta_der;
end for;
p_sub_der := (sum_der*theta - sum*theta_der)/theta^2*exp(sum/theta)*Constants.pred*T_der;
end psub_der;
end Basic;
function ice09BaseProp_pT
"Intermediate property record for water (p and T preferred states)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
output Common.AuxiliaryProperties aux "Auxiliary record";
protected
Common.GibbsDerivs2 g "Gibbs function and derivatives w.r.t. p and T";
algorithm
aux.p := p;
aux.T := T;
aux.R_s := Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.Basic.Constants.R_s;
g := Basic.Gibbs(aux.p, T);
aux.rho := 1/g.gp;
aux.h := g.g - g.T*g.gT - Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.Basic.Constants.h_off;
aux.s := -g.gT - Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.Basic.Constants.s_off;
aux.cp := -g.T*g.gTT;
aux.cv := aux.cp - g.T/g.gpp*g.gTp^2;
aux.vt := 1/aux.rho*g.gTp/g.gp;
aux.vp := 1/aux.rho*g.gpp/g.gp;
aux.pd := -1/(aux.rho*aux.rho*aux.vp);
aux.pt := -aux.vt/aux.vp;
end ice09BaseProp_pT;
function rho_props_pT "Density as function or pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.Density rho "Density";
algorithm
rho := aux.rho;
end rho_props_pT;
function rho_pT "Density as function or pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
output SI.Density rho "Density";
algorithm
rho := rho_props_pT(
p,
T,
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.ice09BaseProp_pT(
p, T));
end rho_pT;
function rho_pT_der "Derivative function of rho_pT"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
input Real p_der "Derivative of pressure";
input Real T_der "Derivative of temperature";
output Real rho_der "Derivative of density";
algorithm
rho_der := (-aux.rho*aux.rho*aux.vp)*p_der + (-aux.rho*aux.rho*aux.vt)*
T_der;
end rho_pT_der;
function h_props_pT
"Specific enthalpy as function or pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.SpecificEnthalpy h "Specific enthalpy";
algorithm
h := aux.h;
end h_props_pT;
function h_pT "Specific enthalpy as function or pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
output SI.SpecificEnthalpy h "Specific enthalpy";
algorithm
h := h_props_pT(
p,
T,
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.ice09BaseProp_pT(
p, T));
end h_pT;
function h_pT_der "Derivative function of h_pT"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
input Real p_der "Derivative of pressure";
input Real T_der "Derivative of temperature";
output Real h_der "Derivative of specific enthalpy";
algorithm
h_der := (1/aux.rho - aux.T*aux.vt)*p_der + aux.cp*T_der;
end h_pT_der;
function s_props_pT
"Specific entropy as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.SpecificEntropy s "Specific entropy";
algorithm
s := aux.s;
end s_props_pT;
function s_pT "Temperature as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
output SI.SpecificEntropy s "Specific entropy";
algorithm
s := s_props_pT(
p,
T,
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.ice09BaseProp_pT(
p, T));
end s_pT;
function kappa_props_pT
"Isothermal compressibility factor as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.AuxiliaryProperties aux "Auxiliary record";
output SI.IsothermalCompressibility kappa
"Isothermal compressibility factor";
algorithm
kappa := -aux.vp*aux.rho;
end kappa_props_pT;
function kappa_pT
"Isothermal compressibility factor as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
output SI.IsothermalCompressibility kappa
"Isothermal compressibility factor";
algorithm
kappa := kappa_props_pT(
p,
T,
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.ice09BaseProp_pT(
p, T));
end kappa_pT;
end Ice09_Utilities;
function beta_H "Henry's law constant"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
output Real beta_H(unit="1/Pa") "Henry's law constant";
protected
Real[3] A={-9.67578,-9.44833,-8.40954};
Real[3] B={4.72162,4.43822,4.29587};
Real[3] C={11.70585,11.42005,10.52779};
Real[3] psi={0.7812,0.2095,0.0093};
Real[3] beta=fill(0, 3);
Real Tr=T/647.096;
Real tau=1 - Tr;
algorithm
if ((T < 273.15) or (T >
Modelica.Media.Air.ReferenceMoistAir.Utilities.Water95_Utilities.Tsat(
p))) then
beta_H := 0;
else
for k in 1:3 loop
beta[k] :=
Modelica.Media.Air.ReferenceMoistAir.Utilities.Water95_Utilities.psat(
T)*exp(A[k]/Tr + B[k]*tau^(0.355)/Tr + C[k]*Tr^(-0.41)*exp(tau));
end for;
beta_H := 1/1.01325*(psi[1]/beta[1] + psi[2]/beta[2] + psi[3]/beta[3]);
end if;
end beta_H;
function f_pT "Enhancement factor as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
output Real f "Vapor-pressure enhancement factor";
protected
function f_res
extends Modelica.Math.Nonlinear.Interfaces.partialScalarFunction;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
protected
Real x=u;
Real p_ws=0;
Real kappa_T=0;
Real v_ws=0;
Real beta_H=0;
Real psi_ws=0;
Real baa=0;
Real baw=0;
Real bww=0;
Real caaa=0;
Real caaw=0;
Real caww=0;
Real cwww=0;
final constant Real R_bar=8.314472;
algorithm
//p_ws is the saturation pressure of water
p_ws := if (T >= 273.16) then
Modelica.Media.Air.ReferenceMoistAir.Utilities.Water95_Utilities.psat(
T) else
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.Basic.psub(
T);
//kappa_T is the isothermal compressibility
if (p < p_ws) then
kappa_T := 0;
else
kappa_T := if (T >= 273.16) then
Modelica.Media.Water.IF97_Utilities.kappa_pT(p, T) else
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.kappa_pT(
p, T);
end if;
//v_ws is the molar volume of saturated water
v_ws := if (T >= 273.16) then Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.molarMass
/Modelica.Media.Water.IF97_Utilities.rho_pT(p, T) else Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.Basic.Constants.MM
/Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.rho_pT(p, T);
//beta_H is Henry's law constant
beta_H := Modelica.Media.Air.ReferenceMoistAir.Utilities.beta_H(p, T);
//calculating the virial coefficients baa, baw, bww, caaa, caaw, caww, cwww
baa := Modelica.Media.Air.ReferenceMoistAir.Utilities.VirialCoefficients.Baa_dT(0, T);
baw := Modelica.Media.Air.ReferenceMoistAir.Utilities.VirialCoefficients.Baw_dT(0, T);
bww := Modelica.Media.Air.ReferenceMoistAir.Utilities.VirialCoefficients.Bww_dT(0, T);
caaa := Modelica.Media.Air.ReferenceMoistAir.Utilities.VirialCoefficients.Caaa_dT(0, T);
caaw := Modelica.Media.Air.ReferenceMoistAir.Utilities.VirialCoefficients.Caaw_dT(0, T);
caww := Modelica.Media.Air.ReferenceMoistAir.Utilities.VirialCoefficients.Caww_dT(0, T);
cwww := Modelica.Media.Air.ReferenceMoistAir.Utilities.VirialCoefficients.Cwww_dT(0, T);
y := ((1 + kappa_T*p_ws)*(p - p_ws) - kappa_T*(p^2 - p_ws^2)/2)/(R_bar*
T)*v_ws + log(1 - beta_H*(1 - x*p_ws/p)*p) + (1 - x*p_ws/p)^2*p/(
R_bar*T)*baa - 2*(1 - x*p_ws/p)^2*p/(R_bar*T)*baw - (p - p_ws - (1 -
x*p_ws/p)^2*p)/(R_bar*T)*bww + (1 - x*p_ws/p)^3*p^2/(R_bar*T)^2*caaa
+ 3*(1 - x*p_ws/p)^2*(1 - 2*(1 - x*p_ws/p))*p^2/(2*(R_bar*T)^2)*caaw
- 3*(1 - x*p_ws/p)^2*x*p_ws/p*p^2/(R_bar*T)^2*caww - ((3 - 2*x*p_ws/
p)*(x*p_ws/p)^2*p^2 - p_ws^2)/(2*(R_bar*T)^2)*cwww - (1 - x*p_ws/p)^2
*(-2 + 3*x*p_ws/p)*x*p_ws/p*p^2/(R_bar*T)^2*baa*bww - 2*(1 - x*p_ws/p)
^3*(-1 + 3*x*p_ws/p)*p^2/(R_bar*T)^2*baa*baw + 6*(1 - x*p_ws/p)^2*(x*
p_ws/p)^2*p^2/(R_bar*T)^2*bww*baw - 3*(1 - x*p_ws/p)^4*p^2/(2*(R_bar*
T)^2)*baa^2 - 2*(1 - x*p_ws/p)^2*x*p_ws/p*(-2 + 3*x*p_ws/p)*p^2/(
R_bar*T)^2*baw^2 - (p_ws^2 - (4 - 3*x*p_ws/p)*(x*p_ws/p)^3*p^2)/(2*(
R_bar*T)^2)*bww^2 - log(x);
end f_res;
Real xmax;
algorithm
if ((useEnhancementFactor == false) or (T >=
Modelica.Media.Air.ReferenceMoistAir.Utilities.Water95_Utilities.Tsat(
p))) then
f := 1;
else
xmax := if (T < 273.16) then 120.0 else 8.0;
f := Modelica.Math.Nonlinear.solveOneNonlinearEquation(
function f_res(p=p, T=T),
0.99999,
xmax,
1e-9);
end if;
end f_pT;
function rho_pTX
"Return density as a function of pressure p, temperature T and composition X"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MassFraction X[:]=Modelica.Media.Air.ReferenceMoistAir.reference_X
"Mass fractions";
output SI.Density d "Density";
protected
Real pd;
Real pl;
Real xw;
Real xws;
algorithm
if (X[1] == 0) then
d := Modelica.Media.Air.ReferenceAir.Air_Utilities.rho_pT(p, T);
else
xw := X[1]/(1 - X[1]);
xws := xws_pT(p, T);
pd := pd_pTX(
p,
T,
X);
pl := p - pd;
if ((xw <= xws) or (xws == -1)) then
if (T < 273.16) then
d := Modelica.Media.Air.ReferenceAir.Air_Utilities.rho_pT(pl, T) +
pd/(.Modelica.Media.Air.ReferenceMoistAir.steam.R_s*T);
else
d := Modelica.Media.Air.ReferenceAir.Air_Utilities.rho_pT(pl, T) +
IF97_new.rho_pT(pd, T);
end if;
else
if (T < 273.16) then
d := (1 + xw)/((1 + xws)/(
Modelica.Media.Air.ReferenceAir.Air_Utilities.rho_pT(pl, T) + pd/
(.Modelica.Media.Air.ReferenceMoistAir.steam.R_s*T)) + (xw - xws)/
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.rho_pT(
p, T));
else
d := (1 + xw)/((1 + xws)/(
Modelica.Media.Air.ReferenceAir.Air_Utilities.rho_pT(pl, T) +
IF97_new.rho_pT(pd, T)) + (xw - xws)/
Modelica.Media.Water.IF97_Utilities.rho_pT(p, T));
end if;
end if;
end if;
end rho_pTX;
function pds_pT "Saturation partial pressure of steam"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
output SI.AbsolutePressure pds "Pressure";
protected
Real Tlim;
algorithm
if (T >= 273.16) then
pds :=
Modelica.Media.Air.ReferenceMoistAir.Utilities.Water95_Utilities.psat(
T);
Tlim :=
Modelica.Media.Air.ReferenceMoistAir.Utilities.Water95_Utilities.Tsat(
p);
else
pds :=
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.Basic.psub(
T);
Tlim :=
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.Basic.Tsub(
p);
end if;
if (T <= Tlim) then
pds := Modelica.Media.Air.ReferenceMoistAir.Utilities.f_pT(p, T)*pds;
else
// pds := -1;
pds := p;
end if;
end pds_pT;
function pd_pTX "Partial pressure of steam"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MassFraction X[:]=Modelica.Media.Air.ReferenceMoistAir.reference_X
"Mass fractions";
output SI.AbsolutePressure pd "Partial pressure";
protected
Real xw;
Real xws;
Real pds;
algorithm
if (X[1] == 0) then
pd := 0;
else
xw := X[1]/(1 - X[1]);
pds := Modelica.Media.Air.ReferenceMoistAir.Utilities.pds_pT(p, T);
pd := xw/(Modelica.Media.Air.ReferenceMoistAir.k_mair + xw)*p;
xws := Modelica.Media.Air.ReferenceMoistAir.Utilities.xws_pT(p, T);
pd := if ((xw <= xws) or (xws == -1)) then pd else pds;
end if;
end pd_pTX;
function xws_pT "Humidity ratio (absolute) of saturated humid air"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
output Real xws "Absolute humidity ratio";
protected
Real pds;
Real Tlim;
algorithm
pds := Modelica.Media.Air.ReferenceMoistAir.Utilities.pds_pT(p, T);
Tlim := if (T <= 273.16) then
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.Basic.Tsub(
p) else
Modelica.Media.Air.ReferenceMoistAir.Utilities.Water95_Utilities.Tsat(p);
// xws := if (T <= Tlim) then Modelica.Media.Air.ReferenceMoistAir.k_mair*
// pds/(p - pds) else -1;
xws := if (pds < p) then pds*Modelica.Media.Air.ReferenceMoistAir.k_mair/(p - pds) else Modelica.Constants.inf;
end xws_pT;
function phi_pTX "Relative humidity"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MassFraction X[:]=Modelica.Media.Air.ReferenceMoistAir.reference_X
"Mass fractions";
output Real phi "Relative humidity";
protected
Real xw;
Real pd;
Real pds;
algorithm
if (X[1] == 0) then
phi := 0;
else
xw := X[1]/(1 - X[1]);
if (T >= 273.16) then
pds := Modelica.Media.Water.IF97_Utilities.BaseIF97.Basic.psat(T);
else
pds :=
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.Basic.psub(
T);
end if;
pds := Modelica.Media.Air.ReferenceMoistAir.Utilities.f_pT(p, T)*pds;
pd := xw/(Modelica.Media.Air.ReferenceMoistAir.k_mair + xw)*p;
// if (pd <= pds) then
// phi := pd/pds;
// else
// phi := -1;
// end if;
phi := pd/max(100*Modelica.Constants.eps, pds);
end if;
end phi_pTX;
function cp_pTX "Specific isobaric heat capacity"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MassFraction X[:]=Modelica.Media.Air.ReferenceMoistAir.reference_X
"Mass fractions";
output SI.SpecificHeatCapacity cp "Specific heat capacity";
protected
Real xw;
Real xws;
Real pd;
Real pl;
algorithm
if (X[1] == 0.0) then
if (T >= 773.15) then
cp := Modelica.Media.Air.ReferenceAir.Air_Utilities.cp_pT(p, T) +
Utilities.cp_dis_pTX(
p,
T,
X);
else
cp := Modelica.Media.Air.ReferenceAir.Air_Utilities.cp_pT(p, T);
end if;
else
pd := Modelica.Media.Air.ReferenceMoistAir.Utilities.pd_pTX(
p,
T,
X);
pl := p - pd;
xw := X[1]/(1 - X[1]);
xws := Modelica.Media.Air.ReferenceMoistAir.Utilities.xws_pT(p, T);
if ((xw <= xws) or (xws == -1)) then
if (T >= 773.15) then
cp := X[1]*
Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.cp_pT(pd,
T) + X[2]*Modelica.Media.Air.ReferenceAir.Air_Utilities.cp_pT(pl,
T) + Modelica.Media.Air.ReferenceMoistAir.Utilities.cp_dis_pTX(
p,
T,
X);
else
cp := X[1]*
Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.cp_pT(pd,
T) + X[2]*Modelica.Media.Air.ReferenceAir.Air_Utilities.cp_pT(pl,
T);
end if;
else
cp := -1;
end if;
end if;
end cp_pTX;
function cv_pTX "Specific isochoric heat capacity"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MassFraction X[:]=Modelica.Media.Air.ReferenceMoistAir.reference_X
"Mass fractions";
output SI.SpecificHeatCapacity cv "Specific heat capacity";
protected
Real xw;
Real xws;
Real pd;
Real pl;
algorithm
if (X[1] == 0) then
cv := Modelica.Media.Air.ReferenceAir.Air_Utilities.cv_pT(p, T);
else
pd := Modelica.Media.Air.ReferenceMoistAir.Utilities.pd_pTX(
p,
T,
X);
pl := p - pd;
xw := X[1]/(1 - X[1]);
xws := Modelica.Media.Air.ReferenceMoistAir.Utilities.xws_pT(p, T);
if ((xw <= xws) or (xws == -1)) then
cv := X[1]*
Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.cv_pT(pd, T)
+ X[2]*Modelica.Media.Air.ReferenceAir.Air_Utilities.cv_pT(pl, T);
else
cv := -1;
end if;
end if;
end cv_pTX;
function h_pTX "Specific enthalpy of moist air"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MassFraction X[:]=Modelica.Media.Air.ReferenceMoistAir.reference_X
"Mass fractions";
output SI.SpecificEnthalpy h "Specific enthalpy";
protected
Real xw;
Real xws;
Real pd;
Real pl;
algorithm
if (X[1] == 0) then
h := Modelica.Media.Air.ReferenceAir.Air_Utilities.h_pT(p, T);
else
pd := Modelica.Media.Air.ReferenceMoistAir.Utilities.pd_pTX(
p,
T,
X);
pl := p - pd;
xw := X[1]/(1 - X[1]);
xws := Modelica.Media.Air.ReferenceMoistAir.Utilities.xws_pT(p, T);
if ((xw <= xws) or (xws == -1)) then
if (T >= 773.15) then
h := Modelica.Media.Air.ReferenceAir.Air_Utilities.h_pT(pl, T) + xw
*Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.h_pT(pd,
T) + (1 + xw)*
Modelica.Media.Air.ReferenceMoistAir.Utilities.h_dis_pTX(
p,
T,
X);
else
h := Modelica.Media.Air.ReferenceAir.Air_Utilities.h_pT(pl, T) + xw
*Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.h_pT(pd,
T);
end if;
else
if (T < 273.16) then
h := Modelica.Media.Air.ReferenceAir.Air_Utilities.h_pT(pl, T) +
xws*Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.h_pT(
pd, T) + (xw - xws)*
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.h_pT(
p, T);
else
h := Modelica.Media.Air.ReferenceAir.Air_Utilities.h_pT(pl, T) +
xws*Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.h_pT(
pd, T) + (xw - xws)*Modelica.Media.Water.IF97_Utilities.h_pT(p, T);
end if;
end if;
h := h/(1 + xw);
end if;
end h_pTX;
function h_dis_pTX
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MassFraction X[:]=Modelica.Media.Air.ReferenceMoistAir.reference_X
"Mass fractions";
output Real u "Reaction index";
protected
Real uges;
Real invMMX[4] "Inverses of molar weights";
SI.MolarMass Mmix "Molar mass of mixture";
MassFraction[4] massFraction "Mass fractions of components";
SI.MoleFraction[4] Y
"Mole fractions of individual components (H2O, N2, O2, Ar) of moist air";
algorithm
if (useDissociation == false) then
u := 0;
else
massFraction := {X[1],X[2]*Xi_Air[1],X[2]*Xi_Air[2],X[2]*Xi_Air[3]};
for i in 1:4 loop
invMMX[i] := 1/MMX[i];
end for;
Mmix := 1/(massFraction*invMMX);
for i in 1:4 loop
Y[i] := Mmix*massFraction[i]/MMX[i];
end for;
uges := 1 +
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U2(
p,
T,
Y) +
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U3(
p,
T,
Y) +
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U4(
p,
T,
Y) +
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U5(
p,
T,
Y) +
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U6(
p,
T,
Y);
u := -T^2*(
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U2(
p,
T,
Y)*
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.V2(T)/
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.BB[2]
+ Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U3(
p,
T,
Y)*
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.V3(T)/
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.BB[3]
+ Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U4(
p,
T,
Y)*
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.V4(T)/
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.BB[4]
+ Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U5(
p,
T,
Y)*
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.V5(T)/
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.BB[5]
+ Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U6(
p,
T,
Y)*
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.V6(T)/
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.BB[6])
/uges*sum(massFraction[j]/MMX[j] for j in 1:4);
end if;
end h_dis_pTX;
function s_pTX "Specific entropy of moist air"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MassFraction X[:]=Modelica.Media.Air.ReferenceMoistAir.reference_X
"Mass fractions";
output SI.SpecificEntropy s "Specific entropy";
protected
Real xw;
Real xws;
Real pd;
Real pl;
algorithm
if (X[1] == 0) then
s := Modelica.Media.Air.ReferenceAir.Air_Utilities.s_pT(p, T);
else
pd := Modelica.Media.Air.ReferenceMoistAir.Utilities.pd_pTX(
p,
T,
X);
pl := p - pd;
xw := X[1]/(1 - X[1]);
xws := Modelica.Media.Air.ReferenceMoistAir.Utilities.xws_pT(p, T);
if ((xw <= xws) or (xws == -1)) then
if (T >= 773.15) then
s := Modelica.Media.Air.ReferenceAir.Air_Utilities.s_pT(pl, T) + xw
*Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.s_pT(pd,
T) + (1 + xw)*
Modelica.Media.Air.ReferenceMoistAir.Utilities.s_dis_pTX(
p,
T,
X);
else
s := Modelica.Media.Air.ReferenceAir.Air_Utilities.s_pT(pl, T) + xw
*Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.s_pT(pd,
T);
end if;
else
if (T < 273.16) then
s := Modelica.Media.Air.ReferenceAir.Air_Utilities.s_pT(pl, T) +
xws*Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.s_pT(
pd, T) + (xw - xws)*
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.s_pT(
p, T);
else
s := Modelica.Media.Air.ReferenceAir.Air_Utilities.s_pT(pl, T) +
xws*Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.s_pT(
pd, T) + (xw - xws)*Modelica.Media.Water.IF97_Utilities.s_pT(p, T);
end if;
end if;
s := s/(1 + xw);
end if;
end s_pTX;
function u_pTX "Internal energy"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MassFraction X[:]=Modelica.Media.Air.ReferenceMoistAir.reference_X
"Mass fractions";
output SI.SpecificEnergy u "Specific entropy";
algorithm
u := Modelica.Media.Air.ReferenceMoistAir.Utilities.h_pTX(
p,
T,
X) - p/Modelica.Media.Air.ReferenceMoistAir.Utilities.rho_pTX(
p,
T,
X);
end u_pTX;
function cp_dis_pTX
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MassFraction X[:]=Modelica.Media.Air.ReferenceMoistAir.reference_X
"Mass fractions";
output Real u "Reaction index";
protected
Real uges;
Real invMMX[4] "Inverses of molar weights";
SI.MolarMass Mmix "Molar mass of mixture";
MassFraction[4] massFraction "Mass fractions of components";
SI.MoleFraction[4] Y
"Mole fractions of individual components (H2O, N2, O2, Ar) of moist air";
algorithm
if (useDissociation == false) then
u := 0;
else
massFraction := {X[1],X[2]*Xi_Air[1],X[2]*Xi_Air[2],X[2]*Xi_Air[3]};
for i in 1:4 loop
invMMX[i] := 1/MMX[i];
end for;
Mmix := 1/(massFraction*invMMX);
for i in 1:4 loop
Y[i] := Mmix*massFraction[i]/MMX[i];
end for;
uges := 1 +
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U2(
p,
T,
Y) +
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U3(
p,
T,
Y) +
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U4(
p,
T,
Y) +
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U5(
p,
T,
Y) +
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U6(
p,
T,
Y);
u := (Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U2(
p,
T,
Y)*
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.V2(T)
+ Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U3(
p,
T,
Y)*
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.V3(T)
+ Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U4(
p,
T,
Y)*
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.V4(T)
+ Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U5(
p,
T,
Y)*
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.V5(T)
+ Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U6(
p,
T,
Y)*
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.V6(T))
/uges*sum(massFraction[j]/MMX[j] for j in 1:4);
end if;
end cp_dis_pTX;
function s_dis_pTX
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MassFraction X[:]=Modelica.Media.Air.ReferenceMoistAir.reference_X
"Mass fractions";
output Real u "Reaction index";
protected
Real uges;
Real invMMX[4] "Inverses of molar weights";
SI.MolarMass Mmix "Molar mass of mixture";
MassFraction[4] massFraction "Mass fractions of components";
SI.MoleFraction[4] Y
"Mole fractions of individual components (H2O, N2, O2, Ar) of moist air";
algorithm
if (useDissociation == false) then
u := 0;
else
massFraction := {X[1],X[2]*Xi_Air[1],X[2]*Xi_Air[2],X[2]*Xi_Air[3]};
for i in 1:4 loop
invMMX[i] := 1/MMX[i];
end for;
Mmix := 1/(massFraction*invMMX);
for i in 1:4 loop
Y[i] := Mmix*massFraction[i]/MMX[i];
end for;
uges := 1 +
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U2(
p,
T,
Y) +
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U3(
p,
T,
Y) +
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U4(
p,
T,
Y) +
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U5(
p,
T,
Y) +
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U6(
p,
T,
Y);
u := -T*(
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U2(
p,
T,
Y)*
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.V2(T)/
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.BB[2]
+ Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U3(
p,
T,
Y)*
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.V3(T)/
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.BB[3]
+ Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U4(
p,
T,
Y)*
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.V4(T)/
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.BB[4]
+ Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U5(
p,
T,
Y)*
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.V5(T)/
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.BB[5]
+ Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.U6(
p,
T,
Y)*
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.V6(T)/
Modelica.Media.Air.ReferenceMoistAir.Utilities.ReactionIndices.BB[6])
/uges*sum(massFraction[j]/MMX[j] for j in 1:4);
end if;
end s_dis_pTX;
function pd_pTX_der "Derivative of partial pressure of steam"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MassFraction X[:]=Modelica.Media.Air.ReferenceMoistAir.reference_X
"Mass fractions";
input Real p_der "Derivative of pressure";
input Real T_der "Derivative of temperature";
input Real X_der[:] "Derivative of mass fractions";
output Real pd_der "Derivative of partial pressure";
protected
Real xw, xw_der;
Real xws;
Real pds, pds_der;
algorithm
if (X[1] == 0) then
//pd := 0;
pd_der := 0;
else
xw := X[1]/(1 - X[1]) "d(xw)/dt = d(xw)/dX[1] * dX[1]/dt";
xw_der := (X_der[1]*(1 - X[1]) + X[1]*X_der[1])/(1 - X[1])^2;
pds_der := Modelica.Media.Air.ReferenceMoistAir.Utilities.pds_pT_der(
p,
T,
p_der,
T_der);
//pd := xw/(Modelica.Media.Air.ReferenceMoistAir.k_mair + xw)*p;
pd_der := xw_der*Modelica.Media.Air.ReferenceMoistAir.k_mair/
(Modelica.Media.Air.ReferenceMoistAir.k_mair + xw)^2*p
+ xw/(Modelica.Media.Air.ReferenceMoistAir.k_mair + xw)*p_der;
xws := Modelica.Media.Air.ReferenceMoistAir.Utilities.xws_pT(p, T);
pd_der := if (xw <= xws) then pd_der else pds_der;
end if;
end pd_pTX_der;
function xws_pT_der
"Derivative of humidity ration (absolute) of saturated humid air"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input Real p_der "Derivative of pressure";
input Real T_der "Derivative of temperature";
output Real xws_der "Derivative of absolute humidity ratio";
protected
Real pds, pds_der;
Real Tlim;
algorithm
pds := Modelica.Media.Air.ReferenceMoistAir.Utilities.pds_pT(p, T);
pds_der := Modelica.Media.Air.ReferenceMoistAir.Utilities.pds_pT_der(
p,
T,
p_der,
T_der);
Tlim := if (T <= 273.16) then
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.Basic.Tsub(
p) else
Modelica.Media.Air.ReferenceMoistAir.Utilities.Water95_Utilities.Tsat(p);
if (pds < p) then
xws_der := Modelica.Media.Air.ReferenceMoistAir.k_mair*((pds_der*(p -
pds) + pds*pds_der)/(p - pds)^2);
else
xws_der := 0;
end if;
end xws_pT_der;
function pds_pT_der "Derivative of saturation partial pressure of steam"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input Real p_der "Derivative of pressure";
input Real T_der "Derivative of temperature";
output Real pds_der "Derivative of pressure";
protected
Real Tlim;
algorithm
if (T >= 273.16) then
pds_der :=
Modelica.Media.Air.ReferenceMoistAir.Utilities.Water95_Utilities.psat_der(
T, T_der);
Tlim :=
Modelica.Media.Air.ReferenceMoistAir.Utilities.Water95_Utilities.Tsat(
p);
else
pds_der :=
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.Basic.psub_der(
T, T_der);
Tlim :=
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.Basic.Tsub(
p);
end if;
if (T <= Tlim) then
pds_der := pds_der;
else
pds_der := p_der;
end if;
end pds_pT_der;
function rho_pTX_der
"Derivative of density as a function of pressure p, temperature T and composition X"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MassFraction X[:]=Modelica.Media.Air.ReferenceMoistAir.reference_X
"Mass fractions";
input Real p_der "Derivative of pressure";
input Real T_der "Derivative of temperature";
input Real X_der[:] "Derivative of mass fractions";
output Real d_der "Derivative of density";
protected
Real pd, pd_der;
Real pl, pl_der;
Real xw, xw_der;
Real xws, xws_der;
Real o[5];
algorithm
if (X[1] == 0) then
d_der := Modelica.Media.Air.ReferenceAir.Air_Utilities.rho_pT_der(
p,
T,
Modelica.Media.Air.ReferenceAir.Air_Utilities.airBaseProp_pT(p, T),
p_der,
T_der);
else
xw := X[1]/(1 - X[1]);
xw_der := (X_der[1])/(1 - X[1])^2;
xws := xws_pT(p, T);
xws_der := xws_pT_der(
p,
T,
p_der,
T_der);
pd := pd_pTX(
p,
T,
X);
pd_der := Modelica.Media.Air.ReferenceMoistAir.Utilities.pd_pTX_der(
p,
T,
X,
p_der,
T_der,
X_der);
pl := p - pd;
pl_der := p_der - pd_der;
if ((xw <= xws) or (xws == -1)) then
if (T < 273.16) then
d_der := Modelica.Media.Air.ReferenceAir.Air_Utilities.rho_pT_der(
pl,
T,
Modelica.Media.Air.ReferenceAir.Air_Utilities.airBaseProp_pT(
pl, T),
pl_der,
T_der) + Modelica.Media.Air.ReferenceMoistAir.steam.R_s*(pd_der
*T - pd*T_der)/(Modelica.Media.Air.ReferenceMoistAir.steam.R_s*T)^2;
else
d_der := Modelica.Media.Air.ReferenceAir.Air_Utilities.rho_pT_der(
pl,
T,
Modelica.Media.Air.ReferenceAir.Air_Utilities.airBaseProp_pT(
pl, T),
pl_der,
T_der) + IF97_new.rho_pT_der(
pd,
T,
pd_der,
T_der);
end if;
else
if (T < 273.16) then
o[1] := Modelica.Media.Air.ReferenceAir.Air_Utilities.rho_pT(pl, T);
o[2] :=
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.rho_pT(
p, T);
o[3] := ((1 + xws)/(
Modelica.Media.Air.ReferenceAir.Air_Utilities.rho_pT(pl, T) + pd/
(.Modelica.Media.Air.ReferenceMoistAir.steam.R_s*T)) + (xw - xws)/
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.rho_pT(
p, T));
o[4] := Modelica.Media.Air.ReferenceAir.Air_Utilities.rho_pT_der(
pl,
T,
Modelica.Media.Air.ReferenceAir.Air_Utilities.airBaseProp_pT(
p, T),
p_der,
T_der);
o[5] := (xws_der*o[1] - (1 + xws)*o[4])/o[1]^2 + (pd_der*T - pd*
T_der)/Modelica.Media.Air.ReferenceMoistAir.steam.R_s/T^2 + (xw_der
*o[2] - xw*
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.rho_pT_der(
p,
T,
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.ice09BaseProp_pT(
p, T),
p_der,
T_der))/o[2]^2 - (xws_der*o[2] - xws*
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.rho_pT_der(
p,
T,
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.ice09BaseProp_pT(
p, T),
p_der,
T_der))/o[2]^2;
d_der := (xw_der*o[3] - (1 + xw)*o[5])/o[3]^2;
else
o[1] := Modelica.Media.Air.ReferenceAir.Air_Utilities.rho_pT(pl, T)
+ IF97_new.rho_pT(pd, T);
o[2] := Modelica.Media.Water.IF97_Utilities.rho_pT(p, T);
o[3] := ((1 + xws)/(
Modelica.Media.Air.ReferenceAir.Air_Utilities.rho_pT(pl, T) +
IF97_new.rho_pT(pd, T)) + (xw - xws)/
Modelica.Media.Water.IF97_Utilities.rho_pT(p, T));
o[4] := Modelica.Media.Air.ReferenceAir.Air_Utilities.rho_pT_der(
pl,
T,
Modelica.Media.Air.ReferenceAir.Air_Utilities.airBaseProp_pT(
p, T),
p_der,
T_der) + IF97_new.rho_pT_der(
pd,
T,
pd_der,
T_der);
o[5] := (xws_der*o[1] - (1 + xws)*o[4])/o[1]^2 + (xw_der*o[2] - xw*
Modelica.Media.Water.IF97_Utilities.rho_pT_der(
p,
T,
Modelica.Media.Water.IF97_Utilities.waterBaseProp_pT(p, T),
p_der,
T_der))/o[2]^2 - (xws_der*o[2] - xws*
Modelica.Media.Water.IF97_Utilities.rho_pT_der(
p,
T,
Modelica.Media.Water.IF97_Utilities.waterBaseProp_pT(p, T),
p_der,
T_der))/o[2]^2;
d_der := (xw_der*o[3] - (1 + xw)*o[5])/o[3]^2;
end if;
end if;
end if;
end rho_pTX_der;
function h_dis_pTX_der
extends Modelica.Icons.Function;
import Modelica.Media.Air.ReferenceMoistAir.Utilities;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MassFraction X[:]=Modelica.Media.Air.ReferenceMoistAir.reference_X
"Mass fractions";
input Real p_der "Derivative of pressure";
input Real T_der "Derivative of temperature";
input Real X_der[:] "Derivative of mass fractions";
output Real u_der "Derivative of reaction index";
protected
Real uges, uges_der, o[7], l;
Real invMMX[4] "Inverses of molar weights";
SI.MolarMass Mmix "Molar mass of mixture";
Real Mmix_der "Derivative of molar mass of mixture";
MassFraction[4] massFraction "Mass fractions of components";
Real[4] massFraction_der "Derivative of mass fractions of components";
SI.MoleFraction[4] Y
"Mole fractions of individual components (H2O, N2, O2, Ar) of moist air";
Real[4] Y_der
"Derivative of mole fractions of individual components (H2O, N2, O2, Ar) of moist air";
algorithm
if (useDissociation == false) then
//u := 0;
u_der := 0;
else
massFraction := {X[1],X[2]*Xi_Air[1],X[2]*Xi_Air[2],X[2]*Xi_Air[3]};
massFraction_der := {X_der[1],X_der[2]*Xi_Air[1],X_der[2]*Xi_Air[2],
X_der[2]*Xi_Air[3]};
for i in 1:4 loop
invMMX[i] := 1/MMX[i];
end for;
Mmix := 1/(massFraction*invMMX);
Mmix_der := -1/(massFraction*invMMX)^2*massFraction_der*invMMX;
for i in 1:4 loop
Y[i] := Mmix*massFraction[i]/MMX[i];
Y_der[i] := (Mmix_der*massFraction[i] + Mmix*massFraction_der[i])/MMX[
i];
end for;
uges := 1 + Utilities.ReactionIndices.U2(
p,
T,
Y) + Utilities.ReactionIndices.U3(
p,
T,
Y) + Utilities.ReactionIndices.U4(
p,
T,
Y) + Utilities.ReactionIndices.U5(
p,
T,
Y) + Utilities.ReactionIndices.U6(
p,
T,
Y);
uges_der := Utilities.ReactionIndices.U2_der(
p,
T,
Y,
p_der,
T_der,
Y_der) + Utilities.ReactionIndices.U3_der(
p,
T,
Y,
p_der,
T_der,
Y_der) + Utilities.ReactionIndices.U4_der(
p,
T,
Y,
p_der,
T_der,
Y_der) + Utilities.ReactionIndices.U5_der(
p,
T,
Y,
p_der,
T_der,
Y_der) + Utilities.ReactionIndices.U6_der(
p,
T,
Y,
p_der,
T_der,
Y_der);
o[1] := (Utilities.ReactionIndices.U2_der(
p,
T,
Y,
p_der,
T_der,
Y_der)*Utilities.ReactionIndices.V2(T) +
Utilities.ReactionIndices.U2(
p,
T,
Y)*Utilities.ReactionIndices.V2_der(T, T_der))/Utilities.ReactionIndices.BB[
2];
o[2] := (Utilities.ReactionIndices.U3_der(
p,
T,
Y,
p_der,
T_der,
Y_der)*Utilities.ReactionIndices.V3(T) +
Utilities.ReactionIndices.U3(
p,
T,
Y)*Utilities.ReactionIndices.V3_der(T, T_der))/Utilities.ReactionIndices.BB[
3];
o[3] := (Utilities.ReactionIndices.U4_der(
p,
T,
Y,
p_der,
T_der,
Y_der)*Utilities.ReactionIndices.V4(T) +
Utilities.ReactionIndices.U4(
p,
T,
Y)*Utilities.ReactionIndices.V4_der(T, T_der))/Utilities.ReactionIndices.BB[
4];
o[4] := (Utilities.ReactionIndices.U5_der(
p,
T,
Y,
p_der,
T_der,
Y_der)*Utilities.ReactionIndices.V5(T) +
Utilities.ReactionIndices.U5(
p,
T,
Y)*Utilities.ReactionIndices.V5_der(T, T_der))/Utilities.ReactionIndices.BB[
5];
o[5] := (Utilities.ReactionIndices.U6_der(
p,
T,
Y,
p_der,
T_der,
Y_der)*Utilities.ReactionIndices.V6(T) +
Utilities.ReactionIndices.U6(
p,
T,
Y)*Utilities.ReactionIndices.V6_der(T, T_der))/Utilities.ReactionIndices.BB[
6];
l := (Utilities.ReactionIndices.U2(
p,
T,
Y)*Utilities.ReactionIndices.V2(T)/Utilities.ReactionIndices.BB[2]
+ Utilities.ReactionIndices.U3(
p,
T,
Y)*Utilities.ReactionIndices.V3(T)/Utilities.ReactionIndices.BB[3]
+ Utilities.ReactionIndices.U4(
p,
T,
Y)*Utilities.ReactionIndices.V4(T)/Utilities.ReactionIndices.BB[4]
+ Utilities.ReactionIndices.U5(
p,
T,
Y)*Utilities.ReactionIndices.V5(T)/Utilities.ReactionIndices.BB[5]
+ Utilities.ReactionIndices.U6(
p,
T,
Y)*Utilities.ReactionIndices.V6(T)/Utilities.ReactionIndices.BB[6]);
o[6] := -2*T*(Utilities.ReactionIndices.U2(
p,
T,
Y)*Utilities.ReactionIndices.V2(T)/Utilities.ReactionIndices.BB[2]
+ Utilities.ReactionIndices.U3(
p,
T,
Y)*Utilities.ReactionIndices.V3(T)/Utilities.ReactionIndices.BB[3]
+ Utilities.ReactionIndices.U4(
p,
T,
Y)*Utilities.ReactionIndices.V4(T)/Utilities.ReactionIndices.BB[4]
+ Utilities.ReactionIndices.U5(
p,
T,
Y)*Utilities.ReactionIndices.V5(T)/Utilities.ReactionIndices.BB[5]
+ Utilities.ReactionIndices.U6(
p,
T,
Y)*Utilities.ReactionIndices.V6(T)/Utilities.ReactionIndices.BB[6])
- T^2*sum(o[1:5]);
o[7] := uges_der*sum(massFraction[j]/MMX[j] for j in 1:4) + uges*sum(
massFraction_der[j]/MMX[j] for j in 1:4);
u_der := (o[6]*(uges*sum(massFraction[j]/MMX[j] for j in 1:4)) - l*o[7])
/(uges*sum(massFraction[j]/MMX[j] for j in 1:4))^2;
end if;
end h_dis_pTX_der;
function h_pTX_der "Derivative of specific enthalpy of moist air"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MassFraction X[:]=Modelica.Media.Air.ReferenceMoistAir.reference_X
"Mass fractions";
input Real p_der "Derivative of pressure";
input Real T_der "Derivative of temperature";
input Real X_der[:] "Derivative of mass fractions";
output Real h_der "Derivative of specific enthalpy";
protected
SI.SpecificEnthalpy h;
Real xw, xw_der;
Real xws, xws_der;
Real pd, pd_der;
Real pl, pl_der;
algorithm
if (X[1] == 0) then
h_der := Modelica.Media.Air.ReferenceAir.Air_Utilities.h_pT_der(
p,
T,
Modelica.Media.Air.ReferenceAir.Air_Utilities.airBaseProp_pT(p, T),
p_der,
T_der);
else
pd := Modelica.Media.Air.ReferenceMoistAir.Utilities.pd_pTX(
p,
T,
X);
pd_der := Modelica.Media.Air.ReferenceMoistAir.Utilities.pd_pTX_der(
p,
T,
X,
p_der,
T_der,
X_der);
pl := p - pd;
pl_der := p_der - pd_der;
xw := X[1]/(1 - X[1]);
xw_der := (X_der[1])/(1 - X[1])^2;
xws := Modelica.Media.Air.ReferenceMoistAir.Utilities.xws_pT(p, T);
xws_der := xws_pT_der(
p,
T,
p_der,
T_der);
if ((xw <= xws) or (xws == -1)) then
if (T >= 773.15) then
h_der := Modelica.Media.Air.ReferenceAir.Air_Utilities.h_pT_der(
pl,
T,
Modelica.Media.Air.ReferenceAir.Air_Utilities.airBaseProp_pT(
pl, T),
pl_der,
T_der) + xw_der*
Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.h_pT(pd,
T) + xw*
Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.h_pT_der(
pd,
T,
0,
pd_der,
T_der) + xw_der*
Modelica.Media.Air.ReferenceMoistAir.Utilities.h_dis_pTX(
p,
T,
X) + xw*
Modelica.Media.Air.ReferenceMoistAir.Utilities.h_dis_pTX_der(
p,
T,
X,
p_der,
T_der,
X_der);
else
h_der := Modelica.Media.Air.ReferenceAir.Air_Utilities.h_pT_der(
pl,
T,
Modelica.Media.Air.ReferenceAir.Air_Utilities.airBaseProp_pT(
pl, T),
pl_der,
T_der) + xw_der*
Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.h_pT(pd,
T) + xw*
Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.h_pT_der(
pd,
T,
0,
pd_der,
T_der);
end if;
else
if (T < 273.16) then
h_der := Modelica.Media.Air.ReferenceAir.Air_Utilities.h_pT_der(
pl,
T,
Modelica.Media.Air.ReferenceAir.Air_Utilities.airBaseProp_pT(
pl, T),
pl_der,
T_der) + xws_der*
Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.h_pT(pd,
T) + xws*
Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.h_pT_der(
pd,
T,
0,
pd_der,
T_der) + xw_der*
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.h_pT(
p, T) + xw*
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.h_pT_der(
p,
T,
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.ice09BaseProp_pT(
p, T),
p_der,
T_der) - xws_der*
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.h_pT(
p, T) - xws*
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.h_pT_der(
p,
T,
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.ice09BaseProp_pT(
p, T),
p_der,
T_der);
else
h_der := Modelica.Media.Air.ReferenceAir.Air_Utilities.h_pT_der(
pl,
T,
Modelica.Media.Air.ReferenceAir.Air_Utilities.airBaseProp_pT(
p, T),
pl_der,
T_der) + xws_der*
Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.h_pT(pd,
T) + xws*
Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.h_pT_der(
pd,
T,
0,
pd_der,
T_der) + xw_der*Modelica.Media.Water.IF97_Utilities.h_pT(p, T)
+ xw*Modelica.Media.Water.IF97_Utilities.h_pT_der(
p,
T,
Modelica.Media.Water.IF97_Utilities.waterBaseProp_pT(p, T),
p_der,
T_der) - xws_der*Modelica.Media.Water.IF97_Utilities.h_pT(p,
T) - xws*Modelica.Media.Water.IF97_Utilities.h_pT_der(
p,
T,
Modelica.Media.Water.IF97_Utilities.waterBaseProp_pT(p, T),
p_der,
T_der);
end if;
end if;
if ((xw <= xws) or (xws == -1)) then
if (T >= 773.15) then
h := Modelica.Media.Air.ReferenceAir.Air_Utilities.h_pT(pl, T) + xw
*Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.h_pT(pd,
T) + (1 + xw)*
Modelica.Media.Air.ReferenceMoistAir.Utilities.h_dis_pTX(
p,
T,
X);
else
h := Modelica.Media.Air.ReferenceAir.Air_Utilities.h_pT(pl, T) + xw
*Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.h_pT(pd,
T);
end if;
else
if (T < 273.16) then
h := Modelica.Media.Air.ReferenceAir.Air_Utilities.h_pT(pl, T) +
xws*Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.h_pT(
pd, T) + (xw - xws)*
Modelica.Media.Air.ReferenceMoistAir.Utilities.Ice09_Utilities.h_pT(
p, T);
else
h := Modelica.Media.Air.ReferenceAir.Air_Utilities.h_pT(pl, T) +
xws*Modelica.Media.Air.ReferenceMoistAir.Utilities.IF97_new.h_pT(
pd, T) + (xw - xws)*Modelica.Media.Water.IF97_Utilities.h_pT(p, T);
end if;
end if;
h_der := (h_der*(1 + xw) - h*xw_der)/(1 + xw)^2;
end if;
end h_pTX_der;
function u_pTX_der "Derivative of internal energy"
extends Modelica.Icons.Function;
input SI.AbsolutePressure p "Pressure";
input SI.Temperature T "Temperature";
input SI.MassFraction X[:]=Modelica.Media.Air.ReferenceMoistAir.reference_X
"Mass fractions";
input Real p_der "Derivative of pressure";
input Real T_der "Derivative of temperature";
input Real X_der[:] "Derivative of mass fractions";
output Real u_der "Derivative of specific entropy";
algorithm
u_der := Modelica.Media.Air.ReferenceMoistAir.Utilities.h_pTX_der(
p,
T,
X,
p_der,
T_der,
X_der) - (p_der*
Modelica.Media.Air.ReferenceMoistAir.Utilities.rho_pTX(
p,
T,
X) - p*Modelica.Media.Air.ReferenceMoistAir.Utilities.rho_pTX_der(
p,
T,
X,
p_der,
T_der,
X_der))/Modelica.Media.Air.ReferenceMoistAir.Utilities.rho_pTX(
p,
T,
X)^2;
end u_pTX_der;
end Utilities;
end ReferenceMoistAir; |
Air: Simple dry air model (0..100 degC) | within Modelica.Media.Air;
package SimpleAir "Air: Simple dry air model (0..100 degC)"
extends Modelica.Icons.MaterialProperty;
extends Interfaces.PartialSimpleIdealGasMedium(
mediumName="SimpleAir",
cp_const=1005.45,
MM_const=0.0289651159,
R_gas=Constants.R/MM_const,
eta_const=1.82e-5,
lambda_const=0.026,
T_min=Cv.from_degC(0),
T_max=Cv.from_degC(100),
fluidConstants=airConstants,
Temperature(min=Modelica.Units.Conversions.from_degC(0), max=
Modelica.Units.Conversions.from_degC(100)));
import Modelica.Constants;
constant Modelica.Media.Interfaces.Types.Basic.FluidConstants[nS]
airConstants={Modelica.Media.Interfaces.Types.Basic.FluidConstants(
iupacName="simple air",
casRegistryNumber="not a real substance",
chemicalFormula="N2, O2",
structureFormula="N2, O2",
molarMass=Modelica.Media.IdealGases.Common.SingleGasesData.N2.MM)}
"Constant data for the fluid";
end SimpleAir; |
Medium models consisting of mixtures of ideal gases | within Modelica.Media.IdealGases;
package MixtureGases "Medium models consisting of mixtures of ideal gases"
extends Modelica.Icons.VariantsPackage;
package CombustionAir "Air as mixture of N2 and O2"
extends Common.MixtureGasNasa(
mediumName="CombustionAirN2O2",
data={Common.SingleGasesData.N2,
Common.SingleGasesData.O2},
fluidConstants={Common.FluidData.N2,
Common.FluidData.O2},
substanceNames = {"Nitrogen", "Oxygen"},
reference_X={0.768,0.232});
end CombustionAir;
package AirSteam "Air and steam mixture (no condensation!, pseudo-mixture)"
extends Common.MixtureGasNasa(
mediumName="MoistAir",
data={Common.SingleGasesData.H2O, Common.SingleGasesData.Air},
fluidConstants={Common.FluidData.H2O,
Common.FluidData.N2},
substanceNames = {"Water","Air"},
reference_X={0.0,1.0});
end AirSteam;
package SimpleMoistAir = AirSteam(reference_X={0.03,0.97})
"Moist air without condensation";
package FlueGasLambdaOnePlus
"Simple flue gas for overstochiometric O2-fuel ratios"
extends Common.MixtureGasNasa(
mediumName="FlueGasLambda1plus",
data={Common.SingleGasesData.N2,
Common.SingleGasesData.O2,
Common.SingleGasesData.H2O,
Common.SingleGasesData.CO2},
fluidConstants={Common.FluidData.N2,
Common.FluidData.O2,
Common.FluidData.H2O,
Common.FluidData.CO2},
substanceNames = {"Nitrogen","Oxygen","Water", "Carbondioxide"},
reference_X={0.768,0.232,0.0,0.0});
end FlueGasLambdaOnePlus;
package FlueGasSixComponents
"Simplest flue gas for over-and understochiometric combustion of hydrocarbons"
extends Common.MixtureGasNasa(
mediumName="FlueGasSixComponents",
data={Common.SingleGasesData.N2,
Common.SingleGasesData.H2,
Common.SingleGasesData.CO,
Common.SingleGasesData.O2,
Common.SingleGasesData.H2O,
Common.SingleGasesData.CO2},
fluidConstants={Common.FluidData.N2,
Common.FluidData.H2,
Common.FluidData.CO,
Common.FluidData.O2,
Common.FluidData.H2O,
Common.FluidData.CO2},
substanceNames = {"Nitrogen","Hydrogen,","Carbonmonoxide","Oxygen","Water","Carbondioxide"},
reference_X={0.768,0.0,0.0,0.232,0.0,0.0});
end FlueGasSixComponents;
package SimpleNaturalGas "Simple natural gas mix with 6 components"
extends Common.MixtureGasNasa(
mediumName="SimpleNaturalGas",
data={Common.SingleGasesData.CH4,
Common.SingleGasesData.C2H6,
Common.SingleGasesData.C3H8,
Common.SingleGasesData.C4H10_n_butane,
Common.SingleGasesData.N2,
Common.SingleGasesData.CO2},
fluidConstants={Common.FluidData.CH4,
Common.FluidData.C2H6,
Common.FluidData.C3H8,
Common.FluidData.C4H10_n_butane,
Common.FluidData.N2,
Common.FluidData.CO2},
substanceNames = {"Methane","Ethane","Propane","N-Butane,","Nitrogen","Carbondioxide"},
reference_X={0.92,0.048,0.005,0.002,0.015,0.01});
end SimpleNaturalGas;
package SimpleNaturalGasFixedComposition
"Same as SimpleNaturalGas but with fixed composition"
extends SimpleNaturalGas(fixedX=true);
end SimpleNaturalGasFixedComposition;
end MixtureGases; |
Data and models of ideal gases (single, fixed and dynamic mixtures) from NASA source | within Modelica.Media;
package IdealGases "Data and models of ideal gases (single, fixed and dynamic mixtures) from NASA source"
extends Modelica.Icons.VariantsPackage;
end IdealGases; |
Media models of ideal gases from NASA tables | within Modelica.Media.IdealGases;
package SingleGases "Media models of ideal gases from NASA tables"
extends Modelica.Icons.VariantsPackage;
package Ar "Ideal gas \"Ar\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="Argon",
data=Common.SingleGasesData.Ar,
fluidConstants={Common.FluidData.Ar});
end Ar;
package CH4 "Ideal gas \"CH4\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="Methane",
data=Common.SingleGasesData.CH4,
fluidConstants={Common.FluidData.CH4});
end CH4;
package CH3OH "Ideal gas \"CH3OH\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="Methanol",
data=Common.SingleGasesData.CH3OH,
fluidConstants={Common.FluidData.CH3OH});
end CH3OH;
package CO "Ideal gas \"CO\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="Carbon Monoxide",
data=Common.SingleGasesData.CO,
fluidConstants={Common.FluidData.CO});
end CO;
package CO2 "Ideal gas \"CO2\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="Carbon Dioxide",
data=Common.SingleGasesData.CO2,
fluidConstants={Common.FluidData.CO2});
end CO2;
package C2H2_vinylidene
"Ideal gas \"C2H2_vinylidene\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="Acetylene",
data=Common.SingleGasesData.C2H2_vinylidene,
fluidConstants={Common.FluidData.C2H2_vinylidene});
end C2H2_vinylidene;
package C2H4 "Ideal gas \"C2H4\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="Ethylene",
data=Common.SingleGasesData.C2H4,
fluidConstants={Common.FluidData.C2H4});
end C2H4;
package C2H5OH "Ideal gas \"C2H5OH\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="Ethanol",
data=Common.SingleGasesData.C2H5OH,
fluidConstants={Common.FluidData.C2H5OH});
end C2H5OH;
package C2H6 "Ideal gas \"C2H6\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="Ethane",
data=Common.SingleGasesData.C2H6,
fluidConstants={Common.FluidData.C2H6});
end C2H6;
package C3H6_propylene
"Ideal gas \"C3H6_propylene\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="Propylene",
data=Common.SingleGasesData.C3H6_propylene,
fluidConstants={Common.FluidData.C3H6_propylene});
end C3H6_propylene;
package C3H8 "Ideal gas \"C3H8\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="Propane",
data=Common.SingleGasesData.C3H8,
fluidConstants={Common.FluidData.C3H8});
end C3H8;
package C3H8O_1propanol
"Ideal gas \"C3H8O_1propanol\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="1-Propanol",
data=Common.SingleGasesData.C3H8O_1propanol,
fluidConstants={Common.FluidData.C3H7OH});
end C3H8O_1propanol;
package C4H8_1_butene
"Ideal gas \"C4H8_1_butene\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="1-Butene",
data=Common.SingleGasesData.C4H8_1_butene,
fluidConstants={Common.FluidData.C4H8_1_butene});
end C4H8_1_butene;
package C4H10_n_butane
"Ideal gas \"C4H10_n_butane\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="N-Butane",
data=Common.SingleGasesData.C4H10_n_butane,
fluidConstants={Common.FluidData.C4H10_n_butane});
end C4H10_n_butane;
package C5H10_1_pentene
"Ideal gas \"C5H10_1_pentene\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="1-Pentene",
data=Common.SingleGasesData.C5H10_1_pentene,
fluidConstants={Common.FluidData.C5H10_1_pentene});
end C5H10_1_pentene;
package C5H12_n_pentane
"Ideal gas \"C5H12_n_pentane\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName = "N-Pentane",
data=Common.SingleGasesData.C5H12_n_pentane,
fluidConstants={Common.FluidData.C5H12_n_pentane});
end C5H12_n_pentane;
package C6H6 "Ideal gas \"C6H6\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="Benzene",
data=Common.SingleGasesData.C6H6,
fluidConstants={Common.FluidData.C6H6});
end C6H6;
package C6H12_1_hexene
"Ideal gas \"C6H12_1_hexene\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="1-Hexene",
data=Common.SingleGasesData.C6H12_1_hexene,
fluidConstants={Common.FluidData.C6H12_1_hexene});
end C6H12_1_hexene;
package C6H14_n_hexane
"Ideal gas \"C6H14_n_hexane\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="N-Hexane",
data=Common.SingleGasesData.C6H14_n_hexane,
fluidConstants={Common.FluidData.C6H14_n_hexane});
end C6H14_n_hexane;
package C7H14_1_heptene
"Ideal gas \"C7H14_1_heptene\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="1-Heptene",
data=Common.SingleGasesData.C7H14_1_heptene,
fluidConstants={Common.FluidData.C7H14_1_heptene});
end C7H14_1_heptene;
package C7H16_n_heptane
"Ideal gas \"C7H16_n_heptane\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="N-Heptane",
data=Common.SingleGasesData.C7H16_n_heptane,
fluidConstants={Common.FluidData.C7H16_n_heptane});
end C7H16_n_heptane;
package C8H10_ethylbenz
"Ideal gas \"C8H10_ethylbenz\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="Ethylbenzene",
data=Common.SingleGasesData.C8H10_ethylbenz,
fluidConstants={Common.FluidData.C8H10_ethylbenz});
end C8H10_ethylbenz;
package C8H18_n_octane
"Ideal gas \"C8H18_n_octane\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="N-Octane",
data=Common.SingleGasesData.C8H18_n_octane,
fluidConstants={Common.FluidData.C8H18_n_octane});
end C8H18_n_octane;
package CL2 "Ideal gas \"Cl2\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="Chlorine",
data=Common.SingleGasesData.CL2,
fluidConstants={Common.FluidData.CL2});
end CL2;
package F2 "Ideal gas \"F2\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="Fluorine",
data=Common.SingleGasesData.F2,
fluidConstants={Common.FluidData.F2});
end F2;
package H2 "Ideal gas \"H2\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="Hydrogen",
data=Common.SingleGasesData.H2,
fluidConstants={Common.FluidData.H2});
end H2;
package H2O "Ideal gas \"H2O\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="IdealGasSteam",
data=Common.SingleGasesData.H2O,
fluidConstants={Common.FluidData.H2O});
end H2O;
package He "Ideal gas \"He\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="Helium",
data=Common.SingleGasesData.He,
fluidConstants={Common.FluidData.He});
end He;
package NH3 "Ideal gas \"NH3\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="IdealGasAmmonia",
data=Common.SingleGasesData.NH3,
fluidConstants={Common.FluidData.NH3});
end NH3;
package NO "Ideal gas \"NO\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="Nitric Oxide",
data=Common.SingleGasesData.NO,
fluidConstants={Common.FluidData.NO});
end NO;
package NO2 "Ideal gas \"NO2\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="Nitrogen Dioxide",
data=Common.SingleGasesData.NO2,
fluidConstants={Common.FluidData.NO2});
end NO2;
package N2 "Ideal gas \"N2\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="Nitrogen",
data=Common.SingleGasesData.N2,
fluidConstants={Common.FluidData.N2});
end N2;
package N2O "Ideal gas \"N2O\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="Nitrous Oxide",
data=Common.SingleGasesData.N2O,
fluidConstants={Common.FluidData.N2O});
end N2O;
package Ne "Ideal gas \"Ne\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="Neon",
data=Common.SingleGasesData.Ne,
fluidConstants={Common.FluidData.Ne});
end Ne;
package O2 "Ideal gas \"O2\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="Oxygen",
data=Common.SingleGasesData.O2,
fluidConstants={Common.FluidData.O2});
end O2;
package SO2 "Ideal gas \"SO2\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="Sulfur Dioxide",
data=Common.SingleGasesData.SO2,
fluidConstants={Common.FluidData.SO2});
end SO2;
package SO3 "Ideal gas \"SO3\" from NASA Glenn coefficients"
extends Common.SingleGasNasa(
mediumName="Sulfur Trioxide",
data=Common.SingleGasesData.SO3,
fluidConstants={Common.FluidData.SO3});
end SO3;
end SingleGases; |
Critical data, dipole moments and related data | within Modelica.Media.IdealGases.Common;
package FluidData "Critical data, dipole moments and related data"
extends Modelica.Icons.Package;
import Modelica.Media.IdealGases.Common.SingleGasesData;
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants N2(
chemicalFormula = "N2",
iupacName = "molecular nitrogen",
structureFormula = "unknown",
casRegistryNumber = "7727-37-9",
meltingPoint = 63.15,
normalBoilingPoint = 77.35,
criticalTemperature = 126.20,
criticalPressure = 33.98e5,
criticalMolarVolume = 90.10e-6,
acentricFactor = 0.037,
dipoleMoment = 0.0,
molarMass = SingleGasesData.N2.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Nitrogen";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants O2(
chemicalFormula = "O2",
iupacName = "molecular oxygen",
structureFormula = "unknown",
casRegistryNumber = "7782-44-7",
meltingPoint = 54.36,
normalBoilingPoint = 90.17,
criticalTemperature = 154.58,
criticalPressure = 50.43e5,
criticalMolarVolume = 73.37e-6,
acentricFactor = 0.022,
dipoleMoment = 0.0,
molarMass = SingleGasesData.O2.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Oxygen";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants CL2(
chemicalFormula = "CL2",
iupacName = "molecular chlorine",
structureFormula = "unknown",
casRegistryNumber = "7782-50-5",
meltingPoint = 172.19,
normalBoilingPoint = 239.12,
criticalTemperature = 417.00,
criticalPressure = 77.00e5,
criticalMolarVolume = 124.00e-6,
acentricFactor = 0.069,
dipoleMoment = 0.0,
molarMass = SingleGasesData.CL2.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Chlorine";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants F2(
chemicalFormula = "F2",
iupacName = "molecular fluorine",
structureFormula = "unknown",
casRegistryNumber = "7782-41-4",
meltingPoint = 53.48,
normalBoilingPoint = 84.95,
criticalTemperature = 144.30,
criticalPressure = 52.15e5,
criticalMolarVolume = 66.20e-6,
acentricFactor = 0.051,
dipoleMoment = 0.0,
molarMass = SingleGasesData.F2.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Fluorine";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants CO2(
chemicalFormula = "CO2",
iupacName = "unknown",
structureFormula = "unknown",
casRegistryNumber = "124-38-9",
meltingPoint = 216.58,
normalBoilingPoint = -1.0,
criticalTemperature = 304.12,
criticalPressure = 73.74e5,
criticalMolarVolume = 94.07e-6,
acentricFactor = 0.225,
dipoleMoment = 0.0,
molarMass = SingleGasesData.CO2.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Carbon Dioxide"; // does not exist!
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants CO(
chemicalFormula = "CO",
iupacName = "carbon monoxide",
structureFormula = "unknown",
casRegistryNumber = "630-08-0",
meltingPoint = 68.15,
normalBoilingPoint = 81.66,
criticalTemperature = 132.85,
criticalPressure = 34.94e5,
criticalMolarVolume = 93.10e-6,
acentricFactor = 0.045,
dipoleMoment = 0.1,
molarMass = SingleGasesData.CO.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Carbon Monoxide";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants H2(
chemicalFormula = "H2",
iupacName = "molecular hydrogen",
structureFormula = "unknown",
casRegistryNumber = "800000-51-5",
meltingPoint = 13.56,
normalBoilingPoint = 20.38,
criticalTemperature = 33.25,
criticalPressure = 12.97e5,
criticalMolarVolume = 65.00e-6,
acentricFactor = -0.216,
dipoleMoment = 0.0,
molarMass = SingleGasesData.H2.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Hydrogen";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants H2O(
chemicalFormula = "H2O",
iupacName = "oxidane",
structureFormula = "H2O",
casRegistryNumber = "7732-18-5",
meltingPoint = 273.15,
normalBoilingPoint = 373.124,
criticalTemperature = 647.096,
criticalPressure = 220.64e5,
criticalMolarVolume = 55.95e-6,
acentricFactor = 0.344,
dipoleMoment = 1.8,
molarMass = SingleGasesData.H2O.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Steam";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants N2O(
chemicalFormula = "N2O",
iupacName = "nitrous oxide",
structureFormula = "unknown",
casRegistryNumber = "10024-97-2",
meltingPoint = 182.33,
normalBoilingPoint = 184.67,
criticalTemperature = 309.60,
criticalPressure = 72.55e5,
criticalMolarVolume = 97.00e-6,
acentricFactor = 0.142,
dipoleMoment = 0.2,
molarMass = SingleGasesData.N2O.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Nitrous Oxide";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants NO(
chemicalFormula = "NO",
iupacName = "nitric oxide",
structureFormula = "unknown",
casRegistryNumber = "10102-43-9",
meltingPoint = 109.51,
normalBoilingPoint = 121.38,
criticalTemperature = 180.00,
criticalPressure = 64.80e5,
criticalMolarVolume = 58.00e-6,
acentricFactor = 0.582,
dipoleMoment = 0.2,
molarMass = SingleGasesData.NO.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Nitric Oxide";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants NO2(
chemicalFormula = "NO2",
iupacName = "unknown",
structureFormula = "unknown",
casRegistryNumber = "10102-44-0",
meltingPoint = 261.95,
normalBoilingPoint = 294.0,
criticalTemperature = 431.35,
criticalPressure = 101.33e5,
criticalMolarVolume = 82.5e-6,
acentricFactor = 0.849,
dipoleMoment = 0.32,
molarMass = SingleGasesData.NO2.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Nitrogen Dioxide";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants NH3(
chemicalFormula = "NH3",
iupacName = "azane",
structureFormula = "unknown",
casRegistryNumber = "7664-41-7",
meltingPoint = 195.41,
normalBoilingPoint = 239.82,
criticalTemperature = 405.40,
criticalPressure = 113.53e5,
criticalMolarVolume = 72.47e-6,
acentricFactor = 0.257,
dipoleMoment = 1.5,
molarMass = SingleGasesData.NH3.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Ammonia";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants SO2(
chemicalFormula = "SO2",
iupacName = "sulfur dioxide",
structureFormula = "unknown",
casRegistryNumber = "7446-09-5",
meltingPoint = 197.67,
normalBoilingPoint = 263.13,
criticalTemperature = 430.80,
criticalPressure = 78.84e5,
criticalMolarVolume = 122.00e-6,
acentricFactor = 0.245,
dipoleMoment = 1.6,
molarMass = SingleGasesData.SO2.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Sulfur Dioxide";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants SO3(
chemicalFormula = "SO3",
iupacName = "sulfur trioxide",
structureFormula = "unknown",
casRegistryNumber = "7446-11-9",
meltingPoint = 289.95,
normalBoilingPoint = 317.90,
criticalTemperature = 490.90,
criticalPressure = 82.10e5,
criticalMolarVolume = 126.50e-6,
acentricFactor = 0.422,
dipoleMoment = 0.0,
molarMass = SingleGasesData.SO3.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Sulfur Trioxide";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants Ar(
chemicalFormula = "Ar",
iupacName = "argon",
structureFormula = "unknown",
casRegistryNumber = "7440-37-1",
meltingPoint = 83.80,
normalBoilingPoint = 87.27,
criticalTemperature = 150.86,
criticalPressure = 48.98e5,
criticalMolarVolume = 74.57e-6,
acentricFactor = -0.002,
dipoleMoment = 0.0,
molarMass = SingleGasesData.Ar.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Argon";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants He(
chemicalFormula = "He",
iupacName = "helium",
structureFormula = "unknown",
casRegistryNumber = "7440-59-7",
meltingPoint = 2.15,
normalBoilingPoint = 4.30,
criticalTemperature = 5.19,
criticalPressure = 2.27e5,
criticalMolarVolume = 57.30e-6,
acentricFactor = -0.390,
dipoleMoment = 0.0,
molarMass = SingleGasesData.He.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Helium";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants Ne(
chemicalFormula = "Ne",
iupacName = "neon",
structureFormula = "unknown",
casRegistryNumber = "7440-01-9",
meltingPoint = 24.56,
normalBoilingPoint = 27.07,
criticalTemperature = 44.40,
criticalPressure = 27.60e5,
criticalMolarVolume = 41.70e-6,
acentricFactor = -0.016,
dipoleMoment = 0.0,
molarMass = SingleGasesData.Ne.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Neon";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants CH4(
chemicalFormula = "CH4",
iupacName = "methane",
structureFormula = "unknown",
casRegistryNumber = "74-82-8",
meltingPoint = 90.69,
normalBoilingPoint = 111.66,
criticalTemperature = 190.56,
criticalPressure = 45.99e5,
criticalMolarVolume = 98.60e-6,
acentricFactor = 0.011,
dipoleMoment = 0.0,
molarMass = SingleGasesData.CH4.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Methane";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants C2H6(
chemicalFormula = "C2H6",
iupacName = "ethane",
structureFormula = "unknown",
casRegistryNumber = "74-84-0",
meltingPoint = 90.35,
normalBoilingPoint = 184.55,
criticalTemperature = 305.32,
criticalPressure = 48.72e5,
criticalMolarVolume = 145.50e-6,
acentricFactor = 0.099,
dipoleMoment = 0.0,
molarMass = SingleGasesData.C2H6.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Ethane";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants C3H8(
chemicalFormula = "C3H8",
iupacName = "propane",
structureFormula = "unknown",
casRegistryNumber = "74-98-6",
meltingPoint = 91.45,
normalBoilingPoint = 231.02,
criticalTemperature = 369.83,
criticalPressure = 42.48e5,
criticalMolarVolume = 200.00e-6,
acentricFactor = 0.152,
dipoleMoment = 0.0,
molarMass = SingleGasesData.C3H8.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Propane";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants C4H10_n_butane(
chemicalFormula = "C4H10",
iupacName = "butane",
structureFormula = "unknown",
casRegistryNumber = "106-97-8",
meltingPoint = 134.79,
normalBoilingPoint = 272.66,
criticalTemperature = 425.12,
criticalPressure = 37.96e5,
criticalMolarVolume = 255.00e-6,
acentricFactor = 0.20,
dipoleMoment = 0.0,
molarMass = SingleGasesData.C4H10_n_butane.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "N-Butane";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants C5H12_n_pentane(
chemicalFormula = "C5H12",
iupacName = "pentane",
structureFormula = "unknown",
casRegistryNumber = "109-66-0",
meltingPoint = 143.43,
normalBoilingPoint = 309.22,
criticalTemperature = 469.70,
criticalPressure = 33.70e5,
criticalMolarVolume = 311.00e-6,
acentricFactor = 0.252,
dipoleMoment = 0.0,
molarMass = SingleGasesData.C5H12_n_pentane.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "N-Pentane";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants C6H14_n_hexane(
chemicalFormula = "C6H14",
iupacName = "hexane",
structureFormula = "unknown",
casRegistryNumber = "110-54-3",
meltingPoint = 177.84,
normalBoilingPoint = 341.88,
criticalTemperature = 507.60,
criticalPressure = 30.25e5,
criticalMolarVolume = 368.00e-6,
acentricFactor = 0.300,
dipoleMoment = 0.0,
molarMass = SingleGasesData.C6H14_n_hexane.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "N-Hexane";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants C7H16_n_heptane(
chemicalFormula = "C7H16",
iupacName = "heptane",
structureFormula = "unknown",
casRegistryNumber = "142-82-5",
meltingPoint = 182.59,
normalBoilingPoint = 371.57,
criticalTemperature = 540.20,
criticalPressure = 27.40e5,
criticalMolarVolume = 428.00e-6,
acentricFactor = 0.350,
dipoleMoment = 0.0,
molarMass = SingleGasesData.C7H16_n_heptane.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "N-Heptane";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants C2H4(
chemicalFormula = "C2H4",
iupacName = "ethene",
structureFormula = "unknown",
casRegistryNumber = "74-85-1",
meltingPoint = 103.99,
normalBoilingPoint = 169.42,
criticalTemperature = 282.34,
criticalPressure = 50.41e5,
criticalMolarVolume = 131.10e-6,
acentricFactor = 0.087,
dipoleMoment = 0.0,
molarMass = SingleGasesData.C2H4.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Ethylene";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants C3H6_propylene(
chemicalFormula = "C3H6",
iupacName = "prop-1-ene",
structureFormula = "unknown",
casRegistryNumber = "115-07-1",
meltingPoint = 87.89,
normalBoilingPoint = 225.46,
criticalTemperature = 364.90,
criticalPressure = 46.00e5,
criticalMolarVolume = 184.60e-6,
acentricFactor = 0.142,
dipoleMoment = 0.4,
molarMass = SingleGasesData.C3H6_propylene.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Propylene";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants C4H8_1_butene(
chemicalFormula = "C4H8",
iupacName = "but-1-ene",
structureFormula = "unknown",
casRegistryNumber = "106-98-9",
meltingPoint = 87.79,
normalBoilingPoint = 266.92,
criticalTemperature = 419.50,
criticalPressure = 40.20e5,
criticalMolarVolume = 240.80e-6,
acentricFactor = 0.194,
dipoleMoment = 0.3,
molarMass = SingleGasesData.C4H8_1_butene.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "1-Butene";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants C5H10_1_pentene(
chemicalFormula = "C5H10",
iupacName = "pent-1-ene",
structureFormula = "unknown",
casRegistryNumber = "109-67-1",
meltingPoint = 106.95,
normalBoilingPoint = 303.11,
criticalTemperature = 464.80,
criticalPressure = 35.60e5,
criticalMolarVolume = 298.40e-6,
acentricFactor = 0.237,
dipoleMoment = 0.4,
molarMass = SingleGasesData.C5H10_1_pentene.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "1-Pentene";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants C6H12_1_hexene(
chemicalFormula = "C6H12",
iupacName = "hex-1-ene",
structureFormula = "unknown",
casRegistryNumber = "592-41-6",
meltingPoint = 133.34,
normalBoilingPoint = 336.63,
criticalTemperature = 504.00,
criticalPressure = 31.43e5,
criticalMolarVolume = 355.10e-6,
acentricFactor = 0.281,
dipoleMoment = 0.4,
molarMass = SingleGasesData.C6H12_1_hexene.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "1-Hexene";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants C7H14_1_heptene(
chemicalFormula = "C7H14",
iupacName = "hept-1-ene",
structureFormula = "unknown",
casRegistryNumber = "592-76-7",
meltingPoint = 153.45,
normalBoilingPoint = 366.79,
criticalTemperature = 537.30,
criticalPressure = 29.20e5,
criticalMolarVolume = 409.00e-6,
acentricFactor = 0.343,
dipoleMoment = 0.3,
molarMass = SingleGasesData.C7H14_1_heptene.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "1-Heptene";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants C2H2_vinylidene(
chemicalFormula = "C2H2",
iupacName = "acetylene",
structureFormula = "unknown",
casRegistryNumber = "74-86-2",
meltingPoint = 192.35,
normalBoilingPoint = 188.40,
criticalTemperature = 308.30,
criticalPressure = 61.14e5,
criticalMolarVolume = 112.20e-6,
acentricFactor = 0.189,
dipoleMoment = 0.0,
molarMass = SingleGasesData.C2H2_vinylidene.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Acetylene";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants C6H6(
chemicalFormula = "C6H6",
iupacName = "benzene",
structureFormula = "unknown",
casRegistryNumber = "71-43-2",
meltingPoint = 278.68,
normalBoilingPoint = 353.24,
criticalTemperature = 562.05,
criticalPressure = 48.95e5,
criticalMolarVolume = 256.00e-6,
acentricFactor = 0.210,
dipoleMoment = 0.0,
molarMass = SingleGasesData.C6H6.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Benzene";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants C8H18_n_octane(
chemicalFormula = "C8H18",
iupacName = "octane",
structureFormula = "unknown",
casRegistryNumber = "111-65-9",
meltingPoint = 216.39,
normalBoilingPoint = 398.82,
criticalTemperature = 568.70,
criticalPressure = 24.90e5,
criticalMolarVolume = 492.00e-6,
acentricFactor = 0.399,
dipoleMoment = 0.0,
molarMass = SingleGasesData.C8H18_n_octane.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "N-Octane";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants C8H10_ethylbenz(
chemicalFormula = "C8H10",
iupacName = "ethylbenzene",
structureFormula = "unknown",
casRegistryNumber = "100-41-4",
meltingPoint = 178.18,
normalBoilingPoint = 409.36,
criticalTemperature = 617.15,
criticalPressure = 36.09e5,
criticalMolarVolume = 374.00e-6,
acentricFactor = 0.304,
dipoleMoment = 0.4,
molarMass = SingleGasesData.C8H10_ethylbenz.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Ethylbenzene";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants CH3OH(
chemicalFormula = "CH3OH",
iupacName = "methanol",
structureFormula = "unknown",
casRegistryNumber = "67-56-1",
meltingPoint = 175.49,
normalBoilingPoint = 337.69,
criticalTemperature = 512.64,
criticalPressure = 80.97e5,
criticalMolarVolume = 118.00e-6,
acentricFactor = 0.565,
dipoleMoment = 1.7,
molarMass = SingleGasesData.CH3OH.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Methanol";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants C2H5OH(
chemicalFormula = "C2H5OH",
iupacName = "ethanol",
structureFormula = "unknown",
casRegistryNumber = "64-17-5",
meltingPoint = 159.05,
normalBoilingPoint = 351.80,
criticalTemperature = 513.92,
criticalPressure = 61.48e5,
criticalMolarVolume = 167.00e-6,
acentricFactor = 0.649,
dipoleMoment = 1.7,
molarMass = SingleGasesData.C2H5OH.MM,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "Ethanol";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants C3H7OH(
chemicalFormula = "C3H7OH",
iupacName = "propan-1-ol",
structureFormula = "unknown",
casRegistryNumber = "71-23-8",
meltingPoint = 147.00,
normalBoilingPoint = 370.93,
criticalTemperature = 536.78,
criticalPressure = 51.75e5,
criticalMolarVolume = 219.00e-6,
acentricFactor = 0.629,
dipoleMoment = 1.7,
molarMass = 60.1e-3,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "1-Propanol";
constant Modelica.Media.Interfaces.Types.IdealGas.FluidConstants C4H9OH(
chemicalFormula = "C4H9OH",
iupacName = "butan-1-ol",
structureFormula = "unknown",
casRegistryNumber = "71-36-3",
meltingPoint = 183.35,
normalBoilingPoint = 390.88,
criticalTemperature = 563.05,
criticalPressure = 44.23e5,
criticalMolarVolume = 275.00e-6,
acentricFactor = 0.589,
dipoleMoment = 1.8,
molarMass = 74.12e-3,
hasDipoleMoment = true,
hasIdealGasHeatCapacity=true,
hasCriticalData = true,
hasAcentricFactor = true) "1-Butanol";
end FluidData; |
Basic Functions for ideal gases: cp, h, s, thermal conductivity, viscosity | within Modelica.Media.IdealGases.Common;
package Functions
"Basic Functions for ideal gases: cp, h, s, thermal conductivity, viscosity"
extends Modelica.Icons.FunctionsPackage;
constant Boolean excludeEnthalpyOfFormation=true
"If true, enthalpy of formation Hf is not included in specific enthalpy h";
constant Modelica.Media.Interfaces.Choices.ReferenceEnthalpy referenceChoice=Modelica.Media.Interfaces.Choices.ReferenceEnthalpy.ZeroAt0K
"Choice of reference enthalpy";
constant Modelica.Media.Interfaces.Types.SpecificEnthalpy h_offset=0.0
"User defined offset for reference enthalpy, if referenceChoice = UserDefined";
constant Integer methodForThermalConductivity(min=1,max=2)=1;
function cp_T
"Compute specific heat capacity at constant pressure from temperature and gas data"
extends Modelica.Icons.Function;
input IdealGases.Common.DataRecord data "Ideal gas data";
input SI.Temperature T "Temperature";
output SI.SpecificHeatCapacity cp "Specific heat capacity at temperature T";
algorithm
cp := smooth(0,if T < data.Tlimit then data.R_s*(1/(T*T)*(data.alow[1] + T*(
data.alow[2] + T*(1.*data.alow[3] + T*(data.alow[4] + T*(data.alow[5] + T
*(data.alow[6] + data.alow[7]*T))))))) else data.R_s*(1/(T*T)*(data.ahigh[1]
+ T*(data.ahigh[2] + T*(1.*data.ahigh[3] + T*(data.ahigh[4] + T*(data.
ahigh[5] + T*(data.ahigh[6] + data.ahigh[7]*T))))))));
end cp_T;
function cp_Tlow
"Compute specific heat capacity at constant pressure, low T region"
extends Modelica.Icons.Function;
input IdealGases.Common.DataRecord data "Ideal gas data";
input SI.Temperature T "Temperature";
output SI.SpecificHeatCapacity cp "Specific heat capacity at temperature T";
algorithm
cp := data.R_s*(1/(T*T)*(data.alow[1] + T*(
data.alow[2] + T*(1.*data.alow[3] + T*(data.alow[4] + T*(data.alow[5] + T
*(data.alow[6] + data.alow[7]*T)))))));
end cp_Tlow;
function cp_Tlow_der
"Compute derivative of specific heat capacity at constant pressure, low T region"
extends Modelica.Icons.Function;
input IdealGases.Common.DataRecord data "Ideal gas data";
input SI.Temperature T "Temperature";
input Real dT(unit="K/s") "Temperature derivative";
output Real cp_der(unit="J/(kg.K.s)") "Derivative of specific heat capacity";
algorithm
cp_der := dT*data.R_s/(T*T*T)*(-2*data.alow[1] + T*(
-data.alow[2] + T*T*(data.alow[4] + T*(2.*data.alow[5] + T
*(3.*data.alow[6] + 4.*data.alow[7]*T)))));
end cp_Tlow_der;
function h_T "Compute specific enthalpy from temperature and gas data; reference is decided by the
refChoice input, or by the referenceChoice package constant by default"
import Modelica.Media.Interfaces.Choices;
extends Modelica.Icons.Function;
input IdealGases.Common.DataRecord data "Ideal gas data";
input SI.Temperature T "Temperature";
input Boolean exclEnthForm=excludeEnthalpyOfFormation
"If true, enthalpy of formation Hf is not included in specific enthalpy h";
input Modelica.Media.Interfaces.Choices.ReferenceEnthalpy
refChoice=referenceChoice
"Choice of reference enthalpy";
input SI.SpecificEnthalpy h_off=h_offset
"User defined offset for reference enthalpy, if referenceChoice = UserDefined";
output SI.SpecificEnthalpy h "Specific enthalpy at temperature T";
algorithm
h := smooth(0,(if T < data.Tlimit then data.R_s*((-data.alow[1] + T*(data.
blow[1] + data.alow[2]*Math.log(T) + T*(1.*data.alow[3] + T*(0.5*data.
alow[4] + T*(1/3*data.alow[5] + T*(0.25*data.alow[6] + 0.2*data.alow[7]*T))))))
/T) else data.R_s*((-data.ahigh[1] + T*(data.bhigh[1] + data.ahigh[2]*
Math.log(T) + T*(1.*data.ahigh[3] + T*(0.5*data.ahigh[4] + T*(1/3*data.
ahigh[5] + T*(0.25*data.ahigh[6] + 0.2*data.ahigh[7]*T))))))/T)) + (if
exclEnthForm then -data.Hf else 0.0) + (if (refChoice
== Choices.ReferenceEnthalpy.ZeroAt0K) then data.H0 else 0.0) + (if
refChoice == Choices.ReferenceEnthalpy.UserDefined then h_off else
0.0));
end h_T;
function h_T_der "Derivative function for h_T"
import Modelica.Media.Interfaces.Choices;
extends Modelica.Icons.Function;
input IdealGases.Common.DataRecord data "Ideal gas data";
input SI.Temperature T "Temperature";
input Boolean exclEnthForm=excludeEnthalpyOfFormation
"If true, enthalpy of formation Hf is not included in specific enthalpy h";
input Modelica.Media.Interfaces.Choices.ReferenceEnthalpy
refChoice=referenceChoice
"Choice of reference enthalpy";
input SI.SpecificEnthalpy h_off=h_offset
"User defined offset for reference enthalpy, if referenceChoice = UserDefined";
input Real dT(unit="K/s") "Temperature derivative";
output Real h_der(unit="J/(kg.s)") "Derivative of specific enthalpy at temperature T";
algorithm
h_der := dT*Modelica.Media.IdealGases.Common.Functions.cp_T(
data,T);
end h_T_der;
function h_Tlow "Compute specific enthalpy, low T region; reference is decided by the
refChoice input, or by the referenceChoice package constant by default"
import Modelica.Media.Interfaces.Choices;
extends Modelica.Icons.Function;
input IdealGases.Common.DataRecord data "Ideal gas data";
input SI.Temperature T "Temperature";
input Boolean exclEnthForm=excludeEnthalpyOfFormation
"If true, enthalpy of formation Hf is not included in specific enthalpy h";
input Modelica.Media.Interfaces.Choices.ReferenceEnthalpy
refChoice=referenceChoice
"Choice of reference enthalpy";
input SI.SpecificEnthalpy h_off=h_offset
"User defined offset for reference enthalpy, if referenceChoice = UserDefined";
output SI.SpecificEnthalpy h "Specific enthalpy at temperature T";
algorithm
h := data.R_s*((-data.alow[1] + T*(data.
blow[1] + data.alow[2]*Math.log(T) + T*(1.*data.alow[3] + T*(0.5*data.
alow[4] + T*(1/3*data.alow[5] + T*(0.25*data.alow[6] + 0.2*data.alow[7]*T))))))
/T) + (if
exclEnthForm then -data.Hf else 0.0) + (if (refChoice
== Choices.ReferenceEnthalpy.ZeroAt0K) then data.H0 else 0.0) + (if
refChoice == Choices.ReferenceEnthalpy.UserDefined then h_off else
0.0);
end h_Tlow;
function h_Tlow_der "Compute derivative of specific enthalpy, low T region; reference is decided by the
refChoice input, or by the referenceChoice package constant by default"
import Modelica.Media.Interfaces.Choices;
extends Modelica.Icons.Function;
input IdealGases.Common.DataRecord data "Ideal gas data";
input SI.Temperature T "Temperature";
input Boolean exclEnthForm=excludeEnthalpyOfFormation
"If true, enthalpy of formation Hf is not included in specific enthalpy h";
input Modelica.Media.Interfaces.Choices.ReferenceEnthalpy
refChoice=referenceChoice
"Choice of reference enthalpy";
input SI.SpecificEnthalpy h_off=h_offset
"User defined offset for reference enthalpy, if referenceChoice = UserDefined";
input Real dT(unit="K/s") "Temperature derivative";
output Real h_der(unit="J/(kg.s)")
"Derivative of specific enthalpy at temperature T";
algorithm
h_der := dT*Modelica.Media.IdealGases.Common.Functions.cp_Tlow(
data,T);
end h_Tlow_der;
function s0_T "Compute specific entropy from temperature and gas data"
extends Modelica.Icons.Function;
input IdealGases.Common.DataRecord data "Ideal gas data";
input SI.Temperature T "Temperature";
output SI.SpecificEntropy s "Specific entropy at temperature T";
algorithm
s := if T < data.Tlimit then data.R_s*(data.blow[2] - 0.5*data.alow[
1]/(T*T) - data.alow[2]/T + data.alow[3]*Math.log(T) + T*(
data.alow[4] + T*(0.5*data.alow[5] + T*(1/3*data.alow[6] + 0.25*data.alow[
7]*T)))) else data.R_s*(data.bhigh[2] - 0.5*data.ahigh[1]/(T*T) - data.
ahigh[2]/T + data.ahigh[3]*Math.log(T) + T*(data.ahigh[4]
+ T*(0.5*data.ahigh[5] + T*(1/3*data.ahigh[6] + 0.25*data.ahigh[7]*T))));
end s0_T;
function s0_Tlow "Compute specific entropy, low T region"
extends Modelica.Icons.Function;
input IdealGases.Common.DataRecord data "Ideal gas data";
input SI.Temperature T "Temperature";
output SI.SpecificEntropy s "Specific entropy at temperature T";
algorithm
s := data.R_s*(data.blow[2] - 0.5*data.alow[
1]/(T*T) - data.alow[2]/T + data.alow[3]*Math.log(T) + T*(
data.alow[4] + T*(0.5*data.alow[5] + T*(1/3*data.alow[6] + 0.25*data.alow[
7]*T))));
end s0_Tlow;
function s0_Tlow_der "Compute derivative of specific entropy, low T region"
extends Modelica.Icons.Function;
input IdealGases.Common.DataRecord data "Ideal gas data";
input SI.Temperature T "Temperature";
input Real T_der(unit="K/s") "Temperature derivative";
output Real s_der(unit="J/(kg.K.s)") "Derivative of specific entropy at temperature T";
algorithm
s_der := data.R_s*T_der*(data.alow[1]/(T*T*T) + data.alow[2]/(T*T) + data.alow[3]/T + data.alow[4] + T*(data.alow[5] + T*(data.alow[6] + T*data.alow[7])));
end s0_Tlow_der;
function dynamicViscosityLowPressure
"Dynamic viscosity of low pressure gases"
extends Modelica.Icons.Function;
input SI.Temperature T "Gas temperature";
input SI.Temperature Tc "Critical temperature of gas";
input SI.MolarMass M "Molar mass of gas";
input SI.MolarVolume Vc "Critical molar volume of gas";
input Real w "Acentric factor of gas";
input Modelica.Media.Interfaces.Types.DipoleMoment mu
"Dipole moment of gas molecule";
input Real k = 0.0 "Special correction for highly polar substances";
output SI.DynamicViscosity eta "Dynamic viscosity of gas";
protected
parameter Real Const1_SI=40.785*10^(-9.5)
"Constant in formula for eta converted to SI units";
parameter Real Const2_SI=131.3/1000.0
"Constant in formula for mur converted to SI units";
Real mur=Const2_SI*mu/sqrt(Vc*Tc)
"Dimensionless dipole moment of gas molecule";
Real Fc=1 - 0.2756*w + 0.059035*mur^4 + k
"Factor to account for molecular shape and polarities of gas";
Real Tstar "Dimensionless temperature defined by equation below";
Real Ov "Viscosity collision integral for the gas";
algorithm
Tstar := 1.2593*T/Tc;
Ov := 1.16145*Tstar^(-0.14874) + 0.52487*Modelica.Math.exp(-0.7732*Tstar) + 2.16178*Modelica.Math.exp(-2.43787
*Tstar);
eta := Const1_SI*Fc*sqrt(M*T)/(Vc^(2/3)*Ov);
end dynamicViscosityLowPressure;
function thermalConductivityEstimate
"Thermal conductivity of polyatomic gases (Eucken and Modified Eucken correlation)"
extends Modelica.Icons.Function;
input Modelica.Media.Interfaces.Types.SpecificHeatCapacity Cp
"Constant pressure heat capacity";
input Modelica.Media.Interfaces.Types.DynamicViscosity eta
"Dynamic viscosity";
input Integer method(min=1,max=2)=1
"1: Eucken Method, 2: Modified Eucken Method";
input IdealGases.Common.DataRecord data "Ideal gas data";
output Modelica.Media.Interfaces.Types.ThermalConductivity lambda
"Thermal conductivity [W/(m.k)]";
algorithm
lambda := if method == 1 then eta*(Cp - data.R_s + (9/4)*data.R_s)
else eta*(Cp - data.R_s)*(1.32 + 1.77/((Cp/data.R_s) - 1.0));
end thermalConductivityEstimate;
end Functions; |
Common packages and data for the ideal gas models | within Modelica.Media.IdealGases;
package Common "Common packages and data for the ideal gas models"
extends Modelica.Icons.Package;
record DataRecord
"Coefficient data record for properties of ideal gases based on NASA source"
extends Modelica.Icons.Record;
String name "Name of ideal gas";
SI.MolarMass MM "Molar mass";
SI.SpecificEnthalpy Hf "Enthalpy of formation at 298.15K";
SI.SpecificEnthalpy H0 "H0(298.15K) - H0(0K)";
SI.Temperature Tlimit "Temperature limit between low and high data sets";
Real alow[7] "Low temperature coefficients a";
Real blow[2] "Low temperature constants b";
Real ahigh[7] "High temperature coefficients a";
Real bhigh[2] "High temperature constants b";
SI.SpecificHeatCapacity R_s "Gas constant";
end DataRecord;
partial package SingleGasNasa
"Medium model of an ideal gas based on NASA source"
extends Interfaces.PartialPureSubstance(
ThermoStates=Modelica.Media.Interfaces.Choices.IndependentVariables.pT,
redeclare record FluidConstants =
Modelica.Media.Interfaces.Types.IdealGas.FluidConstants,
mediumName=data.name,
substanceNames={data.name},
singleState=false,
Temperature(min=200, max=6000, start=500, nominal=500),
SpecificEnthalpy(start=if Functions.referenceChoice==ReferenceEnthalpy.ZeroAt0K then data.H0 else
if Functions.referenceChoice==ReferenceEnthalpy.UserDefined then Functions.h_offset else 0, nominal=1.0e5),
Density(start=10, nominal=10),
AbsolutePressure(start=10e5, nominal=10e5));
redeclare record extends ThermodynamicState
"Thermodynamic state variables for ideal gases"
AbsolutePressure p "Absolute pressure of medium";
Temperature T "Temperature of medium";
end ThermodynamicState;
import Modelica.Math;
import Modelica.Media.Interfaces.Choices.ReferenceEnthalpy;
constant IdealGases.Common.DataRecord data
"Data record of ideal gas substance";
constant FluidConstants[nS] fluidConstants "Constant data for the fluid";
redeclare model extends BaseProperties(
T(stateSelect=if preferredMediumStates then StateSelect.prefer else StateSelect.default),
p(stateSelect=if preferredMediumStates then StateSelect.prefer else StateSelect.default))
"Base properties of ideal gas medium"
equation
assert(T >= 200 and T <= 6000, "
Temperature T (= " + String(T) + " K) is not in the allowed range
200 K <= T <= 6000 K required from medium model \"" + mediumName + "\".
");
MM = data.MM;
R_s = data.R_s;
h = Modelica.Media.IdealGases.Common.Functions.h_T(
data, T,
Modelica.Media.IdealGases.Common.Functions.excludeEnthalpyOfFormation,
Modelica.Media.IdealGases.Common.Functions.referenceChoice,
Modelica.Media.IdealGases.Common.Functions.h_offset);
u = h - R_s*T;
// Has to be written in the form d=f(p,T) in order that static
// state selection for p and T is possible
d = p/(R_s*T);
// connect state with BaseProperties
state.T = T;
state.p = p;
end BaseProperties;
redeclare function setState_pTX
"Return thermodynamic state as function of p, T and composition X"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
input MassFraction X[:]=reference_X "Mass fractions";
output ThermodynamicState state;
algorithm
state := ThermodynamicState(p=p,T=T);
end setState_pTX;
redeclare function setState_phX
"Return thermodynamic state as function of p, h and composition X"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input MassFraction X[:]=reference_X "Mass fractions";
output ThermodynamicState state;
algorithm
state := ThermodynamicState(p=p,T=T_h(h));
end setState_phX;
redeclare function setState_psX
"Return thermodynamic state as function of p, s and composition X"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
input MassFraction X[:]=reference_X "Mass fractions";
output ThermodynamicState state;
algorithm
state := ThermodynamicState(p=p,T=T_ps(p,s));
end setState_psX;
redeclare function setState_dTX
"Return thermodynamic state as function of d, T and composition X"
extends Modelica.Icons.Function;
input Density d "Density";
input Temperature T "Temperature";
input MassFraction X[:]=reference_X "Mass fractions";
output ThermodynamicState state;
algorithm
state := ThermodynamicState(p=d*data.R_s*T,T=T);
end setState_dTX;
redeclare function extends setSmoothState
"Return thermodynamic state so that it smoothly approximates: if x > 0 then state_a else state_b"
algorithm
state := ThermodynamicState(p=Media.Common.smoothStep(x, state_a.p, state_b.p, x_small),
T=Media.Common.smoothStep(x, state_a.T, state_b.T, x_small));
end setSmoothState;
redeclare function extends pressure "Return pressure of ideal gas"
algorithm
p := state.p;
end pressure;
redeclare function extends temperature "Return temperature of ideal gas"
algorithm
T := state.T;
end temperature;
redeclare function extends density "Return density of ideal gas"
algorithm
d := state.p/(data.R_s*state.T);
end density;
redeclare function extends specificEnthalpy "Return specific enthalpy"
extends Modelica.Icons.Function;
algorithm
h := Modelica.Media.IdealGases.Common.Functions.h_T(
data,state.T);
end specificEnthalpy;
redeclare function extends specificInternalEnergy
"Return specific internal energy"
extends Modelica.Icons.Function;
algorithm
u := Modelica.Media.IdealGases.Common.Functions.h_T(
data,state.T) - data.R_s*state.T;
end specificInternalEnergy;
redeclare function extends specificEntropy "Return specific entropy"
extends Modelica.Icons.Function;
algorithm
s := Modelica.Media.IdealGases.Common.Functions.s0_T(
data, state.T) - data.R_s*Modelica.Math.log(state.p/reference_p);
end specificEntropy;
redeclare function extends specificGibbsEnergy "Return specific Gibbs energy"
extends Modelica.Icons.Function;
algorithm
g := Modelica.Media.IdealGases.Common.Functions.h_T(
data,state.T) - state.T*specificEntropy(state);
end specificGibbsEnergy;
redeclare function extends specificHelmholtzEnergy
"Return specific Helmholtz energy"
extends Modelica.Icons.Function;
algorithm
f := Modelica.Media.IdealGases.Common.Functions.h_T(
data,state.T) - data.R_s*state.T - state.T*specificEntropy(state);
end specificHelmholtzEnergy;
redeclare function extends specificHeatCapacityCp
"Return specific heat capacity at constant pressure"
algorithm
cp := Modelica.Media.IdealGases.Common.Functions.cp_T(
data, state.T);
end specificHeatCapacityCp;
redeclare function extends specificHeatCapacityCv
"Compute specific heat capacity at constant volume from temperature and gas data"
algorithm
cv := Modelica.Media.IdealGases.Common.Functions.cp_T(
data, state.T) - data.R_s;
end specificHeatCapacityCv;
redeclare function extends isentropicExponent "Return isentropic exponent"
algorithm
gamma := specificHeatCapacityCp(state)/specificHeatCapacityCv(state);
end isentropicExponent;
redeclare function extends velocityOfSound "Return velocity of sound"
extends Modelica.Icons.Function;
algorithm
a := sqrt(max(0,data.R_s*state.T*Modelica.Media.IdealGases.Common.Functions.cp_T(
data, state.T)/specificHeatCapacityCv(state)));
end velocityOfSound;
function isentropicEnthalpyApproximation
"Approximate method of calculating h_is from upstream properties and downstream pressure"
extends Modelica.Icons.Function;
input SI.Pressure p2 "Downstream pressure";
input ThermodynamicState state "Properties at upstream location";
input Boolean exclEnthForm=Functions.excludeEnthalpyOfFormation
"If true, enthalpy of formation Hf is not included in specific enthalpy h";
input ReferenceEnthalpy refChoice=Functions.referenceChoice
"Choice of reference enthalpy";
input SpecificEnthalpy h_off=Functions.h_offset
"User defined offset for reference enthalpy, if referenceChoice = UserDefined";
output SI.SpecificEnthalpy h_is "Isentropic enthalpy";
protected
IsentropicExponent gamma = isentropicExponent(state) "Isentropic exponent";
algorithm
h_is := Modelica.Media.IdealGases.Common.Functions.h_T(
data,state.T,exclEnthForm,refChoice,h_off) +
gamma/(gamma - 1.0)*state.p/density(state)*((p2/state.p)^((gamma - 1)/gamma) - 1.0);
end isentropicEnthalpyApproximation;
redeclare function extends isentropicEnthalpy "Return isentropic enthalpy"
input Boolean exclEnthForm=Functions.excludeEnthalpyOfFormation
"If true, enthalpy of formation Hf is not included in specific enthalpy h";
input ReferenceEnthalpy refChoice=Functions.referenceChoice
"Choice of reference enthalpy";
input SpecificEnthalpy h_off=Functions.h_offset
"User defined offset for reference enthalpy, if referenceChoice = UserDefined";
algorithm
h_is := isentropicEnthalpyApproximation(p_downstream,refState,exclEnthForm,refChoice,h_off);
end isentropicEnthalpy;
redeclare function extends isobaricExpansionCoefficient
"Returns overall the isobaric expansion coefficient beta"
algorithm
beta := 1/state.T;
end isobaricExpansionCoefficient;
redeclare function extends isothermalCompressibility
"Returns overall the isothermal compressibility factor"
algorithm
kappa := 1.0/state.p;
end isothermalCompressibility;
redeclare function extends density_derp_T
"Returns the partial derivative of density with respect to pressure at constant temperature"
algorithm
ddpT := 1/(state.T*data.R_s);
end density_derp_T;
redeclare function extends density_derT_p
"Returns the partial derivative of density with respect to temperature at constant pressure"
algorithm
ddTp := -state.p/(state.T*state.T*data.R_s);
end density_derT_p;
redeclare function extends density_derX
"Returns the partial derivative of density with respect to mass fractions at constant pressure and temperature"
algorithm
dddX := fill(0,nX);
end density_derX;
redeclare replaceable function extends dynamicViscosity "Dynamic viscosity"
algorithm
assert(fluidConstants[1].hasCriticalData,
"Failed to compute dynamicViscosity: For the species \"" + mediumName + "\" no critical data is available.");
assert(fluidConstants[1].hasDipoleMoment,
"Failed to compute dynamicViscosity: For the species \"" + mediumName + "\" no critical data is available.");
eta := Modelica.Media.IdealGases.Common.Functions.dynamicViscosityLowPressure(
state.T,
fluidConstants[1].criticalTemperature,
fluidConstants[1].molarMass,
fluidConstants[1].criticalMolarVolume,
fluidConstants[1].acentricFactor,
fluidConstants[1].dipoleMoment);
end dynamicViscosity;
redeclare replaceable function extends thermalConductivity
"Thermal conductivity of gas"
// input IdealGases.Common.DataRecord data "Ideal gas data";
input Integer method=Functions.methodForThermalConductivity
"1: Eucken Method, 2: Modified Eucken Method";
algorithm
assert(fluidConstants[1].hasCriticalData,
"Failed to compute thermalConductivity: For the species \"" + mediumName + "\" no critical data is available.");
lambda := Modelica.Media.IdealGases.Common.Functions.thermalConductivityEstimate(
specificHeatCapacityCp(state),
dynamicViscosity(state), method=method,data=data);
end thermalConductivity;
redeclare function extends molarMass "Return the molar mass of the medium"
algorithm
MM := data.MM;
end molarMass;
function T_h "Compute temperature from specific enthalpy"
extends Modelica.Icons.Function;
input SpecificEnthalpy h "Specific enthalpy";
output Temperature T "Temperature";
protected
function f_nonlinear "Solve h(data,T) for T with given h (use only indirectly via temperature_phX)"
extends Modelica.Math.Nonlinear.Interfaces.partialScalarFunction;
input DataRecord data "Ideal gas data";
input SpecificEnthalpy h "Specific enthalpy";
algorithm
y := Functions.h_T(data=data, T=u) - h;
end f_nonlinear;
algorithm
T := Modelica.Math.Nonlinear.solveOneNonlinearEquation(
function f_nonlinear(data=data, h=h), 200, 6000);
end T_h;
function T_ps "Compute temperature from pressure and specific entropy"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
output Temperature T "Temperature";
protected
function f_nonlinear "Solve s(data,T) for T with given s (use only indirectly via temperature_psX)"
extends Modelica.Math.Nonlinear.Interfaces.partialScalarFunction;
input DataRecord data "Ideal gas data";
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
algorithm
y := Functions.s0_T(data=data, T=u) - data.R_s*Modelica.Math.log(p/reference_p) - s;
end f_nonlinear;
algorithm
T := Modelica.Math.Nonlinear.solveOneNonlinearEquation(
function f_nonlinear(data=data, p=p, s=s), 200, 6000);
end T_ps;
// the functions below are not strictly necessary, there are just here for compatibility reasons
function dynamicViscosityLowPressure
"Dynamic viscosity of low pressure gases"
extends Modelica.Icons.Function;
input SI.Temperature T "Gas temperature";
input SI.Temperature Tc "Critical temperature of gas";
input SI.MolarMass M "Molar mass of gas";
input SI.MolarVolume Vc "Critical molar volume of gas";
input Real w "Acentric factor of gas";
input Modelica.Media.Interfaces.Types.DipoleMoment mu
"Dipole moment of gas molecule";
input Real k = 0.0 "Special correction for highly polar substances";
output Modelica.Media.Interfaces.Types.DynamicViscosity eta
"Dynamic viscosity of gas";
protected
parameter Real Const1_SI=40.785*10^(-9.5)
"Constant in formula for eta converted to SI units";
parameter Real Const2_SI=131.3/1000.0
"Constant in formula for mur converted to SI units";
Real mur=Const2_SI*mu/sqrt(Vc*Tc)
"Dimensionless dipole moment of gas molecule";
Real Fc=1 - 0.2756*w + 0.059035*mur^4 + k
"Factor to account for molecular shape and polarities of gas";
Real Tstar "Dimensionless temperature defined by equation below";
Real Ov "Viscosity collision integral for the gas";
algorithm
eta := Functions.dynamicViscosityLowPressure(T,Tc,M,Vc,w,mu,k);
end dynamicViscosityLowPressure;
function thermalConductivityEstimate
"Thermal conductivity of polyatomic gases(Eucken and Modified Eucken correlation)"
extends Modelica.Icons.Function;
input Modelica.Media.Interfaces.Types.SpecificHeatCapacity Cp
"Constant pressure heat capacity";
input Modelica.Media.Interfaces.Types.DynamicViscosity eta
"Dynamic viscosity";
input Integer method(min=1,max=2)=1
"1: Eucken Method, 2: Modified Eucken Method";
input IdealGases.Common.DataRecord data "Ideal gas data";
output Modelica.Media.Interfaces.Types.ThermalConductivity lambda
"Thermal conductivity [W/(m.k)]";
algorithm
lambda := Functions.thermalConductivityEstimate(Cp,eta,method,data);
end thermalConductivityEstimate;
end SingleGasNasa;
partial package MixtureGasNasa
"Medium model of a mixture of ideal gases based on NASA source"
import Modelica.Math;
import Modelica.Media.Interfaces.Choices.ReferenceEnthalpy;
extends Modelica.Media.Interfaces.PartialMixtureMedium(
ThermoStates=Modelica.Media.Interfaces.Choices.IndependentVariables.pTX,
substanceNames=data[:].name,
reducedX = false,
singleState=false,
reference_X=fill(1/nX,nX),
SpecificEnthalpy(start=if referenceChoice==ReferenceEnthalpy.ZeroAt0K then 3e5 else
if referenceChoice==ReferenceEnthalpy.UserDefined then h_offset else 0, nominal=1.0e5),
Density(start=10, nominal=10),
AbsolutePressure(start=10e5, nominal=10e5),
Temperature(min=200, max=6000, start=500, nominal=500));
redeclare record extends ThermodynamicState "Thermodynamic state variables"
end ThermodynamicState;
// redeclare record extends FluidConstants "Fluid constants"
// end FluidConstants;
constant Modelica.Media.IdealGases.Common.DataRecord[:] data
"Data records of ideal gas substances";
// ={Common.SingleGasesData.N2,Common.SingleGasesData.O2}
constant Boolean excludeEnthalpyOfFormation=true
"If true, enthalpy of formation Hf is not included in specific enthalpy h";
constant ReferenceEnthalpy referenceChoice=ReferenceEnthalpy.ZeroAt0K
"Choice of reference enthalpy";
constant SpecificEnthalpy h_offset=0.0
"User defined offset for reference enthalpy, if referenceChoice = UserDefined";
// constant FluidConstants[nX] fluidConstants
// "Additional data needed for transport properties";
constant MolarMass[nX] MMX=data[:].MM "Molar masses of components";
constant Integer methodForThermalConductivity(min=1,max=2)=1;
redeclare replaceable model extends BaseProperties(
T(stateSelect=if preferredMediumStates then StateSelect.prefer else StateSelect.default),
p(stateSelect=if preferredMediumStates then StateSelect.prefer else StateSelect.default),
Xi(each stateSelect=if preferredMediumStates then StateSelect.prefer else StateSelect.default),
final standardOrderComponents=true)
"Base properties (p, d, T, h, u, R_s, MM, X, and Xi of NASA mixture gas"
equation
assert(T >= 200 and T <= 6000, "
Temperature T (=" + String(T) + " K = 200 K) is not in the allowed range
200 K <= T <= 6000 K
required from medium model \"" + mediumName + "\".");
MM = molarMass(state);
h = h_TX(T, X);
R_s = data.R_s*X;
u = h - R_s*T;
d = p/(R_s*T);
// connect state with BaseProperties
state.T = T;
state.p = p;
state.X = if fixedX then reference_X else X;
end BaseProperties;
redeclare function setState_pTX
"Return thermodynamic state as function of p, T and composition X"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
input MassFraction X[:]=reference_X "Mass fractions";
output ThermodynamicState state;
algorithm
state := if size(X,1) == 0 then ThermodynamicState(p=p,T=T,X=reference_X) else if size(X,1) == nX then ThermodynamicState(p=p,T=T, X=X) else
ThermodynamicState(p=p,T=T, X=cat(1,X,{1-sum(X)}));
end setState_pTX;
redeclare function setState_phX
"Return thermodynamic state as function of p, h and composition X"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input MassFraction X[:]=reference_X "Mass fractions";
output ThermodynamicState state;
algorithm
state := if size(X,1) == 0 then ThermodynamicState(p=p,T=T_hX(h,reference_X),X=reference_X) else if size(X,1) == nX then ThermodynamicState(p=p,T=T_hX(h,X),X=X) else
ThermodynamicState(p=p,T=T_hX(h,X), X=cat(1,X,{1-sum(X)}));
end setState_phX;
redeclare function setState_psX
"Return thermodynamic state as function of p, s and composition X"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
input MassFraction X[:]=reference_X "Mass fractions";
output ThermodynamicState state;
algorithm
state := if size(X,1) == 0 then ThermodynamicState(p=p,T=T_psX(p,s,reference_X),X=reference_X) else if size(X,1) == nX then ThermodynamicState(p=p,T=T_psX(p,s,X),X=X) else
ThermodynamicState(p=p,T=T_psX(p,s,X), X=cat(1,X,{1-sum(X)}));
end setState_psX;
redeclare function setState_dTX
"Return thermodynamic state as function of d, T and composition X"
extends Modelica.Icons.Function;
input Density d "Density";
input Temperature T "Temperature";
input MassFraction X[:]=reference_X "Mass fractions";
output ThermodynamicState state;
algorithm
state := if size(X,1) == 0 then ThermodynamicState(p=d*(data.R_s*reference_X)*T,T=T,X=reference_X) else if size(X,1) == nX then ThermodynamicState(p=d*(data.R_s*X)*T,T=T,X=X) else
ThermodynamicState(p=d*(data.R_s*cat(1,X,{1-sum(X)}))*T,T=T, X=cat(1,X,{1-sum(X)}));
end setState_dTX;
redeclare function extends setSmoothState
"Return thermodynamic state so that it smoothly approximates: if x > 0 then state_a else state_b"
algorithm
state := ThermodynamicState(p=Media.Common.smoothStep(x, state_a.p, state_b.p, x_small),
T=Media.Common.smoothStep(x, state_a.T, state_b.T, x_small),
X=Media.Common.smoothStep(x, state_a.X, state_b.X, x_small));
end setSmoothState;
redeclare function extends pressure "Return pressure of ideal gas"
algorithm
p := state.p;
end pressure;
redeclare function extends temperature "Return temperature of ideal gas"
algorithm
T := state.T;
end temperature;
redeclare function extends density "Return density of ideal gas"
algorithm
d := state.p/((state.X*data.R_s)*state.T);
end density;
redeclare function extends specificEnthalpy "Return specific enthalpy"
extends Modelica.Icons.Function;
algorithm
h := h_TX(state.T,state.X);
end specificEnthalpy;
redeclare function extends specificInternalEnergy
"Return specific internal energy"
extends Modelica.Icons.Function;
algorithm
u := h_TX(state.T,state.X) - gasConstant(state)*state.T;
end specificInternalEnergy;
redeclare function extends specificEntropy "Return specific entropy"
extends Modelica.Icons.Function;
algorithm
s := specificEntropyOfpTX(state.p, state.T, state.X);
end specificEntropy;
redeclare function extends specificGibbsEnergy "Return specific Gibbs energy"
extends Modelica.Icons.Function;
algorithm
g := h_TX(state.T,state.X) - state.T*specificEntropy(state);
end specificGibbsEnergy;
redeclare function extends specificHelmholtzEnergy
"Return specific Helmholtz energy"
extends Modelica.Icons.Function;
algorithm
f := h_TX(state.T,state.X) - gasConstant(state)*state.T - state.T*specificEntropy(state);
end specificHelmholtzEnergy;
function h_TX "Return specific enthalpy"
import Modelica.Media.Interfaces.Choices;
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature";
input MassFraction X[nX]=reference_X
"Independent Mass fractions of gas mixture";
input Boolean exclEnthForm=excludeEnthalpyOfFormation
"If true, enthalpy of formation Hf is not included in specific enthalpy h";
input Modelica.Media.Interfaces.Choices.ReferenceEnthalpy
refChoice=referenceChoice
"Choice of reference enthalpy";
input SI.SpecificEnthalpy h_off=h_offset
"User defined offset for reference enthalpy, if referenceChoice = UserDefined";
output SI.SpecificEnthalpy h "Specific enthalpy at temperature T";
algorithm
h :=(if fixedX then reference_X else X)*
{Modelica.Media.IdealGases.Common.Functions.h_T(
data[i], T, exclEnthForm, refChoice, h_off) for i in 1:nX};
end h_TX;
function h_TX_der "Return specific enthalpy derivative"
import Modelica.Media.Interfaces.Choices;
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature";
input MassFraction X[nX] "Independent Mass fractions of gas mixture";
input Boolean exclEnthForm=excludeEnthalpyOfFormation
"If true, enthalpy of formation Hf is not included in specific enthalpy h";
input Modelica.Media.Interfaces.Choices.ReferenceEnthalpy
refChoice=referenceChoice
"Choice of reference enthalpy";
input SI.SpecificEnthalpy h_off=h_offset
"User defined offset for reference enthalpy, if referenceChoice = UserDefined";
input Real dT "Temperature derivative";
input Real dX[nX] "Independent mass fraction derivative";
output Real h_der "Specific enthalpy at temperature T";
algorithm
h_der := if fixedX then
dT*sum((Modelica.Media.IdealGases.Common.Functions.cp_T(
data[i], T)*reference_X[i]) for i in 1:nX) else
dT*sum((Modelica.Media.IdealGases.Common.Functions.cp_T(
data[i], T)*X[i]) for i in 1:nX)+
sum((Modelica.Media.IdealGases.Common.Functions.h_T(
data[i], T)*dX[i]) for i in 1:nX);
end h_TX_der;
redeclare function extends gasConstant "Return gasConstant"
algorithm
R_s := data.R_s*state.X;
end gasConstant;
redeclare function extends specificHeatCapacityCp
"Return specific heat capacity at constant pressure"
algorithm
cp := {Modelica.Media.IdealGases.Common.Functions.cp_T(
data[i], state.T) for i in 1:nX}*state.X;
end specificHeatCapacityCp;
redeclare function extends specificHeatCapacityCv
"Return specific heat capacity at constant volume from temperature and gas data"
algorithm
cv := {Modelica.Media.IdealGases.Common.Functions.cp_T(
data[i], state.T) for i in 1:nX}*state.X -data.R_s*state.X;
end specificHeatCapacityCv;
function MixEntropy "Return mixing entropy of ideal gases / R"
extends Modelica.Icons.Function;
input SI.MoleFraction x[:] "Mole fraction of mixture";
output Real smix "Mixing entropy contribution, divided by gas constant";
algorithm
smix := sum(if x[i] > Modelica.Constants.eps then -x[i]*Modelica.Math.log(x[i]) else
x[i] for i in 1:size(x,1));
end MixEntropy;
function s_TX
"Return temperature dependent part of the entropy, expects full entropy vector"
extends Modelica.Icons.Function;
input Temperature T "Temperature";
input MassFraction[nX] X "Mass fraction";
output SpecificEntropy s "Specific entropy";
algorithm
s := sum(Modelica.Media.IdealGases.Common.Functions.s0_T(
data[i], T)*X[i] for i in 1:size(X,1));
end s_TX;
redeclare function extends isentropicExponent "Return isentropic exponent"
algorithm
gamma := specificHeatCapacityCp(state)/specificHeatCapacityCv(state);
end isentropicExponent;
redeclare function extends velocityOfSound "Return velocity of sound"
extends Modelica.Icons.Function;
input ThermodynamicState state "Properties at upstream location";
algorithm
a := sqrt(max(0,gasConstant(state)*state.T*specificHeatCapacityCp(state)/specificHeatCapacityCv(state)));
end velocityOfSound;
function isentropicEnthalpyApproximation
"Approximate method of calculating h_is from upstream properties and downstream pressure"
extends Modelica.Icons.Function;
input AbsolutePressure p2 "Downstream pressure";
input ThermodynamicState state "Thermodynamic state at upstream location";
output SpecificEnthalpy h_is "Isentropic enthalpy";
protected
SpecificEnthalpy h "Specific enthalpy at upstream location";
SpecificEnthalpy h_component[nX] "Specific enthalpy at upstream location";
IsentropicExponent gamma = isentropicExponent(state) "Isentropic exponent";
protected
MassFraction[nX] X "Complete X-vector";
algorithm
X := if reducedX then cat(1,state.X,{1-sum(state.X)}) else state.X;
h_component :={Modelica.Media.IdealGases.Common.Functions.h_T(
data[i], state.T, excludeEnthalpyOfFormation,
referenceChoice, h_offset) for i in 1:nX};
h :=h_component*X;
h_is := h + gamma/(gamma - 1.0)*(state.T*gasConstant(state))*
((p2/state.p)^((gamma - 1)/gamma) - 1.0);
end isentropicEnthalpyApproximation;
redeclare function extends isentropicEnthalpy "Return isentropic enthalpy"
input Boolean exact = false
"Flag whether exact or approximate version should be used";
algorithm
h_is := if exact then specificEnthalpy_psX(p_downstream,specificEntropy(refState),refState.X) else
isentropicEnthalpyApproximation(p_downstream,refState);
end isentropicEnthalpy;
function gasMixtureViscosity
"Return viscosities of gas mixtures at low pressures (Wilke method)"
extends Modelica.Icons.Function;
input MoleFraction[:] yi "Mole fractions";
input MolarMass[size(yi,1)] M "Mole masses";
input DynamicViscosity[size(yi,1)] eta "Pure component viscosities";
output DynamicViscosity etam "Viscosity of the mixture";
protected
Real fi[size(yi,1),size(yi,1)];
algorithm
for i in 1:size(eta,1) loop
assert(fluidConstants[i].hasDipoleMoment,"Dipole moment for " + fluidConstants[i].chemicalFormula +
" not known. Can not compute viscosity.");
assert(fluidConstants[i].hasCriticalData, "Critical data for "+ fluidConstants[i].chemicalFormula +
" not known. Can not compute viscosity.");
for j in 1:size(eta,1) loop
if i==1 then
fi[i,j] := (1 + (eta[i]/eta[j])^(1/2)*(M[j]/M[i])^(1/4))^2/(8*(1 + M[i]/M[j]))^(1/2);
elseif j<i then
fi[i,j] := eta[i]/eta[j]*M[j]/M[i]*fi[j,i];
else
fi[i,j] := (1 + (eta[i]/eta[j])^(1/2)*(M[j]/M[i])^(1/4))^2/(8*(1 + M[i]/M[j]))^(1/2);
end if;
end for;
end for;
etam := sum(yi[i]*eta[i]/sum(yi[j]*fi[i,j] for j in 1:size(eta,1)) for i in 1:size(eta,1));
end gasMixtureViscosity;
redeclare replaceable function extends dynamicViscosity
"Return mixture dynamic viscosity"
protected
DynamicViscosity[nX] etaX "Component dynamic viscosities";
algorithm
for i in 1:nX loop
etaX[i] := Modelica.Media.IdealGases.Common.Functions.dynamicViscosityLowPressure(
state.T,
fluidConstants[i].criticalTemperature,
fluidConstants[i].molarMass,
fluidConstants[i].criticalMolarVolume,
fluidConstants[i].acentricFactor,
fluidConstants[i].dipoleMoment);
end for;
eta := gasMixtureViscosity(massToMoleFractions(state.X,
fluidConstants[:].molarMass),
fluidConstants[:].molarMass,
etaX);
end dynamicViscosity;
function mixtureViscosityChung
"Return the viscosity of gas mixtures without access to component viscosities (Chung, et. al. rules)"
extends Modelica.Icons.Function;
input Temperature T "Temperature";
input Temperature[nX] Tc "Critical temperatures";
input MolarVolume[nX] Vcrit "Critical volumes (m3/mol)";
input Real[nX] w "Acentric factors";
input Real[nX] mu "Dipole moments (debyes)";
input MolarMass[nX] MolecularWeights "Molecular weights (kg/mol)";
input MoleFraction[nX] y "Molar Fractions";
input Real[nX] kappa = zeros(nX) "Association Factors";
output DynamicViscosity etaMixture "Mixture viscosity (Pa.s)";
protected
constant Real[size(y,1)] Vc = Vcrit*1000000 "Critical volumes (cm3/mol)";
constant Real[size(y,1)] M = MolecularWeights*1000
"Molecular weights (g/mol)";
Integer n = size(y,1) "Number of mixed elements";
Real sigmam3 "Mixture sigma3 in Angstrom";
Real sigma[size(y,1),size(y,1)];
Real edivkm;
Real edivk[size(y,1),size(y,1)];
Real Mm;
Real Mij[size(y,1),size(y,1)];
Real wm "Acentric factor";
Real wij[size(y,1),size(y,1)];
Real kappam
"Correlation for highly polar substances such as alcohols and acids";
Real kappaij[size(y,1),size(y,1)];
Real mum;
Real Vcm;
Real Tcm;
Real murm "Dimensionless dipole moment of the mixture";
Real Fcm "Factor to correct for shape and polarity";
Real omegav;
Real Tmstar;
Real etam "Mixture viscosity in microP";
algorithm
//combining rules
for i in 1:n loop
for j in 1:n loop
Mij[i,j] := 2*M[i]*M[j]/(M[i]+M[j]);
if i==j then
sigma[i,j] := 0.809*Vc[i]^(1/3);
edivk[i,j] := Tc[i]/1.2593;
wij[i,j] := w[i];
kappaij[i,j] := kappa[i];
else
sigma[i,j] := (0.809*Vc[i]^(1/3)*0.809*Vc[j]^(1/3))^(1/2);
edivk[i,j] := (Tc[i]/1.2593*Tc[j]/1.2593)^(1/2);
wij[i,j] := (w[i] + w[j])/2;
kappaij[i,j] := (kappa[i]*kappa[j])^(1/2);
end if;
end for;
end for;
//mixing rules
sigmam3 := (sum(sum(y[i]*y[j]*sigma[i,j]^3 for j in 1:n) for i in 1:n));
//(epsilon/k)m
edivkm := (sum(sum(y[i]*y[j]*edivk[i,j]*sigma[i,j]^3 for j in 1:n) for i in 1:n))/sigmam3;
Mm := ((sum(sum(y[i]*y[j]*edivk[i,j]*sigma[i,j]^2*Mij[i,j]^(1/2) for j in 1:n) for i in 1:n))/(edivkm*sigmam3^(2/3)))^2;
wm := (sum(sum(y[i]*y[j]*wij[i,j]*sigma[i,j]^3 for j in 1:n) for i in 1:n))/sigmam3;
mum := (sigmam3*(sum(sum(y[i]*y[j]*mu[i]^2*mu[j]^2/sigma[i,j]^3 for j in 1:n) for i in 1:n)))^(1/4);
Vcm := sigmam3/(0.809)^3 "eq. (4)";
Tcm := 1.2593*edivkm "eq. (5)";
murm := 131.3*mum/(Vcm*Tcm)^(1/2) "eq. (8)";
kappam := (sigmam3*(sum(sum(y[i]*y[j]*kappaij[i,j] for j in 1:n) for i in 1:n)));
Fcm := 1 - 0.275*wm + 0.059035*murm^4 + kappam "eq. (7)";
Tmstar := T/edivkm "eq. (3)";
omegav := 1.16145*(Tmstar)^(-0.14874) + 0.52487*Modelica.Math.exp(-0.77320*Tmstar) + 2.16178*Modelica.Math.exp(-2.43787*Tmstar) "eq. (2)";
etam := 26.69*Fcm*(Mm*T)^(1/2)/(sigmam3^(2/3)*omegav) "eq. (1)";
etaMixture := etam*1e-7; // conversion from microPoise->Pa.s
end mixtureViscosityChung;
function lowPressureThermalConductivity
"Return thermal conductivities of low-pressure gas mixtures (Mason and Saxena Modification)"
extends Modelica.Icons.Function;
input MoleFraction[:] y "Mole fraction of the components in the gas mixture";
input Temperature T "Temperature";
input Temperature[size(y,1)] Tc "Critical temperatures";
input AbsolutePressure[size(y,1)] Pc "Critical pressures";
input MolarMass[size(y,1)] M "Molecular weights";
input ThermalConductivity[size(y,1)] lambda
"Thermal conductivities of the pure gases";
output ThermalConductivity lambdam "Thermal conductivity of the gas mixture";
protected
MolarMass[size(y,1)] gamma;
Real[size(y,1)] Tr "Reduced temperature";
Real[size(y,1),size(y,1)] A "Mason and Saxena Modification";
constant Real epsilon = 1.0 "Numerical constant near unity";
algorithm
for i in 1:size(y,1) loop
gamma[i] := 210*(Tc[i]*M[i]^3/Pc[i]^4)^(1/6);
Tr[i] := T/Tc[i];
end for;
for i in 1:size(y,1) loop
for j in 1:size(y,1) loop
A[i,j] := epsilon*(1 + (gamma[j]*(Math.exp(0.0464*Tr[i]) - Math.exp(-0.2412*Tr[i]))/
(gamma[i]*(Math.exp(0.0464*Tr[j]) - Math.exp(-0.2412*Tr[j]))))^(1/2)*(M[i]/M[j])^(1/4))^2/
(8*(1 + M[i]/M[j]))^(1/2);
end for;
end for;
lambdam := sum(y[i]*lambda[i]/(sum(y[j]*A[i,j] for j in 1:size(y,1))) for i in 1:size(y,1));
end lowPressureThermalConductivity;
redeclare replaceable function extends thermalConductivity
"Return thermal conductivity for low pressure gas mixtures"
input Integer method=methodForThermalConductivity
"Method to compute single component thermal conductivity";
protected
ThermalConductivity[nX] lambdaX "Component thermal conductivities";
DynamicViscosity[nX] eta "Component thermal dynamic viscosities";
SpecificHeatCapacity[nX] cp "Component heat capacity";
algorithm
for i in 1:nX loop
assert(fluidConstants[i].hasCriticalData, "Critical data for "+ fluidConstants[i].chemicalFormula +
" not known. Can not compute thermal conductivity.");
eta[i] := Modelica.Media.IdealGases.Common.Functions.dynamicViscosityLowPressure(
state.T,
fluidConstants[i].criticalTemperature,
fluidConstants[i].molarMass,
fluidConstants[i].criticalMolarVolume,
fluidConstants[i].acentricFactor,
fluidConstants[i].dipoleMoment);
cp[i] := Modelica.Media.IdealGases.Common.Functions.cp_T(
data[i],state.T);
lambdaX[i] :=Modelica.Media.IdealGases.Common.Functions.thermalConductivityEstimate(
Cp=cp[i], eta=
eta[i], method=method,data=data[i]);
end for;
lambda := lowPressureThermalConductivity(massToMoleFractions(state.X,
fluidConstants[:].molarMass),
state.T,
fluidConstants[:].criticalTemperature,
fluidConstants[:].criticalPressure,
fluidConstants[:].molarMass,
lambdaX);
end thermalConductivity;
redeclare function extends isobaricExpansionCoefficient
"Return isobaric expansion coefficient beta"
algorithm
beta := 1/state.T;
end isobaricExpansionCoefficient;
redeclare function extends isothermalCompressibility
"Return isothermal compressibility factor"
algorithm
kappa := 1.0/state.p;
end isothermalCompressibility;
redeclare function extends density_derp_T
"Return density derivative by pressure at constant temperature"
algorithm
ddpT := 1/(state.T*gasConstant(state));
end density_derp_T;
redeclare function extends density_derT_p
"Return density derivative by temperature at constant pressure"
algorithm
ddTp := -state.p/(state.T*state.T*gasConstant(state));
end density_derT_p;
redeclare function density_derX "Return density derivative by mass fraction"
extends Modelica.Icons.Function;
input ThermodynamicState state "Thermodynamic state record";
output Density[nX] dddX "Derivative of density w.r.t. mass fraction";
algorithm
dddX := {-state.p/(state.T*gasConstant(state))*molarMass(state)/data[
i].MM for i in 1:nX};
end density_derX;
redeclare function extends molarMass "Return molar mass of mixture"
algorithm
MM := 1/sum(state.X[j]/data[j].MM for j in 1:size(state.X, 1));
end molarMass;
function T_hX "Return temperature from specific enthalpy and mass fraction"
extends Modelica.Icons.Function;
input SpecificEnthalpy h "Specific enthalpy";
input MassFraction[nX] X "Mass fractions of composition";
input Boolean exclEnthForm=excludeEnthalpyOfFormation
"If true, enthalpy of formation Hf is not included in specific enthalpy h";
input Modelica.Media.Interfaces.Choices.ReferenceEnthalpy
refChoice=referenceChoice
"Choice of reference enthalpy";
input SI.SpecificEnthalpy h_off=h_offset
"User defined offset for reference enthalpy, if referenceChoice = UserDefined";
output Temperature T "Temperature";
protected
function f_nonlinear "Solve h_TX(T,X) for T with given h"
extends Modelica.Math.Nonlinear.Interfaces.partialScalarFunction;
input SpecificEnthalpy h "Specific enthalpy";
input MassFraction[nX] X "Mass fractions of composition";
input Boolean exclEnthForm "If true, enthalpy of formation Hf is not included in specific enthalpy h";
input Modelica.Media.Interfaces.Choices.ReferenceEnthalpy refChoice "Choice of reference enthalpy";
input SpecificEnthalpy h_off "User defined offset for reference enthalpy, if referenceChoice = UserDefined";
algorithm
y := h_TX(T=u, X=X, exclEnthForm=exclEnthForm, refChoice=refChoice, h_off=h_off) - h;
end f_nonlinear;
algorithm
T := Modelica.Math.Nonlinear.solveOneNonlinearEquation(
function f_nonlinear(h=h, X=X, exclEnthForm=exclEnthForm, refChoice=refChoice, h_off=h_off), 200, 6000);
end T_hX;
function T_psX
"Return temperature from pressure, specific entropy and mass fraction"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
input MassFraction[nX] X "Mass fractions of composition";
output Temperature T "Temperature";
protected
function f_nonlinear "Solve specificEntropyOfpTX(p,T,X) for T with given s"
extends Modelica.Math.Nonlinear.Interfaces.partialScalarFunction;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
input MassFraction[nX] X "Mass fractions of composition";
algorithm
y := specificEntropyOfpTX(p=p, T=u, X=X) - s;
end f_nonlinear;
algorithm
T := Modelica.Math.Nonlinear.solveOneNonlinearEquation(
function f_nonlinear(p=p, s=s, X=X), 200, 6000);
end T_psX;
protected
function specificEntropyOfpTX
"Return specific entropy from pressure, temperature and mass fractions"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
input MassFraction[nX] X "Mass fractions of composition";
output SpecificEntropy s "Specific entropy";
protected
Real[nX] Y(each unit="mol/mol") = massToMoleFractions(X, data.MM) "Molar fractions";
algorithm
s := s_TX(T, X) - sum(X[i]*Modelica.Constants.R/MMX[i]*
(if X[i] < Modelica.Constants.eps then Y[i] else
Modelica.Math.log(Y[i]*p/reference_p)) for i in 1:nX);
end specificEntropyOfpTX;
end MixtureGasNasa;
end Common; |
Ideal gas data based on the NASA Glenn coefficients | within Modelica.Media.IdealGases.Common;
package SingleGasesData "Ideal gas data based on the NASA Glenn coefficients"
extends Modelica.Icons.Package;
final constant Real R_NASA_2002(final unit="J/(mol.K)")=8.314510
"Universal gas constant as used by McBride B.J., Zehe M.J., and Gordon S. (2002)";
constant IdealGases.Common.DataRecord Ag(
name="Ag",
MM=0.1078682,
Hf=2641186.188329832,
H0=57453.70739476509,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={33520.0237,6.56281935},
ahigh={-330992.637,982.0086420000001,1.381179917,0.0006170899989999999,-1.6881146e-007,
2.008826848e-011,-5.627285655e-016},
bhigh={27267.19171,14.56862733},
R_s=R_NASA_2002/Ag.MM);
constant IdealGases.Common.DataRecord Agplus(
name="Agplus",
MM=0.1078676514,
Hf=9475442.514362559,
H0=57454.94519963192,
Tlimit=1000,
alow={3691132.75,-43169.82999999999,202.8445385,-0.465841374,0.000558620051,
-3.154880975e-007,6.578702060000001e-011},
blow={337157.447,-1142.924427},
ahigh={-53274323.49999999,131071.0631,-109.8820208,0.0482600276,-1.093661557e-005,
1.26383591e-009,-5.852542535e-014},
bhigh={-743912.2509999999,844.6266189999999},
R_s=R_NASA_2002/Agplus.MM);
constant IdealGases.Common.DataRecord Agminus(
name="Agminus",
MM=0.1078687486,
Hf=1419120.273357839,
H0=57453.41519610434,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={17665.65919,5.8696798},
ahigh={0,0,2.5,0,0,0,0},
bhigh={17665.65919,5.8696798},
R_s=R_NASA_2002/Agminus.MM);
constant IdealGases.Common.DataRecord Air(
name="Air",
MM=0.0289651159,
Hf=-4333.833858403446,
H0=298609.6803431054,
Tlimit=1000,
alow={10099.5016,-196.827561,5.00915511,-0.00576101373,1.06685993e-005,-7.94029797e-009,
2.18523191e-012},
blow={-176.796731,-3.921504225},
ahigh={241521.443,-1257.8746,5.14455867,-0.000213854179,7.06522784e-008,-1.07148349e-011,
6.57780015e-016},
bhigh={6462.26319,-8.147411905},
R_s=R_NASA_2002/Air.MM);
constant IdealGases.Common.DataRecord AL(
name="AL",
MM=0.026981538,
Hf=12230585.22460803,
H0=256422.4100197698,
Tlimit=1000,
alow={5006.60889,18.61304407,2.412531111,0.0001987604647,-2.432362152e-007,
1.538281506e-010,-3.944375734e-014},
blow={38874.1268,6.086585765},
ahigh={-29208.20938,116.7751876,2.356906505,7.73723152e-005,-1.529455262e-008,
-9.97167026e-013,5.053278264e-016},
bhigh={38232.8865,6.600920155},
R_s=R_NASA_2002/AL.MM);
constant IdealGases.Common.DataRecord ALplus(
name="ALplus",
MM=0.0269809894,
Hf=33839201.16732265,
H0=229696.0985426279,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={109064.4788,3.79100578},
ahigh={-4181.18325,-9.94855727,2.548615878,-5.878760040000001e-005,
3.132291294e-008,-7.74889463e-012,7.27444769e-016},
bhigh={109101.1485,3.48866729},
R_s=R_NASA_2002/ALplus.MM);
constant IdealGases.Common.DataRecord ALminus(
name="ALminus",
MM=0.0269820866,
Hf=10417656.61666804,
H0=250396.2388142361,
Tlimit=1000,
alow={29108.01723,-383.698375,4.6551428,-0.00604582184,8.57725964e-006,-5.47626e-009,
1.322714061e-012},
blow={34906.1698,-5.9570977},
ahigh={633981.432,-2383.438463,5.46997113,-0.001299840355,2.88830547e-007,-3.25324051e-011,
1.472436088e-015},
bhigh={47803.0654,-15.36906816},
R_s=R_NASA_2002/ALminus.MM);
constant IdealGases.Common.DataRecord ALBr(
name="ALBr",
MM=0.106885538,
Hf=134022.0133429089,
H0=89545.4631102666,
Tlimit=1000,
alow={8176.158640000001,-251.6942718,5.40329633,-0.00174721292,
2.07730477e-006,-1.261267579e-009,3.16633597e-013},
blow={1635.024429,-2.323594886},
ahigh={-610339.5599999999,2010.066834,1.769617961,0.001929888914,-6.64104783e-007,
1.172854627e-010,-7.17874276e-015},
bhigh={-12178.12867,22.04450764},
R_s=R_NASA_2002/ALBr.MM);
constant IdealGases.Common.DataRecord ALBr2(
name="ALBr2",
MM=0.186789538,
Hf=-753051.4101919348,
H0=71727.1167510463,
Tlimit=1000,
alow={31993.7587,-711.917897,9.478258110000001,-0.00487553167,
5.51651299e-006,-3.34005304e-009,8.36847684e-013},
blow={-15405.91306,-17.42171366},
ahigh={-352378.29,467.154417,7.11190819,-0.00055517092,3.16630113e-007,-5.52102833e-011,
3.17672595e-015},
bhigh={-22650.04078,-2.69561036},
R_s=R_NASA_2002/ALBr2.MM);
constant IdealGases.Common.DataRecord ALBr3(
name="ALBr3",
MM=0.266693538,
Hf=-1539132.395476339,
H0=67280.73028901059,
Tlimit=1000,
alow={47189.4884,-1053.853163,13.50747168,-0.006639869929999999,
7.26927683e-006,-4.27804949e-009,1.045573281e-012},
blow={-46994.4033,-36.67936779999999},
ahigh={-89355.2744,-26.78035134,10.02063997,-8.458764399999999e-006,
1.904243317e-009,-2.215195785e-013,1.038219389e-017},
bhigh={-52492.4764,-15.79666403},
R_s=R_NASA_2002/ALBr3.MM);
constant IdealGases.Common.DataRecord ALC(
name="ALC",
MM=0.038992238,
Hf=17497931.48574852,
H0=232305.4398672885,
Tlimit=1000,
alow={41399.2188,-585.867789,5.96244572,-0.002006064322,1.665566136e-006,-7.12164921e-010,
1.271188744e-013},
blow={83834.3611,-8.00216505},
ahigh={1937001.487,-6749.117789999999,13.47525643,-0.00585080265,
1.926461091e-006,-2.585922351e-010,1.222659806e-014},
bhigh={122536.3649,-61.52244872},
R_s=R_NASA_2002/ALC.MM);
constant IdealGases.Common.DataRecord ALC2(
name="ALC2",
MM=0.051002938,
Hf=13246605.04851701,
H0=240432.7374238716,
Tlimit=1000,
alow={15240.87465,-264.9987059,6.2804149,-0.0001786037647,3.79190774e-006,-3.99945007e-009,
1.299752388e-012},
blow={80927.63279999999,-6.247291862},
ahigh={146601.7895,-1362.764489,8.457759149999999,-0.000367890168,
7.9031745e-008,-8.880023720000001e-012,4.05363395e-016},
bhigh={87059.24230000001,-21.27956728},
R_s=R_NASA_2002/ALC2.MM);
constant IdealGases.Common.DataRecord ALCL(
name="ALCL",
MM=0.06243453800000001,
Hf=-816974.7808496637,
H0=149326.1950620985,
Tlimit=1000,
alow={23808.81392,-445.715942,5.99285399,-0.002777300261,3.101582418e-006,-1.815268376e-009,
4.414662339999999e-013},
blow={-5202.73603,-7.383298016},
ahigh={-899346.1220000001,2765.942061,1.003500696,0.002267806833,-7.2805416e-007,
1.182380673e-010,-6.66049813e-015},
bhigh={-24961.64448,26.1692548},
R_s=R_NASA_2002/ALCL.MM);
constant IdealGases.Common.DataRecord ALCLplus(
name="ALCLplus",
MM=0.0624339894,
Hf=13804168.45507553,
H0=146625.821735492,
Tlimit=1000,
alow={34699.5522,-547.990003,6.10601113,-0.002674711519,2.696426573e-006,-1.463885068e-009,
3.35872906e-013},
blow={105171.951,-7.816586372},
ahigh={-754724.0819999999,1251.545253,4.44242491,-0.0009786116429999999,
6.347511329999999e-007,-1.158320344e-010,6.870022460000001e-015},
bhigh={93183.32699999999,4.047521108},
R_s=R_NASA_2002/ALCLplus.MM);
constant IdealGases.Common.DataRecord ALCL2(
name="ALCL2",
MM=0.09788753800000001,
Hf=-2460724.387613059,
H0=131241.0063883719,
Tlimit=1000,
alow={53405.4595,-967.805798,10.06252671,-0.00553952845,5.82342056e-006,-3.30654245e-009,
7.8315621e-013},
blow={-26076.2711,-23.93364216},
ahigh={430345.306,-1552.370585,8.760657419999999,-0.0009467450059999999,
2.40184488e-007,-2.427836709e-011,8.390123470000001e-016},
bhigh={-21458.84709,-18.03641668},
R_s=R_NASA_2002/ALCL2.MM);
constant IdealGases.Common.DataRecord ALCL3(
name="ALCL3",
MM=0.133340538,
Hf=-4384854.5368851,
H0=122999.3762287055,
Tlimit=1000,
alow={77506.0097,-1440.779717,14.01744141,-0.00638163124,5.87167472e-006,-2.908872278e-009,
5.994050889999999e-013},
blow={-65793.43180000001,-44.94017799},
ahigh={-137863.0916,-55.7920729,10.04190387,-1.682165339e-005,
3.72466466e-009,-4.27552678e-013,1.982341329e-017},
bhigh={-73434.0747,-20.45130429},
R_s=R_NASA_2002/ALCL3.MM);
constant IdealGases.Common.DataRecord ALF(
name="ALF",
MM=0.0459799412,
Hf=-5742948.753488184,
H0=193391.0041624847,
Tlimit=1000,
alow={30207.71686,-308.0986949,3.88641314,0.00356434369,-5.85847128e-006,
4.38810992e-009,-1.256906273e-012},
blow={-31175.72862,2.032567172},
ahigh={-711122.905,1903.013316,2.191607179,0.001421471467,-4.17963477e-007,
6.1538044e-011,-2.945403999e-015},
bhigh={-45407.2896,16.13163743},
R_s=R_NASA_2002/ALF.MM);
constant IdealGases.Common.DataRecord ALFplus(
name="ALFplus",
MM=0.0459793926,
Hf=15055300.25205248,
H0=191666.0160491116,
Tlimit=1000,
alow={36430.3812,-252.4634478,3.105310486,0.00573327043,-8.839786990000001e-006,
6.34357959e-009,-1.645011685e-012},
blow={83702.37449999999,6.76401558},
ahigh={1505101.126,-2236.668821,3.098216724,0.00311541393,-1.168427068e-006,
1.773587168e-010,-9.665841379999999e-015},
bhigh={98850.8385,5.99189459},
R_s=R_NASA_2002/ALFplus.MM);
constant IdealGases.Common.DataRecord ALFCL(
name="ALFCL",
MM=0.0814329412,
Hf=-5359132.392481975,
H0=148996.1534141419,
Tlimit=1000,
alow={41047.7948,-576.964642,6.5626427,0.00410628584,-7.21392112e-006,
5.48640145e-009,-1.580656193e-012},
blow={-51148.287,-6.041227053},
ahigh={69706.36350000001,-622.4485910000001,7.57347541,-0.0002236155999,
2.382317949e-008,4.44378576e-012,-5.486977849999999e-016},
bhigh={-51009.43199999999,-10.91164505},
R_s=R_NASA_2002/ALFCL.MM);
constant IdealGases.Common.DataRecord ALFCL2(
name="ALFCL2",
MM=0.1168859412,
Hf=-6770663.741722942,
H0=134646.3042383407,
Tlimit=1000,
alow={69556.07340000001,-1188.857902,11.5667259,0.000457495949,-3.40737283e-006,
3.35682254e-009,-1.085329228e-012},
blow={-91620.4926,-32.06065081},
ahigh={-172036.0526,-119.3340759,10.08894431,-3.55099381e-005,
7.83095261e-009,-8.961734229999999e-013,4.14533026e-017},
bhigh={-98041.8547,-21.27046859},
R_s=R_NASA_2002/ALFCL2.MM);
constant IdealGases.Common.DataRecord ALF2(
name="ALF2",
MM=0.0649783444,
Hf=-9722688.08683282,
H0=178535.3583123919,
Tlimit=1000,
alow={29949.51991,-219.4199915,3.41674876,0.01272953936,-1.883312206e-005,
1.330702256e-008,-3.68011863e-012},
blow={-76075.3765,8.759626916},
ahigh={-214689.6245,30.9684015,6.81639962,0.0001820129379,-7.79367744e-008,
1.472534201e-011,-8.803695299999999e-016},
bhigh={-78840.02680000001,-7.915370474},
R_s=R_NASA_2002/ALF2.MM);
constant IdealGases.Common.DataRecord ALF2minus(
name="ALF2minus",
MM=0.064978893,
Hf=-13130889.82602397,
H0=174392.244570864,
Tlimit=1000,
alow={123336.9037,-1348.195504,8.61117805,0.0002245141297,-2.424673201e-006,
2.21413243e-009,-6.60271396e-013},
blow={-97084.37460000001,-21.92617549},
ahigh={-159007.6965,-206.0486516,7.15528938,-6.260167690000001e-005,
1.391935746e-008,-1.603901265e-012,7.461508519999999e-017},
bhigh={-104047.9429,-11.22696648},
R_s=R_NASA_2002/ALF2minus.MM);
constant IdealGases.Common.DataRecord ALF2CL(
name="ALF2CL",
MM=0.1004313444,
Hf=-9948369.714345874,
H0=147638.3402869194,
Tlimit=1000,
alow={56774.12089999999,-886.9829470000001,8.75274655,0.0081957912,-1.380480934e-005,
1.032703706e-008,-2.948968416e-012},
blow={-117793.6778,-18.5834736},
ahigh={-211542.2988,-195.9188681,10.1457685,-5.81321935e-005,
1.281071982e-008,-1.465366277e-012,6.77600245e-017},
bhigh={-122715.311,-23.59853398},
R_s=R_NASA_2002/ALF2CL.MM);
constant IdealGases.Common.DataRecord ALF3(
name="ALF3",
MM=0.0839767476,
Hf=-14400140.18832994,
H0=167233.459277244,
Tlimit=1000,
alow={44102.6352,-566.7495739999999,5.83307285,0.01603535069,-2.413263602e-005,
1.71410616e-008,-4.7475432e-012},
blow={-144334.9991,-5.461613658},
ahigh={-249397.216,-291.1202519,10.21662932,-8.64298597e-005,
1.905713108e-008,-2.181058411e-012,1.009055287e-016},
bhigh={-147569.4276,-27.03983244},
R_s=R_NASA_2002/ALF3.MM);
constant IdealGases.Common.DataRecord ALF4minus(
name="ALF4minus",
MM=0.1029756994,
Hf=-18952051.96343634,
H0=163017.4409866645,
Tlimit=1000,
alow={231201.0037,-3235.37678,20.17865547,-0.0091081935,6.67955263e-006,-2.606075106e-009,
4.11006051e-013},
blow={-221178.4563,-86.77268282},
ahigh={-321741.161,-261.2097043,13.19792654,-8.01013541e-005,
1.786204421e-008,-2.062751964e-012,9.61258177e-017},
bhigh={-238157.7915,-42.31634321999999},
R_s=R_NASA_2002/ALF4minus.MM);
constant IdealGases.Common.DataRecord ALH(
name="ALH",
MM=0.027989478,
Hf=8905160.860806337,
H0=309691.5205063846,
Tlimit=1000,
alow={-37591.1403,508.900223,1.128086896,0.003988660910000001,-2.150790303e-007,
-2.176790819e-009,1.020805902e-012},
blow={26444.31827,16.50021856},
ahigh={6802018.430000001,-21784.16933,30.32713047,-0.01503343597,
4.49214236e-006,-6.17845037e-010,3.11520526e-014},
bhigh={165830.1221,-187.6766425},
R_s=R_NASA_2002/ALH.MM);
constant IdealGases.Common.DataRecord ALHCL(
name="ALHCL",
MM=0.063442478,
Hf=165850.4890051741,
H0=171597.5217739761,
Tlimit=1000,
alow={35871.6976,-591.624999,6.94454238,-0.002511543148,6.47133255e-006,-5.64227714e-009,
1.715950436e-012},
blow={2750.930479,-9.903745880000001},
ahigh={-168391.533,-886.230179,8.062379399999999,-0.0009200551470000001,
3.94981722e-007,-6.40108676e-011,3.5783541e-015},
bhigh={3641.50485,-18.00686894},
R_s=R_NASA_2002/ALHCL.MM);
constant IdealGases.Common.DataRecord ALHCL2(
name="ALHCL2",
MM=0.098895478,
Hf=-3552022.520180347,
H0=138289.3968114498,
Tlimit=1000,
alow={118482.8615,-2054.157118,15.74696513,-0.01476257296,2.065336978e-005,
-1.42019885e-008,3.82627986e-012},
blow={-34342.7746,-57.61184061},
ahigh={96080.63939999999,-1485.540161,11.03592709,-0.00039569552,
8.46584373e-008,-9.48333652e-012,4.31903353e-016},
bhigh={-36692.1639,-32.36862171},
R_s=R_NASA_2002/ALHCL2.MM);
constant IdealGases.Common.DataRecord ALHF(
name="ALHF",
MM=0.0469878812,
Hf=-3886416.653322091,
H0=224996.7593771817,
Tlimit=1000,
alow={-9289.545099999999,133.5515868,2.77244868,0.00675141503,-4.13384614e-006,
5.86570407e-010,2.276158011e-013},
blow={-23846.85845,12.28752581},
ahigh={734216.9250000001,-3462.16413,10.39714588,-0.001750737965,
4.615687860000001e-007,-5.39041474e-011,2.340478515e-015},
bhigh={-2965.279722,-37.13172313},
R_s=R_NASA_2002/ALHF.MM);
constant IdealGases.Common.DataRecord ALHFCL(
name="ALHFCL",
MM=0.08244088120000001,
Hf=-6735062.943504781,
H0=152019.6754034696,
Tlimit=1000,
alow={129037.3237,-2142.099873,14.8543442,-0.0114032693,1.564521768e-005,-1.067574855e-008,
2.857255247e-012},
blow={-58183.0307,-54.83424986},
ahigh={40689.8713,-1502.129854,11.05214126,-0.000403158773,8.64525222e-008,
-9.70065952e-012,4.423629509999999e-016},
bhigh={-61298.8811,-34.03564016},
R_s=R_NASA_2002/ALHFCL.MM);
constant IdealGases.Common.DataRecord ALHF2(
name="ALHF2",
MM=0.0659862844,
Hf=-11597852.32580848,
H0=186401.9941695641,
Tlimit=1000,
alow={105018.1431,-1398.654202,9.166334839999999,0.00386728687,-4.83084109e-006,
3.099287181e-009,-8.440702990000001e-013},
blow={-86590.48800000001,-25.57299683},
ahigh={-4419.9473,-1612.826324,11.13336052,-0.000435181266,9.34439616e-008,
-1.049431425e-011,4.78833398e-016},
bhigh={-86069.16189999999,-36.76383785},
R_s=R_NASA_2002/ALHF2.MM);
constant IdealGases.Common.DataRecord ALH2(
name="ALH2",
MM=0.028997418,
Hf=9544813.058873035,
H0=347990.7762822194,
Tlimit=1000,
alow={14551.82996,-215.3768996,5.14437023,-0.00396522203,1.340900203e-005,-1.216744854e-008,
3.74310713e-012},
blow={33110.3794,-3.608799711},
ahigh={143291.0601,-2365.907684,9.085667190000001,-0.001308536612,
4.77719136e-007,-7.32472189e-011,3.99790094e-015},
bhigh={44859.5185,-32.20814285},
R_s=R_NASA_2002/ALH2.MM);
constant IdealGases.Common.DataRecord ALH2CL(
name="ALH2CL",
MM=0.064450418,
Hf=-1650034.387674569,
H0=174603.2275539315,
Tlimit=1000,
alow={93038.2898,-1328.188016,9.42476359,-0.00327766059,1.004231609e-005,-8.94812309e-009,
2.708031665e-012},
blow={-7647.43793,-26.82512215},
ahigh={316692.993,-3094.037914,12.1587202,-0.0008248269589999999,
1.765027123e-007,-1.977372723e-011,9.00617628e-016},
bhigh={2411.845642,-47.18390855},
R_s=R_NASA_2002/ALH2CL.MM);
constant IdealGases.Common.DataRecord ALH2F(
name="ALH2F",
MM=0.0479958212,
Hf=-6597571.331897535,
H0=224286.2134839355,
Tlimit=1000,
alow={89060.39290000001,-975.080393,5.87077232,0.00689666369,-4.04581728e-006,
7.21931866e-010,7.329846739999999e-014},
blow={-34253.02600000001,-9.387539141},
ahigh={271151.4962,-3169.62348,12.21401118,-0.000846560026,1.812341995e-007,
-2.030947985e-011,9.251825820000001e-016},
bhigh={-22592.17746,-49.41337333},
R_s=R_NASA_2002/ALH2F.MM);
constant IdealGases.Common.DataRecord ALH3(
name="ALH3",
MM=0.030005358,
Hf=4295768.77569666,
H0=346957.3667476322,
Tlimit=1000,
alow={14812.07909,-28.3649534,2.507597126,0.00731592051,2.331766687e-006,-6.38920989e-009,
2.456885069e-012},
blow={14631.89428,8.3131877},
ahigh={588545.855,-4595.78566,13.20893344,-0.001226849004,2.626580824e-007,
-2.943725869e-011,1.341177648e-015},
bhigh={39917.1695,-61.81829295},
R_s=R_NASA_2002/ALH3.MM);
constant IdealGases.Common.DataRecord ALI(
name="ALI",
MM=0.153886008,
Hf=437954.1575995656,
H0=63365.84545100423,
Tlimit=1000,
alow={1870.854131,-154.3184003,5.07439188,-0.00112058483,1.386302156e-006,-8.54078228e-010,
2.180358492e-013},
blow={7517.44369,0.6688267621999999},
ahigh={475281.792,-1198.028588,5.43368536,-0.0001004479306,-1.005928846e-007,
4.568173190000001e-011,-3.960201360000001e-015},
bhigh={14646.27816,-3.141199746},
R_s=R_NASA_2002/ALI.MM);
constant IdealGases.Common.DataRecord ALI2(
name="ALI2",
MM=0.280790478,
Hf=-120420.5863419628,
H0=49585.17859711753,
Tlimit=1000,
alow={14234.13595,-464.657569,8.72267491,-0.00356051929,4.18868229e-006,-2.616026962e-009,
6.72019551e-013},
blow={-3846.13333,-10.73076578},
ahigh={-335599.902,474.334794,7.10650139,-0.0005529965340000001,
3.161480314e-007,-5.51548916e-011,3.17415582e-015},
bhigh={-9785.48885,-0.5602275943999999},
R_s=R_NASA_2002/ALI2.MM);
constant IdealGases.Common.DataRecord ALI3(
name="ALI3",
MM=0.407694948,
Hf=-469298.0227952199,
H0=46612.22095889204,
Tlimit=1000,
alow={27060.32439,-755.993681,12.71396349,-0.00546688409,6.29761892e-006,-3.86420961e-009,
9.77413244e-013},
blow={-22209.66921,-28.47883861},
ahigh={-63574.2747,-15.7877228,10.01249733,-5.22867312e-006,1.19617352e-009,
-1.40919449e-013,6.67127639e-018},
bhigh={-26114.55525,-12.47999813},
R_s=R_NASA_2002/ALI3.MM);
constant IdealGases.Common.DataRecord ALN(
name="ALN",
MM=0.040988238,
Hf=10706217.98868251,
H0=226043.1638949691,
Tlimit=1000,
alow={27166.45079,-254.349111,3.53898772,0.00529625616,-9.845700609999999e-006,
8.45220904e-009,-2.592304568e-012},
blow={53099.94910000001,5.39943522},
ahigh={3821214.22,-10677.76595,14.49174222,-0.00372722713,
7.922770960000001e-007,-8.086892210000001e-011,2.893539736e-015},
bhigh={120523.634,-72.88585119000001},
R_s=R_NASA_2002/ALN.MM);
constant IdealGases.Common.DataRecord ALO(
name="ALO",
MM=0.042980938,
Hf=1566252.602490899,
H0=204465.1980373253,
Tlimit=1000,
alow={-7683.3911,295.7969549,0.480810844,0.01169224855,-1.595428871e-005,
1.060766814e-008,-2.647888708e-012},
blow={5843.67217,21.60997839},
ahigh={15657.21161,3855.74101,-5.92607978,0.009050960419999999,-2.930661549e-006,
4.238529070000001e-010,-2.280655341e-014},
bhigh={-13316.94655,68.30663436},
R_s=R_NASA_2002/ALO.MM);
constant IdealGases.Common.DataRecord ALOplus(
name="ALOplus",
MM=0.0429803894,
Hf=23103397.01110293,
H0=211485.1942220886,
Tlimit=1000,
alow={28291.78513,-417.90871,5.31329987,-0.001410883046,2.526524021e-006,-2.005474816e-009,
5.76255355e-013},
blow={120364.8109,-3.41056593},
ahigh={27108.46446,-699.8653420000001,5.78781584,-0.000687189546,
2.075047303e-007,-2.655281004e-011,1.28312966e-015},
bhigh={121868.2226,-7.05103588},
R_s=R_NASA_2002/ALOplus.MM);
constant IdealGases.Common.DataRecord ALOminus(
name="ALOminus",
MM=0.04298148659999999,
Hf=-6349752.034867962,
H0=203453.1304461675,
Tlimit=1000,
alow={20780.75267,2.859351226,1.90191237,0.00730104566,-9.13976987e-006,
5.65298319e-009,-1.396787103e-012},
blow={-33592.6773,12.96339858},
ahigh={-69719.4829,-232.0553036,4.67278433,-4.26644704e-005,
1.632506336e-008,-1.727134051e-012,8.136840640000001e-017},
bhigh={-33077.1893,-2.155922595},
R_s=R_NASA_2002/ALOminus.MM);
constant IdealGases.Common.DataRecord ALOCL(
name="ALOCL",
MM=0.078433938,
Hf=-3844822.505278264,
H0=151797.0065458144,
Tlimit=1000,
alow={-5144.627790000001,-58.86297070000001,4.45231693,0.009288235090000001,
-1.246894823e-005,8.17807354e-009,-2.130739934e-012},
blow={-37596.8365,2.476862818},
ahigh={-125802.7706,-242.0565961,7.68113002,-7.268741699999999e-005,
1.611337534e-008,1.852889749e-012,8.60727822e-017},
bhigh={-37543.2605,-14.7581832},
R_s=R_NASA_2002/ALOCL.MM);
constant IdealGases.Common.DataRecord ALOCL2(
name="ALOCL2",
MM=0.113886938,
Hf=-3532526.873274967,
H0=138316.950799046,
Tlimit=1000,
alow={69026.3713,-1189.2975,11.61842739,0.0002818279805,-3.145010615e-006,
3.16838065e-009,-1.032375462e-012},
blow={-44833.2307,-31.65475132},
ahigh={-170771.3922,-118.0013804,10.08798517,-3.51385804e-005,
7.751187029999999e-009,-8.8724706e-013,4.10481544e-017},
bhigh={-51249.4414,-20.5925296},
R_s=R_NASA_2002/ALOCL2.MM);
constant IdealGases.Common.DataRecord ALOF(
name="ALOF",
MM=0.0619793412,
Hf=-9233554.147555217,
H0=177526.9434454718,
Tlimit=1000,
alow={7030.57836,-115.457543,3.37882359,0.01283929158,-1.749748388e-005,
1.162605473e-008,-3.064218613e-012},
blow={-69593.817,5.994804586},
ahigh={-164102.0297,-327.777029,7.74451974,-9.78864944e-005,
2.165743208e-008,-2.486541919e-012,1.153633944e-016},
bhigh={-69740.85090000001,-17.17253748},
R_s=R_NASA_2002/ALOF.MM);
constant IdealGases.Common.DataRecord ALOF2(
name="ALOF2",
MM=0.08097774440000001,
Hf=-9553856.763142934,
H0=173570.9867463288,
Tlimit=1000,
alow={47560.8529,-612.431836,6.05022366,0.01559291479,-2.366136797e-005,
1.688366194e-008,-4.690583099999999e-012},
blow={-91718.2749,-4.956258224},
ahigh={-249668.1413,-283.7821503,10.21108125,-8.418303430000001e-005,
1.855520828e-008,-2.122974022e-012,9.8193191e-017},
bhigh={-95218.0419,-25.22534812},
R_s=R_NASA_2002/ALOF2.MM);
constant IdealGases.Common.DataRecord ALOF2minus(
name="ALOF2minus",
MM=0.08097829299999999,
Hf=-12006793.21555963,
H0=173836.4749180376,
Tlimit=1000,
alow={154060.5112,-1928.054597,12.55806423,-0.000490403537,-2.341783347e-006,
2.4151386e-009,-7.47180925e-013},
blow={-109143.0174,-42.6582175},
ahigh={-238988.1459,-288.0143725,10.2170024,-8.747061999999999e-005,
1.944846334e-008,-2.241045051e-012,1.042591053e-016},
bhigh={-119057.6566,-26.00779629},
R_s=R_NASA_2002/ALOF2minus.MM);
constant IdealGases.Common.DataRecord ALOH(
name="ALOH",
MM=0.043988878,
Hf=-4382066.098617018,
H0=235330.6442596694,
Tlimit=1000,
alow={58764.9318,-944.942269,7.82059918,0.000585888847,-4.08366681e-006,
4.587229340000001e-009,-1.563936726e-012},
blow={-19932.83011,-20.65043885},
ahigh={788206.811,-2263.671626,7.82395488,0.0001821171456,-8.26372932e-008,
1.265414876e-011,-6.87597253e-016},
bhigh={-10398.08093,-22.09032458},
R_s=R_NASA_2002/ALOH.MM);
constant IdealGases.Common.DataRecord ALOHCL(
name="ALOHCL",
MM=0.07944187800000001,
Hf=-4705147.327962211,
H0=175208.823739036,
Tlimit=1000,
alow={16363.60341,-191.5959416,4.71117047,0.01388068475,-1.999018454e-005,
1.43964735e-008,-4.03333045e-012},
blow={-45680.83719999999,4.644207506},
ahigh={796711.551,-2843.470502,10.9555997,-0.0001099328162,-1.344506283e-008,
4.41589377e-012,-2.973546112e-016},
bhigh={-29698.61461,-32.96113996},
R_s=R_NASA_2002/ALOHCL.MM);
constant IdealGases.Common.DataRecord ALOHCL2(
name="ALOHCL2",
MM=0.114894878,
Hf=-6311381.504752545,
H0=149265.1917868784,
Tlimit=1000,
alow={39719.2986,-775.155496,9.49405153,0.01074401359,-1.676464791e-005,
1.259706368e-008,-3.61317798e-012},
blow={-85847.9693,-19.93481642},
ahigh={738592.976,-2863.204228,13.97062327,-0.0001160311527,-1.208248796e-008,
4.25832763e-012,-2.900049181e-016},
bhigh={-72930.48,-46.81834857},
R_s=R_NASA_2002/ALOHCL2.MM);
constant IdealGases.Common.DataRecord ALOHF(
name="ALOHF",
MM=0.0629872812,
Hf=-9116309.897179686,
H0=211393.1693244763,
Tlimit=1000,
alow={-1556.003336,288.6581999,0.7703793290000001,0.02450406329,-3.41781101e-005,
2.388932902e-008,-6.570480510000001e-012},
blow={-71772.22559999999,24.53071801},
ahigh={755711.3130000001,-2936.702803,11.02455104,-0.000137307803,-7.432816159999999e-009,
3.72998122e-012,-2.657027781e-016},
bhigh={-53401.309,-35.27397302},
R_s=R_NASA_2002/ALOHF.MM);
constant IdealGases.Common.DataRecord ALOHF2(
name="ALOHF2",
MM=0.0819856844,
Hf=-13923293.06456335,
H0=188185.2681100507,
Tlimit=1000,
alow={17382.63538,-130.7687299,3.31238192,0.02784734099,-3.98236321e-005,
2.809344456e-008,-7.7645742e-012},
blow={-138413.3568,10.04739945},
ahigh={653011.992,-3034.017232,14.09719788,-0.0001663681799,-1.011564183e-009,
2.993805003e-012,-2.315956955e-016},
bhigh={-122305.2213,-51.5121069},
R_s=R_NASA_2002/ALOHF2.MM);
constant IdealGases.Common.DataRecord ALO2(
name="ALO2",
MM=0.058980338,
Hf=-655436.5795597849,
H0=226543.7848118131,
Tlimit=1000,
alow={43384.8045,-473.5292259999999,6.00171767,0.007094420880000001,-1.129107996e-005,
8.252691679999999e-009,-2.327652976e-012},
blow={-3826.1458,-4.83002248},
ahigh={118721.6642,-833.56254,8.309301189999999,-0.000353866722,
5.96706946e-008,4.0148977e-014,-3.51570252e-016},
bhigh={-2033.107586,-17.15063884},
R_s=R_NASA_2002/ALO2.MM);
constant IdealGases.Common.DataRecord ALO2minus(
name="ALO2minus",
MM=0.0589808866,
Hf=-7673201.423187831,
H0=180476.720741597,
Tlimit=1000,
alow={117867.8641,-1507.186304,9.52474975,-0.000520798902,-1.586902345e-006,
1.700455028e-009,-5.30141977e-013},
blow={-48254.6927,-30.81215859},
ahigh={-187241.0758,-233.8853263,7.67607002,-7.093570299999999e-005,
1.576717569e-008,-1.816494162e-012,8.449707959999999e-017},
bhigh={-55946.40560000001,-17.73751567},
R_s=R_NASA_2002/ALO2minus.MM);
constant IdealGases.Common.DataRecord AL_OH_2(
name="AL_OH_2",
MM=0.060996218,
Hf=-8322822.080542764,
H0=229973.8485425441,
Tlimit=1000,
alow={4397.31691,132.7680339,1.093947024,0.03054059173,-4.37594335e-005,
3.17461743e-008,-9.004259400000001e-012},
blow={-63154.3739,21.01977655},
ahigh={1669643.735,-5924.73828,15.49480264,-0.000538348808,
5.413044529999999e-008,-1.196022328e-012,-1.082001733e-016},
bhigh={-26975.25061,-66.17911543},
R_s=R_NASA_2002/AL_OH_2.MM);
constant IdealGases.Common.DataRecord AL_OH_2CL(
name="AL_OH_2CL",
MM=0.096449218,
Hf=-8906829.332716828,
H0=178560.6701342047,
Tlimit=1000,
alow={24778.79709,-445.457721,5.9284702,0.02730162734,-4.04140537e-005,
2.97421041e-008,-8.477150599999999e-012},
blow={-103377.803,-3.679940779},
ahigh={1603911.487,-5767.23224,18.17772266,-0.000369181615,1.137918702e-008,
4.0830794e-012,-3.64132343e-016},
bhigh={-71186.9985,-77.57541774000001},
R_s=R_NASA_2002/AL_OH_2CL.MM);
constant IdealGases.Common.DataRecord AL_OH_2F(
name="AL_OH_2F",
MM=0.07999462119999999,
Hf=-13371257.86652266,
H0=205914.4821602081,
Tlimit=1000,
alow={21328.12662,-193.2900224,3.069174664,0.0355501733,-5.18115833e-005,
3.75352028e-008,-1.059220701e-011},
blow={-129579.7992,10.01897011},
ahigh={1559238.236,-5841.27303,18.23229919,-0.000390780542,1.610928938e-008,
3.54478406e-012,-3.39345388e-016},
bhigh={-96231.0089,-79.71351802},
R_s=R_NASA_2002/AL_OH_2F.MM);
constant IdealGases.Common.DataRecord AL_OH_3(
name="AL_OH_3",
MM=0.078003558,
Hf=-12982325.01137961,
H0=225563.6467249353,
Tlimit=1000,
alow={-14024.75452,369.607346,-0.297960065,0.0492985935,-6.98157228e-005,
5.0148017e-008,-1.412480165e-011},
blow={-125526.076,27.11490074},
ahigh={2477063.616,-8968.617249999999,22.80320998,-0.0008320292249999999,
8.66349443e-008,-2.420287082e-012,-1.331746442e-016},
bhigh={-70152.7864,-112.1899198},
R_s=R_NASA_2002/AL_OH_3.MM);
constant IdealGases.Common.DataRecord ALS(
name="ALS",
MM=0.059046538,
Hf=3940654.556241722,
H0=153914.3412607866,
Tlimit=1000,
alow={26117.42801,-347.067389,4.43620459,0.00334016821,-8.41019967e-006,
8.50818511e-009,-2.780868507e-012},
blow={28637.79062,0.7522705491},
ahigh={8909844.290000001,-25076.77454,28.93456134,-0.00983976682,
2.045319809e-006,-2.08797089e-010,8.152792520000001e-015},
bhigh={188576.1615,-178.6036457},
R_s=R_NASA_2002/ALS.MM);
constant IdealGases.Common.DataRecord ALS2(
name="ALS2",
MM=0.09111153799999999,
Hf=2727813.452122826,
H0=158363.90556814,
Tlimit=1000,
alow={42523.3541,-776.46033,9.80106896,-0.00391068009,3.87569597e-006,-2.082025593e-009,
4.68293589e-013},
blow={31679.6154,-21.78097896},
ahigh={-68525.6354,-26.71667739,7.52019386,-8.148565100000001e-006,
1.811865152e-009,-2.086958125e-013,9.703246379999999e-018},
bhigh={27583.62737,-7.873490263},
R_s=R_NASA_2002/ALS2.MM);
constant IdealGases.Common.DataRecord AL2(
name="AL2",
MM=0.053963076,
Hf=9289717.324490547,
H0=187889.9935207548,
Tlimit=1000,
alow={-5281.50965,-17.27374523,4.60407701,-0.000261646777,6.30231997e-007,-3.29093859e-010,
8.888365139999999e-014},
blow={59007.0639,3.060188921},
ahigh={-2320724.102,9218.70789,-9.44695187,0.00999992001,-3.154798085e-006,
4.36154481e-010,-2.24115724e-014},
bhigh={2904.589544,99.60320745000001},
R_s=R_NASA_2002/AL2.MM);
constant IdealGases.Common.DataRecord AL2Br6(
name="AL2Br6",
MM=0.533387076,
Hf=-1766864.728083513,
H0=71650.00938267952,
Tlimit=1000,
alow={64833.197,-1947.687811,28.86989822,-0.01365825785,1.557883731e-005,-9.486942000000001e-009,
2.385519396e-012},
blow={-110152.6833,-102.5934782},
ahigh={-173182.949,-43.42299780000001,22.0341421,-1.421187503e-005,
3.23863134e-009,-3.80387976e-013,1.796525455e-017},
bhigh={-120233.8355,-62.0105495},
R_s=R_NASA_2002/AL2Br6.MM);
constant IdealGases.Common.DataRecord AL2C2(
name="AL2C2",
MM=0.077984476,
Hf=6988288.284452922,
H0=207284.8575657545,
Tlimit=1000,
alow={11109.87147,-350.243423,8.598856,0.001832528671,1.035743392e-006,-2.09164989e-009,
7.716068700000001e-013},
blow={64927.6419,-16.45080239},
ahigh={159765.1967,-1644.007203,11.64643675,-0.000437921543,9.36964011e-008,
-1.049615854e-011,4.78046893e-016},
bhigh={72048.89810000001,-36.48164252},
R_s=R_NASA_2002/AL2C2.MM);
constant IdealGases.Common.DataRecord AL2CL6(
name="AL2CL6",
MM=0.266681076,
Hf=-4863023.134044952,
H0=128044.6686063318,
Tlimit=1000,
alow={134093.5279,-3001.037953,31.43000879,-0.01700408496,1.786540089e-005,
-1.015419943e-008,2.409630451e-012},
blow={-147183.0046,-127.4445324},
ahigh={-275297.5554,-92.48235969999999,22.07058224,-2.870537915e-005,
6.42332569e-009,-7.4365852e-013,3.47206467e-017},
bhigh={-162915.7014,-70.91602129},
R_s=R_NASA_2002/AL2CL6.MM);
constant IdealGases.Common.DataRecord AL2F6(
name="AL2F6",
MM=0.1679534952,
Hf=-15673929.42829332,
H0=155186.3447019232,
Tlimit=1000,
alow={191506.1289,-3168.24025,22.45374802,0.01271532036,-2.488697302e-005,
1.955252096e-008,-5.71208489e-012},
blow={-304996.255,-93.96473100999999},
ahigh={-585298.2609999999,-545.0571990000001,22.4068632,-0.0001627323704,
3.59522504e-008,-4.12120144e-012,1.909095384e-016},
bhigh={-321968.391,-85.89867941},
R_s=R_NASA_2002/AL2F6.MM);
constant IdealGases.Common.DataRecord AL2I6(
name="AL2I6",
MM=0.815389896,
Hf=-598176.4520172568,
H0=50185.76536297918,
Tlimit=1000,
alow={25875.71514,-1280.719742,26.7771582,-0.009913018470000002,
1.168760413e-005,-7.30391853e-009,1.874532749e-012},
blow={-58911.0555,-83.30209321},
ahigh={-121011.2399,-24.67542774,22.0199265,-8.46202259e-006,
1.957831901e-009,-2.326573151e-013,1.108910373e-017},
bhigh={-65485.2375,-55.28536481},
R_s=R_NASA_2002/AL2I6.MM);
constant IdealGases.Common.DataRecord AL2O(
name="AL2O",
MM=0.069962476,
Hf=-2124157.040982941,
H0=182619.5230711961,
Tlimit=1000,
alow={7776.5307,-129.4235361,4.91250952,0.008604223449999999,-1.217703648e-005,
8.31463487e-009,-2.237722201e-012},
blow={-18865.12879,-0.02806368311},
ahigh={-117107.4351,-178.3009166,7.63321536,-5.33593177e-005,
1.180702791e-008,-1.355444579e-012,6.28732389e-017},
bhigh={-19475.80149,-14.15764167},
R_s=R_NASA_2002/AL2O.MM);
constant IdealGases.Common.DataRecord AL2Oplus(
name="AL2Oplus",
MM=0.0699619274,
Hf=9276048.732756898,
H0=185545.8887772151,
Tlimit=1000,
alow={68289.25719999999,-909.850417,8.89656301,-0.000777255438,-4.034655619999999e-007,
6.97731505e-010,-2.417262484e-013},
blow={80850.07550000001,-21.76216731},
ahigh={-110222.5105,-121.4571732,7.59159595,-3.69453916e-005,
8.21852032e-009,-9.473649719999999e-013,4.40862135e-017},
bhigh={76149.43580000001,-12.82233856},
R_s=R_NASA_2002/AL2Oplus.MM);
constant IdealGases.Common.DataRecord AL2O2(
name="AL2O2",
MM=0.08596187600000001,
Hf=-4689236.737923215,
H0=184298.1300221973,
Tlimit=1000,
alow={-19405.60042,250.8489836,3.62140379,0.01951385302,-2.560329071e-005,
1.662721576e-008,-4.3123962e-012},
blow={-51726.9728,9.923995945},
ahigh={-194061.1656,-460.975243,10.84375637,-0.0001376042893,
3.044733119e-008,-3.49619392e-012,1.622305079e-016},
bhigh={-49630.5578,-29.4653809},
R_s=R_NASA_2002/AL2O2.MM);
constant IdealGases.Common.DataRecord AL2O2plus(
name="AL2O2plus",
MM=0.0859613274,
Hf=6484762.995877144,
H0=174207.8147574069,
Tlimit=1000,
alow={82920.3499,-1757.427015,15.25328567,-0.008983131330000001,
8.9539545e-006,-4.8405862e-009,1.096696856e-012},
blow={73116.7714,-55.1709255},
ahigh={-165200.5184,-60.2160697,10.04626917,-1.892194088e-005,
4.2533012e-009,-4.942390419999999e-013,2.314507373e-017},
bhigh={63862.19,-23.45753361},
R_s=R_NASA_2002/AL2O2plus.MM);
constant IdealGases.Common.DataRecord AL2O3(
name="AL2O3",
MM=0.101961276,
Hf=-5363708.178779559,
H0=192210.9134844487,
Tlimit=1000,
alow={-7443.37432,88.29004210000001,5.26466264,0.02507678848,-3.43454165e-005,
2.30251698e-008,-6.12252928e-012},
blow={-68726.85950000001,2.202324298},
ahigh={-277778.4969,-491.746593,13.86703888,-0.000146938194,3.25040649e-008,
-3.73086735e-012,1.730444284e-016},
bhigh={-67907.5785,-43.75559873},
R_s=R_NASA_2002/AL2O3.MM);
constant IdealGases.Common.DataRecord AL2S(
name="AL2S",
MM=0.086028076,
Hf=2565198.959000316,
H0=162783.2639195604,
Tlimit=1000,
alow={40946.2437,-779.7172469999999,9.814423100000001,-0.00394033982,
3.91246543e-006,-2.105891677e-009,4.74600108e-013},
blow={28339.63305,-24.65067552},
ahigh={-70434.3737,-26.76376869,7.52023382,-8.16612306e-006,1.81602604e-009,
-2.091989298e-013,9.727537699999999e-018},
bhigh={24227.18377,-10.66580982},
R_s=R_NASA_2002/AL2S.MM);
constant IdealGases.Common.DataRecord AL2S2(
name="AL2S2",
MM=0.118093076,
Hf=1145599.09507311,
H0=153264.8789671632,
Tlimit=1000,
alow={66145.8732,-1111.319537,12.57007304,-0.001456053256,-5.85162711e-007,
1.390055053e-009,-5.4964682e-013},
blow={19144.56895,-36.00277092},
ahigh={-137780.6456,-77.050325,10.55723566,-2.277554487e-005,
5.00768285e-009,-5.715862119999999e-013,2.63799924e-017},
bhigh={13133.36091,-22.56851594},
R_s=R_NASA_2002/AL2S2.MM);
constant IdealGases.Common.DataRecord Ar(
name="Ar",
MM=0.039948,
Hf=0,
H0=155137.3785921698,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={-745.375,4.37967491},
ahigh={20.10538475,-0.05992661069999999,2.500069401,-3.99214116e-008,
1.20527214e-011,-1.819015576e-015,1.078576636e-019},
bhigh={-744.993961,4.37918011},
R_s=R_NASA_2002/Ar.MM);
constant IdealGases.Common.DataRecord Arplus(
name="Arplus",
MM=0.0399474514,
Hf=38219669.92868035,
H0=155353.7906050247,
Tlimit=1000,
alow={-57312.0917,793.079147,-1.717121217,0.01044184018,-1.180207501e-005,
6.52813478e-009,-1.44755813e-012},
blow={179057.223,29.4915095},
ahigh={-383596.54,816.20197,2.301342628,-4.95298377e-006,1.205108477e-008,-2.185050286e-012,
1.265493898e-016},
bhigh={177181.1455,7.94750748},
R_s=R_NASA_2002/Arplus.MM);
constant IdealGases.Common.DataRecord B(
name="B",
MM=0.010811,
Hf=53241953.5658126,
H0=584225.326056794,
Tlimit=1000,
alow={118.2394638,-0.0700991691,2.500236159,-4.5842137e-007,5.12318583e-010,
-3.057217674e-013,7.533815325e-017},
blow={68483.59080000001,4.20950192},
ahigh={-107265.961,322.530716,2.126407232,0.0002106579339,-5.93712916e-008,
7.37742799e-012,-2.282443381e-016},
bhigh={66434.13099999999,6.87706967},
R_s=R_NASA_2002/B.MM);
constant IdealGases.Common.DataRecord Bplus(
name="Bplus",
MM=0.0108104514,
Hf=127868437.3901352,
H0=573281.1490184396,
Tlimit=1000,
alow={0.07849791190000001,-0.000894748095,2.500004085,-9.577271229999999e-009,
1.218136411e-011,-7.98675252e-015,2.113769829e-018},
blow={165508.026,2.419053631},
ahigh={-8911.54803,4.58779009,2.531500086,-4.9039491e-005,2.853326582e-008,
-7.38217591e-012,7.12072156e-016},
bhigh={165452.6303,2.23866978},
R_s=R_NASA_2002/Bplus.MM);
constant IdealGases.Common.DataRecord Bminus(
name="Bminus",
MM=0.0108115486,
Hf=50189988.32415183,
H0=580175.7206178586,
Tlimit=1000,
alow={22.01568105,-0.00474046888,2.500014238,-2.497056599e-008,
2.556360708e-011,-1.41527478e-014,3.27177071e-018},
blow={64517.9188,4.61636729},
ahigh={21.18018248,0.0002070697496,2.499999729,1.456693631e-010,-3.88857176e-014,
5.09059863e-018,-2.601566168e-022},
bhigh={64517.8914,4.61645583},
R_s=R_NASA_2002/Bminus.MM);
constant IdealGases.Common.DataRecord BBr(
name="BBr",
MM=0.090715,
Hf=2656146.81144243,
H0=99179.38598908672,
Tlimit=1000,
alow={37960.935,-497.609602,5.2670082,-3.74284019e-005,-1.13154437e-006,
1.261945702e-009,-4.28881188e-013},
blow={30381.25367,-4.35340733},
ahigh={253685.8027,-640.59095,4.66682347,0.000417548639,-2.963714868e-007,
7.51911954e-011,-4.83536832e-015},
bhigh={31890.8434,-0.8255870910000001},
R_s=R_NASA_2002/BBr.MM);
constant IdealGases.Common.DataRecord BBr2(
name="BBr2",
MM=0.170619,
Hf=573374.6944947515,
H0=71508.54828594705,
Tlimit=1000,
alow={65165.5071,-902.959076,8.063817800000001,0.00112984901,-4.19548239e-006,
3.96565877e-009,-1.283029835e-012},
blow={14704.66408,-13.36453164},
ahigh={-419163.337,415.768847,7.14816983,-0.000568959075,3.19544177e-007,-5.55317699e-011,
3.19113676e-015},
bhigh={6118.98205,-5.50275962},
R_s=R_NASA_2002/BBr2.MM);
constant IdealGases.Common.DataRecord BBr3(
name="BBr3",
MM=0.250523,
Hf=-819485.6360493847,
H0=62680.06131173585,
Tlimit=1000,
alow={39680.7369,-633.108716,8.054551569999999,0.009777571299999999,-1.614866025e-005,
1.216119883e-008,-3.51653961e-012},
blow={-23667.23308,-11.0609939},
ahigh={-190104.6795,-150.3627687,10.10999896,-4.32309511e-005,
9.409696190000001e-009,-1.06521847e-012,4.883048770000001e-017},
bhigh={-27425.53062,-19.97496003},
R_s=R_NASA_2002/BBr3.MM);
constant IdealGases.Common.DataRecord BC(
name="BC",
MM=0.0228217,
Hf=36726532.42308855,
H0=382754.3522174071,
Tlimit=1000,
alow={-39157.58,728.453806,-1.552743361,0.01552898673,-1.976857863e-005,
1.272066405e-008,-3.22998278e-012},
blow={96449.13680000001,32.48204466},
ahigh={-2346280.674,6450.7513,-2.619532384,0.0033391605,-4.50802214e-007,
1.351919576e-011,8.265104270000001e-016},
bhigh={57866.8507,50.37884876},
R_s=R_NASA_2002/BC.MM);
constant IdealGases.Common.DataRecord BC2(
name="BC2",
MM=0.0348324,
Hf=23003259.17823635,
H0=335544.6366027033,
Tlimit=1000,
alow={-29874.22175,364.312658,2.963469415,0.00656175015,-3.53976724e-006,
1.927356029e-010,3.118724866e-013},
blow={93048.3573,10.83424193},
ahigh={1525485.889,-5987.862380000001,14.08384855,-0.0037474998,
1.081927223e-006,-1.378744645e-010,6.473822e-015},
bhigh={131120.4013,-63.37215498},
R_s=R_NASA_2002/BC2.MM);
constant IdealGases.Common.DataRecord BCL(
name="BCL",
MM=0.046264,
Hf=3959308.25263704,
H0=191538.4964551271,
Tlimit=1000,
alow={22024.58989,-170.0511155,3.066075869,0.00559507018,-8.46087041e-006,
6.08473341e-009,-1.702889433e-012},
blow={21974.02537,6.388978917},
ahigh={-74212.6254,263.8090127,3.60022765,0.001018866266,-4.666184119999999e-007,
9.849002029999999e-011,-6.46881817e-015},
bhigh={19127.2648,5.235317877},
R_s=R_NASA_2002/BCL.MM);
constant IdealGases.Common.DataRecord BCLplus(
name="BCLplus",
MM=0.0462634514,
Hf=26679375.67667076,
H0=191518.7417253525,
Tlimit=1000,
alow={65144.0542,-684.554101,5.52727682,-0.000445835745,-4.55772884e-007,
6.37085816e-010,-2.13436612e-013},
blow={150942.4507,-6.918246393},
ahigh={-216942.3542,358.997516,4.03520837,0.000327445243,-8.63457845e-008,
1.207061044e-011,-5.262253270000001e-016},
bhigh={144547.7224,3.488222017},
R_s=R_NASA_2002/BCLplus.MM);
constant IdealGases.Common.DataRecord BCLOH(
name="BCLOH",
MM=0.06327134,
Hf=-3698441.996012729,
H0=196479.4644779137,
Tlimit=1000,
alow={-28984.27288,689.404658,-2.288138069,0.0334942862,-4.72522598e-005,
3.32698131e-008,-9.224238860000001e-012},
blow={-32619.811,39.76886651},
ahigh={702773.844,-2857.391274,10.9117584,-8.10770934e-005,-2.124440337e-008,
5.40991244e-012,-3.46415384e-016},
bhigh={-13072.21888,-35.85168799},
R_s=R_NASA_2002/BCLOH.MM);
constant IdealGases.Common.DataRecord BCL_OH_2(
name="BCL_OH_2",
MM=0.08027867999999999,
Hf=-10032397.8670302,
H0=168975.1625213569,
Tlimit=1000,
alow={80726.23009999999,-859.461982,2.705039614,0.0387879962,-5.72173435e-005,
4.14585033e-008,-1.168536754e-011},
blow={-93799.10739999999,7.134982695},
ahigh={1423878.191,-5849.70407,17.92165219,-0.0002009909087,-3.39343578e-008,
9.838560759999999e-012,-6.47267882e-016},
bhigh={-64742.6176,-81.00399519},
R_s=R_NASA_2002/BCL_OH_2.MM);
constant IdealGases.Common.DataRecord BCL2(
name="BCL2",
MM=0.081717,
Hf=-745028.4518521237,
H0=140896.2761726446,
Tlimit=1000,
alow={35988.7942,-360.28265,4.15768545,0.0115287745,-1.816567395e-005,
1.341714418e-008,-3.84082286e-012},
blow={-6765.107050000001,5.182311874},
ahigh={350140.313,-1662.20359,8.83953472,-0.000977254411,2.467356248e-007,-2.501151018e-011,
8.722954559999999e-016},
bhigh={568.2909440000001,-21.48348344},
R_s=R_NASA_2002/BCL2.MM);
constant IdealGases.Common.DataRecord BCL2plus(
name="BCL2plus",
MM=0.0817164514,
Hf=8227417.985994433,
H0=157236.4166562426,
Tlimit=1000,
alow={80659.5624,-1149.602601,10.16765297,-0.00358649491,2.837145924e-006,-1.225075731e-009,
2.224794198e-013},
blow={84786.1741,-29.37256994},
ahigh={302929.3331,-1305.533159,8.920390060000001,-0.000728991964,
1.727833266e-007,-1.523567337e-011,4.22691144e-016},
bhigh={86534.15770000001,-22.67466616},
R_s=R_NASA_2002/BCL2plus.MM);
constant IdealGases.Common.DataRecord BCL2OH(
name="BCL2OH",
MM=0.09872433999999999,
Hf=-6127338.445615337,
H0=142333.3799952474,
Tlimit=1000,
alow={20997.5517,-247.0699169,2.578761742,0.03120362393,-4.54531405e-005,
3.24201177e-008,-9.039822660000001e-012},
blow={-73090.2862,12.73658611},
ahigh={587811.379,-2982.969317,14.00662004,-0.0001194189832,-1.269775742e-008,
4.42289219e-012,-3.004089365e-016},
bhigh={-58241.6807,-51.50858228},
R_s=R_NASA_2002/BCL2OH.MM);
constant IdealGases.Common.DataRecord BF(
name="BF",
MM=0.0298094032,
Hf=-3587186.341254897,
H0=291675.4133474233,
Tlimit=1000,
alow={-52389.5473,811.8476640000001,-1.141614903,0.01161249417,-1.175212617e-005,
6.01923278e-009,-1.238293129e-012},
blow={-17745.41998,30.05086287},
ahigh={-374638.978,560.449391,3.60918611,0.000618721693,-1.77893877e-007,
2.426601527e-011,-9.394651579999999e-016},
bhigh={-18191.79292,3.71660929},
R_s=R_NASA_2002/BF.MM);
constant IdealGases.Common.DataRecord BFCL(
name="BFCL",
MM=0.0652624032,
Hf=-4277869.865509336,
H0=169056.6001100003,
Tlimit=1000,
alow={-23635.12735,438.316898,0.391809572,0.01719990692,-2.139592424e-005,
1.337389186e-008,-3.37116469e-012},
blow={-36871.6659,26.68102752},
ahigh={-108630.9561,-523.343848,7.29750474,-3.054410701e-005,-3.154598306e-008,
1.052290533e-011,-7.615432260000001e-016},
bhigh={-33058.9121,-11.86586595},
R_s=R_NASA_2002/BFCL.MM);
constant IdealGases.Common.DataRecord BFCL2(
name="BFCL2",
MM=0.1007154032,
Hf=-6384326.325171282,
H0=131369.3097542005,
Tlimit=1000,
alow={4402.55124,-157.1398929,4.01632231,0.01743396078,-2.25278906e-005,
1.433673443e-008,-3.64875558e-012},
blow={-78224.52619999999,6.886094746},
ahigh={-223361.3309,-644.060296,10.47861848,-0.0001911892367,
4.22488779e-008,-4.84726692e-012,2.247974725e-016},
bhigh={-77406.2648,-28.14630564},
R_s=R_NASA_2002/BFCL2.MM);
constant IdealGases.Common.DataRecord BFOH(
name="BFOH",
MM=0.0468167432,
Hf=-9646798.284764072,
H0=255744.4448634778,
Tlimit=1000,
alow={-75639.5367,1354.838128,-5.64821011,0.0387027466,-5.03765918e-005,
3.33959264e-008,-8.847822949999999e-012},
blow={-61944.4611,58.0036282},
ahigh={725131.809,-3215.62085,11.17909777,-0.0001883881929,2.57970808e-009,
2.6651581e-012,-2.186647438e-016},
bhigh={-37168.0808,-39.7846349},
R_s=R_NASA_2002/BFOH.MM);
constant IdealGases.Common.DataRecord BF_OH_2(
name="BF_OH_2",
MM=0.06382408319999999,
Hf=-16449739.44568937,
H0=201886.4878892612,
Tlimit=1000,
alow={13818.00676,252.9637004,-3.84455204,0.0525514085,-7.19311773e-005,
4.94830991e-008,-1.345922496e-011},
blow={-128312.3258,42.9365937},
ahigh={1422037.64,-6257.297570000001,18.22460686,-0.000322139645,-7.1267399e-009,
6.75869977e-012,-5.04255454e-016},
bhigh={-91862.5419,-85.27895049999999},
R_s=R_NASA_2002/BF_OH_2.MM);
constant IdealGases.Common.DataRecord BF2(
name="BF2",
MM=0.04880780639999999,
Hf=-10232521.00098479,
H0=217428.3743266118,
Tlimit=1000,
alow={-67876.51760000001,1085.903536,-3.023320961,0.02326503687,-2.641444147e-005,
1.515620683e-008,-3.51855918e-012},
blow={-66409.18250000001,44.31968310000001},
ahigh={-115309.1296,-810.9800119999999,7.60270923,-0.0002409209242,
5.32847186e-008,-6.11879794e-012,2.839984178e-016},
bhigh={-57962.2217,-16.55644047},
R_s=R_NASA_2002/BF2.MM);
constant IdealGases.Common.DataRecord BF2plus(
name="BF2plus",
MM=0.0488072578,
Hf=6609394.064339341,
H0=217436.5755906082,
Tlimit=1000,
alow={-29383.56477,295.5698598,1.894274526,0.01280508319,-1.388757254e-005,
7.62436675e-009,-1.706339371e-012},
blow={35989.9244,13.84803311},
ahigh={-176940.9966,-534.368518,7.72805291,-1.958622052e-006,-2.419680893e-008,
5.73253381e-012,-3.21635423e-016},
bhigh={39087.4505,-19.36560315},
R_s=R_NASA_2002/BF2plus.MM);
constant IdealGases.Common.DataRecord BF2minus(
name="BF2minus",
MM=0.048808355,
Hf=-15034371.94308229,
H0=213766.0857449509,
Tlimit=1000,
alow={21097.65318,143.95646,0.2604646296,0.01817373751,-2.241565287e-005,
1.369712886e-008,-3.35595268e-012},
blow={-89718.0178,23.51692604},
ahigh={-170992.0627,-615.621979,7.45887137,-0.0001836703248,
4.064363959999999e-008,-4.66770095e-012,2.16626484e-016},
bhigh={-87414.0453,-16.20604664},
R_s=R_NASA_2002/BF2minus.MM);
constant IdealGases.Common.DataRecord BF2CL(
name="BF2CL",
MM=0.08426080640000001,
Hf=-10538707.59062662,
H0=146256.5281122208,
Tlimit=1000,
alow={4500.10125,-119.6284966,3.19863514,0.01743426933,-1.994070287e-005,
1.12513643e-008,-2.544020371e-012},
blow={-107677.9851,10.08195015},
ahigh={-206681.7398,-1024.447292,10.75843981,-0.0003023235319,
6.67252147e-008,-7.6499419e-012,3.5462245e-016},
bhigh={-104693.6725,-32.29995036},
R_s=R_NASA_2002/BF2CL.MM);
constant IdealGases.Common.DataRecord BF2OH(
name="BF2OH",
MM=0.0658151464,
Hf=-16595227.41713448,
H0=188343.9858153989,
Tlimit=1000,
alow={-7522.52165,436.712169,-3.128973474,0.04323957680000001,-5.78549404e-005,
3.88585813e-008,-1.038574523e-011},
blow={-134425.9458,41.3917055},
ahigh={576075.9250000001,-3611.90019,14.4689764,-0.0003028293733,
2.764337508e-008,-1.90549317e-013,-8.69497194e-017},
bhigh={-113358.9041,-58.9698151},
R_s=R_NASA_2002/BF2OH.MM);
constant IdealGases.Common.DataRecord BF3(
name="BF3",
MM=0.0678062096,
Hf=-16753627.82703017,
H0=171831.2536378674,
Tlimit=1000,
alow={3465.584,21.33198651,1.641245191,0.01993755064,-2.15011993e-005,
1.145669081e-008,-2.442285789e-012},
blow={-137945.5591,16.25533544},
ahigh={-181976.7014,-1405.347931,11.03412258,-0.000410459105,
9.031277570000001e-008,-1.03305736e-011,4.780551830000001e-016},
bhigh={-132313.6863,-37.3838608},
R_s=R_NASA_2002/BF3.MM);
constant IdealGases.Common.DataRecord BF4minus(
name="BF4minus",
MM=0.0868051614,
Hf=-20289876.42663378,
H0=158926.5289932403,
Tlimit=1000,
alow={206848.52,-2463.190805,12.06414196,0.01102766923,-1.75172076e-005,
1.201346256e-008,-3.150588626e-012},
blow={-201056.9206,-46.1082694},
ahigh={-437324.171,-775.928941,13.58222575,-0.0002341024178,5.19691594e-008,
-5.982245780000001e-012,2.781163206e-016},
bhigh={-212725.1877,-49.533697},
R_s=R_NASA_2002/BF4minus.MM);
constant IdealGases.Common.DataRecord BH(
name="BH",
MM=0.01181894,
Hf=37966789.23829041,
H0=730954.2141681063,
Tlimit=1000,
alow={20630.8255,-368.250252,6.07133787,-0.00872832107,1.458566459e-005,-1.036840401e-008,
2.779462579e-012},
blow={54604.5992,-13.00392582},
ahigh={-1098531.663,-174.5890126,8.442426810000001,-0.00544019667,
2.718307052e-006,-4.83981221e-010,2.868523222e-014},
bhigh={50167.3567,-29.71030686},
R_s=R_NASA_2002/BH.MM);
constant IdealGases.Common.DataRecord BHCL(
name="BHCL",
MM=0.04727194,
Hf=2991590.931110507,
H0=217989.9322938725,
Tlimit=1000,
alow={47632.7491,-442.001652,3.97564588,0.008541698759999999,-1.377785182e-005,
1.131521587e-008,-3.56965918e-012},
blow={18222.78428,3.028452399},
ahigh={349999.172,-2238.404757,8.71110605,-0.001088882906,4.18930109e-007,-6.56871126e-011,
3.6200676e-015},
bhigh={28412.40364,-25.89566225},
R_s=R_NASA_2002/BHCL.MM);
constant IdealGases.Common.DataRecord BHCL2(
name="BHCL2",
MM=0.08272494,
Hf=-3044831.81251023,
H0=141984.170674527,
Tlimit=1000,
alow={44199.1481,-238.4739577,1.356682235,0.02517866897,-3.6329104e-005,
2.644335581e-008,-7.62504411e-012},
blow={-30038.77914,17.87024616},
ahigh={411099.606,-2858.027441,11.79547506,-0.000632281797,1.269551549e-007,
-1.352862344e-011,5.92165351e-016},
bhigh={-16172.8876,-42.17900972},
R_s=R_NASA_2002/BHCL2.MM);
constant IdealGases.Common.DataRecord BHF(
name="BHF",
MM=0.0308173432,
Hf=-2466544.325599099,
H0=325857.3243912862,
Tlimit=1000,
alow={-49083.6226,961.0760210000001,-2.919850316,0.02149156633,-2.595677863e-005,
1.693492714e-008,-4.55364884e-012},
blow={-14669.25195,41.6070931},
ahigh={1184821.3,-4677.43518,10.67328148,-0.001606366598,3.7045347e-007,-3.79788275e-011,
1.432441145e-015},
bhigh={18026.40937,-42.85931169999999},
R_s=R_NASA_2002/BHF.MM);
constant IdealGases.Common.DataRecord BHFCL(
name="BHFCL",
MM=0.0662703432,
Hf=-7288880.616510825,
H0=172242.0384266246,
Tlimit=1000,
alow={576.116972,304.215625,-0.9808900360000001,0.02803843648,-3.67673402e-005,
2.499824138e-008,-6.87342164e-012},
blow={-60502.0739,31.32842092},
ahigh={439077.892,-3137.181709,12.00286161,-0.000715366934,1.453878608e-007,
-1.56519707e-011,6.910075059999999e-016},
bhigh={-42323.6834,-44.66542881},
R_s=R_NASA_2002/BHFCL.MM);
constant IdealGases.Common.DataRecord BHF2(
name="BHF2",
MM=0.0498157464,
Hf=-14846988.44138969,
H0=213975.4549577521,
Tlimit=1000,
alow={-83535.40280000001,1616.659766,-8.161405670000001,0.0415378679,-4.92106328e-005,
3.054165306e-008,-7.78681398e-012},
blow={-97480.65459999999,70.3863075},
ahigh={466087.6960000001,-3728.10049,12.44152658,-0.000890684319,
1.841732568e-007,-2.010774349e-011,8.979196590000001e-016},
bhigh={-69781.4293,-51.0321804},
R_s=R_NASA_2002/BHF2.MM);
constant IdealGases.Common.DataRecord BH2(
name="BH2",
MM=0.01282688,
Hf=25642171.6738599,
H0=781449.5029188704,
Tlimit=1000,
alow={28125.57296,-300.0083489,4.824221,-0.0002186429819,1.485457398e-006,
3.89373968e-010,-6.331629389999999e-013},
blow={39919.8842,-5.04268285},
ahigh={1360117.365,-4917.70449,9.75897103,-0.000741587064,1.269760019e-007,
-1.187742442e-011,4.68255251e-016},
bhigh={68902.92660000001,-41.9049012},
R_s=R_NASA_2002/BH2.MM);
constant IdealGases.Common.DataRecord BH2CL(
name="BH2CL",
MM=0.04827988,
Hf=-1674522.679012458,
H0=215967.8524470235,
Tlimit=1000,
alow={16466.38117,127.7320942,0.1300268921,0.01938143193,-2.316389616e-005,
1.607896164e-008,-4.66833765e-012},
blow={-11121.12215,23.08500112},
ahigh={1427215.437,-6265.56434,13.82183005,-0.001313843556,2.587131606e-007,
-2.71384527e-011,1.172827257e-015},
bhigh={26393.87516,-63.99725308},
R_s=R_NASA_2002/BH2CL.MM);
constant IdealGases.Common.DataRecord BH2F(
name="BH2F",
MM=0.0318252832,
Hf=-10179225.42791387,
H0=318549.3098769974,
Tlimit=1000,
alow={-88379.2044,1705.285929,-8.061246130000001,0.0364318868,-4.15248255e-005,
2.620135756e-008,-6.930886410000001e-012},
blow={-47872.7341,68.6208767},
ahigh={1435082.111,-6625.32017,14.09165008,-0.00142246906,2.828724718e-007,
-2.992498948e-011,1.302618926e-015},
bhigh={-793.719267,-68.013564},
R_s=R_NASA_2002/BH2F.MM);
constant IdealGases.Common.DataRecord BH3(
name="BH3",
MM=0.01383482,
Hf=7571229.622069531,
H0=727129.0121591751,
Tlimit=1000,
alow={-66196.3507,1262.658391,-4.6543559,0.02461795131,-2.501537437e-005,
1.562330756e-008,-4.32394948e-012},
blow={5667.58798,46.66504620000001},
ahigh={1855778.95,-8002.492370000001,15.05692199,-0.001790456689,
3.6125111e-007,-3.86603591e-011,1.698508879e-015},
bhigh={59675.3707,-79.94046159999999},
R_s=R_NASA_2002/BH3.MM);
constant IdealGases.Common.DataRecord BH3NH3(
name="BH3NH3",
MM=0.03086534,
Hf=-3725862.083489118,
H0=410866.3633706935,
Tlimit=1000,
alow={-181106.3598,3010.341543,-15.24271135,0.0621563775,-5.95988185e-005,
3.26742936e-008,-7.75124309e-012},
blow={-29342.78877,108.7399608},
ahigh={4354925.96,-18242.35232,31.6299983,-0.00320824361,5.88507545e-007,-5.80853553e-011,
2.3825786e-015},
bhigh={94381.18030000001,-189.7865799},
R_s=R_NASA_2002/BH3NH3.MM);
constant IdealGases.Common.DataRecord BH4(
name="BH4",
MM=0.01484276,
Hf=17194273.6391345,
H0=725665.3749033199,
Tlimit=1000,
alow={27342.74578,-84.73619380000001,1.551871695,0.01439765491,-6.11115236e-006,
-1.324417559e-010,5.13300815e-013},
blow={30220.48074,12.50358328},
ahigh={1354714.146,-7870.76275,18.2617061,-0.001948275329,4.07270689e-007,-4.4827109e-011,
2.014115885e-015},
bhigh={74702.49489999999,-96.8608689},
R_s=R_NASA_2002/BH4.MM);
constant IdealGases.Common.DataRecord BI(
name="BI",
MM=0.13771547,
Hf=2367108.807746871,
H0=66384.71335137585,
Tlimit=1000,
alow={35174.4953,-544.5819300000001,6.02751101,-0.002387237926,
2.244796277e-006,-1.110001347e-009,2.280204403e-013},
blow={40719.1013,-7.28804984},
ahigh={2132872.626,-6283.684960000001,11.23964343,-0.00325885675,
7.06428215e-007,-4.23006893e-011,-4.20807847e-016},
bhigh={77976.3481,-46.6404261},
R_s=R_NASA_2002/BI.MM);
constant IdealGases.Common.DataRecord BI2(
name="BI2",
MM=0.26461994,
Hf=899767.1301716719,
H0=47949.61407670186,
Tlimit=1000,
alow={66409.75900000001,-1044.411994,9.73419724,-0.00395255754,
3.16556778e-006,-1.273764644e-009,1.879968132e-013},
blow={32057.5089,-20.12407058},
ahigh={-392402.223,442.290235,7.12962358,-0.000561963406,3.18076052e-007,-5.537079720000001e-011,
3.1839597e-015},
bhigh={22919.72638,-3.20179324},
R_s=R_NASA_2002/BI2.MM);
constant IdealGases.Common.DataRecord BI3(
name="BI3",
MM=0.39152441,
Hf=54658.1501776607,
H0=43249.08375444586,
Tlimit=1000,
alow={62431.1489,-1002.408628,11.06650075,0.001609588058,-5.14725025e-006,
4.73251402e-009,-1.512999796e-012},
blow={5160.34815,-24.20687643},
ahigh={-150617.6506,-81.67210609999999,10.05937867,-2.319396215e-005,
5.01996673e-009,-5.65434963e-013,2.580651348e-017},
bhigh={-426.168791,-16.17962779},
R_s=R_NASA_2002/BI3.MM);
constant IdealGases.Common.DataRecord BN(
name="BN",
MM=0.0248177,
Hf=23157923.90108673,
H0=361077.2956398055,
Tlimit=1000,
alow={-45697.0758,670.4286070000001,0.0361508908,0.007339487509999999,-4.96903349e-006,
1.22903138e-009,6.34028152e-014},
blow={64854.6508,25.39869896},
ahigh={-227693.2705,-102.5649298,4.41458681,0.0002561670989,-1.612994942e-008,
-6.526052929999999e-013,5.74946612e-017},
bhigh={67844.6513,-0.6778568656},
R_s=R_NASA_2002/BN.MM);
constant IdealGases.Common.DataRecord BO(
name="BO",
MM=0.0268104,
Hf=761137.6182376987,
H0=323535.0461015128,
Tlimit=1000,
alow={-11662.16822,92.17579389999999,3.65549849,-0.00311854292,
9.00832983e-006,-8.017789990000001e-009,2.472952292e-012},
blow={873.8284780000001,4.48284739},
ahigh={17886.00589,-630.901963,4.5745284,0.0001988001643,-9.70296348e-008,
1.870854291e-011,-1.030218131e-015},
bhigh={4841.311089999999,-3.39889058},
R_s=R_NASA_2002/BO.MM);
constant IdealGases.Common.DataRecord BOminus(
name="BOminus",
MM=0.0268109486,
Hf=-10361105.8356958,
H0=323525.4421397086,
Tlimit=1000,
alow={-82420.23209999999,920.3636899999999,-0.2302659981,
0.006229904119999999,-3.157624391e-006,1.184578107e-010,
2.819228693e-013},
blow={-39111.4122,25.99226838},
ahigh={212280.4369,-1262.124688,5.38316731,-0.00031810491,7.28898825e-008,-8.141708919999999e-012,
3.71536439e-016},
bhigh={-27068.92261,-9.77375367},
R_s=R_NASA_2002/BOminus.MM);
constant IdealGases.Common.DataRecord BOCL(
name="BOCL",
MM=0.0622634,
Hf=-5115954.075749156,
H0=170371.5666025305,
Tlimit=1000,
alow={70523.8064,-1315.301429,11.30087727,-0.0120711205,1.880516131e-005,-1.373823975e-008,
3.85489016e-012},
blow={-33553.991,-36.98462517},
ahigh={155714.8487,-1446.254968,8.50944805,-0.000385900738,8.26226882e-008,
-9.261027459999999e-012,4.21999801e-016},
bhigh={-32035.8904,-23.72713292},
R_s=R_NASA_2002/BOCL.MM);
constant IdealGases.Common.DataRecord BOCL2(
name="BOCL2",
MM=0.0977164,
Hf=-3700151.786189422,
H0=134774.2037160599,
Tlimit=1000,
alow={7322.66736,-202.7726965,4.16192409,0.01733309456,-2.263908718e-005,
1.45227519e-008,-3.71959312e-012},
blow={-44144.4188,6.52042411},
ahigh={-229752.7041,-619.456793,10.46075518,-0.0001841620739,
4.07121543e-008,-4.67224655e-012,2.167237536e-016},
bhigh={-43715.3842,-27.43570215},
R_s=R_NASA_2002/BOCL2.MM);
constant IdealGases.Common.DataRecord BOF(
name="BOF",
MM=0.0458088032,
Hf=-12944636.61080759,
H0=218043.1336830909,
Tlimit=1000,
alow={72268.02649999999,-1131.38663,8.81605452,-0.00462769457,
7.80129958e-006,-5.681205839999999e-009,1.534732094e-012},
blow={-67111.16009999999,-25.47957229},
ahigh={193702.0297,-1739.112297,8.695650860000001,-0.000451889557,
9.59101908e-008,-1.067806769e-011,4.840007660000001e-016},
bhigh={-63301.5239,-27.02458617},
R_s=R_NASA_2002/BOF.MM);
constant IdealGases.Common.DataRecord BOF2(
name="BOF2",
MM=0.0648072064,
Hf=-12849924.35656045,
H0=179169.2412774639,
Tlimit=1000,
alow={7227.79413,21.48783624,1.157840301,0.02250585296,-2.610731536e-005,
1.508824929e-008,-3.51836485e-012},
blow={-101399.5733,20.10127136},
ahigh={-220502.8861,-1254.23869,10.9255138,-0.0003680144,8.10716494e-008,-9.28127506e-012,
4.2975493e-016},
bhigh={-96804.47579999999,-34.8285333},
R_s=R_NASA_2002/BOF2.MM);
constant IdealGases.Common.DataRecord BOH(
name="BOH",
MM=0.02781834,
Hf=-242882.1417812853,
H0=360608.2893515573,
Tlimit=1000,
alow={-75214.1027,1391.444703,-5.63033018,0.02966358811,-3.83083518e-005,
2.550606424e-008,-6.79585721e-012},
blow={-8341.300280000001,55.17690039999999},
ahigh={844749.8570000001,-3016.982887,8.0838647,-0.0001609855388,-2.191830959e-009,
3.127133119e-012,-2.376665451e-016},
bhigh={16476.98495,-26.03227947},
R_s=R_NASA_2002/BOH.MM);
constant IdealGases.Common.DataRecord BO2(
name="BO2",
MM=0.0428098,
Hf=-7220822.031404024,
H0=251628.2953903078,
Tlimit=1000,
alow={-41410.9064,719.885461,-1.477629435,0.02277415194,-2.786326934e-005,
1.718462069e-008,-4.27899144e-012},
blow={-41776.5769,32.5845801},
ahigh={-38344.5234,-956.326114,8.200962779999999,-0.0002062130802,
9.87228899e-009,8.15836676e-012,-7.52751966e-016},
bhigh={-34235.6402,-22.24772278},
R_s=R_NASA_2002/BO2.MM);
constant IdealGases.Common.DataRecord BO2minus(
name="BO2minus",
MM=0.0428103486,
Hf=-16689749.42661411,
H0=224187.4059395069,
Tlimit=1000,
alow={53242.7969,-732.631303,5.90247,0.0024374652,-4.87880395e-007,-8.47572476e-010,
4.08078118e-013},
blow={-83442.9368,-10.53931911},
ahigh={119922.6372,-1715.766982,8.701038219999999,-0.000460124212,
9.867011870000001e-008,-1.107288516e-011,5.05018324e-016},
bhigh={-78257.89689999999,-28.39356505},
R_s=R_NASA_2002/BO2minus.MM);
constant IdealGases.Common.DataRecord B_OH_2(
name="B_OH_2",
MM=0.04482568,
Hf=-9486607.721288333,
H0=267071.4197754501,
Tlimit=1000,
alow={1491.659222,364.818484,-2.906006389,0.0413683446,-5.78258422e-005,
4.069783560000001e-008,-1.126499791e-011},
blow={-53754.8366,38.8853518},
ahigh={1557023.406,-5784.71076,14.87391235,-0.0001821804765,-3.80354164e-008,
1.030332746e-011,-6.68588983e-016},
bhigh={-18068.10301,-65.902689},
R_s=R_NASA_2002/B_OH_2.MM);
constant IdealGases.Common.DataRecord BS(
name="BS",
MM=0.042876,
Hf=6379312.552476911,
H0=203472.9219143577,
Tlimit=1000,
alow={-38394.901,698.941749,-1.21398046,0.01396391264,-1.689881284e-005,
1.038889985e-008,-2.582063989e-012},
blow={28656.85472,31.54819945},
ahigh={1358760.165,-4364.03596,9.034307589999999,-0.002114548699,
4.18927531e-007,-1.354787322e-011,-1.360684605e-015},
bhigh={59130.6545,-33.36696868},
R_s=R_NASA_2002/BS.MM);
constant IdealGases.Common.DataRecord BS2(
name="BS2",
MM=0.07494100000000001,
Hf=852236.559426749,
H0=180936.4700230848,
Tlimit=1000,
alow={18202.64374,-515.067189,8.547515000000001,-0.001626155268,
1.866387194e-006,-1.277165468e-009,3.68198069e-013},
blow={8186.839750000001,-17.78384854},
ahigh={512040.251,-1938.581076,9.814873459999999,-0.001339731606,
3.75430116e-007,-4.40038378e-011,1.887662968e-015},
bhigh={17365.35,-27.57546712},
R_s=R_NASA_2002/BS2.MM);
constant IdealGases.Common.DataRecord B2(
name="B2",
MM=0.021622,
Hf=39652691.98039035,
H0=407229.0259920451,
Tlimit=1000,
alow={-151641.8096,2630.168946,-13.81358321,0.05216225190000001,-6.93049474e-005,
4.46941039e-008,-1.128496456e-011},
blow={89952.5105,98.13118490000001},
ahigh={1094594.495,-2602.735739,6.90945621,-0.0006405949889999999,
1.951732355e-007,-2.555902119e-011,1.053557323e-015},
bhigh={118780.7611,-19.49045025},
R_s=R_NASA_2002/B2.MM);
constant IdealGases.Common.DataRecord B2C(
name="B2C",
MM=0.0336327,
Hf=23799237.46829722,
H0=348562.9759133224,
Tlimit=1000,
alow={-41665.1987,579.777952,1.411017091,0.01174705713,-1.066474425e-005,
4.71723262e-009,-7.97001326e-013},
blow={91968.742,17.69254387},
ahigh={1159241.019,-4567.79881,12.28672097,-0.002500830701,6.40997985e-007,
-6.932935770000001e-011,2.672933741e-015},
bhigh={122244.2137,-51.99066186},
R_s=R_NASA_2002/B2C.MM);
constant IdealGases.Common.DataRecord B2CL4(
name="B2CL4",
MM=0.163434,
Hf=-2998152.159281422,
H0=132090.8256543926,
Tlimit=1000,
alow={42855.5513,-728.074881,9.315763670000001,0.02331629623,-3.51124761e-005,
2.464057658e-008,-6.73547996e-012},
blow={-58190.2324,-16.22083878},
ahigh={-642798.703,507.856299,14.86725022,2.026983515e-006,6.27271881e-009,
-1.218822573e-012,7.241208409999999e-017},
bhigh={-68200.66,-41.39110669},
R_s=R_NASA_2002/B2CL4.MM);
constant IdealGases.Common.DataRecord B2F4(
name="B2F4",
MM=0.09761561279999999,
Hf=-14731250.0403624,
H0=181126.6916515224,
Tlimit=1000,
alow={-59716.9564,818.9425440000001,-0.643767129,0.0385896607,-4.31305319e-005,
2.404463223e-008,-5.39355935e-012},
blow={-179004.1225,35.5217997},
ahigh={38558.6589,-2928.842655,17.92063736,-0.000952399827,1.614708845e-007,
-1.428613504e-011,5.21873967e-016},
bhigh={-161305.1924,-71.8480325},
R_s=R_NASA_2002/B2F4.MM);
constant IdealGases.Common.DataRecord B2H(
name="B2H",
MM=0.02262994,
Hf=35186239.86630102,
H0=447000.6106953885,
Tlimit=1000,
alow={87755.7974,-1343.931564,9.83209915,-0.00560713775,
5.730651049999999e-006,-2.266436197e-009,1.97235208e-013},
blow={100990.8698,-32.8246148},
ahigh={617554.5750000001,-2627.897466,9.08490507,-0.000538941833,
1.0507147e-007,-1.092459556e-011,4.68485466e-016},
bhigh={109953.7555,-31.6402991},
R_s=R_NASA_2002/B2H.MM);
constant IdealGases.Common.DataRecord B2H2(
name="B2H2",
MM=0.02363788,
Hf=19235140.33407395,
H0=447300.6462508482,
Tlimit=1000,
alow={142161.7322,-2138.011262,13.17732399,-0.00894265807,1.127804935e-005,
-5.7878862e-009,1.000813871e-012},
blow={63723.19250000001,-53.4698274},
ahigh={1240614.592,-5368.96502,13.79292454,-0.001136749748,2.245617156e-007,
-2.361530467e-011,1.022604572e-015},
bhigh={85065.1149,-64.354613},
R_s=R_NASA_2002/B2H2.MM);
constant IdealGases.Common.DataRecord B2H3(
name="B2H3",
MM=0.02464582,
Hf=14244716.58885767,
H0=484407.5384791417,
Tlimit=1000,
alow={94251.4716,-1075.866284,6.38399939,0.01167858327,-1.429661252e-005,
1.128776882e-008,-3.68132506e-012},
blow={46353.3508,-14.00002845},
ahigh={1771506.902,-7872.26093,17.89447015,-0.001709304785,3.40957543e-007,
-3.61454368e-011,1.575671409e-015},
bhigh={87377.1189,-90.5462946},
R_s=R_NASA_2002/B2H3.MM);
constant IdealGases.Common.DataRecord B2H3_db(
name="B2H3_db",
MM=0.02464582,
Hf=14339479.35187387,
H0=483296.0315380052,
Tlimit=1000,
alow={60640.1484,-752.446633,5.58448384,0.01080468494,-8.64903281e-006,
4.74833331e-009,-1.309096028e-012},
blow={44917.923,-8.87368682},
ahigh={1497731.017,-7219.31414,17.50463766,-0.0015796988,3.16410347e-007,-3.36722515e-011,
1.472919654e-015},
bhigh={83243.4967,-87.79549259999999},
R_s=R_NASA_2002/B2H3_db.MM);
constant IdealGases.Common.DataRecord B2H4(
name="B2H4",
MM=0.02565376,
Hf=8231232.341769785,
H0=481015.6094077438,
Tlimit=1000,
alow={40001.323,-307.1548876,1.763071673,0.02646361882,-3.066168202e-005,
2.163781936e-008,-6.49183541e-012},
blow={25810.33714,10.1526713},
ahigh={2292078.842,-10598.32517,22.68612155,-0.002363586598,4.76217307e-007,
-5.0901004e-011,2.23391159e-015},
bhigh={86385.91979999999,-124.6794566},
R_s=R_NASA_2002/B2H4.MM);
constant IdealGases.Common.DataRecord B2H4_db(
name="B2H4_db",
MM=0.02565376,
Hf=8183301.31723381,
H0=449394.0849216645,
Tlimit=1000,
alow={-17814.96923,571.6048040000001,-2.763085348,0.03125348696,-2.709524346e-005,
1.341728634e-008,-3.004352798e-012},
blow={21581.38307,36.7587294},
ahigh={1886854.256,-10100.45614,22.47110812,-0.002319968667,4.73187996e-007,
-5.11067303e-011,2.262693782e-015},
bhigh={82334.87,-123.7455797},
R_s=R_NASA_2002/B2H4_db.MM);
constant IdealGases.Common.DataRecord B2H5(
name="B2H5",
MM=0.0266617,
Hf=9556175.67521951,
H0=458364.9579734226,
Tlimit=1000,
alow={38309.6545,-40.6614805,-1.422523787,0.0367459527,-3.85198971e-005,
2.44449444e-008,-6.82172294e-012},
blow={30089.56452,28.02425895},
ahigh={2696691.012,-13200.19835,27.35260413,-0.002961879012,5.98499943e-007,
-6.41374855e-011,2.821187823e-015},
bhigh={106452.4901,-155.9654379},
R_s=R_NASA_2002/B2H5.MM);
constant IdealGases.Common.DataRecord B2H5_db(
name="B2H5_db",
MM=0.0266617,
Hf=10320070.21307719,
H0=437613.3554874596,
Tlimit=1000,
alow={14244.46027,420.45582,-3.70045125,0.036720531,-3.19350373e-005,
1.695013434e-008,-4.25703814e-012},
blow={30466.84683,42.45495820000001},
ahigh={2571729.448,-13568.29858,27.81376038,-0.00319236503,6.56116526e-007,
-7.12733394e-011,3.16949265e-015},
bhigh={110637.0527,-159.7214457},
R_s=R_NASA_2002/B2H5_db.MM);
constant IdealGases.Common.DataRecord B2H6(
name="B2H6",
MM=0.02766964,
Hf=1322749.410545276,
H0=431242.0761527797,
Tlimit=1000,
alow={-10528.44558,1041.795556,-8.960518860000001,0.0549248088,-5.30519705e-005,
3.011904756e-008,-7.688768300000001e-012},
blow={-925.9374349999999,68.12592429999999},
ahigh={2835765.414,-15676.00163,32.2612233,-0.00373860973,7.71880646e-007,-8.41445454e-011,
3.75222338e-015},
bhigh={93583.7855,-192.0223395},
R_s=R_NASA_2002/B2H6.MM);
constant IdealGases.Common.DataRecord B2O(
name="B2O",
MM=0.0376214,
Hf=5124690.149755193,
H0=313199.8809188387,
Tlimit=1000,
alow={-56995.4676,1018.000465,-2.636481947,0.02746009279,-3.63243272e-005,
2.406890217e-008,-6.38412972e-012},
blow={17038.74394,38.5534611},
ahigh={-162872.322,-387.628981,7.78772352,-0.0001146822108,2.528097612e-008,
-2.893783941e-012,1.339210475e-016},
bhigh={22630.35354,-19.08513011},
R_s=R_NASA_2002/B2O.MM);
constant IdealGases.Common.DataRecord B2O2(
name="B2O2",
MM=0.0536208,
Hf=-8536080.886521647,
H0=249839.9501685913,
Tlimit=1000,
alow={81743.9169,-1732.702797,16.05560926,-0.02160057288,3.56685457e-005,-2.660198794e-008,
7.531833240000001e-012},
blow={-48996.32900000001,-61.72702390000001},
ahigh={460578.966,-2990.079203,12.56764079,-0.000785097495,1.672537624e-007,
-1.86769478e-011,8.486190669999999e-016},
bhigh={-40157.4815,-48.7441371},
R_s=R_NASA_2002/B2O2.MM);
constant IdealGases.Common.DataRecord B2O3(
name="B2O3",
MM=0.06962019999999999,
Hf=-11999136.32824956,
H0=207105.5383351384,
Tlimit=1000,
alow={73796.11910000001,-1263.620592,10.72681512,0.000384138372,
5.97605838e-006,-6.55289135e-009,2.123951064e-012},
blow={-96281.83140000001,-30.88078011},
ahigh={390503.53,-3691.34821,15.55502598,-0.0009707645510000001,
2.068887872e-007,-2.310858356e-011,1.050136734e-015},
bhigh={-82630.5441,-63.9086344},
R_s=R_NASA_2002/B2O3.MM);
constant IdealGases.Common.DataRecord B2_OH_4(
name="B2_OH_4",
MM=0.08965136,
Hf=-13998533.10646933,
H0=216874.2225438633,
Tlimit=1000,
alow={-17287.17249,849.591348,-8.715959570000001,0.0936236261,-0.0001278784165,
8.81367116e-008,-2.400605571e-011},
blow={-156433.7133,71.2016931},
ahigh={2983925.656,-12074.69577,31.6261057,-0.000516368244,-4.23209397e-008,
1.67197728e-011,-1.156366726e-015},
bhigh={-82809.76969999999,-165.3010498},
R_s=R_NASA_2002/B2_OH_4.MM);
constant IdealGases.Common.DataRecord B2S(
name="B2S",
MM=0.053687,
Hf=11590528.52645892,
H0=245547.4323393,
Tlimit=1000,
alow={66386.09299999999,-920.1185690000001,8.699831339999999,0.000764558901,
-3.70902603e-006,3.64237398e-009,-1.197766071e-012},
blow={77703.758,-22.51712444},
ahigh={-121150.1483,-64.73398450000001,7.54682561,-1.82054145e-005,
3.92395117e-009,-4.40386238e-013,2.003651718e-017},
bhigh={72585.3187,-13.94971229},
R_s=R_NASA_2002/B2S.MM);
constant IdealGases.Common.DataRecord B2S2(
name="B2S2",
MM=0.085752,
Hf=1612989.924433249,
H0=169898.2181173617,
Tlimit=1000,
alow={-70615.4997,718.294478,1.919797788,0.02036407461,-2.309813846e-005,
1.311616725e-008,-2.996394781e-012},
blow={11008.29019,18.55402586},
ahigh={-164153.5014,-774.286564,11.07731737,-0.0002313278554,
5.12561429e-008,-5.89408123e-012,2.738673834e-016},
bhigh={17330.03515,-33.59766998},
R_s=R_NASA_2002/B2S2.MM);
constant IdealGases.Common.DataRecord B2S3(
name="B2S3",
MM=0.117817,
Hf=150691.8101801947,
H0=169229.0331615981,
Tlimit=1000,
alow={-34312.685,558.761537,3.41407741,0.02398333891,-2.841617637e-005,
1.690005199e-008,-4.060070709999999e-012},
blow={-3027.690575,18.46767864},
ahigh={-190585.5086,-934.8342479999999,13.69333613,-0.000276664725,
6.1101558e-008,-7.00804857e-012,3.24952462e-016},
bhigh={2906.43376,-39.46870479},
R_s=R_NASA_2002/B2S3.MM);
constant IdealGases.Common.DataRecord B3H7_C2v(
name="B3H7_C2v",
MM=0.03948858,
Hf=4457469.450661431,
H0=375258.8469881672,
Tlimit=1000,
alow={108600.9469,-792.15368,-0.9577368039999999,0.0565611929,-6.4050345e-005,
4.28132296e-008,-1.227580455e-011},
blow={24306.38819,21.02582666},
ahigh={3598592.14,-18637.01968,39.9399883,-0.00427541016,
8.705358820000001e-007,-9.38510502e-011,4.14786531e-015},
bhigh={127215.4092,-237.9769856},
R_s=R_NASA_2002/B3H7_C2v.MM);
constant IdealGases.Common.DataRecord B3H7_Cs(
name="B3H7_Cs",
MM=0.03948858,
Hf=4034541.682683955,
H0=356642.9078989419,
Tlimit=1000,
alow={52981.69330000001,407.174537,-9.63573053,0.07944312000000001,-9.306456819999999e-005,
6.105147350000001e-008,-1.685927691e-011},
blow={17070.69083,68.73966560000001},
ahigh={3281576.45,-18110.96595,39.6383246,-0.00417842411,8.52682906e-007,-9.20960024e-011,
4.076496770000001e-015},
bhigh={121362.2564,-235.7090217},
R_s=R_NASA_2002/B3H7_Cs.MM);
constant IdealGases.Common.DataRecord B3H9(
name="B3H9",
MM=0.04150446,
Hf=3346840.315474529,
H0=417543.9217857551,
Tlimit=1000,
alow={84832.14900000001,-520.616304,-0.466570121,0.0534698386,-4.15579682e-005,
1.944135439e-008,-4.54122735e-012},
blow={18051.011,21.10804198},
ahigh={3863999.5,-22294.33407,48.7504615,-0.00541844926,1.125767651e-006,-1.233226406e-010,
5.52034818e-015},
bhigh={142218.7123,-295.8240102},
R_s=R_NASA_2002/B3H9.MM);
constant IdealGases.Common.DataRecord B3N3H6(
name="B3N3H6",
MM=0.08050073999999999,
Hf=-6360189.980862289,
H0=201505.5762220323,
Tlimit=1000,
alow={-155262.1082,4010.21127,-33.824913,0.1624575582,-0.0002065528647,
1.368862991e-007,-3.6734709e-011},
blow={-80512.534,199.5000751},
ahigh={3739245.17,-19412.38951,44.4507003,-0.00321030805,5.71746542e-007,-5.48669214e-011,
2.191943197e-015},
bhigh={47584.2616,-264.1156625},
R_s=R_NASA_2002/B3N3H6.MM);
constant IdealGases.Common.DataRecord B3O3CL3(
name="B3O3CL3",
MM=0.1867902,
Hf=-8758393.325774049,
H0=130905.0528346776,
Tlimit=1000,
alow={-42844.52800000001,1005.623966,-4.55651963,0.08117967139999999,-0.0001038385803,
6.62142233e-008,-1.695748504e-011},
blow={-204090.7277,54.66113803},
ahigh={-741405.981,-2527.447455,26.87263667,-0.000746338936,1.64633411e-007,
-1.886231553e-011,8.737926310000001e-016},
bhigh={-192350.9858,-118.5636255},
R_s=R_NASA_2002/B3O3CL3.MM);
constant IdealGases.Common.DataRecord B3O3FCL2(
name="B3O3FCL2",
MM=0.1703356032,
Hf=-11059388.90995162,
H0=137658.4728001245,
Tlimit=1000,
alow={-37191.2007,867.3745889999999,-4.09577846,0.0781556397,-9.767035169999999e-005,
6.09761009e-008,-1.532880319e-011},
blow={-233138.3552,51.98088158},
ahigh={-716236.083,-2851.210308,27.10953133,-0.000840091964,
1.852318684e-007,-2.121694694e-011,9.827291560000002e-016},
bhigh={-220272.9252,-121.0679365},
R_s=R_NASA_2002/B3O3FCL2.MM);
constant IdealGases.Common.DataRecord B3O3F2CL(
name="B3O3F2CL",
MM=0.1538810064,
Hf=-13860169.47053188,
H0=144663.6691609264,
Tlimit=1000,
alow={-52770.1554,1104.904696,-5.85418105,0.07953943099999999,-9.59266077e-005,
5.79985631e-008,-1.416698348e-011},
blow={-264040.0115,60.71247222},
ahigh={-681078.749,-3370.00902,27.48953579,-0.000990544256,2.18290844e-007,
-2.49957348e-011,1.157532106e-015},
bhigh={-247211.4785,-126.1501548},
R_s=R_NASA_2002/B3O3F2CL.MM);
constant IdealGases.Common.DataRecord B3O3F3(
name="B3O3F3",
MM=0.1374264096,
Hf=-17337999.9152652,
H0=154269.7510741051,
Tlimit=1000,
alow={-72515.4978,1400.996228,-7.9067162,0.0821716185,-9.63315266e-005,
5.66819426e-008,-1.349024305e-011},
blow={-295346.1728,70.01536830000001},
ahigh={-662982.291,-3784.94687,27.79526578,-0.001112096232,2.450806704e-007,
-2.80648498e-011,1.299750466e-015},
bhigh={-274886.5475,-131.5605015},
R_s=R_NASA_2002/B3O3F3.MM);
constant IdealGases.Common.DataRecord B4H4(
name="B4H4",
MM=0.04727576,
Hf=6899738.893674052,
H0=315946.3115981636,
Tlimit=1000,
alow={217179.1579,-2598.282557,9.845440610000001,0.0302630914,-4.128334159999999e-005,
3.089368344e-008,-9.35338426e-012},
blow={50791.4348,-37.7075721},
ahigh={1937200.886,-10781.85932,28.79625241,-0.002401547707,4.83775678e-007,
-5.17049023e-011,2.269138182e-015},
bhigh={98365.95389999999,-156.1814117},
R_s=R_NASA_2002/B4H4.MM);
constant IdealGases.Common.DataRecord B4H10(
name="B4H10",
MM=0.0533234,
Hf=1239605.876594516,
H0=290408.6011019553,
Tlimit=1000,
alow={-32966.04820000001,2440.532922,-26.85332563,0.1406499347,-0.0001586710574,
9.87459413e-008,-2.601426018e-011},
blow={-3091.924018,158.9905532},
ahigh={4030474.13,-25606.29762,56.8723366,-0.00617856786,1.280621032e-006,-1.400254585e-010,
6.258866560000001e-015},
bhigh={150600.9087,-352.07142},
R_s=R_NASA_2002/B4H10.MM);
constant IdealGases.Common.DataRecord B4H12(
name="B4H12",
MM=0.05533928000000001,
Hf=3401491.924000457,
H0=393006.8117980573,
Tlimit=1000,
alow={71521.70299999999,-159.0351575,-4.71977166,0.088112289,-8.60494688e-005,
5.12353551e-008,-1.37986525e-011},
blow={21941.86547,41.878974},
ahigh={6158360.8,-32020.8673,66.60443599999999,-0.00740636928,
1.512993908e-006,-1.635619071e-010,7.24538514e-015},
bhigh={205458.6275,-414.210686},
R_s=R_NASA_2002/B4H12.MM);
constant IdealGases.Common.DataRecord B5H9(
name="B5H9",
MM=0.06312646,
Hf=1159893.965224725,
H0=254293.9521715617,
Tlimit=1000,
alow={89984.7372,104.2533357,-11.95549834,0.1007310686,-9.866680210000001e-005,
5.29553518e-008,-1.232119583e-011},
blow={8374.341780000001,76.6309048},
ahigh={3169017.62,-22825.03203,55.1200898,-0.005563411420000001,
1.157837073e-006,-1.270332301e-010,5.69426203e-015},
bhigh={133445.2571,-337.106046},
R_s=R_NASA_2002/B5H9.MM);
constant IdealGases.Common.DataRecord Ba(
name="Ba",
MM=0.137327,
Hf=1347149.504467439,
H0=45128.98410363585,
Tlimit=1000,
alow={2222.563526,-34.0797785,2.706751118,-0.0006382894490000001,
1.063003846e-006,-9.10262427e-010,3.148062219e-013},
blow={21665.49702,5.10254588},
ahigh={-19265792.28,60065.0104,-66.3396413,0.0350756593,-7.80760183e-006,
8.0851268e-010,-3.199486918e-014},
bhigh={-358966.372,500.75834},
R_s=R_NASA_2002/Ba.MM);
constant IdealGases.Common.DataRecord Baplus(
name="Baplus",
MM=0.1373264514,
Hf=5054011.961456684,
H0=45129.16438762649,
Tlimit=1000,
alow={-54231.6755,674.468078,-0.8940272500000001,0.008796642950000001,-1.222812901e-005,
8.387953870000001e-009,-2.037964358e-012},
blow={79417.7464,26.07063698},
ahigh={8794971.85,-19518.17883,14.85542861,-0.00094042335,-7.03125779e-007,
1.667412753e-010,-1.07011731e-014},
bhigh={214680.0732,-92.28264190000002},
R_s=R_NASA_2002/Baplus.MM);
constant IdealGases.Common.DataRecord BaBr(
name="BaBr",
MM=0.217231,
Hf=-346749.2070652899,
H0=46955.19055751711,
Tlimit=1000,
alow={-691.2557439999999,-62.4550016,4.79667765,-0.000683800494,
1.04394768e-006,-7.4412243e-010,2.172187003e-013},
blow={-10113.49165,5.19645487},
ahigh={-1056014.042,1034.740207,6.73572938,-0.0037840263,1.952196896e-006,-3.34783188e-010,
1.893189803e-014},
bhigh={-19502.33645,-5.06927964},
R_s=R_NASA_2002/BaBr.MM);
constant IdealGases.Common.DataRecord BaBr2(
name="BaBr2",
MM=0.297135,
Hf=-1388307.473034143,
H0=52116.91318760833,
Tlimit=1000,
alow={-5143.37406,-38.7051846,7.16244697,-0.000369671531,4.68971527e-007,-3.107902475e-010,
8.36358205e-014},
blow={-51533.1826,0.9741407000000001},
ahigh={-8928.25121,-0.753655889,7.00065821,-2.94982171e-007,
7.092392109999999e-011,-8.670038099999999e-015,4.22174231e-019},
bhigh={-51726.6949,1.910185706},
R_s=R_NASA_2002/BaBr2.MM);
constant IdealGases.Common.DataRecord BaCL(
name="BaCL",
MM=0.17278,
Hf=-788811.6738048386,
H0=57165.86989234866,
Tlimit=1000,
alow={-2661.946867,-77.2499634,4.74610605,-0.000352354888,3.99919835e-007,-1.936413749e-010,
4.124048529999999e-014},
blow={-17363.28141,3.904455084},
ahigh={-1075410.089,1209.303069,6.2725586,-0.00328811031,1.717751087e-006,-2.910607065e-010,
1.632658438e-014},
bhigh={-27791.73737,-3.574185216},
R_s=R_NASA_2002/BaCL.MM);
constant IdealGases.Common.DataRecord BaCLplus(
name="BaCLplus",
MM=0.1727794514,
Hf=2018166.090785492,
H0=55957.05925479053,
Tlimit=1000,
alow={-895.155669,-133.4692684,4.93541612,-0.000757405451,8.355724e-007,-4.68525851e-010,
1.095343103e-013},
blow={41251.5599,1.896278378},
ahigh={-18291.98157,-2.931616688,4.50228071,3.67178849e-005,
2.396147871e-009,5.4794586e-014,1.174342316e-018},
bhigh={40551.00150000001,4.503765564},
R_s=R_NASA_2002/BaCLplus.MM);
constant IdealGases.Common.DataRecord BaCL2(
name="BaCL2",
MM=0.208233,
Hf=-2397801.438772913,
H0=70109.50713863796,
Tlimit=1000,
alow={-1157.501999,-205.4518828,7.83751405,-0.001867700704,2.335378734e-006,
-1.531373341e-009,4.08852509e-013},
blow={-61156.6528,-5.978149218},
ahigh={-22165.98768,-4.00248381,7.00342674,-1.515820808e-006,
3.61184921e-010,-4.38675906e-014,2.125803293e-018},
bhigh={-62190.9527,-1.132439694},
R_s=R_NASA_2002/BaCL2.MM);
constant IdealGases.Common.DataRecord BaF(
name="BaF",
MM=0.1563254032,
Hf=-2040575.501295109,
H0=59760.67746358449,
Tlimit=1000,
alow={25303.17292,-471.69951,6.18503622,-0.0033666788,
4.011834559999999e-006,-2.506578601e-009,6.47725816e-013},
blow={-37318.7214,-6.22071538},
ahigh={1868380.434,-7071.099600000001,14.66959284,-0.0069959502,
2.366313845e-006,-3.2877343e-010,1.647896238e-014},
bhigh={3571.78068,-66.6239092},
R_s=R_NASA_2002/BaF.MM);
constant IdealGases.Common.DataRecord BaFplus(
name="BaFplus",
MM=0.1563248546,
Hf=857593.7226555399,
H0=58862.77024562158,
Tlimit=1000,
alow={28407.19922,-486.357182,5.94605839,-0.002429844077,2.445346729e-006,-1.316757471e-009,
2.97488632e-013},
blow={17306.39076,-5.95120693},
ahigh={-40544.2367,-17.01997704,4.51305534,2.632753508e-005,
2.612088236e-009,-9.502197929999999e-014,6.515176160000001e-018},
bhigh={14744.8657,2.783167711},
R_s=R_NASA_2002/BaFplus.MM);
constant IdealGases.Common.DataRecord BaF2(
name="BaF2",
MM=0.1753238064,
Hf=-4631450.227286418,
H0=76641.14346994921,
Tlimit=1000,
alow={34883.9552,-764.845956,9.79775038,-0.00575645751,6.7756038e-006,-4.24361475e-009,
1.093687692e-012},
blow={-95903.56449999999,-20.82035292},
ahigh={-55086.3366,-16.91114228,7.01356488,-5.73190977e-006,
1.321203959e-009,-1.565528167e-013,7.444983019999999e-018},
bhigh={-99835.29700000001,-4.38958149},
R_s=R_NASA_2002/BaF2.MM);
constant IdealGases.Common.DataRecord BaH(
name="BaH",
MM=0.13833494,
Hf=1514694.010059932,
H0=63115.68863224288,
Tlimit=1000,
alow={-37652.6888,698.668012,-1.313524351,0.01460648882,-1.802974829e-005,
1.133031115e-008,-2.865589059e-012},
blow={20974.78889,32.308026},
ahigh={-6755466.57,17307.00212,-11.36812458,0.00561774474,-3.18078885e-007,
-1.052342502e-010,1.111101879e-014},
bhigh={-89540.70379999999,118.2377538},
R_s=R_NASA_2002/BaH.MM);
constant IdealGases.Common.DataRecord BaI(
name="BaI",
MM=0.26423147,
Hf=-38745.10102827645,
H0=39348.54920952451,
Tlimit=1000,
alow={-4186.28554,10.33094613,4.42890023,0.0003026019976,-2.591429408e-007,
1.7416054e-010,-3.370062760000001e-014},
blow={-2636.169733,8.201924679999999},
ahigh={-3533859.66,7394.258,1.285151488,-0.002303429302,2.214839289e-006,-4.68109681e-010,
3.011371472e-014},
bhigh={-53402.2959,37.1044387},
R_s=R_NASA_2002/BaI.MM);
constant IdealGases.Common.DataRecord BaI2(
name="BaI2",
MM=0.39113594,
Hf=-737441.7318950542,
H0=40370.70845496836,
Tlimit=1000,
alow={-4241.592729999999,-18.62214382,7.07855675,-0.0001793922821,
2.281437677e-007,-1.514647881e-010,4.08149836e-014},
blow={-36703.5149,3.16313897},
ahigh={-6048.2248,-0.362272945,7.00031745,-1.425793502e-007,3.43334942e-011,
-4.201754979999999e-015,2.047703474e-019},
bhigh={-36796.5075,3.61547532},
R_s=R_NASA_2002/BaI2.MM);
constant IdealGases.Common.DataRecord BaO(
name="BaO",
MM=0.1533264,
Hf=-769263.4275636812,
H0=58790.31921443405,
Tlimit=1000,
alow={37643.985,-507.15553,5.39284728,-0.000411932469,-6.52789662e-007,
9.430588419999999e-010,-3.43660303e-013},
blow={-12755.52614,-3.75221376},
ahigh={13184816.98,-38542.5325,46.8674161,-0.02188646633,
5.335677450000001e-006,-5.1523043e-010,1.4330834e-014},
bhigh={230690.2396,-302.8332772},
R_s=R_NASA_2002/BaO.MM);
constant IdealGases.Common.DataRecord BaOplus(
name="BaOplus",
MM=0.1533258514,
Hf=3337367.321477009,
H0=61762.48762705387,
Tlimit=1000,
alow={356641.097,-3779.24671,16.73544137,-0.0130661161,2.686157445e-006,
4.044077950000001e-009,-2.016508813e-012},
blow={79832.68490000001,-72.8511855},
ahigh={-331767.923,1594.253495,3.22724781,0.00057226415,-1.147415658e-007,
1.382873231e-011,-6.38443703e-016},
bhigh={50252.4761,14.09092365},
R_s=R_NASA_2002/BaOplus.MM);
constant IdealGases.Common.DataRecord BaOH(
name="BaOH",
MM=0.15433434,
Hf=-1453056.481143471,
H0=72728.99213486773,
Tlimit=1000,
alow={37762.3151,-889.139022,9.531718,-0.0054588259,4.94178301e-006,-1.809327537e-009,
2.050048305e-013},
blow={-24418.52965,-24.89410158},
ahigh={2637336.694,-8365.410400000001,15.99803975,-0.005098446049999999,
1.594657431e-006,-2.180478542e-010,1.084610688e-014},
bhigh={23935.50647,-74.9070579},
R_s=R_NASA_2002/BaOH.MM);
constant IdealGases.Common.DataRecord BaOHplus(
name="BaOHplus",
MM=0.1543337914,
Hf=1308976.544717996,
H0=73237.2340332462,
Tlimit=1000,
alow={27976.32165,-768.07694,9.05297844,-0.0043685779,3.52349726e-006,-8.38636087e-010,
-6.47545747e-014},
blow={26232.80802,-22.64561641},
ahigh={876673.843,-2335.8196,7.97316606,0.0001038679898,-6.31948578e-008,
1.028729445e-011,-5.74180857e-016},
bhigh={37725.1747,-19.30805001},
R_s=R_NASA_2002/BaOHplus.MM);
constant IdealGases.Common.DataRecord Ba_OH_2(
name="Ba_OH_2",
MM=0.17134168,
Hf=-3540682.407222807,
H0=101485.6688693609,
Tlimit=1000,
alow={57028.149,-1577.384797,16.59935325,-0.01039598275,
9.664889600000001e-006,-3.67362144e-009,4.62578499e-013},
blow={-68351.58899999999,-58.51911699999999},
ahigh={1762908.112,-4676.205419999999,13.95135494,0.0002051842928,-1.25726553e-007,
2.048917625e-011,-1.144045777e-015},
bhigh={-45459.6441,-49.2945719},
R_s=R_NASA_2002/Ba_OH_2.MM);
constant IdealGases.Common.DataRecord BaS(
name="BaS",
MM=0.169392,
Hf=229475.5065174271,
H0=56414.20492112969,
Tlimit=1000,
alow={13770.75147,-329.350056,5.81154584,-0.00284897376,3.57633602e-006,-2.325649347e-009,
6.17280531e-013},
blow={4964.43245,-3.497962615},
ahigh={6104262.07,-22276.17479,35.9751351,-0.0215779374,7.31987235e-006,-1.089038636e-009,
5.88410195e-014},
bhigh={140413.8006,-214.1776331},
R_s=R_NASA_2002/BaS.MM);
constant IdealGases.Common.DataRecord Ba2(
name="Ba2",
MM=0.274654,
Hf=1296046.432966569,
H0=41357.9885965615,
Tlimit=1000,
alow={-12941.77083,-727.633008,14.64866569,-0.0396633165,5.89871106e-005,-4.23530056e-008,
1.189594362e-011},
blow={43867.1223,-41.4567367},
ahigh={216011.4547,195.0676877,2.253699771,0.0001507750613,-4.742515e-008,
7.04895196e-012,-3.54744017e-016},
bhigh={41677.6297,23.75906459},
R_s=R_NASA_2002/Ba2.MM);
constant IdealGases.Common.DataRecord Be(
name="Be",
MM=0.009012181999999999,
Hf=35951337.86690061,
H0=687672.3084376237,
Tlimit=1000,
alow={-0.000411290152,5.36496736e-006,2.499999972,7.56920369e-011,-1.097852652e-013,
8.00211024e-017,-2.303022777e-020},
blow={38222.6459,2.146172983},
ahigh={-692628.584,2466.773005,-0.9776613340000001,0.002458939515,-9.047950419999999e-007,
1.587880407e-010,-9.415600603e-015},
bhigh={23002.12917,26.23234754},
R_s=R_NASA_2002/Be.MM);
constant IdealGases.Common.DataRecord Beplus(
name="Beplus",
MM=0.0090116334,
Hf=136457096.4460228,
H0=687714.1717726777,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={147152.8569,2.839228698},
ahigh={-94781.35979999999,276.8325398,2.191388413,0.0001648824289,-4.28016682e-008,
4.54235047e-012,-6.270417825e-017},
bhigh={145385.0986,5.05550384},
R_s=R_NASA_2002/Beplus.MM);
constant IdealGases.Common.DataRecord Beplusplus(
name="Beplusplus",
MM=0.009011084800000001,
Hf=332146638.7709501,
H0=687756.0402050593,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={359227.916,2.145990203},
ahigh={0,0,2.5,0,0,0,0},
bhigh={359227.916,2.145990203},
R_s=R_NASA_2002/Beplusplus.MM);
constant IdealGases.Common.DataRecord BeBr(
name="BeBr",
MM=0.08891618200000001,
Hf=1489563.598221075,
H0=100893.9857539092,
Tlimit=1000,
alow={37462.8806,-472.233907,5.03940904,0.0005798853219999999,-1.937634343e-006,
1.793372625e-009,-5.67229558e-013},
blow={17231.35679,-2.573912886},
ahigh={821723.8139999999,-2850.509348,8.017266019999999,-0.002105663212,
6.84913634e-007,-9.98912932e-011,5.192456840000001e-015},
bhigh={32293.7287,-23.26810811},
R_s=R_NASA_2002/BeBr.MM);
constant IdealGases.Common.DataRecord BeBr2(
name="BeBr2",
MM=0.168820182,
Hf=-1386460.411469051,
H0=76042.45445014389,
Tlimit=1000,
alow={-21186.98678,209.0382611,3.73117131,0.01115501549,-1.542821761e-005,
1.052354444e-008,-2.850006057e-012},
blow={-30904.56277,9.458917720000001},
ahigh={-104133.1811,-154.3443092,7.61446541,-4.55670063e-005,
1.003180548e-008,-1.146879501e-012,5.30179538e-017},
bhigh={-29845.27608,-11.4936098},
R_s=R_NASA_2002/BeBr2.MM);
constant IdealGases.Common.DataRecord BeCL(
name="BeCL",
MM=0.044465182,
Hf=1274999.998875525,
H0=199281.9235508808,
Tlimit=1000,
alow={20161.38947,-141.3988978,2.898223773,0.00606992551,-9.162038470000001e-006,
6.61262066e-009,-1.859126853e-012},
blow={6626.691440000001,7.90018105},
ahigh={280884.5146,-1103.100122,5.67118983,-0.0005443000450000001,
1.459036606e-007,-1.230971735e-011,9.90080476e-017},
bhigh={12246.49804,-8.38237137},
R_s=R_NASA_2002/BeCL.MM);
constant IdealGases.Common.DataRecord BeCL2(
name="BeCL2",
MM=0.079918182,
Hf=-4523865.920773824,
H0=151165.3505831752,
Tlimit=1000,
alow={-22299.57657,152.8781667,3.71499471,0.0106777655,-1.397766942e-005,
9.066693559999998e-009,-2.350292311e-012},
blow={-45904.2823,6.682555572},
ahigh={-115408.746,-248.4300053,7.68567214,-7.44496037e-005,
1.649479787e-008,-1.895997075e-012,8.804973950000001e-017},
bhigh={-44687.4728,-15.00337407},
R_s=R_NASA_2002/BeCL2.MM);
constant IdealGases.Common.DataRecord BeF(
name="BeF",
MM=0.0280105852,
Hf=-6091439.853245195,
H0=310993.3240523657,
Tlimit=1000,
alow={-46644.9723,788.717885,-1.463363201,0.01381790494,-1.591299964e-005,
9.35293152e-009,-2.229211181e-012},
blow={-25226.27476,31.976343},
ahigh={-185794.1543,47.76082770000001,4.26998602,0.0002310668473,-6.657214920000001e-008,
1.152149888e-011,-6.33558644e-016},
bhigh={-22579.5096,-0.218478727},
R_s=R_NASA_2002/BeF.MM);
constant IdealGases.Common.DataRecord BeF2(
name="BeF2",
MM=0.0470089884,
Hf=-16945445.18213883,
H0=231440.0792338684,
Tlimit=1000,
alow={7490.27024,-287.8053102,5.43471282,0.00390323346,-2.214865601e-006,-1.965806119e-010,
4.04236227e-013},
blow={-95916.15640000001,-5.61661692},
ahigh={-64820.1807,-768.455606,8.062860840000001,-0.0002227502549,
4.89159866e-008,-5.58788672e-012,2.583409761e-016},
bhigh={-93954.9549,-21.25660266},
R_s=R_NASA_2002/BeF2.MM);
constant IdealGases.Common.DataRecord BeH(
name="BeH",
MM=0.010020122,
Hf=34156480.72947615,
H0=863073.7230544697,
Tlimit=1000,
alow={-1615.149125,-59.3528608,4.5072691,-0.00526418961,1.145319967e-005,-9.247883590000001e-009,
2.700364753e-012},
blow={40301.93040000001,-3.48511705},
ahigh={-2424081.636,6597.39846,-3.62631648,0.00457963435,-1.163329056e-006,
1.297785691e-010,-5.29188581e-015},
bhigh={-2489.846221,52.1601869},
R_s=R_NASA_2002/BeH.MM);
constant IdealGases.Common.DataRecord BeHplus(
name="BeHplus",
MM=0.0100195734,
Hf=117591728.1069072,
H0=862706.4900787092,
Tlimit=1000,
alow={-32206.1102,252.0229596,3.20771957,-0.00219128729,6.90253449e-006,-5.76952263e-009,
1.656414969e-012},
blow={139253.066,3.30704477},
ahigh={462234.1589999999,-1760.169629,5.37990555,2.742462444e-005,-1.16720817e-007,
3.55717791e-011,-2.569695765e-015},
bhigh={151585.9734,-13.69222641},
R_s=R_NASA_2002/BeHplus.MM);
constant IdealGases.Common.DataRecord BeH2(
name="BeH2",
MM=0.011028062,
Hf=14608088.25703011,
H0=835967.6432722267,
Tlimit=1000,
alow={90653.14900000001,-1320.65722,9.90130806,-0.01255772231,
2.205704068e-005,-1.633609388e-008,4.50510324e-012},
blow={24645.61869,-36.3582675},
ahigh={607426.201,-3407.53425,9.79237036,-0.000825461482,1.915656246e-007,-1.962774813e-011,
8.929908660000001e-016},
bhigh={37931.052,-42.5465358},
R_s=R_NASA_2002/BeH2.MM);
constant IdealGases.Common.DataRecord BeI(
name="BeI",
MM=0.135916652,
Hf=1526334.749622879,
H0=66872.66693414432,
Tlimit=1000,
alow={35300.5481,-519.095026,5.71450524,-0.00140907364,7.66477212e-007,-2.601945105e-011,
-8.230960639999999e-014},
blow={26379.03657,-5.14099784},
ahigh={-532820.662,1139.497861,3.62917166,0.0001704033769,1.067048688e-007,
-3.58945788e-011,2.72276956e-015},
bhigh={15854.74307,9.370951270000001},
R_s=R_NASA_2002/BeI.MM);
constant IdealGases.Common.DataRecord BeI2(
name="BeI2",
MM=0.262821122,
Hf=-246401.2424389543,
H0=51139.53131970877,
Tlimit=1000,
alow={359.272618,-48.6605901,5.24157118,0.007830305059999999,-1.169525374e-005,
8.389583910000001e-009,-2.356636003e-012},
blow={-9333.22092,2.896318281},
ahigh={-93923.72840000001,-89.5921438,7.56555479,-2.577727326e-005,
5.61426533e-009,-6.35966385e-013,2.917080336e-017},
bhigh={-9814.768620000001,-9.03204281},
R_s=R_NASA_2002/BeI2.MM);
constant IdealGases.Common.DataRecord BeN(
name="BeN",
MM=0.023018882,
Hf=18549988.65713808,
H0=379046.2542881101,
Tlimit=1000,
alow={-42477.8363,759.0188900000001,-1.561469235,0.01496945721,-1.83560888e-005,
1.146861461e-008,-2.897470581e-012},
blow={46830.0332,32.56973759},
ahigh={-59096.9616,-307.8649431,4.72795915,-3.92815883e-005,
2.006201069e-008,-2.300018068e-012,1.066101831e-016},
bhigh={51560.9571,-3.031380625},
R_s=R_NASA_2002/BeN.MM);
constant IdealGases.Common.DataRecord BeO(
name="BeO",
MM=0.025011582,
Hf=5155223.847895747,
H0=347363.2335611557,
Tlimit=1000,
alow={-48694.58319999999,721.347362,-0.378415732,0.008792203849999999,-7.07015126e-006,
2.25017562e-009,-2.799117872e-014},
blow={11014.66639,25.74081184},
ahigh={-35034724.5,105585.9473,-116.5011722,0.0647736948,-1.649656058e-005,
2.0055584e-009,-9.426891790000001e-014},
bhigh={-657001.8000000001,864.0898030000001},
R_s=R_NASA_2002/BeO.MM);
constant IdealGases.Common.DataRecord BeOH(
name="BeOH",
MM=0.026019522,
Hf=-3832419.404168916,
H0=415013.38879323,
Tlimit=1000,
alow={-38530.2452,449.8059289999999,1.532096459,0.01299912603,-1.708979996e-005,
1.169968182e-008,-3.16318371e-012},
blow={-15590.46567,15.4554293},
ahigh={855033.031,-2646.537838,8.204784630000001,1.110814513e-005,-4.265364e-008,
7.926511920000001e-012,-4.64541952e-016},
bhigh={3121.216271,-25.71641308},
R_s=R_NASA_2002/BeOH.MM);
constant IdealGases.Common.DataRecord BeOHplus(
name="BeOHplus",
MM=0.0260189734,
Hf=29208835.73369579,
H0=367074.5902680389,
Tlimit=1000,
alow={71061.19160000001,-806.8981600000001,5.60310781,0.004932070859999999,
-7.722847159999999e-006,5.910889809999999e-009,-1.695201901e-012},
blow={94407.8242,-10.88099852},
ahigh={813487.439,-2814.653683,8.381145009999999,-6.94207328e-005,-2.369535806e-008,
5.67810638e-012,-3.58325356e-016},
bhigh={107312.9932,-29.01093335},
R_s=R_NASA_2002/BeOHplus.MM);
constant IdealGases.Common.DataRecord Be_OH_2(
name="Be_OH_2",
MM=0.043026862,
Hf=-14848036.46614991,
H0=353868.6600012801,
Tlimit=1000,
alow={7863.08983,-739.7142249999999,10.43303334,0.00451424953,-6.95060153e-006,
5.77703004e-009,-1.727199382e-012},
blow={-75856.7696,-33.0146661},
ahigh={1722889.403,-5242.47719,14.86877785,3.93149836e-005,-8.92027631e-008,
1.630912925e-011,-9.505371139999999e-016},
bhigh={-46428.2384,-64.7680402},
R_s=R_NASA_2002/Be_OH_2.MM);
constant IdealGases.Common.DataRecord BeS(
name="BeS",
MM=0.041077182,
Hf=6015390.880513663,
H0=213746.5515526357,
Tlimit=1000,
alow={-7390.57908,282.8134792,0.65520194,0.01076012495,-1.398380157e-005,
8.81841889e-009,-2.110588578e-012},
blow={27515.93294,19.80493561},
ahigh={-16557083.61,54314.6612,-63.5185925,0.0396409199,-1.078978696e-005,
1.394030343e-009,-6.93695504e-014},
bhigh={-312155.9628,480.3454935},
R_s=R_NASA_2002/BeS.MM);
constant IdealGases.Common.DataRecord Be2(
name="Be2",
MM=0.018024364,
Hf=35371196.34290564,
H0=545823.3089389452,
Tlimit=1000,
alow={-158087.381,2035.567774,-3.69158063,0.01028818435,-9.60385451e-006,
4.707519419999999e-009,-9.374688790000001e-013},
blow={65269.68369999999,48.7932499},
ahigh={101003.4484,141.4207488,2.292070182,0.0001543331824,-5.801043e-008,
1.003129697e-011,-5.68281834e-016},
bhigh={75501.3973,12.38758616},
R_s=R_NASA_2002/Be2.MM);
constant IdealGases.Common.DataRecord Be2CL4(
name="Be2CL4",
MM=0.159836364,
Hf=-5127775.385330963,
H0=141653.5225989,
Tlimit=1000,
alow={121615.2589,-2000.824823,17.23384275,0.00581044828,-1.362970089e-005,
1.156602362e-008,-3.5522558e-012},
blow={-92064.75470000001,-61.37959773999999},
ahigh={-335492.008,-231.6199283,16.17047912,-6.73440595e-005,
1.472073032e-008,-1.672352806e-012,7.68877397e-017},
bhigh={-103107.5197,-50.47009374},
R_s=R_NASA_2002/Be2CL4.MM);
constant IdealGases.Common.DataRecord Be2F4(
name="Be2F4",
MM=0.0940179768,
Hf=-18418816.28322808,
H0=210965.0587588479,
Tlimit=1000,
alow={-6327.70187,-69.0253372,5.47093723,0.03097341347,-4.09431006e-005,
2.668113685e-008,-6.942909560000001e-012},
blow={-210597.9269,-0.2073546195},
ahigh={-368183.495,-943.919148,16.70099855,-0.0002797974015,
6.178061719999999e-008,-7.08308019e-012,3.28279104e-016},
bhigh={-208904.5725,-60.9266576},
R_s=R_NASA_2002/Be2F4.MM);
constant IdealGases.Common.DataRecord Be2O(
name="Be2O",
MM=0.034023764,
Hf=-1088468.724389224,
H0=328899.1188629218,
Tlimit=1000,
alow={-426.367357,-115.9556261,4.08267777,0.01015885064,-1.326015538e-005,
8.48895536e-009,-2.168039077e-012},
blow={-5362.25812,1.253737886},
ahigh={-141264.6378,-349.864459,7.76093268,-0.0001044953518,
2.313342334e-008,-2.657722263e-012,1.233820439e-016},
bhigh={-5172.38549,-18.54887619},
R_s=R_NASA_2002/Be2O.MM);
constant IdealGases.Common.DataRecord Be2OF2(
name="Be2OF2",
MM=0.0720205704,
Hf=-16725415.99309522,
H0=230279.6813172699,
Tlimit=1000,
alow={-27834.91921,178.2881461,4.09425136,0.02270142496,-2.672688189e-005,
1.572575618e-008,-3.73607058e-012},
blow={-148008.1903,7.35349477},
ahigh={-228182.6506,-1130.355396,13.83400563,-0.000331608064,
7.30492101e-008,-8.36270438e-012,3.87218498e-016},
bhigh={-143139.0587,-47.3915023},
R_s=R_NASA_2002/Be2OF2.MM);
constant IdealGases.Common.DataRecord Be2O2(
name="Be2O2",
MM=0.050023164,
Hf=-8228893.898034918,
H0=218477.4237791116,
Tlimit=1000,
alow={-30317.1953,1163.353177,-8.73315595,0.0537200293,-7.27943919e-005,
4.89492825e-008,-1.312147056e-011},
blow={-55469.3688,69.53282640000001},
ahigh={-396057.6640000001,-907.4948830000001,10.67160422,-0.0002670905218,
5.87762999e-008,-6.71866409e-012,3.105949075e-016},
bhigh={-48611.1433,-36.1654689},
R_s=R_NASA_2002/Be2O2.MM);
constant IdealGases.Common.DataRecord Be3O3(
name="Be3O3",
MM=0.075034746,
Hf=-13643287.71100258,
H0=201583.0506043161,
Tlimit=1000,
alow={-27380.72346,874.38326,-6.59960612,0.0653302114,-8.762305740000001e-005,
5.81724479e-008,-1.5406005e-011},
blow={-128467.9012,58.3720312},
ahigh={-589080.936,-1392.823588,17.03450699,-0.000412733074,9.10752915e-008,
-1.043465231e-011,4.83305377e-016},
bhigh={-121904.5534,-70.0061451},
R_s=R_NASA_2002/Be3O3.MM);
constant IdealGases.Common.DataRecord Be4O4(
name="Be4O4",
MM=0.100046328,
Hf=-16485308.50627521,
H0=158265.6686810135,
Tlimit=1000,
alow={-68932.5564,1687.565069,-14.79616594,0.1007319774,-0.0001291057622,
8.243136760000001e-008,-2.111283987e-011},
blow={-207287.7151,100.2507262},
ahigh={-884133.8459999999,-2726.394165,24.02941774,-0.0008114675460000001,
1.794255972e-007,-2.059359498e-011,9.552905330000001e-016},
bhigh={-192371.0587,-113.662075},
R_s=R_NASA_2002/Be4O4.MM);
constant IdealGases.Common.DataRecord Br(
name="Br",
MM=0.079904,
Hf=1400055.066079295,
H0=77560.92310772926,
Tlimit=1000,
alow={-3700.29391,61.4521542,2.092120721,0.00137681887,-2.445566658e-006,
2.050975161e-009,-5.144249091e-013},
blow={12425.08647,8.996166199999999},
ahigh={-4789717.399999999,16920.51999,-20.24085357,0.01395620355,-3.65623056e-006,
4.489781e-010,-2.122507526e-014},
bhigh={-92070.54960000001,166.1695929},
R_s=R_NASA_2002/Br.MM);
constant IdealGases.Common.DataRecord Brplus(
name="Brplus",
MM=0.07990345139999999,
Hf=15743087.58832913,
H0=77561.53071505495,
Tlimit=1000,
alow={39811.8742,-475.158147,4.73457898,-0.00516932479,5.90585752e-006,-2.885129283e-009,
5.054894290000001e-013},
blow={152905.2046,-5.76928322},
ahigh={1741149.829,-5455.46567,8.470663350000001,-0.002683465574,
6.59045456e-007,-7.9537703e-011,3.735898818e-015},
bhigh={185178.1643,-36.3790903},
R_s=R_NASA_2002/Brplus.MM);
constant IdealGases.Common.DataRecord Brminus(
name="Brminus",
MM=0.0799045486,
Hf=-2740776.036371977,
H0=77560.39059833948,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={-27084.92743,5.41955617},
ahigh={0,0,2.5,0,0,0,0},
bhigh={-27084.92743,5.41955617},
R_s=R_NASA_2002/Brminus.MM);
constant IdealGases.Common.DataRecord BrCL(
name="BrCL",
MM=0.115357,
Hf=128202.9959170228,
H0=81547.82978059414,
Tlimit=1000,
alow={16532.91583,-357.876928,5.70062216,-0.002201257188,2.415146969e-006,-1.371032976e-009,
3.22780342e-013},
blow={2252.619279,-4.155659669},
ahigh={-128486.3067,-1138.379626,7.9640408,-0.00343805667,1.524999514e-006,
-2.761469114e-010,1.694450407e-014},
bhigh={5938.264260000001,-19.25044389},
R_s=R_NASA_2002/BrCL.MM);
constant IdealGases.Common.DataRecord BrF(
name="BrF",
MM=0.09890240319999999,
Hf=-595045.6520352784,
H0=91212.22243465163,
Tlimit=1000,
alow={38361.4319,-518.461197,5.45832705,-0.00056568431,-4.12131197e-007,
7.85991348e-010,-3.03616152e-013},
blow={-5595.53991,-4.9011295},
ahigh={3771388.47,-12674.9343,20.8055593,-0.0102635936,3.30820359e-006,-4.90319225e-010,
2.64827508e-014},
bhigh={70626.0972,-113.02536},
R_s=R_NASA_2002/BrF.MM);
constant IdealGases.Common.DataRecord BrF3(
name="BrF3",
MM=0.1368992096,
Hf=-1867067.025053153,
H0=107463.1478369032,
Tlimit=1000,
alow={111645.5127,-1959.42433,15.26220126,-0.0079993623,6.98203026e-006,-3.24275796e-009,
6.16475146e-013},
blow={-23453.41551,-55.226336},
ahigh={-188653.224,-82.45232970000001,10.06180694,-2.477319092e-005,
5.47857686e-009,-6.28265526e-013,2.910628214e-017},
bhigh={-33868.0037,-22.98937369},
R_s=R_NASA_2002/BrF3.MM);
constant IdealGases.Common.DataRecord BrF5(
name="BrF5",
MM=0.174896016,
Hf=-2451742.525684519,
H0=109633.9610160131,
Tlimit=1000,
alow={221136.6805,-4024.80922,27.34900212,-0.01832254979,1.721754649e-005,-8.75350863e-009,
1.860196959e-012},
blow={-35374.4767,-124.4296466},
ahigh={-375764.764,-157.5896472,16.11869838,-4.776497799999999e-005,
1.059755365e-008,-1.218527723e-012,5.65753545e-017},
bhigh={-56672.66800000001,-55.4083931},
R_s=R_NASA_2002/BrF5.MM);
constant IdealGases.Common.DataRecord BrO(
name="BrO",
MM=0.0959034,
Hf=1311736.601622049,
H0=94480.48765737189,
Tlimit=1000,
alow={14554.31116,122.5152439,-0.3058728672,0.02117309202,-3.49426119e-005,
2.622639719e-008,-7.50805954e-012},
blow={13891.49932,25.27867438},
ahigh={-2392612.795,6932.79313,-2.513183892,0.00344654456,-7.569536839999999e-007,
6.51429134e-011,-1.715768736e-015},
bhigh={-30844.99064,53.6104836},
R_s=R_NASA_2002/BrO.MM);
constant IdealGases.Common.DataRecord OBrO(
name="OBrO",
MM=0.1119028,
Hf=1357915.31579192,
H0=101826.1383986817,
Tlimit=1000,
alow={34702.13230000001,-340.134182,3.93225162,0.01215938586,-1.901501702e-005,
1.398631495e-008,-3.99289976e-012},
blow={18759.55788,6.36123518},
ahigh={-162450.466,-145.3689372,7.10582213,-4.14136207e-005,
8.981833259999999e-009,-1.013712869e-012,4.63513314e-017},
bhigh={16500.75386,-9.11181792},
R_s=R_NASA_2002/OBrO.MM);
constant IdealGases.Common.DataRecord BrOO(
name="BrOO",
MM=0.1119028,
Hf=965123.3034383413,
H0=114837.6984311385,
Tlimit=1000,
alow={-44176.199,495.963716,3.23988495,0.00594150211,-3.40269677e-006,-3.44477816e-011,
4.81195795e-013},
blow={8815.22198,16.07446878},
ahigh={6172.483480000001,-658.504966,7.48395533,-0.0001920530746,
4.22694617e-008,-4.83739261e-012,2.23974132e-016},
bhigh={14603.5347,-9.85038024},
R_s=R_NASA_2002/BrOO.MM);
constant IdealGases.Common.DataRecord BrO3(
name="BrO3",
MM=0.1279022,
Hf=1726480.740753482,
H0=102428.5821510498,
Tlimit=1000,
alow={106390.1881,-1501.928813,9.70365743,0.00813300076,-1.531857845e-005,
1.199117619e-008,-3.51274787e-012},
blow={32331.3599,-27.3512543},
ahigh={-282285.1113,-235.8973461,10.17525279,-6.97845105e-005,
1.535701661e-008,-1.75445495e-012,8.10410015e-017},
bhigh={24011.4014,-25.88197197},
R_s=R_NASA_2002/BrO3.MM);
constant IdealGases.Common.DataRecord Br2(
name="Br2",
MM=0.159808,
Hf=193419.6035242291,
H0=60855.00725871045,
Tlimit=1000,
alow={7497.04754,-235.0884557,5.49193432,-0.002227573303,2.932401703e-006,-1.954889514e-009,
5.31230789e-013},
blow={3521.47505,-1.96415157},
ahigh={-4311698.57,11112.68634,-5.55577561,0.00363051659,-2.754164226e-007,
-6.21750676e-011,7.37534162e-015},
bhigh={-70365.8416,78.7847802},
R_s=R_NASA_2002/Br2.MM);
constant IdealGases.Common.DataRecord BrBrO(
name="BrBrO",
MM=0.1758074,
Hf=955591.1753430174,
H0=74726.64973146751,
Tlimit=1000,
alow={16174.98037,-246.4406776,5.91285845,0.00498035428,-8.09995825e-006,
6.072776260000001e-009,-1.753715313e-012},
blow={19740.12093,2.009704963},
ahigh={-85371.0175,-64.8704607,7.04715935,-1.843088186e-005,3.99226786e-009,
-4.50068795e-013,2.055867395e-017},
bhigh={18215.66655,-3.162186125},
R_s=R_NASA_2002/BrBrO.MM);
constant IdealGases.Common.DataRecord BrOBr(
name="BrOBr",
MM=0.1758074,
Hf=612255.2634303221,
H0=70526.37147241812,
Tlimit=1000,
alow={64050.6891,-1062.722566,9.907866289999999,-0.00447049247,
3.91370107e-006,-1.805444867e-009,3.36613255e-013},
blow={16429.21537,-23.50319399},
ahigh={-96866.60249999999,-39.5739527,7.02943438,-1.171881908e-005,
2.576958549e-009,-2.941186078e-013,1.357198784e-017},
bhigh={10769.42321,-5.69777938},
R_s=R_NASA_2002/BrOBr.MM);
constant IdealGases.Common.DataRecord C(
name="C",
MM=0.0120107,
Hf=59670127.46967287,
H0=544172.696012722,
Tlimit=1000,
alow={649.503147,-0.964901086,2.504675479,-1.281448025e-005,
1.980133654e-008,-1.606144025e-011,5.314483411e-015},
blow={85457.6311,4.747924288},
ahigh={-128913.6472,171.9528572,2.646044387,-0.000335306895,1.74209274e-007,
-2.902817829e-011,1.642182385e-015},
bhigh={84105.9785,4.130047418},
R_s=R_NASA_2002/C.MM);
constant IdealGases.Common.DataRecord Cplus(
name="Cplus",
MM=0.0120101514,
Hf=150659589.6867712,
H0=553638.482858759,
Tlimit=1000,
alow={2258.535929,-1.574575687,2.50363773,-5.20287837e-006,4.51690839e-009,
-2.181431053e-012,4.495047033e-016},
blow={216895.1913,4.345699505},
ahigh={12551.12551,-34.1187467,2.543383218,-2.805120849e-005,
9.751641969999999e-009,-1.736855394e-012,1.246191931e-016},
bhigh={217100.1786,4.063913515},
R_s=R_NASA_2002/Cplus.MM);
constant IdealGases.Common.DataRecord Cminus(
name="Cminus",
MM=0.0120112486,
Hf=48980273.04172191,
H0=517751.0021730797,
Tlimit=1000,
alow={4.67129153,-0.001986169369,2.500008638,-1.976750928e-008,
2.478947477e-011,-1.610664044e-014,4.23650681e-018},
blow={70012.18549999999,4.879570141},
ahigh={4.25317572,0.0005778186479999999,2.499999424,2.836136231e-010,-7.32725342e-014,
9.478507810000001e-018,-4.830487319999999e-022},
bhigh={70012.17170000001,4.879624211},
R_s=R_NASA_2002/Cminus.MM);
constant IdealGases.Common.DataRecord CBr(
name="CBr",
MM=0.0919147,
Hf=5335727.756278375,
H0=104609.1212831027,
Tlimit=1000,
alow={4324.44688,-159.6366559,4.85785659,-0.000438943916,4.40886363e-007,-2.281330618e-010,
5.44561822e-014},
blow={58476.7725,0.1351169646},
ahigh={1021862.102,-3243.48436,8.38822656,-0.002242155508,
6.988355369999999e-007,-9.719134370000001e-011,4.71697624e-015},
bhigh={78059.24059999999,-25.18386915},
R_s=R_NASA_2002/CBr.MM);
constant IdealGases.Common.DataRecord CBr2(
name="CBr2",
MM=0.1718187,
Hf=1959177.429464895,
H0=70986.5631622169,
Tlimit=1000,
alow={72481.97839999999,-1128.26123,9.822303379999999,-0.0038727481,
2.904819596e-006,-1.061380159e-009,1.297474642e-013},
blow={44377.71599999999,-23.61121795},
ahigh={-744143.141,421.542783,8.796797740000001,-0.002726562507,
1.336438546e-006,-2.304854483e-010,1.337493953e-014},
bhigh={33646.1814,-15.99565135},
R_s=R_NASA_2002/CBr2.MM);
constant IdealGases.Common.DataRecord CBr3(
name="CBr3",
MM=0.2517227,
Hf=933566.9766771132,
H0=61903.25703641347,
Tlimit=1000,
alow={85635.1626,-1275.764123,11.17190031,0.002341705749,-6.54067141e-006,
5.73671714e-009,-1.777823046e-012},
blow={32432.1589,-27.66468801},
ahigh={-192649.8949,-132.4072178,10.09808665,-3.89504082e-005,
8.55044501e-009,-9.747493679999999e-013,4.49424559e-017},
bhigh={25415.76129,-18.66868947},
R_s=R_NASA_2002/CBr3.MM);
constant IdealGases.Common.DataRecord CBr4(
name="CBr4",
MM=0.3316267000000001,
Hf=239727.3802139574,
H0=61434.48039618039,
Tlimit=1000,
alow={102308.3739,-1735.600709,16.51317914,-0.003147664747,2.924135486e-007,
1.360605681e-009,-6.43175865e-013},
blow={15005.02543,-55.3647676},
ahigh={-205978.5072,-104.8517002,13.0777255,-3.086857556e-005,
6.77530981e-009,-7.72183754e-013,3.55921824e-017},
bhigh={5615.89394,-32.8378763},
R_s=R_NASA_2002/CBr4.MM);
constant IdealGases.Common.DataRecord CCL(
name="CCL",
MM=0.0474637,
Hf=9114566.668843769,
H0=197943.1228496725,
Tlimit=1000,
alow={17070.70049,-14.63803497,2.334108251,0.00720209913,-1.034120045e-005,
7.2281067e-009,-1.985123755e-012},
blow={51233.503,12.00820386},
ahigh={590050.763,-2075.31146,6.88001723,-0.001294796228,3.88313798e-007,-5.00698163e-011,
2.218229619e-015},
bhigh={63589.2205,-16.10664472},
R_s=R_NASA_2002/CCL.MM);
constant IdealGases.Common.DataRecord CCL2(
name="CCL2",
MM=0.08291670000000001,
Hf=2688724.310060578,
H0=137761.8501459899,
Tlimit=1000,
alow={75096.23150000001,-1034.728559,8.061704539999999,0.001487134213,-4.56481711e-006,
3.95488581e-009,-1.166197091e-012},
blow={30524.09293,-17.39691692},
ahigh={-6437455.17,19584.13353,-16.04038625,0.01238833906,-3.013367274e-006,
3.47346892e-010,-1.553272793e-014},
bhigh={-99612.42159999999,155.6949315},
R_s=R_NASA_2002/CCL2.MM);
constant IdealGases.Common.DataRecord CCL2Br2(
name="CCL2Br2",
MM=0.2427247,
Hf=41198.93855054718,
H0=77008.69338802355,
Tlimit=1000,
alow={101849.5619,-1740.854039,15.21338304,0.00112825651,-5.875405490000001e-006,
5.65988697e-009,-1.821576512e-012},
blow={6918.57219,-50.15385818999999},
ahigh={-255334.7012,-159.8005477,13.1186093,-4.717443870000001e-005,
1.036912808e-008,-1.183321687e-012,5.46061269e-017},
bhigh={-2588.63698,-34.61705319},
R_s=R_NASA_2002/CCL2Br2.MM);
constant IdealGases.Common.DataRecord CCL3(
name="CCL3",
MM=0.1183697,
Hf=600897.0200988936,
H0=121652.7540409412,
Tlimit=1000,
alow={34144.7165,-554.796973,6.84554439,0.01242006495,-2.036896881e-005,
1.554979993e-008,-4.56894011e-012},
blow={9388.56882,-7.143598465},
ahigh={-542757.254,680.902062,9.047723619999999,0.0001324277766,
6.30126304e-008,-2.6566392e-011,2.105668053e-015},
bhigh={386.621615,-15.28745849},
R_s=R_NASA_2002/CCL3.MM);
constant IdealGases.Common.DataRecord CCL3Br(
name="CCL3Br",
MM=0.1982737,
Hf=-216871.9300643504,
H0=90705.67099922984,
Tlimit=1000,
alow={104966.8463,-1793.828482,14.89250892,0.00239712831,-7.78961547e-006,
7.01661711e-009,-2.196069746e-012},
blow={910.1349309999999,-50.58348139},
ahigh={-277232.4186,-184.0310333,13.13673812,-5.44391001e-005,
1.197658923e-008,-1.367818632e-012,6.316164790000001e-017},
bhigh={-8895.857689999999,-36.69528209},
R_s=R_NASA_2002/CCL3Br.MM);
constant IdealGases.Common.DataRecord CCL4(
name="CCL4",
MM=0.1538227,
Hf=-621494.746874161,
H0=111547.3333909754,
Tlimit=1000,
alow={109338.5626,-1861.731846,14.49632467,0.00394948516,-1.010805379e-005,
8.64551417e-009,-2.642368852e-012},
blow={-4948.00623,-51.8028475},
ahigh={-304307.8255,-216.8170491,13.16132386,-6.43112489e-005,
1.416482497e-008,-1.61934332e-012,7.48397435e-017},
bhigh={-15123.2007,-39.968443},
R_s=R_NASA_2002/CCL4.MM);
constant IdealGases.Common.DataRecord CF(
name="CF",
MM=0.0310091032,
Hf=7813834.487157951,
H0=292337.0257286254,
Tlimit=1000,
alow={-45827.8668,797.263589,-1.364936319,0.01312359375,-1.457012892e-005,
8.25327668e-009,-1.896351845e-012},
blow={24382.5962,32.4806528},
ahigh={-132980.71,-121.4340891,4.45241362,0.0001293786948,-3.67055059e-008,
6.590212389999999e-012,-3.73126161e-016},
bhigh={28159.34108,-0.664046873},
R_s=R_NASA_2002/CF.MM);
constant IdealGases.Common.DataRecord CFplus(
name="CFplus",
MM=0.0310085546,
Hf=36943485.87921605,
H0=280487.0821034657,
Tlimit=1000,
alow={-59752.132,927.6863649999999,-1.866581982,0.01384340912,-1.51342886e-005,
8.51855634e-009,-1.959577655e-012},
blow={132351.941,34.1201319},
ahigh={-80537.6278,-339.027509,4.7083735,-3.96314831e-005,2.497996218e-008,
-5.23679043e-012,5.31394913e-016},
bhigh={138133.7068,-3.92051473},
R_s=R_NASA_2002/CFplus.MM);
constant IdealGases.Common.DataRecord CFBr3(
name="CFBr3",
MM=0.2707211032,
Hf=-443260.6050343547,
H0=67387.07763953881,
Tlimit=1000,
alow={51492.4428,-936.479664,10.44260886,0.01205370047,-1.876290291e-005,
1.344488618e-008,-3.73054576e-012},
blow={-12432.46293,-23.63948551},
ahigh={-272915.8956,-332.816465,13.24822519,-9.92707754e-005,
2.193640054e-008,-2.515424945e-012,1.165680878e-016},
bhigh={-17301.85479,-36.2681843},
R_s=R_NASA_2002/CFBr3.MM);
constant IdealGases.Common.DataRecord CFCL(
name="CFCL",
MM=0.0664621032,
Hf=388879.8692124447,
H0=164039.0760309253,
Tlimit=1000,
alow={15419.97945,-82.74039809999999,2.501701822,0.01390738086,-1.8957347e-005,
1.261934581e-008,-3.33345382e-012},
blow={2411.755114,13.31517094},
ahigh={-268163.0077,-2.328091539,6.83463383,0.0001565270633,-5.967755160000001e-008,
9.82092446e-012,-5.05889721e-016},
bhigh={301.7669604,-9.005085128999999},
R_s=R_NASA_2002/CFCL.MM);
constant IdealGases.Common.DataRecord CFCLBr2(
name="CFCLBr2",
MM=0.2262701032,
Hf=-773411.9422985264,
H0=77332.45688465308,
Tlimit=1000,
alow={58987.9974,-1050.714861,10.39349401,0.01273690622,-1.999097478e-005,
1.43820423e-008,-4.00013035e-012},
blow={-18377.99602,-24.17479131},
ahigh={-296081.1596,-353.12762,13.26346169,-0.0001053860298,2.32908508e-008,
-2.670979639e-012,1.237844667e-016},
bhigh={-23875.94306,-36.84977271},
R_s=R_NASA_2002/CFCLBr2.MM);
constant IdealGases.Common.DataRecord CFCL2(
name="CFCL2",
MM=0.1019151032,
Hf=-1030269.280049161,
H0=129685.9207811703,
Tlimit=1000,
alow={26113.98792,-335.35659,4.09467308,0.01960244711,-2.762775193e-005,
1.880124302e-008,-5.0474103e-012},
blow={-12512.98871,6.870882561},
ahigh={-265311.8323,-446.972417,10.33334881,-0.0001333673368,
2.948755634e-008,-3.3833062e-012,1.568746348e-016},
bhigh={-13931.60489,-25.56817972},
R_s=R_NASA_2002/CFCL2.MM);
constant IdealGases.Common.DataRecord CFCL2Br(
name="CFCL2Br",
MM=0.1818191032,
Hf=-1292493.450160192,
H0=92017.68519117852,
Tlimit=1000,
alow={65299.59220000001,-1135.235485,10.09526872,0.01401380147,-2.191705096e-005,
1.573404132e-008,-4.36934034e-012},
blow={-25044.88145,-24.51093103},
ahigh={-321545.505,-388.412962,13.28990796,-0.0001160048581,
2.564498787e-008,-2.941639768e-012,1.363542881e-016},
bhigh={-30974.21144,-38.71356695},
R_s=R_NASA_2002/CFCL2Br.MM);
constant IdealGases.Common.DataRecord CFCL3(
name="CFCL3",
MM=0.1373681032,
Hf=-2065253.820873898,
H0=116938.2383959423,
Tlimit=1000,
alow={74001.74000000001,-1252.282466,10.01327229,0.01475107601,-2.315635251e-005,
1.664207025e-008,-4.62292996e-012},
blow={-30205.08601,-27.08387087},
ahigh={-345046.478,-417.782145,13.31196736,-0.0001248759531,
2.761391353e-008,-3.16820764e-012,1.468834601e-016},
bhigh={-36740.6719,-41.56886057000001},
R_s=R_NASA_2002/CFCL3.MM);
constant IdealGases.Common.DataRecord CF2(
name="CF2",
MM=0.0500075064,
Hf=-3731439.806404744,
H0=206987.1654308282,
Tlimit=1000,
alow={-37970.2627,873.1800030000001,-3.46019157,0.02746253741,-3.4746219e-005,
2.204470693e-008,-5.62175085e-012},
blow={-27467.97157,44.5677807},
ahigh={-108642.8547,-585.498914,7.01864895,0.000392918615,-2.603822675e-007,
6.142196389999999e-011,-4.17283326e-015},
bhigh={-21529.45157,-13.56143285},
R_s=R_NASA_2002/CF2.MM);
constant IdealGases.Common.DataRecord CF2plus(
name="CF2plus",
MM=0.0500069578,
Hf=18984184.21686112,
H0=206811.2009805164,
Tlimit=1000,
alow={-28923.73827,604.935461,-0.972186666,0.01808478341,-1.980065782e-005,
1.101640055e-008,-2.500457119e-012},
blow={110275.567,32.4759147},
ahigh={-64889.6607,-1064.283593,7.7857021,-0.0003158347626,
7.130804079999999e-008,-8.53318359e-012,4.25163882e-016},
bhigh={117844.6465,-18.19424707},
R_s=R_NASA_2002/CF2plus.MM);
constant IdealGases.Common.DataRecord CF2Br2(
name="CF2Br2",
MM=0.2098155064,
Hf=-1811114.948175251,
H0=77591.96295512693,
Tlimit=1000,
alow={12614.04028,-281.5725114,5.09803213,0.02502548939,-3.43885319e-005,
2.297615553e-008,-6.08016143e-012},
blow={-46427.6375,3.094167118},
ahigh={-332766.93,-618.435249,13.46170049,-0.0001849172548,4.09259134e-008,
-4.69981043e-012,2.180811799e-016},
bhigh={-47151.8661,-41.0536924},
R_s=R_NASA_2002/CF2Br2.MM);
constant IdealGases.Common.DataRecord CF2CL(
name="CF2CL",
MM=0.0854605064,
Hf=-3217860.642117609,
H0=145473.8981045869,
Tlimit=1000,
alow={8914.558349999999,-17.68816959,1.607015025,0.02473626554,-3.27073894e-005,
2.12635183e-008,-5.509831110000001e-012},
blow={-34273.0625,19.2968069},
ahigh={-280234.6654,-686.031485,10.51143635,-0.0002046954963,
4.52889718e-008,-5.20022903e-012,2.41297145e-016},
bhigh={-33081.7948,-28.74899785},
R_s=R_NASA_2002/CF2CL.MM);
constant IdealGases.Common.DataRecord CF2CLBr(
name="CF2CLBr",
MM=0.1653645064,
Hf=-2630552.404926478,
H0=93903.11946651207,
Tlimit=1000,
alow={26966.99365,-467.883227,5.24480942,0.02530121349,-3.508443520000001e-005,
2.354353958e-008,-6.24616113e-012},
blow={-51983.8273,0.8532887803},
ahigh={-359282.884,-653.928359,13.48831524,-0.0001956099469,4.32977597e-008,
-4.97264437e-012,2.30757505e-016},
bhigh={-53651.4117,-42.24913908000001},
R_s=R_NASA_2002/CF2CLBr.MM);
constant IdealGases.Common.DataRecord CF2CL2(
name="CF2CL2",
MM=0.1209135064,
Hf=-4059099.885635274,
H0=123072.2228066988,
Tlimit=1000,
alow={38412.5875,-613.949982,5.26966719,0.02574105783,-3.58737648e-005,
2.41160013e-008,-6.4022369e-012},
blow={-57845.4133,-1.957454856},
ahigh={-382744.855,-693.37748,13.51791274,-0.0002075114435,4.59402161e-008,
-5.276874600000001e-012,2.449037044e-016},
bhigh={-60215.2777,-44.79580046},
R_s=R_NASA_2002/CF2CL2.MM);
constant IdealGases.Common.DataRecord CF3(
name="CF3",
MM=0.0690059096,
Hf=-6773332.932053692,
H0=166528.7808915426,
Tlimit=1000,
alow={-29783.07106,715.367883,-3.49818538,0.0359545799,-4.50797443e-005,
2.82180845e-008,-7.098047020000001e-012},
blow={-60599.9703,45.0259264},
ahigh={-299730.5557,-1046.989457,10.77923191,-0.0003116087076,
6.89135143e-008,-7.91122564e-012,3.67059302e-016},
bhigh={-54253.044,-34.1703879},
R_s=R_NASA_2002/CF3.MM);
constant IdealGases.Common.DataRecord CF3plus(
name="CF3plus",
MM=0.06900536099999999,
Hf=6138906.801748347,
H0=167251.9327882366,
Tlimit=1000,
alow={-35874.6354,374.35067,0.778741393,0.01929435768,-1.89281577e-005,
9.36390876e-009,-1.885759656e-012},
blow={47755.8172,22.24044005},
ahigh={-29109.19531,-1996.658183,11.44279678,-0.000565339304,
1.232297113e-007,-1.399758046e-011,6.44301795e-016},
bhigh={59023.458,-40.80349990000001},
R_s=R_NASA_2002/CF3plus.MM);
constant IdealGases.Common.DataRecord CF3Br(
name="CF3Br",
MM=0.1489099096,
Hf=-4356996.80258217,
H0=96998.43374292129,
Tlimit=1000,
alow={-5439.48901,124.361519,0.923194195,0.0348104438,-4.54964549e-005,
2.932836552e-008,-7.54800036e-012},
blow={-80233.9676,22.32999096},
ahigh={-383408.851,-971.9093300000001,13.72477396,-0.0002901710612,
6.421892200000001e-008,-7.37568877e-012,3.42315425e-016},
bhigh={-77653.0631,-47.1736721},
R_s=R_NASA_2002/CF3Br.MM);
constant IdealGases.Common.DataRecord CF3CL(
name="CF3CL",
MM=0.1044589096,
Hf=-6741406.766512906,
H0=132020.8209410603,
Tlimit=1000,
alow={14994.09978,-136.5768572,1.45291237,0.0340476507,-4.47377764e-005,
2.888115112e-008,-7.43417133e-012},
blow={-85471.6664,17.27327095},
ahigh={-406604.2119999999,-1022.626507,13.76252628,-0.0003052722979,
6.75596604e-008,-7.75931525e-012,3.60119229e-016},
bhigh={-84105.5937,-49.13411939},
R_s=R_NASA_2002/CF3CL.MM);
constant IdealGases.Common.DataRecord CF4(
name="CF4",
MM=0.0880043128,
Hf=-10603116.71452538,
H0=144655.558289866,
Tlimit=1000,
alow={9817.458500000001,116.3343483,-1.288338636,0.0395956691,-4.99624421e-005,
3.125339346e-008,-7.841700320000001e-012},
blow={-113850.2297,29.38656548},
ahigh={-416445.678,-1414.797167,14.05124837,-0.000419909386,9.27892161e-008,
-1.06457583e-011,4.937099680000001e-016},
bhigh={-109469.1149,-54.87105},
R_s=R_NASA_2002/CF4.MM);
constant IdealGases.Common.DataRecord CHplus(
name="CHplus",
MM=0.0130180914,
Hf=125254229.2029076,
H0=662777.9552999605,
Tlimit=1000,
alow={30196.07105,-461.814131,6.22564119,-0.0077757118,1.094489485e-005,-6.67548791e-009,
1.565232409e-012},
blow={197249.1928,-14.31512811},
ahigh={-7102094.67,18283.54883,-13.12691402,0.006191717360000001,-2.909421253e-007,
-1.134243575e-010,1.105962085e-014},
bhigh={75412.9604,124.3984829},
R_s=R_NASA_2002/CHplus.MM);
constant IdealGases.Common.DataRecord CHBr3(
name="CHBr3",
MM=0.25273064,
Hf=66236.5275536041,
H0=62938.94954723337,
Tlimit=1000,
alow={43465.7686,-499.963442,5.62022211,0.02079346321,-2.921336328e-005,
2.066942448e-008,-5.78122091e-012},
blow={2627.830062,1.247904015},
ahigh={627423.495,-3378.7111,14.87852612,-0.000593274527,1.082421577e-007,-1.061012665e-011,
4.31915245e-016},
bhigh={18772.34659,-53.1190965},
R_s=R_NASA_2002/CHBr3.MM);
constant IdealGases.Common.DataRecord CHCL(
name="CHCL",
MM=0.04847164,
Hf=6129357.290159771,
H0=210441.4663914817,
Tlimit=1000,
alow={-269991.2334,4351.19973,-22.75911813,0.07550621760000001,-9.07199797e-005,
5.25697186e-008,-1.189769182e-011},
blow={14168.6268,152.0980812},
ahigh={-954806.1900000001,2174.413794,4.86764537,0.0008321641859999999,-1.536948638e-007,
1.529236537e-011,-6.596159359999999e-016},
bhigh={18801.2181,2.674761385},
R_s=R_NASA_2002/CHCL.MM);
constant IdealGases.Common.DataRecord CHCLBr2(
name="CHCLBr2",
MM=0.20827964,
Hf=48012.37413316059,
H0=73416.85437904541,
Tlimit=1000,
alow={38153.8025,-408.4175110000001,4.63924402,0.02325990646,-3.22298886e-005,
2.254671151e-008,-6.25650774e-012},
blow={1483.809044,6.175235281},
ahigh={604286.53,-3438.24101,14.94162631,-0.000622842797,1.153724426e-007,-1.147291377e-011,
4.733482859999999e-016},
bhigh={18224.60958,-54.07258924},
R_s=R_NASA_2002/CHCLBr2.MM);
constant IdealGases.Common.DataRecord CHCL2(
name="CHCL2",
MM=0.08392464,
Hf=1141500.27929819,
H0=152517.7826202174,
Tlimit=1000,
alow={56385.5613,-656.245542,6.06881802,0.0097441226,-1.275310131e-005,
8.55238672e-009,-2.2315827e-012},
blow={13304.47798,-4.533535456},
ahigh={884939.3709999999,-3526.96973,11.86372153,-0.000500237612,
6.1338604e-008,-1.885433405e-012,-1.234221421e-016},
bhigh={30711.36475,-40.88905858},
R_s=R_NASA_2002/CHCL2.MM);
constant IdealGases.Common.DataRecord CHCL2Br(
name="CHCL2Br",
MM=0.16382864,
Hf=-274677.248129509,
H0=89910.37830748031,
Tlimit=1000,
alow={32940.2265,-327.530117,3.77323524,0.02536466143,-3.47266699e-005,
2.404666618e-008,-6.62173093e-012},
blow={-5425.56508,9.433412003999999},
ahigh={592487.644,-3509.47561,14.99349593,-0.000643306257,1.198581809e-007,
-1.198476716e-011,4.96994807e-016},
bhigh={11972.51405,-56.02687781},
R_s=R_NASA_2002/CHCL2Br.MM);
constant IdealGases.Common.DataRecord CHCL3(
name="CHCL3",
MM=0.11937764,
Hf=-860295.1105416392,
H0=119833.9488031427,
Tlimit=1000,
alow={33953.3329,-304.7428785,2.923672263,0.02830547858,-3.71242469e-005,
2.551365915e-008,-6.98765955e-012},
blow={-12350.63157,11.15556408},
ahigh={613605.274,-3715.08717,15.10777247,0.0002362584336,1.297140438e-007,
-1.267494791e-011,5.259022309999999e-016},
bhigh={6203.31345,-59.92576539},
R_s=R_NASA_2002/CHCL3.MM);
constant IdealGases.Common.DataRecord CHF(
name="CHF",
MM=0.03201704320000001,
Hf=3398190.123939989,
H0=311746.9635672041,
Tlimit=1000,
alow={-78685.85829999999,1300.218466,-3.94768525,0.02114995848,-2.239962738e-005,
1.283155181e-008,-2.904778136e-012},
blow={5824.38972,47.8545377},
ahigh={3994085.42,-7962.756200000001,6.75559509,0.00494983657,-2.101763812e-006,
3.34823295e-010,-1.88682505e-014},
bhigh={67061.34940000001,-23.81240379},
R_s=R_NASA_2002/CHF.MM);
constant IdealGases.Common.DataRecord CHFBr2(
name="CHFBr2",
MM=0.1918250432,
Hf=-912289.6420648375,
H0=74857.56687685709,
Tlimit=1000,
alow={-18201.9798,436.224967,-0.373385417,0.033886314,-4.37129853e-005,
2.889569295e-008,-7.683915110000001e-012},
blow={-24656.11586,33.2047879},
ahigh={593575.1630000001,-3742.65658,15.17184031,-0.0007158039030000001,
1.360636972e-007,-1.385897355e-011,5.844209110000001e-016},
bhigh={-2347.676027,-57.6578343},
R_s=R_NASA_2002/CHFBr2.MM);
constant IdealGases.Common.DataRecord CHFCL(
name="CHFCL",
MM=0.06747004320000001,
Hf=-1232320.301819519,
H0=165198.5751211139,
Tlimit=1000,
alow={-71130.0851,1377.872745,-6.48461724,0.0389097249,-4.80073522e-005,
3.073300019e-008,-7.98285341e-012},
blow={-17517.93745,63.73895867},
ahigh={662216.358,-3809.00798,12.23880469,-0.000746718275,1.43476785e-007,-1.475406631e-011,
6.27378068e-016},
bhigh={10189.87746,-46.58365563},
R_s=R_NASA_2002/CHFCL.MM);
constant IdealGases.Common.DataRecord CHFCLBr(
name="CHFCLBr",
MM=0.1473740432,
Hf=-1560654.746289813,
H0=93552.3359516542,
Tlimit=1000,
alow={-19592.40614,490.172327,-1.259408503,0.0361770847,-4.65424496e-005,
3.065240659e-008,-8.1239036e-012},
blow={-31399.00705,37.10450945},
ahigh={580011.7509999999,-3823.33785,15.22809062,-0.000737390631,
1.407097155e-007,-1.438245319e-011,6.08386715e-016},
bhigh={-8552.249899999999,-59.03677705},
R_s=R_NASA_2002/CHFCLBr.MM);
constant IdealGases.Common.DataRecord CHFCL2(
name="CHFCL2",
MM=0.1029230432,
Hf=-2768087.603534833,
H0=129167.984026341,
Tlimit=1000,
alow={-17349.59015,492.49132,-1.854635884,0.0378278628,-4.86334304e-005,
3.19719763e-008,-8.45905799e-012},
blow={-37887.4927,38.01530544},
ahigh={564011.302,-3887.0833,15.27760246,-0.0007576487420000001,
1.452498792e-007,-1.490796515e-011,6.3289985e-016},
bhigh={-14847.36185,-61.67535516},
R_s=R_NASA_2002/CHFCL2.MM);
constant IdealGases.Common.DataRecord CHF2(
name="CHF2",
MM=0.0510154464,
Hf=-4682895.414201452,
H0=214052.8167562991,
Tlimit=1000,
alow={-146969.0117,2553.397313,-13.0262763,0.0543812846,-6.71341879e-005,
4.28765173e-008,-1.110824216e-011},
blow={-41793.7216,99.39930250000001},
ahigh={552680.655,-3696.00917,12.08610573,-0.00064985881,1.12084622e-007,-9.814147009999999e-012,
3.34919239e-016},
bhigh={-9437.06842,-47.044162},
R_s=R_NASA_2002/CHF2.MM);
constant IdealGases.Common.DataRecord CHF2Br(
name="CHF2Br",
MM=0.1309194464,
Hf=-3223356.129315255,
H0=100592.4204702412,
Tlimit=1000,
alow={-77145.1016,1422.544046,-6.68439365,0.0473838915,-5.83058875e-005,
3.69572047e-008,-9.49548528e-012},
blow={-58785.00930000001,66.0863909},
ahigh={576770.684,-4177.71608,15.50150581,-0.000849014729,1.657177491e-007,
-1.727828054e-011,7.43562723e-016},
bhigh={-29661.47348,-63.4938014},
R_s=R_NASA_2002/CHF2Br.MM);
constant IdealGases.Common.DataRecord CHF2CL(
name="CHF2CL",
MM=0.08646844640000001,
Hf=-5583539.662162821,
H0=143029.0067059653,
Tlimit=1000,
alow={-72405.7941,1365.510973,-7.15322208,0.0485498797,-5.94878167e-005,
3.75096619e-008,-9.58952442e-012},
blow={-65659.32799999999,66.5721223},
ahigh={562949.373,-4298.673049999999,15.58191398,-0.000878927848,
1.720248689e-007,-1.797910869e-011,7.753391699999999e-016},
bhigh={-36340.6716,-66.11261479999999},
R_s=R_NASA_2002/CHF2CL.MM);
constant IdealGases.Common.DataRecord CHF3(
name="CHF3",
MM=0.0700138496,
Hf=-9902326.524836596,
H0=165208.5418254162,
Tlimit=1000,
alow={-109513.226,2042.273879,-11.66213079,0.0578580777,-6.857135060000001e-005,
4.21211838e-008,-1.053196888e-011},
blow={-93954.70050000001,89.3592065},
ahigh={568523.2020000001,-4728.3617,15.86728516,-0.000738234865,
1.970841706e-007,-2.062115571e-011,8.970599639999999e-016},
bhigh={-59231.9637,-71.6127322},
R_s=R_NASA_2002/CHF3.MM);
constant IdealGases.Common.DataRecord CHI3(
name="CHI3",
MM=0.39373205,
Hf=535576.4154835757,
H0=43574.2708778724,
Tlimit=1000,
alow={52529.2359,-724.216647,8.01862334,0.01470995487,-2.163843469e-005,
1.594571452e-008,-4.60143796e-012},
blow={26781.86915,-8.605054839999999},
ahigh={629420.543,-3184.06157,14.79622178,-0.00057495555,1.062025541e-007,-1.052804696e-011,
4.32972002e-016},
bhigh={41036.098,-49.0135739},
R_s=R_NASA_2002/CHI3.MM);
constant IdealGases.Common.DataRecord CH2(
name="CH2",
MM=0.01402658,
Hf=27830341.89374745,
H0=0,
Tlimit=1000,
alow={32189.2173,-287.7601815,4.20358382,0.00345540596,-6.74619334e-006,
7.65457164e-009,-2.870328419e-012},
blow={4.733624710e+004,-2.143628603e+000},
ahigh={2550418.031,-7971.62539,12.28924487,-0.001699122922,2.991728605e-007,
-2.767007492e-011,1.051341740e-015},
bhigh={9.642216890e+004,-6.094739910e+001},
R_s=R_NASA_2002/CH2.MM);
constant IdealGases.Common.DataRecord CH2Br2(
name="CH2Br2",
MM=0.17383458,
Hf=-84965.83361032081,
H0=72565.5792995847,
Tlimit=1000,
alow={4797.30801,361.385924,-1.819592338,0.0347704834,-4.49854618e-005,
3.068623685e-008,-8.43484634e-012},
blow={-4481.49706,38.2712359},
ahigh={1528284.441,-6673.414949999999,16.70213316,-0.001166351237,
2.122634493e-007,-2.07547224e-011,8.4285777e-016},
bhigh={36007.0664,-74.48065490000001},
R_s=R_NASA_2002/CH2Br2.MM);
constant IdealGases.Common.DataRecord CH2CL(
name="CH2CL",
MM=0.04947958,
Hf=2409074.612193556,
H0=221908.1083550022,
Tlimit=1000,
alow={-31885.8563,633.316321,-1.164065495,0.0216058608,-2.545462163e-005,
1.693887757e-008,-4.6600786e-012},
blow={10201.4254,32.30835289},
ahigh={1662438.334,-6441.12572,13.59753722,-0.00114053681,2.087760159e-007,
-2.052347186e-011,8.37577227e-016},
bhigh={52129.0612,-61.48586271},
R_s=R_NASA_2002/CH2CL.MM);
constant IdealGases.Common.DataRecord CH2CLBr(
name="CH2CLBr",
MM=0.12938358,
Hf=-347803.0210634147,
H0=94221.74745821687,
Tlimit=1000,
alow={-13079.48755,645.586038,-3.57734991,0.0383368723,-4.86425205e-005,
3.26162233e-008,-8.852877389999999e-012},
blow={-9402.27253,47.48806758},
ahigh={1525016.309,-6823.33416,16.82769102,-0.001219735119,2.244964495e-007,
-2.219063248e-011,9.104705129999999e-016},
bhigh={33202.3992,-76.37571062000001},
R_s=R_NASA_2002/CH2CLBr.MM);
constant IdealGases.Common.DataRecord CH2CL2(
name="CH2CL2",
MM=0.08493258000000001,
Hf=-1118534.25387525,
H0=139570.4333955238,
Tlimit=1000,
alow={-25098.41179,868.766738,-5.09466921,0.0415004999,-5.19977215e-005,
3.44594426e-008,-9.270292519999999e-012},
blow={-16389.7884,53.9689032},
ahigh={1529279.337,-6976.95476,16.94154931,-0.001265053995,2.344766734e-007,
-2.333227421e-011,9.632834730000001e-016},
bhigh={28063.18171,-79.49453509999999},
R_s=R_NASA_2002/CH2CL2.MM);
constant IdealGases.Common.DataRecord CH2F(
name="CH2F",
MM=0.0330249832,
Hf=-962907.3785569707,
H0=336987.3023886958,
Tlimit=1000,
alow={-85697.1253,1392.226749,-4.38205259,0.02645916948,-2.848145663e-005,
1.732706028e-008,-4.44206144e-012},
blow={-11694.44586,50.494992},
ahigh={2535399.502,-9358.43902,17.00366206,-0.003062919929,
7.612869080000001e-007,-9.664554980000001e-011,4.8447681e-015},
bhigh={52283.9131,-87.0755157},
R_s=R_NASA_2002/CH2F.MM);
constant IdealGases.Common.DataRecord CH2FBr(
name="CH2FBr",
MM=0.1129289832,
Hf=-1903851.375507647,
H0=102919.4248514229,
Tlimit=1000,
alow={-92561.0953,1811.985865,-9.69834687,0.0503584867,-6.07027268e-005,
3.8782508e-008,-1.012615992e-011},
blow={-35375.0962,81.4039605},
ahigh={1539975.462,-7231.55136,17.14566439,-0.001350184394,2.538022824e-007,
-2.558977386e-011,1.069310946e-015},
bhigh={15096.04224,-80.62053710000001},
R_s=R_NASA_2002/CH2FBr.MM);
constant IdealGases.Common.DataRecord CH2FCL(
name="CH2FCL",
MM=0.0684779832,
Hf=-3880079.225230454,
H0=164320.8002656247,
Tlimit=1000,
alow={-107134.0332,2081.328396,-11.55723697,0.0544148211,-6.51862274e-005,
4.13315988e-008,-1.071935103e-011},
blow={-42647.5621,90.35923546999999},
ahigh={1536120.418,-7378.93973,17.25797178,-0.001395645457,2.639247747e-007,
-2.675653563e-011,1.123582778e-015},
bhigh={9813.71046,-83.13642553},
R_s=R_NASA_2002/CH2FCL.MM);
constant IdealGases.Common.DataRecord CH2F2(
name="CH2F2",
MM=0.0520233864,
Hf=-8694166.821866099,
H0=205548.4607976231,
Tlimit=1000,
alow={-181991.75,3174.42789,-17.14256906,0.06411353830000001,-7.31359212e-005,
4.426384159999999e-008,-1.103877216e-011},
blow={-70270.5895,120.7331926},
ahigh={1546609.496,-7876.88333,17.68770469,-0.001581298721,3.068917255e-007,
-3.18340546e-011,1.363827177e-015},
bhigh={-9800.13596,-89.0742036},
R_s=R_NASA_2002/CH2F2.MM);
constant IdealGases.Common.DataRecord CH2I2(
name="CH2I2",
MM=0.26783552,
Hf=438964.9289235423,
H0=49472.25819786711,
Tlimit=1000,
alow={27381.33757,-89.7256804,1.387869408,0.02733482611,-3.61940877e-005,
2.53918761e-008,-7.145585160000001e-012},
blow={13387.67276,22.41870165},
ahigh={1512892.716,-6442.9124,16.59026137,-0.00113555152,2.07375025e-007,-2.033902231e-011,
8.282283700000001e-016},
bhigh={50582.1903,-71.2523514},
R_s=R_NASA_2002/CH2I2.MM);
constant IdealGases.Common.DataRecord CH3(
name="CH3",
MM=0.01503452,
Hf=9754753.726756824,
H0=0,
Tlimit=1000,
alow={-28761.88806,509.326866,0.2002143949,0.01363605829,-1.433989346e-005,
1.013556725e-008,-3.027331936e-012},
blow={1.408271825e+004,2.022772791e+001},
ahigh={2760802.663,-9336.53117,14.87729606,-0.001439429774,2.444477951e-007,
-2.224555778e-011,8.395065760e-016},
bhigh={7.481809480e+004,-7.919682400e+001},
R_s=R_NASA_2002/CH3.MM);
constant IdealGases.Common.DataRecord CH3Br(
name="CH3Br",
MM=0.09493852,
Hf=-397520.4163705101,
H0=111784.5001164965,
Tlimit=1000,
alow={-71155.85769999999,1524.705928,-8.230445209999999,0.0423997321,-4.94697989e-005,
3.19443334e-008,-8.531237080000001e-012},
blow={-12517.53591,70.48127769999999},
ahigh={2524874.348,-10118.76098,18.65902163,-0.00179767369,3.29852011e-007,
-3.25091203e-011,1.330179925e-015},
bhigh={55405.7639,-97.7866446},
R_s=R_NASA_2002/CH3Br.MM);
constant IdealGases.Common.DataRecord CH3CL(
name="CH3CL",
MM=0.05048752,
Hf=-1621588.859979654,
H0=206311.2626645159,
Tlimit=1000,
alow={-98419.71100000001,1983.700841,-10.84512305,0.0477798005,-5.51551626e-005,
3.50617614e-008,-9.23610396e-012},
blow={-19946.89506,83.99658330999999},
ahigh={2522463.305,-10301.15447,18.82725852,-0.001872291294,3.47337286e-007,
-3.45888722e-011,1.428941079e-015},
bhigh={51114.1741,-100.6571389},
R_s=R_NASA_2002/CH3CL.MM);
constant IdealGases.Common.DataRecord CH3F(
name="CH3F",
MM=0.0340329232,
Hf=-6984413.257806781,
H0=297806.5957025989,
Tlimit=1000,
alow={-202982.1878,3447.33113,-17.68994275,0.059452758,-6.46952825e-005,
3.85941804e-008,-9.626541530000001e-012},
blow={-45779.26220000001,122.8382176},
ahigh={2561903.188,-10860.52758,19.2944692,-0.002070973131,3.92912453e-007,
-3.99450342e-011,1.681447081e-015},
bhigh={35635.0851,-106.1158456},
R_s=R_NASA_2002/CH3F.MM);
constant IdealGases.Common.DataRecord CH3I(
name="CH3I",
MM=0.14193899,
Hf=96980.82253509061,
H0=76200.58449056177,
Tlimit=1000,
alow={-45164.6274,1086.208429,-5.66317627,0.0368317171,-4.3213935e-005,
2.833483666e-008,-7.684383690000001e-012},
blow={-4303.83065,56.88562690000001},
ahigh={2511915.982,-9960.289989999999,18.56907132,-0.001768191331,
3.24220626e-007,-3.19294201e-011,1.305407821e-015},
bhigh={60669.29949999999,-95.9077704},
R_s=R_NASA_2002/CH3I.MM);
constant IdealGases.Common.DataRecord CH2OH(
name="CH2OH",
MM=0.03103392,
Hf=-573565.9562182283,
H0=379616.8837194915,
Tlimit=1000,
alow={-156007.6238,2685.446279,-13.4202242,0.0575713947,-7.28444999e-005,
4.836648860000001e-008,-1.293492601e-011},
blow={-15968.2041,99.630337},
ahigh={2250349.506,-8173.186060000001,15.99639179,-0.0008704133719999999,
6.06918395e-008,4.40834946e-012,-5.7023095e-016},
bhigh={46453.1343,-78.3515845},
R_s=R_NASA_2002/CH2OH.MM);
constant IdealGases.Common.DataRecord CH2OHplus(
name="CH2OHplus",
MM=0.0310333714,
Hf=23084826.67790326,
H0=327035.0446036295,
Tlimit=1000,
alow={-107708.0841,2252.082711,-11.88167865,0.0460231696,-4.87973688e-005,
2.876413471e-008,-7.1002265e-012},
blow={74844.4777,90.2792857},
ahigh={2603333.487,-10099.5381,17.30843898,-0.000694639032,3.009715083e-008,
5.22148598e-012,-5.09018379e-016},
bhigh={146540.2426,-92.2395528},
R_s=R_NASA_2002/CH2OHplus.MM);
constant IdealGases.Common.DataRecord CH3O(
name="CH3O",
MM=0.03103392,
Hf=418896.4848784814,
H0=364183.7705323724,
Tlimit=1000,
alow={86571.17660000001,-663.1685250000001,2.257455672,0.02266283789,-2.970566403e-005,
2.199341353e-008,-6.58804338e-012},
blow={4174.102129999999,8.174777900000001},
ahigh={2101188.243,-8841.968800000001,18.22645731,-0.001743485034,
3.34043427e-007,-3.43067316e-011,1.473897771e-015},
bhigh={53095.82060000001,-94.2250059},
R_s=R_NASA_2002/CH3O.MM);
constant IdealGases.Common.DataRecord CH4(
name="CH4",
MM=0.01604246,
Hf=-4650159.63885838,
H0=624355.7409524474,
Tlimit=1000,
alow={-176685.0998,2786.18102,-12.0257785,0.0391761929,-3.61905443e-005,
2.026853043e-008,-4.976705489999999e-012},
blow={-23313.1436,89.0432275},
ahigh={3730042.76,-13835.01485,20.49107091,-0.001961974759,4.72731304e-007,
-3.72881469e-011,1.623737207e-015},
bhigh={75320.6691,-121.9124889},
R_s=R_NASA_2002/CH4.MM);
constant IdealGases.Common.DataRecord CH3OH(
name="CH3OH",
MM=0.03204186,
Hf=-6271171.523750494,
H0=356885.5553329301,
Tlimit=1000,
alow={-241664.2886,4032.14719,-20.46415436,0.0690369807,-7.59893269e-005,
4.59820836e-008,-1.158706744e-011},
blow={-44332.61169999999,140.014219},
ahigh={3411570.76,-13455.00201,22.61407623,-0.002141029179,3.73005054e-007,
-3.49884639e-011,1.366073444e-015},
bhigh={56360.8156,-127.7814279},
R_s=R_NASA_2002/CH3OH.MM);
constant IdealGases.Common.DataRecord CH3OOH(
name="CH3OOH",
MM=0.04804126,
Hf=-2893346.261109721,
H0=0,
Tlimit=1000,
alow={-149797.4156,2656.222273,-13.77060625,0.0658867383,-7.75180165e-005,
4.9688007e-008,-1.31436764e-011},
blow={-3.058414201e+004,1.031696850e+002},
ahigh={3060740.61,-12829.59627,25.41021168,-0.002394481095,4.44342991e-007,
-4.4166595e-011,1.819673372e-015},
bhigh={5.837492360e+004,-1.387713096e+002},
R_s=R_NASA_2002/CH3OOH.MM);
constant IdealGases.Common.DataRecord CI(
name="CI",
MM=0.13891517,
Hf=4104669.15888308,
H0=68344.68834469267,
Tlimit=1000,
alow={104301.1064,-1715.427168,12.88874952,-0.01828504834,2.135468356e-005,
-1.286980869e-008,3.16704766e-012},
blow={75507.84700000001,-44.9681132},
ahigh={-240822.9894,344.738704,4.9769687,-0.000844481539,
5.061239719999999e-007,-1.047700525e-010,6.74084314e-015},
bhigh={64513.4202,1.090913159},
R_s=R_NASA_2002/CI.MM);
constant IdealGases.Common.DataRecord CI2(
name="CI2",
MM=0.26581964,
Hf=1762073.084592245,
H0=47562.82492896311,
Tlimit=1000,
alow={60282.89810000001,-1043.205435,10.17465942,-0.00553567171,
5.63031901e-006,-3.108249657e-009,7.20246956e-013},
blow={59648.9655,-23.10319208},
ahigh={-702865.553,308.2750393,9.04642705,-0.002946736644,1.424347233e-006,
-2.45318341e-010,1.425270291e-014},
bhigh={50211.34209999999,-15.60349377},
R_s=R_NASA_2002/CI2.MM);
constant IdealGases.Common.DataRecord CI3(
name="CI3",
MM=0.39272411,
Hf=1033763.755935433,
H0=42858.20649004717,
Tlimit=1000,
alow={85967.84250000001,-1347.703793,12.72103659,-0.002442876357,
2.511609978e-007,1.024658583e-009,-4.87269296e-013},
blow={53107.1651,-32.384929},
ahigh={-153651.1918,-83.5704437,10.06203125,-2.466447336e-005,
5.41905475e-009,-6.181417e-013,2.851262022e-017},
bhigh={45825.8953,-14.94825345},
R_s=R_NASA_2002/CI3.MM);
constant IdealGases.Common.DataRecord CI4(
name="CI4",
MM=0.51962858,
Hf=515644.0009516028,
H0=43022.17172119363,
Tlimit=1000,
alow={89190.4387,-1651.906475,17.96124325,-0.00851811425,8.50868225e-006,-4.59909773e-009,
1.039492403e-012},
blow={36893.9215,-58.0595312},
ahigh={-144676.277,-52.8036517,13.03985589,-1.606214814e-005,
3.56755047e-009,-4.10536698e-013,1.907272766e-017},
bhigh={28177.46618,-28.10414436},
R_s=R_NASA_2002/CI4.MM);
constant IdealGases.Common.DataRecord CN(
name="CN",
MM=0.0260174,
Hf=16861160.30041434,
H0=333319.3939440528,
Tlimit=1000,
alow={3949.14857,-139.1590572,4.93083532,-0.006304670510000001,
1.256836472e-005,-9.878300500000001e-009,2.843137221e-012},
blow={52284.55379999999,-2.763115585},
ahigh={-2228006.27,5040.733389999999,-0.2121897722,0.001354901134,
1.325929798e-007,-6.93700637e-011,5.49495227e-015},
bhigh={17844.96132,32.82563919},
R_s=R_NASA_2002/CN.MM);
constant IdealGases.Common.DataRecord CNplus(
name="CNplus",
MM=0.0260168514,
Hf=69143297.79352164,
H0=333710.7886929008,
Tlimit=1000,
alow={-830290.9570000001,8775.6875,-29.7744356,0.0497689706,-1.302225951e-005,
-2.058325353e-008,1.126843895e-011},
blow={170386.0539,203.9918818},
ahigh={-7153463.08,18572.50421,-10.84534159,0.00610668143,-1.191208566e-006,
1.184848778e-010,-4.799838730000001e-015},
bhigh={92426.44959999999,113.5340573},
R_s=R_NASA_2002/CNplus.MM);
constant IdealGases.Common.DataRecord CNminus(
name="CNminus",
MM=0.0260179486,
Hf=2455424.32964911,
H0=333273.93075102,
Tlimit=1000,
alow={-46065.4139,429.417475,2.32878188,-0.0001235303004,4.47846277e-006,-4.40315129e-009,
1.349001191e-012},
blow={4362.07834,11.42928617},
ahigh={351796.472,-1630.477359,5.60987575,-0.000397560597,
8.856147079999999e-008,-9.722872320000001e-012,4.43420569e-016},
bhigh={16479.76581,-11.75502699},
R_s=R_NASA_2002/CNminus.MM);
constant IdealGases.Common.DataRecord CNN(
name="CNN",
MM=0.0400241,
Hf=15827565.29191162,
H0=259285.2806184274,
Tlimit=1000,
alow={-73576.9236,965.2438659999999,-1.704121157,0.02037239025,-2.183423906e-005,
1.176082777e-008,-2.551355221e-012},
blow={70217.2983,35.2815091},
ahigh={-181714.8765,-672.986349,7.85794834,-6.13688072e-005,-1.088178985e-008,
4.45665581e-012,-2.836496278e-016},
bhigh={77234.8898,-19.66012324},
R_s=R_NASA_2002/CNN.MM);
constant IdealGases.Common.DataRecord CO(
name="CO",
MM=0.0280101,
Hf=-3946262.098314536,
H0=309570.6191695138,
Tlimit=1000,
alow={14890.45326,-292.2285939,5.72452717,-0.008176235030000001,
1.456903469e-005,-1.087746302e-008,3.027941827e-012},
blow={-13031.31878,-7.85924135},
ahigh={461919.725,-1944.704863,5.91671418,-0.0005664282830000001,
1.39881454e-007,-1.787680361e-011,9.62093557e-016},
bhigh={-2466.261084,-13.87413108},
R_s=R_NASA_2002/CO.MM);
constant IdealGases.Common.DataRecord COplus(
name="COplus",
MM=0.0280095514,
Hf=44548703.62543543,
H0=309576.6824741077,
Tlimit=1000,
alow={-21787.86658,128.8857032,3.76905755,-0.00343173013,8.19394575e-006,-6.463814690000001e-009,
1.803727574e-012},
blow={148234.5898,3.99054707},
ahigh={231684.7506,-1057.646148,4.55425778,0.000449552032,-2.489507047e-007,
5.26756642e-011,-3.28951027e-015},
bhigh={155505.0724,-3.87346264},
R_s=R_NASA_2002/COplus.MM);
constant IdealGases.Common.DataRecord COCL(
name="COCL",
MM=0.0634631,
Hf=-252115.0085640317,
H0=182007.3239409988,
Tlimit=1000,
alow={25131.7574,-596.918967,8.327671349999999,-0.00705613259,
1.313150734e-005,-1.037059653e-008,3.033665179e-012},
blow={-705.277032,-15.80716775},
ahigh={344372.024,-1793.14347,8.392755899999999,-0.000537476959,
9.113555710000001e-008,-3.111441728e-012,-2.040435218e-016},
bhigh={6914.470149999999,-19.98919104},
R_s=R_NASA_2002/COCL.MM);
constant IdealGases.Common.DataRecord COCL2(
name="COCL2",
MM=0.09891610000000001,
Hf=-2219052.307966044,
H0=130197.4299431538,
Tlimit=1000,
alow={93193.2145,-1577.971273,12.08353907,-0.00480901561,
7.688477319999999e-006,-5.8588412e-009,1.687786559e-012},
blow={-20542.52334,-38.3476732},
ahigh={-25458.81891,-1305.958516,10.92922584,-0.000360121016,
7.78701765e-008,-8.79245203e-012,4.02869661e-016},
bhigh={-22198.4734,-32.3330345},
R_s=R_NASA_2002/COCL2.MM);
constant IdealGases.Common.DataRecord COFCL(
name="COFCL",
MM=0.08246150319999999,
Hf=-5208404.471578928,
H0=144355.821056631,
Tlimit=1000,
alow={72621.739,-1019.738175,7.29091199,0.00742069171,-7.902548079999999e-006,
4.209427650000001e-009,-9.3144129e-013},
blow={-48043.8646,-13.16923671},
ahigh={-53168.8791,-1581.009678,11.12696501,-0.00043730008,
9.464190710000001e-008,-1.069291346e-011,4.901756640000001e-016},
bhigh={-45996.6723,-35.25879824},
R_s=R_NASA_2002/COFCL.MM);
constant IdealGases.Common.DataRecord COF2(
name="COF2",
MM=0.06600690640000001,
Hf=-9695955.088723866,
H0=168678.2430391253,
Tlimit=1000,
alow={52633.9315,-461.860339,2.774114516,0.01831931082,-2.130172554e-005,
1.266924542e-008,-3.101675983e-012},
blow={-75642.55099999999,9.467181460000001},
ahigh={-40738.0685,-1974.009812,11.40363654,-0.000543711147,
1.175232744e-007,-1.326564192e-011,6.07677213e-016},
bhigh={-69077.9541,-40.09695},
R_s=R_NASA_2002/COF2.MM);
constant IdealGases.Common.DataRecord COHCL(
name="COHCL",
MM=0.06447104000000001,
Hf=-2547064.170207274,
H0=170716.6814743488,
Tlimit=1000,
alow={6332.94687,81.2036559,1.374648391,0.01650970564,-1.692917241e-005,
9.68404683e-009,-2.37446939e-012},
blow={-21203.5658,19.3837965},
ahigh={831895.285,-4416.87084,12.70661114,-0.0009361408629999999,
1.855335611e-007,-1.958378539e-011,8.512046829999999e-016},
bhigh={4330.49644,-51.45071542},
R_s=R_NASA_2002/COHCL.MM);
constant IdealGases.Common.DataRecord COHF(
name="COHF",
MM=0.0480164432,
Hf=-7801293.391093992,
H0=217629.5098842307,
Tlimit=1000,
alow={-45858.285,1048.202675,-4.77657422,0.03080719931,-3.4158959e-005,
2.034926806e-008,-5.05419462e-012},
blow={-50859.8373,52.3224741},
ahigh={857885.316,-4791.95912,12.93975218,-0.001018285299,2.021278474e-007,
-2.136698091e-011,9.299588910000002e-016},
bhigh={-18789.33107,-55.2744914},
R_s=R_NASA_2002/COHF.MM);
constant IdealGases.Common.DataRecord COS(
name="COS",
MM=0.0600751,
Hf=-2358714.342547911,
H0=165486.1498357889,
Tlimit=1000,
alow={85478.76430000001,-1319.464821,9.735257239999999,-0.00687083096,
1.082331416e-005,-7.70559734e-009,2.078570344e-012},
blow={-11916.57685,-29.91988593},
ahigh={195909.8567,-1756.167688,8.71043034,-0.000413942496,1.015243648e-007,
-1.159609663e-011,5.691053860000001e-016},
bhigh={-8927.09669,-26.36328016},
R_s=R_NASA_2002/COS.MM);
constant IdealGases.Common.DataRecord CO2(
name="CO2",
MM=0.0440095,
Hf=-8941478.544405185,
H0=212805.6215135368,
Tlimit=1000,
alow={49436.5054,-626.411601,5.30172524,0.002503813816,-2.127308728e-007,-7.68998878e-010,
2.849677801e-013},
blow={-45281.9846,-7.04827944},
ahigh={117696.2419,-1788.791477,8.29152319,-9.22315678e-005,4.86367688e-009,
-1.891053312e-012,6.330036589999999e-016},
bhigh={-39083.5059,-26.52669281},
R_s=R_NASA_2002/CO2.MM);
constant IdealGases.Common.DataRecord CO2plus(
name="CO2plus",
MM=0.0440089514,
Hf=21465814.54335674,
H0=240089.5423288817,
Tlimit=1000,
alow={-73830.3098,1086.211742,-2.771112737,0.02318463595,-2.570240315e-005,
1.450335497e-008,-3.33447042e-012},
blow={107178.4918,40.54885210000001},
ahigh={-169505.1682,-806.646973,8.00282846,-0.0001577214041,
2.566759314e-008,-2.404195965e-012,1.6774468e-016},
bhigh={115438.9478,-21.33567772},
R_s=R_NASA_2002/CO2plus.MM);
constant IdealGases.Common.DataRecord COOH(
name="COOH",
MM=0.04501744,
Hf=-4731499.614371675,
H0=240203.5522233161,
Tlimit=1000,
alow={-11283.80671,377.517943,-0.5992550409999999,0.02181894272,-2.425918417e-005,
1.451245206e-008,-3.59623338e-012},
blow={-28410.42565,29.34561769},
ahigh={929318.873,-4483.030570000001,12.42199567,-0.0007463139639999999,
1.332996131e-007,-1.28271055e-011,5.1379979e-016},
bhigh={-851.8232680000001,-50.6806551},
R_s=R_NASA_2002/COOH.MM);
constant IdealGases.Common.DataRecord CP(
name="CP",
MM=0.042984461,
Hf=12101159.18401303,
H0=202750.1287034866,
Tlimit=1000,
alow={-45239.4011,775.8828140000001,-1.453947907,0.01397713706,-1.624489706e-005,
9.514083879999999e-009,-2.210281109e-012},
blow={57926.3467,33.1164792},
ahigh={-5449937.15,16883.45926,-15.956922,0.01136028761,-2.84654133e-006,
3.37936404e-010,-1.554457397e-014},
bhigh={-45545.17739999999,145.1324059},
R_s=R_NASA_2002/CP.MM);
constant IdealGases.Common.DataRecord CS(
name="CS",
MM=0.0440757,
Hf=6319810.643960278,
H0=197577.7582658926,
Tlimit=1000,
alow={-49248.4412,816.69681,-1.542998408,0.01380324735,-1.574407905e-005,
9.16971493e-009,-2.169700595e-012},
blow={28651.82876,33.08541327},
ahigh={-971957.476,2339.201284,1.709390402,0.001577178949,-4.146335910000001e-007,
4.50475708e-011,-5.94545773e-016},
bhigh={16810.20727,18.7404822},
R_s=R_NASA_2002/CS.MM);
constant IdealGases.Common.DataRecord CS2(
name="CS2",
MM=0.07614069999999999,
Hf=1532688.824767831,
H0=140059.4294510032,
Tlimit=1000,
alow={16135.60482,-464.948147,6.29793879,0.001888896706,3.031927747e-007,-1.737645373e-009,
7.79398939e-013},
blow={14777.61119,-9.303382129999999},
ahigh={-1390419.724,3354.9755,3.019247723,0.002876437543,-9.076812719999999e-007,
1.374091042e-010,-6.99957557e-015},
bhigh={-10138.98046,15.65113703},
R_s=R_NASA_2002/CS2.MM);
constant IdealGases.Common.DataRecord C2(
name="C2",
MM=0.0240214,
Hf=34571562.10712116,
H0=423335.9421182778,
Tlimit=1000,
alow={555963.451,-9980.12644,66.8162037,-0.1743432724,0.0002448523051,-1.70346758e-007,
4.68452773e-011},
blow={144586.9634,-344.82297},
ahigh={-968926.793,3561.09299,-0.5064138930000001,0.002945154879,-7.13944119e-007,
8.67065725e-011,-4.07690681e-015},
bhigh={76817.96829999999,33.3998524},
R_s=R_NASA_2002/C2.MM);
constant IdealGases.Common.DataRecord C2plus(
name="C2plus",
MM=0.0240208514,
Hf=83459803.26076201,
H0=361565.2024723819,
Tlimit=1000,
alow={-99134.2384,1347.170609,-3.47675316,0.01676429424,-1.865908025e-005,
1.091134647e-008,-2.434913818e-012},
blow={233545.48,44.0664462},
ahigh={3836292.81,-6242.062449999999,2.779245639,0.006065865859999999,-2.452799858e-006,
3.8829425e-010,-2.190639912e-014},
bhigh={285744.7553,0.729738349},
R_s=R_NASA_2002/C2plus.MM);
constant IdealGases.Common.DataRecord C2minus(
name="C2minus",
MM=0.0240219486,
Hf=20013651.34883354,
H0=361174.0306529504,
Tlimit=1000,
alow={-118192.866,1438.18971,-3.19613135,0.01465548163,-1.545537278e-005,
9.061235610000001e-009,-2.135962274e-012},
blow={49653.1779,42.2560888},
ahigh={4478136.25,-11541.45714,13.10143499,-0.001862700578,4.00693125e-008,
3.7102136e-011,-3.33726687e-015},
bhigh={132535.6168,-69.75964399999999},
R_s=R_NASA_2002/C2minus.MM);
constant IdealGases.Common.DataRecord C2CL(
name="C2CL",
MM=0.0594744,
Hf=8980049.752498554,
H0=181264.9812356241,
Tlimit=1000,
alow={47258.8941,-898.0223609999999,9.016877149999999,-0.00633378283,
1.08706005e-005,-8.089068920000001e-009,2.248275223e-012},
blow={67022.15700000001,-23.54893403},
ahigh={213736.8408,-1630.519518,8.62349025,-0.000425351786,9.04001864e-008,
-1.007541495e-011,4.570764750000001e-016},
bhigh={71710.9328,-24.13014598},
R_s=R_NASA_2002/C2CL.MM);
constant IdealGases.Common.DataRecord C2CL2(
name="C2CL2",
MM=0.09492680000000001,
Hf=2387102.48317651,
H0=0,
Tlimit=1000,
alow={3.871168730e+004,-9.336870210e+002,1.119377832e+001,-3.746287380e-003,6.770471350e-006,
-4.910387450e-009,1.299068486e-012},
blow={2.948153174e+004,-3.310723530e+001},
ahigh={2.961995390e+005,-2.044290845e+003,1.187529729e+001,-5.115031340e-004,1.072666588e-007,
-1.183417569e-011,5.326530480e-016},
bhigh={3.636802500e+004,-4.000826050e+001},
R_s=R_NASA_2002/C2CL2.MM);
constant IdealGases.Common.DataRecord C2CL3(
name="C2CL3",
MM=0.1303804,
Hf=1459357.326714752,
H0=123870.2903197106,
Tlimit=1000,
alow={46750.1604,-885.1019640000001,9.03227055,0.01242122796,-1.554614347e-005,
9.51388712e-009,-2.341473263e-012},
blow={24958.63399,-17.79070154},
ahigh={-220402.8219,-1072.926248,13.78367377,-0.0003093322915,
6.77752895e-008,-7.72730182e-012,3.56669022e-016},
bhigh={24310.20015,-43.42161815},
R_s=R_NASA_2002/C2CL3.MM);
constant IdealGases.Common.DataRecord C2CL4(
name="C2CL4",
MM=0.1658322,
Hf=-145930.6455561706,
H0=0,
Tlimit=1000,
alow={3.746257500e+004,-8.481774390e+002,1.009156041e+001,1.845463807e-002,-2.390899731e-005,
1.514828471e-008,-3.841119950e-012},
blow={-1.598289063e+003,-2.368079134e+001},
ahigh={-3.001289625e+005,-1.132413909e+003,1.683073063e+001,-3.288820170e-004,7.220975400e-008,
-8.245417760e-012,3.810154710e-016},
bhigh={-2.292758158e+003,-5.980164420e+001},
R_s=R_NASA_2002/C2CL4.MM);
constant IdealGases.Common.DataRecord C2CL6(
name="C2CL6",
MM=0.2367376,
Hf=-626009.5565723401,
H0=0,
Tlimit=1000,
alow={1.593451902e+005,-2.606697262e+003,2.028011918e+001,1.769364625e-002,-3.133104894e-005,
2.389395021e-008,-6.893037660e-012},
blow={-9.038007040e+003,-7.953073010e+001},
ahigh={-5.577351940e+005,-4.976576790e+002,2.237042798e+001,-1.477797229e-004,3.257641460e-008,
-3.727218070e-012,1.723860648e-016},
bhigh={-2.335217699e+004,-8.381736910e+001},
R_s=R_NASA_2002/C2CL6.MM);
constant IdealGases.Common.DataRecord C2F(
name="C2F",
MM=0.0430198032,
Hf=8225223.16884983,
H0=240982.8783224188,
Tlimit=1000,
alow={12497.97213,-348.387675,5.75508435,0.000852868538,2.353546435e-006,-2.804737097e-009,
9.083575639999999e-013},
blow={42815.2531,-6.43720096},
ahigh={289877.6676,-2016.644658,8.87504571,-0.000516684113,1.092094306e-007,
-1.212216787e-011,5.48228768e-016},
bhigh={52412.8792,-27.7308958},
R_s=R_NASA_2002/C2F.MM);
constant IdealGases.Common.DataRecord C2FCL(
name="C2FCL",
MM=0.0784728032,
Hf=430294.2882509389,
H0=176832.0543441476,
Tlimit=1000,
alow={26976.75344,-741.4403179999999,9.6296043,-0.000386554493,
3.003347997e-006,-2.710191661e-009,7.73758689e-013},
blow={5500.62039,-25.15774889},
ahigh={347145.489,-2348.4611,12.06875617,-0.000580469823,1.21273434e-007,-1.334214186e-011,
5.99255661e-016},
bhigh={15020.61224,-42.52445687},
R_s=R_NASA_2002/C2FCL.MM);
constant IdealGases.Common.DataRecord C2FCL3(
name="C2FCL3",
MM=0.1493788032,
Hf=-1111268.777389696,
H0=125398.7419816201,
Tlimit=1000,
alow={12372.82217,-470.396184,7.58162179,0.02305727066,-2.792144322e-005,
1.679699826e-008,-4.07757244e-012},
blow={-20313.33976,-9.274637513},
ahigh={-282950.5545,-1473.853145,17.07879074,-0.000426521339,
9.357199850000001e-008,-1.067932796e-011,4.93326161e-016},
bhigh={-17384.33314,-61.97054796},
R_s=R_NASA_2002/C2FCL3.MM);
constant IdealGases.Common.DataRecord C2F2(
name="C2F2",
MM=0.0620182064,
Hf=-2332632.567071465,
H0=213911.684488831,
Tlimit=1000,
alow={17763.13572,-611.328094,8.6636068,0.0009156381209999999,
2.363808425e-006,-2.753750054e-009,8.713935969999999e-013},
blow={-16496.11017,-21.65150307},
ahigh={419389.094,-2715.359989,12.30403413,-0.0006649305540000001,
1.385254301e-007,-1.520813764e-011,6.81982103e-016},
bhigh={-4179.221939999999,-46.7038623},
R_s=R_NASA_2002/C2F2.MM);
constant IdealGases.Common.DataRecord C2F2CL2(
name="C2F2CL2",
MM=0.1329242064,
Hf=-2541576.204588121,
H0=134934.2567901161,
Tlimit=1000,
alow={-115043.3214,2032.113595,-11.19750271,0.08342451400000001,-0.0001163698616,
7.83309289e-008,-2.070004069e-011},
blow={-52082.5681,88.88322147},
ahigh={-870256.566,726.472448,15.30689121,0.0003045597224,-7.04546804e-008,
8.28592434e-012,-3.89858107e-016},
bhigh={-52088.8871,-49.98300753},
R_s=R_NASA_2002/C2F2CL2.MM);
constant IdealGases.Common.DataRecord C2F3(
name="C2F3",
MM=0.0810166096,
Hf=-2816472.993952588,
H0=174823.0032079743,
Tlimit=1000,
alow={-26147.75016,210.1767714,2.32862508,0.02368943293,-2.416431591e-005,
1.224916093e-008,-2.488670434e-012},
blow={-30285.66585,16.9960879},
ahigh={-124260.3837,-2137.292446,14.55051371,-0.0006093891980000001,
1.331427672e-007,-1.515124358e-011,6.98411206e-016},
bhigh={-19771.46179,-54.21039870000001},
R_s=R_NASA_2002/C2F3.MM);
constant IdealGases.Common.DataRecord C2F3CL(
name="C2F3CL",
MM=0.1164696096,
Hf=-4423471.511318606,
H0=147061.1008212738,
Tlimit=1000,
alow={-8122.270309999999,-157.4007092,5.04181029,0.02621692321,-2.843001445e-005,
1.537643979e-008,-3.36073067e-012},
blow={-63540.49950000001,2.792301872},
ahigh={-216272.4659,-2195.103372,17.59605428,-0.000628261729,
1.37416661e-007,-1.565004037e-011,7.218309900000001e-016},
bhigh={-55151.095,-69.21931823999999},
R_s=R_NASA_2002/C2F3CL.MM);
constant IdealGases.Common.DataRecord C2F4(
name="C2F4",
MM=0.1000150128,
Hf=-6594010.054458545,
H0=163281.0269459867,
Tlimit=1000,
alow={-9991.530069999999,-129.1088427,4.50422905,0.0259202964,-2.63030872e-005,
1.316489777e-008,-2.625017169e-012},
blow={-80904.47080000001,3.27424147},
ahigh={-162991.5758,-2603.903955,17.88488423,-0.000739703801,
1.61446034e-007,-1.835820392e-011,8.45764107e-016},
bhigh={-70063.7166,-74.54165860000001},
R_s=R_NASA_2002/C2F4.MM);
constant IdealGases.Common.DataRecord C2F6(
name="C2F6",
MM=0.1380118192,
Hf=-9738296.384980919,
H0=146886.2603037118,
Tlimit=1000,
alow={-37953.717,799.82764,-4.67156181,0.0750145099,-9.812116100000001e-005,
6.31980759e-008,-1.622597311e-011},
blow={-167521.1878,50.537592},
ahigh={-1011551.484,-942.2140710000001,22.02553906,-0.000131451875,
1.8660453e-008,-3.46711861e-012,2.488311205e-016},
bhigh={-165743.4402,-93.02161150000001},
R_s=R_NASA_2002/C2F6.MM);
constant IdealGases.Common.DataRecord C2H(
name="C2H",
MM=0.02502934,
Hf=22621470.72196071,
H0=417457.3520516323,
Tlimit=1000,
alow={13436.69487,-506.797072,7.77210741,-0.00651233982,1.030117855e-005,-5.880147670000001e-009,
1.226901861e-012},
blow={68922.69989999999,-18.71881626},
ahigh={3922334.57,-12047.51703,17.5617292,-0.00365544294,6.98768543e-007,-6.82516201e-011,
2.719262793e-015},
bhigh={143326.6627,-95.6163438},
R_s=R_NASA_2002/C2H.MM);
constant IdealGases.Common.DataRecord C2HCL(
name="C2HCL",
MM=0.06048204,
Hf=3743259.982632861,
H0=0,
Tlimit=1000,
alow={1.329784931e+005,-2.174542005e+003,1.497980787e+001,-1.290343200e-002,1.602596399e-005,
-9.152047430e-009,2.021222995e-012},
blow={3.604801260e+004,-5.958236750e+001},
ahigh={1.152149855e+006,-4.461204350e+003,1.281367818e+001,-6.797397460e-004,1.151395389e-007,
-1.046657798e-011,3.949939170e-016},
bhigh={5.233955000e+004,-5.320661700e+001},
R_s=R_NASA_2002/C2HCL.MM);
constant IdealGases.Common.DataRecord C2HCL3(
name="C2HCL3",
MM=0.13138744,
Hf=-133193.8577994974,
H0=0,
Tlimit=1000,
alow={3.959233060e+004,-5.178756040e+002,5.155030160e+000,2.816922101e-002,-3.624741150e-005,
2.392073843e-008,-6.362400700e-012},
blow={-1.534345080e+003,1.209377115e+000},
ahigh={6.049298240e+005,-4.237003190e+003,1.846274582e+001,-8.137243260e-004,1.551223511e-007,
-1.584645594e-011,6.701006540e-016},
bhigh={1.848292676e+004,-7.698375250e+001},
R_s=R_NASA_2002/C2HCL3.MM);
constant IdealGases.Common.DataRecord C2HF(
name="C2HF",
MM=0.0440277432,
Hf=946955.282504691,
H0=259970.3543287678,
Tlimit=1000,
alow={91611.6911,-1537.245636,11.33665074,-0.00462472931,5.87798546e-006,-2.690992345e-009,
3.52471953e-013},
blow={10859.0282,-40.23994380000001},
ahigh={1234347.179,-4819.58196,13.02337752,-0.000749543582,1.285452942e-007,
-1.184559365e-011,4.53678476e-016},
bhigh={32368.1171,-56.4079182},
R_s=R_NASA_2002/C2HF.MM);
constant IdealGases.Common.DataRecord C2HFCL2(
name="C2HFCL2",
MM=0.1149337432,
Hf=-1467349.755645999,
H0=141466.6358834818,
Tlimit=1000,
alow={31173.99823,-136.9505457,1.176399869,0.040807766,-5.4181378e-005,
3.61360066e-008,-9.625862350000001e-012},
blow={-21151.42871,21.4643316},
ahigh={407124.352,-3808.20452,18.2114405,-0.000727896606,1.381532849e-007,-1.405342513e-011,
5.92000972e-016},
bhigh={-2676.849943,-75.67353566999999},
R_s=R_NASA_2002/C2HFCL2.MM);
constant IdealGases.Common.DataRecord C2HF2CL(
name="C2HF2CL",
MM=0.09847914640000001,
Hf=-3388067.54726298,
H0=154984.6293143743,
Tlimit=1000,
alow={170443.7675,-1667.236861,4.7887885,0.0444483001,-7.32219777e-005,
5.62934755e-008,-1.654638029e-011},
blow={-32918.0976,-5.78859364},
ahigh={583037.47,-3810.31741,17.99003171,-0.000588821086,1.002861284e-007,-9.149788100000001e-012,
3.45998516e-016},
bhigh={-22058.75409,-75.90948533},
R_s=R_NASA_2002/C2HF2CL.MM);
constant IdealGases.Common.DataRecord C2HF3(
name="C2HF3",
MM=0.0820245496,
Hf=-5986012.75343059,
H0=174673.461419409,
Tlimit=1000,
alow={-14109.69036,368.762492,-1.144797568,0.0395630602,-4.60200136e-005,
2.785149385e-008,-6.90376008e-012},
blow={-62264.1033,32.8966169},
ahigh={691741.378,-5260.30164,19.15276614,-0.001072493938,2.099276744e-007,
-2.195126633e-011,9.472702399999999e-016},
bhigh={-32476.4021,-87.5045695},
R_s=R_NASA_2002/C2HF3.MM);
constant IdealGases.Common.DataRecord C2H2_vinylidene(
name="C2H2_vinylidene",
MM=0.02603728,
Hf=15930556.80163212,
H0=417638.4015534649,
Tlimit=1000,
alow={-14660.42239,278.9475593,1.276229776,0.01395015463,-1.475702649e-005,
9.476298110000001e-009,-2.567602217e-012},
blow={47361.1018,16.58225704},
ahigh={1940838.725,-6892.718150000001,13.39582494,-0.0009368968669999999,
1.470804368e-007,-1.220040365e-011,4.12239166e-016},
bhigh={91071.1293,-63.3750293},
R_s=R_NASA_2002/C2H2_vinylidene.MM);
constant IdealGases.Common.DataRecord C2H2CL2(
name="C2H2CL2",
MM=0.09694328000000001,
Hf=35175.20760593204,
H0=153517.366030941,
Tlimit=1000,
alow={-12037.24514,462.903119,-1.318184584,0.039304496,-4.85152902e-005,
3.17841146e-008,-8.476938410000001e-012},
blow={-3251.80686,34.89218118},
ahigh={1561121.185,-7358.096350000001,20.11869185,-0.001310978834,
2.411885716e-007,-2.38416674e-011,9.78541575e-016},
bhigh={41222.009,-95.50252712000001},
R_s=R_NASA_2002/C2H2CL2.MM);
constant IdealGases.Common.DataRecord C2H2FCL(
name="C2H2FCL",
MM=0.08048868319999999,
Hf=-2050996.406411579,
H0=167344.1838591292,
Tlimit=1000,
alow={226015.4427,-2557.428772,9.2362412,0.02879408894,-5.16397547e-005,
4.25219103e-008,-1.311612713e-011},
blow={-8180.627839999999,-32.34787581},
ahigh={1527690.968,-6689.712229999999,19.5055383,-0.001040920895,
1.780587502e-007,-1.633098515e-011,6.213465560000001e-016},
bhigh={17052.66451,-91.94078300999999},
R_s=R_NASA_2002/C2H2FCL.MM);
constant IdealGases.Common.DataRecord C2H2F2(
name="C2H2F2",
MM=0.06403408640000001,
Hf=-5253452.011458697,
H0=194891.2477964236,
Tlimit=1000,
alow={57029.3581,-676.28604,4.11741171,0.01822618762,-6.86133154e-006,-3.29575674e-009,
2.180965597e-012},
blow={-38386.5078,1.487528685},
ahigh={-822719.275,-2915.718833,18.30163995,-0.001039630129,
2.546725128e-007,-3.157578705e-011,1.55154096e-015},
bhigh={-31100.28589,-84.00834700000002},
R_s=R_NASA_2002/C2H2F2.MM);
constant IdealGases.Common.DataRecord CH2CO_ketene(
name="CH2CO_ketene",
MM=0.04203668,
Hf=-1179353.245784396,
H0=0,
Tlimit=1000,
alow={35495.9809,-406.306283,3.71892192,0.01583501817,-1.726195691e-005,
1.157376959e-008,-3.30584263e-012},
blow={-5.209992580e+003,3.839604220e+000},
ahigh={2013564.915,-8200.88746,17.59694074,-0.001464544521,2.695886969e-007,
-2.66567484e-011,1.094204522e-015},
bhigh={4.177776880e+004,-8.725803580e+001},
R_s=R_NASA_2002/CH2CO_ketene.MM);
constant IdealGases.Common.DataRecord O_CH_2O(
name="O_CH_2O",
MM=0.05803608,
Hf=-3652900.058032865,
H0=0,
Tlimit=1000,
alow={-229245.9698,3724.09805,-18.93769993,0.0751174414,-8.083855420000001e-005,
4.35823319e-008,-9.36453933e-012},
blow={-4.454486010e+004,1.327028760e+002},
ahigh={267806.3593,-4436.61748,17.81696797,-0.000709717378,1.272621878e-007,
-1.237226678e-011,5.025057520e-016},
bhigh={-4.479608280e+003,-8.156700640e+001},
R_s=R_NASA_2002/O_CH_2O.MM);
constant IdealGases.Common.DataRecord HO_CO_2OH(
name="HO_CO_2OH",
MM=0.09003488,
Hf=-8127961.074641295,
H0=0,
Tlimit=1000,
alow={30725.13274,-391.617469,3.17838864,0.0374128975,-4.00975396e-005,
2.288662646e-008,-5.386771549999999e-012},
blow={-8.797942550e+004,9.751091370e+000},
ahigh={1805560.696,-9240.33315,26.25742604,-0.001418458557,2.526840574e-007,
-2.521005198e-011,1.040036111e-015},
bhigh={-3.754286460e+004,-1.326879788e+002},
R_s=R_NASA_2002/HO_CO_2OH.MM);
constant IdealGases.Common.DataRecord C2H3_vinyl(
name="C2H3_vinyl",
MM=0.02704522,
Hf=11080953.19616553,
H0=389044.3856622353,
Tlimit=1000,
alow={-33478.9687,1064.104103,-6.40385706,0.0393451548,-4.76004609e-005,
3.17007135e-008,-8.633406430000001e-012},
blow={30391.22649,58.0922618},
ahigh={2718080.093,-10309.56829,18.36579807,-0.001580131153,
2.680594939e-007,-2.439003999e-011,9.20909639e-016},
bhigh={97650.55589999999,-97.6008686},
R_s=R_NASA_2002/C2H3_vinyl.MM);
constant IdealGases.Common.DataRecord CH2BrminusCOOH(
name="CH2BrminusCOOH",
MM=0.13894802,
Hf=-2760024.935943672,
H0=0,
Tlimit=1000,
alow={-78324.84789999999,1648.865353,-9.34953363,0.06879635440000001,-8.374880770000001e-005,
5.40603842e-008,-1.423159923e-011},
blow={-5.541187620e+004,8.165423200e+001},
ahigh={2486349.85,-11402.56346,27.56020307,-0.00184318701,3.26539274e-007,
-3.122663159e-011,1.223452495e-015},
bhigh={1.837013127e+004,-1.420040888e+002},
R_s=R_NASA_2002/CH2BrminusCOOH.MM);
constant IdealGases.Common.DataRecord C2H3CL(
name="C2H3CL",
MM=0.06249792,
Hf=352011.7149498736,
H0=0,
Tlimit=1000,
alow={-1.688896130e+004,8.545105550e+002,-6.514968110e+000,4.944682090e-002,-6.117756910e-005,
4.067294030e-008,-1.101392662e-011},
blow={-2.069321797e+003,5.928435530e+001},
ahigh={2.456178566e+006,-1.047452720e+004,2.178736544e+001,-1.816893523e-003,3.296374030e-007,
-3.214400710e-011,1.302256512e-015},
bhigh={6.346231290e+004,-1.149890773e+002},
R_s=R_NASA_2002/C2H3CL.MM);
constant IdealGases.Common.DataRecord CH2CLminusCOOH(
name="CH2CLminusCOOH",
MM=0.09449671999999999,
Hf=-4525024.783929008,
H0=0,
Tlimit=1000,
alow={-1.122506431e+005,2.168288546e+003,-1.227791221e+001,7.514388060e-002,-9.083158490e-005,
5.812363980e-008,-1.518247440e-011},
blow={-6.314314500e+004,9.694389710e+001},
ahigh={2.472881709e+006,-1.152275613e+004,2.766275288e+001,-1.886429520e-003,3.361772590e-007,
-3.231268060e-011,1.273273865e-015},
bhigh={1.370384800e+004,-1.443191119e+002},
R_s=R_NASA_2002/CH2CLminusCOOH.MM);
constant IdealGases.Common.DataRecord C2H3F(
name="C2H3F",
MM=0.0460436232,
Hf=-3042766.625715937,
H0=246199.7386860728,
Tlimit=1000,
alow={-45791.3496,1411.541724,-10.21500877,0.0577581657,-7.08067749e-005,
4.64085076e-008,-1.240455865e-011},
blow={-24027.88827,78.6082839},
ahigh={2478832.34,-10759.32307,21.94796688,-0.00186911411,3.39528067e-007,-3.31538293e-011,
1.345081799e-015},
bhigh={45634.5555,-118.0410277},
R_s=R_NASA_2002/C2H3F.MM);
constant IdealGases.Common.DataRecord CH3CN(
name="CH3CN",
MM=0.04105192000000001,
Hf=1618194.715375066,
H0=294594.9422097675,
Tlimit=1000,
alow={-99659.88380000001,1739.278534,-7.89842082,0.0429489432,-4.49997388e-005,
2.717105086e-008,-7.026117590000001e-012},
blow={-1461.161333,68.52508274},
ahigh={2923231.393,-12337.92258,23.24477222,-0.002411565845,
4.622157170000001e-007,-4.74060124e-011,2.010639467e-015},
bhigh={80585.65550000001,-129.2249102},
R_s=R_NASA_2002/CH3CN.MM);
constant IdealGases.Common.DataRecord CH3CO_acetyl(
name="CH3CO_acetyl",
MM=0.04304462,
Hf=-232317.0700542832,
H0=302859.3817299352,
Tlimit=1000,
alow={-71938.94130000001,1464.465167,-6.63227613,0.04108468379999999,-4.22625664e-005,
2.485766819e-008,-6.29255848e-012},
blow={-9309.37081,64.22897619999999},
ahigh={2485388.15,-11207.14204,22.77525438,-0.00231426055,4.53618917e-007,-4.74263555e-011,
2.044663903e-015},
bhigh={63800.8841,-121.5350925},
R_s=R_NASA_2002/CH3CO_acetyl.MM);
constant IdealGases.Common.DataRecord C2H4(
name="C2H4",
MM=0.02805316,
Hf=1871446.924339362,
H0=374955.5843263291,
Tlimit=1000,
alow={-116360.5836,2554.85151,-16.09746428,0.0662577932,-7.885081859999999e-005,
5.12522482e-008,-1.370340031e-011},
blow={-6176.19107,109.3338343},
ahigh={3408763.67,-13748.47903,23.65898074,-0.002423804419,4.43139566e-007,
-4.35268339e-011,1.775410633e-015},
bhigh={88204.2938,-137.1278108},
R_s=R_NASA_2002/C2H4.MM);
constant IdealGases.Common.DataRecord C2H4O_ethylen_o(
name="C2H4O_ethylen_o",
MM=0.04405256,
Hf=-1194816.373895183,
H0=245856.6539606325,
Tlimit=1000,
alow={-172823.3345,3816.6788,-26.29851977,0.1014103162,-0.0001240578373,
8.03404035e-008,-2.120942544e-011},
blow={-24375.19333,165.4885056},
ahigh={3151809.957,-14236.46316,27.08080476,-0.002606238456,
4.853891929999999e-007,-4.85214476e-011,2.011778721e-015},
bhigh={76625.61440000001,-156.3952401},
R_s=R_NASA_2002/C2H4O_ethylen_o.MM);
constant IdealGases.Common.DataRecord CH3CHO_ethanal(
name="CH3CHO_ethanal",
MM=0.04405256,
Hf=-3772538.98524853,
H0=292757.4697134514,
Tlimit=1000,
alow={-137390.4369,2559.937679,-13.40470172,0.05922128619999999,-6.24000605e-005,
3.70332441e-008,-9.34269741e-012},
blow={-33187.3131,100.7417652},
ahigh={3321176.59,-14497.19957,27.08421279,-0.002879320054,5.55630992e-007,
-5.73267488e-011,2.443965239e-015},
bhigh={65077.5564,-153.6236027},
R_s=R_NASA_2002/CH3CHO_ethanal.MM);
constant IdealGases.Common.DataRecord CH3COOH(
name="CH3COOH",
MM=0.06005196,
Hf=-7197917.270310578,
H0=226427.097466927,
Tlimit=1000,
alow={-32191.9198,1196.329795,-8.70582402,0.0569625759,-5.75788716e-005,
3.35211522e-008,-8.614438229999999e-012},
blow={-58401.12869999999,72.82413919999999},
ahigh={2103514.223,-14678.22192,33.8280283,-0.00569485868,1.343221353e-006,
-1.606041158e-010,7.652794250000001e-015},
bhigh={29242.28407,-193.527885},
R_s=R_NASA_2002/CH3COOH.MM);
constant IdealGases.Common.DataRecord OHCH2COOH(
name="OHCH2COOH",
MM=0.07605136,
Hf=-7665872.115896415,
H0=223625.7050498505,
Tlimit=1000,
alow={-313897.858,5693.06877,-36.8516029,0.1563502811,-0.0002039487993,
1.340232412e-007,-3.50913026e-011},
blow={-98016.40089999999,226.9492355},
ahigh={1946628.253,-9804.020200000001,28.44111243,-0.000787640475,
6.416275950000001e-008,1.069321262e-012,-3.23717828e-016},
bhigh={-16946.5047,-147.4109363},
R_s=R_NASA_2002/OHCH2COOH.MM);
constant IdealGases.Common.DataRecord C2H5(
name="C2H5",
MM=0.0290611,
Hf=4083060.861426443,
H0=419296.7919314823,
Tlimit=1000,
alow={-141131.2551,2714.285088,-15.34977725,0.06451672580000001,-7.259143960000001e-005,
4.59911601e-008,-1.218367535e-011},
blow={598.141884,109.096652},
ahigh={4169220.4,-16629.82142,27.95442134,-0.003051715761,
5.685160040000001e-007,-5.6828636e-011,2.355648561e-015},
bhigh={113701.0087,-163.9357995},
R_s=R_NASA_2002/C2H5.MM);
constant IdealGases.Common.DataRecord C2H5Br(
name="C2H5Br",
MM=0.1089651,
Hf=-583673.1210268242,
H0=124526.1097360531,
Tlimit=1000,
alow={-137417.2662,2861.429418,-18.24108956,0.08566230600000001,-0.0001047174473,
6.906074570000001e-008,-1.862276022e-011},
blow={-21984.80205,125.8435579},
ahigh={2378649.403,-12670.33647,27.77558646,-0.002010898783,4.43608341e-007,
-5.34819809e-011,2.63983585e-015},
bhigh={64140.6205,-152.8277085},
R_s=R_NASA_2002/C2H5Br.MM);
constant IdealGases.Common.DataRecord C2H6(
name="C2H6",
MM=0.03006904,
Hf=-2788633.890539904,
H0=395476.3437741943,
Tlimit=1000,
alow={-186204.4161,3406.19186,-19.51705092,0.0756583559,-8.20417322e-005,
5.0611358e-008,-1.319281992e-011},
blow={-27029.3289,129.8140496},
ahigh={5025782.13,-20330.22397,33.2255293,-0.00383670341,7.23840586e-007,-7.3191825e-011,
3.065468699e-015},
bhigh={111596.395,-203.9410584},
R_s=R_NASA_2002/C2H6.MM);
constant IdealGases.Common.DataRecord CH3N2CH3(
name="CH3N2CH3",
MM=0.05808244,
Hf=2560143.134482642,
H0=284509.3801155737,
Tlimit=1000,
alow={-373849.232,5880.45313,-29.86398524,0.1087380861,-0.0001167950177,
6.916894889999999e-008,-1.719950055e-011},
blow={-11899.84084,194.8246321},
ahigh={4993357.09,-21609.96161,39.6444992,-0.00419645011,
8.023361980000001e-007,-8.212260020000001e-011,3.47723744e-015},
bhigh={144996.261,-237.2109745},
R_s=R_NASA_2002/CH3N2CH3.MM);
constant IdealGases.Common.DataRecord C2H5OH(
name="C2H5OH",
MM=0.04606844,
Hf=-5100020.751733725,
H0=315659.1801241805,
Tlimit=1000,
alow={-234279.1392,4479.18055,-27.44817302,0.1088679162,-0.0001305309334,
8.437346399999999e-008,-2.234559017e-011},
blow={-50222.29,176.4829211},
ahigh={4694817.65,-19297.98213,34.4758404,-0.00323616598,5.78494772e-007,-5.56460027e-011,
2.2262264e-015},
bhigh={86016.22709999999,-203.4801732},
R_s=R_NASA_2002/C2H5OH.MM);
constant IdealGases.Common.DataRecord CH3OCH3(
name="CH3OCH3",
MM=0.04606844,
Hf=-3996445.288792067,
H0=311588.1284454173,
Tlimit=1000,
alow={-269310.3242,4300.709709999999,-21.52788028,0.08131833390000001,-8.29567132e-005,
4.80191151e-008,-1.188699808e-011},
blow={-44102.3709,146.7666934},
ahigh={4933577.19,-20830.94065,36.2905061,-0.004108351640000001,
7.90322031e-007,-8.13143563e-011,3.45816611e-015},
bhigh={101330.1012,-218.5447466},
R_s=R_NASA_2002/CH3OCH3.MM);
constant IdealGases.Common.DataRecord CH3O2CH3(
name="CH3O2CH3",
MM=0.06206784,
Hf=-2021981.109701901,
H0=276365.9247687692,
Tlimit=1000,
alow={-228578.4757,3820.14257,-19.76647823,0.0884074386,-9.641284560000001e-005,
5.90720083e-008,-1.526491225e-011},
blow={-34920.1696,138.6769151},
ahigh={5316368.47,-22212.67874,40.3433509,-0.00461274809,
8.792987200000001e-007,-9.068221189999999e-011,3.865664890000001e-015},
bhigh={116159.6028,-239.5296055},
R_s=R_NASA_2002/CH3O2CH3.MM);
constant IdealGases.Common.DataRecord CCN(
name="CCN",
MM=0.0380281,
Hf=21157945.62441983,
H0=290272.8245692001,
Tlimit=1000,
alow={-16962.81385,98.3789163,3.81266294,0.00534689423,-2.473598508e-006,-3.73056422e-010,
4.48175686e-013},
blow={94800.72570000001,5.553165572},
ahigh={79486.74890000001,-1344.786906,8.309986459999999,-0.0002220105361,
1.753683113e-008,2.545998719e-012,-2.645649117e-016},
bhigh={102318.7495,-22.5979394},
R_s=R_NASA_2002/CCN.MM);
constant IdealGases.Common.DataRecord CNC(
name="CNC",
MM=0.0380281,
Hf=18010748.86728498,
H0=298637.3497492644,
Tlimit=1000,
alow={-70751.9271,1007.523898,-1.576789967,0.02052532634,-2.278935009e-005,
1.283362343e-008,-2.933174091e-012},
blow={76133.2485,34.87094132},
ahigh={-90313.13559999999,-831.32365,8.11473595,-0.0002447691991,
5.39750877e-008,-6.18398486e-012,2.865172411e-016},
bhigh={84518.33600000001,-21.02937255},
R_s=R_NASA_2002/CNC.MM);
constant IdealGases.Common.DataRecord OCCN(
name="OCCN",
MM=0.05402754,
Hf=3886906.566539954,
H0=251618.9150940428,
Tlimit=1000,
alow={24288.01276,-552.586462,8.58783817,-0.00337938777,1.119841826e-005,-1.008408077e-008,
3.086448824e-012},
blow={25996.20072,-16.59592359},
ahigh={935913.1680000001,-4441.082289999999,13.68959297,-0.001647530917,
3.81987344e-007,-3.945161e-011,1.509598839e-015},
bhigh={49512.2278,-54.1708968},
R_s=R_NASA_2002/OCCN.MM);
constant IdealGases.Common.DataRecord C2N2(
name="C2N2",
MM=0.0520348,
Hf=5940255.367561709,
H0=244358.6407558019,
Tlimit=1000,
alow={108240.4484,-1928.137871,15.53891898,-0.01821159329,2.77884084e-005,-1.899434373e-008,
4.94967772e-012},
blow={44490.9759,-60.90964741},
ahigh={793442.372,-3997.37627,13.1449743,-0.0008747782000000001,
2.059156733e-007,-2.200469389e-011,9.97448577e-016},
bhigh={58636.323,-54.73201251},
R_s=R_NASA_2002/C2N2.MM);
constant IdealGases.Common.DataRecord C2O(
name="C2O",
MM=0.0400208,
Hf=7272185.113740855,
H0=262006.7065126135,
Tlimit=1000,
alow={-3959.92942,-111.7516348,4.59396006,0.00371060202,-7.01476018e-007,-1.371129839e-009,
7.123853999999999e-013},
blow={34101.0974,0.4622805600000001},
ahigh={-634805.659,1184.133091,4.87917334,0.001757538773,-3.95755227e-007,
3.98917994e-011,-1.546043135e-015},
bhigh={24898.03938,0.980904059},
R_s=R_NASA_2002/C2O.MM);
constant IdealGases.Common.DataRecord C3(
name="C3",
MM=0.0360321,
Hf=23311121.08370037,
H0=336065.5082551392,
Tlimit=1000,
alow={-43546.1448,666.018322,1.451033157,0.00743451312,-3.81015299e-006,-2.336961396e-011,
4.40705453e-013},
blow={96351.70199999999,20.25173297},
ahigh={4508098.93,-14610.33761,22.81974644,-0.008544340610000001,
2.146069341e-006,-2.103867761e-010,6.351589060000001e-015},
bhigh={191197.6065,-127.1869723},
R_s=R_NASA_2002/C3.MM);
constant IdealGases.Common.DataRecord C3H3_1_propynl(
name="C3H3_1_propynl",
MM=0.03905592,
Hf=11521940.84789195,
H0=317493.4811419114,
Tlimit=1000,
alow={-65058.5935,1350.858921,-5.82543393,0.0375661048,-3.73490334e-005,
2.117676603e-008,-5.139113250000001e-012},
blow={46565.1053,57.8147755},
ahigh={4550654.87,-16405.74172,27.12605991,-0.00447460038,1.037712415e-006,
-1.250211369e-010,6.02658205e-015},
bhigh={153408.7662,-156.5931809},
R_s=R_NASA_2002/C3H3_1_propynl.MM);
constant IdealGases.Common.DataRecord C3H3_2_propynl(
name="C3H3_2_propynl",
MM=0.03905592,
Hf=8495511.051845662,
H0=338745.0609280232,
Tlimit=1000,
alow={61885.78320000001,-890.957867,6.34755882,0.01633173115,-1.949975695e-005,
1.417349778e-008,-4.19986632e-012},
blow={42717.8583,-12.31400729},
ahigh={2989723.833,-11189.54446,22.22225052,-0.002068106902,4.12188364e-007,
-4.43898059e-011,1.970824701e-015},
bhigh={106187.8289,-118.6744583},
R_s=R_NASA_2002/C3H3_2_propynl.MM);
constant IdealGases.Common.DataRecord C3H4_allene(
name="C3H4_allene",
MM=0.04006386,
Hf=4765392.051589637,
H0=314611.9470265721,
Tlimit=1000,
alow={-16451.55745,962.945781,-7.53232668,0.05518219110000001,-6.73358512e-005,
4.53270905e-008,-1.251837614e-011},
blow={17724.94269,61.5196976},
ahigh={3479355.1,-14304.12453,27.02534756,-0.002557412369,4.70664675e-007,-4.65168807e-011,
1.908219044e-015},
bhigh={107231.2354,-154.8846158},
R_s=R_NASA_2002/C3H4_allene.MM);
constant IdealGases.Common.DataRecord C3H4_propyne(
name="C3H4_propyne",
MM=0.04006386,
Hf=4615131.941854829,
H0=325243.6485151456,
Tlimit=1000,
alow={-35638.844,832.81391,-4.07375944,0.04113929609999999,-4.47044495e-005,
2.847458197e-008,-7.69529824e-012},
blow={17102.06236,45.1672095},
ahigh={3710441.42,-14891.45507,27.32397127,-0.00264526477,
4.858300350000001e-007,-4.79412848e-011,1.964338121e-015},
bhigh={110489.8462,-156.7992462},
R_s=R_NASA_2002/C3H4_propyne.MM);
constant IdealGases.Common.DataRecord C3H4_cyclo(
name="C3H4_cyclo",
MM=0.04006386,
Hf=6916457.875002559,
H0=283888.3472536096,
Tlimit=1000,
alow={-19695.20627,1505.379338,-14.18206573,0.07642632960000001,-9.765583660000001e-005,
6.61200382e-008,-1.811251145e-011},
blow={26256.31782,96.0463189},
ahigh={3168399.58,-13710.44699,26.64303646,-0.00242040805,4.42799413e-007,-4.3518202e-011,
1.775948955e-015},
bhigh={113368.3702,-152.2619086},
R_s=R_NASA_2002/C3H4_cyclo.MM);
constant IdealGases.Common.DataRecord C3H5_allyl(
name="C3H5_allyl",
MM=0.04107180000000001,
Hf=3983131.97863254,
H0=310157.4072721429,
Tlimit=1000,
alow={-43159.9614,1441.600907,-11.97014426,0.0731979646,-9.066357849999999e-005,
6.077059450000001e-008,-1.658826363e-011},
blow={12321.5746,85.63173239999999},
ahigh={4094570.59,-16766.76186,31.23006342,-0.002885449982,5.21134354e-007,
-5.05828422e-011,2.039932554e-015},
bhigh={118572.0481,-182.3070197},
R_s=R_NASA_2002/C3H5_allyl.MM);
constant IdealGases.Common.DataRecord C3H6_propylene(
name="C3H6_propylene",
MM=0.04207974,
Hf=475288.1077687267,
H0=322020.9535515191,
Tlimit=1000,
alow={-191246.2174,3542.07424,-21.14878626,0.0890148479,-0.0001001429154,
6.267959389999999e-008,-1.637870781e-011},
blow={-15299.61824,140.7641382},
ahigh={5017620.34,-20860.84035,36.4415634,-0.00388119117,7.27867719e-007,-7.321204500000001e-011,
3.052176369e-015},
bhigh={126124.5355,-219.5715757},
R_s=R_NASA_2002/C3H6_propylene.MM);
constant IdealGases.Common.DataRecord C3H6_cyclo(
name="C3H6_cyclo",
MM=0.04207974,
Hf=1266642.807203657,
H0=271151.4139583562,
Tlimit=1000,
alow={-156578.777,4111.12987,-32.3344746,0.1306337881,-0.0001645563833,
1.095708326e-007,-2.956394783e-011},
blow={-12452.71686,193.1559109},
ahigh={4785000.67,-20421.18175,36.3149578,-0.00356131944,6.47624124e-007,-6.328430100000001e-011,
2.568705857e-015},
bhigh={126827.4126,-222.3729099},
R_s=R_NASA_2002/C3H6_cyclo.MM);
constant IdealGases.Common.DataRecord C3H6O_propylox(
name="C3H6O_propylox",
MM=0.05807914,
Hf=-1613660.25736607,
H0=248031.4446804825,
Tlimit=1000,
alow={-229280.8804,4495.75054,-29.41117945,0.1213113827,-0.0001440060464,
9.202051750000001e-008,-2.416278343e-011},
blow={-33176.9721,184.6878218},
ahigh={4789729.989999999,-21068.95971,39.5464773,-0.00391092998,
7.32553151e-007,-7.35708597e-011,3.0606185e-015},
bhigh={112034.454,-237.2004192},
R_s=R_NASA_2002/C3H6O_propylox.MM);
constant IdealGases.Common.DataRecord C3H6O_acetone(
name="C3H6O_acetone",
MM=0.05807914,
Hf=-3738857.014756073,
H0=278812.5478442002,
Tlimit=1000,
alow={-227780.2525,4215.28001,-24.15785316,0.0990748332,-0.0001084940903,
6.583355959999999e-008,-1.676046146e-011},
blow={-47262.4394,160.7926432},
ahigh={5001601.92,-21701.55542,39.6449399,-0.00417994505,7.96242953e-007,-8.122558050000001e-011,
3.42878096e-015},
bhigh={101514.5028,-236.8533477},
R_s=R_NASA_2002/C3H6O_acetone.MM);
constant IdealGases.Common.DataRecord C3H6O_propanal(
name="C3H6O_propanal",
MM=0.05807914,
Hf=-3202526.759177219,
H0=298339.0594282216,
Tlimit=1000,
alow={-265578.1702,4250.64045,-21.09249262,0.09194256120000001,-0.0001004653044,
6.13331482e-008,-1.576298535e-011},
blow={-44503.7105,145.6678605},
ahigh={4830933.489999999,-20754.51152,39.2485518,-0.004095514,
7.88169216e-007,-8.107684080000001e-011,3.43710543e-015},
bhigh={99449.37879999999,-231.6690627},
R_s=R_NASA_2002/C3H6O_propanal.MM);
constant IdealGases.Common.DataRecord C3H7_n_propyl(
name="C3H7_n_propyl",
MM=0.04308768,
Hf=2332453.267384088,
H0=344879.5108021598,
Tlimit=1000,
alow={-189533.7073,3949.51726,-26.06216089,0.1121920441,-0.0001365292213,
9.02366272e-008,-2.44105699e-011},
blow={-7227.87744,167.3705556},
ahigh={5646512.94,-22910.87136,39.8727518,-0.004106232870000001,
7.56255777e-007,-7.47826302e-011,3.068983677e-015},
bhigh={148300.6853,-240.378119},
R_s=R_NASA_2002/C3H7_n_propyl.MM);
constant IdealGases.Common.DataRecord C3H7_i_propyl(
name="C3H7_i_propyl",
MM=0.04308768,
Hf=2165352.137780452,
H0=343652.9188853984,
Tlimit=1000,
alow={-295206.3445,5294.4323,-31.05287013,0.1143871563,-0.0001291752393,
8.05784376e-008,-2.093908432e-011},
blow={-14768.15514,198.808236},
ahigh={5807002.520000001,-24112.19997,40.852884,-0.00451785133,
8.499427170000001e-007,-8.573514339999999e-011,3.58338396e-015},
bhigh={154650.405,-248.7098372},
R_s=R_NASA_2002/C3H7_i_propyl.MM);
constant IdealGases.Common.DataRecord C3H8(
name="C3H8",
MM=0.04409562,
Hf=-2373931.923397381,
H0=334301.1845620949,
Tlimit=1000,
alow={-243314.4337,4656.27081,-29.39466091,0.1188952745,-0.0001376308269,
8.814823909999999e-008,-2.342987994e-011},
blow={-35403.3527,184.1749277},
ahigh={6420731.680000001,-26597.91134,45.3435684,-0.00502066392,
9.471216939999999e-007,-9.57540523e-011,4.00967288e-015},
bhigh={145558.2459,-281.8374734},
R_s=R_NASA_2002/C3H8.MM);
constant IdealGases.Common.DataRecord C3H8O_1propanol(
name="C3H8O_1propanol",
MM=0.06009502,
Hf=-4246608.121604752,
H0=291517.6498818038,
Tlimit=1000,
alow={-261697.3337,5192.37666,-32.9648116,0.1354568128,-0.0001593156164,
1.01949816e-007,-2.688552974e-011},
blow={-56128.5435,208.5024431},
ahigh={6308672.12,-26422.10376,47.1511259,-0.004642511930000001,
8.59346536e-007,-8.68209182e-011,3.64222401e-015},
bhigh={125500.3155,-285.9463804},
R_s=R_NASA_2002/C3H8O_1propanol.MM);
constant IdealGases.Common.DataRecord C3H8O_2propanol(
name="C3H8O_2propanol",
MM=0.06009502,
Hf=-4537813.615837053,
H0=287291.2763819697,
Tlimit=1000,
alow={-338651.024,6106.048000000001,-37.9141804,0.1530494531,-0.0001864354461,
1.213257738e-007,-3.22043349e-011},
blow={-62799.5935,233.432261},
ahigh={6001074.75,-25058.7683,46.22096120000001,-0.00427246631,
7.69367877e-007,-7.45058484e-011,2.998959935e-015},
bhigh={114851.8732,-279.6132222},
R_s=R_NASA_2002/C3H8O_2propanol.MM);
constant IdealGases.Common.DataRecord CNCOCN(
name="CNCOCN",
MM=0.08004498,
Hf=3092011.516524834,
H0=214226.5261356802,
Tlimit=1000,
alow={113105.2075,-1978.834961,16.26886206,-0.008330803440000001,
1.884127045e-005,-1.530681289e-008,4.4181253e-012},
blow={36802.6174,-59.6332728},
ahigh={700052.2440000001,-5086.002009999999,19.4675349,-0.001302852727,
2.75360075e-007,-3.056290852e-011,1.382140838e-015},
bhigh={55393.3888,-86.2755086},
R_s=R_NASA_2002/CNCOCN.MM);
constant IdealGases.Common.DataRecord C3O2(
name="C3O2",
MM=0.06803090000000001,
Hf=-1376403.957613379,
H0=221737.2252902725,
Tlimit=1000,
alow={157987.3382,-2529.493506,18.01761578,-0.01786032042,2.978671986e-005,
-2.182900022e-008,6.013797219999999e-012},
blow={-1121.054014,-72.77721170000001},
ahigh={696869.9889999999,-4624.73319,16.63905725,-0.001175486554,
2.478106444e-007,-2.745165984e-011,1.239566766e-015},
bhigh={12525.80069,-72.75968780000001},
R_s=R_NASA_2002/C3O2.MM);
constant IdealGases.Common.DataRecord C4(
name="C4",
MM=0.0480428,
Hf=21520472.20395147,
H0=273042.8284779405,
Tlimit=1000,
alow={39037.805,-894.8280779999999,10.50952925,-0.00655289446,
1.243940464e-005,-8.645341370000001e-009,2.263638846e-012},
blow={126642.5869,-30.77594475},
ahigh={920068.513,-1530.3118,6.0500692,0.00525274367,-1.779154772e-006,
2.589873632e-010,-1.385553481e-014},
bhigh={133438.9611,-7.26114882},
R_s=R_NASA_2002/C4.MM);
constant IdealGases.Common.DataRecord C4H2_butadiyne(
name="C4H2_butadiyne",
MM=0.05005868,
Hf=8989449.98150171,
H0=287539.743357196,
Tlimit=1000,
alow={246754.2569,-3897.85564,23.66080456,-0.02208077805,2.78110114e-005,-1.57734001e-008,
3.42316546e-012},
blow={70869.0782,-110.917356},
ahigh={2328179.913,-8925.186090000001,21.14326883,-0.001368871276,
2.327503159e-007,-2.124517624e-011,8.053313019999999e-016},
bhigh={105778.8416,-108.8313574},
R_s=R_NASA_2002/C4H2_butadiyne.MM);
constant IdealGases.Common.DataRecord C4H4_1_3minuscyclo(
name="C4H4_1_3minuscyclo",
MM=0.05207456,
Hf=7393245.377397331,
H0=232427.0046640816,
Tlimit=1000,
alow={-27784.28049,1768.176915,-17.57895171,0.09383512919999999,-0.0001195524281,
7.97808619e-008,-2.1527511e-011},
blow={38116.2712,112.8478124},
ahigh={2991498.949,-14167.81502,30.01978876,-0.002579200423,4.78999045e-007,
-4.77532971e-011,1.974923662e-015},
bhigh={127466.692,-172.7532057},
R_s=R_NASA_2002/C4H4_1_3minuscyclo.MM);
constant IdealGases.Common.DataRecord C4H6_butadiene(
name="C4H6_butadiene",
MM=0.05409044,
Hf=2033631.081573749,
H0=279716.7114928257,
Tlimit=1000,
alow={-91811.30530000001,3312.57053,-29.85828611,0.1479201147,-0.0002056618326,
1.466496826e-007,-4.14528573e-011},
blow={-2077.309444,178.0687329},
ahigh={-23619031.88,56513.2337,-32.7573832,0.02293070572,-2.297106441e-006,
4.29259621e-011,4.23676604e-015},
bhigh={-367135.862,301.3437302},
R_s=R_NASA_2002/C4H6_butadiene.MM);
constant IdealGases.Common.DataRecord C4H6_1butyne(
name="C4H6_1butyne",
MM=0.05409044,
Hf=3054144.133418031,
H0=296170.635698286,
Tlimit=1000,
alow={-55970.3997,1433.191711,-9.691210720000001,0.0715000239,-8.1579678e-005,
5.29036497e-008,-1.435655372e-011},
blow={11849.87013,76.6022536},
ahigh={6364402.7,-23920.87731,40.7375041,-0.00317672649,1.199856984e-007,
3.20180251e-011,-2.854392633e-015},
bhigh={163433.5546,-246.0284791},
R_s=R_NASA_2002/C4H6_1butyne.MM);
constant IdealGases.Common.DataRecord C4H6_2butyne(
name="C4H6_2butyne",
MM=0.05409044,
Hf=2693636.805320866,
H0=307632.9199762472,
Tlimit=1000,
alow={-265075.6405,4490.72869,-24.00723889,0.0981957955,-0.0001079717182,
6.675555770000001e-008,-1.740766886e-011},
blow={-5328.36371,159.5035268},
ahigh={3981304.33,-18730.32899,36.5456149,-0.002369686378,3.99021181e-007,-3.69870727e-011,
1.442072006e-015},
bhigh={126146.0214,-215.5866205},
R_s=R_NASA_2002/C4H6_2butyne.MM);
constant IdealGases.Common.DataRecord C4H6_cyclo(
name="C4H6_cyclo",
MM=0.05409044,
Hf=2896999.913478241,
H0=232158.6587204689,
Tlimit=1000,
alow={-204670.7734,4919.47057,-37.5327816,0.1497293031,-0.0001860139375,
1.219909019e-007,-3.25407359e-011},
blow={-3915.95054,223.3282138},
ahigh={4517367.819999999,-20973.11985,40.0803917,-0.00394979398,
7.44848499e-007,-7.52975417e-011,3.153253502e-015},
bhigh={140646.9848,-243.4836999},
R_s=R_NASA_2002/C4H6_cyclo.MM);
constant IdealGases.Common.DataRecord C4H8_1_butene(
name="C4H8_1_butene",
MM=0.05610631999999999,
Hf=-9624.584182316718,
H0=305134.9651875226,
Tlimit=1000,
alow={-272149.2014,5100.079250000001,-31.8378625,0.1317754442,-0.0001527359339,
9.714761109999999e-008,-2.56020447e-011},
blow={-25230.96386,200.6932108},
ahigh={6257948.609999999,-26603.76305,47.6492005,-0.00438326711,
7.12883844e-007,-5.991020839999999e-011,2.051753504e-015},
bhigh={156925.2657,-291.3869761},
R_s=R_NASA_2002/C4H8_1_butene.MM);
constant IdealGases.Common.DataRecord C4H8_cis2_buten(
name="C4H8_cis2_buten",
MM=0.05610631999999999,
Hf=-131892.4499058217,
H0=299431.5078942979,
Tlimit=1000,
alow={-277387.0877,5382.38404,-33.751881,0.1322980623,-0.0001490975922,
9.277722e-008,-2.408282948e-011},
blow={-27158.84347,211.4462085},
ahigh={6461018.35,-27753.76432,48.6353236,-0.00486238635,
8.412626100000001e-007,-7.63389037e-011,2.861702826e-015},
bhigh={163085.6187,-300.3105998},
R_s=R_NASA_2002/C4H8_cis2_buten.MM);
constant IdealGases.Common.DataRecord C4H8_isobutene(
name="C4H8_isobutene",
MM=0.05610631999999999,
Hf=-304778.4991066961,
H0=303174.4017429766,
Tlimit=1000,
alow={-232720.5032,3941.99424,-22.24581184,0.1012790864,-0.0001073194065,
6.45469691e-008,-1.646330345e-011},
blow={-22337.66063,147.9597621},
ahigh={6484970.99,-27325.04764,48.3632108,-0.00476800405,8.23387584e-007,-7.449252999999999e-011,
2.782303056e-015},
bhigh={159594.1773,-298.2986237},
R_s=R_NASA_2002/C4H8_isobutene.MM);
constant IdealGases.Common.DataRecord C4H8_cyclo(
name="C4H8_cyclo",
MM=0.05610631999999999,
Hf=506181.8347736941,
H0=241223.5020938818,
Tlimit=1000,
alow={-304765.5983,6519.48273,-46.6298759,0.1743593052,-0.0002090964176,
1.343528679e-007,-3.5427274e-011},
blow={-27000.31171,273.8348195},
ahigh={4456213.810000001,-23010.18492,44.9244846,-0.003080145176,
5.317165260000001e-007,-5.08107938e-011,2.048919092e-015},
bhigh={135548.7603,-277.1801965},
R_s=R_NASA_2002/C4H8_cyclo.MM);
constant IdealGases.Common.DataRecord C4H9_n_butyl(
name="C4H9_n_butyl",
MM=0.05711426,
Hf=1164857.95316266,
H0=346620.9664626662,
Tlimit=1000,
alow={-223956.0407,4676.554099999999,-29.85424449,0.1345493704,-0.000160066035,
1.045338096e-007,-2.812951048e-011},
blow={-15252.97704,190.1651559},
ahigh={7198686.94,-29592.41524,52.4204281,-0.00544157244,
9.917758369999999e-007,-9.464455870000001e-011,3.72948704e-015},
bhigh={183456.6472,-321.420917},
R_s=R_NASA_2002/C4H9_n_butyl.MM);
constant IdealGases.Common.DataRecord C4H9_i_butyl(
name="C4H9_i_butyl",
MM=0.05711426,
Hf=1003602.252747387,
H0=320707.9983177581,
Tlimit=1000,
alow={-239946.1281,4697.44454,-30.8747256,0.1391655831,-0.0001670233968,
1.092423088e-007,-2.936209962e-011},
blow={-16381.51036,193.6662372},
ahigh={6752936.06,-28374.23721,51.4068761,-0.00498239901,8.80150663e-007,-8.12573869e-011,
3.099140009e-015},
bhigh={174344.848,-314.9940745},
R_s=R_NASA_2002/C4H9_i_butyl.MM);
constant IdealGases.Common.DataRecord C4H9_s_butyl(
name="C4H9_s_butyl",
MM=0.05711426,
Hf=1243122.120465187,
H0=307062.5269416079,
Tlimit=1000,
alow={-335106.289,6312.945949999999,-40.0302526,0.1563875047,-0.0001842331788,
1.182727848e-007,-3.131156589e-011},
blow={-22160.45659,248.1295714},
ahigh={7224744.35,-30352.91099,52.8855183,-0.00565208355,1.060032692e-006,-1.066129835e-010,
4.443810960000001e-015},
bhigh={188349.4279,-325.571988},
R_s=R_NASA_2002/C4H9_s_butyl.MM);
constant IdealGases.Common.DataRecord C4H9_t_butyl(
name="C4H9_t_butyl",
MM=0.05711426,
Hf=905203.0088457768,
H0=297818.3556961081,
Tlimit=1000,
alow={-472346.195,8090.198770000001,-46.8367534,0.1575300095,-0.0001686559436,
9.98104013e-008,-2.487608823e-011},
blow={-33193.6741,289.4838706},
ahigh={7151064.95,-31712.2441,54.4251032,-0.006392331160000001,
1.241097612e-006,-1.2872483e-010,5.51261874e-015},
bhigh={193450.6997,-339.9325290000001},
R_s=R_NASA_2002/C4H9_t_butyl.MM);
constant IdealGases.Common.DataRecord C4H10_n_butane(
name="C4H10_n_butane",
MM=0.0581222,
Hf=-2164233.28779709,
H0=330832.0228759407,
Tlimit=1000,
alow={-317587.254,6176.331819999999,-38.9156212,0.1584654284,-0.0001860050159,
1.199676349e-007,-3.20167055e-011},
blow={-45403.63390000001,237.9488665},
ahigh={7682322.45,-32560.5151,57.3673275,-0.00619791681,1.180186048e-006,-1.221893698e-010,
5.250635250000001e-015},
bhigh={177452.656,-358.791876},
R_s=R_NASA_2002/C4H10_n_butane.MM);
constant IdealGases.Common.DataRecord C4H10_isobutane(
name="C4H10_isobutane",
MM=0.0581222,
Hf=-2322520.482707124,
H0=308599.8121199817,
Tlimit=1000,
alow={-383446.933,7000.03964,-44.400269,0.1746183447,-0.0002078195348,
1.339792433e-007,-3.55168163e-011},
blow={-50340.18889999999,265.8966497},
ahigh={7528018.92,-32025.1706,57.00161,-0.00606001309,1.143975809e-006,-1.157061835e-010,
4.84604291e-015},
bhigh={172850.0802,-357.617689},
R_s=R_NASA_2002/C4H10_isobutane.MM);
constant IdealGases.Common.DataRecord C4N2(
name="C4N2",
MM=0.0760562,
Hf=6958012.627504397,
H0=234029.5860166561,
Tlimit=1000,
alow={158780.2866,-2987.184206,23.48081602,-0.02607502448,4.04283003e-005,-2.804912444e-008,
7.39765205e-012},
blow={75052.9947,-101.757825},
ahigh={1167686.152,-6198.644179999999,20.62070093,-0.001518619449,
3.16236168e-007,-3.4699228e-011,1.555154128e-015},
bhigh={96674.09389999999,-96.69734738000001},
R_s=R_NASA_2002/C4N2.MM);
constant IdealGases.Common.DataRecord C5(
name="C5",
MM=0.0600535,
Hf=17499801.5436236,
H0=269623.4357697719,
Tlimit=1000,
alow={-12008.01119,-555.3702910000001,11.23828271,-0.00434788452,
1.73898749e-005,-1.707945418e-008,5.57454191e-012},
blow={126240.4627,-32.6230899},
ahigh={217205.5356,-2958.510027,15.61080967,-0.0008200361920000001,
1.776898025e-007,-2.009853583e-011,9.222677770000001e-016},
bhigh={139520.8064,-64.33077179999999},
R_s=R_NASA_2002/C5.MM);
constant IdealGases.Common.DataRecord C5H6_1_3cyclo(
name="C5H6_1_3cyclo",
MM=0.06610114,
Hf=2031735.004872836,
H0=204769.9782484841,
Tlimit=1000,
alow={-188625.9728,4738.22087,-38.8895801,0.1667438533,-0.0002141149581,
1.438132328e-007,-3.90647811e-011},
blow={-5667.022010000001,227.9898557},
ahigh={4428478.19,-21235.47976,43.0981901,-0.003914783460000001,
7.31184701e-007,-7.32724119e-011,3.044403403e-015},
bhigh={138254.2782,-260.5959678},
R_s=R_NASA_2002/C5H6_1_3cyclo.MM);
constant IdealGases.Common.DataRecord C5H8_cyclo(
name="C5H8_cyclo",
MM=0.06811702,
Hf=497672.9751242788,
H0=218112.5803800577,
Tlimit=1000,
alow={-263111.4588,5987.75349,-45.222446,0.1804626339,-0.0002177216062,
1.402022671e-007,-3.6990943e-011},
blow={-23795.04749,266.0136401},
ahigh={4569848.1,-24060.18294,48.8100646,-0.00341305498,6.04700166e-007,-5.927495780000001e-011,
2.44786539e-015},
bhigh={141398.3093,-298.9533527},
R_s=R_NASA_2002/C5H8_cyclo.MM);
constant IdealGases.Common.DataRecord C5H10_1_pentene(
name="C5H10_1_pentene",
MM=0.07013290000000001,
Hf=-303423.9279995551,
H0=309127.3852927798,
Tlimit=1000,
alow={-534054.813,9298.917380000001,-56.6779245,0.2123100266,-0.000257129829,
1.666834304e-007,-4.43408047e-011},
blow={-47906.8218,339.60364},
ahigh={3744014.97,-21044.85321,47.3612699,-0.00042442012,-3.89897505e-008,
1.367074243e-011,-9.31319423e-016},
bhigh={115409.1373,-278.6177449000001},
R_s=R_NASA_2002/C5H10_1_pentene.MM);
constant IdealGases.Common.DataRecord C5H10_cyclo(
name="C5H10_cyclo",
MM=0.07013290000000001,
Hf=-1099341.393269065,
H0=214212.4024530569,
Tlimit=1000,
alow={-414111.971,8627.5928,-62.0295998,0.2259910921,-0.000268230333,
1.706289935e-007,-4.46405092e-011},
blow={-49315.2214,358.391623},
ahigh={7501938.73,-35058.6485,63.2248075,-0.00694035658,1.337306593e-006,-1.377905033e-010,
5.86735764e-015},
bhigh={195492.5511,-402.65509},
R_s=R_NASA_2002/C5H10_cyclo.MM);
constant IdealGases.Common.DataRecord C5H11_pentyl(
name="C5H11_pentyl",
MM=0.07114084,
Hf=643933.9203754131,
H0=343290.8579656918,
Tlimit=1000,
alow={-465371.592,8564.22042,-52.9524289,0.2094288859,-0.0002561602906,
1.692755961e-007,-4.596788110000001e-011},
blow={-36417.0427,319.686224},
ahigh={5697252.899999999,-28917.06175,58.1102968,-0.00359399501,
4.41996763e-007,-1.509664551e-011,-6.62696443e-016},
bhigh={171700.955,-352.247712},
R_s=R_NASA_2002/C5H11_pentyl.MM);
constant IdealGases.Common.DataRecord C5H11_t_pentyl(
name="C5H11_t_pentyl",
MM=0.07114084,
Hf=458245.9245631623,
H0=276124.417423241,
Tlimit=1000,
alow={-515218.198,9144.32783,-56.0239789,0.1998204194,-0.0002239112591,
1.375455547e-007,-3.52383305e-011},
blow={-40362.6661,340.2811},
ahigh={8602108.26,-38052.05770000001,66.4969037,-0.007533860630000001,
1.451612787e-006,-1.495593207e-010,6.368022329999999e-015},
bhigh={228185.8805,-416.940855},
R_s=R_NASA_2002/C5H11_t_pentyl.MM);
constant IdealGases.Common.DataRecord C5H12_n_pentane(
name="C5H12_n_pentane",
MM=0.07214878,
Hf=-2034130.029641527,
H0=335196.2430965569,
Tlimit=1000,
alow={-276889.4625,5834.28347,-36.1754148,0.1533339707,-0.0001528395882,
8.191092e-008,-1.792327902e-011},
blow={-46653.7525,226.5544053},
ahigh={-2530779.286,-8972.59326,45.3622326,-0.002626989916,3.135136419e-006,
-5.31872894e-010,2.886896868e-014},
bhigh={14846.16529,-251.6550384},
R_s=R_NASA_2002/C5H12_n_pentane.MM);
constant IdealGases.Common.DataRecord C5H12_i_pentane(
name="C5H12_i_pentane",
MM=0.07214878,
Hf=-2130320.152329672,
H0=305036.3429568733,
Tlimit=1000,
alow={-423190.339,6497.1891,-36.8112697,0.1532424729,-0.0001548790714,
8.74989712e-008,-2.07054771e-011},
blow={-51554.1659,230.9518218},
ahigh={11568885.94,-45562.4687,74.9544363,-0.007845415580000001,
1.444393314e-006,-1.464370213e-010,6.230285000000001e-015},
bhigh={254492.7135,-480.198578},
R_s=R_NASA_2002/C5H12_i_pentane.MM);
constant IdealGases.Common.DataRecord CH3C_CH3_2CH3(
name="CH3C_CH3_2CH3",
MM=0.07214878,
Hf=-2327412.882102788,
H0=321266.6936294696,
Tlimit=1000,
alow={-8973222.270000001,128922.5617,-719.934483,2.056862183,-0.002953159699,
2.158893146e-006,-6.26831877e-010},
blow={-639493.2019999999,4020.80636},
ahigh={16847055.2,-59794.3057,86.85451479999999,-0.0096219176,
1.653363091e-006,-1.674727926e-010,7.37211936e-015},
bhigh={345849.682,-576.046697},
R_s=R_NASA_2002/CH3C_CH3_2CH3.MM);
constant IdealGases.Common.DataRecord C6D5_phenyl(
name="C6D5_phenyl",
MM=0.08213471,
Hf=3844172.579412528,
H0=193816.6823746014,
Tlimit=1000,
alow={201283.7008,-1979.349332,2.6282675,0.0595186526,-6.08128045e-005,
3.38139165e-008,-8.125429080000001e-012},
blow={46972.47489999999,0.335470098},
ahigh={1411628.125,-13625.69472,40.2898494,-0.00349098927,7.37961213e-007,-8.19224405e-011,
3.70533097e-015},
bhigh={108807.3731,-229.3621057},
R_s=R_NASA_2002/C6D5_phenyl.MM);
constant IdealGases.Common.DataRecord C6D6(
name="C6D6",
MM=0.084148812,
Hf=691125.3601536288,
H0=193997.8190066427,
Tlimit=1000,
alow={276291.1236,-2865.868902,5.39507043,0.05939315170000001,-6.02363118e-005,
3.38139857e-008,-8.306046370000001e-012},
blow={20470.83778,-20.11790696},
ahigh={1758057.871,-15721.21558,44.6816249,-0.004003361919999999,
8.4454344e-007,-9.36055698e-011,4.22847553e-015},
bhigh={89620.45359999999,-261.5332268},
R_s=R_NASA_2002/C6D6.MM);
constant IdealGases.Common.DataRecord C6H2(
name="C6H2",
MM=0.07408007999999999,
Hf=9044266.690856706,
H0=264682.6785284249,
Tlimit=1000,
alow={290372.2964,-4929.7515,31.8932321,-0.03119447315,4.32576368e-005,-2.732517022e-008,
6.67444611e-012},
blow={101189.8682,-153.0593012},
ahigh={2592848.577,-10833.61978,28.47459495,-0.001876727704,3.41213428e-007,
-3.33739289e-011,1.356853889e-015},
bhigh={141851.7294,-149.4853494},
R_s=R_NASA_2002/C6H2.MM);
constant IdealGases.Common.DataRecord C6H5_phenyl(
name="C6H5_phenyl",
MM=0.07710389999999999,
Hf=4373319.637528064,
H0=183578.6905720723,
Tlimit=1000,
alow={-121127.8245,3529.04558,-31.16903422,0.146755063,-0.0001831398296,
1.192576957e-007,-3.14926586e-011},
blow={24209.72928,186.8799946},
ahigh={3670279.23,-18946.01209,41.8058182,-0.00350391415,6.56182174e-007,-6.594714449999999e-011,
2.748094212e-015},
bhigh={147674.4628,-247.5301142},
R_s=R_NASA_2002/C6H5_phenyl.MM);
constant IdealGases.Common.DataRecord C6H5O_phenoxy(
name="C6H5O_phenoxy",
MM=0.0931033,
Hf=512334.1492729044,
H0=174087.2128055611,
Tlimit=1000,
alow={-129226.4217,3406.74068,-29.11367361,0.1459180378,-0.0001780202758,
1.138615885e-007,-2.967142152e-011},
blow={-10550.26758,177.0682011},
ahigh={3678640.34,-19729.80806,45.4118441,-0.00375106439,7.11445078e-007,-7.233328850000001e-011,
3.045637067e-015},
bhigh={116359.5961,-268.1058539},
R_s=R_NASA_2002/C6H5O_phenoxy.MM);
constant IdealGases.Common.DataRecord C6H6(
name="C6H6",
MM=0.07811184,
Hf=1061042.730525872,
H0=181735.4577743912,
Tlimit=1000,
alow={-167734.0902,4404.50004,-37.1737791,0.1640509559,-0.0002020812374,
1.307915264e-007,-3.4442841e-011},
blow={-10354.55401,216.9853345},
ahigh={4538575.72,-22605.02547,46.940073,-0.004206676830000001,
7.90799433e-007,-7.9683021e-011,3.32821208e-015},
bhigh={139146.4686,-286.8751333},
R_s=R_NASA_2002/C6H6.MM);
constant IdealGases.Common.DataRecord C6H5OH_phenol(
name="C6H5OH_phenol",
MM=0.09411124,
Hf=-1024309.104842312,
H0=185915.0936700016,
Tlimit=1000,
alow={-120941.8144,3378.29227,-29.91846148,0.1567802942,-0.0001970937198,
1.291815064e-007,-3.42435126e-011},
blow={-27793.87017,179.9708977},
ahigh={4462081.569999999,-21655.21026,48.1501505,-0.00356828243,
6.32717573e-007,-6.039905720000001e-011,2.399168678e-015},
bhigh={111372.6204,-286.0454446},
R_s=R_NASA_2002/C6H5OH_phenol.MM);
constant IdealGases.Common.DataRecord C6H10_cyclo(
name="C6H10_cyclo",
MM=0.08214360000000001,
Hf=-55999.49356979728,
H0=210251.1212072517,
Tlimit=1000,
alow={-375028.221,7643.87675,-55.1043476,0.2166231405,-0.0002545452198,
1.607607304e-007,-4.18524841e-011},
blow={-36610.7301,320.240946},
ahigh={7510128.98,-35568.5821,67.03034940000001,-0.00704535187,
1.3581664e-006,-1.400074492e-010,5.964551700000001e-015},
bhigh={206027.4332,-423.819766},
R_s=R_NASA_2002/C6H10_cyclo.MM);
constant IdealGases.Common.DataRecord C6H12_1_hexene(
name="C6H12_1_hexene",
MM=0.08415948000000001,
Hf=-498458.4030224521,
H0=311788.9986962847,
Tlimit=1000,
alow={-666883.165,11768.64939,-72.70998330000001,0.2709398396,-0.00033332464,
2.182347097e-007,-5.85946882e-011},
blow={-62157.8054,428.682564},
ahigh={733290.696,-14488.48641,46.7121549,0.00317297847,-5.24264652e-007,
4.28035582e-011,-1.472353254e-015},
bhigh={66977.4041,-262.3643854},
R_s=R_NASA_2002/C6H12_1_hexene.MM);
constant IdealGases.Common.DataRecord C6H12_cyclo(
name="C6H12_cyclo",
MM=0.08415948000000001,
Hf=-1465075.5921971,
H0=208471.0361803566,
Tlimit=1000,
alow={-567998.704,10342.38704,-68.0004125,0.2387797658,-0.0002511890049,
1.425293184e-007,-3.40783319e-011},
blow={-64046.3516,393.480821},
ahigh={5225149.47,-33641.9458,71.74607469999999,-0.006698979119999999,
1.318443254e-006,-1.390794789e-010,6.06010224e-015},
bhigh={173253.7609,-454.681417},
R_s=R_NASA_2002/C6H12_cyclo.MM);
constant IdealGases.Common.DataRecord C6H13_n_hexyl(
name="C6H13_n_hexyl",
MM=0.08516742000000001,
Hf=294713.635801108,
H0=340306.1875069128,
Tlimit=1000,
alow={-1427278.22,22488.28093,-129.749224,0.427979733,-0.000555601318,
3.79125694e-007,-1.048462404e-010},
blow={-106026.1015,749.718676},
ahigh={5967938.62,-32990.2316,68.6907344,-0.00422500906,
5.496523820000001e-007,-2.292851471e-011,-5.08634189e-016},
bhigh={190697.8683,-418.5362},
R_s=R_NASA_2002/C6H13_n_hexyl.MM);
constant IdealGases.Common.DataRecord C6H14_n_hexane(
name="C6H14_n_hexane",
MM=0.08617535999999999,
Hf=-1936980.593988816,
H0=333065.0431863586,
Tlimit=1000,
alow={-581592.67,10790.97724,-66.3394703,0.2523715155,-0.0002904344705,
1.802201514e-007,-4.617223680000001e-011},
blow={-72715.4457,393.828354},
ahigh={-3106625.684,-7346.087920000001,46.94131760000001,0.001693963977,
2.068996667e-006,-4.21214168e-010,2.452345845e-014},
bhigh={523.750312,-254.9967718},
R_s=R_NASA_2002/C6H14_n_hexane.MM);
constant IdealGases.Common.DataRecord C7H7_benzyl(
name="C7H7_benzyl",
MM=0.09113048,
Hf=2309874.808077385,
H0=203607.9695838319,
Tlimit=1000,
alow={-183676.4826,4102.46566,-32.024061,0.1588249575,-0.0001894466924,
1.203649671e-007,-3.136589637e-011},
blow={5266.33323,193.875172},
ahigh={5297322.16,-25999.09398,55.0975079,-0.00497766147,9.46315243e-007,-9.639008860000001e-011,
4.06447042e-015},
bhigh={173838.2912,-334.382955},
R_s=R_NASA_2002/C7H7_benzyl.MM);
constant IdealGases.Common.DataRecord C7H8(
name="C7H8",
MM=0.09213842,
Hf=544506.8409030674,
H0=194710.794910527,
Tlimit=1000,
alow={-287796.222,6133.941519999999,-45.74706759999999,0.1936895724,-0.0002304305304,
1.459301178e-007,-3.7907961e-011},
blow={-23084.02499,269.3915042},
ahigh={6184538.350000001,-29902.84056,59.8200597,-0.00569698396,
1.080748416e-006,-1.098702235e-010,4.62474022e-015},
bhigh={178204.7857,-369.808225},
R_s=R_NASA_2002/C7H8.MM);
constant IdealGases.Common.DataRecord C7H8O_cresol_mx(
name="C7H8O_cresol_mx",
MM=0.10813782,
Hf=-1223420.261292488,
H0=201949.1792973078,
Tlimit=1000,
alow={-244141.7503,5080.87784,-37.8904804,0.186494507,-0.0002269511868,
1.458989279e-007,-3.82240335e-011},
blow={-40936.57829999999,228.1352234},
ahigh={6017373.45,-28498.82774,60.81543070000001,-0.004996807109999999,
9.13427995e-007,-8.979444109999999e-011,3.66775697e-015},
bhigh={147221.84,-367.485014},
R_s=R_NASA_2002/C7H8O_cresol_mx.MM);
constant IdealGases.Common.DataRecord C7H14_1_heptene(
name="C7H14_1_heptene",
MM=0.09818605999999999,
Hf=-639194.6066478277,
H0=313588.3036756949,
Tlimit=1000,
alow={-744940.284,13321.79893,-82.81694379999999,0.3108065994,-0.000378677992,
2.446841042e-007,-6.488763869999999e-011},
blow={-72178.8501,485.667149},
ahigh={-1927608.174,-9125.024420000002,47.4817797,0.00606766053,-8.684859080000001e-007,
5.81399526e-011,-1.473979569e-015},
bhigh={26009.14656,-256.2880707},
R_s=R_NASA_2002/C7H14_1_heptene.MM);
constant IdealGases.Common.DataRecord C7H15_n_heptyl(
name="C7H15_n_heptyl",
MM=0.099194,
Hf=44256.70907514567,
H0=338155.5336008226,
Tlimit=1000,
alow={-1671733.521,26400.1025,-152.6867707,0.5027121410000001,-0.000652101403,
4.44348811e-007,-1.227815006e-010},
blow={-127375.4623,878.3933319999999},
ahigh={5444527.57,-34568.2929,76.38651949999999,-0.003298972,
2.343496957e-007,2.467674021e-011,-3.162012849e-015},
bhigh={193907.9354,-464.142466},
R_s=R_NASA_2002/C7H15_n_heptyl.MM);
constant IdealGases.Common.DataRecord C7H16_n_heptane(
name="C7H16_n_heptane",
MM=0.10020194,
Hf=-1874015.612871368,
H0=331540.487140269,
Tlimit=1000,
alow={-612743.289,11840.85437,-74.87188599999999,0.2918466052,-0.000341679549,
2.159285269e-007,-5.65585273e-011},
blow={-80134.0894,440.721332},
ahigh={9135632.469999999,-39233.1969,78.8978085,-0.00465425193,
2.071774142e-006,-3.4425393e-010,1.976834775e-014},
bhigh={205070.8295,-485.110402},
R_s=R_NASA_2002/C7H16_n_heptane.MM);
constant IdealGases.Common.DataRecord C7H16_2_methylh(
name="C7H16_2_methylh",
MM=0.10020194,
Hf=-1942078.167348856,
H0=308576.8598891399,
Tlimit=1000,
alow={-710477.777,11912.5112,-73.45339440000001,0.2902952369,-0.000346276768,
2.260184498e-007,-6.12881392e-011},
blow={-82021.477,432.004229},
ahigh={1289912.969,-1784.340963,10.83537673,0.05270609239999999,-1.886832314e-005,
2.432255843e-009,-1.135553789e-013},
bhigh={-16375.29884,-29.8186241},
R_s=R_NASA_2002/C7H16_2_methylh.MM);
constant IdealGases.Common.DataRecord C8H8_styrene(
name="C8H8_styrene",
MM=0.10414912,
Hf=1423919.85645198,
H0=201057.8677957144,
Tlimit=1000,
alow={-268693.052,6167.99947,-48.3605494,0.2182873229,-0.0002738561832,
1.810084981e-007,-4.86775027e-011},
blow={-11406.39978,281.7679014},
ahigh={-6629183.62,15145.94166,1.609822364,0.033833186,-1.093737395e-005,
1.338825116e-009,-6.03253492e-014},
bhigh={-89973.2415,43.1128279},
R_s=R_NASA_2002/C8H8_styrene.MM);
constant IdealGases.Common.DataRecord C8H10_ethylbenz(
name="C8H10_ethylbenz",
MM=0.106165,
Hf=281825.4603682946,
H0=209862.0072528611,
Tlimit=1000,
alow={-469494,9307.16836,-65.2176947,0.2612080237,-0.000318175348,
2.051355473e-007,-5.40181735e-011},
blow={-40738.7021,378.090436},
ahigh={5551564.100000001,-28313.80598,60.6124072,0.001042112857,-1.327426719e-006,
2.166031743e-010,-1.142545514e-014},
bhigh={164224.1062,-369.176982},
R_s=R_NASA_2002/C8H10_ethylbenz.MM);
constant IdealGases.Common.DataRecord C8H16_1_octene(
name="C8H16_1_octene",
MM=0.11221264,
Hf=-744924.9924072726,
H0=315026.8989304592,
Tlimit=1000,
alow={-928190.522,16409.74476,-101.5939534,0.374800141,-0.00045908294,
2.96533534e-007,-7.84044521e-011},
blow={-89524.2608,590.759427},
ahigh={-4409336.07,-4383.678800000001,49.39154259999999,
0.007912339629999999,-7.88866951e-007,9.97021235e-012,1.913144872e-015},
bhigh={-11226.19342,-257.7650649},
R_s=R_NASA_2002/C8H16_1_octene.MM);
constant IdealGases.Common.DataRecord C8H17_n_octyl(
name="C8H17_n_octyl",
MM=0.11322058,
Hf=-144143.4057306543,
H0=336537.7566516617,
Tlimit=1000,
alow={-1934340.995,30549.7983,-176.7903454,0.5801596649999999,-0.000751741401,
5.11246903e-007,-1.410193662e-010},
blow={-149889.4706,1013.724329},
ahigh={5632173.390000001,-38211.4367,86.37927500000001,-0.00360893158,
2.544260445e-007,2.908638837e-011,-3.67954974e-015},
bhigh={210313.547,-526.242283},
R_s=R_NASA_2002/C8H17_n_octyl.MM);
constant IdealGases.Common.DataRecord C8H18_n_octane(
name="C8H18_n_octane",
MM=0.11422852,
Hf=-1827477.060895125,
H0=330740.51909278,
Tlimit=1000,
alow={-698664.715,13385.01096,-84.1516592,0.327193666,-0.000377720959,
2.339836988e-007,-6.01089265e-011},
blow={-90262.2325,493.922214},
ahigh={6365406.949999999,-31053.64657,69.6916234,0.01048059637,-4.12962195e-006,
5.543226319999999e-010,-2.651436499e-014},
bhigh={150096.8785,-416.989565},
R_s=R_NASA_2002/C8H18_n_octane.MM);
constant IdealGases.Common.DataRecord C8H18_isooctane(
name="C8H18_isooctane",
MM=0.11422852,
Hf=-1961068.916939482,
H0=281628.440953275,
Tlimit=1000,
alow={-168875.8565,3126.903227,-21.23502828,0.1489151508,-0.0001151180135,
4.47321617e-008,-5.55488207e-012},
blow={-44680.6062,141.7455793},
ahigh={13527650.32,-46633.7034,77.95313179999999,0.01423729984,-5.073593909999999e-006,
7.24823297e-010,-3.81919011e-014},
bhigh={254117.8017,-493.388719},
R_s=R_NASA_2002/C8H18_isooctane.MM);
constant IdealGases.Common.DataRecord C9H19_n_nonyl(
name="C9H19_n_nonyl",
MM=0.12724716,
Hf=-291008.4594422383,
H0=335284.496722756,
Tlimit=1000,
alow={-2194880.612,34685.6578,-200.9261419,0.658050311,-0.000852593001,
5.79463896e-007,-1.597637099e-010},
blow={-172319.4608,1149.114017},
ahigh={5277361.74,-40257.0196,94.57296720000001,-0.002940301447,
6.97810699e-009,6.80525024e-011,-5.90709533e-015},
bhigh={216532.0614,-575.44495},
R_s=R_NASA_2002/C9H19_n_nonyl.MM);
constant IdealGases.Common.DataRecord C10H8_naphthale(
name="C10H8_naphthale",
MM=0.12817052,
Hf=1174841.141317052,
H0=161605.6172667475,
Tlimit=1000,
alow={-260284.5316,6237.40957,-52.2609504,0.2397692776,-0.0002912244803,
1.854944401e-007,-4.81661927e-011},
blow={-11147.0088,297.2139517},
ahigh={5906172.11,-31632.2924,70.3034203,-0.00601886554,1.142052144e-006,-1.161605689e-010,
4.89284402e-015},
bhigh={196256.7046,-434.7848950000001},
R_s=R_NASA_2002/C10H8_naphthale.MM);
constant IdealGases.Common.DataRecord C10H21_n_decyl(
name="C10H21_n_decyl",
MM=0.14127374,
Hf=-408710.0688351565,
H0=334273.0220067792,
Tlimit=1000,
alow={-2446511.152,38700.813,-224.4388176,0.734362497,-0.00095135256,
6.46297033e-007,-1.781502862e-010},
blow={-194163.3889,1280.987834},
ahigh={4967237.76,-42424.6844,102.8853417,-0.00232484818,-2.2842339e-007,
1.056127364e-010,-8.0680659e-015},
bhigh={223542.989,-625.5191159999999},
R_s=R_NASA_2002/C10H21_n_decyl.MM);
constant IdealGases.Common.DataRecord C12H9_o_bipheny(
name="C12H9_o_bipheny",
MM=0.15319986,
Hf=2791973.830785485,
H0=173559.8648719392,
Tlimit=1000,
alow={-359584.082,7661.37856,-58.7329046,0.2697557882,-0.000322975668,
2.0329071e-007,-5.23131672e-011},
blow={14584.14642,339.268711},
ahigh={6736469.42,-36321.9435,82.102396,-0.00750234286,1.456251733e-006,-1.507145019e-010,
6.43647043e-015},
bhigh={255552.4521,-504.246297},
R_s=R_NASA_2002/C12H9_o_bipheny.MM);
constant IdealGases.Common.DataRecord C12H10_biphenyl(
name="C12H10_biphenyl",
MM=0.1542078,
Hf=1181068.66189648,
H0=173684.6190659617,
Tlimit=1000,
alow={-367103.405,8128.41259,-63.9099457,0.2901422744,-0.000350959074,
2.230989996e-007,-5.78847029e-011},
blow={-16792.63066,363.346419},
ahigh={7480385.359999999,-39280.8723,86.61482219999999,-0.007946398570000001,
1.531868544e-006,-1.576450171e-010,6.70060273e-015},
bhigh={243805.0641,-538.138149},
R_s=R_NASA_2002/C12H10_biphenyl.MM);
constant IdealGases.Common.DataRecord Ca(
name="Ca",
MM=0.040078,
Hf=4436349.119217526,
H0=154634.1633814063,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={20638.92786,4.38454833},
ahigh={7547341.239999999,-21486.42662,25.30849567,-0.01103773705,
2.293249636e-006,-1.209075383e-010,-4.015333268e-015},
bhigh={158586.2323,-160.9512955},
R_s=R_NASA_2002/Ca.MM);
constant IdealGases.Common.DataRecord Caplus(
name="Caplus",
MM=0.0400774514,
Hf=19308306.81513845,
H0=154636.2800904052,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={92324.1779,5.07767498},
ahigh={3747070.82,-11747.07738,16.72546969,-0.00833479771,2.394593294e-006,
-2.988243468e-010,1.356563002e-014},
bhigh={166432.9088,-95.8282126},
R_s=R_NASA_2002/Caplus.MM);
constant IdealGases.Common.DataRecord CaBr(
name="CaBr",
MM=0.119982,
Hf=-207270.0988481606,
H0=82146.64699704957,
Tlimit=1000,
alow={569.3832620000001,-125.7513537,5.00150833,-0.001039868753,
1.377594927e-006,-8.94901396e-010,2.395658928e-013},
blow={-3728.10398,1.784864847},
ahigh={2783236.402,-8458.203729999999,14.3175656,-0.00543078168,
1.522218659e-006,-1.831824807e-010,7.86428866e-015},
bhigh={49312.7068,-65.37001100000001},
R_s=R_NASA_2002/CaBr.MM);
constant IdealGases.Common.DataRecord CaBr2(
name="CaBr2",
MM=0.199886,
Hf=-1937090.641665749,
H0=78060.49448185465,
Tlimit=1000,
alow={1572.504318,-223.8551236,8.38845789,-0.001944164774,2.397926088e-006,
-1.55657235e-009,4.12430958e-013},
blow={-47721.0661,-10.74965233},
ahigh={-22198.46426,-4.46315533,7.50375511,-1.641654626e-006,
3.87942806e-010,-4.68342426e-014,2.259325541e-018},
bhigh={-48854.3682,-5.59032425},
R_s=R_NASA_2002/CaBr2.MM);
constant IdealGases.Common.DataRecord CaCL(
name="CaCL",
MM=0.075531,
Hf=-1373911.175543816,
H0=127035.4556407303,
Tlimit=1000,
alow={6395.335260000001,-224.9042269,5.28327839,-0.001447983237,
1.643742771e-006,-9.43010428e-010,2.237516133e-013},
blow={-12701.69,-1.391964289},
ahigh={1629182.545,-4766.22302,9.65892977,-0.002523044131,5.83354216e-007,-4.10172699e-011,
8.813177639999999e-017},
bhigh={16625.99241,-33.98731174},
R_s=R_NASA_2002/CaCL.MM);
constant IdealGases.Common.DataRecord CaCLplus(
name="CaCLplus",
MM=0.0755304514,
Hf=6185459.034606007,
H0=123938.2636603705,
Tlimit=1000,
alow={2285.284542,-200.2872721,4.93699019,-0.000386097303,
8.686661880000001e-008,1.47020568e-010,-7.68931587e-014},
blow={55882.7795,-0.6359815341},
ahigh={177028.0396,-589.137239,5.1033688,-0.0002356761168,5.48373287e-008,
2.137973112e-014,-5.57288731e-016},
bhigh={58534.17249999999,-2.191253644},
R_s=R_NASA_2002/CaCLplus.MM);
constant IdealGases.Common.DataRecord CaCL2(
name="CaCL2",
MM=0.110984,
Hf=-4372193.081885677,
H0=133866.3501045195,
Tlimit=1000,
alow={11068.0203,-424.910825,9.13471186,-0.00349718531,
4.242184629999999e-006,-2.719673231e-009,7.13826863e-013},
blow={-58503.4676,-18.08678294},
ahigh={-35957.6878,-8.796495630000001,7.50725691,-3.129465934e-006,
7.322886480000001e-010,-8.776403220000001e-014,4.21048604e-018},
bhigh={-60667.7966,-8.553523451},
R_s=R_NASA_2002/CaCL2.MM);
constant IdealGases.Common.DataRecord CaF(
name="CaF",
MM=0.0590764032,
Hf=-4678751.159989374,
H0=154581.3472950229,
Tlimit=1000,
alow={31842.354,-491.8235089999999,5.70112089,-0.001465138218,
9.09293081e-007,-1.367585222e-010,-5.10632338e-014},
blow={-31976.9411,-5.99666226},
ahigh={519588.2669999999,-1512.321567,5.86927625,-0.000388252448,-2.484582298e-008,
3.74991596e-011,-3.47097645e-015},
bhigh={-24888.14584,-8.6146637},
R_s=R_NASA_2002/CaF.MM);
constant IdealGases.Common.DataRecord CaFplus(
name="CaFplus",
MM=0.0590758546,
Hf=4412371.344688089,
H0=152399.1156955688,
Tlimit=1000,
alow={41583.408,-562.766166,5.68752215,-0.001264710572,6.66908648e-007,-6.92675282e-011,
-3.97871462e-014},
blow={33051.195,-6.97448501},
ahigh={-139867.0845,219.1526375,4.21432434,0.0002142798048,-5.7786726e-008,
9.98575631e-012,-6.05962188e-016},
bhigh={28416.05897,2.740342729},
R_s=R_NASA_2002/CaFplus.MM);
constant IdealGases.Common.DataRecord CaF2(
name="CaF2",
MM=0.0780748064,
Hf=-10129111.36722332,
H0=164093.7914640798,
Tlimit=1000,
alow={59093.5229,-1019.733042,10.13165309,-0.00550350644,5.62931998e-006,-3.115401465e-009,
7.205525940000001e-013},
blow={-91926.08189999999,-26.3950595},
ahigh={-82804.0944,-31.15950071,7.02357737,-9.521000020000001e-006,
2.118160895e-009,-2.440713888e-013,1.135135468e-017},
bhigh={-97294.66770000001,-7.54624334},
R_s=R_NASA_2002/CaF2.MM);
constant IdealGases.Common.DataRecord CaH(
name="CaH",
MM=0.04108594,
Hf=5583640.169848858,
H0=211875.5223806489,
Tlimit=1000,
alow={-45137.8223,762.942921,-1.280874223,0.01318774659,-1.481595334e-005,
8.53657322e-009,-1.989958945e-012},
blow={23003.78814,30.53421525},
ahigh={-2696952.529,8607.05975,-7.02745482,0.007467916309999999,-2.318610699e-006,
3.42307242e-010,-1.892679792e-014},
bhigh={-27738.19107,78.45822010000001},
R_s=R_NASA_2002/CaH.MM);
constant IdealGases.Common.DataRecord CaI(
name="CaI",
MM=0.16698247,
Hf=72961.67076699728,
H0=59995.04019793216,
Tlimit=1000,
alow={-826.179018,-85.08975899999999,4.86417169,-0.000786316965,
1.100493506e-006,-7.34803061e-010,2.010892767e-013},
blow={523.675344,3.58539168},
ahigh={1771071.309,-5683.64373,11.53857476,-0.0041940202,1.291359961e-006,-1.730043579e-010,
8.38076235e-015},
bhigh={35832.932,-44.0591757},
R_s=R_NASA_2002/CaI.MM);
constant IdealGases.Common.DataRecord CaI2(
name="CaI2",
MM=0.29388694,
Hf=-882378.4581921197,
H0=54616.22418471539,
Tlimit=1000,
alow={-1097.851401,-145.9821761,8.08934184,-0.001305332923,1.624199331e-006,
-1.061194001e-009,2.825551217e-013},
blow={-32726.9298,-6.98171494},
ahigh={-16237.27104,-2.859530722,7.50243219,-1.071178707e-006,
2.544559095e-010,-3.083631004e-014,1.491836724e-018},
bhigh={-33463.4117,-3.56730574},
R_s=R_NASA_2002/CaI2.MM);
constant IdealGases.Common.DataRecord CaO(
name="CaO",
MM=0.0560774,
Hf=677729.4953047038,
H0=159656.2608109506,
Tlimit=1000,
alow={38897.3307,-483.567735,5.07771325,0.000307623525,-1.159759897e-006,
8.493433339999999e-010,-1.495333366e-013},
blow={5937.643480000001,-3.95532073},
ahigh={-49131061.7,149586.595,-168.1654149,0.09381950259999999,-2.455529428e-005,
3.07498072e-009,-1.485914237e-013},
bhigh={-946151.172,1235.694769},
R_s=R_NASA_2002/CaO.MM);
constant IdealGases.Common.DataRecord CaOplus(
name="CaOplus",
MM=0.0560768514,
Hf=12665431.88977975,
H0=163402.7191476731,
Tlimit=1000,
alow={109806.0332,-1459.992448,9.88077794,-0.009157564600000001,
8.707582560000001e-006,-4.39041108e-009,9.264854659999999e-013},
blow={91500.57350000001,-30.09947701},
ahigh={939784.313,-2993.362243,8.33619182,-0.002303295087,7.37396753e-007,-1.052888279e-010,
5.25713841e-015},
bhigh={102809.8401,-24.61547836},
R_s=R_NASA_2002/CaOplus.MM);
constant IdealGases.Common.DataRecord CaOH(
name="CaOH",
MM=0.05708534000000001,
Hf=-3035934.444815429,
H0=193564.5298775482,
Tlimit=1000,
alow={46200.289,-928.567282,9.175828770000001,-0.0039628288,
2.505447308e-006,3.85206821e-011,-3.35277847e-013},
blow={-17980.09717,-25.3370485},
ahigh={1979972.994,-5598.88099,11.51348706,-0.001668264707,3.31257391e-007,
-1.789056647e-011,-3.58071641e-016},
bhigh={13401.96822,-46.46084260000001},
R_s=R_NASA_2002/CaOH.MM);
constant IdealGases.Common.DataRecord CaOHplus(
name="CaOHplus",
MM=0.0570847914,
Hf=6533055.317427332,
H0=194407.6299103372,
Tlimit=1000,
alow={48843.4266,-983.2415100000001,9.61018295,-0.00520436066,
4.26304982e-006,-1.197590878e-009,9.028411889999999e-015},
blow={47950.56340000001,-28.27077334},
ahigh={863761.537,-2347.302046,7.9819112,0.0001003160947,-6.24007417e-008,
1.019540904e-011,-5.69892528e-016},
bhigh={58305.80119999999,-21.52181937},
R_s=R_NASA_2002/CaOHplus.MM);
constant IdealGases.Common.DataRecord Ca_OH_2(
name="Ca_OH_2",
MM=0.07409268000000001,
Hf=-8075546.315776401,
H0=223939.5443652463,
Tlimit=1000,
alow={83892.57539999999,-1791.902135,16.21891031,-0.00784085717,
5.09511161e-006,-6.95548755e-011,-6.13215264e-013},
blow={-66004.0563,-60.7091392},
ahigh={1721854.884,-4702.21767,13.96947691,0.0001983791405,-1.243050592e-007,
2.033402404e-011,-1.137157819e-015},
bhigh={-44437.6135,-52.8744486},
R_s=R_NASA_2002/Ca_OH_2.MM);
constant IdealGases.Common.DataRecord CaS(
name="CaS",
MM=0.072143,
Hf=1683812.885519038,
H0=129743.8836754779,
Tlimit=1000,
alow={23209.90615,-451.8446080000001,6.17233375,-0.00359885202,
4.823731709999999e-006,-3.63173354e-009,1.212849867e-012},
blow={15545.97691,-7.686936462},
ahigh={-15683532.14,52938.5581,-63.2246724,0.0402772638,-1.114855081e-005,
1.464389344e-009,-7.37607897e-014},
bhigh={-317202.267,479.9606012},
R_s=R_NASA_2002/CaS.MM);
constant IdealGases.Common.DataRecord Ca2(
name="Ca2",
MM=0.08015600000000001,
Hf=4263752.382853436,
H0=140639.9520934178,
Tlimit=1000,
alow={-85822.2862,158.818896,11.03952055,-0.0333319676,5.34593881e-005,-4.011573239999999e-008,
1.160486682e-011},
blow={37703.508,-23.97744561},
ahigh={240596.6267,57.7580382,2.347436675,0.0001199275034,-4.32915031e-008,
7.01530269e-012,-3.70566032e-016},
bhigh={40818.754,18.95399607},
R_s=R_NASA_2002/Ca2.MM);
constant IdealGases.Common.DataRecord Cd(
name="Cd",
MM=0.112411,
Hf=994564.5888747543,
H0=55131.86431932818,
Tlimit=1000,
alow={-0.0001081751543,1.816433041e-006,2.499999989,3.129989231e-011,-4.60071016e-014,
3.40704874e-017,-9.989497436e-021},
blow={12700.99766,5.93154976},
ahigh={-269975.7467,786.600114,1.628169079,0.000459412329,-1.150420443e-007,
1.074836707e-011,8.790199554999999e-017},
bhigh={7675.14826,12.20006052},
R_s=R_NASA_2002/Cd.MM);
constant IdealGases.Common.DataRecord Cdplus(
name="Cdplus",
MM=0.1124104514,
Hf=8769240.899961371,
H0=55132.13338097137,
Tlimit=1000,
alow={0.000409834494,-4.34358162e-006,2.500000019,-4.389036810000001e-011,
5.5639692e-014,-3.63822826e-017,9.607881994999999e-021},
blow={117812.9439,6.62468945},
ahigh={14848.80812,-46.6915368,2.557883006,-3.6247017e-005,1.21374757e-008,
-2.072802814e-012,1.420665367e-016},
bhigh={118107.0109,6.21641448},
R_s=R_NASA_2002/Cdplus.MM);
constant IdealGases.Common.DataRecord CL(
name="CL",
MM=0.03545300000000001,
Hf=3421459.396948072,
H0=176898.6545567371,
Tlimit=1000,
alow={22762.15854,-216.8413293,2.745185115,0.002451101694,-5.45801199e-006,
4.41798688e-009,-1.288134004e-012},
blow={15013.57068,3.102963457},
ahigh={-169793.293,608.172646,2.12866409,0.0001307367034,-2.644883596e-008,
2.842504775e-012,-1.252911731e-016},
bhigh={9934.3874,8.844772103},
R_s=R_NASA_2002/CL.MM);
constant IdealGases.Common.DataRecord CLplus(
name="CLplus",
MM=0.0354524514,
Hf=38891517.52705033,
H0=180138.0369426302,
Tlimit=1000,
alow={103469.7859,-1293.758873,8.186702690000001,-0.0099160146,
9.20847237e-006,-4.50742624e-009,9.18212788e-013},
blow={171475.878,-27.66417931},
ahigh={40564.0948,-49.6016572,3.10165363,-0.000586873829,2.252039316e-007,-3.29970302e-011,
1.708780842e-015},
bhigh={165298.2337,2.574942598},
R_s=R_NASA_2002/CLplus.MM);
constant IdealGases.Common.DataRecord CLminus(
name="CLminus",
MM=0.0354535486,
Hf=-6599000.135066875,
H0=174804.1661477012,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={-28883.89093,4.200642023},
ahigh={0,0,2.5,0,0,0,0},
bhigh={-28883.89093,4.200642023},
R_s=R_NASA_2002/CLminus.MM);
constant IdealGases.Common.DataRecord CLCN(
name="CLCN",
MM=0.06147039999999999,
Hf=2183164.580025509,
H0=173563.8941669487,
Tlimit=1000,
alow={72740.43429999999,-1297.344947,11.07676527,-0.01108430216,
1.614009477e-005,-1.088916772e-008,2.830952246e-012},
blow={20843.88986,-35.97370046},
ahigh={346757.312,-1957.85737,8.807806149999999,-0.0004388362779999999,
1.024761895e-007,-1.110675026e-011,4.98617942e-016},
bhigh={25819.23944,-26.36885363},
R_s=R_NASA_2002/CLCN.MM);
constant IdealGases.Common.DataRecord CLF(
name="CLF",
MM=0.0544514032,
Hf=-1022948.71622335,
H0=163597.3818210069,
Tlimit=1000,
alow={33522.1081,-368.83119,4.27228862,0.002549434508,-4.45683089e-006,
3.41385412e-009,-9.8386852e-013},
blow={-5839.36969,0.2318014199},
ahigh={3045867.173,-9979.32826,16.84162254,-0.007465850620000001,
2.336213612e-006,-3.36586546e-010,1.763082415e-014},
bhigh={54471.20800000001,-87.07987094000001},
R_s=R_NASA_2002/CLF.MM);
constant IdealGases.Common.DataRecord CLF3(
name="CLF3",
MM=0.0924482096,
Hf=-1780456.330221889,
H0=148498.8087860168,
Tlimit=1000,
alow={128517.5171,-2140.445721,14.93096474,-0.00604247104,3.71896861e-006,-8.0532011e-010,
-7.98560053e-014},
blow={-11384.5964,-55.94838353},
ahigh={-229495.6235,-122.0741,10.09124644,-3.64972475e-005,8.05891075e-009,
-9.23084995e-013,4.27256949e-017},
bhigh={-22828.40447,-25.11605479},
R_s=R_NASA_2002/CLF3.MM);
constant IdealGases.Common.DataRecord CLF5(
name="CLF5",
MM=0.130445016,
Hf=-1824523.521849237,
H0=137455.5851179473,
Tlimit=1000,
alow={245970.3939,-4315.34807,27.27005972,-0.01670193839,1.421668208e-005,-6.426479740000001e-009,
1.183099799e-012},
blow={-10714.23726,-126.7466837},
ahigh={-426932.7449999999,-205.805739,16.15465278,-6.21268818e-005,
1.376637959e-008,-1.581335709e-012,7.33642249e-017},
bhigh={-33614.666,-57.57531175},
R_s=R_NASA_2002/CLF5.MM);
constant IdealGases.Common.DataRecord CLO(
name="CLO",
MM=0.0514524,
Hf=1975051.018028314,
H0=185066.4886380422,
Tlimit=1000,
alow={-16872.68145,257.3812247,2.17584612,0.006432061130000001,-8.568249500000001e-006,
5.764971250000001e-009,-1.545771209e-012},
blow={9829.518979999999,13.86010503},
ahigh={409376.052,-1765.985112,7.08790063,-0.001828450169,7.1038181e-007,-1.209332942e-010,
7.07644104e-015},
bhigh={21518.91784,-16.68645548},
R_s=R_NASA_2002/CLO.MM);
constant IdealGases.Common.DataRecord CLO2(
name="CLO2",
MM=0.06745180000000001,
Hf=1556667.131195906,
H0=160123.9107036432,
Tlimit=1000,
alow={-11272.77696,390.303203,-0.384301853,0.02108677947,-2.793137755e-005,
1.841289286e-008,-4.83977915e-012},
blow={9756.93367,29.132627},
ahigh={-163379.3802,-316.148067,7.00978726,0.0002837971144,-1.179925338e-007,
2.920383252e-011,-2.024030202e-015},
bhigh={11849.46452,-10.91168827},
R_s=R_NASA_2002/CLO2.MM);
constant IdealGases.Common.DataRecord CL2(
name="CL2",
MM=0.07090600000000001,
Hf=0,
H0=129482.8364313316,
Tlimit=1000,
alow={34628.1517,-554.7126520000001,6.20758937,-0.002989632078,
3.17302729e-006,-1.793629562e-009,4.260043590000001e-013},
blow={1534.069331,-9.438331107},
ahigh={6092569.42,-19496.27662,28.54535795,-0.01449968764,4.46389077e-006,-6.35852586e-010,
3.32736029e-014},
bhigh={121211.7724,-169.0778824},
R_s=R_NASA_2002/CL2.MM);
constant IdealGases.Common.DataRecord CL2O(
name="CL2O",
MM=0.08690539999999999,
Hf=909034.4213363037,
H0=134577.1609129007,
Tlimit=1000,
alow={77988.554,-1182.537879,9.52651466,-0.002596163176,
8.696781310000001e-007,4.484098269999999e-010,-3.044511967e-013},
blow={13767.29572,-24.84690718},
ahigh={-127174.3461,-67.4196322,7.05002245,-1.988084386e-005,
4.366209050000001e-009,-4.978580680000001e-013,2.295679186e-017},
bhigh={7387.2893,-8.797477254},
R_s=R_NASA_2002/CL2O.MM);
constant IdealGases.Common.DataRecord Co(
name="Co",
MM=0.0589332,
Hf=7269953.099441402,
H0=107914.8595358813,
Tlimit=1000,
alow={-2598.939184,246.1989844,-0.610605837,0.01393005772,-2.210012979e-005,
1.623755261e-008,-4.534904351e-012},
blow={49846.1376,22.57584199},
ahigh={1381841.305,-3756.03668,6.65713065,-0.001269246675,1.464092329e-007,
6.57494657e-012,-1.102384178e-015},
bhigh={74944.42909999999,-22.58500836},
R_s=R_NASA_2002/Co.MM);
constant IdealGases.Common.DataRecord Coplus(
name="Coplus",
MM=0.05893265139999999,
Hf=20243503.02691455,
H0=106757.5758181482,
Tlimit=1000,
alow={102849.416,-874.473126,4.27950028,0.002225857835,-7.45727457e-006,
7.27922195e-009,-2.347541963e-012},
blow={147489.5959,-5.67901922},
ahigh={2907386.174,-8619.705749999999,11.88134934,-0.00351064742,
5.74800468e-007,-2.534065135e-011,2.976607469e-016},
bhigh={197741.9221,-60.9653344},
R_s=R_NASA_2002/Coplus.MM);
constant IdealGases.Common.DataRecord Cominus(
name="Cominus",
MM=0.0589337486,
Hf=6081648.978968902,
H0=107014.6079253475,
Tlimit=1000,
alow={34594.9376,-135.5041712,1.116330898,0.009042761829999999,-1.454296726e-005,
9.99494063e-009,-2.595633259e-012},
blow={43370.3782,12.70494975},
ahigh={-574139.417,1763.109207,1.415561988,0.000377686969,-7.53417998e-008,
7.99570154e-012,-3.49044e-016},
bhigh={30834.93114,16.34360353},
R_s=R_NASA_2002/Cominus.MM);
constant IdealGases.Common.DataRecord Cr(
name="Cr",
MM=0.0519961,
Hf=7644419.485307553,
H0=119190.2469608298,
Tlimit=1000,
alow={1335.658217,-21.02424026,2.631908173,-0.000424626325,7.43919416e-007,
-6.76393163e-010,2.507855625e-013},
blow={47158.6664,6.00542545},
ahigh={-11202207.89,34011.63690000001,-36.5706217,0.02110296902,-5.51818014e-006,
7.17360171e-010,-3.505127367e-014},
bhigh={-168899.344,286.4481267},
R_s=R_NASA_2002/Cr.MM);
constant IdealGases.Common.DataRecord Crplus(
name="Crplus",
MM=0.0519955514,
Hf=20319944.67895959,
H0=119191.5045255199,
Tlimit=1000,
alow={181.9187467,-2.188843517,2.510676511,-2.706791825e-005,
3.76849263e-008,-2.736784742e-011,8.115389931999999e-015},
blow={126338.0825,6.50627617},
ahigh={3342330.79,-10642.61051,15.57884307,-0.00770897148,2.158300274e-006,
-2.36810811e-010,8.952805604e-015},
bhigh={193299.767,-86.0435667},
R_s=R_NASA_2002/Crplus.MM);
constant IdealGases.Common.DataRecord Crminus(
name="Crminus",
MM=0.0519966486,
Hf=6289317.423431017,
H0=119188.989422676,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={38586.2787,6.56683537},
ahigh={0,0,2.5,0,0,0,0},
bhigh={38586.2787,6.56683537},
R_s=R_NASA_2002/Crminus.MM);
constant IdealGases.Common.DataRecord CrN(
name="CrN",
MM=0.0660028,
Hf=7651323.883229196,
H0=132991.1609810493,
Tlimit=1000,
alow={-8239.129220000001,300.8144202,0.514787492,0.01129636791,-1.515183504e-005,
1.010997229e-008,-2.68777575e-012},
blow={58456.2812,22.98028696},
ahigh={1110672.49,-3690.47854,8.59905668,-0.002125587223,5.28235848e-007,-4.92113915e-011,
1.404331106e-015},
bhigh={82548.04580000001,-27.99968411},
R_s=R_NASA_2002/CrN.MM);
constant IdealGases.Common.DataRecord CrO(
name="CrO",
MM=0.0679955,
Hf=2744024.501621431,
H0=144849.5562206323,
Tlimit=1000,
alow={9373.33411,136.9743818,1.621443428,0.008814095959999999,-1.23284536e-005,
8.497960940000001e-009,-2.315804197e-012},
blow={20909.48871,17.81935787},
ahigh={1092367.332,-3749.75865,9.00787021,-0.002545445236,
6.928051680000001e-007,-6.390831950000001e-011,1.659741645e-015},
bhigh={44470.9821,-29.42600453},
R_s=R_NASA_2002/CrO.MM);
constant IdealGases.Common.DataRecord CrO2(
name="CrO2",
MM=0.0839949,
Hf=-1286307.085311132,
H0=127315.6941671459,
Tlimit=1000,
alow={35486.299,-229.8628537,2.286289393,0.01616929338,-2.34519891e-005,
1.631365714e-008,-4.44426962e-012},
blow={-12789.1284,14.42954956},
ahigh={-432710.914,191.5584657,7.18824737,-0.000569484619,3.54636613e-007,-5.65512306e-011,
2.908946349e-015},
bhigh={-17433.39545,-10.0642472},
R_s=R_NASA_2002/CrO2.MM);
constant IdealGases.Common.DataRecord CrO3(
name="CrO3",
MM=0.09999429999999999,
Hf=-3220554.411601461,
H0=130408.1532647361,
Tlimit=1000,
alow={41830.2006,-505.934885,4.43271567,0.01995079387,-2.920597649e-005,
2.03933028e-008,-5.580086630000001e-012},
blow={-37697.024,0.8653827279999999},
ahigh={-628331.401,692.8158179999999,8.971274599999999,0.000682336564,-2.235048825e-007,
3.36678579e-011,-1.614026492e-015},
bhigh={-47238.802,-19.45305345},
R_s=R_NASA_2002/CrO3.MM);
constant IdealGases.Common.DataRecord CrO3minus(
name="CrO3minus",
MM=0.09999484859999999,
Hf=-6328834.473579072,
H0=134244.3054611516,
Tlimit=1000,
alow={187345.5703,-2300.722991,13.43953022,-0.001663085846,-1.443973096e-006,
2.045898933e-009,-6.8375553e-013},
blow={-66301.1158,-49.306442},
ahigh={-649968.203,452.201762,9.9805759,-0.000421413673,2.631277945e-007,-4.594543650000001e-011,
2.659097549e-015},
bhigh={-83500.1973,-24.648109},
R_s=R_NASA_2002/CrO3minus.MM);
constant IdealGases.Common.DataRecord Cs(
name="Cs",
MM=0.13290545,
Hf=575597.1632465035,
H0=46630.35263038498,
Tlimit=1000,
alow={54.6658407,-0.827934604,2.50494221,-1.49462069e-005,2.425976774e-008,
-2.013172322e-011,6.704271991e-015},
blow={8459.321389999999,6.848825772},
ahigh={6166040.899999999,-18961.75522,24.83229903,-0.01251977234,
3.30901739e-006,-3.35401202e-010,9.626500908000001e-015},
bhigh={128511.1231,-152.2942188},
R_s=R_NASA_2002/Cs.MM);
constant IdealGases.Common.DataRecord Csplus(
name="Csplus",
MM=0.1329049014,
Hf=3449096.483058675,
H0=46630.54510945222,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={54387.3782,6.182757992},
ahigh={0,0,2.5,0,0,0,0},
bhigh={54387.3782,6.182757992},
R_s=R_NASA_2002/Csplus.MM);
constant IdealGases.Common.DataRecord Csminus(
name="Csminus",
MM=0.1329059986,
Hf=186577.1918589685,
H0=46630.16015290675,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={2237.029001,6.182770382},
ahigh={0,0,2.5,0,0,0,0},
bhigh={2237.029001,6.182770382},
R_s=R_NASA_2002/Csminus.MM);
constant IdealGases.Common.DataRecord CsBO2(
name="CsBO2",
MM=0.17571525,
Hf=-3909176.386227149,
H0=82326.91243361063,
Tlimit=1000,
alow={41936.0958,-666.4237400000001,8.134835880000001,0.002902960302,-7.88146792e-007,
-8.327694539999999e-010,4.44171911e-013},
blow={-81223.2007,-11.21622595},
ahigh={89755.79890000001,-1656.134283,11.16468934,-0.000447636699,
9.621091809999999e-008,-1.081470115e-011,4.93844674e-016},
bhigh={-76104.79670000001,-30.36616012},
R_s=R_NASA_2002/CsBO2.MM);
constant IdealGases.Common.DataRecord CsBr(
name="CsBr",
MM=0.21280945,
Hf=-971897.0421661255,
H0=48898.79185346327,
Tlimit=1000,
alow={1639.263647,-69.4747797,4.86005872,-0.0008587780150000001,
1.37517755e-006,-9.89176698e-010,2.895433432e-013},
blow={-25895.50471,4.46535569},
ahigh={-152832.9963,1259.712657,1.704268408,0.002776255318,-1.228389838e-006,
2.698111786e-010,-1.98353448e-014},
bhigh={-33278.4203,24.84116659},
R_s=R_NASA_2002/CsBr.MM);
constant IdealGases.Common.DataRecord CsCL(
name="CsCL",
MM=0.16835845,
Hf=-1438768.757968489,
H0=60175.90444673255,
Tlimit=1000,
alow={-25381.65292,297.2839326,2.667813848,0.00558327241,-8.52900509e-006,
6.595191390000001e-009,-1.989715823e-012},
blow={-31892.5145,15.11365709},
ahigh={-3674923.48,11861.52941,-10.63287842,0.009804117919999999,-3.27779746e-006,
5.53423339e-010,-3.4012315e-014},
bhigh={-104865.8658,111.4096064},
R_s=R_NASA_2002/CsCL.MM);
constant IdealGases.Common.DataRecord CsF(
name="CsF",
MM=0.1519038532,
Hf=-2397667.184389764,
H0=63494.87387460162,
Tlimit=1000,
alow={18436.85799,-404.240939,6.38317886,-0.00467432337,6.63013401e-006,-4.76090553e-009,
1.374569797e-012},
blow={-43184.8959,-7.22659323},
ahigh={-1850863.231,5625.298800000001,-2.250022212,0.00410924354,-1.250243837e-006,
1.941483152e-010,-1.071166179e-014},
bhigh={-80798.2779,51.3555945},
R_s=R_NASA_2002/CsF.MM);
constant IdealGases.Common.DataRecord CsH(
name="CsH",
MM=0.13391339,
Hf=865858.9406182609,
H0=66058.4128293668,
Tlimit=1000,
alow={16205.44411,-70.8701628,2.480847135,0.00702198599,-1.007126309e-005,
7.09063903e-009,-1.950395735e-012},
blow={13427.77328,9.89424717},
ahigh={-911214.6649999999,3576.47275,-1.258058765,0.00431485515,-1.407820502e-006,
2.154598897e-010,-1.254525606e-014},
bhigh={-9158.717270000001,39.0880003},
R_s=R_NASA_2002/CsH.MM);
constant IdealGases.Common.DataRecord CsI(
name="CsI",
MM=0.25980992,
Hf=-586274.2769791085,
H0=40607.09845105222,
Tlimit=1000,
alow={-4072.68565,23.30073667,4.38727769,0.000341208429,-2.175588153e-007,
8.906786999999999e-011,-2.182639837e-015},
blow={-19787.66885,8.074657820000001},
ahigh={4511259.05,-13417.06362,19.80984712,-0.008359855550000002,
2.348201245e-006,-2.874285248e-010,1.20808775e-014},
bhigh={65734.3913,-102.1032592},
R_s=R_NASA_2002/CsI.MM);
constant IdealGases.Common.DataRecord CsLi(
name="CsLi",
MM=0.13984645,
Hf=1159459.707414811,
H0=73946.27464622805,
Tlimit=1000,
alow={1368.709568,-74.5129706,4.84562093,-0.0005573667210000001,
4.95332676e-007,4.36906891e-010,-4.60814577e-013},
blow={18505.77392,2.112012017},
ahigh={7481630.23,-28852.97839,46.3110499,-0.02784288108,8.78741349e-006,-1.264901197e-009,
6.72018628e-014},
bhigh={194513.7819,-285.7846194},
R_s=R_NASA_2002/CsLi.MM);
constant IdealGases.Common.DataRecord CsNO2(
name="CsNO2",
MM=0.17891095,
Hf=-1175667.716257725,
H0=89319.13893476056,
Tlimit=1000,
alow={-71060.1044,1272.448257,-2.447362349,0.03064441948,-3.69922594e-005,
2.259121812e-008,-5.58063591e-012},
blow={-33133.7092,49.54693336},
ahigh={-163350.3154,-846.8879579999999,10.62853461,-0.0002508799215,
5.54125577e-008,-6.35559195e-012,2.946880031e-016},
bhigh={-24030.40739,-24.43488888},
R_s=R_NASA_2002/CsNO2.MM);
constant IdealGases.Common.DataRecord CsNO3(
name="CsNO3",
MM=0.19491035,
Hf=-1634014.76627588,
H0=84980.65905684332,
Tlimit=1000,
alow={-26772.19779,901.169269,-3.26534082,0.04298377699999999,-5.38675138e-005,
3.38452752e-008,-8.56522366e-012},
blow={-44053.0414,51.18862689},
ahigh={-314751.7676,-1367.011655,14.01012848,-0.000401864713,8.8536147e-008,
-1.013466457e-011,4.69175873e-016},
bhigh={-35490.2667,-45.00692791},
R_s=R_NASA_2002/CsNO3.MM);
constant IdealGases.Common.DataRecord CsNa(
name="CsNa",
MM=0.15589522,
Hf=807640.7281762712,
H0=68649.50060688198,
Tlimit=1000,
alow={25217.38609,-429.5362489999999,7.22309474,-0.008460463000000001,
1.443905157e-005,-1.143624855e-008,3.18372193e-012},
blow={15790.99265,-8.838790299999999},
ahigh={3879556.79,-17801.67288,34.913558,-0.02320080793,
7.861975840000001e-006,-1.171011257e-009,6.323927369999999e-014},
bhigh={119577.6556,-200.1754433},
R_s=R_NASA_2002/CsNa.MM);
constant IdealGases.Common.DataRecord CsO(
name="CsO",
MM=0.14890485,
Hf=252425.0754760506,
H0=66049.68206206849,
Tlimit=1000,
alow={8683.95881,425.027817,-3.4840553,0.0380196983,-6.651927559999999e-005,
5.17347219e-008,-1.512567066e-011},
blow={1969.690015,42.4079614},
ahigh={837554.4350000001,-2418.205772,8.908065349999999,-0.00337818004,
1.312755917e-006,-2.150508925e-010,1.21913898e-014},
bhigh={18094.93447,-24.6085858},
R_s=R_NASA_2002/CsO.MM);
constant IdealGases.Common.DataRecord CsOH(
name="CsOH",
MM=0.14991279,
Hf=-1707659.499899908,
H0=78943.82460629277,
Tlimit=1000,
alow={9386.960789999999,-500.935426,8.30135198,-0.00323559684,
2.612406777e-006,-4.95061341e-010,-1.038364927e-013},
blow={-30257.22427,-17.42194837},
ahigh={896717.113,-2323.978587,7.95964487,0.0001101149275,-6.466013969999999e-008,
1.045968201e-011,-5.82251417e-016},
bhigh={-17362.58234,-18.64239624},
R_s=R_NASA_2002/CsOH.MM);
constant IdealGases.Common.DataRecord CsRb(
name="CsRb",
MM=0.21837325,
Hf=510489.8699817858,
H0=50244.85370804345,
Tlimit=1000,
alow={-4910.92268,-9.20901555,5.19337789,-0.00439024699,1.254790436e-005,-1.414878514e-008,
5.10144131e-012},
blow={12004.98171,5.36154293},
ahigh={-13286933.78,34145.7947,-23.73696406,0.0070704654,3.86345097e-007,-3.158132986e-010,
2.667747207e-014},
bhigh={-212400.8997,223.9970251},
R_s=R_NASA_2002/CsRb.MM);
constant IdealGases.Common.DataRecord Cs2(
name="Cs2",
MM=0.2658109,
Hf=411587.083148208,
H0=41492.40305796338,
Tlimit=1000,
alow={-46741.5873,595.201951,1.895333975,0.00408206581,2.531487119e-006,-9.085139030000001e-009,
4.29017993e-012},
blow={8857.282570000001,23.91592727},
ahigh={-25927395.9,75398.1891,-74.840868,0.0369286679,-8.08249724e-006,
8.171850729999999e-010,-3.0892859e-014},
bhigh={-471504.572,586.093375},
R_s=R_NASA_2002/Cs2.MM);
constant IdealGases.Common.DataRecord Cs2Br2(
name="Cs2Br2",
MM=0.4256189,
Hf=-1329426.08751632,
H0=51955.23507062304,
Tlimit=1000,
alow={-6321.28518,-12.13153529,10.04967112,-0.0001102100044,
1.365293456e-007,-8.85695707e-011,2.339447704e-014},
blow={-70997.71709999999,-7.53942479},
ahigh={-7545.84665,-0.2087093009,10.00018042,-8.03426073e-008,
1.923604258e-011,-2.34469814e-015,1.139365834e-019},
bhigh={-71058.8354,-7.25179304},
R_s=R_NASA_2002/Cs2Br2.MM);
constant IdealGases.Common.DataRecord Cs2CO3(
name="Cs2CO3",
MM=0.3258198,
Hf=-2475134.841406201,
H0=65002.37554623753,
Tlimit=1000,
alow={-46731.3,943.6549060000001,-0.2374670436,0.0416848461,-5.09437221e-005,
3.132078394e-008,-7.78042167e-012},
blow={-103916.2411,40.55853980000001},
ahigh={-303714.9985,-1517.0784,17.11941656,-0.000444970012,
9.798325240000001e-008,-1.121256063e-011,5.189734780000001e-016},
bhigh={-94204.1477,-56.8200626},
R_s=R_NASA_2002/Cs2CO3.MM);
constant IdealGases.Common.DataRecord Cs2CL2(
name="Cs2CL2",
MM=0.3367169,
Hf=-1914541.260031796,
H0=62202.73470087186,
Tlimit=1000,
alow={-10779.56357,-53.4610695,10.21710683,-0.000478968703,5.90894653e-007,
-3.82141652e-010,1.006995985e-013},
blow={-80295.1517,-12.07856486},
ahigh={-16251.43966,-0.900613735,10.00077173,-3.41619408e-007,
8.14496808e-011,-9.897475279999999e-015,4.79833081e-019},
bhigh={-80565.13219999999,-10.81977337},
R_s=R_NASA_2002/Cs2CL2.MM);
constant IdealGases.Common.DataRecord Cs2F2(
name="Cs2F2",
MM=0.3038077064,
Hf=-2935601.985111462,
H0=63818.65762968019,
Tlimit=1000,
alow={-9942.67748,-253.6723355,11.00684073,-0.002185640152,2.664791874e-006,
-1.708229209e-009,4.47115198e-013},
blow={-109058.2601,-20.00699602},
ahigh={-36779.4642,-4.35575348,10.00366687,-1.603814186e-006,
3.79146974e-010,-4.57868743e-014,2.209385787e-018},
bhigh={-110345.6448,-14.15086452},
R_s=R_NASA_2002/Cs2F2.MM);
constant IdealGases.Common.DataRecord Cs2I2(
name="Cs2I2",
MM=0.5196198399999999,
Hf=-873779.3710879093,
H0=43464.2815024153,
Tlimit=1000,
alow={-4449.28697,-5.32179366,10.02183919,-4.85337485e-005,
6.019338399999999e-008,-3.90822639e-011,1.032981014e-014},
blow={-57578.2338,-5.27126709},
ahigh={-4983.37601,-0.09461179879999999,10.00008229,-3.68096204e-008,
8.844660910000001e-012,-1.081178562e-015,5.26614198e-020},
bhigh={-57605.01040000001,-5.14486489},
R_s=R_NASA_2002/Cs2I2.MM);
constant IdealGases.Common.DataRecord Cs2O(
name="Cs2O",
MM=0.2818103,
Hf=-506920.240317689,
H0=49997.65799901566,
Tlimit=1000,
alow={19105.33804,-496.218153,8.7596063,-0.00351162279,4.01647983e-006,-2.450899853e-009,
6.17240489e-013},
blow={-16776.64956,-11.59258822},
ahigh={-41191.4741,-10.79255391,7.00850047,-3.54295578e-006,8.08169912e-010,
-9.499419930000001e-014,4.48912254e-018},
bhigh={-19343.7785,-1.20397045},
R_s=R_NASA_2002/Cs2O.MM);
constant IdealGases.Common.DataRecord Cs2Oplus(
name="Cs2Oplus",
MM=0.2818097514,
Hf=1006707.271805216,
H0=51267.65815670069,
Tlimit=1000,
alow={683.705609,-243.5575007,7.78303747,-0.001414552725,1.470799739e-006,-8.218821330000001e-010,
1.911749489e-013},
blow={33241.9487,-4.75042356},
ahigh={-31530.85844,-5.77155903,7.00448263,-1.848241331e-006,4.1808823e-010,
-4.88237627e-014,2.295419936e-018},
bhigh={31962.2731,-0.0543435069},
R_s=R_NASA_2002/Cs2Oplus.MM);
constant IdealGases.Common.DataRecord Cs2O2(
name="Cs2O2",
MM=0.2978097,
Hf=-829620.7410302619,
H0=58515.54197193711,
Tlimit=1000,
alow={22745.0518,-566.7912570000001,10.01728332,0.002547081016,-4.90921669e-006,
3.84878891e-009,-1.124566008e-012},
blow={-29473.3436,-18.41275291},
ahigh={-119003.2094,-92.6107526,10.06915777,-2.766227147e-005,
6.11075296e-009,-7.003595480000001e-013,3.24374252e-017},
bhigh={-32556.1074,-17.24868948},
R_s=R_NASA_2002/Cs2O2.MM);
constant IdealGases.Common.DataRecord Cs2O2H2(
name="Cs2O2H2",
MM=0.29982558,
Hf=-2177932.916864532,
H0=79837.59424396011,
Tlimit=1000,
alow={-10859.81041,-688.306842,16.43543354,-0.00403922058,2.331117156e-006,
8.43965163e-010,-6.85930973e-013},
blow={-79394.7623,-49.0619681},
ahigh={1802857.941,-4656.35475,16.93566597,0.0002117402535,-1.272249096e-007,
2.066555839e-011,-1.152390667e-015},
bhigh={-51908.1369,-58.4971916},
R_s=R_NASA_2002/Cs2O2H2.MM);
constant IdealGases.Common.DataRecord Cs2SO4(
name="Cs2SO4",
MM=0.3618735,
Hf=-3088515.279510658,
H0=66288.81639578473,
Tlimit=1000,
alow={61536.3787,-638.137433,6.89477209,0.0396018291,-5.529862010000001e-005,
3.73633252e-008,-9.973241829999999e-012},
blow={-133976.031,-1.284432588},
ahigh={-522339.752,-944.415525,19.70476453,-0.000282122599,
6.240792279999999e-008,-7.16346407e-012,3.32266719e-016},
bhigh={-136417.9983,-68.20406795},
R_s=R_NASA_2002/Cs2SO4.MM);
constant IdealGases.Common.DataRecord Cu(
name="Cu",
MM=0.06354600000000001,
Hf=5309539.54615554,
H0=97526.64211752116,
Tlimit=1000,
alow={77.1313315,-1.169236206,2.506987803,-2.116434879e-005,3.44171471e-008,
-2.862608999e-011,9.559250991000001e-015},
blow={39839.8121,5.73081322},
ahigh={2308090.411,-8503.261,14.67859102,-0.00846713652,2.887821016e-006,-4.27065918e-010,
2.304265084e-014},
bhigh={92075.3562,-78.5470156},
R_s=R_NASA_2002/Cu.MM);
constant IdealGases.Common.DataRecord Cuplus(
name="Cuplus",
MM=0.06354545139999999,
Hf=17138594.56508637,
H0=97527.48408362082,
Tlimit=1000,
alow={-0.002452340093,2.606893531e-005,2.49999989,2.351922485e-010,-2.669362382e-013,
1.510315123e-016,-3.278224814e-020},
blow={130240.0621,5.07594077},
ahigh={-2181443.016,7217.85819,-6.94115475,0.00620824892,-2.139340497e-006,
3.56643144e-010,-2.081198501e-014},
bhigh={85164.56659999999,71.16800670000001},
R_s=R_NASA_2002/Cuplus.MM);
constant IdealGases.Common.DataRecord Cuminus(
name="Cuminus",
MM=0.0635465486,
Hf=3347445.812344244,
H0=97525.80016595896,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={24838.64954,5.07596603},
ahigh={0,0,2.5,0,0,0,0},
bhigh={24838.64954,5.07596603},
R_s=R_NASA_2002/Cuminus.MM);
constant IdealGases.Common.DataRecord CuCL(
name="CuCL",
MM=0.09899899999999999,
Hf=920110.3041444863,
H0=95669.40070101718,
Tlimit=1000,
alow={14698.47736,-339.316725,5.72345959,-0.002417296132,2.858019864e-006,-1.757900548e-009,
4.455047290000001e-013},
blow={11317.14015,-4.527352594},
ahigh={-25771.2241,-7.10634606,4.50562318,5.39454827e-005,5.38641796e-010,-6.348482770000001e-014,
3.006622062e-018},
bhigh={9566.192870000001,2.680067564},
R_s=R_NASA_2002/CuCL.MM);
constant IdealGases.Common.DataRecord CuF(
name="CuF",
MM=0.08254440320000001,
Hf=-152039.3813932136,
H0=110038.847552053,
Tlimit=1000,
alow={37613.8541,-546.8104900000001,5.83235172,-0.001695312068,
1.21815088e-006,-3.71328528e-010,2.002276589e-014},
blow={58.6514072,-7.15693009},
ahigh={509415.483,-1415.00987,5.63234938,-0.000162912841,-1.156611499e-007,
5.06603408e-011,-4.15320511e-015},
bhigh={6305.506600000001,-7.40777361},
R_s=R_NASA_2002/CuF.MM);
constant IdealGases.Common.DataRecord CuF2(
name="CuF2",
MM=0.1015428064,
Hf=-2628842.056506328,
H0=118727.3665897026,
Tlimit=1000,
alow={65733.1128,-896.243084,7.91756094,0.001345667904,-4.16240001e-006,
3.71618109e-009,-1.155537597e-012},
blow={-29168.87325,-15.87076153},
ahigh={-1650355.082,3775.36212,3.88911655,0.000682191264,1.875979026e-007,-5.67736811e-011,
3.82324873e-015},
bhigh={-59533.717,15.22659664},
R_s=R_NASA_2002/CuF2.MM);
constant IdealGases.Common.DataRecord CuO(
name="CuO",
MM=0.0795454,
Hf=3850254.068745647,
H0=122583.317199989,
Tlimit=1000,
alow={4689.76224,-118.4808464,4.56615524,0.000430905802,-8.309886399999999e-007,
6.94663802e-010,-2.108693366e-013},
blow={36151.9068,1.733847344},
ahigh={358228.017,-913.9366409999999,5.13689867,6.240577240000001e-005,-1.558613495e-007,
5.23680312e-011,-4.026745619999999e-015},
bhigh={41507.9286,-2.63407096},
R_s=R_NASA_2002/CuO.MM);
constant IdealGases.Common.DataRecord Cu2(
name="Cu2",
MM=0.127092,
Hf=3818808.422245302,
H0=78133.58826676737,
Tlimit=1000,
alow={-852.918348,-97.2004493,4.8822337,-0.00073713694,1.000575401e-006,-6.391989439999999e-010,
1.668655797e-013},
blow={57493.0702,1.105391325},
ahigh={-86993.995,320.910387,3.97380288,0.000508080967,-1.707470385e-007,
3.21910819e-011,-1.958830868e-015},
bhigh={55060.9019,6.91450217},
R_s=R_NASA_2002/Cu2.MM);
constant IdealGases.Common.DataRecord Cu3CL3(
name="Cu3CL3",
MM=0.296997,
Hf=-870614.854695502,
H0=96713.73784920386,
Tlimit=1000,
alow={4487.88532,-873.6644439999999,19.36189091,-0.00713744786,
8.56045487e-006,-5.419978740000001e-009,1.40517535e-012},
blow={-31626.8996,-59.76797945000001},
ahigh={-91885.59679999999,-15.7193643,16.0129417,-5.57299237e-006,
1.302748507e-009,-1.560175322e-013,7.48082757e-018},
bhigh={-36087.6074,-40.13211395},
R_s=R_NASA_2002/Cu3CL3.MM);
constant IdealGases.Common.DataRecord D(
name="D",
MM=0.002014102,
Hf=110083912.3341321,
H0=3077017.946459514,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={25921.287,0.591714338},
ahigh={60.50019210000001,-0.1810766064,2.500210817,-1.220711706e-007,
3.71517217e-011,-5.66068021e-015,3.393920393e-019},
bhigh={25922.43752,0.590212537},
R_s=R_NASA_2002/D.MM);
constant IdealGases.Common.DataRecord Dplus(
name="Dplus",
MM=0.0020135534,
Hf=764978136.6612874,
H0=3077856.291270944,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={184512.0037,-0.1018414521},
ahigh={0,0,2.5,0,0,0,0},
bhigh={184512.0037,-0.1018414521},
R_s=R_NASA_2002/Dplus.MM);
constant IdealGases.Common.DataRecord Dminus(
name="Dminus",
MM=0.0020146506,
Hf=70857312.92562591,
H0=3076180.058219525,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={16423.73393,-0.1010243437},
ahigh={0,0,2.5,0,0,0,0},
bhigh={16423.73393,-0.1010243437},
R_s=R_NASA_2002/Dminus.MM);
constant IdealGases.Common.DataRecord DBr(
name="DBr",
MM=0.08191810200000001,
Hf=-452116.1391166021,
H0=105814.2680112388,
Tlimit=1000,
alow={-19182.82458,202.0175399,3.044629038,-0.00148815745,6.8708978e-006,-6.59116028e-009,
2.093769216e-012},
blow={-6560.0744,8.008690039999999},
ahigh={665400.044,-2594.092228,6.8858794,-0.001103284901,2.894201105e-007,-3.152037514e-011,
1.011011776e-015},
bhigh={10378.1314,-19.73703653},
R_s=R_NASA_2002/DBr.MM);
constant IdealGases.Common.DataRecord DCL(
name="DCL",
MM=0.037467102,
Hf=-2496777.119297884,
H0=231165.5702648153,
Tlimit=1000,
alow={10464.21033,-231.3813446,5.42069326,-0.007508012650000001,
1.398672495e-005,-1.066249569e-008,3.011167635e-012},
blow={-11284.03374,-6.711842349},
ahigh={411728.4899999999,-1764.535217,5.6688771,-0.000347596417,
5.88268803e-008,3.76025313e-013,-5.16460056e-016},
bhigh={-1541.258092,-12.75659404},
R_s=R_NASA_2002/DCL.MM);
constant IdealGases.Common.DataRecord DF(
name="DF",
MM=0.0210125052,
Hf=-13145866.87169505,
H0=411093.4854164842,
Tlimit=1000,
alow={57213.7075,-731.17338,7.22087087,-0.00942396935,1.208025139e-005,-6.94181269e-009,
1.538525476e-012},
blow={-30692.30024,-19.32760992},
ahigh={800117.2800000001,-2438.386832,5.62066445,-0.0002020416838,
1.714418979e-008,2.697462563e-012,-2.88829741e-016},
bhigh={-18574.47029,-14.73004444},
R_s=R_NASA_2002/DF.MM);
constant IdealGases.Common.DataRecord DOCL(
name="DOCL",
MM=0.053466502,
Hf=-1487635.865910959,
H0=193108.0884999733,
Tlimit=1000,
alow={68528.3429,-767.344455,5.93397014,0.002868820667,-5.207166370000001e-006,
4.927572739999999e-009,-1.709526276e-012},
blow={-6824.03505,-7.757833983},
ahigh={604306.633,-2646.500381,8.61247421,-0.0005532268239999999,
1.086845232e-007,-1.13738129e-011,4.90429552e-016},
bhigh={4845.79518,-25.88861801},
R_s=R_NASA_2002/DOCL.MM);
constant IdealGases.Common.DataRecord DO2(
name="DO2",
MM=0.034012902,
Hf=190731.8581637051,
H0=295927.2337303062,
Tlimit=1000,
alow={-21114.79735,602.337175,-1.294877674,0.0181294797,-2.161807666e-005,
1.391729127e-008,-3.69774028e-012},
blow={-2976.943856,32.7283448},
ahigh={-1267224.927,2799.947016,2.325174609,0.00272632507,-6.31450732e-007,
6.7292892e-011,-2.765192818e-015},
bhigh={-19594.11733,17.89922833},
R_s=R_NASA_2002/DO2.MM);
constant IdealGases.Common.DataRecord DO2minus(
name="DO2minus",
MM=0.0340134506,
Hf=-3081002.019830355,
H0=296350.11509241,
Tlimit=1000,
alow={104870.5051,-890.6236769999999,5.66655356,0.001904603784,-1.21526321e-006,
6.57751333e-010,-2.147376147e-013},
blow={-8942.37725,-7.7972192},
ahigh={552766.192,-2796.895783,8.772206669999999,-0.0006291116630000001,
1.272331622e-007,-1.364440687e-011,6.00519944e-016},
bhigh={2512.066767,-28.90020381},
R_s=R_NASA_2002/DO2minus.MM);
constant IdealGases.Common.DataRecord D2(
name="D2",
MM=0.004028204,
Hf=0,
H0=2127276.324634999,
Tlimit=1000,
alow={21257.90482,-299.6945907,5.13031498,-0.004172970890000001,
5.014345719999999e-006,-2.126389969e-009,2.386536969e-013},
blow={394.49859,-11.64191209},
ahigh={821516.856,-2365.623159,5.34297451,6.92814599e-005,-8.52367102e-008,
2.456447415e-011,-1.960597698e-015},
bhigh={14342.14587,-17.12600356},
R_s=R_NASA_2002/D2.MM);
constant IdealGases.Common.DataRecord D2plus(
name="D2plus",
MM=0.004027655400000001,
Hf=372069647.517511,
H0=2147899.743359374,
Tlimit=1000,
alow={-96409.59090000001,1243.052385,-2.557714366,0.01343064234,-1.285600289e-005,
6.46342167e-009,-1.337616868e-012},
blow={173096.6171,33.5631492},
ahigh={925595.135,-4505.21994,11.03203365,-0.00470608903,1.83806846e-006,-3.135924623e-010,
1.857684975e-014},
bhigh={205829.889,-52.8391224},
R_s=R_NASA_2002/D2plus.MM);
constant IdealGases.Common.DataRecord D2minus(
name="D2minus",
MM=0.004028752599999999,
Hf=58370578.77418436,
H0=2162915.389741232,
Tlimit=1000,
alow={-4365.33206,311.2987057,0.548195003,0.009956988109999999,-1.167000612e-005,
6.97565641e-009,-1.682718179e-012},
blow={25978.97625,14.42223161},
ahigh={-57988.05190000001,-312.2959355,4.73038828,5.6959008e-005,
2.01897543e-008,-2.311492448e-012,1.070266527e-016},
bhigh={28512.00896,-9.15752792},
R_s=R_NASA_2002/D2minus.MM);
constant IdealGases.Common.DataRecord D2O(
name="D2O",
MM=0.020027604,
Hf=-12443325.72183872,
H0=497314.4565870186,
Tlimit=1000,
alow={6958.27847,-12.80889437,3.59587887,0.001502093683,3.59467505e-007,
5.3404172e-010,-5.18194127e-013},
blow={-31019.44566,2.895556576},
ahigh={1544193.253,-5474.238899999999,10.17542424,-0.0009619415540000001,
2.036545675e-007,-2.050566442e-011,8.510770689999999e-016},
bhigh={2983.24898,-44.6501157},
R_s=R_NASA_2002/D2O.MM);
constant IdealGases.Common.DataRecord D2O2(
name="D2O2",
MM=0.036027004,
Hf=-4005328.891628069,
H0=321026.9441222478,
Tlimit=1000,
alow={29577.11324,-68.9303757,2.043905473,0.01570281822,-1.935478714e-005,
1.384941336e-008,-4.1041849e-012},
blow={-18025.02679,13.47156482},
ahigh={1147867.936,-5225.76093,13.11088701,-0.001179811896,2.729336904e-007,
-2.961433535e-011,1.310306129e-015},
bhigh={12195.80532,-56.905382},
R_s=R_NASA_2002/D2O2.MM);
constant IdealGases.Common.DataRecord D2S(
name="D2S",
MM=0.036093204,
Hf=-665126.5983479882,
H0=279513.9217898196,
Tlimit=1000,
alow={3988.38648,-66.2079256,4.39335445,-0.002325113084,1.189503465e-005,-1.146524521e-008,
3.62619045e-012},
blow={-3787.38555,0.9238754374999999},
ahigh={423581.463,-2823.776231,8.96282184,-0.000646923123,1.634615644e-007,
-1.797991376e-011,8.16093957e-016},
bhigh={12046.03509,-31.91047376},
R_s=R_NASA_2002/D2S.MM);
constant IdealGases.Common.DataRecord eminus(
name="eminus",
MM=5.48579903e-007,
Hf=0,
H0=11297220270.20738,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={-745.375,-11.72081224},
ahigh={0,0,2.5,0,0,0,0},
bhigh={-745.375,-11.72081224},
R_s=R_NASA_2002/eminus.MM);
constant IdealGases.Common.DataRecord F(
name="F",
MM=0.0189984032,
Hf=4178245.885422623,
H0=343105.677428722,
Tlimit=1000,
alow={1137.409088,-145.3392797,4.07740361,-0.004303360139999999,
5.72889774e-006,-3.8193129e-009,1.018322509e-012},
blow={9311.110120000001,-3.55898265},
ahigh={14735.06226,81.4992736,2.444371819,2.120210026e-005,-4.54691862e-009,
5.10952873e-013,-2.333894647e-017},
bhigh={8388.37465,5.47871064},
R_s=R_NASA_2002/F.MM);
constant IdealGases.Common.DataRecord Fplus(
name="Fplus",
MM=0.0189978546,
Hf=93000834.52581009,
H0=353236.3070091083,
Tlimit=1000,
alow={-38716.8019,321.881566,2.200920452,-0.0002455492688,7.85835506e-007,-6.43598792e-010,
1.839793564e-013},
blow={209883.0937,7.81699924},
ahigh={16496.35664,133.7351478,2.332522942,0.0001215277877,-4.8010377e-008,
9.027225149999999e-012,-5.47066494e-016},
bhigh={211074.5327,6.62581709},
R_s=R_NASA_2002/Fplus.MM);
constant IdealGases.Common.DataRecord Fminus(
name="Fminus",
MM=0.0189989518,
Hf=-13426639.25280341,
H0=326198.4169042421,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={-31425.72443,3.26488271},
ahigh={0,0,2.5,0,0,0,0},
bhigh={-31425.72443,3.26488271},
R_s=R_NASA_2002/Fminus.MM);
constant IdealGases.Common.DataRecord FCN(
name="FCN",
MM=0.0450158032,
Hf=762573.3977795602,
H0=225008.9808460865,
Tlimit=1000,
alow={39844.5412,-698.865536,7.05883966,-0.001404863382,3.96465251e-006,-3.045609294e-009,
7.9230459e-013},
blow={6172.627570000001,-15.05643174},
ahigh={398187.355,-2302.971079,9.027081389999999,-0.000522871026,
1.191059272e-007,-1.280287231e-011,5.73380719e-016},
bhigh={15884.49451,-29.84971982},
R_s=R_NASA_2002/FCN.MM);
constant IdealGases.Common.DataRecord FCO(
name="FCO",
MM=0.0470085032,
Hf=-3816716.929629871,
H0=220980.3395739688,
Tlimit=1000,
alow={11326.62744,-53.979185,2.966927601,0.00755995935,-6.21177358e-006,
2.40378155e-009,-3.36950775e-013},
blow={-22403.69579,10.92652142},
ahigh={-60858.5158,-1022.397533,7.52732256,-0.0001057942328,-1.365311093e-009,
2.484612871e-012,-9.9979168e-017},
bhigh={-18050.98416,-16.30331278},
R_s=R_NASA_2002/FCO.MM);
constant IdealGases.Common.DataRecord FO(
name="FO",
MM=0.0349978032,
Hf=3114826.932908749,
H0=268245.4080432112,
Tlimit=1000,
alow={-39121.8244,796.703694,-1.634777767,0.01601810071,-2.095210771e-005,
1.382740666e-008,-3.66452495e-012},
blow={8375.525229999999,33.83325720000001},
ahigh={-1597940.503,4377.376380000001,-0.489750764,0.002682336321,-6.90080485e-007,
7.24647968e-011,-2.726912632e-015},
bhigh={-16442.48211,35.5992361},
R_s=R_NASA_2002/FO.MM);
constant IdealGases.Common.DataRecord FO2_FOO(
name="FO2_FOO",
MM=0.0509972032,
Hf=498066.529264099,
H0=220714.2998775274,
Tlimit=1000,
alow={5821.564,-234.7363967,5.43733876,0.002165855252,3.67147219e-007,-2.071530827e-009,
9.43106685e-013},
blow={2694.856027,-1.168202057},
ahigh={-1213166.895,2493.397189,4.46506574,0.0009416104040000001,-6.426472259999999e-008,
-1.085643277e-011,1.216995394e-015},
bhigh={-15968.00286,8.65519318},
R_s=R_NASA_2002/FO2_FOO.MM);
constant IdealGases.Common.DataRecord FO2_OFO(
name="FO2_OFO",
MM=0.0509972032,
Hf=7423936.534621569,
H0=206646.2734960336,
Tlimit=1000,
alow={-77341.064,1663.800209,-9.61281516,0.04989156870000001,-6.94621713e-005,
4.7077878e-008,-1.258890729e-011},
blow={36970.9273,77.9594304},
ahigh={-621186.7340000001,936.947459,6.40155875,0.0002136110846,-4.33797765e-008,
4.66731224e-012,-2.059767432e-016},
bhigh={36383.5727,-6.15026433},
R_s=R_NASA_2002/FO2_OFO.MM);
constant IdealGases.Common.DataRecord F2(
name="F2",
MM=0.0379968064,
Hf=0,
H0=232259.1511269747,
Tlimit=1000,
alow={10181.76308,22.74241183,1.97135304,0.008151604010000001,-1.14896009e-005,
7.95865253e-009,-2.167079526e-012},
blow={-958.6943,11.30600296},
ahigh={-2941167.79,9456.5977,-7.73861615,0.00764471299,-2.241007605e-006,
2.915845236e-010,-1.425033974e-014},
bhigh={-60710.0561,84.23835080000001},
R_s=R_NASA_2002/F2.MM);
constant IdealGases.Common.DataRecord F2O(
name="F2O",
MM=0.0539962064,
Hf=453735.5794684124,
H0=202079.4001557858,
Tlimit=1000,
alow={30829.19995,-229.9506259,2.603805825,0.01586111264,-2.345633734e-005,
1.679619314e-008,-4.70356033e-012},
blow={3055.185332,10.50933022},
ahigh={-188537.4518,-210.0729689,7.15123916,0.0001327687906,
1.804705706e-008,-1.416973671e-012,6.489389390000001e-017},
bhigh={1449.129965,-12.57858336},
R_s=R_NASA_2002/F2O.MM);
constant IdealGases.Common.DataRecord F2O2(
name="F2O2",
MM=0.06999560639999999,
Hf=274302.9311051158,
H0=196847.3981246915,
Tlimit=1000,
alow={56122.70460000001,-998.595223,8.98064939,0.00642190087,-9.88851602e-006,
6.85806101e-009,-1.842137493e-012},
blow={5298.71259,-22.39292195},
ahigh={-219056.3532,-391.092081,10.29107144,-0.0001163345202,
2.570922521e-008,-2.949199983e-012,1.367386916e-016},
bhigh={827.8020939999999,-27.56752555},
R_s=R_NASA_2002/F2O2.MM);
constant IdealGases.Common.DataRecord FS2F(
name="FS2F",
MM=0.1021268064,
Hf=-3294286.895472725,
H0=142913.5063994325,
Tlimit=1000,
alow={114446.228,-1853.247564,13.94098518,-0.00404368937,1.370970316e-006,
6.7119031e-010,-4.624954960000001e-013},
blow={-33510.6833,-48.49215357},
ahigh={-207709.7921,-109.4539831,10.08136946,-3.23953791e-005,
7.12522527e-009,-8.13478741e-013,3.75502241e-017},
bhigh={-43494.4606,-23.46916058},
R_s=R_NASA_2002/FS2F.MM);
constant IdealGases.Common.DataRecord Fe(
name="Fe",
MM=0.055845,
Hf=7439717.07404423,
H0=122666.7920136091,
Tlimit=1000,
alow={67908.2266,-1197.218407,9.84339331,-0.01652324828,1.917939959e-005,-1.149825371e-008,
2.832773807e-012},
blow={54669.9594,-33.8394626},
ahigh={-1954923.682,6737.161099999999,-5.48641097,0.004378803450000001,-1.116286672e-006,
1.544348856e-010,-8.023578182e-015},
bhigh={7137.37006,65.0497986},
R_s=R_NASA_2002/Fe.MM);
constant IdealGases.Common.DataRecord Feplus(
name="Feplus",
MM=0.0558444514,
Hf=21205649.25094779,
H0=124197.6387290645,
Tlimit=1000,
alow={-56912.3162,184.713439,4.19697212,-0.00597827597,1.054267912e-005,-8.059804319999999e-009,
2.256925874e-012},
blow={140120.6571,-0.360254258},
ahigh={-817645.009,1925.359408,1.717387154,0.000338533898,-9.813533120000001e-008,
2.228179208e-011,-1.483964439e-015},
bhigh={128635.2466,15.00256262},
R_s=R_NASA_2002/Feplus.MM);
constant IdealGases.Common.DataRecord Fe_CO_5(
name="Fe_CO_5",
MM=0.1958955,
Hf=-3715501.377009681,
H0=169199.3894704064,
Tlimit=1000,
alow={379780.571,-7285.92816,54.0023618,-0.06935400750000001,
0.0001026705717,-7.20737313e-008,1.958981996e-011},
blow={-58545.8048,-260.4377836},
ahigh={1116600.852,-8067.07473,36.5294241,-0.0020471903,4.44196775e-007,-4.93250713e-011,
2.235704865e-015},
bhigh={-48606.6125,-175.4566113},
R_s=R_NASA_2002/Fe_CO_5.MM);
constant IdealGases.Common.DataRecord FeCL(
name="FeCL",
MM=0.091298,
Hf=2749676.882297531,
H0=113662.435102631,
Tlimit=1000,
alow={11173.40353,-54.0214429,3.48605792,0.00687983714,-1.273679557e-005,
1.025321859e-008,-3.051544011e-012},
blow={29286.8199,9.428962979},
ahigh={528870.022,-1282.897413,5.79844169,-0.0002896589776,3.34390381e-008,
-1.469606582e-013,-1.213444602e-016},
bhigh={37261.9673,-4.075134191},
R_s=R_NASA_2002/FeCL.MM);
constant IdealGases.Common.DataRecord FeCL2(
name="FeCL2",
MM=0.126751,
Hf=-1112423.570622717,
H0=112640.8312360455,
Tlimit=1000,
alow={23011.21607,-585.804406,9.322903480000001,-0.003006298824,
2.590788666e-006,-1.080178662e-009,2.341239608e-013},
blow={-16210.41276,-18.16752393},
ahigh={164412.3697,692.800269,4.63827014,0.002754339782,-8.624218250000001e-007,
1.170827576e-010,-5.93806195e-015},
bhigh={-22197.21855,11.16897701},
R_s=R_NASA_2002/FeCL2.MM);
constant IdealGases.Common.DataRecord FeCL3(
name="FeCL3",
MM=0.162204,
Hf=-6529458.509038001,
H0=112291.1457177382,
Tlimit=1000,
alow={4284.772099999999,-574.170537,12.20667256,-0.00468043412,
5.609500470000001e-006,-3.5495995e-009,9.198543490000001e-013},
blow={-127568.8456,-28.87584081},
ahigh={-59157.40590000001,-10.33382228,10.00849967,-3.65765187e-006,
8.545873639999999e-010,-1.023070527e-013,4.90406364e-018},
bhigh={-130501.205,-15.98494171},
R_s=R_NASA_2002/FeCL3.MM);
constant IdealGases.Common.DataRecord FeO(
name="FeO",
MM=0.07184439999999999,
Hf=3494218.060141083,
H0=123002.363440992,
Tlimit=1000,
alow={15692.82213,-64.6018888,2.45892547,0.00701604736,-1.021405947e-005,
7.179297870000001e-009,-1.978966365e-012},
blow={29645.72665,13.26115545},
ahigh={-119597.148,-362.486478,5.51888075,-0.0009978856889999999,
4.37691383e-007,-6.79062946e-011,3.63929268e-015},
bhigh={30379.85806,-3.63365542},
R_s=R_NASA_2002/FeO.MM);
constant IdealGases.Common.DataRecord Fe_OH_2(
name="Fe_OH_2",
MM=0.08985968,
Hf=-3678357.189787456,
H0=158129.4413690323,
Tlimit=1000,
alow={444302.72,-6795.14089,38.9472621,-0.0597300568,7.046165430000001e-005,
-4.087859510000001e-008,9.368766340000001e-012},
blow={-9051.42086,-193.1304058},
ahigh={1612519.19,-6533.24199,18.42922816,-0.002073249635,4.26587436e-007,-4.56406313e-011,
1.990105746e-015},
bhigh={-2992.568633,-84.45940589999999},
R_s=R_NASA_2002/Fe_OH_2.MM);
constant IdealGases.Common.DataRecord Fe2CL4(
name="Fe2CL4",
MM=0.253502,
Hf=-1701644.957436233,
H0=117747.3984426158,
Tlimit=1000,
alow={1501.308814,-661.709651,18.26924882,-0.00418149466,
4.196535049999999e-006,-2.188670747e-009,5.395194700000001e-013},
blow={-53400.5758,-49.3564068},
ahigh={140245.0973,693.606441,13.1380041,0.00275433307,-8.623996010000001e-007,
1.170782491e-010,-5.93777808e-015},
bhigh={-59741.72730000001,-17.52491511},
R_s=R_NASA_2002/Fe2CL4.MM);
constant IdealGases.Common.DataRecord Fe2CL6(
name="Fe2CL6",
MM=0.324408,
Hf=-2017143.843555029,
H0=124682.0485314789,
Tlimit=1000,
alow={-10345.44447,-823.48766,25.20090594,-0.00684579679,8.25582075e-006,-5.24896566e-009,
1.365242237e-012},
blow={-81318.4719,-80.10768938},
ahigh={-99991.17999999999,-14.57716085,22.0120846,-5.22948113e-006,
1.226831608e-009,-1.473195806e-013,7.07827233e-018},
bhigh={-85514.9619,-61.43757198},
R_s=R_NASA_2002/Fe2CL6.MM);
constant IdealGases.Common.DataRecord Ga(
name="Ga",
MM=0.06972299999999999,
Hf=3901151.700299758,
H0=93959.16698937224,
Tlimit=1000,
alow={238794.789,-3121.634631,16.30171272,-0.02347922342,1.932327565e-005,-7.31631187e-009,
8.857387735e-013},
blow={47327.1738,-75.47172759999999},
ahigh={-55441.8652,880.8624419999999,1.760717716,0.000299325946,-5.61082731e-008,
2.682832239e-012,3.132134914e-016},
bhigh={26843.51822,12.52212023},
R_s=R_NASA_2002/Ga.MM);
constant IdealGases.Common.DataRecord Gaplus(
name="Gaplus",
MM=0.0697224514,
Hf=12287124.31645799,
H0=88887.12137278639,
Tlimit=1000,
alow={0.000409834494,-4.34358162e-006,2.500000019,-4.389036810000001e-011,
5.5639692e-014,-3.63822826e-017,9.607881994999999e-021},
blow={102289.9726,5.21509046},
ahigh={35666.0714,-110.8845546,2.635517951,-8.33897352e-005,
2.734243614e-008,-4.55567374e-012,3.035050101e-016},
bhigh={102989.743,4.25707541},
R_s=R_NASA_2002/Gaplus.MM);
constant IdealGases.Common.DataRecord GaBr(
name="GaBr",
MM=0.149627,
Hf=-120084.4767321406,
H0=66379.18958476746,
Tlimit=1000,
alow={-2185.275415,-76.72232969999999,4.77080567,-0.000449788106,
5.5798536e-007,-3.065156457e-010,7.042946040000001e-014},
blow={-3138.004818,2.948144294},
ahigh={335980.503,-840.683668,5.14508473,-3.265526e-005,-7.67102275e-008,
3.63512382e-011,-3.35817783e-015},
bhigh={2035.179445,-0.427789408},
R_s=R_NASA_2002/GaBr.MM);
constant IdealGases.Common.DataRecord GaBr2(
name="GaBr2",
MM=0.229531,
Hf=-649938.1434316061,
H0=61102.63101716108,
Tlimit=1000,
alow={7081.68162,-370.57661,8.418425360000001,-0.003001930915,
3.59547767e-006,-2.276883735e-009,5.91322177e-013},
blow={-18211.16655,-9.512572049999999},
ahigh={-330229.436,476.672265,7.1047254,-0.0005522771210000001,
3.159876015e-007,-5.51363715e-011,3.17329323e-015},
bhigh={-23656.8362,-1.162714892},
R_s=R_NASA_2002/GaBr2.MM);
constant IdealGases.Common.DataRecord GaBr3(
name="GaBr3",
MM=0.309435,
Hf=-946766.4065151,
H0=61522.89495370594,
Tlimit=1000,
alow={6363.80734,-514.204045,11.96065138,-0.00413463765,
4.933978330000001e-006,-3.111868526e-009,8.04363148e-013},
blow={-35704.155,-25.56896053},
ahigh={-51030.6375,-9.39520969,10.00768765,-3.2959543e-006,
7.679838140000001e-010,-9.175147259999999e-014,4.39118694e-018},
bhigh={-38334.0215,-14.10315914},
R_s=R_NASA_2002/GaBr3.MM);
constant IdealGases.Common.DataRecord GaCL(
name="GaCL",
MM=0.105176,
Hf=-661951.7760705864,
H0=91362.24994295275,
Tlimit=1000,
alow={6417.143,-225.7949147,5.31167369,-0.001562280975,1.836579731e-006,-1.100421873e-009,
2.725812445e-013},
blow={-8593.892329999999,-1.695911735},
ahigh={-486484.224,1452.870183,2.719542959,0.001144285628,-3.43145286e-007,
5.47044048e-011,-3.019622103e-015},
bhigh={-18950.84035,15.70926145},
R_s=R_NASA_2002/GaCL.MM);
constant IdealGases.Common.DataRecord GaCL2(
name="GaCL2",
MM=0.140629,
Hf=-1571360.878623897,
H0=96092.49159135029,
Tlimit=1000,
alow={22254.81851,-604.621844,9.220388910000001,-0.00455440079,
5.32485518e-006,-3.30860557e-009,8.462235559999999e-013},
blow={-25645.50386,-16.85409262},
ahigh={-344540.53,471.443716,7.10877548,-0.000553943356,3.16363824e-007,-5.51802393e-011,
3.17535303e-015},
bhigh={-32309.3616,-3.74484074},
R_s=R_NASA_2002/GaCL2.MM);
constant IdealGases.Common.DataRecord GaCL3(
name="GaCL3",
MM=0.176082,
Hf=-2456950.47193921,
H0=98677.01979759432,
Tlimit=1000,
alow={47849.484,-1162.678125,14.08954213,-0.008106134290000001,
9.21943016e-006,-5.59971055e-009,1.4048526e-012},
blow={-49159.0973,-42.82179383},
ahigh={-94669.1731,-25.61468254,10.02010048,-8.35407307e-006,
1.901439055e-009,-2.231168493e-013,1.052949609e-017},
bhigh={-55182.0143,-18.64958383},
R_s=R_NASA_2002/GaCL3.MM);
constant IdealGases.Common.DataRecord GaF(
name="GaF",
MM=0.08872140319999999,
Hf=-2621785.528748265,
H0=102355.3356063241,
Tlimit=1000,
alow={36703.9801,-533.6572219999999,5.75929192,-0.001506128492,
9.509038450000001e-007,-1.83094113e-010,-3.135959193e-014},
blow={-26470.7569,-6.58932188},
ahigh={-298339.2279,722.5157870000001,3.63955743,0.000554673676,-1.46490145e-007,
2.177385396e-011,-1.031058874e-015},
bhigh={-34085.2871,7.55396},
R_s=R_NASA_2002/GaF.MM);
constant IdealGases.Common.DataRecord GaF2(
name="GaF2",
MM=0.1077198064,
Hf=-4796819.250503221,
H0=112473.8282114105,
Tlimit=1000,
alow={68425.3953,-889.761774,7.70745549,0.00207215089,-5.28998193e-006,
4.56412742e-009,-1.406942753e-012},
blow={-59198.5615,-13.41142116},
ahigh={410025.1359999999,-1723.259472,8.95132922,-0.001059205682,
2.745755154e-007,-2.907681311e-011,1.084834142e-015},
bhigh={-53765.716,-21.13835528},
R_s=R_NASA_2002/GaF2.MM);
constant IdealGases.Common.DataRecord GaF3(
name="GaF3",
MM=0.1267182096,
Hf=-7271859.237190485,
H0=120132.8289600455,
Tlimit=1000,
alow={95932.66699999999,-1355.507494,10.97760197,0.00346157172,-8.469551949999999e-006,
7.22246893e-009,-2.213328653e-012},
blow={-106147.9087,-32.1265185},
ahigh={-209696.176,-143.1211274,10.10568378,-4.18493682e-005,
9.16475945e-009,-1.042661957e-012,4.79916345e-017},
bhigh={-113667.8134,-23.9253933},
R_s=R_NASA_2002/GaF3.MM);
constant IdealGases.Common.DataRecord GaH(
name="GaH",
MM=0.07073094000000001,
Hf=3030122.376431021,
H0=122621.0764341602,
Tlimit=1000,
alow={-43918.762,625.445712,0.327686289,0.0064966415,-3.80297001e-006,
2.852103704e-010,3.62680913e-013},
blow={21712.60108,22.24032244},
ahigh={3257993.99,-11090.99502,18.01126796,-0.008167719110000001,
2.601293566e-006,-3.81345935e-010,2.028049649e-014},
bhigh={93697.78240000001,-98.2090022},
R_s=R_NASA_2002/GaH.MM);
constant IdealGases.Common.DataRecord GaI(
name="GaI",
MM=0.19662747,
Hf=228203.7296212986,
H0=51412.56203927151,
Tlimit=1000,
alow={-3661.85503,-32.0692418,4.59996192,-8.899475459999999e-005,
1.162792633e-007,-1.812351457e-011,-7.584619639999999e-015},
blow={4198.64937,4.92896465},
ahigh={1498356.654,-4551.96724,9.803005349999999,-0.002943735609,
8.658040509999999e-007,-1.106638204e-010,5.00783686e-015},
bhigh={32918.1191,-32.2735977},
R_s=R_NASA_2002/GaI.MM);
constant IdealGases.Common.DataRecord GaI2(
name="GaI2",
MM=0.32353194,
Hf=-89496.46517125944,
H0=44727.99501650439,
Tlimit=1000,
alow={-983.13959,-215.2621259,7.84431876,-0.001819797849,2.210706958e-006,-1.416110855e-009,
3.71376293e-013},
blow={-4534.090230000001,-4.25051681},
ahigh={-320287.975,479.650233,7.10233396,-0.000551265783,3.157543452e-007,-5.51087194e-011,
3.17197773e-015},
bhigh={-9180.919610000001,0.727520488},
R_s=R_NASA_2002/GaI2.MM);
constant IdealGases.Common.DataRecord GaI3(
name="GaI3",
MM=0.45043641,
Hf=-257255.4914022159,
H0=44673.91967714155,
Tlimit=1000,
alow={-5663.47265,-242.5937116,10.95451119,-0.002059175489,2.499117622e-006,
-1.596502506e-009,4.16764406e-013},
blow={-15767.22832,-16.46129942},
ahigh={-31640.4013,-4.20866283,10.00352001,-1.53265018e-006,3.61153154e-010,
-4.35097887e-014,2.095704875e-018},
bhigh={-17000.58453,-10.90291552},
R_s=R_NASA_2002/GaI3.MM);
constant IdealGases.Common.DataRecord GaO(
name="GaO",
MM=0.08572239999999999,
Hf=1712779.938499156,
H0=104116.3919815591,
Tlimit=1000,
alow={73255.4391,-980.4269509999999,7.84412276,-0.00717107285,
7.87278051e-006,-2.401464112e-009,-2.594919458e-013},
blow={21405.81724,-17.99742951},
ahigh={2937313.804,-11183.14112,18.59366773,-0.00685475345,1.665399251e-006,
-1.887560878e-010,7.97268692e-015},
bhigh={85302.48080000001,-99.04040480000001},
R_s=R_NASA_2002/GaO.MM);
constant IdealGases.Common.DataRecord GaOH(
name="GaOH",
MM=0.08673034,
Hf=-1656058.249051024,
H0=122028.9001518961,
Tlimit=1000,
alow={69631.0187,-1247.828695,10.22001611,-0.00592253439,4.6433874e-006,-1.215936978e-009,
-2.945243614e-014},
blow={-12753.97794,-32.17063},
ahigh={842905.101,-2372.324595,8.009071090000001,8.77723071e-005,-5.94306891e-008,
9.841943439999999e-012,-5.53155279e-016},
bhigh={-3751.78825,-21.71053719},
R_s=R_NASA_2002/GaOH.MM);
constant IdealGases.Common.DataRecord Ga2Br2(
name="Ga2Br2",
MM=0.299254,
Hf=-457683.7469173344,
H0=69483.80974022068,
Tlimit=1000,
alow={-11171.83241,-74.7147162,10.30246084,-0.0006657929850000001,
8.20051585e-007,-5.29702152e-010,1.394553192e-013},
blow={-19132.97856,-13.17110316},
ahigh={-18853.73131,-1.263621802,10.00108034,-4.774975660000001e-007,
1.137227648e-010,-1.380820486e-014,6.69024243e-019},
bhigh={-19510.53843,-11.41667594},
R_s=R_NASA_2002/Ga2Br2.MM);
constant IdealGases.Common.DataRecord Ga2Br4(
name="Ga2Br4",
MM=0.459062,
Hf=-905803.647437601,
H0=66639.72622434443,
Tlimit=1000,
alow={-13155.45939,-413.655302,17.62849229,-0.00351465216,4.26693773e-006,-2.726515882e-009,
7.11892449e-013},
blow={-52831.0181,-44.2752069},
ahigh={-57421.6721,-7.16013737,16.00598947,-2.60818227e-006,6.14645595e-010,
-7.40543865e-014,3.56712663e-018},
bhigh={-54933.8976,-34.79271660000001},
R_s=R_NASA_2002/Ga2Br4.MM);
constant IdealGases.Common.DataRecord Ga2Br6(
name="Ga2Br6",
MM=0.61887,
Hf=-1088578.75159565,
H0=66494.20072066832,
Tlimit=1000,
alow={-6725.11689,-806.752655,25.11671424,-0.00663651457,7.9775557e-006,-5.05968521e-009,
1.313546388e-012},
blow={-83706.352,-75.8527872},
ahigh={-95261.73,-14.4468188,22.01192546,-5.14500674e-006,1.204348449e-009,
-1.443806473e-013,6.928270740000001e-018},
bhigh={-87822.23300000001,-57.6589512},
R_s=R_NASA_2002/Ga2Br6.MM);
constant IdealGases.Common.DataRecord Ga2CL2(
name="Ga2CL2",
MM=0.210352,
Hf=-1050490.064273218,
H0=92646.73024264089,
Tlimit=1000,
alow={-9246.1337,-259.2159934,11.02847129,-0.002231983927,2.720723456e-006,
-1.743798624e-009,4.56366604e-013},
blow={-28340.59821,-20.67773272},
ahigh={-36689.542,-4.43458068,10.00373051,-1.630793333e-006,3.85375332e-010,
-4.65252773e-014,2.244498791e-018},
bhigh={-29656.33085,-14.69535817},
R_s=R_NASA_2002/Ga2CL2.MM);
constant IdealGases.Common.DataRecord Ga2CL4(
name="Ga2CL4",
MM=0.281258,
Hf=-2141545.584481152,
H0=97118.63129226546,
Tlimit=1000,
alow={16373.43702,-1140.637354,20.30139827,-0.0089977462,1.067254867e-005,-6.700290619999999e-009,
1.725749144e-012},
blow={-71623.85010000001,-66.663619},
ahigh={-112711.0409,-21.38517542,16.01738077,-7.41556464e-006,
1.721694751e-009,-2.051361953e-013,9.797311499999999e-018},
bhigh={-77468.53380000001,-41.4728087},
R_s=R_NASA_2002/Ga2CL4.MM);
constant IdealGases.Common.DataRecord Ga2CL6(
name="Ga2CL6",
MM=0.352164,
Hf=-2732998.069081451,
H0=103246.7799093604,
Tlimit=1000,
alow={60894.69839999999,-2104.456302,29.59653878,-0.01537809796,
1.779096808e-005,-1.095619429e-008,2.779706493e-012},
blow={-111840.0535,-112.1945814},
ahigh={-189844.5426,-44.1365524,22.03505047,-1.470071128e-005,
3.36951281e-009,-3.9754628e-013,1.884231868e-017},
bhigh={-122696.9998,-67.45332883},
R_s=R_NASA_2002/Ga2CL6.MM);
constant IdealGases.Common.DataRecord Ga2F2(
name="Ga2F2",
MM=0.1774428064,
Hf=-3416488.705850406,
H0=96638.77813871186,
Tlimit=1000,
alow={29781.3065,-1013.97552,13.74933053,-0.00772805096,9.06400733e-006,-5.64119322e-009,
1.443106716e-012},
blow={-70860.8337,-41.09833949999999},
ahigh={-87732.34929999999,-19.8377587,10.0159403,-6.744402830000001e-006,
1.556129063e-009,-1.845316975e-013,8.780884020000001e-018},
bhigh={-76073.6863,-19.08325521},
R_s=R_NASA_2002/Ga2F2.MM);
constant IdealGases.Common.DataRecord Ga2F4(
name="Ga2F4",
MM=0.2154396128,
Hf=-6150229.016750257,
H0=105148.9171632971,
Tlimit=1000,
alow={142207.9998,-2798.829941,23.95904235,-0.01293904774,1.223101326e-005,
-6.25120982e-009,1.334919195e-012},
blow={-149601.371,-97.34153640000001},
ahigh={-270436.609,-104.9957196,16.07903965,-3.17889592e-005,
7.04958272e-009,-8.10237952e-013,3.76054053e-017},
bhigh={-164416.9589,-48.9659173},
R_s=R_NASA_2002/Ga2F4.MM);
constant IdealGases.Common.DataRecord Ga2F6(
name="Ga2F6",
MM=0.2534364192,
Hf=-7961065.143552976,
H0=118891.6576990526,
Tlimit=1000,
alow={240904.5572,-4142.3798,31.9577372,-0.0129791429,8.95928219e-006,-2.733621068e-009,
1.554030994e-013},
blow={-227278.524,-139.8403732},
ahigh={-436866.48,-212.8208368,22.15886373,-6.34628791e-005,
1.399738556e-008,-1.601732039e-012,7.407584420000001e-017},
bhigh={-249429.8707,-77.87635830000001},
R_s=R_NASA_2002/Ga2F6.MM);
constant IdealGases.Common.DataRecord Ga2I2(
name="Ga2I2",
MM=0.39325494,
Hf=34382.14151867996,
H0=54666.69280746988,
Tlimit=1000,
alow={-8960.25267,-31.7205721,10.12930491,-0.0002860191165,3.53533301e-007,
-2.289632389e-010,6.04008536e-014},
blow={-1233.174068,-9.80196838},
ahigh={-12190.56501,-0.528755447,10.00045392,-2.011599344e-007,
4.79946781e-011,-5.83478108e-015,2.829565069e-019},
bhigh={-1393.258606,-9.052614910000001},
R_s=R_NASA_2002/Ga2I2.MM);
constant IdealGases.Common.DataRecord Ga2I4(
name="Ga2I4",
MM=0.64706388,
Hf=-246139.5109861487,
H0=50356.40839664856,
Tlimit=1000,
alow={-17694.95991,-135.4871509,16.54625333,-0.001199014713,
1.473754848e-006,-9.504796569999999e-010,2.499380837e-013},
blow={-23334.05795,-33.2571289},
ahigh={-31712.9976,-2.287068836,16.00194812,-8.58896438e-007,
2.041966602e-010,-2.476145769e-014,1.198551944e-018},
bhigh={-24019.40505,-30.08672521},
R_s=R_NASA_2002/Ga2I4.MM);
constant IdealGases.Common.DataRecord Ga2I6(
name="Ga2I6",
MM=0.90087282,
Hf=-352208.0097832234,
H0=48367.95719955232,
Tlimit=1000,
alow={-21108.91458,-369.540416,23.46811836,-0.00318917821,3.89033904e-006,-2.494830378e-009,
6.53200728e-013},
blow={-43011.8809,-60.148115},
ahigh={-60156.9815,-6.32920923,22.0053304,-2.332008629e-006,5.51386848e-010,
-6.659445350000001e-014,3.21367043e-018},
bhigh={-44886.9938,-51.6100875},
R_s=R_NASA_2002/Ga2I6.MM);
constant IdealGases.Common.DataRecord Ga2O(
name="Ga2O",
MM=0.1554454,
Hf=-639822.4521278854,
H0=78243.51830288963,
Tlimit=1000,
alow={56971.9718,-807.4085990000001,7.73306154,0.001478450874,-4.097743430000001e-006,
3.58115892e-009,-1.107073202e-012},
blow={-9512.216820000002,-12.56149299},
ahigh={-119387.4986,-87.19341610000001,7.0646782,-2.571524542e-005,
5.65110849e-009,-6.44819054e-013,2.975374645e-017},
bhigh={-13936.94796,-6.9428013},
R_s=R_NASA_2002/Ga2O.MM);
constant IdealGases.Common.DataRecord Ge(
name="Ge",
MM=0.07264,
Hf=5063325.991189428,
H0=101852.7533039648,
Tlimit=1000,
alow={-20592.15242,-143.2022103,4.50600233,0.00154718784,-8.518296550000001e-006,
8.24382446e-009,-2.566167305e-012},
blow={43630.7086,-6.224648889},
ahigh={-856541.384,3917.95866,-1.809888212,0.002276482224,-5.36562755e-007,
5.984958090000001e-011,-2.541700646e-015},
bhigh={19565.18798,38.41408752},
R_s=R_NASA_2002/Ge.MM);
constant IdealGases.Common.DataRecord Geplus(
name="Geplus",
MM=0.0726394514,
Hf=15624903.03994779,
H0=85432.70743919742,
Tlimit=1000,
alow={-345366.643,4008.44971,-15.22395737,0.0362603002,-3.35136726e-005,
1.431059219e-008,-2.236976459e-012},
blow={115705.8042,109.0158182},
ahigh={-2244860.57,5165.53114,-0.386751651,0.000852873094,-1.386040003e-007,
1.155945775e-011,-3.784413134e-016},
bhigh={100682.3985,29.65845411},
R_s=R_NASA_2002/Geplus.MM);
constant IdealGases.Common.DataRecord Geminus(
name="Geminus",
MM=0.07264054860000001,
Hf=3378313.417638478,
H0=96102.52310236543,
Tlimit=1000,
alow={2989.142308,86.5741723,2.191868507,0.0005900795269999999,-6.37580058e-007,
3.66113215e-010,-8.689778450000001e-014},
blow={28356.9519,9.417623637},
ahigh={13520.40246,-0.504851878,2.500140247,-3.65294416e-009,-6.7167222e-012,
1.378119925e-015,-8.475212940000001e-020},
bhigh={28817.39757,7.577953867},
R_s=R_NASA_2002/Geminus.MM);
constant IdealGases.Common.DataRecord GeBr(
name="GeBr",
MM=0.152544,
Hf=900973.6141703377,
H0=64664.09036081393,
Tlimit=1000,
alow={-56807.7463,917.336126,-2.224809366,0.02171239242,-3.035490868e-005,
2.011776305e-008,-5.20291504e-012},
blow={11041.92901,41.07865983},
ahigh={225675.0476,-731.071546,6.26328381,-0.001198085447,4.00037777e-007,-5.42993788e-011,
2.510481953e-015},
bhigh={19428.63606,-6.106507844},
R_s=R_NASA_2002/GeBr.MM);
constant IdealGases.Common.DataRecord GeBr2(
name="GeBr2",
MM=0.232448,
Hf=-262264.6656456497,
H0=61060.80929928413,
Tlimit=1000,
alow={-1649.285325,-229.6262116,7.90014468,-0.001936685504,2.345776175e-006,
-1.496279368e-009,3.9014535e-013},
blow={-8316.62421,-6.918156136},
ahigh={-26366.55245,-3.99050902,7.00332744,-1.445749787e-006,
3.40159136e-010,-4.09345703e-014,1.969987842e-018},
bhigh={-9484.999249999999,-1.673617098},
R_s=R_NASA_2002/GeBr2.MM);
constant IdealGases.Common.DataRecord GeBr3(
name="GeBr3",
MM=0.312352,
Hf=-381080.665403135,
H0=59386.49984632723,
Tlimit=1000,
alow={2725.568677,-518.621326,11.99957754,-0.00425102453,5.10362972e-006,-3.23370625e-009,
8.38835886e-013},
blow={-14779.88251,-25.34555678},
ahigh={-54339.267,-9.28032795,10.00765019,-3.29732215e-006,7.71292926e-010,
-9.24157185e-014,4.43287623e-018},
bhigh={-17426.97092,-13.66946296},
R_s=R_NASA_2002/GeBr3.MM);
constant IdealGases.Common.DataRecord GeBr4(
name="GeBr4",
MM=0.392256,
Hf=-741862.4571708272,
H0=61090.76215532714,
Tlimit=1000,
alow={5431.940390000001,-677.7748800000001,15.60015305,-0.00550778888,
6.59476429e-006,-4.17014614e-009,1.080116643e-012},
blow={-35576.064,-42.09122927},
ahigh={-69777.5791,-11.79873115,13.00953955,-4.02493875e-006,
9.203567209999999e-010,-1.076853369e-013,5.0409548e-018},
bhigh={-39041.4816,-26.8943607},
R_s=R_NASA_2002/GeBr4.MM);
constant IdealGases.Common.DataRecord GeCL(
name="GeCL",
MM=0.108093,
Hf=638615.960330456,
H0=88804.2241403236,
Tlimit=1000,
alow={10697.24739,-22.41238266,1.98737107,0.01368270905,-2.358294414e-005,
1.78675602e-008,-5.10250325e-012},
blow={7440.68339,15.05837189},
ahigh={-378419.325,1429.309204,3.19485464,0.0008119939119999999,-2.652459954e-007,
5.15195788e-011,-3.53421457e-015},
bhigh={-2087.046335,13.8503382},
R_s=R_NASA_2002/GeCL.MM);
constant IdealGases.Common.DataRecord GeCL2(
name="GeCL2",
MM=0.143546,
Hf=-1191255.764702604,
H0=92491.54278071142,
Tlimit=1000,
alow={18385.36673,-582.720534,9.161404660000001,-0.00446478603,
5.24487355e-006,-3.26806721e-009,8.36757542e-013},
blow={-19757.98598,-17.3432163},
ahigh={-48901.28920000001,-11.26210418,7.00906353,-3.83918073e-006,
8.86563357e-010,-1.05200054e-013,5.00842222e-018},
bhigh={-22752.54424,-4.656641298},
R_s=R_NASA_2002/GeCL2.MM);
constant IdealGases.Common.DataRecord GeCL3(
name="GeCL3",
MM=0.178999,
Hf=-1491352.404203376,
H0=98097.96144112539,
Tlimit=1000,
alow={19358.59579,-834.202,13.1270253,-0.006511390020000001,7.69627748e-006,
-4.81854173e-009,1.238399959e-012},
blow={-30972.18753,-35.52547183999999},
ahigh={-75744.9982,-15.7921342,10.01278835,-5.44173831e-006,
1.260936724e-009,-1.500137106e-013,7.15640081e-018},
bhigh={-35251.3172,-17.19719944},
R_s=R_NASA_2002/GeCL3.MM);
constant IdealGases.Common.DataRecord GeCL4(
name="GeCL4",
MM=0.214452,
Hf=-2331524.070654505,
H0=98561.09991979557,
Tlimit=1000,
alow={65028.7041,-1652.48276,18.81327,-0.0115242681,1.31080998e-005,-7.96195611e-009,
1.99750504e-012},
blow={-55700.5239,-67.54438135},
ahigh={-137626.121,-36.037695,13.0281667,-1.16495696e-005,2.63619338e-009,-3.07292672e-013,
1.43980875e-017},
bhigh={-64262.8178,-33.18158305},
R_s=R_NASA_2002/GeCL4.MM);
constant IdealGases.Common.DataRecord GeF(
name="GeF",
MM=0.0916384032,
Hf=-770342.8642894556,
H0=99784.69376035572,
Tlimit=1000,
alow={50170.9782,-439.555252,2.990864513,0.01252766738,-2.337593226e-005,
1.841631179e-008,-5.398492260000001e-012},
blow={-7093.5164,7.064248931},
ahigh={-515048.058,1659.711777,2.999610299,0.0008198511679999999,-2.271982948e-007,
3.62418386e-011,-2.133840473e-015},
bhigh={-20515.29487,13.7315423},
R_s=R_NASA_2002/GeF.MM);
constant IdealGases.Common.DataRecord GeF2(
name="GeF2",
MM=0.1106368064,
Hf=-5188146.862489335,
H0=106542.1660616552,
Tlimit=1000,
alow={75430.9708,-1108.456469,9.07889827,-0.001445630636,-6.57532232e-007,
1.475344103e-009,-5.81122027e-013},
blow={-65106.8555,-22.00457134},
ahigh={-127532.7716,-71.6259135,7.05300237,-2.101910441e-005,4.6078937e-009,
-5.24639467e-013,2.416218951e-017},
bhigh={-71126.3763,-8.483841439000001},
R_s=R_NASA_2002/GeF2.MM);
constant IdealGases.Common.DataRecord GeF3(
name="GeF3",
MM=0.1296352096,
Hf=-6220014.111042869,
H0=113226.8543807716,
Tlimit=1000,
alow={111412.1569,-1776.90803,13.52166477,-0.002983622949,-3.61274975e-008,
1.621528436e-009,-7.19901178e-013},
blow={-90382.62960000002,-45.68760023},
ahigh={-206958.0129,-111.0233803,10.08234122,-3.27167626e-005,
7.1838967e-009,-8.19038812e-013,3.77632244e-017},
bhigh={-99997.4909,-23.0346594},
R_s=R_NASA_2002/GeF3.MM);
constant IdealGases.Common.DataRecord GeF4(
name="GeF4",
MM=0.1486336128,
Hf=-8007273.574123873,
H0=116346.6639492194,
Tlimit=1000,
alow={111981.8968,-1636.85963,12.31371005,0.01025446325,-1.893783072e-005,
1.476849261e-008,-4.32517411e-012},
blow={-137426.5128,-41.04202391000001},
ahigh={-325303.268,-253.8279448,13.18792173,-7.46005855e-005,
1.637384721e-008,-1.866482733e-012,8.605530500000001e-017},
bhigh={-146617.6526,-41.22237561},
R_s=R_NASA_2002/GeF4.MM);
constant IdealGases.Common.DataRecord GeH4(
name="GeH4",
MM=0.07667176000000001,
Hf=1184177.85114102,
H0=0,
Tlimit=1000,
alow={-256839.8191,-41.3281145,7.75511628,0.002129640783,
7.255053610000001e-007,-5.09631401e-010,1.431608261e-013},
blow={7881.53804,-20.30107999},
ahigh={-3809805.88,10931.67093,-5.14967541,0.009485931369999999,-1.649459859e-006,
1.419674126e-010,-5.00463975e-015},
bhigh={-61585.1852,71.68961272999999},
R_s=R_NASA_2002/GeH4.MM);
constant IdealGases.Common.DataRecord GeI(
name="GeI",
MM=0.19954447,
Hf=1057253.653784542,
H0=50139.80091755988,
Tlimit=1000,
alow={-74383.08219999999,1033.759595,-1.520491112,0.01555125152,-1.683415215e-005,
8.383557809999999e-009,-1.550875391e-012},
blow={19129.20413,39.59395473},
ahigh={-213314.8437,-295.3079008,6.87660736,-0.002102579132,8.59629938e-007,
-1.44769276e-010,8.401042789999999e-015},
bhigh={24523.26136,-8.549783749},
R_s=R_NASA_2002/GeI.MM);
constant IdealGases.Common.DataRecord GeO(
name="GeO",
MM=0.08863939999999999,
Hf=-425254.5369215045,
H0=99076.77624171645,
Tlimit=1000,
alow={-6781.22563,279.1946972,0.619895286,0.01111378013,-1.501027092e-005,
1.006783003e-008,-2.687101932e-012},
blow={-6711.84743,21.56441027},
ahigh={-1044508.485,2734.866048,1.298071298,0.001832638634,-5.06098635e-007,
6.37495802e-011,-2.172371872e-015},
bhigh={-23621.04658,23.50906051},
R_s=R_NASA_2002/GeO.MM);
constant IdealGases.Common.DataRecord GeO2(
name="GeO2",
MM=0.1046388,
Hf=-1014652.289590477,
H0=107589.1734232426,
Tlimit=1000,
alow={-3824.17383,156.3451633,1.694198285,0.01756205059,-2.418270032e-005,
1.632388154e-008,-4.36895786e-012},
blow={-14775.3488,15.56926515},
ahigh={-172734.7526,-296.1154443,7.72072625,-8.82493339e-005,
1.949874702e-008,-2.235834829e-012,1.036128507e-016},
bhigh={-13879.83288,-16.69845695},
R_s=R_NASA_2002/GeO2.MM);
constant IdealGases.Common.DataRecord GeS(
name="GeS",
MM=0.104705,
Hf=883674.2275918056,
H0=87303.47165846905,
Tlimit=1000,
alow={36610.1843,-565.9653500000001,6.15293641,-0.002746908039,
2.733435196e-006,-1.460209187e-009,3.27870947e-013},
blow={12741.75754,-7.70565946},
ahigh={-2351367.441,7211.58186,-4.36252631,0.00545173775,-1.721002774e-006,
2.632908084e-010,-1.39437404e-014},
bhigh={-35833.1725,65.05566890999999},
R_s=R_NASA_2002/GeS.MM);
constant IdealGases.Common.DataRecord GeS2(
name="GeS2",
MM=0.13677,
Hf=868741.9097755356,
H0=95546.03348687578,
Tlimit=1000,
alow={55436.836,-1024.826697,10.57594552,-0.00528788391,5.29580308e-006,-2.87252953e-009,
6.51902755e-013},
blow={17355.79668,-29.91719536},
ahigh={-89709.8036,-33.64377,7.52543372,-1.026368137e-005,2.282230718e-009,
-2.62874877e-013,1.222218614e-017},
bhigh={11952.32103,-11.35170616},
R_s=R_NASA_2002/GeS2.MM);
constant IdealGases.Common.DataRecord Ge2(
name="Ge2",
MM=0.14528,
Hf=3245449.676486785,
H0=73624.23595814979,
Tlimit=1000,
alow={216197.8929,-3079.621733,18.88047728,-0.02604825861,2.27915135e-005,-9.02835127e-009,
1.146806387e-012},
blow={70324.02549999999,-79.01095968},
ahigh={1969461.258,-5248.6871,10.58277303,-0.00333655151,1.052745838e-006,-1.484534793e-010,
7.475431760000001e-015},
bhigh={89256.65990000001,-37.50233948},
R_s=R_NASA_2002/Ge2.MM);
constant IdealGases.Common.DataRecord H(
name="H",
MM=0.00100794,
Hf=216281552.4733615,
H0=6148608.052066591,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={25473.70801,-0.446682853},
ahigh={60.78774250000001,-0.1819354417,2.500211817,-1.226512864e-007,
3.73287633e-011,-5.68774456e-015,3.410210197e-019},
bhigh={25474.86398,-0.448191777},
R_s=R_NASA_2002/H.MM);
constant IdealGases.Common.DataRecord Hplus(
name="Hplus",
MM=0.0010073914,
Hf=1524974233.450872,
H0=6151956.429248851,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={184021.4877,-1.140646644},
ahigh={0,0,2.5,0,0,0,0},
bhigh={184021.4877,-1.140646644},
R_s=R_NASA_2002/Hplus.MM);
constant IdealGases.Common.DataRecord Hminus(
name="Hminus",
MM=0.0010084886,
Hf=137861080.4326395,
H0=6145263.317800519,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={15976.15494,-1.139013868},
ahigh={0,0,2.5,0,0,0,0},
bhigh={15976.15494,-1.139013868},
R_s=R_NASA_2002/Hminus.MM);
constant IdealGases.Common.DataRecord HALO(
name="HALO",
MM=0.043988878,
Hf=41399.41918955059,
H0=225857.476974066,
Tlimit=1000,
alow={26686.71568,-466.321459,5.38380021,0.002902425002,-2.24367761e-007,-1.516294323e-009,
6.95173766e-013},
blow={1235.914473,-6.50883752},
ahigh={78474.67049999999,-1515.62885,8.572776230000001,-0.0004142611439999999,
8.9350817e-008,-1.007036446e-011,4.60801725e-016},
bhigh={6663.24189,-26.72948642},
R_s=R_NASA_2002/HALO.MM);
constant IdealGases.Common.DataRecord HALO2(
name="HALO2",
MM=0.059988278,
Hf=-5925716.870886008,
H0=199715.7511339132,
Tlimit=1000,
alow={3544.59891,115.9819104,0.863797069,0.02460875785,-3.42316012e-005,
2.373182987e-008,-6.46760883e-012},
blow={-44495.06140000001,20.12317065},
ahigh={698570.544,-2864.935042,10.86721494,-5.3683127e-005,-2.836877559e-008,
6.29164119e-012,-3.88903311e-016},
bhigh={-27643.92495,-37.7588634},
R_s=R_NASA_2002/HALO2.MM);
constant IdealGases.Common.DataRecord HBO(
name="HBO",
MM=0.02781834,
Hf=-7571307.454003366,
H0=329527.139290123,
Tlimit=1000,
alow={63609.7503,-800.1557590000001,6.21881613,-0.000780167998,
3.141286759e-006,-2.031853478e-009,3.73855289e-013},
blow={-22402.8291,-13.26952393},
ahigh={886186.0229999999,-3913.06805,9.8886448,-0.0008222269139999999,
1.621530554e-007,-1.703550237e-011,7.372740020000001e-016},
bhigh={-3161.852029,-40.3681272},
R_s=R_NASA_2002/HBO.MM);
constant IdealGases.Common.DataRecord HBOplus(
name="HBOplus",
MM=0.0278177914,
Hf=42247053.76861803,
H0=326935.6962681085,
Tlimit=1000,
alow={65244.7147,-704.733736,5.29427187,0.001308494598,2.088343622e-006,-2.564100339e-009,
8.198981249999999e-013},
blow={143929.3436,-6.81674923},
ahigh={18360.83606,-1212.975446,6.82290196,0.0009142272500000001,-2.665355457e-007,
3.29704981e-011,-1.530684082e-015},
bhigh={146361.7504,-16.99646159},
R_s=R_NASA_2002/HBOplus.MM);
constant IdealGases.Common.DataRecord HBO2(
name="HBO2",
MM=0.04381774,
Hf=-12785005.63926848,
H0=249170.8152907932,
Tlimit=1000,
alow={6225.08747,75.6615369,1.253406833,0.01748006535,-1.982688351e-005,
1.22965646e-008,-3.153609847e-012},
blow={-68785.8878,17.67793507},
ahigh={1049369.185,-4479.145479999999,11.97755861,-0.00047357434,
6.08020714e-008,-3.64156544e-012,6.15597317e-017},
bhigh={-42211.4947,-49.11366819999999},
R_s=R_NASA_2002/HBO2.MM);
constant IdealGases.Common.DataRecord HBS(
name="HBS",
MM=0.04388394,
Hf=1144108.755959469,
H0=211609.5090823659,
Tlimit=1000,
alow={56499.66209999999,-546.640995,3.63645839,0.009963657670000001,-1.395090386e-005,
1.032834167e-008,-3.047186722e-012},
blow={7919.86053,1.182455314},
ahigh={-202183.6183,-505.202662,6.41521828,0.001049432932,-3.68314669e-007,
5.34296831e-011,-2.154140451e-015},
bhigh={6485.47562,-13.31379864},
R_s=R_NASA_2002/HBS.MM);
constant IdealGases.Common.DataRecord HBSplus(
name="HBSplus",
MM=0.0438833914,
Hf=25737731.99762314,
H0=230975.5394155794,
Tlimit=1000,
alow={148950.9163,-1847.661736,11.4745802,-0.009476828369999999,
1.110746739e-005,-6.175558610000001e-009,1.336853512e-012},
blow={143782.2395,-41.13512498},
ahigh={661065.836,-2791.498527,9.131267640000001,-0.000506379529,
7.751213140000001e-008,-4.19113293e-012,2.687149095e-017},
bhigh={151073.4114,-30.81426166},
R_s=R_NASA_2002/HBSplus.MM);
constant IdealGases.Common.DataRecord HCN(
name="HCN",
MM=0.02702534,
Hf=4924358.398451231,
H0=341733.4620026983,
Tlimit=1000,
alow={90982.86930000001,-1238.657512,8.72130787,-0.00652824294,
8.87270083e-006,-4.808886669999999e-009,9.317898499999999e-013},
blow={20989.1545,-27.46678076},
ahigh={1236889.278,-4446.732410000001,9.73887485,-0.000585518264,
1.07279144e-007,-1.013313244e-011,3.34824798e-016},
bhigh={42215.1377,-40.05774072000001},
R_s=R_NASA_2002/HCN.MM);
constant IdealGases.Common.DataRecord HCO(
name="HCO",
MM=0.02901804,
Hf=1461085.931372346,
H0=344249.6460822303,
Tlimit=1000,
alow={-11898.51887,215.1536111,2.730224028,0.001806516108,4.98430057e-006,-5.81456792e-009,
1.869689894e-012},
blow={2905.75564,11.3677254},
ahigh={694960.6120000001,-3656.22338,9.604731170000001,-0.001117129278,
2.875328019e-007,-3.62624774e-011,1.808329595e-015},
bhigh={25437.0444,-35.8247372},
R_s=R_NASA_2002/HCO.MM);
constant IdealGases.Common.DataRecord HCOplus(
name="HCOplus",
MM=0.0290174914,
Hf=28707995.06810571,
H0=311742.7304553281,
Tlimit=1000,
alow={157344.2506,-1867.692159,10.99235423,-0.01211637888,1.659091514e-005,
-1.016592642e-008,2.391234771e-012},
blow={108493.028,-40.7826162},
ahigh={1219060.653,-4714.29489,10.21192493,-0.000885451707,1.667408026e-007,
-1.683285548e-011,7.04005178e-016},
bhigh={127798.9027,-43.5115846},
R_s=R_NASA_2002/HCOplus.MM);
constant IdealGases.Common.DataRecord HCCN(
name="HCCN",
MM=0.03903604,
Hf=15637616.62299762,
H0=303968.6146443133,
Tlimit=1000,
alow={2994.114377,-440.466068,6.94003641,0.00384630496,-1.264728529e-006,-3.63923513e-010,
2.748929104e-013},
blow={73708.7864,-13.15302591},
ahigh={939562.031,-4091.06775,12.72233302,-0.000687440531,1.231169968e-007,
-1.186956238e-011,4.76061035e-016},
bhigh={95851.6482,-52.48695794},
R_s=R_NASA_2002/HCCN.MM);
constant IdealGases.Common.DataRecord HCCO(
name="HCCO",
MM=0.04102874,
Hf=4303522.360179718,
H0=284312.7524754599,
Tlimit=1000,
alow={69596.12700000001,-1164.594402,9.456616260000001,-0.002331240632,
5.1618736e-006,-3.52616997e-009,8.59914323e-013},
blow={25350.03992,-27.26355351},
ahigh={1093922.002,-4498.228209999999,12.46446433,-0.00063433174,
1.108549019e-007,-1.125488678e-011,5.68915194e-016},
bhigh={46522.803,-50.9907043},
R_s=R_NASA_2002/HCCO.MM);
constant IdealGases.Common.DataRecord HCL(
name="HCL",
MM=0.03646094,
Hf=-2531750.415650282,
H0=236968.7671244899,
Tlimit=1000,
alow={20625.88287,-309.3368855,5.27541885,-0.00482887422,6.1957946e-006,-3.040023782e-009,
4.916790029999999e-013},
blow={-10677.82299,-7.309305408},
ahigh={915774.951,-2770.550211,5.97353979,-0.000362981006,4.73552919e-008,
2.810262054e-012,-6.65610422e-016},
bhigh={5674.95805,-16.42825822},
R_s=R_NASA_2002/HCL.MM);
constant IdealGases.Common.DataRecord HD(
name="HD",
MM=0.003022042,
Hf=106981.3060175868,
H0=2815679.596775955,
Tlimit=1000,
alow={25191.20338,-276.1004999,4.64444129,-0.002082376844,1.418070803e-006,
2.839893835e-010,-3.20233103e-013},
blow={391.361643,-9.395396119999999},
ahigh={845583.0000000001,-1956.578537,4.40437387,0.000575168109,-2.131983152e-007,
4.03612668e-011,-2.727170705e-015},
bhigh={12272.54163,-10.84742878},
R_s=R_NASA_2002/HD.MM);
constant IdealGases.Common.DataRecord HDplus(
name="HDplus",
MM=0.0030214934,
Hf=495381726.7977484,
H0=2850908.097300494,
Tlimit=1000,
alow={-80700.73049999999,879.643258,0.0596893216,0.005418181009999999,-2.021515155e-006,
-4.94526165e-010,4.09293565e-013},
blow={174499.2497,19.34281193},
ahigh={1340083.03,-5730.069570000001,12.13836576,-0.00524333812,
1.976302344e-006,-3.30657353e-010,1.937902763e-014},
bhigh={213534.8051,-61.2875839},
R_s=R_NASA_2002/HDplus.MM);
constant IdealGases.Common.DataRecord HDO(
name="HDO",
MM=0.019021442,
Hf=-12894946.50300435,
H0=521817.5888032044,
Tlimit=1000,
alow={-27377.95356,431.0503899999999,1.558479899,0.005764969149999999,-4.85512936e-006,
3.38299017e-009,-1.040863879e-012},
blow={-32732.2645,14.87751891},
ahigh={1711376.798,-5322.8723,9.124351519999999,-0.000340066415,
4.152343519999999e-008,-4.78076857e-014,-1.46803517e-016},
bhigh={3245.22468,-37.7460068},
R_s=R_NASA_2002/HDO.MM);
constant IdealGases.Common.DataRecord HDO2(
name="HDO2",
MM=0.035020842,
Hf=-4004519.223152887,
H0=323663.4059226788,
Tlimit=1000,
alow={-32164.7665,749.2334460000001,-1.957676212,0.02412802791,-2.915946684e-005,
1.930016324e-008,-5.22698631e-012},
blow={-21510.59175,36.7240674},
ahigh={1313180.619,-5175.63712,12.16490975,-0.000613669948,1.227560176e-007,
-1.079624939e-011,3.87401372e-016},
bhigh={13032.0967,-50.85276870000001},
R_s=R_NASA_2002/HDO2.MM);
constant IdealGases.Common.DataRecord HF(
name="HF",
MM=0.0200063432,
Hf=-13660667.38273289,
H0=429818.8286603021,
Tlimit=1000,
alow={-3192.09897,59.8680772,3.055113902,0.001684673783,-3.28739483e-006,
3.095923617e-009,-9.76469161e-013},
blow={-34184.4316,3.29490412},
ahigh={725708.904,-1484.797741,3.85552747,0.000713898985,-2.106757333e-007,
3.050092453e-011,-1.639495583e-015},
bhigh={-23554.5666,-3.20385683},
R_s=R_NASA_2002/HF.MM);
constant IdealGases.Common.DataRecord HI(
name="HI",
MM=0.12791241,
Hf=206070.7010367485,
H0=67675.21618895305,
Tlimit=1000,
alow={18728.8173,-343.178884,5.95671243,-0.008543439599999999,
1.454780274e-005,-1.049104164e-008,2.839734003e-012},
blow={3682.95072,-8.14975609},
ahigh={472492.145,-1923.465741,5.75804897,-0.000406626638,
9.474332049999999e-008,-1.033534431e-011,4.61161479e-016},
bhigh={13948.57037,-11.82487652},
R_s=R_NASA_2002/HI.MM);
constant IdealGases.Common.DataRecord HNC(
name="HNC",
MM=0.02702534,
Hf=7192439.429069164,
H0=370049.8865139163,
Tlimit=1000,
alow={48706.2064,-989.1456249999999,9.72215389,-0.01113593916,
1.668862707e-005,-1.113940941e-008,2.893600868e-012},
blow={26646.79758,-31.04826344},
ahigh={1198791.66,-3918.94186,9.11802009,-0.00034177611,3.31480968e-008,-5.70157474e-013,
-7.789455389999999e-017},
bhigh={46588.103,-34.68575882},
R_s=R_NASA_2002/HNC.MM);
constant IdealGases.Common.DataRecord HNCO(
name="HNCO",
MM=0.04302474,
Hf=-2743921.962108313,
H0=254879.5413987394,
Tlimit=1000,
alow={75424.6008,-955.0937770000001,6.72570587,0.0047056875,-4.95947551e-006,
3.69425512e-009,-1.164859121e-012},
blow={-10681.49742,-13.65584762},
ahigh={1253216.926,-5021.091539999999,12.47789314,-0.000689165525,
1.097738448e-007,-9.3064038e-012,3.24260695e-016},
bhigh={14531.55559,-53.06419819},
R_s=R_NASA_2002/HNCO.MM);
constant IdealGases.Common.DataRecord HNO(
name="HNO",
MM=0.03101404,
Hf=3289888.224816889,
H0=320560.6235111581,
Tlimit=1000,
alow={-68547.6486,955.16272,-0.600072021,0.007995176749999999,-6.54707916e-007,
-3.6705134e-009,1.783392519e-012},
blow={6435.35126,30.48166179},
ahigh={-5795614.98,19454.57427,-21.52568374,0.01797428992,-4.97604067e-006,
6.397924169999999e-010,-3.142619368e-014},
bhigh={-110419.2372,181.8650338},
R_s=R_NASA_2002/HNO.MM);
constant IdealGases.Common.DataRecord HNO2(
name="HNO2",
MM=0.04701344,
Hf=-1668712.648978675,
H0=246680.2046393542,
Tlimit=1000,
alow={8591.985060000001,120.3644046,0.9412979119999999,0.01942891839,-2.253174194e-005,
1.384587594e-008,-3.47355046e-012},
blow={-11063.37202,20.73967331},
ahigh={878790.4129999999,-3990.45503,11.87349269,-0.000488190061,
7.13363679e-008,-5.37630334e-012,1.581778986e-016},
bhigh={12463.43241,-46.08874688},
R_s=R_NASA_2002/HNO2.MM);
constant IdealGases.Common.DataRecord HNO3(
name="HNO3",
MM=0.06301284,
Hf=-2125167.965766977,
H0=188475.7138386399,
Tlimit=1000,
alow={9202.86901,109.3774496,-0.452104245,0.02984914503,-3.1906355e-005,
1.720931528e-008,-3.78264983e-012},
blow={-17640.48507,27.46644879},
ahigh={-94978.0964,-2733.024468,14.49426995,-0.000782186805,
1.702693665e-007,-1.930543961e-011,8.870455120000001e-016},
bhigh={-4882.51778,-59.28392985000001},
R_s=R_NASA_2002/HNO3.MM);
constant IdealGases.Common.DataRecord HOCL(
name="HOCL",
MM=0.05246034,
Hf=-1443757.932182674,
H0=194902.0155035213,
Tlimit=1000,
alow={-9739.307430000001,354.756952,0.1539514254,0.01617051795,-2.179693631e-005,
1.509103049e-008,-4.12538351e-012},
blow={-11763.23791,24.73257759},
ahigh={853045.781,-2847.760552,7.94832904,-0.0001048782013,-1.482405043e-008,
4.59167827e-012,-3.060073987e-016},
bhigh={7250.964950000001,-22.4983169},
R_s=R_NASA_2002/HOCL.MM);
constant IdealGases.Common.DataRecord HOF(
name="HOF",
MM=0.0360057432,
Hf=-2691187.915821163,
H0=280189.6059737493,
Tlimit=1000,
alow={-36968.883,780.900666,-2.077685317,0.02038690173,-2.586919999e-005,
1.713797538e-008,-4.55128187e-012},
blow={-16317.20064,36.450525},
ahigh={881201.823,-3120.013169,8.223710069999999,-0.0002298036315,
1.459115709e-008,1.095883303e-012,-1.404445608e-016},
bhigh={6300.54671,-25.90150427},
R_s=R_NASA_2002/HOF.MM);
constant IdealGases.Common.DataRecord HO2(
name="HO2",
MM=0.03300674,
Hf=364168.0456779433,
H0=0,
Tlimit=1000,
alow={-75988.8254,1329.383918,-4.67738824,0.02508308202,-3.006551588e-005,
1.895600056e-008,-4.82856739e-012},
blow={-5.873350960e+003,5.193602140e+001},
ahigh={-1810669.724,4963.19203,-1.039498992,0.004560148530000001,-1.061859447e-006,
1.144567878e-010,-4.763064160e-015},
bhigh={-3.200817190e+004,4.066850920e+001},
R_s=R_NASA_2002/HO2.MM);
constant IdealGases.Common.DataRecord HO2minus(
name="HO2minus",
MM=0.0330072886,
Hf=-2966710.813077812,
H0=0,
Tlimit=1000,
alow={110383.9835,-1047.963653,6.36001399,0.002942520461,-6.284141339999999e-006,
5.43825424e-009,-1.64730582e-012},
blow={-7.417741590e+003,-1.251878002e+001},
ahigh={793330.6,-2503.312417,7.54896233,8.308390149999999e-005,-5.96973091e-008,
9.955377000000001e-012,-5.606477280e-016},
bhigh={2.512079084e+003,-2.070065846e+001},
R_s=R_NASA_2002/HO2minus.MM);
constant IdealGases.Common.DataRecord HPO(
name="HPO",
MM=0.04798110100000001,
Hf=-1185232.473093937,
H0=209777.241251717,
Tlimit=1000,
alow={-38163.1412,792.764187,-1.889940652,0.01800907425,-1.857631793e-005,
1.018768867e-008,-2.355583619e-012},
blow={-11576.4124,36.9292591},
ahigh={384245.945,-2434.951707,8.582173920000001,-0.000405844857,-1.66948874e-008,
2.253640566e-011,-1.943063011e-015},
bhigh={5761.63212,-26.49097544},
R_s=R_NASA_2002/HPO.MM);
constant IdealGases.Common.DataRecord HSO3F(
name="HSO3F",
MM=0.1000695432,
Hf=-7525966.202272021,
H0=150037.3991914055,
Tlimit=1000,
alow={6896.24213,-93.05810749999999,1.570331788,0.0378082075,-4.87272078e-005,
3.160796011e-008,-8.189782929999999e-012},
blow={-91802.40820000001,17.16315977},
ahigh={554404.708,-3974.42432,17.78869264,-0.000440932203,5.94441139e-008,-3.92701581e-012,
8.891284000000001e-017},
bhigh={-71534.3827,-76.13127849},
R_s=R_NASA_2002/HSO3F.MM);
constant IdealGases.Common.DataRecord H2(
name="H2",
MM=0.00201588,
Hf=0,
H0=4200697.462150524,
Tlimit=1000,
alow={40783.2321,-800.918604,8.21470201,-0.01269714457,1.753605076e-005,-1.20286027e-008,
3.36809349e-012},
blow={2682.484665,-30.43788844},
ahigh={560812.801,-837.150474,2.975364532,0.001252249124,-3.74071619e-007,
5.936625200000001e-011,-3.6069941e-015},
bhigh={5339.82441,-2.202774769},
R_s=R_NASA_2002/H2.MM);
constant IdealGases.Common.DataRecord H2plus(
name="H2plus",
MM=0.0020153314,
Hf=741650941.3786734,
H0=4258904.01945804,
Tlimit=1000,
alow={-31208.8606,230.4622909,3.33556442,-0.002419056763,
7.006022340000001e-006,-5.61001066e-009,1.564169746e-012},
blow={177410.4638,-0.8278523760000001},
ahigh={1672225.964,-6595.18499,12.79321925,-0.00550934526,2.030669412e-006,
-3.35102748e-010,1.946089104e-014},
bhigh={218999.9548,-67.9271078},
R_s=R_NASA_2002/H2plus.MM);
constant IdealGases.Common.DataRecord H2minus(
name="H2minus",
MM=0.0020164286,
Hf=116626178.5812798,
H0=4275178.402052024,
Tlimit=1000,
alow={-97535.65670000001,1221.166236,-2.264588838,0.01237202227,-1.12710002e-005,
5.36723995e-009,-1.04942016e-012},
blow={21213.99948,30.50556136},
ahigh={95992.7562,-914.4682879999999,5.14941881,-0.0001016559478,
5.446919560000001e-008,-6.155174449999999e-012,2.822451181e-016},
bhigh={32341.0518,-14.4078098},
R_s=R_NASA_2002/H2minus.MM);
constant IdealGases.Common.DataRecord HBOH(
name="HBOH",
MM=0.02882628,
Hf=-1690275.817760738,
H0=379533.3979965504,
Tlimit=1000,
alow={-61596.4419,1223.483035,-5.46037051,0.0355538868,-4.67502014e-005,
3.23600885e-008,-8.98605332e-012},
blow={-12636.59051,54.2235229},
ahigh={1534611.049,-5753.66643,12.70893665,-0.000705962825,1.027679375e-007,
-7.67092674e-012,2.211854768e-016},
bhigh={27793.70419,-56.0886008},
R_s=R_NASA_2002/HBOH.MM);
constant IdealGases.Common.DataRecord HCOOH(
name="HCOOH",
MM=0.04602538,
Hf=-8225244.419492028,
H0=237426.589416535,
Tlimit=1000,
alow={-29062.79097,765.837888,-3.32841413,0.02817542991,-2.370050804e-005,
1.166063663e-008,-2.79137317e-012},
blow={-50064.4347,43.8709423},
ahigh={487233.645,-7632.238079999999,21.32788153,-0.004402546540000001,
1.102001695e-006,-1.364343517e-010,6.64842975e-015},
bhigh={-5781.43191,-111.1790688},
R_s=R_NASA_2002/HCOOH.MM);
constant IdealGases.Common.DataRecord H2F2(
name="H2F2",
MM=0.0400126864,
Hf=-14243576.95713228,
H0=346625.8141567821,
Tlimit=1000,
alow={52592.1471,-991.3544890000001,10.43577115,-0.002407796033,-6.376956159999999e-007,
2.7357849e-009,-1.10434859e-012},
blow={-65724.60829999999,-30.38432132},
ahigh={1464995.601,-3335.07492,9.187487040000001,0.001051127249,-3.27860557e-007,
4.45604623e-011,-2.281370136e-015},
bhigh={-48254.42090000001,-26.39128168},
R_s=R_NASA_2002/H2F2.MM);
constant IdealGases.Common.DataRecord H2O(
name="H2O",
MM=0.01801528,
Hf=-13423382.81725291,
H0=549760.6476280135,
Tlimit=1000,
alow={-39479.6083,575.573102,0.931782653,0.00722271286,-7.34255737e-006,
4.95504349e-009,-1.336933246e-012},
blow={-33039.7431,17.24205775},
ahigh={1034972.096,-2412.698562,4.64611078,0.002291998307,-6.836830479999999e-007,
9.426468930000001e-011,-4.82238053e-015},
bhigh={-13842.86509,-7.97814851},
R_s=R_NASA_2002/H2O.MM);
constant IdealGases.Common.DataRecord H2Oplus(
name="H2Oplus",
MM=0.0180147314,
Hf=54488837.17466918,
H0=551463.4539596855,
Tlimit=1000,
alow={-1753.89272,224.9850054,1.989400675,0.00611789516,-7.09543664e-006,
5.54765947e-009,-1.704344789e-012},
blow={115958.5952,11.35409642},
ahigh={622871.426,-2864.257487,7.71756556,-0.000902780167,6.17743686e-007,-1.201457479e-010,
7.407709940000001e-015},
bhigh={134208.6651,-26.3661792},
R_s=R_NASA_2002/H2Oplus.MM);
constant IdealGases.Common.DataRecord H2O2(
name="H2O2",
MM=0.03401468,
Hf=-3994745.79799075,
H0=328059.3849479107,
Tlimit=1000,
alow={-92795.3358,1564.748385,-5.97646014,0.0327074452,-3.93219326e-005,
2.509255235e-008,-6.46504529e-012},
blow={-24940.04728,58.7717418},
ahigh={1489428.027,-5170.82178,11.2820497,-8.04239779e-005,-1.818383769e-008,
6.94726559e-012,-4.8278319e-016},
bhigh={14182.51038,-46.50855660000001},
R_s=R_NASA_2002/H2O2.MM);
constant IdealGases.Common.DataRecord H2S(
name="H2S",
MM=0.03408088,
Hf=-604444.4861752396,
H0=292199.6439059085,
Tlimit=1000,
alow={9543.80881,-68.7517508,4.05492196,-0.0003014557336,3.76849775e-006,-2.239358925e-009,
3.086859108e-013},
blow={-3278.45728,1.415194691},
ahigh={1430040.22,-5284.02865,10.16182124,-0.000970384996,2.154003405e-007,
-2.1696957e-011,9.318163070000001e-016},
bhigh={29086.96214,-43.49160391},
R_s=R_NASA_2002/H2S.MM);
constant IdealGases.Common.DataRecord H2SO4(
name="H2SO4",
MM=0.09807848,
Hf=-7470871.500047717,
H0=168320.1962346888,
Tlimit=1000,
alow={-41291.5005,668.158989,-2.632753507,0.0541538248,-7.067502229999999e-005,
4.68461142e-008,-1.236791238e-011},
blow={-93156.60120000001,39.61096201},
ahigh={1437877.914,-6614.90253,21.57662058,-0.000480625597,3.010775121e-008,
2.334842469e-012,-2.946330375e-016},
bhigh={-52590.92950000001,-102.3603724},
R_s=R_NASA_2002/H2SO4.MM);
constant IdealGases.Common.DataRecord H2BOH(
name="H2BOH",
MM=0.02983422,
Hf=-9708110.284096584,
H0=356044.3678433691,
Tlimit=1000,
alow={-86867.6678,1820.335089,-10.32373881,0.0492280106,-5.97861991e-005,
3.94606273e-008,-1.068442257e-011},
blow={-44152.3815,79.86177289999999},
ahigh={2294795.193,-9382.923559999999,17.98228329,-0.001506116214,
2.635641095e-007,-2.483163637e-011,9.736759120000001e-016},
bhigh={20397.38953,-94.48201210000001},
R_s=R_NASA_2002/H2BOH.MM);
constant IdealGases.Common.DataRecord HB_OH_2(
name="HB_OH_2",
MM=0.04583362000000001,
Hf=-14060393.30954003,
H0=265253.5845957617,
Tlimit=1000,
alow={-20670.44022,953.4459160000001,-8.08895652,0.0597242529,-8.071336320000001e-005,
5.61211835e-008,-1.553607566e-011},
blow={-82642.70809999999,65.3957164},
ahigh={2122674.609,-8615.948939999998,19.6617952,-0.00081484115,
8.955082040000001e-008,-3.34483051e-012,-6.919578139999999e-017},
bhigh={-27887.90377,-99.8355961},
R_s=R_NASA_2002/HB_OH_2.MM);
constant IdealGases.Common.DataRecord H3BO3(
name="H3BO3",
MM=0.06183302,
Hf=-16243108.32626322,
H0=219299.6234050998,
Tlimit=1000,
alow={25689.01843,113.8029495,-4.04509658,0.0592452168,-8.148028410000001e-005,
5.65859329e-008,-1.54927705e-011},
blow={-122170.205,41.3222014},
ahigh={2297369.132,-8933.57179,21.93496552,-0.000309478349,-5.06405299e-008,
1.482296684e-011,-9.7644209e-016},
bhigh={-69702.9847,-112.2292829},
R_s=R_NASA_2002/H3BO3.MM);
constant IdealGases.Common.DataRecord H3B3O3(
name="H3B3O3",
MM=0.08345502000000001,
Hf=-14424069.24113133,
H0=186966.8355480593,
Tlimit=1000,
alow={-198528.4188,4104.13209,-28.27215617,0.1269639253,-0.0001558505781,
9.96630407e-008,-2.60367765e-011},
blow={-164849.4375,176.3917407},
ahigh={1286220.713,-10932.58784,32.1351867,-0.002595402269,5.35376647e-007,
-5.833567379999999e-011,2.600757913e-015},
bhigh={-87528.5689,-177.0847815},
R_s=R_NASA_2002/H3B3O3.MM);
constant IdealGases.Common.DataRecord H3B3O6(
name="H3B3O6",
MM=0.13145322,
Hf=-17220480.49488632,
H0=180268.3342408805,
Tlimit=1000,
alow={-20670.31503,708.339154,-7.12382095,0.1025049979,-0.0001295004602,
8.322737589999999e-008,-2.145746724e-011},
blow={-277804.9216,60.6359763},
ahigh={1952433.352,-11549.32896,38.9267611,-0.00111385228,1.280317726e-007,
-5.72846482e-012,-2.214529572e-017},
bhigh={-212092.7136,-207.5566801},
R_s=R_NASA_2002/H3B3O6.MM);
constant IdealGases.Common.DataRecord H3F3(
name="H3F3",
MM=0.0600190296,
Hf=-14723276.86550934,
H0=254303.0452461697,
Tlimit=1000,
alow={98885.62650000001,-1380.21288,8.98045847,0.01871609057,-3.127862508e-005,
2.589436165e-008,-8.04037227e-012},
blow={-101366.1491,-25.85302557},
ahigh={2515790.373,-8789.42332,20.23933445,-0.001131704646,1.692779921e-007,
-1.308662105e-011,3.978322e-016},
bhigh={-54717.1365,-99.07787640000001},
R_s=R_NASA_2002/H3F3.MM);
constant IdealGases.Common.DataRecord H3Oplus(
name="H3Oplus",
MM=0.0190226714,
Hf=31436173.57549476,
H0=528129.1354273196,
Tlimit=1000,
alow={-64476.4015,1181.817922,-3.80189306,0.02220628313,-2.445343237e-005,
1.573297747e-008,-4.15883641e-012},
blow={65306.1332,42.8272313},
ahigh={2955126.2,-9185.669409999999,13.41398696,-0.000559033921,
1.138387119e-008,7.25992721e-012,-6.13373436e-016},
bhigh={129053.4257,-70.2182818},
R_s=R_NASA_2002/H3Oplus.MM);
constant IdealGases.Common.DataRecord H4F4(
name="H4F4",
MM=0.08002537279999999,
Hf=-14831950.09870669,
H0=270590.1796186322,
Tlimit=1000,
alow={131510.9024,-1840.36156,12.64093152,0.0249540736,-4.17039461e-005,
3.45252384e-008,-1.07203436e-011},
blow={-136400.3454,-41.2291353},
ahigh={3354037.99,-11719.2204,27.65243565,-0.001508934621,2.257027572e-007,
-1.744867255e-011,5.304351740000001e-016},
bhigh={-74202.13160000001,-138.8603332},
R_s=R_NASA_2002/H4F4.MM);
constant IdealGases.Common.DataRecord H5F5(
name="H5F5",
MM=0.100031716,
Hf=-14897154.03862511,
H0=280362.4602421096,
Tlimit=1000,
alow={164136.1897,-2300.510396,16.30140545,0.03119205422,-5.21292635e-005,
4.31561124e-008,-1.340031413e-011},
blow={-171434.5408,-56.8215738},
ahigh={4192290.73,-14649.03043,35.0655492,-0.001886170471,2.821289954e-007,
-2.181090984e-011,6.63047416e-016},
bhigh={-93687.042,-178.8592044},
R_s=R_NASA_2002/H5F5.MM);
constant IdealGases.Common.DataRecord H6F6(
name="H6F6",
MM=0.1200380592,
Hf=-15041438.88224411,
H0=286030.0577068977,
Tlimit=1000,
alow={195688.6618,-2753.90988,19.75625055,0.0380771701,-6.341218879999999e-005,
5.21923329e-008,-1.612185649e-011},
blow={-207926.941,-71.13607980000001},
ahigh={5024520.319999999,-17428.17868,42.148705,-0.002084564791,
2.930051519e-007,-2.052079159e-011,5.2069373e-016},
bhigh={-115449.7653,-216.3947001},
R_s=R_NASA_2002/H6F6.MM);
constant IdealGases.Common.DataRecord H7F7(
name="H7F7",
MM=0.1400444024,
Hf=-14993094.60440098,
H0=291530.7809546553,
Tlimit=1000,
alow={229386.7477,-3220.80786,23.62235212,0.0436680188,-7.29799034e-005,
6.041786420000001e-008,-1.876025627e-011},
blow={-241863.7479,-88.38812259999999},
ahigh={5868789.83,-20508.63473,49.8917611,-0.002640634895,3.94979633e-007,-3.053515088e-011,
9.28260178e-016},
bhigh={-133017.7809,-259.2385142},
R_s=R_NASA_2002/H7F7.MM);
constant IdealGases.Common.DataRecord He(
name="He",
MM=0.004002602,
Hf=0,
H0=1548349.798456104,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={-745.375,0.9287239740000001},
ahigh={0,0,2.5,0,0,0,0},
bhigh={-745.375,0.9287239740000001},
R_s=R_NASA_2002/He.MM);
constant IdealGases.Common.DataRecord Heplus(
name="Heplus",
MM=0.0040020534,
Hf=594325271.3719412,
H0=1548562.045673853,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={285323.3739,1.621665557},
ahigh={0,0,2.5,0,0,0,0},
bhigh={285323.3739,1.621665557},
R_s=R_NASA_2002/Heplus.MM);
constant IdealGases.Common.DataRecord Hg(
name="Hg",
MM=0.20059,
Hf=305997.3079415724,
H0=30895.99680941224,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={6636.90008,6.80020154},
ahigh={51465.7351,-168.1269855,2.718343098,-0.0001445026192,5.15897766e-008,
-9.47248501e-012,7.034797406e-016},
bhigh={7688.68493,5.27123609},
R_s=R_NASA_2002/Hg.MM);
constant IdealGases.Common.DataRecord Hgplus(
name="Hgplus",
MM=0.2005894514,
Hf=5357425.928928983,
H0=30896.08130809215,
Tlimit=1000,
alow={0.000409834494,-4.34358162e-006,2.500000019,-4.389036810000001e-011,
5.5639692e-014,-3.63822826e-017,9.607881994999999e-021},
blow={128503.7483,7.4933445},
ahigh={-12299.84728,27.32269908,2.48418216,-4.42679761e-006,
7.489685859999999e-009,-2.549887287e-012,2.819873366e-016},
bhigh={128318.8257,7.62524457},
R_s=R_NASA_2002/Hgplus.MM);
constant IdealGases.Common.DataRecord HgBr2(
name="HgBr2",
MM=0.3603980000000001,
Hf=-253363.2706063851,
H0=43447.47751097397,
Tlimit=1000,
alow={-1991.826537,-190.2186083,8.246401260000001,-0.001607089392,
1.947654549e-006,-1.242873546e-009,3.24181831e-013},
blow={-12307.23096,-8.7166593},
ahigh={-22436.4929,-3.31265227,7.50276517,-1.202360213e-006,
2.830526999e-010,-3.4076867e-014,1.640497921e-018},
bhigh={-13274.83366,-4.3685556},
R_s=R_NASA_2002/HgBr2.MM);
constant IdealGases.Common.DataRecord I(
name="I",
MM=0.12690447,
Hf=841262.7230545938,
H0=48835.37987274995,
Tlimit=1000,
alow={169.8199675,-2.716437233,2.517385557,-5.73069207e-005,
1.031716184e-007,-9.670641930000001e-011,3.706471651e-014},
blow={12107.5009,7.40582313},
ahigh={-778586.0569999999,2303.279568,0.002886686091,0.001180878463,-2.264074866e-007,
1.963511339e-011,-6.243525940999999e-016},
bhigh={-2616.792742,25.58922997},
R_s=R_NASA_2002/I.MM);
constant IdealGases.Common.DataRecord Iplus(
name="Iplus",
MM=0.1269039214,
Hf=8836220.470016144,
H0=48835.59098592204,
Tlimit=1000,
alow={-801.496901,8.13905261,2.47017476,4.16139382e-005,
7.133397859999999e-009,-7.10595014e-011,4.873766102e-014},
blow={134079.4213,7.90342009},
ahigh={-778838.5329999999,2404.962651,-0.1791751142,0.001227311979,-1.80149403e-007,
9.923983959999999e-012,-9.775286439000001e-017},
bhigh={118853.1631,27.10544347},
R_s=R_NASA_2002/Iplus.MM);
constant IdealGases.Common.DataRecord Iminus(
name="Iminus",
MM=0.1269050186,
Hf=-1533395.401905721,
H0=48835.1687614031,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={-24149.70936,6.11346538},
ahigh={0,0,2.5,0,0,0,0},
bhigh={-24149.70936,6.11346538},
R_s=R_NASA_2002/Iminus.MM);
constant IdealGases.Common.DataRecord IF5(
name="IF5",
MM=0.221896486,
Hf=-3790055.512641151,
H0=90331.04742361714,
Tlimit=1000,
alow={202618.453,-3598.18317,25.30349738,-0.01348602458,1.105687229e-005,-4.70793951e-009,
7.86441147e-013},
blow={-87001.4725,-111.2719941},
ahigh={-362050.626,-163.9236093,16.12272743,-4.91443155e-005,
1.086015052e-008,-1.244672691e-012,5.76359362e-017},
bhigh={-106164.2293,-53.9877336},
R_s=R_NASA_2002/IF5.MM);
constant IdealGases.Common.DataRecord IF7(
name="IF7",
MM=0.2598932924,
Hf=-3699595.288208369,
H0=92820.14467257561,
Tlimit=1000,
alow={299985.3564,-5501.55413,36.2713398,-0.02095765818,1.76197268e-005,-7.82914233e-009,
1.405939372e-012},
blow={-93313.0766,-175.421615},
ahigh={-561442.264,-264.6288326,22.19879891,-7.984221469999999e-005,
1.768835964e-008,-2.031523755e-012,9.423767390000001e-017},
bhigh={-122524.5322,-87.74010730000001},
R_s=R_NASA_2002/IF7.MM);
constant IdealGases.Common.DataRecord I2(
name="I2",
MM=0.25380894,
Hf=245933.0234782116,
H0=39857.23276729338,
Tlimit=1000,
alow={-5087.96877,-12.4958521,4.50421909,0.0001370962533,-1.390523014e-007,
1.174813853e-010,-2.337541043e-014},
blow={6213.469810000001,5.58383694},
ahigh={-5632594.16,17939.6156,-17.23055169,0.0124421408,-3.33276858e-006,
4.12547794e-010,-1.960461713e-014},
bhigh={-106850.5292,160.0531883},
R_s=R_NASA_2002/I2.MM);
constant IdealGases.Common.DataRecord In(
name="In",
MM=0.114818,
Hf=2096361.197721611,
H0=53986.73552927241,
Tlimit=1000,
alow={51495.1805,-917.799902,8.93868795,-0.02224112602,3.82388194e-005,-2.890116948e-008,
8.047481221e-012},
blow={32390.3162,-27.64567028},
ahigh={-1683608.899,2210.473186,3.47221937,-0.001082267422,3.47969998e-007,
-5.15809241e-011,3.183043089e-015},
bhigh={10959.65206,2.557189088},
R_s=R_NASA_2002/In.MM);
constant IdealGases.Common.DataRecord Inplus(
name="Inplus",
MM=0.1148174514,
Hf=60935.2055344437,
H0=53976.35920701163,
Tlimit=1000,
alow={0.2150488908,-0.002523854672,2.500011877,-2.869063919e-008,
3.7538704e-011,-2.525942419e-014,6.84293266e-018},
blow={96.1093017,5.9632544},
ahigh={45369.9514,-144.5142103,2.681812441,-0.000115748006,3.94771481e-008,
-6.87924362e-012,4.81920492e-016},
bhigh={1004.26144,4.68375918},
R_s=R_NASA_2002/Inplus.MM);
constant IdealGases.Common.DataRecord InBr(
name="InBr",
MM=0.194722,
Hf=-277913.5331395528,
H0=51787.27108390423,
Tlimit=1000,
alow={-2540.851435,-52.94704710000001,4.71743809,-0.000434466949,
6.51351364e-007,-4.40399515e-010,1.234046209e-013},
blow={-7607.59428,4.258881},
ahigh={794837.442,-2318.183711,7.03288958,-0.001245920568,3.27669335e-007,-3.003771106e-011,
5.85319277e-016},
bhigh={6957.627289999999,-12.7350266},
R_s=R_NASA_2002/InBr.MM);
constant IdealGases.Common.DataRecord InBr2(
name="InBr2",
MM=0.274626,
Hf=-545210.7921318448,
H0=52523.58116128844,
Tlimit=1000,
alow={-66.19878900000001,-236.589731,7.92654516,-0.001994547959,
2.420414153e-006,-1.548924922e-009,4.05814839e-013},
blow={-18953.55588,-5.33886754},
ahigh={-321716.203,479.2682100000001,7.10264948,-0.000551401978,
3.157862421e-007,-5.51125451e-011,3.17216139e-015},
bhigh={-23709.23659,0.1193263347},
R_s=R_NASA_2002/InBr2.MM);
constant IdealGases.Common.DataRecord InBr3(
name="InBr3",
MM=0.35453,
Hf=-723739.2237610358,
H0=56166.56700420276,
Tlimit=1000,
alow={-4990.1153,-280.5930452,11.1035606,-0.002379995808,2.887825281e-006,-1.844500707e-009,
4.81439587e-013},
blow={-32505.0491,-18.71748987},
ahigh={-35057.831,-4.85872132,10.00406131,-1.767620958e-006,4.16401606e-010,
-5.01552887e-014,2.415414123e-018},
bhigh={-33931.7924,-12.29069868},
R_s=R_NASA_2002/InBr3.MM);
constant IdealGases.Common.DataRecord InCL(
name="InCL",
MM=0.150271,
Hf=-480118.4726261222,
H0=64896.86632816712,
Tlimit=1000,
alow={6430.71303,-217.8267726,5.4188309,-0.0020480051,2.702295936e-006,-1.795319798e-009,
4.84746909e-013},
blow={-8959.84107,-1.202999253},
ahigh={-274575.1636,894.0986909999999,3.26811839,0.0009180277780000001,-3.083262431e-007,
5.74545881e-011,-3.64527575e-015},
bhigh={-15616.0343,12.66880374},
R_s=R_NASA_2002/InCL.MM);
constant IdealGases.Common.DataRecord InCL2(
name="InCL2",
MM=0.185724,
Hf=-1084853.955331567,
H0=75145.82929508302,
Tlimit=1000,
alow={9935.164869999999,-417.210186,8.58849491,-0.00334838561,
3.99786664e-006,-2.525301853e-009,6.54449033e-013},
blow={-24264.80269,-11.64521725},
ahigh={-332871.984,475.769161,7.10544369,-0.000552578696,3.160567738e-007,-5.51445368e-011,
3.17368038e-015},
bhigh={-29950.95917,-2.294555511},
R_s=R_NASA_2002/InCL2.MM);
constant IdealGases.Common.DataRecord InCL3(
name="InCL3",
MM=0.221177,
Hf=-1671481.333954254,
H0=82769.78618934158,
Tlimit=1000,
alow={26147.43044,-841.460456,13.1178479,-0.00643528247,7.55487475e-006,-4.70507856e-009,
1.204213663e-012},
blow={-43264.6958,-35.0008094},
ahigh={-71140.4363,-16.28425068,10.01309622,-5.54452888e-006,
1.279877732e-009,-1.518261505e-013,7.22656277e-018},
bhigh={-47589.7417,-16.69761011},
R_s=R_NASA_2002/InCL3.MM);
constant IdealGases.Common.DataRecord InF(
name="InF",
MM=0.1338164032,
Hf=-1445413.150964142,
H0=68878.7830160421,
Tlimit=1000,
alow={31901.2332,-529.525426,6.17288626,-0.002986035832,3.23377803e-006,-1.856975575e-009,
4.46502497e-013},
blow={-21871.76282,-7.59121662},
ahigh={-468900.12,1321.019051,2.881329353,0.001041591078,-3.090754867e-007,
4.92664656e-011,-2.699156425e-015},
bhigh={-33083.6981,13.96688303},
R_s=R_NASA_2002/InF.MM);
constant IdealGases.Common.DataRecord InF2(
name="InF2",
MM=0.1528148064,
Hf=-2991770.462367971,
H0=82379.29489010562,
Tlimit=1000,
alow={75224.8021,-1088.616881,9.481705209999999,-0.002893229367,
1.516224649e-006,-7.98951781e-011,-1.466781026e-013},
blow={-51243.36150000001,-21.4666609},
ahigh={431896.034,-1688.47242,8.925863010000001,-0.001049188835,
2.72393419e-007,-2.882959902e-011,1.073493779e-015},
bhigh={-46736.91940000001,-19.32464363},
R_s=R_NASA_2002/InF2.MM);
constant IdealGases.Common.DataRecord InF3(
name="InF3",
MM=0.1718132096,
Hf=-5023359.775475611,
H0=94989.40179277113,
Tlimit=1000,
alow={107160.8336,-1660.071901,13.95972813,-0.00501869326,3.22636753e-006,-7.823385970000001e-010,
-3.7269998e-014},
blow={-97952.1499,-46.06353470000001},
ahigh={-165685.5506,-79.6588929,10.05913347,-2.350816639e-005,
5.16351293e-009,-5.88804881e-013,2.715090697e-017},
bhigh={-106868.2627,-21.32968218},
R_s=R_NASA_2002/InF3.MM);
constant IdealGases.Common.DataRecord InH(
name="InH",
MM=0.11582594,
Hf=1856379.529490544,
H0=74975.46749890395,
Tlimit=1000,
alow={-51528.2872,781.3792590000001,-0.8433385339999999,0.01044471274,-9.761074819999999e-006,
4.540635199999999e-009,-8.169906900000001e-013},
blow={21100.48908,29.39346222},
ahigh={779740.666,-3646.88208,9.54296735,-0.00348128172,1.304805603e-006,-2.182950701e-010,
1.274009748e-014},
bhigh={46432.9546,-36.5932923},
R_s=R_NASA_2002/InH.MM);
constant IdealGases.Common.DataRecord InI(
name="InI",
MM=0.24172247,
Hf=109287.0017421219,
H0=42491.39105685955,
Tlimit=1000,
alow={-468.634874,-56.8553099,4.78184969,-0.000661936831,1.027666742e-006,-7.27059207e-010,
2.077991102e-013},
blow={2095.570254,4.88551513},
ahigh={1529221.772,-4690.373680000001,10.04593462,-0.00314043411,
9.460834390000001e-007,-1.253862848e-010,5.94980564e-015},
bhigh={31524.78143,-32.9769749},
R_s=R_NASA_2002/InI.MM);
constant IdealGases.Common.DataRecord InI2(
name="InI2",
MM=0.36862694,
Hf=-107047.637375608,
H0=40454.87559862011,
Tlimit=1000,
alow={-4513.8906,-118.372687,7.47311008,-0.00103447409,1.271465534e-006,-8.2278203e-010,
2.178307019e-013},
blow={-6278.53604,-0.66672975},
ahigh={-313067.1665,481.38107,7.10091418,-0.000550655992,3.156120735e-007,-5.50917054e-011,
3.17116283e-015},
bhigh={-10430.1275,2.141662307},
R_s=R_NASA_2002/InI2.MM);
constant IdealGases.Common.DataRecord InI3(
name="InI3",
MM=0.49553141,
Hf=-212773.4223749813,
H0=42080.25077562692,
Tlimit=1000,
alow={-8728.397169999998,-126.5914859,10.5065912,-0.001106109314,
1.354335766e-006,-8.709453460000001e-010,2.28518635e-013},
blow={-15082.69063,-12.11411745},
ahigh={-21967.42567,-2.151167521,10.001822,-8.002214699999999e-007,
1.897343164e-010,-2.29625246e-014,1.109838196e-018},
bhigh={-15724.06335,-9.17088869},
R_s=R_NASA_2002/InI3.MM);
constant IdealGases.Common.DataRecord InO(
name="InO",
MM=0.1308174,
Hf=1116006.807962855,
H0=69120.07882743428,
Tlimit=1000,
alow={-115472.7169,1753.668703,-6.96503381,0.02961698958,-3.123332334e-005,
1.43724472e-008,-2.235519898e-012},
blow={8188.67959,66.0862126},
ahigh={-805213.0950000001,1693.064203,4.76086358,-0.00073407184,
3.22959776e-007,-4.58015038e-011,1.954611725e-015},
bhigh={4005.51981,3.50074246},
R_s=R_NASA_2002/InO.MM);
constant IdealGases.Common.DataRecord InOH(
name="InOH",
MM=0.13182534,
Hf=-944032.0351155552,
H0=81447.45919107813,
Tlimit=1000,
alow={61234.6302,-1195.863129,10.41427981,-0.0068700025,6.21412878e-006,-2.408203181e-009,
3.17764178e-013},
blow={-10798.5217,-31.8989084},
ahigh={852512.8929999999,-2350.317172,7.98451514,9.91581562e-005,-6.21238545e-008,
1.016169575e-011,-5.682557639999999e-016},
bhigh={-1536.21361,-20.43107643},
R_s=R_NASA_2002/InOH.MM);
constant IdealGases.Common.DataRecord In2Br2(
name="In2Br2",
MM=0.389444,
Hf=-504065.321329896,
H0=55039.85938928319,
Tlimit=1000,
alow={-9221.1883,-36.1667703,10.14728771,-0.00032557752,4.02232748e-007,-2.604080237e-010,
6.86768955e-014},
blow={-26448.83479,-10.00360073},
ahigh={-12907.81804,-0.607540124,10.00052163,-2.312058331e-007,
5.51731572e-011,-6.708620190000001e-015,3.25384165e-019},
bhigh={-26631.36878,-9.149949469999999},
R_s=R_NASA_2002/In2Br2.MM);
constant IdealGases.Common.DataRecord In2Br4(
name="In2Br4",
MM=0.549252,
Hf=-794732.9877724615,
H0=57893.49333275072,
Tlimit=1000,
alow={-14255.55379,-286.6009341,17.13866292,-0.002473506655,
3.017273071e-006,-1.93490043e-009,5.06587425e-013},
blow={-55937.5306,-38.3710598},
ahigh={-44534.6371,-4.91152398,16.00413764,-1.810579975e-006,
4.28171574e-010,-5.17199802e-014,2.496142837e-018},
bhigh={-57391.7541,-31.7490639},
R_s=R_NASA_2002/In2Br4.MM);
constant IdealGases.Common.DataRecord In2Br6(
name="In2Br6",
MM=0.7090599999999999,
Hf=-886643.4857416863,
H0=60780.08631145462,
Tlimit=1000,
alow={-17589.40752,-485.903448,23.91654505,-0.00414206149,5.03384932e-006,-3.21910365e-009,
8.410220069999999e-013},
blow={-79888.4446,-64.3787188},
ahigh={-69450.3948,-8.402368170000001,22.00703884,-3.068251799e-006,
7.23596573e-010,-8.722870580000001e-014,4.20346991e-018},
bhigh={-82357.59850000001,-53.221928},
R_s=R_NASA_2002/In2Br6.MM);
constant IdealGases.Common.DataRecord In2CL2(
name="In2CL2",
MM=0.300542,
Hf=-772528.8811547139,
H0=67291.41018559803,
Tlimit=1000,
alow={-11428.48747,-141.6015827,10.56853314,-0.00124425344,1.526076784e-006,
-9.82640281e-010,2.58076699e-013},
blow={-30263.27087,-15.6510496},
ahigh={-26166.06332,-2.401955489,10.00203984,-8.97519003e-007,
2.130755553e-010,-2.5811409e-014,1.248404822e-018},
bhigh={-30980.16735,-12.34946505},
R_s=R_NASA_2002/In2CL2.MM);
constant IdealGases.Common.DataRecord In2CL4(
name="In2CL4",
MM=0.371448,
Hf=-1559103.443819862,
H0=79301.88074777628,
Tlimit=1000,
alow={9814.08308,-848.895901,19.2341036,-0.00681567424,
8.129220730000001e-006,-5.12507685e-009,1.324324755e-012},
blow={-70276.8814,-55.82665695},
ahigh={-85037.7179,-15.52464614,16.01269668,-5.44154987e-006,
1.267594997e-009,-1.514110365e-013,7.24540454e-018},
bhigh={-74619.21740000001,-36.91150615},
R_s=R_NASA_2002/In2CL4.MM);
constant IdealGases.Common.DataRecord In2CL6(
name="In2CL6",
MM=0.442354,
Hf=-1994646.886882452,
H0=86861.3418212563,
Tlimit=1000,
alow={30046.63159,-1585.621359,27.9648947,-0.01245506052,1.475341213e-005,-9.2526892e-009,
2.381233885e-012},
blow={-104882.83,-97.88404639999999},
ahigh={-149940.0484,-29.88680816,22.02425362,-1.033652301e-005,
2.397911922e-009,-2.855307516e-013,1.363051661e-017},
bhigh={-113011.0233,-62.93985679999999},
R_s=R_NASA_2002/In2CL6.MM);
constant IdealGases.Common.DataRecord In2F2(
name="In2F2",
MM=0.2676328064,
Hf=-1988673.612772758,
H0=67405.41356890992,
Tlimit=1000,
alow={7255.7171,-644.826565,12.47539512,-0.00524608962,6.28361621e-006,-3.97434234e-009,
1.029559356e-012},
blow={-63848.92449999999,-31.08004586},
ahigh={-64097.1544,-11.63740672,10.00956511,-4.11408691e-006,
9.60882832e-010,-1.150013486e-013,5.511437479999999e-018},
bhigh={-67142.7785,-16.61718474},
R_s=R_NASA_2002/In2F2.MM);
constant IdealGases.Common.DataRecord In2F4(
name="In2F4",
MM=0.3056296128,
Hf=-4203742.282135299,
H0=81023.15012323308,
Tlimit=1000,
alow={122521.3611,-2444.998374,23.42425457,-0.0129142712,1.308700476e-005,-7.18167393e-009,
1.648386404e-012},
blow={-146694.2111,-89.43560050000001},
ahigh={-220597.7486,-78.2208377,16.05923872,-2.39402324e-005,
5.32958279e-009,-6.14460957e-013,2.859099598e-017},
bhigh={-159571.6347,-44.6957458},
R_s=R_NASA_2002/In2F4.MM);
constant IdealGases.Common.DataRecord In2F6(
name="In2F6",
MM=0.3436264192,
Hf=-5703868.767026397,
H0=97684.86974356599,
Tlimit=1000,
alow={182549.0583,-3552.11171,32.75425230000001,-0.01868064635,
1.892443162e-005,-1.038916311e-008,2.386637271e-012},
blow={-223964.876,-136.3626758},
ahigh={-317096.638,-116.7440973,22.08847456,-3.57773393e-005,
7.96895904e-009,-9.191681699999999e-013,4.278494150000001e-017},
bhigh={-242666.1118,-71.5532856},
R_s=R_NASA_2002/In2F6.MM);
constant IdealGases.Common.DataRecord In2I2(
name="In2I2",
MM=0.48344494,
Hf=-57531.93734947356,
H0=45627.69030119541,
Tlimit=1000,
alow={-6681.92501,-14.49103222,10.05929122,-0.0001314921486,
1.628373589e-007,-1.056087811e-010,2.788963879e-014},
blow={-6279.602599999999,-7.29113098},
ahigh={-8148.157299999999,-0.2444544443,10.00021086,-9.37678925e-008,
2.24298818e-011,-2.732299303e-015,1.327135699e-019},
bhigh={-6352.6515,-6.94772542},
R_s=R_NASA_2002/In2I2.MM);
constant IdealGases.Common.DataRecord In2I4(
name="In2I4",
MM=0.73725388,
Hf=-270114.7954623175,
H0=45396.81635856565,
Tlimit=1000,
alow={-15010.28064,-97.447979,16.3938395,-0.000865938021,1.065671801e-006,-6.87925268e-010,
1.810240886e-013},
blow={-28303.88443,-29.86294828},
ahigh={-25056.99251,-1.642155234,16.00140149,-6.18706628e-007,
1.472308565e-010,-1.786593333e-014,8.652338779999999e-019},
bhigh={-28796.55333,-27.57790375},
R_s=R_NASA_2002/In2I4.MM);
constant IdealGases.Common.DataRecord In2I6(
name="In2I6",
MM=0.99106282,
Hf=-322603.2028928297,
H0=45494.71445210709,
Tlimit=1000,
alow={-22326.40607,-200.0786874,22.80417927,-0.001761331313,
2.161510393e-006,-1.392400447e-009,3.65817188e-013},
blow={-44125.4768,-52.7380203},
ahigh={-43119.0585,-3.39035059,22.00288128,-1.268348706e-006,3.0121219e-010,
-3.64967671e-014,1.765530622e-018},
bhigh={-45138.2027,-48.0686837},
R_s=R_NASA_2002/In2I6.MM);
constant IdealGases.Common.DataRecord In2O(
name="In2O",
MM=0.2456354,
Hf=-141525.6392197542,
H0=52095.52043394397,
Tlimit=1000,
alow={50656.535,-807.036367,8.64206727,-0.001533035446,2.866419382e-007,
4.98113497e-010,-2.554320291e-013},
blow={-1924.908459,-14.90718759},
ahigh={-92327.8636,-52.0112728,7.03872362,-1.543821179e-005,3.39970087e-009,
-3.8854571e-013,1.79512527e-017},
bhigh={-6270.9268,-4.42182041},
R_s=R_NASA_2002/In2O.MM);
constant IdealGases.Common.DataRecord K(
name="K",
MM=0.0390983,
Hf=2276313.803924979,
H0=158508.8865756312,
Tlimit=1000,
alow={9.665143929999999,-0.1458059455,2.500865861,-2.601219276e-006,
4.187306579999999e-009,-3.43972211e-012,1.131569009e-015},
blow={9959.493490000001,5.03582226},
ahigh={-3566422.36,10852.89825,-10.54134898,0.00800980135,-2.696681041e-006,
4.71529415e-010,-2.97689735e-014},
bhigh={-58753.3701,97.3855124},
R_s=R_NASA_2002/K.MM);
constant IdealGases.Common.DataRecord Kplus(
name="Kplus",
MM=0.0390977514,
Hf=13146728.63769859,
H0=158511.1106926727,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={61075.1686,4.34740444},
ahigh={0,0,2.5,0,0,0,0},
bhigh={61075.1686,4.34740444},
R_s=R_NASA_2002/Kplus.MM);
constant IdealGases.Common.DataRecord Kminus(
name="Kminus",
MM=0.0390988486,
Hf=880284.9503859814,
H0=158506.6625210033,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={3394.15071,4.34744653},
ahigh={0,0,2.5,0,0,0,0},
bhigh={3394.15071,4.34744653},
R_s=R_NASA_2002/Kminus.MM);
constant IdealGases.Common.DataRecord KALF4(
name="KALF4",
MM=0.1420734508,
Hf=-13428665.32245868,
H0=150776.8754779904,
Tlimit=1000,
alow={119932.7246,-2156.457352,18.15348004,0.003115762809,-9.51199167e-006,
8.43175623e-009,-2.615583061e-012},
blow={-222254.5809,-68.23299969999999},
ahigh={-343513.537,-242.0680834,16.1802925,-7.19381768e-005,
1.585712708e-008,-1.814017733e-012,8.388391179999999e-017},
bhigh={-233965.8121,-52.338987},
R_s=R_NASA_2002/KALF4.MM);
constant IdealGases.Common.DataRecord KBO2(
name="KBO2",
MM=0.08190810000000001,
Hf=-8155765.998722958,
H0=172030.641658151,
Tlimit=1000,
alow={42963.08650000001,-720.961643,8.34963935,0.002407820401,-1.680003427e-007,
-1.231930486e-009,5.479951640000001e-013},
blow={-78685.2347,-14.76077068},
ahigh={88907.266,-1671.432436,11.1748393,-0.000451376026,9.69900346e-008,-1.09002769e-011,
4.9768458e-016},
bhigh={-73753.36080000001,-32.7474937},
R_s=R_NASA_2002/KBO2.MM);
constant IdealGases.Common.DataRecord KBr(
name="KBr",
MM=0.1190023,
Hf=-1506280.786169679,
H0=84948.96317130004,
Tlimit=1000,
alow={9203.30919,-213.7880361,5.58850915,-0.002753854319,
4.013672610000001e-006,-2.856323127e-009,8.13520974e-013},
blow={-21883.87013,-1.707501588},
ahigh={1562614.367,-4384.89478,9.045464600000001,-0.0020456809,
4.40192385e-007,-1.448178289e-011,-2.27333876e-015},
bhigh={5315.34201,-28.64647026},
R_s=R_NASA_2002/KBr.MM);
constant IdealGases.Common.DataRecord KCN(
name="KCN",
MM=0.0651157,
Hf=1220842.285347466,
H0=191295.4018769667,
Tlimit=1000,
alow={17986.27669,-630.055897,9.988695,-0.01076486132,1.75101498e-005,-1.265592431e-008,
3.46976281e-012},
blow={10580.25371,-25.94060289},
ahigh={361566.387,-1749.018011,8.680702670000001,-0.000440235004,
9.249499710000001e-008,-1.021916855e-011,4.604767189999999e-016},
bhigh={18137.34856,-22.81619241},
R_s=R_NASA_2002/KCN.MM);
constant IdealGases.Common.DataRecord KCL(
name="KCL",
MM=0.0745513,
Hf=-2878217.831211528,
H0=132594.8575008082,
Tlimit=1000,
alow={9058.35151,-245.6801212,5.68069619,-0.002900127425,4.13098306e-006,-2.907340629e-009,
8.22385087e-013},
blow={-25973.04884,-3.677976854},
ahigh={-212294.5722,934.61589,2.866264958,0.001468386693,-5.83426078e-007,
1.255777709e-010,-9.150147999999999e-015},
bhigh={-32737.8764,14.01864636},
R_s=R_NASA_2002/KCL.MM);
constant IdealGases.Common.DataRecord KF(
name="KF",
MM=0.0580967032,
Hf=-5653416.939500278,
H0=162747.8579541842,
Tlimit=1000,
alow={14357.04906,-339.184823,5.72790672,-0.002518371562,3.26591564e-006,-2.21011086e-009,
6.21204205e-013},
blow={-39142.5442,-5.81099962},
ahigh={-1483743.237,4550.04804,-1.081464319,0.00350396588,-1.093902537e-006,
1.771028824e-010,-1.029032783e-014},
bhigh={-69633.2981,40.8863592},
R_s=R_NASA_2002/KF.MM);
constant IdealGases.Common.DataRecord KH(
name="KH",
MM=0.04010624,
Hf=3126673.205964957,
H0=219295.2019436377,
Tlimit=1000,
alow={223.778215,179.3554623,1.130735415,0.009966112559999999,-1.341218171e-005,
9.034529940000001e-009,-2.40988777e-012},
blow={13382.50358,15.52739897},
ahigh={-3752276.52,11727.78444,-10.14137678,0.008854548899999998,-2.517188074e-006,
3.34407236e-010,-1.701157835e-014},
bhigh={-60251.033,101.030459},
R_s=R_NASA_2002/KH.MM);
constant IdealGases.Common.DataRecord KI(
name="KI",
MM=0.16600277,
Hf=-773817.6718376447,
H0=61710.55458893849,
Tlimit=1000,
alow={-457.281174,-63.31769730000001,4.82329242,-0.0007876668320000001,
1.336737911e-006,-1.000530992e-009,3.004503956e-013},
blow={-16503.40769,3.55259482},
ahigh={3293747.78,-10028.24194,16.29302044,-0.00669639675,2.001412089e-006,
-2.677673023e-010,1.273359646e-014},
bhigh={46763.4867,-78.5912337},
R_s=R_NASA_2002/KI.MM);
constant IdealGases.Common.DataRecord KLi(
name="KLi",
MM=0.0460393,
Hf=3707752.355053183,
H0=221487.3597122459,
Tlimit=1000,
alow={-3426.04369,-19.86063081,4.48760705,0.0005249535550000001,-1.207990165e-006,
1.705161047e-009,-7.879994210000001e-013},
blow={19278.68247,1.912285942},
ahigh={12112968.43,-40810.0487,56.8379212,-0.03128695515,
8.975062200000001e-006,-1.189303691e-009,5.88012918e-014},
bhigh={273879.2595,-366.96936},
R_s=R_NASA_2002/KLi.MM);
constant IdealGases.Common.DataRecord KNO2(
name="KNO2",
MM=0.08510380000000001,
Hf=-2261913.028560417,
H0=180281.0920311431,
Tlimit=1000,
alow={-72462.36930000001,1226.722811,-2.258926457,0.03019643903,-3.64025995e-005,
2.219135205e-008,-5.471654230000001e-012},
blow={-30772.6896,45.37172549},
ahigh={-168941.4093,-851.5973150000001,10.63209586,-0.000252325481,
5.57364441e-008,-6.39318592e-012,2.964484049e-016},
bhigh={-21877.01436,-27.55200432},
R_s=R_NASA_2002/KNO2.MM);
constant IdealGases.Common.DataRecord KNO3(
name="KNO3",
MM=0.1011032,
Hf=-3123866.386029324,
H0=157434.304749998,
Tlimit=1000,
alow={-25961.12303,820.060661,-2.886015624,0.042072889,-5.27032309e-005,
3.30856173e-008,-8.36586037e-012},
blow={-43350.5447,46.03187331},
ahigh={-318368.287,-1375.234449,14.01587531,-0.000404066008,8.90084778e-008,
-1.018771993e-011,4.71598202e-016},
bhigh={-35138.5322,-48.04256439},
R_s=R_NASA_2002/KNO3.MM);
constant IdealGases.Common.DataRecord KNa(
name="KNa",
MM=0.06208807,
Hf=2132524.444712164,
H0=170308.5149852459,
Tlimit=1000,
alow={25424.05292,-411.920741,6.84108795,-0.00625048138,8.86101314e-006,-4.922415349999999e-009,
6.493212469999999e-013},
blow={16525.9989,-9.13616691},
ahigh={6260326.62,-25635.93614,43.7333545,-0.0267265511,8.23270579e-006,-1.12850359e-009,
5.66326489e-014},
bhigh={169727.4909,-266.4117219},
R_s=R_NASA_2002/KNa.MM);
constant IdealGases.Common.DataRecord KO(
name="KO",
MM=0.05509770000000001,
Hf=1174882.327211481,
H0=172078.2174210539,
Tlimit=1000,
alow={14625.62908,-338.476565,5.71660764,-0.002363265083,2.848716276e-006,-1.739858233e-009,
4.431006520000001e-013},
blow={8141.83538,-4.02210152},
ahigh={696010.338,-3304.83529,10.05743444,-0.004331112,1.747281632e-006,-3.012370548e-010,
1.79082787e-014},
bhigh={26049.72496,-34.4878152},
R_s=R_NASA_2002/KO.MM);
constant IdealGases.Common.DataRecord KOH(
name="KOH",
MM=0.05610564,
Hf=-4135056.653840862,
H0=208083.3584644966,
Tlimit=1000,
alow={17706.84196,-615.320522,8.684075719999999,-0.00396284951,
3.40865059e-006,-9.60197222e-010,8.494054970000001e-015},
blow={-26779.03261,-21.74495666},
ahigh={891727.195,-2334.179072,7.97257871,0.0001038863156,-6.315893469999999e-008,
1.027938106e-011,-5.73668582e-016},
bhigh={-14436.96469,-20.76401416},
R_s=R_NASA_2002/KOH.MM);
constant IdealGases.Common.DataRecord K2(
name="K2",
MM=0.07819660000000001,
Hf=1618309.862577145,
H0=137360.5629912298,
Tlimit=1000,
alow={15241.69293,-330.178936,7.07079595,-0.00976707246,2.021535863e-005,-1.886092452e-008,
6.11297464e-012},
blow={15334.02849,-9.1010358},
ahigh={-27344707.45,65621.80009999999,-44.7635044,0.008938859150000001,
2.984557092e-006,-1.064158914e-009,8.334936929999999e-014},
bhigh={-422624.383,386.714251},
R_s=R_NASA_2002/K2.MM);
constant IdealGases.Common.DataRecord K2plus(
name="K2plus",
MM=0.07819605140000001,
Hf=6709555.298594016,
H0=138896.1565903314,
Tlimit=1000,
alow={51960.3657,-611.338253,7.26499054,-0.00581063482,6.5674965e-006,-2.378020865e-009,
-1.318637581e-013},
blow={64798.2027,-10.42370517},
ahigh={11079507.39,-41774.8382,64.48659840000001,-0.0402499803,
1.360587923e-005,-2.361920107e-009,1.67343061e-013},
bhigh={317761.205,-410.50631},
R_s=R_NASA_2002/K2plus.MM);
constant IdealGases.Common.DataRecord K2Br2(
name="K2Br2",
MM=0.2380046,
Hf=-2263587.31301832,
H0=88031.0968779595,
Tlimit=1000,
alow={-10930.40504,-48.5665148,10.19754923,-0.00043631571,5.38717366e-007,-3.4861165e-010,
9.19070295e-014},
blow={-67580.73239999999,-12.94944706},
ahigh={-15892.29976,-0.810137946,10.00069442,-3.074491521e-007,
7.33102416e-011,-8.908944780000001e-015,4.319245429999999e-019},
bhigh={-67825.9544,-11.80425726},
R_s=R_NASA_2002/K2Br2.MM);
constant IdealGases.Common.DataRecord K2CO3(
name="K2CO3",
MM=0.1382055,
Hf=-5872770.352844134,
H0=141208.8303287496,
Tlimit=1000,
alow={-44074.067,706.981544,0.693148247,0.0396783132,-4.8509583e-005,
2.976635787e-008,-7.374761529999999e-012},
blow={-103391.3232,29.80651689},
ahigh={-326426.316,-1521.168973,17.12283562,-0.000446458071,9.83337963e-008,
-1.125478371e-011,5.21006912e-016},
bhigh={-94882.75099999999,-62.1522063},
R_s=R_NASA_2002/K2CO3.MM);
constant IdealGases.Common.DataRecord K2C2N2(
name="K2C2N2",
MM=0.1302314,
Hf=-64254.85712355085,
H0=190324.6221725329,
Tlimit=1000,
alow={4627.78948,-972.9810620000001,19.9666591,-0.01953015081,
3.27533046e-005,-2.39398512e-008,6.59654824e-012},
blow={-777.4411259999999,-67.55613632000001},
ahigh={726959.95,-3492.10868,18.35676822,-0.000878547514,1.845532919e-007,-2.038717568e-011,
9.18542099e-016},
bhigh={15826.00773,-67.28484052},
R_s=R_NASA_2002/K2C2N2.MM);
constant IdealGases.Common.DataRecord K2CL2(
name="K2CL2",
MM=0.1491026,
Hf=-4127316.780525624,
H0=133890.6766213332,
Tlimit=1000,
alow={-13285.26456,-124.1832429,10.5003573,-0.001097776004,1.348871402e-006,
-8.69721512e-010,2.28658408e-013},
blow={-76443.6315,-17.90150052},
ahigh={-26146.11331,-2.096229095,10.00178456,-7.864803710000001e-007,
1.869281152e-010,-2.266272348e-014,1.096790704e-018},
bhigh={-77071.8933,-14.99720802},
R_s=R_NASA_2002/K2CL2.MM);
constant IdealGases.Common.DataRecord K2F2(
name="K2F2",
MM=0.1161934064,
Hf=-7400381.034013649,
H0=155995.3061157522,
Tlimit=1000,
alow={-1611.833856,-513.564489,11.99922511,-0.004280109549999999,
5.16538754e-006,-3.2858149e-009,8.549648749999999e-013},
blow={-103924.8602,-30.39925079},
ahigh={-57408.9253,-9.04618211,10.00750685,-3.25076484e-006,7.63006459e-010,
-9.165649529999999e-014,4.40504844e-018},
bhigh={-106541.3546,-18.7403762},
R_s=R_NASA_2002/K2F2.MM);
constant IdealGases.Common.DataRecord K2I2(
name="K2I2",
MM=0.33200554,
Hf=-1261772.475242431,
H0=64627.07821080335,
Tlimit=1000,
alow={-8977.75244,-27.76460169,10.11331014,-0.0002508421994,
3.102352114e-007,-2.010096209e-010,5.30443715e-014},
blow={-53262.0839,-10.32092509},
ahigh={-11796.34729,-0.472476155,10.00040695,-1.807689054e-007,
4.32056097e-011,-5.259699430000001e-015,2.553419144e-019},
bhigh={-53402.10230000001,-9.6644405},
R_s=R_NASA_2002/K2I2.MM);
constant IdealGases.Common.DataRecord K2O(
name="K2O",
MM=0.094196,
Hf=-786518.5570512548,
H0=147121.93723725,
Tlimit=1000,
alow={23920.44068,-544.535839,8.82640323,-0.00348142943,3.83454207e-006,-2.268494189e-009,
5.56921225e-013},
blow={-8234.29168,-16.63099064},
ahigh={-46114.6458,-13.63119524,7.01053044,-4.32365826e-006,
9.747788419999999e-010,-1.135283694e-013,5.325860600000001e-018},
bhigh={-11072.22244,-5.76871872},
R_s=R_NASA_2002/K2O.MM);
constant IdealGases.Common.DataRecord K2Oplus(
name="K2Oplus",
MM=0.09419545139999999,
Hf=3910914.12084894,
H0=150093.4576974701,
Tlimit=1000,
alow={7201.10273,-333.65264,8.05073035,-0.001869353797,1.921291874e-006,-1.064020951e-009,
2.457514799e-013},
blow={43899.8636,-10.7320415},
ahigh={-37800.335,-8.84953739,7.00684789,-2.815510856e-006,6.3550015e-010,-7.408551990000001e-014,
3.478334960000001e-018},
bhigh={42145.19680000001,-4.41827661},
R_s=R_NASA_2002/K2Oplus.MM);
constant IdealGases.Common.DataRecord K2O2(
name="K2O2",
MM=0.1101954,
Hf=-1738423.754530588,
H0=147826.5245191723,
Tlimit=1000,
alow={48108.7061,-1003.601504,11.54229002,-0.000454633252,-1.516606209e-006,
1.79942609e-009,-6.12833729e-013},
blow={-20571.5192,-31.8119979},
ahigh={-147607.3073,-102.193204,10.07664713,-3.076517991e-005,
6.81525281e-009,-7.82865445e-013,3.6325061e-017},
bhigh={-25920.56324,-21.62287184},
R_s=R_NASA_2002/K2O2.MM);
constant IdealGases.Common.DataRecord K2O2H2(
name="K2O2H2",
MM=0.11221128,
Hf=-5712438.179120673,
H0=199489.1511798101,
Tlimit=1000,
alow={8174.78837,-1130.63068,18.15303256,-0.00773743108,6.83761401e-006,-2.054691111e-009,
7.67287751e-014},
blow={-75749.6517,-63.9175947},
ahigh={1773523.196,-4665.292469999999,16.94308128,0.0002085297143,-1.264714762e-007,
2.057506565e-011,-1.148042134e-015},
bhigh={-50512.63310000001,-63.3477392},
R_s=R_NASA_2002/K2O2H2.MM);
constant IdealGases.Common.DataRecord K2SO4(
name="K2SO4",
MM=0.1742592,
Hf=-6288627.06244491,
H0=127877.7763240047,
Tlimit=1000,
alow={62714.9231,-815.204992,7.45541372,0.0384990978,-5.40063098e-005,
3.6546568e-008,-9.760223570000001e-012},
blow={-130469.2568,-10.3463477},
ahigh={-544612.564,-959.0667229999999,19.71591285,-0.0002866586009,
6.342480639999999e-008,-7.281462539999999e-012,3.37788693e-016},
bhigh={-133787.3384,-73.99103550999999},
R_s=R_NASA_2002/K2SO4.MM);
constant IdealGases.Common.DataRecord Kr(
name="Kr",
MM=0.0838,
Hf=0,
H0=73954.98806682577,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={-745.375,5.49095651},
ahigh={264.3639057,-0.7910050820000001,2.500920585,-5.32816411e-007,
1.620730161e-010,-2.467898017e-014,1.47858504e-018},
bhigh={-740.348894,5.48439815},
R_s=R_NASA_2002/Kr.MM);
constant IdealGases.Common.DataRecord Krplus(
name="Krplus",
MM=0.08379945139999999,
Hf=16192873.52518396,
H0=73955.472219237,
Tlimit=1000,
alow={-5650.40286,69.3074081,2.157028132,0.0008711228930000001,-1.18160973e-006,
7.86219863e-010,-1.832589387e-013},
blow={162116.4118,8.81824226},
ahigh={-221656.7015,1166.16784,0.486965532,0.001429223599,-3.94962861e-007,
4.98285351e-011,-2.406719258e-015},
bhigh={155600.2861,20.59230986},
R_s=R_NASA_2002/Krplus.MM);
constant IdealGases.Common.DataRecord Li(
name="Li",
MM=0.006941,
Hf=22950583.48941075,
H0=892872.4967583921,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={18413.90197,2.447622965},
ahigh={1125610.652,-3463.53673,6.56661192,-0.002260983356,5.92228916e-007,-6.2816351e-011,
2.884948238e-015},
bhigh={40346.374,-26.55918195},
R_s=R_NASA_2002/Li.MM);
constant IdealGases.Common.DataRecord Liplus(
name="Liplus",
MM=0.0069404514,
Hf=98800407.70835166,
H0=892943.0728381731,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={81727.24550000001,1.754357228},
ahigh={0,0,2.5,0,0,0,0},
bhigh={81727.24550000001,1.754357228},
R_s=R_NASA_2002/Liplus.MM);
constant IdealGases.Common.DataRecord Liminus(
name="Liminus",
MM=0.0069415486,
Hf=13465976.16560662,
H0=892801.9318340579,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={10496.98659,1.754594332},
ahigh={0,0,2.5,0,0,0,0},
bhigh={10496.98659,1.754594332},
R_s=R_NASA_2002/Liminus.MM);
constant IdealGases.Common.DataRecord LiALF4(
name="LiALF4",
MM=0.1099161508,
Hf=-16897315.00313783,
H0=177720.8249908984,
Tlimit=1000,
alow={176152.936,-2999.300134,20.7973957,-0.001742914656,-4.266642090000001e-006,
5.362829770000001e-009,-1.866817087e-012},
blow={-211794.7828,-87.6272589},
ahigh={-402070.0930000001,-278.3355146,16.20791185,-8.316341570000001e-005,
1.83690569e-008,-2.104932808e-012,9.74725302e-017},
bhigh={-227869.6416,-55.9730484},
R_s=R_NASA_2002/LiALF4.MM);
constant IdealGases.Common.DataRecord LiBO2(
name="LiBO2",
MM=0.0497508,
Hf=-13112397.71018758,
H0=269899.6599049664,
Tlimit=1000,
alow={65189.8757,-1060.320845,9.54804996,-5.46957607e-005,2.658687599e-006,
-2.931603694e-009,9.66302973e-013},
blow={-75062.0411,-24.90883998},
ahigh={85544.04520000001,-1731.920898,11.2146209,-0.000465916217,
9.999875689999999e-008,-1.122880592e-011,5.12352946e-016},
bhigh={-71547.4382,-36.1239729},
R_s=R_NASA_2002/LiBO2.MM);
constant IdealGases.Common.DataRecord LiBr(
name="LiBr",
MM=0.08684500000000001,
Hf=-1740605.561632794,
H0=105626.2306407968,
Tlimit=1000,
alow={38056.2047,-612.961499,6.57736955,-0.00421989176,
5.391423370000001e-006,-3.69314481e-009,1.049158761e-012},
blow={-16374.87617,-11.28654012},
ahigh={63801.9142,-259.7050764,4.65676887,0.0001022867706,-5.178252340000001e-008,
2.058203991e-011,-1.942190308e-015},
bhigh={-17933.63752,-0.2290806613},
R_s=R_NASA_2002/LiBr.MM);
constant IdealGases.Common.DataRecord LiCL(
name="LiCL",
MM=0.042394,
Hf=-4570927.277444921,
H0=213712.0583101382,
Tlimit=1000,
alow={49643.995,-718.734662,6.78514703,-0.00452214546,
5.748483700000001e-006,-3.96625567e-009,1.137911398e-012},
blow={-20910.14703,-14.06383901},
ahigh={-235276.9705,612.004692,3.63429373,0.0006810973320000001,-2.174238799e-007,
4.22040361e-011,-2.848628426e-015},
bhigh={-28623.58494,5.618511135},
R_s=R_NASA_2002/LiCL.MM);
constant IdealGases.Common.DataRecord LiF(
name="LiF",
MM=0.0259394032,
Hf=-13143898.93133702,
H0=340335.7406464926,
Tlimit=1000,
alow={29125.3732,-253.1413159,3.53972798,0.00369591704,-4.82946615e-006,
2.944090711e-009,-6.83879474e-013},
blow={-40648.4966,2.325294408},
ahigh={-378424.649,766.806246,3.5854734,0.0006031084350000001,-1.588764206e-007,
2.569397177e-011,-1.406798386e-015},
bhigh={-47564.6945,4.38516329},
R_s=R_NASA_2002/LiF.MM);
constant IdealGases.Common.DataRecord LiH(
name="LiH",
MM=0.00794894,
Hf=17519833.33626873,
H0=1092737.396432732,
Tlimit=1000,
alow={-49137.31570000001,775.6092190000001,-1.011102377,0.01145479597,-1.151038734e-005,
5.87506896e-009,-1.196789735e-012},
blow={12048.5891,25.68801877},
ahigh={-2633686.357,6996.429169999999,-3.23353306,0.00403393598,-9.09957964e-007,
8.775909869999999e-011,-2.889490251e-015},
bhigh={-29900.43016,49.71984499999999},
R_s=R_NASA_2002/LiH.MM);
constant IdealGases.Common.DataRecord LiI(
name="LiI",
MM=0.13384547,
Hf=-637077.1308136167,
H0=69409.2373839772,
Tlimit=1000,
alow={40719.7637,-666.7289470000001,7.06425753,-0.00548004102,
6.90579016e-006,-4.53716852e-009,1.226373296e-012},
blow={-8235.487020000001,-12.96236234},
ahigh={1616342.632,-4877.71708,9.987186550000001,-0.002889137815,
8.03731377e-007,-9.028172610000001e-011,3.078321954e-015},
bhigh={19377.18764,-37.2927631},
R_s=R_NASA_2002/LiI.MM);
constant IdealGases.Common.DataRecord LiN(
name="LiN",
MM=0.0209477,
Hf=15978842.5459597,
H0=429600.7676260401,
Tlimit=1000,
alow={37649.592,-488.345763,5.18737345,0.0002275252171,-1.416337564e-006,
1.450236258e-009,-4.79001433e-013},
blow={41619.1531,-5.952157244},
ahigh={-59934.8998,-40.3113455,4.52962421,8.744156930000001e-005,
2.557428364e-009,-2.9057518e-013,1.336125922e-017},
bhigh={38948.3113,-1.214952896},
R_s=R_NASA_2002/LiN.MM);
constant IdealGases.Common.DataRecord LiNO2(
name="LiNO2",
MM=0.0529465,
Hf=-3815761.343998187,
H0=252496.2367673028,
Tlimit=1000,
alow={-31337.73859,538.9940809999999,-0.02059877081,0.02610777454,-3.20923504e-005,
1.974344044e-008,-4.89219916e-012},
blow={-28382.14963,27.10019529},
ahigh={-219667.116,-861.004271,10.63956465,-0.0002554392587,5.64447854e-008,
-6.47614005e-012,3.003536591e-016},
bhigh={-23135.47535,-32.38277103},
R_s=R_NASA_2002/LiNO2.MM);
constant IdealGases.Common.DataRecord LiNO3(
name="LiNO3",
MM=0.06894589999999999,
Hf=-4519263.291943394,
H0=201829.6229362443,
Tlimit=1000,
alow={19672.05518,90.52795259999999,-0.51097704,0.0375660595,-4.78273865e-005,
3.029277805e-008,-7.70801315e-012},
blow={-39075.6399,27.46873033},
ahigh={-355940.245,-1447.644737,14.06684061,-0.000423637128,
9.320824509999999e-008,-1.065894872e-011,4.93078062e-016},
bhigh={-34348.2746,-52.75382697000001},
R_s=R_NASA_2002/LiNO3.MM);
constant IdealGases.Common.DataRecord LiO(
name="LiO",
MM=0.0229404,
Hf=3178423.785112727,
H0=408105.9179438893,
Tlimit=1000,
alow={36270.2976,-349.936323,4.39493318,0.001079712984,-8.72403881e-007,
5.60796297e-010,-2.054288457e-013},
blow={9533.330530000001,-0.9058149609999999},
ahigh={1612392.133,-5551.31234,11.20573851,-0.00343722688,
9.133194659999999e-007,-1.027902258e-010,3.822991e-015},
bhigh={42015.7547,-48.5735458},
R_s=R_NASA_2002/LiO.MM);
constant IdealGases.Common.DataRecord LiOF(
name="LiOF",
MM=0.0419388032,
Hf=-2194817.042370918,
H0=258170.5288147088,
Tlimit=1000,
alow={55101.10690000001,-577.068817,4.42495493,0.01102425422,-1.710493381e-005,
1.234361201e-008,-3.453693e-012},
blow={-9278.986980000002,0.1238830687},
ahigh={-183356.3281,-211.0049301,7.15681817,-6.24946201e-005,
1.376567002e-008,-1.574099067e-012,7.277167140000001e-017},
bhigh={-12545.30277,-12.72130479},
R_s=R_NASA_2002/LiOF.MM);
constant IdealGases.Common.DataRecord LiOH(
name="LiOH",
MM=0.02394834,
Hf=-9562249.408518503,
H0=473392.3520377612,
Tlimit=1000,
alow={4574.19012,-103.0949027,4.27240737,0.008465219230000001,-1.386148524e-005,
1.101099795e-008,-3.29124821e-012},
blow={-28487.28855,-0.8775745779999999},
ahigh={850075.137,-2430.540791,8.055314620000001,6.895680879999999e-005,-5.527207459999999e-008,
9.368054029999999e-012,-5.31378568e-016},
bhigh={-13658.94396,-24.57598093},
R_s=R_NASA_2002/LiOH.MM);
constant IdealGases.Common.DataRecord LiON(
name="LiON",
MM=0.0369471,
Hf=4869448.48174823,
H0=305869.1751179389,
Tlimit=1000,
alow={-9412.67267,100.93323,3.006187607,0.0098904622,-1.128294343e-005,
6.41029174e-009,-1.466806373e-012},
blow={19783.48318,10.16334813},
ahigh={-97406.29139999999,-511.1560940000001,7.37849387,-0.0001508777884,
3.32991498e-008,-3.81751429e-012,1.769558455e-016},
bhigh={22110.06635,-14.5410504},
R_s=R_NASA_2002/LiON.MM);
constant IdealGases.Common.DataRecord Li2(
name="Li2",
MM=0.013882,
Hf=15552514.04696729,
H0=696954.0412044374,
Tlimit=1000,
alow={6778.481580000001,-224.6205832,5.29603744,-0.001272412017,
1.205843729e-006,-9.81854459e-011,-2.416702607e-013},
blow={25736.38186,-6.86925758},
ahigh={37676454,-118574.7185,148.2167789,-0.0837853211,2.424919798e-005,-3.27582024e-009,
1.652000081e-013},
bhigh={772307.201,-1021.697298},
R_s=R_NASA_2002/Li2.MM);
constant IdealGases.Common.DataRecord Li2plus(
name="Li2plus",
MM=0.0138814514,
Hf=51983859.55520473,
H0=719601.9862879757,
Tlimit=1000,
alow={-10400.56453,26.75405642,4.24727175,0.001057450777,-1.281715096e-006,
1.067477239e-009,-2.759413508e-013},
blow={85298.11309999999,0.529818996},
ahigh={12799310.73,-34928.6139,38.4478536,-0.01380635397,2.53139425e-006,-2.197815991e-010,
7.08766925e-015},
bhigh={311796.445,-250.9543641},
R_s=R_NASA_2002/Li2plus.MM);
constant IdealGases.Common.DataRecord Li2Br2(
name="Li2Br2",
MM=0.17369,
Hf=-2854703.920778398,
H0=97590.39668374689,
Tlimit=1000,
alow={27863.12863,-1005.641437,13.70963066,-0.0076336633,8.94290592e-006,-5.56113509e-009,
1.421736784e-012},
blow={-57628.4584,-41.2184376},
ahigh={-89009.8336,-19.88916335,10.01596418,-6.74913405e-006,
1.556299963e-009,-1.844693069e-013,8.774879919999999e-018},
bhigh={-62799.8996,-19.43063525},
R_s=R_NASA_2002/Li2Br2.MM);
constant IdealGases.Common.DataRecord Li2F2(
name="Li2F2",
MM=0.05187880640000001,
Hf=-18029001.4536649,
H0=265349.7826040963,
Tlimit=1000,
alow={144316.6185,-2466.874678,17.0286329,-0.0114554121,1.086098792e-005,-5.569754279999999e-009,
1.193819664e-012},
blow={-102607.0133,-70.0038661},
ahigh={-218893.1683,-92.5981453,10.06970757,-2.803632163e-005,
6.217549520000001e-009,-7.14626702e-013,3.3168573e-017},
bhigh={-115661.1527,-27.29853181},
R_s=R_NASA_2002/Li2F2.MM);
constant IdealGases.Common.DataRecord Li2I2(
name="Li2I2",
MM=0.26769094,
Hf=-1355299.320178711,
H0=65966.56577170672,
Tlimit=1000,
alow={10148.72266,-712.042101,12.7039296,-0.00568553681,
6.770340380000001e-006,-4.26330489e-009,1.100658186e-012},
blow={-43130.6386,-33.03950980000001},
ahigh={-69735.8706,-13.16825508,10.01074855,-4.60020378e-006,
1.070510527e-009,-1.277717768e-013,6.11061224e-018},
bhigh={-46774.7005,-17.21894034},
R_s=R_NASA_2002/Li2I2.MM);
constant IdealGases.Common.DataRecord Li2O(
name="Li2O",
MM=0.0298814,
Hf=-5600103.074153152,
H0=428095.0691734658,
Tlimit=1000,
alow={26366.01597,-179.8629279,4.05111522,0.01189981375,-1.730095793e-005,
1.20558455e-008,-3.29273388e-012},
blow={-20619.07963,1.60599561},
ahigh={726148.7039999999,-9543.783720000001,28.87491643,-0.01959494099,
8.086339840000001e-006,-1.370211764e-009,8.11172719e-014},
bhigh={29907.26399,-156.4517822},
R_s=R_NASA_2002/Li2O.MM);
constant IdealGases.Common.DataRecord Li2Oplus(
name="Li2Oplus",
MM=0.0298808514,
Hf=14694865.38793871,
H0=436021.3444252797,
Tlimit=1000,
alow={108104.4623,-1261.961355,9.69201129,-0.001793477428,3.3803269e-007,
4.14339515e-010,-1.990530222e-013},
blow={57549.7604,-29.15719946},
ahigh={-130216.6086,-146.6759528,7.61072945,-4.46942669e-005,
9.947160640000001e-009,-1.147038806e-012,5.33924147e-017},
bhigh={50987.6231,-15.28011047},
R_s=R_NASA_2002/Li2Oplus.MM);
constant IdealGases.Common.DataRecord Li2O2(
name="Li2O2",
MM=0.0458808,
Hf=-6089649.439416925,
H0=295287.1789506722,
Tlimit=1000,
alow={139261.973,-1764.036747,10.29649198,0.00760594995,-1.538519312e-005,
1.238199941e-008,-3.68543157e-012},
blow={-26380.56746,-34.3771056},
ahigh={-293923.2153,-235.9107937,10.17463402,-6.931624359999999e-005,
1.521202834e-008,-1.733841909e-012,7.99315462e-017},
bhigh={-36184.8191,-29.04221044},
R_s=R_NASA_2002/Li2O2.MM);
constant IdealGases.Common.DataRecord Li2O2H2(
name="Li2O2H2",
MM=0.04789668,
Hf=-15387287.80366405,
H0=325263.4629373059,
Tlimit=1000,
alow={189441.3579,-2779.117524,15.30234911,0.01070738317,-2.510075145e-005,
2.224910575e-008,-6.94935958e-012},
blow={-77027.7692,-65.1411694},
ahigh={1215377.492,-3982.05744,15.85877373,0.000750914568,-2.585218184e-007,
3.6468417e-011,-1.904139406e-015},
bhigh={-67387.4838,-66.472084},
R_s=R_NASA_2002/Li2O2H2.MM);
constant IdealGases.Common.DataRecord Li2SO4(
name="Li2SO4",
MM=0.1099446,
Hf=-9475826.916465202,
H0=178749.4610922228,
Tlimit=1000,
alow={100631.8702,-1543.457217,9.670054909999999,0.0339075738,-4.82348381e-005,
3.26736892e-008,-8.702518510000001e-012},
blow={-120193.9538,-29.11716635},
ahigh={-603875.0870000001,-1064.550976,19.79557349,-0.000318897825,
7.062411120000001e-008,-8.11443907e-012,3.76683021e-016},
bhigh={-126890.8595,-80.14316674},
R_s=R_NASA_2002/Li2SO4.MM);
constant IdealGases.Common.DataRecord Li3plus(
name="Li3plus",
MM=0.0208224514,
Hf=36335339.26749855,
H0=638224.9978501572,
Tlimit=1000,
alow={-6873.222290000001,-282.0780467,7.92269748,-0.001687949474,
1.771718993e-006,-9.972535399999999e-010,2.332934849e-013},
blow={90279.63650000001,-16.19319856},
ahigh={-43550.9806,-6.05643275,7.00472289,-1.953320933e-006,
4.429152229999999e-010,-5.18198319e-014,2.439894871e-018},
bhigh={88799.02870000001,-10.66880792},
R_s=R_NASA_2002/Li3plus.MM);
constant IdealGases.Common.DataRecord Li3Br3(
name="Li3Br3",
MM=0.260535,
Hf=-3165176.245034256,
H0=99935.92799431937,
Tlimit=1000,
alow={64319.66250000001,-1823.743601,22.43492856,-0.0127941826,
1.459200355e-005,-8.884688150000001e-009,2.23370805e-012},
blow={-94806.7767,-82.06864420000001},
ahigh={-158467.0201,-40.4136094,16.03177633,-1.322713911e-005,
3.014221791e-009,-3.54029216e-013,1.672030783e-017},
bhigh={-104247.0448,-44.05478160000001},
R_s=R_NASA_2002/Li3Br3.MM);
constant IdealGases.Common.DataRecord Li3CL3(
name="Li3CL3",
MM=0.127182,
Hf=-7674884.189586578,
H0=193113.3808243305,
Tlimit=1000,
alow={98674.28999999999,-2324.074851,23.78484564,-0.014835224,
1.634495612e-005,-9.675366520000001e-009,2.377033859e-012},
blow={-110383.9177,-94.74114379},
ahigh={-200593.0356,-59.3940019,16.04590929,-1.885890854e-005,
4.25351737e-009,-4.95556094e-013,2.325408214e-017},
bhigh={-122492.7071,-48.44413629},
R_s=R_NASA_2002/Li3CL3.MM);
constant IdealGases.Common.DataRecord Li3F3(
name="Li3F3",
MM=0.07781820960000001,
Hf=-19591775.93312298,
H0=263906.5342875737,
Tlimit=1000,
alow={182387.4443,-3163.78624,22.87811928,-0.007544903889999999,
3.44679023e-006,2.690705228e-010,-5.25084096e-013},
blow={-171244.6093,-99.7365499},
ahigh={-361866.499,-193.7051395,16.14457133,-5.7756285e-005,
1.274057038e-008,-1.458168875e-012,6.744850030000001e-017},
bhigh={-188208.1974,-56.3361288},
R_s=R_NASA_2002/Li3F3.MM);
constant IdealGases.Common.DataRecord Li3I3(
name="Li3I3",
MM=0.40153641,
Hf=-1525284.611176356,
H0=67821.2319525395,
Tlimit=1000,
alow={36117.6469,-1392.033487,21.10791892,-0.01046866587,1.222589173e-005,-7.58413543e-009,
1.93519918e-012},
blow={-71530.8458,-70.9388203},
ahigh={-126669.6511,-27.83891914,16.02228068,-9.399364930000001e-006,
2.163919735e-009,-2.561731922e-013,1.217394107e-017},
bhigh={-78695.5068,-40.9172406},
R_s=R_NASA_2002/Li3I3.MM);
constant IdealGases.Common.DataRecord Mg(
name="Mg",
MM=0.024305,
Hf=6052252.622917095,
H0=254985.7231022423,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={16946.58761,3.63433014},
ahigh={-536483.155,1973.709576,-0.36337769,0.002071795561,-7.738051719999999e-007,
1.359277788e-010,-7.766898397000001e-015},
bhigh={4829.188109999999,23.39104998},
R_s=R_NASA_2002/Mg.MM);
constant IdealGases.Common.DataRecord Mgplus(
name="Mgplus",
MM=0.0243044514,
Hf=36661884.90886899,
H0=254991.4786391763,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={106422.3354,4.32744346},
ahigh={-19147.58821,48.7734792,2.457662661,1.218104674e-005,
1.897261686e-009,-1.580433756e-012,2.135732238e-016},
bhigh={106102.2394,4.64644286},
R_s=R_NASA_2002/Mgplus.MM);
constant IdealGases.Common.DataRecord MgBr(
name="MgBr",
MM=0.104209,
Hf=59143.78796457119,
H0=92008.51174082852,
Tlimit=1000,
alow={7361.41914,-239.5789881,5.36056042,-0.001667141829,1.981137765e-006,-1.201637202e-009,
3.032148099e-013},
blow={591.563444,-1.421771179},
ahigh={24776.04216,-641.7687520000001,6.01993209,-0.001391004302,
6.44333096e-007,-1.197734078e-010,7.421644240000001e-015},
bhigh={2824.060334,-6.26443992},
R_s=R_NASA_2002/MgBr.MM);
constant IdealGases.Common.DataRecord MgBr2(
name="MgBr2",
MM=0.184113,
Hf=-1666059.534090477,
H0=80153.38949449523,
Tlimit=1000,
alow={21484.77999,-515.45289,9.27325875,-0.00347004904,3.92184079e-006,-2.377174864e-009,
5.967025559999999e-013},
blow={-36524.4385,-17.91077763},
ahigh={-43268.9901,-12.83036001,7.5100243,-4.1523324e-006,9.42649918e-010,-1.103873928e-013,
5.20110431e-018},
bhigh={-39198.8602,-7.40916803},
R_s=R_NASA_2002/MgBr2.MM);
constant IdealGases.Common.DataRecord MgCL(
name="MgCL",
MM=0.05975800000000001,
Hf=-915440.3929181029,
H0=156683.8414940259,
Tlimit=1000,
alow={20439.9528,-407.215516,5.8803723,-0.002594175042,2.945953528e-006,-1.750648628e-009,
4.337959330000001e-013},
blow={-5851.44495,-6.02354575},
ahigh={1041328.453,-3380.15833,8.637775469999999,-0.002447789643,
7.84196944e-007,-1.12640938e-010,5.81062073e-015},
bhigh={13271.88977,-27.03802395},
R_s=R_NASA_2002/MgCL.MM);
constant IdealGases.Common.DataRecord MgCLplus(
name="MgCLplus",
MM=0.0597574514,
Hf=10816045.81282394,
H0=159239.2543032717,
Tlimit=1000,
alow={8182.385119999999,-262.225376,5.41986343,-0.001774129606,
2.185811127e-006,-1.418143432e-009,3.91889858e-013},
blow={77704.0371,-3.78093884},
ahigh={-12683919.21,34788.2454,-30.0422295,0.01481739497,-2.470965605e-006,
1.424433718e-010,2.789613105e-016},
bhigh={-148701.374,255.2015117},
R_s=R_NASA_2002/MgCLplus.MM);
constant IdealGases.Common.DataRecord MgCL2(
name="MgCL2",
MM=0.095211,
Hf=-4192476.667611936,
H0=145997.8783964038,
Tlimit=1000,
alow={36378.2468,-730.784496,9.66103051,-0.00366021294,3.61081935e-006,-1.928769286e-009,
4.309912350000001e-013},
blow={-46469.1457,-23.60112274},
ahigh={-68352.1701,-24.90899393,7.5187832,-7.56451826e-006,1.67929377e-009,
-1.931706275e-013,8.971657820000001e-018},
bhigh={-50326.8691,-10.53268382},
R_s=R_NASA_2002/MgCL2.MM);
constant IdealGases.Common.DataRecord MgF(
name="MgF",
MM=0.0433034032,
Hf=-5363707.580377886,
H0=207122.473921403,
Tlimit=1000,
alow={38230.0162,-480.331039,5.06846894,0.00052120293,-1.874026347e-006,
1.759241129e-009,-5.60940319e-013},
blow={-26591.14296,-3.76896921},
ahigh={-169588.3782,358.875763,3.93600165,0.000481304414,-1.658385409e-007,
3.33605229e-011,-2.270104205e-015},
bhigh={-31693.2399,4.4105659},
R_s=R_NASA_2002/MgF.MM);
constant IdealGases.Common.DataRecord MgFplus(
name="MgFplus",
MM=0.0433028546,
Hf=11936113.21411591,
H0=207131.2638128019,
Tlimit=1000,
alow={641329.384,-8518.53261,48.1421691,-0.1163071535,0.0001622560562,-1.06348459e-007,
2.634809398e-011},
blow={102430.848,-245.0074295},
ahigh={-10568523.62,20771.22379,-6.11952356,0.002245834831,-9.51573861e-008,
-2.263502341e-011,2.284524246e-015},
bhigh={-83315.4988,87.2710238},
R_s=R_NASA_2002/MgFplus.MM);
constant IdealGases.Common.DataRecord MgF2(
name="MgF2",
MM=0.0623018064,
Hf=-11805405.05162624,
H0=202601.5091594519,
Tlimit=1000,
alow={43384.2955,-661.651177,7.45344852,0.00352081405,-6.95576458e-006,
5.61992348e-009,-1.688028906e-012},
blow={-86871.8367,-15.4547679},
ahigh={-124441.9584,-86.87343749999999,7.56358123,-2.499267978e-005,
5.44012914e-009,-6.15824576e-013,2.822792666e-017},
bhigh={-90600.19439999999,-14.2079699},
R_s=R_NASA_2002/MgF2.MM);
constant IdealGases.Common.DataRecord MgF2plus(
name="MgF2plus",
MM=0.0623012578,
Hf=9352815.409771709,
H0=199274.6926531554,
Tlimit=1000,
alow={78322.2026,-1176.632752,10.25829767,-0.00375527289,3.016621585e-006,-1.327098871e-009,
2.465289749e-013},
blow={74132.2855,-29.90883551},
ahigh={-150231.687,77.2528956,7.27156936,0.000223752977,-1.003070865e-007,
1.996274309e-011,-1.233278721e-015},
bhigh={66991.175,-10.94528006},
R_s=R_NASA_2002/MgF2plus.MM);
constant IdealGases.Common.DataRecord MgH(
name="MgH",
MM=0.02531294,
Hf=9077811.743716849,
H0=342990.7391239421,
Tlimit=1000,
alow={-49586.7915,750.027865,-0.64420475,0.00982630101,-8.789822439999999e-006,
3.82335352e-009,-6.00372576e-013},
blow={23022.79383,26.57165344},
ahigh={-100574.8598,1952.890106,-1.317191549,0.0056036658,-2.13733498e-006,
3.3248805e-010,-1.824672746e-014},
bhigh={15985.82755,34.3123316},
R_s=R_NASA_2002/MgH.MM);
constant IdealGases.Common.DataRecord MgI(
name="MgI",
MM=0.15120947,
Hf=404778.3316745968,
H0=64421.34212890238,
Tlimit=1000,
alow={2943.889099,-169.0248574,5.14725183,-0.001321186997,1.623056505e-006,
-1.005114222e-009,2.567337785e-013},
blow={6845.89027,0.859313225},
ahigh={-2370562.811,6916.45248,-3.18389449,0.00405155114,-9.774290750000001e-007,
1.0233294e-010,-3.79030487e-015},
bhigh={-38185.5111,59.9310438},
R_s=R_NASA_2002/MgI.MM);
constant IdealGases.Common.DataRecord MgI2(
name="MgI2",
MM=0.27811394,
Hf=-617394.5434018878,
H0=54993.54329380253,
Tlimit=1000,
alow={15947.39709,-416.041272,9.01063832,-0.003090359024,3.62126426e-006,-2.260138392e-009,
5.80905555e-013},
blow={-20804.414,-14.12175736},
ahigh={-33402.9918,-9.34351178,7.50746854,-3.14770789e-006,
7.241336470000001e-010,-8.56766495e-014,4.0696917e-018},
bhigh={-22945.55505,-5.24127259},
R_s=R_NASA_2002/MgI2.MM);
constant IdealGases.Common.DataRecord MgN(
name="MgN",
MM=0.0383117,
Hf=7535452.616302591,
H0=234624.9579110298,
Tlimit=1000,
alow={37595.3864,-485.316428,5.16305424,0.0002591539493,-1.518993975e-006,
1.522840476e-009,-4.992531450000001e-013},
blow={36072.9461,-3.813908776},
ahigh={-60185.891,-40.1086478,4.52949895,4.76049091e-005,2.547271298e-009,-2.894058118e-013,
1.330639131e-017},
bhigh={33412.857,0.7925250209},
R_s=R_NASA_2002/MgN.MM);
constant IdealGases.Common.DataRecord MgO(
name="MgO",
MM=0.0403044,
Hf=800441.3165808199,
H0=221045.5186034279,
Tlimit=1000,
alow={351365.974,-5287.19716,33.8206006,-0.08400489629999999,0.000121001616,
-7.630795020000001e-008,1.701022862e-011},
blow={27906.79519,-162.4886199},
ahigh={-15867383.67,34204.681,-17.74087677,0.00700496305,-1.104138249e-006,
8.957488529999999e-011,-3.052513649e-015},
bhigh={-230050.4434,173.8984472},
R_s=R_NASA_2002/MgO.MM);
constant IdealGases.Common.DataRecord MgOH(
name="MgOH",
MM=0.04131234,
Hf=-3205555.047232862,
H0=269272.6676823439,
Tlimit=1000,
alow={38398.5162,-736.7383640000001,7.92066446,-0.000595094059,-2.112941162e-006,
3.22828211e-009,-1.214159329e-012},
blow={-13923.26188,-19.16078109},
ahigh={664866.475,-1770.750355,7.26999927,0.000533684276,-1.980894443e-007,
3.025677088e-011,-1.554849476e-015},
bhigh={-6149.11456,-16.71027009},
R_s=R_NASA_2002/MgOH.MM);
constant IdealGases.Common.DataRecord MgOHplus(
name="MgOHplus",
MM=0.0413117914,
Hf=14905414.38975217,
H0=246621.3556645719,
Tlimit=1000,
alow={117022.4573,-1735.933343,11.64059613,-0.008449876219999999,
7.35171374e-006,-2.790223071e-009,3.51498213e-013},
blow={81188.07670000001,-42.7117437},
ahigh={829633.954,-2459.700177,8.11873202,3.5005791e-005,-4.67057475e-008,
8.312358260000001e-012,-4.80283622e-016},
bhigh={88016.61709999999,-24.38155217},
R_s=R_NASA_2002/MgOHplus.MM);
constant IdealGases.Common.DataRecord Mg_OH_2(
name="Mg_OH_2",
MM=0.05831968,
Hf=-9465000.631004833,
H0=293752.6063243146,
Tlimit=1000,
alow={52458.9467,-1289.056383,13.89327642,-0.000780669367,-4.15125723e-006,
6.10947304e-009,-2.274138833e-012},
blow={-62950.8915,-50.1535334},
ahigh={1713709.254,-4730.00535,14.48925967,0.0001907819857,-1.226834131e-007,
2.015343753e-011,-1.128993279e-015},
bhigh={-38877.2467,-58.4049812},
R_s=R_NASA_2002/Mg_OH_2.MM);
constant IdealGases.Common.DataRecord MgS(
name="MgS",
MM=0.05637,
Hf=2140310.643959553,
H0=163812.5066524748,
Tlimit=1000,
alow={-9565.78809,144.3637798,1.813794717,0.01147168775,-2.220170412e-005,
1.995344981e-008,-6.09068874e-012},
blow={12765.01517,14.61333093},
ahigh={26507943.28,-77113.5586,84.63771680000001,-0.0364425068,
8.403084420000002e-006,-9.53988217e-010,4.264658029999999e-014},
bhigh={507893.117,-583.4656096},
R_s=R_NASA_2002/MgS.MM);
constant IdealGases.Common.DataRecord Mg2(
name="Mg2",
MM=0.04861,
Hf=5894122.917095248,
H0=196299.423986834,
Tlimit=1000,
alow={4545.195589999999,411.585004,0.484119617,0.00489196965,-6.39553684e-006,
4.29976455e-009,-1.164624418e-012},
blow={31816.4179,26.40432143},
ahigh={30382.24994,59.4524046,2.352706666,0.0001378537924,-5.89569204e-008,
1.104045317e-011,-6.558868290000001e-016},
bhigh={33510.3656,15.88177377},
R_s=R_NASA_2002/Mg2.MM);
constant IdealGases.Common.DataRecord Mg2F4(
name="Mg2F4",
MM=0.1246036128,
Hf=-13790683.60367798,
H0=169684.5984228156,
Tlimit=1000,
alow={151195.6137,-3122.595912,25.17715088,-0.01558723757,1.552195619e-005,
-8.40872905e-009,1.911618525e-012},
blow={-195307.8883,-108.5103537},
ahigh={-298061.0166,-120.1299868,16.09110864,-3.68745629e-005,
8.22031705e-009,-9.48886978e-013,4.41979533e-017},
bhigh={-211734.969,-53.08655469999999},
R_s=R_NASA_2002/Mg2F4.MM);
constant IdealGases.Common.DataRecord Mn(
name="Mn",
MM=0.054938049,
Hf=5140335.434918703,
H0=112807.5734906421,
Tlimit=1000,
alow={0.1034061359,-0.001551537349,2.500009148,-2.723162066e-008,
4.33389743e-011,-3.51109389e-014,1.136032201e-017},
blow={33219.3519,6.649325463},
ahigh={5855.15582,883.8588440000001,-0.0364866258,0.002703720687,-1.324971998e-006,
2.87260329e-010,-1.92363357e-014},
bhigh={28678.03487,22.92541198},
R_s=R_NASA_2002/Mn.MM);
constant IdealGases.Common.DataRecord Mnplus(
name="Mnplus",
MM=0.0549375004,
Hf=18309375.57544937,
H0=112808.6999749992,
Tlimit=1000,
alow={345.80177,-4.25115133,2.521281028,-5.56508728e-005,8.03716221e-008,-6.09355097e-011,
1.900014268e-014},
blow={120253.3602,6.683468162},
ahigh={647131.41,-2403.796253,5.93771575,-0.002341014594,7.46416564e-007,-9.075969730000001e-011,
4.467879847e-015},
bhigh={134990.2108,-17.02666341},
R_s=R_NASA_2002/Mnplus.MM);
constant IdealGases.Common.DataRecord Mo(
name="Mo",
MM=0.09594,
Hf=6863664.790494058,
H0=64596.91473837815,
Tlimit=1000,
alow={76.46367910000001,-1.159269043,2.506929462,-2.099249725e-005,
3.41477943e-008,-2.841269591e-011,9.492443320999999e-015},
blow={78458.99799999999,7.60183566},
ahigh={5573271,-16623.65811,21.35147077,-0.01003069377,2.409784357e-006,-1.811267352e-010,
1.034189087e-015},
bhigh={184264.6473,-127.5326434},
R_s=R_NASA_2002/Mo.MM);
constant IdealGases.Common.DataRecord Moplus(
name="Moplus",
MM=0.0959394514,
Hf=14061086.53233346,
H0=64597.28411580224,
Tlimit=1000,
alow={129.8236623,-1.560279908,2.507600281,-1.923789063e-005,
2.673316651e-008,-1.937174292e-011,5.729735412e-015},
blow={161510.3759,7.44254346},
ahigh={12988911.2,-39482.7623,48.6659978,-0.02605352326,7.21543192e-006,-8.719164960000001e-010,
3.78842304e-014},
bhigh={411894.857,-321.679103},
R_s=R_NASA_2002/Moplus.MM);
constant IdealGases.Common.DataRecord Mominus(
name="Mominus",
MM=0.0959405486,
Hf=6048794.138331621,
H0=64596.54536517837,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={69051.2369,7.48565954},
ahigh={0,0,2.5,0,0,0,0},
bhigh={69051.2369,7.48565954},
R_s=R_NASA_2002/Mominus.MM);
constant IdealGases.Common.DataRecord MoO(
name="MoO",
MM=0.1119394,
Hf=3198206.556404626,
H0=91595.30067161338,
Tlimit=1000,
alow={-28011.52706,513.988348,1.075385931,0.008681048470000001,-1.111118984e-005,
7.23434933e-009,-1.893138381e-012},
blow={39413.7408,22.72230239},
ahigh={1573131.992,-5241.48358,11.02656868,-0.00390299662,1.147334134e-006,
-1.358975691e-010,5.77526858e-015},
bhigh={74489.72,-42.5361293},
R_s=R_NASA_2002/MoO.MM);
constant IdealGases.Common.DataRecord MoO2(
name="MoO2",
MM=0.1279388,
Hf=-121605.6348816778,
H0=83688.64644658228,
Tlimit=1000,
alow={32471.8322,-190.4783783,2.120771647,0.01650280086,-2.381696822e-005,
1.652371586e-008,-4.49445243e-012},
blow={-1862.932837,16.40582056},
ahigh={309614.3654,-1932.750274,9.428673180000001,-0.001630508855,
5.752760170000001e-007,-7.59045747e-011,3.46133778e-015},
bhigh={7327.72518,-25.33315948},
R_s=R_NASA_2002/MoO2.MM);
constant IdealGases.Common.DataRecord MoO3(
name="MoO3",
MM=0.1439382,
Hf=-2531727.99854382,
H0=91655.89815629208,
Tlimit=1000,
alow={59773.8536,-768.455783,5.88184444,0.01686119817,-2.582485043e-005,
1.850382718e-008,-5.15224985e-012},
blow={-41558.7239,-6.52916216},
ahigh={-409759.727,237.9066513,9.3111008,0.000657933891,-2.895307725e-007,
5.69263726e-011,-3.48965731e-015},
bhigh={-49237.38720000001,-21.14864892},
R_s=R_NASA_2002/MoO3.MM);
constant IdealGases.Common.DataRecord MoO3minus(
name="MoO3minus",
MM=0.1439387486,
Hf=-4552231.469101435,
H0=94207.31479111943,
Tlimit=1000,
alow={182161.7352,-2224.65697,13.20405967,-0.001249800352,-1.864166983e-006,
2.27657947e-009,-7.366564570000001e-013},
blow={-69389.86,-46.9937721},
ahigh={-488109.872,18.48536991,10.42644941,-0.000626555791,3.020554347e-007,
-4.73319589e-011,2.527517727e-015},
bhigh={-83378.155,-27.01522825},
R_s=R_NASA_2002/MoO3minus.MM);
constant IdealGases.Common.DataRecord Mo2O6(
name="Mo2O6",
MM=0.2878764,
Hf=-3992848.364784332,
H0=89495.00202170099,
Tlimit=1000,
alow={156837.5811,-2159.930184,15.22500503,0.031941989,-5.06387715e-005,
3.68937182e-008,-1.037872908e-011},
blow={-130993.1161,-54.089185},
ahigh={-631223.816,-664.282755,22.4938357,-0.0001968470329,4.33674061e-008,
-4.959777990000001e-012,2.293212733e-016},
bhigh={-143057.325,-86.69628539999999},
R_s=R_NASA_2002/Mo2O6.MM);
constant IdealGases.Common.DataRecord Mo3O9(
name="Mo3O9",
MM=0.4318146,
Hf=-4404740.712796649,
H0=94448.21689678858,
Tlimit=1000,
alow={148338.6187,-1863.895133,17.38405871,0.0623301232,-9.32844135e-005,
6.61363879e-008,-1.830607518e-011},
blow={-224894.5631,-58.2666947},
ahigh={-923029.054,-1076.171759,34.8000726,-0.00031896338,7.02839704e-008,-8.03964264e-012,
3.71787953e-016},
bhigh={-235742.2166,-144.8769485},
R_s=R_NASA_2002/Mo3O9.MM);
constant IdealGases.Common.DataRecord Mo4O12(
name="Mo4O12",
MM=0.5757528,
Hf=-4560163.273196414,
H0=95342.7408429451,
Tlimit=1000,
alow={223487.6437,-2996.203728,26.82458827,0.0759734572,-0.0001155247012,
8.25647257e-008,-2.296764551e-011},
blow={-308461.9476,-106.5236386},
ahigh={-1225283.388,-1368.141197,47.0168781,-0.00040529102,
8.928472389999999e-008,-1.021091158e-011,4.721091689999999e-016},
bhigh={-325647.777,-204.7486535},
R_s=R_NASA_2002/Mo4O12.MM);
constant IdealGases.Common.DataRecord Mo5O15(
name="Mo5O15",
MM=0.7196910000000001,
Hf=-4625746.934448255,
H0=95759.62739564618,
Tlimit=1000,
alow={276890.3251,-3757.9331,34.0819776,0.09485414959999999,-0.00014426721,
1.0311639e-007,-2.868600013e-011},
blow={-391350.703,-142.6449143},
ahigh={-1535389.516,-1710.367122,59.2712578,-0.0005066836290000001,
1.116223706e-007,-1.276562233e-011,5.90231891e-016},
bhigh={-412897.2380000001,-265.1287167},
R_s=R_NASA_2002/Mo5O15.MM);
constant IdealGases.Common.DataRecord N(
name="N",
MM=0.0140067,
Hf=33746706.93311058,
H0=442461.6790535958,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={56104.6378,4.193905036},
ahigh={88765.0138,-107.12315,2.362188287,0.0002916720081,-1.7295151e-007,
4.01265788e-011,-2.677227571e-015},
bhigh={56973.5133,4.865231506},
R_s=R_NASA_2002/N.MM);
constant IdealGases.Common.DataRecord Nplus(
name="Nplus",
MM=0.0140061514,
Hf=134378643.3723685,
H0=508099.891023597,
Tlimit=1000,
alow={5237.07921,2.299958315,2.487488821,2.737490756e-005,-3.134447576e-008,
1.850111332e-011,-4.447350984e-015},
blow={225628.4738,5.076830786},
ahigh={290497.0374,-855.7908610000001,3.47738929,-0.000528826719,
1.352350307e-007,-1.389834122e-011,5.046166279e-016},
bhigh={231080.9984,-1.994146545},
R_s=R_NASA_2002/Nplus.MM);
constant IdealGases.Common.DataRecord Nminus(
name="Nminus",
MM=0.0140072486,
Hf=33806606.74502486,
H0=463927.2983275246,
Tlimit=1000,
alow={1445.682471,7.33520511,2.476680939,4.22786918e-005,-4.42629332e-008,
2.490985431e-011,-5.83160809e-015},
blow={56176.25,5.145753977},
ahigh={2404.189576,0.2954965336,2.499789368,8.30756497e-008,-1.82994277e-011,
2.100136461e-015,-9.754986710000001e-020},
bhigh={56214.13890000001,5.006484157},
R_s=R_NASA_2002/Nminus.MM);
constant IdealGases.Common.DataRecord NCO(
name="NCO",
MM=0.04201680000000001,
Hf=3137964.837874374,
H0=242718.2698349232,
Tlimit=1000,
alow={11365.03036,-244.4613367,4.6713761,0.002309387548,2.798649599e-006,-4.54635738e-009,
1.692880931e-012},
blow={15776.49188,-0.2171476903},
ahigh={108944.5289,-1735.459316,8.65561033,-0.000405322926,7.59971641e-008,
-7.25380415e-012,3.24487241e-016},
bhigh={23657.92776,-26.1953297},
R_s=R_NASA_2002/NCO.MM);
constant IdealGases.Common.DataRecord ND(
name="ND",
MM=0.016020802,
Hf=22204805.78937309,
H0=539798.1948718922,
Tlimit=1000,
alow={22901.55757,-395.738851,6.17901033,-0.00884780697,1.44158297e-005,-1.006647227e-008,
2.654403586e-012},
blow={43559.13430000001,-11.80414072},
ahigh={543965.796,-2084.583507,5.83408972,-0.000418939336,
9.768929529999999e-008,-1.056317654e-011,4.68307921e-016},
bhigh={54666.3341,-14.80810939},
R_s=R_NASA_2002/ND.MM);
constant IdealGases.Common.DataRecord ND2(
name="ND2",
MM=0.018034904,
Hf=10248824.72343629,
H0=552391.3517920583,
Tlimit=1000,
alow={19352.22164,-213.0631713,4.8440176,-0.002516949288,7.61638154e-006,-5.46450177e-009,
1.292736999e-012},
blow={22119.98374,-3.171712417},
ahigh={1631308.357,-6564.63749,12.80547961,-0.003094456779,
9.181660230000001e-007,-1.241119284e-010,6.22629986e-015},
bhigh={61089.2958,-61.24502693},
R_s=R_NASA_2002/ND2.MM);
constant IdealGases.Common.DataRecord ND3(
name="ND3",
MM=0.020049006,
Hf=-2730913.742057836,
H0=510449.2462120068,
Tlimit=1000,
alow={10451.2037,161.0166943,0.857496323,0.01319688794,-1.153090144e-005,
7.14249556e-009,-2.109194351e-012},
blow={-8220.948899999999,16.75921299},
ahigh={2599516.958,-10134.20124,17.98028169,-0.0035826098,1.009922e-006,-1.537638609e-010,
9.106175650000001e-015},
bhigh={53972.0566,-98.10988569},
R_s=R_NASA_2002/ND3.MM);
constant IdealGases.Common.DataRecord NF(
name="NF",
MM=0.0330051032,
Hf=7059226.525914937,
H0=264750.1190058391,
Tlimit=1000,
alow={-35049.2775,667.450299,-1.201665982,0.01452074253,-1.822873148e-005,
1.160136864e-008,-2.973416333e-012},
blow={23954.14002,30.89260431},
ahigh={800298.733,-3237.69658,8.703408870000001,-0.002701025798,
9.15004211e-007,-1.36525663e-010,7.23462441e-015},
bhigh={46428.19450000001,-30.19933248},
R_s=R_NASA_2002/NF.MM);
constant IdealGases.Common.DataRecord NF2(
name="NF2",
MM=0.0520035064,
Hf=661906.270997142,
H0=203478.6831220289,
Tlimit=1000,
alow={15118.31104,91.9638994,0.494730179,0.02001847323,-2.767712684e-005,
1.872924867e-008,-5.020318040000001e-012},
blow={2839.279606,22.7051567},
ahigh={-194501.0078,-353.603407,7.26349436,-8.4023804e-005,2.326721111e-008,
-2.667577562e-012,1.236070614e-016},
bhigh={3435.44059,-13.36102511},
R_s=R_NASA_2002/NF2.MM);
constant IdealGases.Common.DataRecord NF3(
name="NF3",
MM=0.07100190960000001,
Hf=-1854879.689038673,
H0=166960.4531312493,
Tlimit=1000,
alow={87571.49280000001,-903.1832890000001,4.02741727,0.02314439555,-3.41510647e-005,
2.409483651e-008,-6.63346419e-012},
blow={-12372.32074,0.3026430713},
ahigh={-349626.876,-497.372867,10.36866128,8.90068765e-005,5.88265436e-008,
-3.157737664e-012,1.714329953e-016},
bhigh={-17131.83352,-30.98920858},
R_s=R_NASA_2002/NF3.MM);
constant IdealGases.Common.DataRecord NH(
name="NH",
MM=0.01501464,
Hf=23778925.16903503,
H0=572847.7672458348,
Tlimit=1000,
alow={13596.5132,-190.0296604,4.51849679,-0.002432776899,2.377587464e-006,-2.592797084e-010,
-2.659680792e-013},
blow={42809.7219,-3.886561616},
ahigh={1958141.991,-5782.861300000001,9.33574202,-0.002292910311,
6.07609248e-007,-6.647942750000001e-011,2.384234783e-015},
bhigh={78989.1234,-41.169704},
R_s=R_NASA_2002/NH.MM);
constant IdealGases.Common.DataRecord NHplus(
name="NHplus",
MM=0.0150140914,
Hf=110948299.8085385,
H0=632413.493899471,
Tlimit=1000,
alow={4253.656849999999,-245.8222206,6.70891949,-0.0103848943,
1.509008623e-005,-9.58051219e-009,2.333206758e-012},
blow={200107.7797,-13.95057632},
ahigh={1405709.438,-4136.21571,7.63201448,-0.001228325778,2.721187746e-007,
-2.010098289e-011,3.71719018e-017},
bhigh={225897.596,-27.86785234},
R_s=R_NASA_2002/NHplus.MM);
constant IdealGases.Common.DataRecord NHF(
name="NHF",
MM=0.0340130432,
Hf=3292854.43062031,
H0=294878.8775242552,
Tlimit=1000,
alow={-51106.59820000001,961.225643,-2.706446594,0.0203656268,-2.425558952e-005,
1.551553017e-008,-4.05845826e-012},
blow={7909.62834,40.99317124},
ahigh={901390.2720000001,-3463.39705,8.705804860000001,-0.0004018963409999999,
2.322774501e-008,6.28048733e-012,-6.28309569e-016},
bhigh={33370.6534,-29.00483634},
R_s=R_NASA_2002/NHF.MM);
constant IdealGases.Common.DataRecord NHF2(
name="NHF2",
MM=0.0530114464,
Hf=-1942976.602124933,
H0=203869.9136494416,
Tlimit=1000,
alow={-56261.1342,1205.756556,-6.01752942,0.0376002769,-4.6191986e-005,
2.94247557e-008,-7.59873236e-012},
blow={-18970.14374,59.01714907},
ahigh={739427.899,-4004.47177,12.2132232,-0.000697043773,1.271073981e-007,-1.247136898e-011,
5.08651759e-016},
bhigh={9134.195979999999,-48.67843963},
R_s=R_NASA_2002/NHF2.MM);
constant IdealGases.Common.DataRecord NH2(
name="NH2",
MM=0.01602258,
Hf=11804260.79944678,
H0=620241.371863957,
Tlimit=1000,
alow={-31182.40659,475.424339,1.372395176,0.006306429719999999,-5.98789356e-006,
4.49275234e-009,-1.414073548e-012},
blow={19289.39662,15.40126885},
ahigh={2111053.74,-6880.62723,11.32305924,-0.001829236741,5.64389009e-007,-7.88645248e-011,
4.078593449999999e-015},
bhigh={65037.7856,-53.59155744},
R_s=R_NASA_2002/NH2.MM);
constant IdealGases.Common.DataRecord NH2F(
name="NH2F",
MM=0.0350209832,
Hf=-2141573.226876166,
H0=288540.6141310162,
Tlimit=1000,
alow={-109237.476,1844.91978,-7.6738716,0.0322953344,-3.38810867e-005,
1.97187155e-008,-4.81020515e-012},
blow={-18783.1896,68.61483738999999},
ahigh={1927205.34,-7500.447160000001,13.9558958,-0.00118480442,
2.05067867e-007,-1.90876131e-011,7.38923621e-016},
bhigh={35529.2734,-67.31185490999999},
R_s=R_NASA_2002/NH2F.MM);
constant IdealGases.Common.DataRecord NH3(
name="NH3",
MM=0.01703052,
Hf=-2697510.117130892,
H0=589713.1150428759,
Tlimit=1000,
alow={-76812.26149999999,1270.951578,-3.89322913,0.02145988418,-2.183766703e-005,
1.317385706e-008,-3.33232206e-012},
blow={-12648.86413,43.66014588},
ahigh={2452389.535,-8040.89424,12.71346201,-0.000398018658,3.55250275e-008,
2.53092357e-012,-3.32270053e-016},
bhigh={43861.91959999999,-64.62330602},
R_s=R_NASA_2002/NH3.MM);
constant IdealGases.Common.DataRecord NH2OH(
name="NH2OH",
MM=0.03302992,
Hf=-1513779.022171413,
H0=340169.7006835016,
Tlimit=1000,
alow={-56175.8667,1209.290057,-6.17959906,0.0405311644,-5.19010554e-005,
3.59454458e-008,-9.933681639999999e-012},
blow={-12658.88352,57.27932928000001},
ahigh={4878285.05,-15336.04636,22.2723999,-0.002514583678,3.33958973e-007,-1.881744532e-011,
1.918174365e-016},
bhigh={89230.2071,-126.9053624},
R_s=R_NASA_2002/NH2OH.MM);
constant IdealGases.Common.DataRecord NH4plus(
name="NH4plus",
MM=0.0180379114,
Hf=35752750.45424605,
H0=553211.0552444559,
Tlimit=1000,
alow={-266831.5752,3763.02069,-15.71327725,0.0454882021,-4.37996212e-005,
2.464478293e-008,-5.96153233e-012},
blow={58232.8472,111.2087156},
ahigh={4141889,-14420.72042,20.11893564,-0.001971492619,3.112721421e-007,-2.602979969e-011,
8.894342129999999e-016},
bhigh={166419.6236,-120.1535761},
R_s=R_NASA_2002/NH4plus.MM);
constant IdealGases.Common.DataRecord NO(
name="NO",
MM=0.0300061,
Hf=3041758.509103149,
H0=305908.1320131574,
Tlimit=1000,
alow={-11439.16503,153.6467592,3.43146873,-0.002668592368,8.48139912e-006,-7.685111050000001e-009,
2.386797655e-012},
blow={9098.214410000001,6.72872549},
ahigh={223901.8716,-1289.651623,5.43393603,-0.00036560349,
9.880966450000001e-008,-1.416076856e-011,9.380184619999999e-016},
bhigh={17503.17656,-8.50166909},
R_s=R_NASA_2002/NO.MM);
constant IdealGases.Common.DataRecord NOCL(
name="NOCL",
MM=0.06545910000000001,
Hf=805064.9642295723,
H0=173612.0417176527,
Tlimit=1000,
alow={23088.35209,-549.598384,7.73046336,-0.0050739109,1.062996184e-005,-8.7932497e-009,
2.648180166e-012},
blow={7389.89839,-13.18393021},
ahigh={-613341.333,-391.929883,9.13891722,-0.002605664613,1.295687247e-006,
-2.215378352e-010,1.280394898e-014},
bhigh={4517.32842,-23.07323335},
R_s=R_NASA_2002/NOCL.MM);
constant IdealGases.Common.DataRecord NOF(
name="NOF",
MM=0.0490045032,
Hf=-1326408.712577255,
H0=218760.9362398352,
Tlimit=1000,
alow={47550.2426,-725.3904170000001,7.21399636,-0.002532427181,
6.3777439e-006,-5.51830588e-009,1.681935713e-012},
blow={-5609.72252,-12.89663616},
ahigh={1889069.274,-6731.02266,14.19018767,-0.00369312462,9.93857514e-007,-1.080748188e-010,
4.21035443e-015},
bhigh={32099.0078,-63.70266962},
R_s=R_NASA_2002/NOF.MM);
constant IdealGases.Common.DataRecord NOF3(
name="NOF3",
MM=0.08700130959999999,
Hf=-2149392.932816267,
H0=157441.9174030456,
Tlimit=1000,
alow={148836.0135,-2241.049812,13.02355027,0.00546397668,-8.641865250000001e-006,
5.91365903e-009,-1.577009169e-012},
blow={-13283.42568,-48.77320739},
ahigh={-278562.5217,-1252.321663,13.90824337,-0.00035666875,7.78501106e-008,
-8.85041197e-012,4.07598003e-016},
bhigh={-20256.51446,-51.06881858999999},
R_s=R_NASA_2002/NOF3.MM);
constant IdealGases.Common.DataRecord NO2(
name="NO2",
MM=0.0460055,
Hf=743237.6346306421,
H0=221890.3174620426,
Tlimit=1000,
alow={-56420.3878,963.308572,-2.434510974,0.01927760886,-1.874559328e-005,
9.145497730000001e-009,-1.777647635e-012},
blow={-1547.925037,40.6785121},
ahigh={721300.157,-3832.6152,11.13963285,-0.002238062246,6.54772343e-007,-7.6113359e-011,
3.32836105e-015},
bhigh={25024.97403,-43.0513004},
R_s=R_NASA_2002/NO2.MM);
constant IdealGases.Common.DataRecord NO2minus(
name="NO2minus",
MM=0.0460060486,
Hf=-4348028.07646471,
H0=221210.2388641132,
Tlimit=1000,
alow={-12820.67858,699.013818,-2.812596273,0.02412894252,-2.831606689e-005,
1.670509365e-008,-3.98333013e-012},
blow={-28099.15579,40.6327151},
ahigh={132571.0335,-1557.032129,8.12672192,-0.000272862678,-4.7075418e-008,
2.826729008e-011,-2.353985481e-015},
bhigh={-17157.95217,-22.28576043},
R_s=R_NASA_2002/NO2minus.MM);
constant IdealGases.Common.DataRecord NO2CL(
name="NO2CL",
MM=0.0814585,
Hf=153452.3714529484,
H0=149828.9190201145,
Tlimit=1000,
alow={8508.370340000001,-180.5383762,3.78538856,0.01414934934,-1.423946765e-005,
7.02822618e-009,-1.374688214e-012},
blow={915.6246469999999,6.958904458},
ahigh={-108677.3327,-1452.231167,11.05656962,-0.000400009928,
9.101543039999999e-008,-1.036656913e-011,4.78166481e-016},
bhigh={6294.26732,-35.21239681},
R_s=R_NASA_2002/NO2CL.MM);
constant IdealGases.Common.DataRecord NO2F(
name="NO2F",
MM=0.06500390319999999,
Hf=-1676822.385028719,
H0=174552.3028838675,
Tlimit=1000,
alow={56678.5695,-653.825195,4.47277152,0.01368870672,-1.460533236e-005,
7.779227940000001e-009,-1.689355106e-012},
blow={-11021.79443,0.329207431},
ahigh={-100857.7842,-1704.722752,11.22954945,-0.000468521597,
1.047692566e-007,-1.189150595e-011,5.470307120000001e-016},
bhigh={-6891.71918,-38.49788492},
R_s=R_NASA_2002/NO2F.MM);
constant IdealGases.Common.DataRecord NO3(
name="NO3",
MM=0.0620049,
Hf=1147135.145770738,
H0=176742.7090439627,
Tlimit=1000,
alow={34053.9841,226.6670652,-3.79308163,0.041707327,-5.709913270000001e-005,
3.83415811e-008,-1.021969284e-011},
blow={7088.112200000001,42.73091713},
ahigh={-394387.271,-824.426353,10.61325843,-0.0002448749816,5.40606032e-008,
-6.19546675e-012,2.870000149e-016},
bhigh={8982.01173,-34.44666597},
R_s=R_NASA_2002/NO3.MM);
constant IdealGases.Common.DataRecord NO3minus(
name="NO3minus",
MM=0.0620054486,
Hf=-5012132.611197655,
H0=173744.4892867044,
Tlimit=1000,
alow={92048.1361,-391.117115,-0.2354356764,0.02836042108,-3.46132408e-005,
2.08178746e-008,-5.02160127e-012},
blow={-35764.115,22.99942308},
ahigh={-311000.5758,-1369.087552,11.01342913,-0.000403687882,
8.90208647e-008,-1.01973348e-011,4.72333079e-016},
bhigh={-33643.2109,-38.78432657},
R_s=R_NASA_2002/NO3minus.MM);
constant IdealGases.Common.DataRecord NO3F(
name="NO3F",
MM=0.0810033032,
Hf=185177.6335955643,
H0=178315.6418243448,
Tlimit=1000,
alow={64728.3203,-821.3134309999999,6.19491744,0.01805438628,-1.99669324e-005,
1.124482018e-008,-2.680013077e-012},
blow={4206.66179,-7.016104301},
ahigh={-341179.33,-2353.908798,16.28114887,-0.001910415273,4.69087356e-007,
-5.68604014e-011,2.720906921e-015},
bhigh={9760.583979999999,-65.58153684},
R_s=R_NASA_2002/NO3F.MM);
constant IdealGases.Common.DataRecord N2(
name="N2",
MM=0.0280134,
Hf=0,
H0=309498.4543111511,
Tlimit=1000,
alow={22103.71497,-381.846182,6.08273836,-0.00853091441,1.384646189e-005,-9.62579362e-009,
2.519705809e-012},
blow={710.846086,-10.76003744},
ahigh={587712.406,-2239.249073,6.06694922,-0.00061396855,1.491806679e-007,-1.923105485e-011,
1.061954386e-015},
bhigh={12832.10415,-15.86640027},
R_s=R_NASA_2002/N2.MM);
constant IdealGases.Common.DataRecord N2plus(
name="N2plus",
MM=0.0280128514,
Hf=53886282.4938985,
H0=309540.07059774,
Tlimit=1000,
alow={-34740.4747,269.6222703,3.16491637,-0.002132239781,
6.730476399999999e-006,-5.63730497e-009,1.621756e-012},
blow={179000.4424,6.832974166},
ahigh={-2845599.002,7058.89303,-2.884886385,0.003068677059,-4.36165231e-007,
2.102514545e-011,5.41199647e-016},
bhigh={134038.8483,50.90897022},
R_s=R_NASA_2002/N2plus.MM);
constant IdealGases.Common.DataRecord N2minus(
name="N2minus",
MM=0.0280139486,
Hf=5289624.969184102,
H0=309641.5333609915,
Tlimit=1000,
alow={-81462.2711,906.360079,-0.1520054079,0.00602319084,-2.897138445e-006,
-4.12910668e-011,3.20698977e-013},
blow={12188.08548,26.38068855},
ahigh={216963.7706,-1275.098516,5.3910957,-0.000319890751,
7.311051349999999e-008,-8.202017370000001e-012,3.7400447e-016},
bhigh={24249.64308,-9.014934294},
R_s=R_NASA_2002/N2minus.MM);
constant IdealGases.Common.DataRecord NCN(
name="NCN",
MM=0.0400241,
Hf=12503880.73685604,
H0=254351.178415005,
Tlimit=1000,
alow={-56346.80699999999,732.380458,-0.782140184,0.01838552441,-1.950836491e-005,
1.035712021e-008,-2.208158483e-012},
blow={55397.897,29.05308985},
ahigh={-164188.0975,-776.784075,7.99998187,-0.0001659081508,
2.983403318e-008,-3.120157047e-012,1.99269872e-016},
bhigh={61844.24479999999,-21.4910882},
R_s=R_NASA_2002/NCN.MM);
constant IdealGases.Common.DataRecord N2D2_cis(
name="N2D2_cis",
MM=0.032041604,
Hf=6331060.392607061,
H0=321707.8957720095,
Tlimit=1000,
alow={-27437.33656,714.980883,-2.22324762,0.02088722282,-1.821711897e-005,
8.84407994e-009,-1.918010649e-012},
blow={20111.15649,36.37100195},
ahigh={879807.471,-5299.36204,13.55007485,-0.001316635227,2.755816197e-007,
-3.036294387e-011,1.365324117e-015},
bhigh={53563.11889999999,-62.71215875},
R_s=R_NASA_2002/N2D2_cis.MM);
constant IdealGases.Common.DataRecord N2F2(
name="N2F2",
MM=0.06601020640000001,
Hf=944907.6044700869,
H0=194951.0038193124,
Tlimit=1000,
alow={15438.9315,-218.363513,3.89028425,0.0167401774,-2.05639309e-005,
1.25869211e-008,-3.11049829e-012},
blow={7052.0387,5.265866442},
ahigh={-182488.386,-953.402996,10.6979548,-0.00027599687,6.0554397e-008,-6.91121508e-012,
3.19258723e-016},
bhigh={9283.46696,-32.46968772},
R_s=R_NASA_2002/N2F2.MM);
constant IdealGases.Common.DataRecord N2F4(
name="N2F4",
MM=0.1040070128,
Hf=-211524.1982990593,
H0=171253.5580100807,
Tlimit=1000,
alow={116291.4512,-1538.660418,9.054033049999999,0.02862113563,-4.33228699e-005,
3.067642499e-008,-8.45547411e-012},
blow={2865.277526,-24.76493006},
ahigh={-518859.471,-670.225651,16.50109262,-0.0002006404436,4.43675251e-008,
-5.08980888e-012,2.359374159e-016},
bhigh={-5281.4889,-60.40513435},
R_s=R_NASA_2002/N2F4.MM);
constant IdealGases.Common.DataRecord N2H2(
name="N2H2",
MM=0.03002928,
Hf=7055072.782297812,
H0=332907.1159881289,
Tlimit=1000,
alow={-150400.5163,2346.687716,-9.40543029,0.032842998,-3.121920401e-005,
1.72128319e-008,-4.014537220000001e-012},
blow={13193.84041,78.32382629999999},
ahigh={6217567.87,-17539.52096,20.22730509,-0.000975729766,-4.20841674e-007,
1.117921171e-010,-7.627102210000001e-015},
bhigh={137415.2574,-119.9559168},
R_s=R_NASA_2002/N2H2.MM);
constant IdealGases.Common.DataRecord NH2NO2(
name="NH2NO2",
MM=0.06202808,
Hf=-419164.9975301508,
H0=196102.3620270045,
Tlimit=1000,
alow={-45730.3506,1201.365987,-8.10598411,0.054027152,-6.43807445e-005,
4.02509792e-008,-1.02515419e-011},
blow={-9615.78516,68.67353357},
ahigh={1654040.575,-8125.220880000001,20.21742772,-0.001244291821,
2.122804183e-007,-1.948359653e-011,7.43935136e-016},
bhigh={42308.2258,-101.6190179},
R_s=R_NASA_2002/NH2NO2.MM);
constant IdealGases.Common.DataRecord N2H4(
name="N2H4",
MM=0.03204516,
Hf=2970183.328777263,
H0=357286.5293854048,
Tlimit=1000,
alow={-166075.6354,3035.416736,-17.36889823,0.0715983402,-8.8667993e-005,
5.79897028e-008,-1.530037218e-011},
blow={-3731.92723,119.0002218},
ahigh={3293486.7,-11998.50628,21.04406814,-0.001399381724,1.933173351e-007,
-1.318016127e-011,3.16640017e-016},
bhigh={83484.337,-115.5751024},
R_s=R_NASA_2002/N2H4.MM);
constant IdealGases.Common.DataRecord N2O(
name="N2O",
MM=0.0440128,
Hf=1854006.107314236,
H0=217685.1961247637,
Tlimit=1000,
alow={42882.2597,-644.011844,6.03435143,0.0002265394436,3.47278285e-006,-3.62774864e-009,
1.137969552e-012},
blow={11794.05506,-10.0312857},
ahigh={343844.804,-2404.557558,9.125636220000001,-0.000540166793,
1.315124031e-007,-1.4142151e-011,6.38106687e-016},
bhigh={21986.32638,-31.47805016},
R_s=R_NASA_2002/N2O.MM);
constant IdealGases.Common.DataRecord N2Oplus(
name="N2Oplus",
MM=0.04401225139999999,
Hf=30286033.19756553,
H0=241373.8598248578,
Tlimit=1000,
alow={-56241.4708,669.621161,0.0878145619,0.01524476027,-1.527290811e-005,
7.827237389999999e-009,-1.646739623e-012},
blow={155729.5192,25.62354785},
ahigh={-29835.53254,-1179.455967,8.30018669,-0.0002887267217,
5.70510501e-008,-5.95888512e-012,2.835725557e-016},
bhigh={164602.1769,-22.87356617},
R_s=R_NASA_2002/N2Oplus.MM);
constant IdealGases.Common.DataRecord N2O3(
name="N2O3",
MM=0.0760116,
Hf=1139702.295439117,
H0=225240.029153445,
Tlimit=1000,
alow={-92044.44170000001,929.552015,3.20366481,0.01356473078,-6.26296607e-006,
-1.402915559e-009,1.43162093e-012},
blow={3313.62208,18.44430953},
ahigh={778388.186,-4483.02466,16.66668024,-0.002062143878,
5.309541710000001e-007,-6.19045122e-011,2.692956658e-015},
bhigh={33609.1245,-67.39212388},
R_s=R_NASA_2002/N2O3.MM);
constant IdealGases.Common.DataRecord N2O4(
name="N2O4",
MM=0.092011,
Hf=120756.4204279923,
H0=181948.1475041028,
Tlimit=1000,
alow={-38047.5144,561.2828890000001,-0.2083648324,0.0388708782,-4.42241226e-005,
2.49881231e-008,-5.67910238e-012},
blow={-3310.79473,29.6392484},
ahigh={-458284.3760000001,-1604.749805,16.74102133,-0.0005091385080000001,
1.14363467e-007,-1.316288176e-011,5.976316620000001e-016},
bhigh={4306.90052,-65.69450380000001},
R_s=R_NASA_2002/N2O4.MM);
constant IdealGases.Common.DataRecord N2O5(
name="N2O5",
MM=0.1080104,
Hf=123136.2905794257,
H0=192550.2081281062,
Tlimit=1000,
alow={40078.2817,-876.9675120000001,10.55932981,0.01394613859,-8.884346920000001e-006,
8.500431150000001e-010,7.79155091e-013},
blow={3038.962037,-23.8683186},
ahigh={-53255.7896,-3109.277389,20.36088958,-0.000995990114,
2.401398635e-007,-3.057161911e-011,1.495915511e-015},
bhigh={13369.57281,-82.98623341000001},
R_s=R_NASA_2002/N2O5.MM);
constant IdealGases.Common.DataRecord N3(
name="N3",
MM=0.0420201,
Hf=10375986.73016009,
H0=227769.7102101138,
Tlimit=1000,
alow={33374.0679,-296.5683604,3.31427915,0.00672168536,-4.18112639e-006,
8.61844236e-010,6.88335253e-014},
blow={52988.4062,5.312776486},
ahigh={252926.4658,-2362.876591,9.135267130000001,-0.000621287085,
1.324094351e-007,-1.47898964e-011,6.721230470000001e-016},
bhigh={64126.95389999999,-31.35825973},
R_s=R_NASA_2002/N3.MM);
constant IdealGases.Common.DataRecord N3H(
name="N3H",
MM=0.04302804,
Hf=6832753.711300817,
H0=254419.745821562,
Tlimit=1000,
alow={3242.57606,66.9266489,1.766142217,0.01487411419,-1.53908644e-005,
9.172303550000001e-009,-2.337205474e-012},
blow={33920.697,15.13752057},
ahigh={1170469.241,-5102.45199,12.7828891,-0.000840948716,1.592142834e-007,
-1.512289051e-011,6.102906629999999e-016},
bhigh={64283.4447,-55.13119107999999},
R_s=R_NASA_2002/N3H.MM);
constant IdealGases.Common.DataRecord Na(
name="Na",
MM=0.02298977,
Hf=4675992.843773557,
H0=269573.2928167615,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={12183.82949,4.24402818},
ahigh={952572.3380000001,-2623.807254,5.16259662,-0.001210218586,
2.306301844e-007,-1.249597843e-011,7.226771190000001e-016},
bhigh={29129.63564,-15.19717061},
R_s=R_NASA_2002/Na.MM);
constant IdealGases.Common.DataRecord Naplus(
name="Naplus",
MM=0.0229892214,
Hf=26514291.9542286,
H0=269579.7257405159,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={72565.3707,3.55084508},
ahigh={0,0,2.5,0,0,0,0},
bhigh={72565.3707,3.55084508},
R_s=R_NASA_2002/Naplus.MM);
constant IdealGases.Common.DataRecord Naminus(
name="Naminus",
MM=0.0229903186,
Hf=2107557.917879398,
H0=269566.8602000148,
Tlimit=1000,
alow={0,0,2.500000001,0,0,0,0},
blow={5082.19967,3.55091679},
ahigh={0,0,2.500000001,0,0,0,0},
bhigh={5082.19967,3.55091679},
R_s=R_NASA_2002/Naminus.MM);
constant IdealGases.Common.DataRecord NaALF4(
name="NaALF4",
MM=0.1259649208,
Hf=-14748880.35653812,
H0=165194.1418916051,
Tlimit=1000,
alow={131535.9536,-2394.685695,19.09539612,0.001044339733,-6.949754129999999e-006,
6.769098139999999e-009,-2.176199098e-012},
blow={-215051.2366,-75.0510213},
ahigh={-357117.793,-249.6543879,16.18634511,-7.449049300000001e-005,
1.644510872e-008,-1.883696066e-012,8.719877450000001e-017},
bhigh={-227953.3538,-53.7066514},
R_s=R_NASA_2002/NaALF4.MM);
constant IdealGases.Common.DataRecord NaBO2(
name="NaBO2",
MM=0.06579957,
Hf=-9626952.425372992,
H0=207944.6719788594,
Tlimit=1000,
alow={50468.6736,-869.99706,8.942208239999999,0.001092655824,
1.440608828e-006,-2.254633535e-009,8.12331285e-013},
blow={-73783.1836,-19.51815135},
ahigh={85958.14049999999,-1691.902222,11.18847517,-0.000456420231,
9.80450516e-008,-1.101655008e-011,5.02917276e-016},
bhigh={-69492.9206,-34.1635313},
R_s=R_NASA_2002/NaBO2.MM);
constant IdealGases.Common.DataRecord NaBr(
name="NaBr",
MM=0.10289377,
Hf=-1418247.985276465,
H0=95449.10250640052,
Tlimit=1000,
alow={-14668.27136,76.22282870000001,3.92116347,0.001793780908,-2.457391648e-006,
1.739334522e-009,-4.79670138e-013},
blow={-19264.91755,6.40438286},
ahigh={897851.3019999999,-2697.899721,7.54537716,-0.001566692184,
4.47039274e-007,-4.83281021e-011,1.4239613e-015},
bhigh={-1750.862247,-18.56478949},
R_s=R_NASA_2002/NaBr.MM);
constant IdealGases.Common.DataRecord NaCN(
name="NaCN",
MM=0.04900717,
Hf=1923514.457170247,
H0=247432.6103710947,
Tlimit=1000,
alow={24461.6541,-753.601997,10.44966241,-0.01168769048,1.849279385e-005,-1.319387974e-008,
3.58976656e-012},
blow={12978.20493,-29.88519681},
ahigh={366557.029,-1782.094358,8.69962263,-0.0004463297,9.36222931e-008,-1.03307132e-011,
4.650466810000001e-016},
bhigh={20109.26347,-24.19276094},
R_s=R_NASA_2002/NaCN.MM);
constant IdealGases.Common.DataRecord NaCL(
name="NaCL",
MM=0.05844277000000001,
Hf=-3106370.283270283,
H0=164521.9075002776,
Tlimit=1000,
alow={43623.78350000001,-758.303446,8.259173000000001,-0.009640915140000001,
1.358854616e-005,-9.667032249999999e-009,2.74626129e-012},
blow={-19504.09477,-19.36687551},
ahigh={331449.8760000001,-896.831565,5.27728738,-0.0001475674008,-1.491128988e-008,
2.465673596e-011,-2.730355213e-015},
bhigh={-17362.77667,-3.99828856},
R_s=R_NASA_2002/NaCL.MM);
constant IdealGases.Common.DataRecord NaF(
name="NaF",
MM=0.0419881732,
Hf=-7029524.423320232,
H0=219707.3675022375,
Tlimit=1000,
alow={39598.8744,-653.4626069999999,6.9411732,-0.00530781493,
6.97972066e-006,-4.82042573e-009,1.364849175e-012},
blow={-33529.4089,-14.03212229},
ahigh={-1092926.912,3293.30364,0.413591984,0.00263499447,-8.384295630000001e-007,
1.417053025e-010,-8.600270160000001e-015},
bhigh={-57728.8463,29.09489906},
R_s=R_NASA_2002/NaF.MM);
constant IdealGases.Common.DataRecord NaH(
name="NaH",
MM=0.02399771,
Hf=5868689.345775076,
H0=363830.757184748,
Tlimit=1000,
alow={-32222.0641,623.762201,-0.9216277509999999,0.01360765851,-1.659249878e-005,
1.033284544e-008,-2.589726392e-012},
blow={13073.81654,26.41418597},
ahigh={-4756184.75,14520.47626,-13.27563485,0.01055828277,-2.990041189e-006,
3.90532288e-010,-1.923931194e-014},
bhigh={-76329.2227,122.207006},
R_s=R_NASA_2002/NaH.MM);
constant IdealGases.Common.DataRecord NaI(
name="NaI",
MM=0.14989424,
Hf=-604678.8722501947,
H0=66394.27905968903,
Tlimit=1000,
alow={12288.68506,-285.71928,5.961057,-0.00379253258,5.56688131e-006,-4.045013680000001e-009,
1.172998933e-012},
blow={-10882.50556,-3.99073992},
ahigh={2281549.408,-7093.15663,13.04994968,-0.00501349233,1.581735155e-006,
-2.285837754e-010,1.19588995e-014},
bhigh={32538.9362,-56.4002332},
R_s=R_NASA_2002/NaI.MM);
constant IdealGases.Common.DataRecord NaLi(
name="NaLi",
MM=0.02993077,
Hf=5967047.289461648,
H0=333874.4709875489,
Tlimit=1000,
alow={-6569.99276,-5.25394043,4.32938426,0.001097919189,-1.965726597e-006,
2.086472026e-009,-8.19598811e-013},
blow={20162.24293,1.413253322},
ahigh={10916648.6,-34800.1064,46.14311919999999,-0.02260951051,
5.68532437e-006,-6.458143299999999e-010,2.696508992e-014},
bhigh={239443.1755,-296.1780126},
R_s=R_NASA_2002/NaLi.MM);
constant IdealGases.Common.DataRecord NaNO2(
name="NaNO2",
MM=0.06899527000000001,
Hf=-2410205.496695643,
H0=214612.1176132798,
Tlimit=1000,
alow={-69344.60610000001,1115.43267,-1.816284973,0.02916366016,-3.50578852e-005,
2.128602855e-008,-5.226211990000001e-012},
blow={-27072.75053,41.21853253},
ahigh={-176555.7495,-863.521295,10.6410594,-0.0002559465044,5.65446563e-008,
-6.48671032e-012,3.008171243e-016},
bhigh={-18684.35672,-29.21304474},
R_s=R_NASA_2002/NaNO2.MM);
constant IdealGases.Common.DataRecord NaNO3(
name="NaNO3",
MM=0.08499466999999999,
Hf=-3359371.958265148,
H0=181202.997787979,
Tlimit=1000,
alow={-20438.52507,691.709341,-2.397485012,0.04100386430000001,-5.141702579999999e-005,
3.22862247e-008,-8.1646916e-012},
blow={-39064.0132,41.74749459},
ahigh={-322559.219,-1396.782195,14.03092409,-0.000409816177,
9.023845720000001e-008,-1.032543966e-011,4.77867155e-016},
bhigh={-31388.89875,-49.59121431},
R_s=R_NASA_2002/NaNO3.MM);
constant IdealGases.Common.DataRecord NaO(
name="NaO",
MM=0.03898917,
Hf=2731664.126217614,
H0=250149.387637644,
Tlimit=1000,
alow={18577.48013,-337.149732,5.64456002,-0.003136926368,6.33077539e-006,-5.42946247e-009,
1.68718377e-012},
blow={13203.32678,-4.99613115},
ahigh={256974.4011,-2269.334161,9.22439762,-0.0036512691,1.446811119e-006,-2.443068386e-010,
1.428508328e-014},
bhigh={24132.39357,-29.89159486},
R_s=R_NASA_2002/NaO.MM);
constant IdealGases.Common.DataRecord NaOH(
name="NaOH",
MM=0.03999711,
Hf=-4775345.0186776,
H0=284962.3635307651,
Tlimit=1000,
alow={34420.3674,-792.321818,8.9979323,-0.00407984452,3.065783937e-006,-5.11918934e-010,
-1.541016409e-013},
blow={-20869.51091,-25.1059009},
ahigh={875378.776,-2342.514649,7.97846989,0.0001016451512,-6.26853195e-008,
1.022715136e-011,-5.71328641e-016},
bhigh={-9509.90171,-22.02310401},
R_s=R_NASA_2002/NaOH.MM);
constant IdealGases.Common.DataRecord NaOHplus(
name="NaOHplus",
MM=0.0399965614,
Hf=17098029.10707219,
H0=292396.9109004455,
Tlimit=1000,
alow={22780.39363,-667.219422,8.921593120000001,-0.004481263270000001,
3.95188392e-006,-1.173341234e-009,2.041806631e-014},
blow={83633.8219,-22.58912262},
ahigh={881541.365,-2363.159755,8.053203930000001,7.27127974e-005,-5.89741789e-008,
1.007487881e-011,-5.47440621e-016},
bhigh={95844.41650000001,-20.79484012},
R_s=R_NASA_2002/NaOHplus.MM);
constant IdealGases.Common.DataRecord Na2(
name="Na2",
MM=0.04597954,
Hf=3095705.720413906,
H0=226255.5258273571,
Tlimit=1000,
alow={6848.62868,-153.0836599,5.32523039,-0.001944906088,2.657477888e-006,-9.096841120000001e-010,
-2.44875673e-013},
blow={16491.70574,-2.653564394},
ahigh={19299407.58,-62692.8012,82.67682110000001,-0.0456513781,
1.259515667e-005,-1.560445735e-009,7.02467717e-014},
bhigh={409082.08,-550.997089},
R_s=R_NASA_2002/Na2.MM);
constant IdealGases.Common.DataRecord Na2Br2(
name="Na2Br2",
MM=0.20578754,
Hf=-2336625.691720694,
H0=95202.78535814169,
Tlimit=1000,
alow={-13849.46731,-157.3241177,10.63192589,-0.001383418339,
1.697156537e-006,-1.092992547e-009,2.87098802e-013},
blow={-60103.9182,-18.61473856},
ahigh={-30217.30975,-2.65923278,10.00225819,-9.935490630000001e-007,
2.358676253e-010,-2.857194816e-014,1.381909879e-018},
bhigh={-60900.3992,-14.94517863},
R_s=R_NASA_2002/Na2Br2.MM);
constant IdealGases.Common.DataRecord Na2CL2(
name="Na2CL2",
MM=0.11688554,
Hf=-4828670.706402178,
H0=159979.8144406913,
Tlimit=1000,
alow={-10829.5525,-313.9528641,11.24411332,-0.002697665795,3.28635948e-006,
-2.105377639e-009,5.508056609999999e-013},
blow={-69386.7543,-25.11011582},
ahigh={-44121.0523,-5.39349128,10.00453407,-1.981155641e-006,4.6801882e-010,
-5.64894068e-014,2.724721177e-018},
bhigh={-70980.6341,-17.87230397},
R_s=R_NASA_2002/Na2CL2.MM);
constant IdealGases.Common.DataRecord Na2F2(
name="Na2F2",
MM=0.0839763464,
Hf=-9932115.551052362,
H0=198655.1060525777,
Tlimit=1000,
alow={23515.80802,-1000.737062,13.75845076,-0.007838346979999999,
9.2762887e-006,-5.81361297e-009,1.49535482e-012},
blow={-98358.31880000001,-43.8114809},
ahigh={-90307.50689999999,-18.93938035,10.01535518,-6.53967545e-006,
1.516333603e-009,-1.804877459e-013,8.61347492e-018},
bhigh={-103489.6664,-21.78860202},
R_s=R_NASA_2002/Na2F2.MM);
constant IdealGases.Common.DataRecord Na2I2(
name="Na2I2",
MM=0.29978848,
Hf=-1190405.755417953,
H0=67534.50966494776,
Tlimit=1000,
alow={-13050.63983,-89.9250668,10.36367976,-0.0008000070190000001,
9.84877798e-007,-6.35937312e-010,1.673774775e-013},
blow={-45514.6549,-14.87509548},
ahigh={-22312.36397,-1.515570558,10.00129413,-5.71503538e-007,
1.360287207e-010,-1.650916036e-014,7.996149680000001e-019},
bhigh={-45969.2175,-12.76523965},
R_s=R_NASA_2002/Na2I2.MM);
constant IdealGases.Common.DataRecord Na2O(
name="Na2O",
MM=0.06197894,
Hf=-267184.7888976482,
H0=232501.0721383747,
Tlimit=1000,
alow={39011.49290000001,-726.620789,9.62371078,-0.00355641864,
3.47070435e-006,-1.835177736e-009,4.06213471e-013},
blow={-459.307325,-23.49565832},
ahigh={-66005.2516,-25.69021634,7.51938542,-7.81163524e-006,1.73501589e-009,
-1.996634558e-013,9.27643355e-018},
bhigh={-4297.33965,-10.63530214},
R_s=R_NASA_2002/Na2O.MM);
constant IdealGases.Common.DataRecord Na2Oplus(
name="Na2Oplus",
MM=0.0619783914,
Hf=8403476.699461419,
H0=235671.9442060253,
Tlimit=1000,
alow={26479.69755,-596.906216,9.294129529999999,-0.003080702005,
3.080460653e-006,-1.669452593e-009,3.78978414e-013},
blow={63473.10249999999,-20.25274459},
ahigh={-57409.0933,-19.89178143,7.51529526,-6.25833323e-006,
1.407321045e-009,-1.635833952e-013,7.66244513e-018},
bhigh={60329.77469999999,-9.42652674},
R_s=R_NASA_2002/Na2Oplus.MM);
constant IdealGases.Common.DataRecord Na2O2(
name="Na2O2",
MM=0.07797834000000001,
Hf=-1589291.911061456,
H0=199609.9814384353,
Tlimit=1000,
alow={73824.5892,-1355.12534,12.55579861,-0.002112046045,4.92035352e-008,
1.003950603e-009,-4.44773207e-013},
blow={-10588.58918,-40.2181178},
ahigh={-173229.5239,-113.7561118,10.08529143,-3.42209894e-005,
7.577721890000001e-009,-8.70125673e-013,4.03606139e-017},
bhigh={-17803.00574,-23.8678919},
R_s=R_NASA_2002/Na2O2.MM);
constant IdealGases.Common.DataRecord Na2O2H2(
name="Na2O2H2",
MM=0.07999422000000001,
Hf=-7800563.59071943,
H0=241844.2357460327,
Tlimit=1000,
alow={108941.4289,-2634.822704,23.06608858,-0.01689310193,1.67348319e-005,-7.821166009999999e-009,
1.47503447e-012},
blow={-65931.37330000001,-98.0298758},
ahigh={1675713.839,-4704.921170000001,16.97343934,0.0001961487616,-1.236951748e-007,
2.025311778e-011,-1.132991623e-015},
bhigh={-48562.4557,-68.1348098},
R_s=R_NASA_2002/Na2O2H2.MM);
constant IdealGases.Common.DataRecord Na2SO4(
name="Na2SO4",
MM=0.14204214,
Hf=-7322702.276944011,
H0=147644.1991087997,
Tlimit=1000,
alow={83442.8321,-1210.880769,8.742353,0.0360079663,-5.11764596e-005,
3.48156904e-008,-9.321931219999999e-012},
blow={-121738.7045,-20.61505785},
ahigh={-575448.311,-981.7060339999999,19.73310397,-0.000293639552,
6.498708169999999e-008,-7.462479400000001e-012,3.46249166e-016},
bhigh={-127059.7762,-76.67871596000001},
R_s=R_NASA_2002/Na2SO4.MM);
constant IdealGases.Common.DataRecord Na3CL3(
name="Na3CL3",
MM=0.17532831,
Hf=-5205517.061106674,
H0=168125.4841274635,
Tlimit=1000,
alow={-12542.1667,-550.216046,18.16110649,-0.00465651526,5.64643822e-006,-3.60476032e-009,
9.405556239999999e-013},
blow={-111927.0172,-52.9010496},
ahigh={-71602.9797,-9.57349381,16.00799614,-3.47835697e-006,
8.190943689999999e-010,-9.86321003e-014,4.74900535e-018},
bhigh={-114725.2948,-40.31342160000001},
R_s=R_NASA_2002/Na3CL3.MM);
constant IdealGases.Common.DataRecord Na3F3(
name="Na3F3",
MM=0.1259645196,
Hf=-10701548.26359533,
H0=203249.8840252791,
Tlimit=1000,
alow={52470.3035,-1775.597273,22.50927609,-0.01333033615,1.555790239e-005,-9.64601146e-009,
2.460254271e-012},
blow={-158073.6389,-85.80122369999999},
ahigh={-155399.5698,-35.5197019,16.02841159,-1.198056094e-005,
2.75724873e-009,-3.26330097e-013,1.550483212e-017},
bhigh={-167214.1773,-47.5378068},
R_s=R_NASA_2002/Na3F3.MM);
constant IdealGases.Common.DataRecord Nb(
name="Nb",
MM=0.09290638,
Hf=7783244.799765098,
H0=89919.54050948923,
Tlimit=1000,
alow={78896.60669999999,-1212.813914,10.34579819,-0.01676630056,
1.979119979e-005,-1.218224409e-008,3.058098336e-012},
blow={91653.1514,-35.9474285},
ahigh={-1096553.196,2546.650713,2.236054882,-0.001280029198,
8.464237990000001e-007,-1.486269508e-010,8.714309406000001e-015},
bhigh={68791.24550000001,13.9816903},
R_s=R_NASA_2002/Nb.MM);
constant IdealGases.Common.DataRecord Nbplus(
name="Nbplus",
MM=0.0929058314,
Hf=15000185.17675092,
H0=92449.25609696444,
Tlimit=1000,
alow={131444.7859,-2000.135035,15.05024212,-0.02996583942,3.72986863e-005,-2.269869569e-008,
5.449089902e-012},
blow={176005.4029,-62.2459552},
ahigh={-1077639.646,2159.046421,2.310604767,-0.0005363991760000001,
5.05791509e-007,-1.032401533e-010,6.629241279999999e-015},
bhigh={151794.5546,12.10678502},
R_s=R_NASA_2002/Nbplus.MM);
constant IdealGases.Common.DataRecord Nbminus(
name="Nbminus",
MM=0.09290692859999999,
Hf=6792324.507001301,
H0=93144.91535134014,
Tlimit=1000,
alow={-72209.2485,525.950125,3.47046839,-0.00495050553,7.40185903e-006,-5.01630207e-009,
1.314100719e-012},
blow={71788.28870000001,5.15551007},
ahigh={111745.8019,134.0072834,2.391474129,4.52481343e-005,-1.025345e-008,
1.195577988e-012,-5.606330449999999e-017},
bhigh={74739.9675,9.67531561},
R_s=R_NASA_2002/Nbminus.MM);
constant IdealGases.Common.DataRecord NbCL5(
name="NbCL5",
MM=0.27017138,
Hf=-2603273.522162118,
H0=97505.37973341218,
Tlimit=1000,
alow={73482.7797,-1919.172996,22.90799567,-0.01404352774,1.638106985e-005,-1.018941843e-008,
2.612266639e-012},
blow={-79741.1881,-84.39637087},
ahigh={-156381.6638,-44.5052128,16.0354463,-1.489949737e-005,
3.42077792e-009,-4.04112442e-013,1.917266128e-017},
bhigh={-89628.15120000001,-43.74582607},
R_s=R_NASA_2002/NbCL5.MM);
constant IdealGases.Common.DataRecord NbO(
name="NbO",
MM=0.10890578,
Hf=1937350.855023489,
H0=80621.12038497864,
Tlimit=1000,
alow={-6797.834360000001,283.9767438,0.56457084,0.01134928619,-1.549821141e-005,
1.047624988e-008,-2.762937835e-012},
blow={23179.93893,23.65708974},
ahigh={553225.878,-1287.669306,4.98006604,0.0001116014163,4.03183868e-008,
1.04877371e-011,-1.893595022e-015},
bhigh={32684.5779,-1.868958549},
R_s=R_NASA_2002/NbO.MM);
constant IdealGases.Common.DataRecord NbOCL3(
name="NbOCL3",
MM=0.21526478,
Hf=-3494765.841397743,
H0=95840.10909727082,
Tlimit=1000,
alow={-110848.2359,117.3066983,11.65558433,0.001287422064,-1.659778281e-006,
1.102107826e-009,-2.949903264e-013},
blow={-95040.2392,-23.86450092},
ahigh={-151555.1427,53.0554523,12.28915282,-0.0001527366571,
6.778576440000001e-008,-9.36517065e-012,4.67003693e-016},
bhigh={-94907.68120000001,-27.45263834},
R_s=R_NASA_2002/NbOCL3.MM);
constant IdealGases.Common.DataRecord NbO2(
name="NbO2",
MM=0.12490518,
Hf=-1611356.326454996,
H0=85299.52080450147,
Tlimit=1000,
alow={17390.46582,38.8102944,0.902429912,0.01909523319,-2.667013583e-005,
1.813901051e-008,-4.872365880000001e-012},
blow={-25285.18558,22.89323379},
ahigh={-685185.99,911.224932,6.33919984,-8.2300803e-005,1.984439605e-007,-3.26117149e-011,
1.602430854e-015},
bhigh={-33250.2732,-3.55955655},
R_s=R_NASA_2002/NbO2.MM);
constant IdealGases.Common.DataRecord Ne(
name="Ne",
MM=0.0201797,
Hf=0,
H0=307111.9986917546,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={-745.375,3.35532272},
ahigh={0,0,2.5,0,0,0,0},
bhigh={-745.375,3.35532272},
R_s=R_NASA_2002/Ne.MM);
constant IdealGases.Common.DataRecord Neplus(
name="Neplus",
MM=0.0201791514,
Hf=103421888.4942803,
H0=312412.2454425909,
Tlimit=1000,
alow={72815.5148,-869.5697989999999,6.10864697,-0.00584135693,
5.041044170000001e-006,-2.293759207e-009,4.33906568e-013},
blow={254599.689,-16.73449355},
ahigh={-111274.2658,476.569797,2.196650531,0.0001102593151,-2.287564425e-008,
2.510218183e-012,-1.126646096e-016},
bhigh={247253.6944,7.46614054},
R_s=R_NASA_2002/Neplus.MM);
constant IdealGases.Common.DataRecord Ni(
name="Ni",
MM=0.0586934,
Hf=7328193.715136625,
H0=116282.4610603577,
Tlimit=1000,
alow={-32358.1055,601.526462,-1.079270657,0.01089505519,-1.369578748e-005,
8.317725790000001e-009,-2.019206968e-012},
blow={48138.1081,27.188292},
ahigh={-493826.221,1092.909991,2.410485014,-1.599071827e-005,-1.047414069e-008,
4.62479521e-012,-4.448865218e-017},
bhigh={43360.7217,9.677195599999999},
R_s=R_NASA_2002/Ni.MM);
constant IdealGases.Common.DataRecord Niplus(
name="Niplus",
MM=0.0586928514,
Hf=19978490.48104008,
H0=105733.0296956743,
Tlimit=1000,
alow={-89693.86030000002,1173.6015,-3.41062041,0.01390739137,-1.501714923e-005,
7.8963379e-009,-1.648686761e-012},
blow={134558.95,40.3149516},
ahigh={-3961999.32,10170.84853,-6.02933129,0.002770858029,-8.9020777e-008,-5.54100058e-011,
5.235342833e-015},
bhigh={73403.9512,71.37503100000001},
R_s=R_NASA_2002/Niplus.MM);
constant IdealGases.Common.DataRecord Niminus(
name="Niminus",
MM=0.0586939486,
Hf=5311695.062887626,
H0=105754.6331105078,
Tlimit=1000,
alow={-84376.2475,1135.476552,-3.38061583,0.01423003786,-1.582586302e-005,
8.608840410000001e-009,-1.875316029e-012},
blow={31243.0759,39.980613},
ahigh={-543342.48,1182.64533,2.12644124,3.73045594e-005,6.95360843e-009,-1.945719381e-012,
1.271571579e-016},
bhigh={28547.59122,10.43462235},
R_s=R_NASA_2002/Niminus.MM);
constant IdealGases.Common.DataRecord NiCL(
name="NiCL",
MM=0.09414640000000001,
Hf=1933201.906817467,
H0=100534.0724658617,
Tlimit=1000,
alow={-23579.97085,220.549163,2.714260287,0.00445359847,-2.849162229e-006,-1.691898007e-010,
5.15669926e-013},
blow={19572.2949,14.23643068},
ahigh={-3905769.19,9961.53399,-3.83943234,0.002767979391,-7.00595938e-008,-5.74140366e-011,
5.3076358e-015},
bhigh={-45053.9705,67.69402548000001},
R_s=R_NASA_2002/NiCL.MM);
constant IdealGases.Common.DataRecord NiCL2(
name="NiCL2",
MM=0.1295994,
Hf=-570457.8879223206,
H0=109618.9179888179,
Tlimit=1000,
alow={71099.7653,-1218.958288,12.08750596,-0.00867440314,1.043608104e-005,-6.298493009999999e-009,
1.485857653e-012},
blow={-5006.998710000001,-34.99472036},
ahigh={158588.9817,-1161.488738,9.608015379999999,-0.0009461224509999999,
2.608172043e-007,-3.26463725e-011,1.525950893e-015},
bhigh={-4578.98554,-22.12397347},
R_s=R_NASA_2002/NiCL2.MM);
constant IdealGases.Common.DataRecord NiO(
name="NiO",
MM=0.0746928,
Hf=3977143.713985819,
H0=118707.1444637234,
Tlimit=1000,
alow={23206.30462,-190.7136094,3.19017862,0.00529138349,-8.080210429999999e-006,
5.83981276e-009,-1.639499596e-012},
blow={35767.1112,7.84126567},
ahigh={-72340.9194,-80.3555427,4.55922102,2.30515451e-005,
5.139832819999999e-009,-5.85347491e-013,2.697077329e-017},
bhigh={34611.4385,1.209414814},
R_s=R_NASA_2002/NiO.MM);
constant IdealGases.Common.DataRecord NiS(
name="NiS",
MM=0.09075839999999999,
Hf=3938136.85565193,
H0=101572.1630174177,
Tlimit=1000,
alow={-12724.88974,143.2801381,2.471951556,0.00550527112,-3.41835528e-006,-3.099052241e-010,
6.26815467e-013},
blow={41177.1608,15.17981835},
ahigh={-735812.898,1178.231095,4.83786558,-0.000393120139,1.341974852e-007,
-1.569591708e-011,6.67704506e-016},
bhigh={32755.6594,3.690652283},
R_s=R_NASA_2002/NiS.MM);
constant IdealGases.Common.DataRecord O(
name="O",
MM=0.0159994,
Hf=15574021.71331425,
H0=420353.4507544033,
Tlimit=1000,
alow={-7953.611300000001,160.7177787,1.966226438,0.00101367031,-1.110415423e-006,
6.5175075e-010,-1.584779251e-013},
blow={28403.62437,8.404241819999999},
ahigh={261902.0262,-729.872203,3.31717727,-0.000428133436,1.036104594e-007,
-9.438304329999999e-012,2.725038297e-016},
bhigh={33924.2806,-0.667958535},
R_s=R_NASA_2002/O.MM);
constant IdealGases.Common.DataRecord Oplus(
name="Oplus",
MM=0.0159988514,
Hf=98056240.96239808,
H0=387367.0581126842,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={187935.2842,4.39337676},
ahigh={-216651.3208,666.545615,1.702064364,0.000471499281,-1.427131823e-007,
2.016595903e-011,-9.107157761999999e-016},
bhigh={183719.1966,10.05690382},
R_s=R_NASA_2002/Oplus.MM);
constant IdealGases.Common.DataRecord Ominus(
name="Ominus",
MM=0.0159999486,
Hf=6365407.448871429,
H0=410675.8192960695,
Tlimit=1000,
alow={-5695.857110000001,109.9287334,2.184719661,0.0005326359799999999,-5.298878440000001e-007,
2.870216236e-010,-6.52469274e-014},
blow={10932.87498,6.72986386},
ahigh={9769.363179999999,7.15960478,2.494961726,1.968240938e-006,-4.30417485e-010,
4.912083080000001e-014,-2.271600083e-018},
bhigh={11495.54438,4.83703644},
R_s=R_NASA_2002/Ominus.MM);
constant IdealGases.Common.DataRecord OD(
name="OD",
MM=0.018013502,
Hf=1952535.825626799,
H0=0,
Tlimit=1000,
alow={2.118691536e+004,-2.785982360e+002,5.456210120e+000,-6.148119830e-003,9.117670560e-006,
-5.527812710e-009,1.239794711e-012},
blow={4.464878250e+003,-7.616618910e+000},
ahigh={7.832473160e+005,-2.532992554e+003,5.952124650e+000,-3.743595280e-004,4.959527620e-008,
3.454454730e-012,-7.380626800e-016},
bhigh={1.930492973e+004,-1.568898441e+001},
R_s=R_NASA_2002/OD.MM);
constant IdealGases.Common.DataRecord ODminus(
name="ODminus",
MM=0.0180140506,
Hf=-8191266.876978795,
H0=0,
Tlimit=1000,
alow={5.606128320e+004,-7.514156150e+002,7.544188470e+000,-1.092083064e-002,1.503688938e-005,
-9.351665840e-009,2.246466046e-012},
blow={-1.515707370e+004,-2.106498377e+001},
ahigh={3.029467029e+005,-1.079684654e+003,4.211417380e+000,6.260830070e-004,-2.411665054e-007,
4.248425540e-011,-2.387099102e-015},
bhigh={-1.188935343e+004,-4.724898790e+000},
R_s=R_NASA_2002/ODminus.MM);
constant IdealGases.Common.DataRecord OH(
name="OH",
MM=0.01700734,
Hf=2191889.266634288,
H0=518194.2620068747,
Tlimit=1000,
alow={-1998.85899,93.0013616,3.050854229,0.001529529288,-3.157890998e-006,
3.31544618e-009,-1.138762683e-012},
blow={2991.214235,4.67411079},
ahigh={1017393.379,-2509.957276,5.11654786,0.000130529993,-8.284322259999999e-008,
2.006475941e-011,-1.556993656e-015},
bhigh={20196.40206,-11.01282337},
R_s=R_NASA_2002/OH.MM);
constant IdealGases.Common.DataRecord OHplus(
name="OHplus",
MM=0.0170067914,
Hf=76393787.19021624,
H0=505862.7931427441,
Tlimit=1000,
alow={60316.3086,-757.35203,7.30775293,-0.00950688167,1.202555795e-005,-6.8290261e-009,
1.501588659e-012},
blow={158926.2158,-19.50106996},
ahigh={504072.91,-1380.052958,4.1254622,0.000833194884,-3.44285629e-007,
6.792853949999999e-011,-4.36387213e-015},
bhigh={164383.9235,-3.99705849},
R_s=R_NASA_2002/OHplus.MM);
constant IdealGases.Common.DataRecord OHminus(
name="OHminus",
MM=0.0170078886,
Hf=-8540519.015393833,
H0=506006.6068400753,
Tlimit=1000,
alow={29108.80827,-321.690494,4.85102905,-0.002579035357,2.004980024e-006,-7.956852959999999e-011,
-2.320495634e-013},
blow={-16888.86234,-7.1215913},
ahigh={471133.117,-857.233669,3.16618121,0.001233581296,-3.99924458e-007,
6.23908167e-011,-3.35434322e-015},
bhigh={-12248.49139,1.48773626},
R_s=R_NASA_2002/OHminus.MM);
constant IdealGases.Common.DataRecord O2(
name="O2",
MM=0.0319988,
Hf=0,
H0=271263.4223783392,
Tlimit=1000,
alow={-34255.6342,484.700097,1.119010961,0.00429388924,-6.83630052e-007,-2.0233727e-009,
1.039040018e-012},
blow={-3391.45487,18.4969947},
ahigh={-1037939.022,2344.830282,1.819732036,0.001267847582,-2.188067988e-007,
2.053719572e-011,-8.193467050000001e-016},
bhigh={-16890.10929,17.38716506},
R_s=R_NASA_2002/O2.MM);
constant IdealGases.Common.DataRecord O2plus(
name="O2plus",
MM=0.0319982514,
Hf=36621639.76872811,
H0=290988.1506837588,
Tlimit=1000,
alow={-86072.0545,1051.875934,-0.543238047,0.00657116654,-3.27426375e-006,
5.940645339999999e-011,3.23878479e-013},
blow={134554.4668,29.0270975},
ahigh={73846.5488,-845.955954,4.98516416,-0.000161101089,6.42708399e-008,-1.504939874e-011,
1.578465409e-015},
bhigh={144632.1044,-5.81123065},
R_s=R_NASA_2002/O2plus.MM);
constant IdealGases.Common.DataRecord O2minus(
name="O2minus",
MM=0.0319993486,
Hf=-1500903.084008404,
H0=292181.2914654145,
Tlimit=1000,
alow={18838.74344,114.9551768,1.518876821,0.00801611138,-9.850571029999999e-006,
6.04419621e-009,-1.486439845e-012},
blow={-7101.53876,15.0121038},
ahigh={-56552.0805,-236.7815862,4.67583367,-2.1972453e-005,1.71150928e-008,
-1.757645062e-012,8.24817279e-017},
bhigh={-5960.17775,-2.436885556},
R_s=R_NASA_2002/O2minus.MM);
constant IdealGases.Common.DataRecord O3(
name="O3",
MM=0.0479982,
Hf=2954277.45207112,
H0=215972.786479493,
Tlimit=1000,
alow={-12823.14507,589.8216640000001,-2.547496763,0.02690121526,-3.52825834e-005,
2.312290922e-008,-6.04489327e-012},
blow={13483.68701,38.5221858},
ahigh={-38696624.8,102334.4994,-89.615516,0.0370614497,-4.13763874e-006,-2.725018591e-010,
5.24818811e-014},
bhigh={-651791.818,702.9109520000001},
R_s=R_NASA_2002/O3.MM);
constant IdealGases.Common.DataRecord P(
name="P",
MM=0.030973761,
Hf=10218326.40860114,
H0=200086.389250566,
Tlimit=1000,
alow={50.4086657,-0.7639418649999999,2.504563992,-1.381689958e-005,
2.245585515e-008,-1.866399889e-011,6.227063395e-015},
blow={37324.2191,5.359303481},
ahigh={1261794.642,-4559.83819,8.91807931,-0.00438140146,1.454286224e-006,-2.030782763e-010,
1.021022887e-014},
bhigh={65417.23959999999,-39.15974795},
R_s=R_NASA_2002/P.MM);
constant IdealGases.Common.DataRecord Pplus(
name="Pplus",
MM=0.0309732124,
Hf=43148687.41222335,
H0=262867.7934614235,
Tlimit=1000,
alow={-73169.0811,962.7979140000001,-0.369393805,0.004766778340000001,-4.57476858e-006,
2.371262331e-009,-5.131314899999999e-013},
blow={154940.6849,23.76640762},
ahigh={-559424.936,1722.576545,0.8430381089999999,0.0006287368940000001,-6.317195459999999e-008,
-1.810842484e-012,4.31811257e-016},
bhigh={149049.3431,18.45275207},
R_s=R_NASA_2002/Pplus.MM);
constant IdealGases.Common.DataRecord Pminus(
name="Pminus",
MM=0.0309743096,
Hf=7710479.041637784,
H0=217853.6047176335,
Tlimit=1000,
alow={-10089.49093,182.6468403,1.962456304,0.0009197377539999999,-9.21499863e-007,
5.012872360000001e-010,-1.142677121e-013},
blow={27030.82432,9.478137822000001},
ahigh={15434.88016,9.495009339999999,2.493170861,2.700167711e-006,-5.94921039e-010,
6.82376629e-014,-3.16695991e-018},
bhigh={27975.72693,6.246793872},
R_s=R_NASA_2002/Pminus.MM);
constant IdealGases.Common.DataRecord PCL(
name="PCL",
MM=0.066426761,
Hf=2026519.28189002,
H0=139870.0141348153,
Tlimit=1000,
alow={34888.617,-560.3119340000001,6.26456848,-0.00318336437,
3.49532684e-006,-2.091034291e-009,5.4187586e-013},
blow={17746.53764,-8.074572148},
ahigh={-347168.151,993.555793,3.39943027,0.00040197117,
8.295588390000001e-008,-3.090212484e-011,2.106384858e-015},
bhigh={8433.59115,10.64902238},
R_s=R_NASA_2002/PCL.MM);
constant IdealGases.Common.DataRecord PCL2(
name="PCL2",
MM=0.101879761,
Hf=-532906.1676931104,
H0=120227.5788613207,
Tlimit=1000,
alow={51900.845,-1060.9042,10.5854994,-0.00687991753,7.62077318e-006,-4.53011547e-009,
1.11667166e-012},
blow={-3220.33118,-27.53518359},
ahigh={-83498.33970000001,-26.2524947,7.02036181,-8.388768680000001e-006,
1.89678474e-009,-2.21487992e-013,1.04165355e-017},
bhigh={-8742.99368,-6.23402319},
R_s=R_NASA_2002/PCL2.MM);
constant IdealGases.Common.DataRecord PCL2minus(
name="PCL2minus",
MM=0.1018803096,
Hf=-3497096.292687356,
H0=122234.0906588686,
Tlimit=1000,
alow={49348.3277,-960.159054,9.8847697,-0.00495020295,4.94621787e-006,-2.678675201e-009,
6.07672361e-013},
blow={-39980.724,-24.13131695},
ahigh={-85649.8676,-31.8555594,7.02449496,-1.002251172e-005,
2.253747944e-009,-2.619657192e-013,1.227059658e-017},
bhigh={-45038.1143,-6.721522361},
R_s=R_NASA_2002/PCL2minus.MM);
constant IdealGases.Common.DataRecord PCL3(
name="PCL3",
MM=0.137332761,
Hf=-2108018.493853772,
H0=116013.585425549,
Tlimit=1000,
alow={77177.4547,-1617.65086,15.3608047,-0.0101107705,1.10340834e-005,-6.47612102e-009,
1.57915114e-012},
blow={-29558.9364,-52.44338688},
ahigh={-133307.693,-41.4588321,10.0318606,-1.30194616e-005,2.92291689e-009,
-3.39186924e-013,1.58642553e-017},
bhigh={-38003.3668,-20.50737678},
R_s=R_NASA_2002/PCL3.MM);
constant IdealGases.Common.DataRecord PCL5(
name="PCL5",
MM=0.208238761,
Hf=-1805619.6559871,
H0=111917.0412274975,
Tlimit=1000,
alow={102907.02,-2515.70746,24.3011497,-0.0156461069,1.70987303e-005,-1.00601143e-008,
2.46015879e-012},
blow={-37225.8237,-98.16335170000001},
ahigh={-225590.689,-69.38542820000001,16.0535963,-2.20215696e-005,
4.97139229e-009,-5.79986005e-013,2.72597077e-017},
bhigh={-50342.3422,-48.7245487},
R_s=R_NASA_2002/PCL5.MM);
constant IdealGases.Common.DataRecord PF(
name="PF",
MM=0.0499721642,
Hf=-959429.9900263273,
H0=177921.1915740883,
Tlimit=1000,
alow={22278.66728,-172.7508706,3.085366934,0.00548971823,-8.247972539999999e-006,
5.86888291e-009,-1.617252113e-012},
blow={-5809.27965,7.70971885},
ahigh={-1132572.282,3200.03855,0.778050237,0.001969518902,-4.36581897e-007,
5.243648570000001e-011,-2.618755712e-015},
bhigh={-27667.73009,27.59312302},
R_s=R_NASA_2002/PF.MM);
constant IdealGases.Common.DataRecord PFplus(
name="PFplus",
MM=0.0499716156,
Hf=18040601.43294627,
H0=188704.0850446308,
Tlimit=1000,
alow={-17791.38157,390.999127,1.257434156,0.007861363749999999,-9.34231268e-006,
5.630915650000001e-009,-1.370669924e-012},
blow={105487.3882,19.01676576},
ahigh={-40115.2518,-159.7504413,4.62139748,-2.378072183e-005,
1.431831329e-008,-2.300109157e-012,1.694069882e-016},
bhigh={107863.3756,-0.04072343949999999},
R_s=R_NASA_2002/PFplus.MM);
constant IdealGases.Common.DataRecord PFminus(
name="PFminus",
MM=0.0499727128,
Hf=-3282711.520115834,
H0=190416.7788145374,
Tlimit=1000,
alow={7705.21095,-115.2432706,4.25495231,0.001163521526,-1.627947259e-006,
1.084382815e-009,-2.809490132e-013},
blow={-20355.58966,2.217923793},
ahigh={-130379.3388,271.5526386,4.13761981,0.0002728610614,-7.64441625e-008,
1.182073001e-011,-6.083906640000001e-016},
bhigh={-22907.99827,3.7485261},
R_s=R_NASA_2002/PFminus.MM);
constant IdealGases.Common.DataRecord PFCL(
name="PFCL",
MM=0.0854251642,
Hf=-3314996.484373161,
H0=136147.0136922488,
Tlimit=1000,
alow={54901.8853,-865.867948,7.94446765,0.0009503779099999999,-3.33909021e-006,
3.023977817e-009,-9.45037754e-013},
blow={-31328.43217,-14.40426886},
ahigh={-128214.3211,-97.3904355,7.07266166,-2.903614134e-005,
6.408504490000001e-009,-7.33899377e-013,3.39672317e-017},
bhigh={-36006.4926,-7.626493035},
R_s=R_NASA_2002/PFCL.MM);
constant IdealGases.Common.DataRecord PFCLminus(
name="PFCLminus",
MM=0.0854257128,
Hf=-6195665.094877616,
H0=137462.042927197,
Tlimit=1000,
alow={89343.3685,-1266.972513,9.912194530000001,-0.0038779283,
3.036692411e-006,-1.29655938e-009,2.32422658e-013},
blow={-58945.0571,-26.1705046},
ahigh={-123156.515,-97.6586111,7.07402957,-2.997070692e-005,
6.685280620000001e-009,-7.7222622e-013,3.5993823e-017},
bhigh={-65588.1722,-8.208878059},
R_s=R_NASA_2002/PFCLminus.MM);
constant IdealGases.Common.DataRecord PFCL2(
name="PFCL2",
MM=0.1208781642,
Hf=-4235052.239484623,
H0=122997.8970842114,
Tlimit=1000,
alow={82665.60560000001,-1512.138928,13.03404207,-0.002903247162,
7.83665297e-007,6.45834066e-010,-3.73764182e-013},
blow={-56442.3787,-41.00905668},
ahigh={-186458.9813,-114.8004379,10.08599754,-3.44745652e-005,
7.62797201e-009,-8.75309743e-013,4.05778835e-017},
bhigh={-64504.7219,-21.74054563},
R_s=R_NASA_2002/PFCL2.MM);
constant IdealGases.Common.DataRecord PFCL4(
name="PFCL4",
MM=0.1917841642,
Hf=-3311099.44686455,
H0=113324.5807372035,
Tlimit=1000,
alow={141207.1573,-2882.47108,23.87345233,-0.01239510207,1.141290085e-005,-5.705483820000001e-009,
1.195229703e-012},
blow={-66134.7865,-98.5969355},
ahigh={-295437.588,-132.5154294,16.1000538,-4.03535917e-005,
8.971130739999999e-009,-1.03328881e-012,4.80446835e-017},
bhigh={-81357.19399999999,-50.62403920000001},
R_s=R_NASA_2002/PFCL4.MM);
constant IdealGases.Common.DataRecord PF2(
name="PF2",
MM=0.06897056739999999,
Hf=-7439458.284056397,
H0=160669.2161271099,
Tlimit=1000,
alow={55247.6572,-628.05178,5.13743792,0.009120673350000001,-1.46877376e-005,
1.08126845e-008,-3.06494449e-012},
blow={-59775.4147,-1.689589472},
ahigh={-170846.712,-169.205154,7.1254916,-4.990852849999999e-005,
1.09733523e-008,-1.25287026e-012,5.78479114e-017},
bhigh={-63382.9584,-10.41715673},
R_s=R_NASA_2002/PF2.MM);
constant IdealGases.Common.DataRecord PF2minus(
name="PF2minus",
MM=0.068971116,
Hf=-10284565.30991901,
H0=160133.0185812856,
Tlimit=1000,
alow={140479.3057,-1699.945753,10.36823971,-0.00359958769,1.9619258e-006,-3.82932987e-010,
-3.37554952e-014},
blow={-78104.34510000001,-32.17375182},
ahigh={-165397.6056,-164.0604822,7.12409152,-5.0154314e-005,
1.117302152e-008,-1.289308601e-012,6.00470667e-017},
bhigh={-87002.23319999999,-11.09074866},
R_s=R_NASA_2002/PF2minus.MM);
constant IdealGases.Common.DataRecord PF2CL(
name="PF2CL",
MM=0.1044235674,
Hf=-7039375.308681516,
H0=132884.9257452202,
Tlimit=1000,
alow={83975.9016,-1318.075883,10.17203515,0.005571231219999999,-1.100920478e-005,
8.72638318e-009,-2.567714099e-012},
blow={-83816.56169999999,-27.66012951},
ahigh={-240928.1185,-203.348467,10.15150769,-6.04836731e-005,
1.333942001e-008,-1.526772528e-012,7.063339179999999e-017},
bhigh={-91011.1059,-24.17825549},
R_s=R_NASA_2002/PF2CL.MM);
constant IdealGases.Common.DataRecord PF2CL3(
name="PF2CL3",
MM=0.1753295674,
Hf=-5011961.045881188,
H0=115013.3334555869,
Tlimit=1000,
alow={184209.9543,-3334.40239,23.88510873,-0.01030943175,
7.356504219999999e-006,-2.498621785e-009,2.513997646e-013},
blow={-92795.49890000001,-102.7991502},
ahigh={-365527.254,-202.969416,16.15238015,-6.11879657e-005,
1.355610375e-008,-1.55712964e-012,7.22435997e-017},
bhigh={-110494.1533,-53.87308191},
R_s=R_NASA_2002/PF2CL3.MM);
constant IdealGases.Common.DataRecord PF3(
name="PF3",
MM=0.0879689706,
Hf=-10883383.00959952,
H0=147057.4557342837,
Tlimit=1000,
alow={84809.84480000001,-1102.340691,7.16071511,0.01438278338,-2.318137222e-005,
1.702244315e-008,-4.81099195e-012},
blow={-111183.7495,-14.57652362},
ahigh={-295704.0675,-299.7689931,10.22297023,-8.890263450000001e-005,
1.958901359e-008,-2.240491075e-012,1.035952523e-016},
bhigh={-117374.3464,-27.77419177},
R_s=R_NASA_2002/PF3.MM);
constant IdealGases.Common.DataRecord PF3CL2(
name="PF3CL2",
MM=0.1588749706,
Hf=-7062301.328916815,
H0=119887.8837117469,
Tlimit=1000,
alow={182249.7206,-3089.610245,20.67710388,-0.001168732391,-5.02054074e-006,
5.80457335e-009,-1.965367906e-012},
blow={-122812.0667,-86.27977355},
ahigh={-422383.8050000001,-320.796522,16.24013,-9.62365531e-005,
2.129279712e-008,-2.443515401e-012,1.13290435e-016},
bhigh={-139264.2151,-55.31285745},
R_s=R_NASA_2002/PF3CL2.MM);
constant IdealGases.Common.DataRecord PF4CL(
name="PF4CL",
MM=0.1424203738,
Hf=-9583666.708505718,
H0=128637.5292465354,
Tlimit=1000,
alow={180424.0323,-2741.096618,16.80192838,0.00991931525,-2.025636171e-005,
1.617979147e-008,-4.77261152e-012},
blow={-153238.2587,-66.79119965},
ahigh={-478114.004,-426.481283,16.31812121,-0.0001271374903,
2.806715254e-008,-3.2151663e-012,1.488512118e-016},
bhigh={-168048.8362,-57.35844805},
R_s=R_NASA_2002/PF4CL.MM);
constant IdealGases.Common.DataRecord PF5(
name="PF5",
MM=0.125965777,
Hf=-12648673.61553289,
H0=131286.5239580112,
Tlimit=1000,
alow={185577.8473,-2436.979828,12.01012406,0.02339343049,-3.81394441e-005,
2.796136412e-008,-7.87070488e-012},
blow={-181456.6568,-44.8648874},
ahigh={-566872.784,-667.791791,16.49789569,-0.000199009944,4.3950071e-008,-5.03684954e-012,
2.332945909e-016},
bhigh={-194432.1623,-62.61721040000001},
R_s=R_NASA_2002/PF5.MM);
constant IdealGases.Common.DataRecord PH(
name="PH",
MM=0.031981701,
Hf=7215129.176525038,
H0=270407.881056733,
Tlimit=1000,
alow={22736.33198,-397.267406,6.23369766,-0.0091817846,1.523328123e-005,-1.085888585e-008,
2.929760547e-012},
blow={28527.68404,-10.95191197},
ahigh={781473.0649999999,-3038.451204,7.46748102,-0.001837522255,
7.1659477e-007,-1.142128853e-010,6.175410560000001e-015},
bhigh={45362.6018,-24.6729814},
R_s=R_NASA_2002/PH.MM);
constant IdealGases.Common.DataRecord PH2(
name="PH2",
MM=0.032989641,
Hf=3623970.021377317,
H0=302566.8269624395,
Tlimit=1000,
alow={15552.68372,-184.1602025,4.89589604,-0.0034954366,1.053418945e-005,-8.377562920000002e-009,
2.27076615e-012},
blow={14098.39468,-2.210564792},
ahigh={1127884.913,-4715.238249999999,10.214983,-0.00116757382,
2.150542671e-007,-1.624213739e-011,3.76622524e-016},
bhigh={41830.7463,-42.3162325},
R_s=R_NASA_2002/PH2.MM);
constant IdealGases.Common.DataRecord PH2minus(
name="PH2minus",
MM=0.0329901896,
Hf=-280853.735984591,
H0=301910.4200601502,
Tlimit=1000,
alow={69506.84490000001,-771.916291,7.38353762,-0.00852294721,
1.474476507e-005,-9.84716081e-009,2.413107871e-012},
blow={1582.29585,-17.61306419},
ahigh={1382525.815,-5213.40067,10.21694832,-0.001116316349,2.215004171e-007,
-2.338005187e-011,1.015580932e-015},
bhigh={29906.83733,-43.78711584999999},
R_s=R_NASA_2002/PH2minus.MM);
constant IdealGases.Common.DataRecord PH3(
name="PH3",
MM=0.033997581,
Hf=159981.9704819587,
H0=298157.1541810578,
Tlimit=1000,
alow={-6384.32534,405.756741,-0.1565680086,0.01338380613,-8.27539143e-006,
3.024360831e-009,-6.421764630000001e-013},
blow={-2159.842124,23.85561888},
ahigh={1334801.106,-6725.46352,14.45857073,-0.001639736883,3.40921857e-007,
-3.73627208e-011,1.672947506e-015},
bhigh={39103.2571,-71.9878119},
R_s=R_NASA_2002/PH3.MM);
constant IdealGases.Common.DataRecord PN(
name="PN",
MM=0.044980461,
Hf=3812484.380718108,
H0=193464.1132290752,
Tlimit=1000,
alow={-51032.0384,820.2926679999999,-1.392772765,0.01287989789,-1.401425371e-005,
7.775633459999999e-009,-1.75153933e-012},
blow={15732.2652,32.51070633},
ahigh={-249562.5593,176.043883,4.14412196,0.0002478018097,-5.674896300000001e-008,
4.263645119999999e-012,3.063920924e-016},
bhigh={17703.17267,1.325517397},
R_s=R_NASA_2002/PN.MM);
constant IdealGases.Common.DataRecord PO(
name="PO",
MM=0.046973161,
Hf=-593055.4045532512,
H0=199903.7918695742,
Tlimit=1000,
alow={-68457.54059999999,1141.295708,-2.77955606,0.01678458047,-1.974879516e-005,
1.19260232e-008,-2.927460912e-012},
blow={-9847.74504,41.84328297},
ahigh={-336666.744,622.9355840000001,3.56560546,0.0006516620719999999,-2.061770841e-007,
3.18441323e-011,-1.573691908e-015},
bhigh={-8939.79039,6.954859188},
R_s=R_NASA_2002/PO.MM);
constant IdealGases.Common.DataRecord POminus(
name="POminus",
MM=0.0469737096,
Hf=-2981818.876829775,
H0=186872.743812424,
Tlimit=1000,
alow={54343.46320000001,-412.362355,3.74648388,0.00385863647,-5.96334304e-006,
4.278286360000001e-009,-1.139722989e-012},
blow={-15558.10937,3.404436468},
ahigh={-848.0294779999999,347.054487,2.877890167,0.001622182445,-4.87019099e-007,
6.64575227e-011,-3.39570376e-015},
bhigh={-19872.0954,10.75444355},
R_s=R_NASA_2002/POminus.MM);
constant IdealGases.Common.DataRecord POCL3(
name="POCL3",
MM=0.153332161,
Hf=-3706984.864056015,
H0=115539.7268548246,
Tlimit=1000,
alow={47937.8816,-1270.38828,13.6771646,0.0010826721,-1.73610406e-006,
8.460890640000001e-010,-1.17466133e-013},
blow={-65075.7188,-43.14705941},
ahigh={-218593.797,-508.026968,13.3778465,-0.000151073105,3.34098678e-008,-3.83532976e-012,
1.77932988e-016},
bhigh={-70093.15090000001,-39.84746301},
R_s=R_NASA_2002/POCL3.MM);
constant IdealGases.Common.DataRecord POFCL2(
name="POFCL2",
MM=0.1368775642,
Hf=-5799995.906122357,
H0=120210.9936436172,
Tlimit=1000,
alow={46940.6156,-1069.2426,10.71284279,0.009491183299999999,-1.306412424e-005,
8.426906020000001e-009,-2.140294969e-012},
blow={-92748.94989999999,-28.15077719},
ahigh={-270764.7503,-655.650227,13.48668421,-0.0001942765035,
4.29118449e-008,-4.9218448e-012,2.282079808e-016},
bhigh={-96543.92140000001,-41.64963494},
R_s=R_NASA_2002/POFCL2.MM);
constant IdealGases.Common.DataRecord POF2CL(
name="POF2CL",
MM=0.1204229674,
Hf=-8491794.06618741,
H0=123700.323298959,
Tlimit=1000,
alow={52264.3816,-969.1037700000001,7.96363598,0.01755599796,-2.398693997e-005,
1.572376747e-008,-4.079746e-012},
blow={-120265.6893,-15.93967075},
ahigh={-334708.659,-817.6104810000001,13.6066432,-0.0002420426112,
5.34371272e-008,-6.126461349999999e-012,2.839570116e-016},
bhigh={-123340.1194,-44.96103437000001},
R_s=R_NASA_2002/POF2CL.MM);
constant IdealGases.Common.DataRecord POF3(
name="POF3",
MM=0.1039683706,
Hf=-12042123.89570718,
H0=136256.3337123223,
Tlimit=1000,
alow={29660.3071,-427.670575,3.6691461,0.0283949378,-3.768318e-005,
2.44910454e-008,-6.34197287e-012},
blow={-150112.453,5.160417996},
ahigh={-369060.242,-1005.55254,13.7452994,-0.000297103711,6.55452664e-008,-7.50998733e-012,
3.47896991e-016},
bhigh={-149976.173,-48.82214181000001},
R_s=R_NASA_2002/POF3.MM);
constant IdealGases.Common.DataRecord PO2(
name="PO2",
MM=0.062972561,
Hf=-4470633.439856448,
H0=166943.5994511959,
Tlimit=1000,
alow={-63726.9822,1036.741044,-2.877797967,0.02278134083,-2.567920328e-005,
1.465060412e-008,-3.3879967e-012},
blow={-39935.4472,44.2530938},
ahigh={492621.0990000001,-2605.465745,9.51760561,-0.001180371565,
2.532912819e-007,-1.789964539e-011,1.800381054e-016},
bhigh={-20288.84763,-29.69743125},
R_s=R_NASA_2002/PO2.MM);
constant IdealGases.Common.DataRecord PO2minus(
name="PO2minus",
MM=0.06297310960000001,
Hf=-9490141.979585521,
H0=168544.1463414727,
Tlimit=1000,
alow={27024.23135,29.39956284,1.162686114,0.01599897972,-1.979229263e-005,
1.208847527e-008,-2.95664048e-012},
blow={-72859.4627,19.63118182},
ahigh={1628679.152,-5989.19998,13.69318836,-0.00362384379,
9.488198340000001e-007,-1.040308759e-010,4.01903366e-015},
bhigh={-36859.595,-59.5679622},
R_s=R_NASA_2002/PO2minus.MM);
constant IdealGases.Common.DataRecord PS(
name="PS",
MM=0.063038761,
Hf=2386330.467377048,
H0=152542.9092745018,
Tlimit=1000,
alow={-768.9786800000001,-46.3782407,4.10464917,0.001555262273,-2.315757288e-006,
1.661425178e-009,-4.6312384e-013},
blow={17078.75808,4.230652171},
ahigh={-270272.9081,888.354822,3.16919012,0.001022480817,-3.80374048e-007,
7.019861879999999e-011,-4.26912231e-015},
bhigh={11215.10462,11.47334049},
R_s=R_NASA_2002/PS.MM);
constant IdealGases.Common.DataRecord P2(
name="P2",
MM=0.061947522,
Hf=2324548.187738647,
H0=143736.2902102848,
Tlimit=1000,
alow={30539.2251,-324.617759,4.02246381,0.00323209479,-5.511052450000001e-006,
4.19557293e-009,-1.21503218e-012},
blow={17969.1087,1.645350331},
ahigh={-780693.649,2307.91087,1.41174313,0.00210823742,-7.36085662e-007,
1.25936012e-010,-7.07975249e-015},
bhigh={1329.82474,21.69741365},
R_s=R_NASA_2002/P2.MM);
constant IdealGases.Common.DataRecord P2O3(
name="P2O3",
MM=0.109945722,
Hf=-6227120.633215725,
H0=146389.3338205556,
Tlimit=1000,
alow={-66457.5389,758.090055,0.988843677,0.0285987873,-3.23114211e-005,
1.83452517e-008,-4.2124893e-012},
blow={-88200.3674,26.89914458},
ahigh={-217534.411,-1369.902,14.0114296,-0.000402385696,8.86834578e-008,-1.01565728e-011,
4.70435606e-016},
bhigh={-79227.56999999999,-47.39487232000001},
R_s=R_NASA_2002/P2O3.MM);
constant IdealGases.Common.DataRecord P2O4(
name="P2O4",
MM=0.125945122,
Hf=-7413980.090471467,
H0=137564.5179810934,
Tlimit=1000,
alow={-43760.9126,490.510283,0.964364937,0.0388607358,-4.67550922e-005,
2.81262563e-008,-6.8244061e-012},
blow={-116899.779,23.79582767},
ahigh={-367011.486,-1638.42373,17.2118861,-0.000482658015,1.0644619e-007,-1.21961007e-011,
5.65065458e-016},
bhigh={-109043.593,-67.14276593},
R_s=R_NASA_2002/P2O4.MM);
constant IdealGases.Common.DataRecord P2O5(
name="P2O5",
MM=0.141944522,
Hf=-7921195.817616688,
H0=155341.7116019454,
Tlimit=1000,
alow={-29991.5922,-45.9450659,6.98748683,0.0288330297,-3.10450953e-005,
1.64386868e-008,-3.4679423e-012},
blow={-138190.14,-3.400572711},
ahigh={-324708.016,-2016.97508,20.4869934,-0.000591064115,1.30199302e-007,-1.49068294e-011,
6.90357341e-016},
bhigh={-130629.016,-80.31642952},
R_s=R_NASA_2002/P2O5.MM);
constant IdealGases.Common.DataRecord P3(
name="P3",
MM=0.09292128300000001,
Hf=2259977.404745907,
H0=129201.8535732013,
Tlimit=1000,
alow={46933.5895,-864.358932,8.734247529999999,1.09453456e-005,-1.99857332e-006,
2.09675051e-009,-6.92288971e-013},
blow={27748.4734,-20.63587261},
ahigh={-125351.306,-83.0673462,7.56195677,-2.47440395e-005,5.45727693e-009,
-6.24466057e-013,2.88772422e-017},
bhigh={23087.2228,-12.28310621},
R_s=R_NASA_2002/P3.MM);
constant IdealGases.Common.DataRecord P3O6(
name="P3O6",
MM=0.188917683,
Hf=-8340569.310285264,
H0=124071.403098883,
Tlimit=1000,
alow={201449.3813,-3053.488073,16.02114098,0.043168899,-6.37654426e-005,
4.42286792e-008,-1.200020334e-011},
blow={-177650.3811,-65.5626789},
ahigh={-878796.8100000001,-1651.988071,27.72258397,-0.00048593267,
1.067867708e-007,-1.218015776e-011,5.61491196e-016},
bhigh={-190916.5548,-122.0665277},
R_s=R_NASA_2002/P3O6.MM);
constant IdealGases.Common.DataRecord P4(
name="P4",
MM=0.123895044,
Hf=475402.3897840498,
H0=113875.8060411198,
Tlimit=1000,
alow={120514.185,-2345.71179,17.7394655,-0.0145631497,1.58759409e-005,-9.314710310000001e-009,
2.27149167e-012},
blow={16088.4648,-70.88590647000001},
ahigh={-185870.586,-62.8454689,10.0484488,-1.98766885e-005,
4.482408440000001e-009,-5.22610367e-013,2.45579129e-017},
bhigh={3848.21092,-24.77297797},
R_s=R_NASA_2002/P4.MM);
constant IdealGases.Common.DataRecord P4O6(
name="P4O6",
MM=0.219891444,
Hf=-7303603.863731961,
H0=112771.659273837,
Tlimit=1000,
alow={376089.475,-5685.83262,29.1422545,0.0225153212,-4.51026963e-005,
3.58831269e-008,-1.05757206e-011},
blow={-168856.248,-145.1359851},
ahigh={-1008997.24,-887.275399,28.6606483,-0.000263601894,5.81094072e-008,-6.64808696e-012,
3.07439193e-016},
bhigh={-199713.89,-128.1853821},
R_s=R_NASA_2002/P4O6.MM);
constant IdealGases.Common.DataRecord P4O7(
name="P4O7",
MM=0.235890844,
Hf=-8412569.183906095,
H0=111798.8157268198,
Tlimit=1000,
alow={321858.696,-4871.44473,24.54417068,0.0401550955,-6.52419715e-005,
4.75655418e-008,-1.332975491e-011},
blow={-218451.7427,-118.1504792},
ahigh={-1102947.375,-1511.077128,32.109795,-0.000437180376,
9.516639610000001e-008,-1.075204176e-011,4.91102568e-016},
bhigh={-242909.654,-147.3140859},
R_s=R_NASA_2002/P4O7.MM);
constant IdealGases.Common.DataRecord P4O8(
name="P4O8",
MM=0.251890244,
Hf=-9139750.874988236,
H0=110946.4803249784,
Tlimit=1000,
alow={271932.6942,-4118.600390000001,20.28714235,0.0568541699,-8.40073963e-005,
5.823389060000001e-008,-1.57864716e-011},
blow={-260453.9703,-94.0716207},
ahigh={-1173177.311,-2200.632995,35.6301013,-0.000648984974,
1.429623989e-007,-1.635821725e-011,7.571070759999999e-016},
bhigh={-278384.3144,-167.963696},
R_s=R_NASA_2002/P4O8.MM);
constant IdealGases.Common.DataRecord P4O9(
name="P4O9",
MM=0.267889644,
Hf=-9757671.375307065,
H0=110199.6873010888,
Tlimit=1000,
alow={219991.6395,-3336.46494,15.86413106,0.07402452330000001,-0.0001034835052,
6.94443832e-008,-1.84073345e-011},
blow={-301874.2692,-69.9796767},
ahigh={-1233696.783,-2917.032808,39.1775711,-0.000873640298,
1.937914895e-007,-2.230510118e-011,1.037248818e-015},
bhigh={-312963.7516,-189.717642},
R_s=R_NASA_2002/P4O9.MM);
constant IdealGases.Common.DataRecord P4O10(
name="P4O10",
MM=0.283889044,
Hf=-10237180.71698463,
H0=109537.7002291078,
Tlimit=1000,
alow={167014.2268,-2540.2433,11.36853403,0.09137812159999999,-0.0001231990626,
8.08103223e-008,-2.106787011e-011},
blow={-341015.191,-46.4343134},
ahigh={-1337201.132,-3516.38233,42.6040331,-0.001037406404,2.287613089e-007,
-2.620219946e-011,1.213529528e-015},
bhigh={-345951.505,-211.5498906},
R_s=R_NASA_2002/P4O10.MM);
constant IdealGases.Common.DataRecord Pb(
name="Pb",
MM=0.2072,
Hf=942084.942084942,
H0=29910.36679536679,
Tlimit=1000,
alow={1213.382285,-19.06116019,2.619299546,-0.000382951961,6.68818045e-007,
-6.06123108e-010,2.240022429e-013},
blow={22820.96238,6.2013692},
ahigh={-9084313.07,26726.7318,-26.26244039,0.01358282305,-2.685523566e-006,
2.3524328e-010,-7.324114532e-015},
bhigh={-148165.0666,215.4011624},
R_s=R_NASA_2002/Pb.MM);
constant IdealGases.Common.DataRecord Pbplus(
name="Pbplus",
MM=0.2071994514,
Hf=4425670.636693588,
H0=29910.44598875806,
Tlimit=1000,
alow={9.48668904,-0.1134955793,2.500549799,-1.382464681e-006,
1.906022991e-009,-1.368396828e-012,4.003528117e-016},
blow={109543.8901,7.5388559},
ahigh={1320690.183,-4096.04801,7.38910151,-0.002807751909,7.83099165e-007,-9.31060091e-011,
4.016371727e-015},
bhigh={135434.7306,-27.22020908},
R_s=R_NASA_2002/Pbplus.MM);
constant IdealGases.Common.DataRecord Pbminus(
name="Pbminus",
MM=0.2072005486,
Hf=742671.4313245792,
H0=29910.28760239489,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={17762.2614,8.2351321},
ahigh={0,0,2.5,0,0,0,0},
bhigh={17762.2614,8.2351321},
R_s=R_NASA_2002/Pbminus.MM);
constant IdealGases.Common.DataRecord PbBr(
name="PbBr",
MM=0.287104,
Hf=225776.4503455194,
H0=35339.53549933125,
Tlimit=1000,
alow={-2393.487988,-45.7659121,4.69260828,-0.000384529063,5.8882135e-007,-4.08479289e-010,
1.202515201e-013},
blow={6662.43477,5.99170551},
ahigh={-2581831.67,7143.49076,-2.65819364,0.00310772226,-4.63138154e-007,
1.095529211e-011,1.508555088e-015},
bhigh={-39704.4098,59.5923865},
R_s=R_NASA_2002/PbBr.MM);
constant IdealGases.Common.DataRecord PbBr2(
name="PbBr2",
MM=0.367008,
Hf=-283122.0654590636,
H0=40930.81622198971,
Tlimit=1000,
alow={-6172.76636,-67.8320763,7.27315614,-0.000599059612,7.35863461e-007,-4.74360481e-010,
1.246922291e-013},
blow={-14278.90796,-0.698799215},
ahigh={-13204.21479,-1.143074947,7.00097254,-4.28447161e-007,
1.018044861e-010,-1.234016791e-014,5.97133765e-019},
bhigh={-14622.1375,0.8868582650000001},
R_s=R_NASA_2002/PbBr2.MM);
constant IdealGases.Common.DataRecord PbBr3(
name="PbBr3",
MM=0.446912,
Hf=-232732.5222862667,
H0=44681.37575182587,
Tlimit=1000,
alow={-11644.2425,-155.5151665,10.62317321,-0.001361947117,1.668738791e-006,
-1.073686019e-009,2.81825034e-013},
blow={-14782.08304,-14.43758579},
ahigh={-27879.30766,-2.633265111,10.00223199,-9.80776141e-007,
2.326232632e-010,-2.81599446e-014,1.361283735e-018},
bhigh={-15569.81182,-10.81765474},
R_s=R_NASA_2002/PbBr3.MM);
constant IdealGases.Common.DataRecord PbBr4(
name="PbBr4",
MM=0.5268160000000001,
Hf=-346298.3489491587,
H0=49109.15575836725,
Tlimit=1000,
alow={-11764.58199,-256.7166983,14.02223292,-0.002224117068,
2.716201994e-006,-1.743340164e-009,4.567359749999999e-013},
blow={-24621.25551,-28.8202075},
ahigh={-38802.1603,-4.38293377,13.00369823,-1.620061335e-006,
3.83413088e-010,-4.63396718e-014,2.237427066e-018},
bhigh={-25923.27065,-22.87710636},
R_s=R_NASA_2002/PbBr4.MM);
constant IdealGases.Common.DataRecord PbCL(
name="PbCL",
MM=0.242653,
Hf=36344.56610880558,
H0=40333.80176630827,
Tlimit=1000,
alow={-2902.700749,-82.93459710000001,4.71482448,-0.0001931473228,
9.10557902e-008,5.419385229999999e-011,-3.2849697e-014},
blow={125.4460217,4.323194455},
ahigh={-385428.553,692.21975,4.50997124,-0.0006853421299999999,
5.0873955e-007,-9.772753809999999e-011,5.807471579999999e-015},
bhigh={-5269.68472,6.646491015},
R_s=R_NASA_2002/PbCL.MM);
constant IdealGases.Common.DataRecord PbCL2(
name="PbCL2",
MM=0.278106,
Hf=-631225.0400926265,
H0=50349.61129928876,
Tlimit=1000,
alow={2830.580143,-313.4256659,8.21282729,-0.002585096173,3.109456077e-006,
-1.972978208e-009,5.12354248e-013},
blow={-21675.69042,-9.219412244000001},
ahigh={-31491.92744,-5.56547758,7.00459954,-1.986025455e-006,
4.65171959e-010,-5.57913701e-014,2.67814357e-018},
bhigh={-23274.39309,-2.140739285},
R_s=R_NASA_2002/PbCL2.MM);
constant IdealGases.Common.DataRecord PbCL3(
name="PbCL3",
MM=0.313559,
Hf=-566571.2258299076,
H0=58220.91855121364,
Tlimit=1000,
alow={862.3588970000001,-525.315275,12.03336337,-0.00433518498,
5.21569835e-006,-3.31002238e-009,8.596970609999999e-013},
blow={-21805.76379,-26.94206962},
ahigh={-56644.1279,-9.329514789999999,10.00771099,-3.32972757e-006,
7.79933081e-010,-9.3546061e-014,4.4905897e-018},
bhigh={-24485.08643,-15.0749087},
R_s=R_NASA_2002/PbCL3.MM);
constant IdealGases.Common.DataRecord PbCL4(
name="PbCL4",
MM=0.349012,
Hf=-938163.6218811962,
H0=67188.05657112076,
Tlimit=1000,
alow={17394.05796,-890.213932,16.37565058,-0.00708899226,8.43256734e-006,-5.30530939e-009,
1.368671294e-012},
blow={-38882.1562,-48.50133784},
ahigh={-82666.7956,-16.39486405,13.01336711,-5.7161414e-006,1.32936839e-009,
-1.585922492e-013,7.58176361e-018},
bhigh={-43439.84220000001,-28.74559263},
R_s=R_NASA_2002/PbCL4.MM);
constant IdealGases.Common.DataRecord PbF(
name="PbF",
MM=0.2261984032,
Hf=-437084.3807972558,
H0=40973.37058478404,
Tlimit=1000,
alow={26848.64255,-475.172564,6.01964437,-0.002718531008,2.942882954e-006,-1.687543009e-009,
4.08612208e-013},
blow={-10790.38653,-4.98304884},
ahigh={-473420.275,1027.785283,3.88865873,-0.0001649813448,2.93116326e-007,
-5.76645965e-011,3.24748619e-015},
bhigh={-20261.65076,9.319483890000001},
R_s=R_NASA_2002/PbF.MM);
constant IdealGases.Common.DataRecord PbF2(
name="PbF2",
MM=0.2451968064,
Hf=-1808454.997886954,
H0=51275.5862712574,
Tlimit=1000,
alow={59205.5228,-1052.529292,10.28969284,-0.00587634627,6.10233313e-006,-3.42479264e-009,
8.024025419999999e-013},
blow={-49990.50000000001,-25.25115478},
ahigh={-85058.99769999999,-30.74244334,7.02334604,-9.455183590000001e-006,
2.108489027e-009,-2.434212002e-013,1.133872429e-017},
bhigh={-55522.3677,-5.49607322},
R_s=R_NASA_2002/PbF2.MM);
constant IdealGases.Common.DataRecord PbF3(
name="PbF3",
MM=0.2641952096,
Hf=-1853071.498689279,
H0=58801.39546633173,
Tlimit=1000,
alow={85530.9087,-1731.036694,15.5659615,-0.01022225919,1.089984998e-005,-6.269998819999999e-009,
1.502616508e-012},
blow={-53003.3567,-53.3573348},
ahigh={-145970.4258,-48.2039643,10.03685845,-1.501095764e-005,
3.36247499e-009,-3.89602071e-013,1.820152103e-017},
bhigh={-62068.6959,-20.06978661},
R_s=R_NASA_2002/PbF3.MM);
constant IdealGases.Common.DataRecord PbF4(
name="PbF4",
MM=0.2831936128,
Hf=-2824658.243845816,
H0=69303.21205323456,
Tlimit=1000,
alow={130996.3563,-2307.299499,19.4520144,-0.01024522729,9.39587496e-006,-4.62689415e-009,
9.450881430000001e-013},
blow={-88041.47459999999,-75.24645820000001},
ahigh={-213261.6322,-85.7862195,13.06428551,-2.575563598e-005,
5.69332459e-009,-6.526219550000001e-013,3.02234196e-017},
bhigh={-100290.8979,-35.9024028},
R_s=R_NASA_2002/PbF4.MM);
constant IdealGases.Common.DataRecord PbI(
name="PbI",
MM=0.33410447,
Hf=325958.8954317193,
H0=30945.78171911319,
Tlimit=1000,
alow={-2717.33406,-15.42541996,4.5653279,-0.0001061215818,2.414841342e-007,
-1.876070301e-010,6.460614269999999e-014},
blow={11818.64978,7.66980267},
ahigh={-3901070.25,11479.76718,-8.17610902,0.0065234547,-1.522611682e-006,
1.626692202e-010,-6.55332888e-015},
bhigh={-61544.3369,99.38404970000001},
R_s=R_NASA_2002/PbI.MM);
constant IdealGases.Common.DataRecord PbI2(
name="PbI2",
MM=0.46100894,
Hf=-22239.54702483644,
H0=33073.91392453257,
Tlimit=1000,
alow={-5904.98672,-48.3330703,7.19543803,-0.000429860009,5.29141207e-007,-3.41640282e-010,
8.99134192e-014},
blow={-3107.780155,1.324773678},
ahigh={-10883.39477,-0.816441837,7.0006973,-3.079876763e-007,
7.331718140000001e-011,-8.89919388e-015,4.3107125e-019},
bhigh={-3352.09638,2.458605463},
R_s=R_NASA_2002/PbI2.MM);
constant IdealGases.Common.DataRecord PbI3(
name="PbI3",
MM=0.58791341,
Hf=37004.44934569531,
H0=35830.12675284954,
Tlimit=1000,
alow={-10149.96331,-59.380782,10.24073798,-0.000530469453,
6.538623030000001e-007,-4.22589572e-010,1.113029818e-013},
blow={-113.8482403,-8.975540499999999},
ahigh={-16242.29573,-1.002945584,10.00085839,-3.79667974e-007,
9.04675172e-011,-1.098840054e-014,5.325388290000001e-019},
bhigh={-413.825893,-7.57941711},
R_s=R_NASA_2002/PbI3.MM);
constant IdealGases.Common.DataRecord PbI4(
name="PbI4",
MM=0.7148178799999999,
Hf=-57674.07356962029,
H0=38500.07361315585,
Tlimit=1000,
alow={-12170.96972,-72.2631744,13.29294204,-0.00064546609,7.95576185e-007,-5.14163283e-010,
1.354188031e-013},
blow={-8528.148679999998,-20.10457498},
ahigh={-19584.77744,-1.223385179,13.00104732,-4.63329569e-007,
1.104213978e-010,-1.341397771e-014,6.50170611e-019},
bhigh={-8893.193200000002,-18.40570345},
R_s=R_NASA_2002/PbI4.MM);
constant IdealGases.Common.DataRecord PbO(
name="PbO",
MM=0.2231994,
Hf=305274.6019926577,
H0=40152.92155803287,
Tlimit=1000,
alow={34240.25,-419.805011,4.72030641,0.001451061751,-3.20603546e-006,
2.713956273e-009,-8.333275609999999e-013},
blow={9253.186469999999,0.448289121},
ahigh={242699.685,-110.7731354,3.18068449,0.001991815065,-1.079782025e-006,
2.540990941e-010,-1.834652493e-014},
bhigh={8339.391539999999,10.50920926},
R_s=R_NASA_2002/PbO.MM);
constant IdealGases.Common.DataRecord PbO2(
name="PbO2",
MM=0.2391988,
Hf=569203.2485112802,
H0=51216.53620335888,
Tlimit=1000,
alow={70710.58289999999,-1076.757462,9.401711730000001,-0.001003861584,-1.233815617e-006,
1.858386979e-009,-6.83462121e-013},
blow={19996.45981,-25.03976748},
ahigh={-130779.667,-73.1436145,7.55408341,-2.143421561e-005,
4.696463999999999e-009,-5.34497218e-013,2.460760535e-017},
bhigh={14133.86101,-12.52684909},
R_s=R_NASA_2002/PbO2.MM);
constant IdealGases.Common.DataRecord PbS(
name="PbS",
MM=0.239265,
Hf=534743.1216433662,
H0=39412.83932041879,
Tlimit=1000,
alow={15298.40503,-343.974635,5.68063064,-0.002232931917,2.504608209e-006,-1.470427328e-009,
3.57752719e-013},
blow={15785.51202,-2.628900926},
ahigh={2105441.649,-5520.41358,9.36924926,-0.001410262019,-1.642683362e-007,
1.451447577e-010,-1.393564925e-014},
bhigh={50093.3453,-32.17417657},
R_s=R_NASA_2002/PbS.MM);
constant IdealGases.Common.DataRecord PbS2(
name="PbS2",
MM=0.27133,
Hf=899454.5571812922,
H0=51675.83754100174,
Tlimit=1000,
alow={24463.7588,-665.485546,9.920201179999999,-0.00492419438,
5.71690629e-006,-3.52948883e-009,8.971138350000001e-013},
blow={30443.1013,-22.95765552},
ahigh={-54167.003,-13.43600342,7.51070036,-4.497318629999999e-006,
1.032444494e-009,-1.219580043e-013,5.78580465e-018},
bhigh={27012.29533,-8.714618097000001},
R_s=R_NASA_2002/PbS2.MM);
constant IdealGases.Common.DataRecord Rb(
name="Rb",
MM=0.0854678,
Hf=946555.3108890132,
H0=72511.8465667772,
Tlimit=1000,
alow={13.52856616,-0.2042232679,2.501213823,-3.6506199e-006,5.88472267e-009,
-4.84227472e-012,1.596211946e-015},
blow={8985.56921,6.20700548},
ahigh={-1138274.064,3804.04194,-2.750899258,0.0038914607,-1.632296823e-006,
3.51189314e-010,-2.521064422e-014},
bhigh={-14664.54849,42.53442370000001},
R_s=R_NASA_2002/Rb.MM);
constant IdealGases.Common.DataRecord Rbplus(
name="Rbplus",
MM=0.0854672514,
Hf=5734700.952369694,
H0=72512.3120081992,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={58203.2736,5.52050692},
ahigh={0,0,2.5,0,0,0,0},
bhigh={58203.2736,5.52050692},
R_s=R_NASA_2002/Rbplus.MM);
constant IdealGases.Common.DataRecord Rbminus(
name="Rbminus",
MM=0.08546834859999999,
Hf=325483.3918716899,
H0=72511.3811313303,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={2600.405796,5.52052617},
ahigh={0,0,2.5,0,0,0,0},
bhigh={2600.405796,5.52052617},
R_s=R_NASA_2002/Rbminus.MM);
constant IdealGases.Common.DataRecord RbBO2(
name="RbBO2",
MM=0.1282776,
Hf=-5293030.91108658,
H0=111731.8846002731,
Tlimit=1000,
alow={41986.5775,-679.944833,8.18515101,0.002772536733,-6.17577047e-007,-9.42613625e-010,
4.72241424e-013},
blow={-80203.3959,-12.39198887},
ahigh={91544.63399999999,-1668.328341,11.17268757,-0.000450553353,
9.68133059e-008,-1.088037652e-011,4.96773366e-016},
bhigh={-75079.0325,-31.31951149},
R_s=R_NASA_2002/RbBO2.MM);
constant IdealGases.Common.DataRecord RbBr(
name="RbBr",
MM=0.1653718,
Hf=-1158062.474980619,
H0=62399.53849447124,
Tlimit=1000,
alow={-5703.8597,20.92281597,4.37060737,0.000449460478,-4.835438840000001e-007,
3.5260686e-010,-9.88653832e-014},
blow={-24491.12515,6.4274317},
ahigh={1609092.474,-4466.77459,9.06409206,-0.001995333358,4.01663352e-007,-4.1630914e-012,
-3.092443341e-015},
bhigh={4427.46769,-27.57714089},
R_s=R_NASA_2002/RbBr.MM);
constant IdealGases.Common.DataRecord RbCL(
name="RbCL",
MM=0.1209208,
Hf=-1846852.476993206,
H0=83171.14177213515,
Tlimit=1000,
alow={-5740.809579999999,-15.28835285,4.5152009,0.0001067270745,-6.38594559e-009,
-1.301381692e-011,1.641459742e-014},
blow={-28142.43986,4.190115141},
ahigh={-1143043.004,4003.86188,-1.096156782,0.00403358128,-1.454151464e-006,
2.719263762e-010,-1.81046398e-014},
bhigh={-52976.86040000001,43.11317822},
R_s=R_NASA_2002/RbCL.MM);
constant IdealGases.Common.DataRecord RbF(
name="RbF",
MM=0.1044662032,
Hf=-3192533.803123803,
H0=91781.98026057867,
Tlimit=1000,
alow={32873.6019,-608.090746,7.40662236,-0.00727786472,1.013930727e-005,-7.141372500000001e-009,
2.014332982e-012},
blow={-38498.3413,-13.75750778},
ahigh={-854481.1149999999,2633.756505,1.216216506,0.002136494067,-6.72842608e-007,
1.134905135e-010,-6.825624440000001e-015},
bhigh={-58101.7911,25.88118896},
R_s=R_NASA_2002/RbF.MM);
constant IdealGases.Common.DataRecord RbH(
name="RbH",
MM=0.08647574,
Hf=1379856.431410705,
H0=101995.1491597528,
Tlimit=1000,
alow={8908.270610000001,46.498704,1.833967623,0.00844427914,-1.167538647e-005,
8.01038942e-009,-2.162578321e-012},
blow={13282.48009,12.79544976},
ahigh={-2937703.53,9379.81726,-7.54256346,0.007493226800000001,-2.159228887e-006,
2.871300173e-010,-1.459981256e-014},
bhigh={-45955.18829999999,83.65664320000001},
R_s=R_NASA_2002/RbH.MM);
constant IdealGases.Common.DataRecord RbI(
name="RbI",
MM=0.21237227,
Hf=-652066.6469308824,
H0=49249.01918692116,
Tlimit=1000,
alow={-769.30528,-29.68608844,4.64874584,-0.0002962415236,5.97813534e-007,-4.351255250000001e-010,
1.313617336e-013},
blow={-17866.10717,5.81240983},
ahigh={4297424.85,-12969.11161,19.58730402,-0.008458425589999999,
2.463480035e-006,-3.19157573e-010,1.458455589e-014},
bhigh={64329.4804,-100.9499336},
R_s=R_NASA_2002/RbI.MM);
constant IdealGases.Common.DataRecord RbK(
name="RbK",
MM=0.1245661,
Hf=963450.9710105718,
H0=86766.2229129755,
Tlimit=1000,
alow={24946.95429,-455.306066,7.68618995,-0.01108112244,2.093398586e-005,-1.824445366e-008,
5.61764536e-012},
blow={15161.3616,-10.63563675},
ahigh={-4175391.07,5918.588510000001,9.20264942,-0.010609336,
4.96482606e-006,-8.716698790000001e-010,5.22188796e-014},
bhigh={-32727.6904,-13.72401997},
R_s=R_NASA_2002/RbK.MM);
constant IdealGases.Common.DataRecord RbLi(
name="RbLi",
MM=0.0924088,
Hf=1776684.947753893,
H0=111202.8724537057,
Tlimit=1000,
alow={-2263.413044,-28.8849691,4.55582654,0.000362566753,-9.598002220000001e-007,
1.631010244e-009,-8.159825980000001e-013},
blow={18534.5525,2.831743182},
ahigh={10855151.94,-38051.0697,55.1655504,-0.03128845612,9.26165025e-006,-1.264671408e-009,
6.43166205e-014},
bhigh={254396.4131,-352.075871},
R_s=R_NASA_2002/RbLi.MM);
constant IdealGases.Common.DataRecord RbNO2(
name="RbNO2",
MM=0.1314733,
Hf=-1427132.178168495,
H0=119950.0050580612,
Tlimit=1000,
alow={-71994.2003,1265.802595,-2.415715742,0.0305464142,-3.68400405e-005,
2.247716481e-008,-5.54752743e-012},
blow={-30373.81667,48.14256904},
ahigh={-164499.4453,-849.944344,10.63080575,-0.0002517893988,
5.56142012e-008,-6.378805599999999e-012,2.957679896e-016},
bhigh={-21285.90982,-25.68367325},
R_s=R_NASA_2002/RbNO2.MM);
constant IdealGases.Common.DataRecord RbNO3(
name="RbNO3",
MM=0.1474727,
Hf=-2135801.968771169,
H0=110986.7589052075,
Tlimit=1000,
alow={-26646.69172,880.763479,-3.159459457,0.0427122902,-5.35102921e-005,
3.36096975e-008,-8.503290509999999e-012},
blow={-43535.95460000001,49.43052899},
ahigh={-314741.3867,-1371.457846,14.01319759,-0.000403027502,
8.878332289999999e-008,-1.016221214e-011,4.704254090000001e-016},
bhigh={-35043.3994,-46.19379241},
R_s=R_NASA_2002/RbNO3.MM);
constant IdealGases.Common.DataRecord RbNa(
name="RbNa",
MM=0.10845757,
Hf=1212182.127997151,
H0=98334.56530512347,
Tlimit=1000,
alow={29744.55567,-508.279059,7.73403352,-0.0101300684,1.745455325e-005,-1.39872547e-008,
3.96810677e-012},
blow={16823.79436,-12.4008529},
ahigh={4297114.27,-18310.13588,34.543942,-0.02230134993,7.33987453e-006,-1.064784996e-009,
5.61759846e-014},
bhigh={124261.0951,-199.366198},
R_s=R_NASA_2002/RbNa.MM);
constant IdealGases.Common.DataRecord RbO(
name="RbO",
MM=0.1014672,
Hf=517303.3650283047,
H0=101876.5078764369,
Tlimit=1000,
alow={190008.1316,-3428.22899,24.80251273,-0.0505165458,
6.476338760000001e-005,-4.198012420000001e-008,1.093889043e-011},
blow={20838.9845,-109.755915},
ahigh={617075.688,-2175.08962,8.29041221,-0.002996487663,1.233144275e-006,-2.115810631e-010,
1.24260743e-014},
bhigh={18281.64827,-21.17386042},
R_s=R_NASA_2002/RbO.MM);
constant IdealGases.Common.DataRecord RbOH(
name="RbOH",
MM=0.10247514,
Hf=-2322514.514251945,
H0=114771.2703783572,
Tlimit=1000,
alow={12138.32721,-544.141159,8.459814639999999,-0.00356152656,
2.99287239e-006,-7.2802674e-010,-4.55384718e-014},
blow={-27872.62486,-19.13421991},
ahigh={895858.313,-2332.339,7.97119248,0.0001044439355,-6.32825775e-008,
1.029358824e-011,-5.74327779e-016},
bhigh={-15155.68947,-19.50051629},
R_s=R_NASA_2002/RbOH.MM);
constant IdealGases.Common.DataRecord Rb2Br2(
name="Rb2Br2",
MM=0.3307436,
Hf=-1668366.169443641,
H0=65599.35248936033,
Tlimit=1000,
alow={-8005.5254,-21.11968088,10.08629404,-0.000191193609,2.36605949e-007,-1.53372238e-010,
4.04872506e-014},
blow={-69273.136,-9.622434630000001},
ahigh={-10145.35336,-0.360155032,10.00031058,-1.380745805e-007,
3.30206795e-011,-4.02158182e-015,1.953006729e-019},
bhigh={-69379.6088,-9.12256236},
R_s=R_NASA_2002/Rb2Br2.MM);
constant IdealGases.Common.DataRecord Rb2CL2(
name="Rb2CL2",
MM=0.2418416,
Hf=-2556936.176406375,
H0=85947.05790897844,
Tlimit=1000,
alow={-11250.39522,-67.56953990000001,10.27381915,-0.000603184899,
7.43332478e-007,-4.803372160000001e-010,1.264973638e-013},
blow={-77067.575,-13.63652575},
ahigh={-18188.75133,-1.13790358,10.00097318,-4.3021564e-007,
1.024725787e-010,-1.244291058e-014,6.02891239e-019},
bhigh={-77408.9767,-12.04843385},
R_s=R_NASA_2002/Rb2CL2.MM);
constant IdealGases.Common.DataRecord Rb2F2(
name="Rb2F2",
MM=0.2089324064,
Hf=-4091817.840662175,
H0=90410.85739392509,
Tlimit=1000,
alow={-8178.3471,-333.473354,11.31540799,-0.002842914926,3.45495958e-006,-2.209373419e-009,
5.77207327e-013},
blow={-104223.0504,-23.68991587},
ahigh={-43765.7439,-5.76145204,10.00482691,-2.104159548e-006,
4.96241627e-010,-5.98217497e-014,2.882751742e-018},
bhigh={-105917.6154,-16.03254014},
R_s=R_NASA_2002/Rb2F2.MM);
constant IdealGases.Common.DataRecord Rb2I2(
name="Rb2I2",
MM=0.42474454,
Hf=-1019333.837699244,
H0=52307.95432944236,
Tlimit=1000,
alow={-5839.66355,-9.5275379,10.03904495,-8.668754e-005,1.074384368e-007,-6.97212223e-011,
1.842065721e-014},
blow={-55027.8096,-7.17411332},
ahigh={-6799.83464,-0.1642527699,10.000142,-6.321420729999999e-008,
1.51281117e-011,-1.843027189e-015,8.951244179999999e-020},
bhigh={-55075.7962,-6.94804539},
R_s=R_NASA_2002/Rb2I2.MM);
constant IdealGases.Common.DataRecord Rb2O(
name="Rb2O",
MM=0.186935,
Hf=-582712.8199641587,
H0=76046.64188086768,
Tlimit=1000,
alow={19712.76138,-462.750886,8.58829313,-0.003085559728,3.45198014e-006,-2.068570368e-009,
5.132480499999999e-013},
blow={-12848.54711,-12.64891828},
ahigh={-38463.6009,-10.82831019,7.00842189,-3.47622812e-006,7.86978506e-010,
-9.195683850000001e-014,4.325201520000001e-018},
bhigh={-15253.73768,-3.23038878},
R_s=R_NASA_2002/Rb2O.MM);
constant IdealGases.Common.DataRecord Rb2O2(
name="Rb2O2",
MM=0.2029344,
Hf=-1063636.662882192,
H0=83017.6254001293,
Tlimit=1000,
alow={32605.5323,-757.816472,10.70815124,0.001148004329,-3.29124367e-006,
2.853106637e-009,-8.72159068e-013},
blow={-24753.17258,-24.3427646},
ahigh={-131856.7396,-96.47737790000001,10.07222726,-2.894921706e-005,
6.4056391e-009,-7.35141939e-013,3.40856171e-017},
bhigh={-28821.79733,-19.10948823},
R_s=R_NASA_2002/Rb2O2.MM);
constant IdealGases.Common.DataRecord Rb2O2H2(
name="Rb2O2H2",
MM=0.20495028,
Hf=-3117829.358418052,
H0=114210.036697681,
Tlimit=1000,
alow={-4577.07653,-841.7631,17.04083828,-0.00535788254,3.95177877e-006,-2.051775094e-010,
-4.08541691e-013},
blow={-76949.8217,-54.3541278},
ahigh={1792711.652,-4659.406599999999,16.93822422,0.0002106246492,-1.26961747e-007,
2.063382927e-011,-1.150861507e-015},
bhigh={-50241.1763,-60.27054920000001},
R_s=R_NASA_2002/Rb2O2H2.MM);
constant IdealGases.Common.DataRecord Rb2SO4(
name="Rb2SO4",
MM=0.2669982,
Hf=-4107114.025487812,
H0=87348.70871788649,
Tlimit=1000,
alow={60948.54930000001,-688.97059,7.03424218,0.0393394547,-5.49892051e-005,
3.71634108e-008,-9.919863380000001e-012},
blow={-131187.7657,-4.450168488},
ahigh={-530289.831,-951.543545,19.71013517,-0.0002842916301,
6.289142939999999e-008,-7.2193243e-012,3.34871819e-016},
bhigh={-133871.3151,-70.56246881999999},
R_s=R_NASA_2002/Rb2SO4.MM);
constant IdealGases.Common.DataRecord Rn(
name="Rn",
MM=0.2220176,
Hf=0,
H0=27914.12933028733,
Tlimit=1000,
alow={3.38943209e-006,-1.311675533e-007,2.500000001,-2.978593139e-012,
4.33705073e-015,-3.18204022e-018,9.24778703e-022},
blow={-745.374999,6.95244198},
ahigh={27301.90029,-82.84672620000001,2.598178483,-5.81372985e-005,
1.819136527e-008,-2.866656182e-012,1.789322176e-016},
bhigh={-220.280934,6.25500571},
R_s=R_NASA_2002/Rn.MM);
constant IdealGases.Common.DataRecord Rnplus(
name="Rnplus",
MM=0.2220170514,
Hf=4699054.678103881,
H0=27914.19830558113,
Tlimit=1000,
alow={-0.09697148970000001,0.001106742047,2.499994937,1.189388239e-008,-1.515895754e-011,
9.95893481e-015,-2.640751817e-018},
blow={124730.476,8.338761699999999},
ahigh={-19982.85319,59.3067566,2.432476003,3.71602592e-005,-1.012057848e-008,
1.192256661e-012,-3.18452198e-017},
bhigh={124352.8478,8.821997789999999},
R_s=R_NASA_2002/Rnplus.MM);
constant IdealGases.Common.DataRecord S(
name="S",
MM=0.032065,
Hf=8644004.366131296,
H0=207622.7974426945,
Tlimit=1000,
alow={-317.484182,-192.4704923,4.68682593,-0.0058413656,7.53853352e-006,-4.86358604e-009,
1.256976992e-012},
blow={33235.9218,-5.718523969},
ahigh={-485424.479,1438.830408,1.258504116,0.000379799043,1.630685864e-009,
-9.547095849999999e-012,8.041466646e-016},
bhigh={23349.9527,15.59554855},
R_s=R_NASA_2002/S.MM);
constant IdealGases.Common.DataRecord Splus(
name="Splus",
MM=0.03206445140000001,
Hf=39997454.25240614,
H0=193280.337863507,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={153502.6117,5.43622334},
ahigh={1346218.684,-4056.87151,7.15343655,-0.002523562352,6.42953961e-007,-6.43167216e-011,
2.141387919e-015},
bhigh={179282.3835,-27.86935079},
R_s=R_NASA_2002/Splus.MM);
constant IdealGases.Common.DataRecord Sminus(
name="Sminus",
MM=0.0320655486,
Hf=2194520.539093474,
H0=201615.2937423937,
Tlimit=1000,
alow={-2596.051473,-142.2398653,4.00782567,-0.00360885591,4.23623e-006,-2.520987604e-009,
6.07947976e-013},
blow={8197.79307,-2.582377345},
ahigh={2730.311692,141.4072078,2.403340775,3.69357753e-005,-7.94408044e-009,
8.95220838e-013,-4.09966282e-017},
bhigh={6931.1957,6.574986902},
R_s=R_NASA_2002/Sminus.MM);
constant IdealGases.Common.DataRecord SCL(
name="SCL",
MM=0.067518,
Hf=2317382.031458278,
H0=145430.122337747,
Tlimit=1000,
alow={16130.51454,-560.624955,8.06493113,-0.0091863264,1.224205395e-005,-8.209562019999999e-009,
2.205087197e-012},
blow={19977.3928,-16.9335441},
ahigh={-94051.23449999999,362.976085,4.06995936,0.0003034029742,-8.24830139e-008,
1.252700734e-011,-6.41746365e-016},
bhigh={15231.11069,6.014528409},
R_s=R_NASA_2002/SCL.MM);
constant IdealGases.Common.DataRecord SCL2(
name="SCL2",
MM=0.102971,
Hf=-170659.7003039691,
H0=120862.4272853522,
Tlimit=1000,
alow={57923.1183,-1062.447681,10.37694738,-0.00613022902,
6.463485999999999e-006,-3.67903805e-009,8.73193165e-013},
blow={1262.475821,-26.91769492},
ahigh={-234103.9963,428.7569580000001,6.47141539,0.000317947674,-9.74748308e-008,
1.39331857e-011,-6.39479517e-016},
bhigh={-7210.4737,-2.774273151},
R_s=R_NASA_2002/SCL2.MM);
constant IdealGases.Common.DataRecord SCL2plus(
name="SCL2plus",
MM=0.1029704514,
Hf=8753805.919510614,
H0=120940.0059015377,
Tlimit=1000,
alow={49348.7687,-960.1641020000001,9.88479278,-0.004950257170000001,
4.94628697e-006,-2.678720604e-009,6.07684403e-013},
blow={111281.2037,-23.42664942},
ahigh={-233940.3605,551.628326,6.12521216,0.000677105632,-2.674382769e-007,
4.93593888e-011,-2.955831247e-015},
bhigh={102678.7381,0.1365611954},
R_s=R_NASA_2002/SCL2plus.MM);
constant IdealGases.Common.DataRecord SD(
name="SD",
MM=0.034079102,
Hf=4063806.962988637,
H0=272731.4528416858,
Tlimit=1000,
alow={-32955.7499,164.7104687,4.97898455,-0.008031585710000001,
1.653766397e-005,-1.345197981e-008,4.00043153e-012},
blow={14358.62329,-1.997334017},
ahigh={245673.249,-1180.034105,5.28469005,-0.0002384319882,
6.009960290000001e-008,-7.13116364e-012,4.0358587e-016},
bhigh={22655.45124,-8.350483655},
R_s=R_NASA_2002/SD.MM);
constant IdealGases.Common.DataRecord SF(
name="SF",
MM=0.0510634032,
Hf=302478.0964853514,
H0=185457.9484823683,
Tlimit=1000,
alow={12064.56774,-291.027077,5.48010157,-0.001975880235,2.47368599e-006,-1.610904623e-009,
4.31003854e-013},
blow={1991.337574,-4.544138975},
ahigh={763458.075,-2423.63843,7.35219871,-0.001598026079,4.86851502e-007,-6.47800053e-011,
2.98029731e-015},
bhigh={15774.61591,-19.02584835},
R_s=R_NASA_2002/SF.MM);
constant IdealGases.Common.DataRecord SFplus(
name="SFplus",
MM=0.0510628546,
Hf=19477372.06998999,
H0=173596.2094058094,
Tlimit=1000,
alow={65783.0367,-698.669997,5.62129224,-0.000690927411,-1.28239278e-007,
4.02132042e-010,-1.424033453e-013},
blow={122175.1247,-6.682377715},
ahigh={-937494.39,2377.21424,2.052929113,0.001081609837,-1.535468024e-007,
8.2226919e-012,3.25974688e-017},
bhigh={102684.9122,18.87705768},
R_s=R_NASA_2002/SFplus.MM);
constant IdealGases.Common.DataRecord SFminus(
name="SFminus",
MM=0.0510639518,
Hf=-4530532.495920145,
H0=173803.7634603909,
Tlimit=1000,
alow={50198.7928,-532.154931,4.90484901,0.0009915307419999999,-2.270841545e-006,
1.844749756e-009,-5.3570572e-013},
blow={-26113.88646,-3.637468065},
ahigh={206892.3125,-1324.372811,6.64621124,-0.001641781588,6.78388312e-007,
-1.198331099e-010,7.12173954e-015},
bhigh={-21509.94816,-14.70239183},
R_s=R_NASA_2002/SFminus.MM);
constant IdealGases.Common.DataRecord SF2(
name="SF2",
MM=0.0700618064,
Hf=-4184715.597056031,
H0=157694.6637219448,
Tlimit=1000,
alow={68708.71130000001,-843.241825,6.2694964,0.00648414245,-1.145126533e-005,
8.770291560000001e-009,-2.542611601e-012},
blow={-32299.807,-8.80002578},
ahigh={-170261.2287,-149.7038204,7.11093414,-4.4077416e-005,9.68220831e-009,
-1.104468959e-012,5.09530878e-017},
bhigh={-37042.8949,-10.9525396},
R_s=R_NASA_2002/SF2.MM);
constant IdealGases.Common.DataRecord SF2plus(
name="SF2plus",
MM=0.07006125780000001,
Hf=10077122.83749493,
H0=160347.9633789846,
Tlimit=1000,
alow={131164.8923,-1552.127914,9.803424720000001,-0.002488118587,
7.501565130000001e-007,3.135384495e-010,-1.986281446e-013},
blow={91377.5839,-27.92300566},
ahigh={-384753.102,532.789302,6.2819089,0.000452279012,-1.426421096e-007,
2.079708115e-011,-9.69170989e-016},
bhigh={78842.1381,-4.21611053},
R_s=R_NASA_2002/SF2plus.MM);
constant IdealGases.Common.DataRecord SF2minus(
name="SF2minus",
MM=0.07006235499999999,
Hf=-5634908.504003327,
H0=173058.3421011184,
Tlimit=1000,
alow={52845.7248,-1032.342905,10.06404631,-0.00520950325,5.16838137e-006,-2.783420867e-009,
6.28641008e-013},
blow={-44233.03780000001,-26.9926697},
ahigh={-93766.18949999999,-36.3899527,7.02794282,-1.142143365e-005,
2.566295898e-009,-2.981125977e-013,1.395700722e-017},
bhigh={-49670.5033,-8.483087898999999},
R_s=R_NASA_2002/SF2minus.MM);
constant IdealGases.Common.DataRecord SF3(
name="SF3",
MM=0.0890602096,
Hf=-5660231.401476514,
H0=152124.7823337708,
Tlimit=1000,
alow={128400.8253,-2084.871223,14.23421102,-0.00401503219,
9.152258039999999e-007,1.109809721e-009,-5.98860272e-013},
blow={-52395.1734,-51.87194724},
ahigh={-241128.346,-141.8950375,10.10590548,-4.231526910000001e-005,
9.336120599999999e-009,-1.068727665e-012,4.9443426e-017},
bhigh={-63584.4586,-24.89561796},
R_s=R_NASA_2002/SF3.MM);
constant IdealGases.Common.DataRecord SF3plus(
name="SF3plus",
MM=0.08905966100000001,
Hf=4419323.760956152,
H0=139335.2260795154,
Tlimit=1000,
alow={215763.3857,-2564.488498,13.23216044,-0.0001749580869,-3.71295871e-006,
3.58068842e-009,-1.084376153e-012},
blow={58760.8842,-50.24130184},
ahigh={-377826.075,-162.1770252,9.96026597,0.0001237729568,-6.442207889999999e-008,
1.300856025e-011,-7.915106980000001e-016},
bhigh={44154.26809999999,-26.7390077},
R_s=R_NASA_2002/SF3plus.MM);
constant IdealGases.Common.DataRecord SF3minus(
name="SF3minus",
MM=0.08906075819999999,
Hf=-8871743.548664289,
H0=154084.6190550397,
Tlimit=1000,
alow={154650.0675,-2469.768526,16.57548496,-0.01020137434,9.36800846e-006,-4.7256726e-009,
1.009661431e-012},
blow={-85001.579,-65.32166474},
ahigh={-225386.0964,-130.8890242,10.0997238,-4.05234553e-005,
9.064565220000001e-009,-1.049320641e-012,4.89920126e-017},
bhigh={-98002.272,-25.24368023},
R_s=R_NASA_2002/SF3minus.MM);
constant IdealGases.Common.DataRecord SF4(
name="SF4",
MM=0.1080586128,
Hf=-7033220.03037966,
H0=142356.8339570615,
Tlimit=1000,
alow={163618.3265,-2531.316261,15.59106568,0.00332670431,-1.054935525e-005,
9.39136305e-009,-2.914816694e-012},
blow={-81155.5892,-61.31532958},
ahigh={-377712.516,-293.7595659,13.21902007,-8.74766945e-005,
1.929905265e-008,-2.209423506e-012,1.022335559e-016},
bhigh={-94831.7534,-42.43061278},
R_s=R_NASA_2002/SF4.MM);
constant IdealGases.Common.DataRecord SF4plus(
name="SF4plus",
MM=0.1080580642,
Hf=3850818.215934689,
H0=152747.0172836948,
Tlimit=1000,
alow={230958.7324,-3383.77767,21.01756367,-0.01106529555,
9.038097280000001e-006,-4.05591264e-009,7.71257518e-013},
blow={64253.7515,-89.38224908000001},
ahigh={-418917.275,40.0288964,12.83873264,0.0001340235036,-4.81813518e-008,
7.574595959999999e-012,-3.69667078e-016},
bhigh={44699.4423,-37.60378598},
R_s=R_NASA_2002/SF4plus.MM);
constant IdealGases.Common.DataRecord SF4minus(
name="SF4minus",
MM=0.1080591614,
Hf=-8212763.346505111,
H0=171020.3999417675,
Tlimit=1000,
alow={100552.3355,-2267.351994,19.7928456,-0.01163761842,1.161792139e-005,-6.28889547e-009,
1.426371272e-012},
blow={-98955.9743,-79.16366078},
ahigh={320882.208,-1710.416599,14.94425485,-0.001057207329,2.74284692e-007,
-2.905761211e-011,1.084482543e-015},
bhigh={-100523.1225,-51.64256578},
R_s=R_NASA_2002/SF4minus.MM);
constant IdealGases.Common.DataRecord SF5(
name="SF5",
MM=0.127057016,
Hf=-7104395.455029419,
H0=148055.4131697851,
Tlimit=1000,
alow={222417.685,-4043.99175,27.07196786,-0.01744176604,1.604198715e-005,-7.99724302e-009,
1.667968061e-012},
blow={-92200.7827,-123.2426279},
ahigh={-389242.637,-182.5826536,16.13765057,-5.54483423e-005,
1.231433706e-008,-1.417173409e-012,6.5848894e-017},
bhigh={-113567.1054,-55.77524201},
R_s=R_NASA_2002/SF5.MM);
constant IdealGases.Common.DataRecord SF5plus(
name="SF5plus",
MM=0.1270564674,
Hf=1358797.466456241,
H0=128662.0377106439,
Tlimit=1000,
alow={377713.562,-5646.07512,30.4940427,-0.02176488368,1.941993792e-005,-9.55620114e-009,
2.000077302e-012},
blow={45922.0481,-148.9889627},
ahigh={-981434.232,720.881739,15.64386818,-0.0002452519972,2.241690996e-007,
-3.99003589e-011,2.279087545e-015},
bhigh={9090.95319,-55.31460631},
R_s=R_NASA_2002/SF5plus.MM);
constant IdealGases.Common.DataRecord SF5minus(
name="SF5minus",
MM=0.1270575646,
Hf=-9480917.494305568,
H0=149931.356389307,
Tlimit=1000,
alow={209503.1134,-3930.08114,27.02127215,-0.01792973203,1.718122152e-005,-9.00056019e-009,
1.988018147e-012},
blow={-129181.6581,-123.1672857},
ahigh={-373321.92,-179.3729521,16.13699748,-5.57753997e-005,
1.249477046e-008,-1.448104799e-012,6.7674623e-017},
bhigh={-149855.4401,-56.31439391},
R_s=R_NASA_2002/SF5minus.MM);
constant IdealGases.Common.DataRecord SF6(
name="SF6",
MM=0.1460554192,
Hf=-8348885.694752777,
H0=115983.830608868,
Tlimit=1000,
alow={330952.674,-4737.68505,22.47738068,0.01046954309,-2.560641961e-005,
2.153716967e-008,-6.51609896e-012},
blow={-125536.0583,-109.1760145},
ahigh={-730672.65,-636.705655,19.47442853,-0.0001894325671,4.17872283e-008,
-4.78374495e-012,2.213516129e-016},
bhigh={-151060.9837,-81.47574587},
R_s=R_NASA_2002/SF6.MM);
constant IdealGases.Common.DataRecord SF6minus(
name="SF6minus",
MM=0.1460559678,
Hf=-9187409.821127487,
H0=119753.504519245,
Tlimit=1000,
alow={498580.921,-6934.44574,34.4131833,-0.0198403236,1.497871222e-005,-6.133234650000001e-009,
1.045159581e-012},
blow={-129706.9066,-174.7984495},
ahigh={-681807.3509999999,-594.742996,19.45009842,-0.0001820212649,
4.05707957e-008,-4.683820930000001e-012,2.182263999e-016},
bhigh={-165890.2452,-79.65845887},
R_s=R_NASA_2002/SF6minus.MM);
constant IdealGases.Common.DataRecord SH(
name="SH",
MM=0.03307294,
Hf=4297631.507812732,
H0=275092.2355254779,
Tlimit=1000,
alow={6389.43468,-374.796092,7.54814577,-0.01288875477,1.907786343e-005,-1.265033728e-008,
3.23515869e-012},
blow={17429.02395,-17.60761843},
ahigh={1682631.601,-5177.15221,9.198168519999999,-0.002323550224,
6.543914779999999e-007,-8.468470419999999e-011,3.86474155e-015},
bhigh={48992.14490000001,-37.70400275},
R_s=R_NASA_2002/SH.MM);
constant IdealGases.Common.DataRecord SHminus(
name="SHminus",
MM=0.0330734886,
Hf=-2617628.186946085,
H0=261420.9859917832,
Tlimit=1000,
alow={38780.7076,-574.25906,6.89854446,-0.01001352412,1.486460572e-005,-9.7503689e-009,
2.446909813e-012},
blow={-8735.38898,-16.15966489},
ahigh={1198715.402,-3894.84682,7.66042233,-0.00135523759,3.34237024e-007,-3.35072231e-011,
9.05508478e-016},
bhigh={13174.77387,-28.18370616},
R_s=R_NASA_2002/SHminus.MM);
constant IdealGases.Common.DataRecord SN(
name="SN",
MM=0.0460717,
Hf=5803743.143838843,
H0=203880.3213252387,
Tlimit=1000,
alow={-68354.1235,1147.567483,-2.877802574,0.0172486432,-2.058999904e-005,
1.26136964e-008,-3.139030141e-012},
blow={25641.43612,42.24006964},
ahigh={-483728.446,1058.07559,3.086198804,0.000911136078,-2.764061722e-007,
4.157370109999999e-011,-2.128351755e-015},
bhigh={23793.45477,10.33222139},
R_s=R_NASA_2002/SN.MM);
constant IdealGases.Common.DataRecord SO(
name="SO",
MM=0.0480644,
Hf=99040.16278160134,
H0=183048.2852173334,
Tlimit=1000,
alow={-33427.57,640.38625,-1.006641228,0.01381512705,-1.704486364e-005,
1.06129493e-008,-2.645796205e-012},
blow={-3371.29219,30.93861963},
ahigh={-1443410.557,4113.87436,-0.538369578,0.002794153269,-6.63335226e-007,
7.838221189999999e-011,-3.56050907e-015},
bhigh={-27088.38059,36.15358329},
R_s=R_NASA_2002/SO.MM);
constant IdealGases.Common.DataRecord SOminus(
name="SOminus",
MM=0.0480649486,
Hf=-2204685.307829498,
H0=196965.0291064703,
Tlimit=1000,
alow={8420.196969999999,-69.1658668,3.83766661,0.002166482062,-2.811222562e-006,
1.793426453e-009,-4.52179595e-013},
blow={-13541.62531,4.316141603},
ahigh={176715.6147,-663.398736,5.17727981,-0.0002853461125,7.21442153e-008,
-3.67646949e-012,-2.910092894e-016},
bhigh={-9984.43801,-3.951456757},
R_s=R_NASA_2002/SOminus.MM);
constant IdealGases.Common.DataRecord SOF2(
name="SOF2",
MM=0.08606120640000001,
Hf=-6796933.687882859,
H0=146696.1192865639,
Tlimit=1000,
alow={61145.7965,-908.1119669999999,6.88362326,0.01192459695,-1.67100641e-005,
1.110723646e-008,-2.910788226e-012},
blow={-67429.3584,-11.25458745},
ahigh={-251055.5779,-607.4439609999999,10.45046709,-0.0001796384979,
3.96416973e-008,-4.54305524e-012,2.104969923e-016},
bhigh={-70720.71710000001,-29.04334504},
R_s=R_NASA_2002/SOF2.MM);
constant IdealGases.Common.DataRecord SO2(
name="SO2",
MM=0.0640638,
Hf=-4633037.690552231,
H0=164650.3485587805,
Tlimit=1000,
alow={-53108.4214,909.031167,-2.356891244,0.02204449885,-2.510781471e-005,
1.446300484e-008,-3.36907094e-012},
blow={-41137.52080000001,40.45512519},
ahigh={-112764.0116,-825.226138,7.61617863,-0.000199932761,5.65563143e-008,
-5.45431661e-012,2.918294102e-016},
bhigh={-33513.0869,-16.55776085},
R_s=R_NASA_2002/SO2.MM);
constant IdealGases.Common.DataRecord SO2minus(
name="SO2minus",
MM=0.0640643486,
Hf=-6378057.030614996,
H0=167791.1542832732,
Tlimit=1000,
alow={94609.01659999999,-856.269105,5.36007422,0.00760957674,-1.092005659e-005,
7.20254773e-009,-1.85013822e-012},
blow={-45800.9481,-3.929956604},
ahigh={-179340.0005,-366.316876,7.27444105,-0.0001101944663,
2.443328132e-008,-2.809735019e-012,1.305160431e-016},
bhigh={-49730.7261,-12.61421156},
R_s=R_NASA_2002/SO2minus.MM);
constant IdealGases.Common.DataRecord SO2CL2(
name="SO2CL2",
MM=0.1349698,
Hf=-2628759.915181026,
H0=118757.7072797026,
Tlimit=1000,
alow={6821.59239,-584.9569200000001,8.59675691,0.01197228675,-1.3337607e-005,
7.126128999999999e-009,-1.496150016e-012},
blow={-42307.8381,-16.52458363},
ahigh={-237663.9109,-964.7740410000001,13.71469904,-0.0002850327057,
6.29350962e-008,-7.21784426e-012,3.34684022e-016},
bhigh={-41900.7299,-44.81942574999999},
R_s=R_NASA_2002/SO2CL2.MM);
constant IdealGases.Common.DataRecord SO2FCL(
name="SO2FCL",
MM=0.1185152032,
Hf=-4695363.843412791,
H0=124042.9970422563,
Tlimit=1000,
alow={36845.613,-803.8358949999999,7.52618688,0.01620141782,-1.97059527e-005,
1.16625033e-008,-2.759241465e-012},
blow={-65035.9819,-12.99745646},
ahigh={-291540.2438,-1107.134423,13.81845158,-0.000325851446,7.184741e-008,
-8.230625200000001e-012,3.81292562e-016},
bhigh={-65524.7269,-47.09166446},
R_s=R_NASA_2002/SO2FCL.MM);
constant IdealGases.Common.DataRecord SO2F2(
name="SO2F2",
MM=0.1020606064,
Hf=-7446555.794714541,
H0=132180.7842991613,
Tlimit=1000,
alow={55331.5353,-807.463968,5.28717216,0.02294547775,-2.891025299e-005,
1.785631907e-008,-4.4189195e-012},
blow={-88994.28820000001,-4.124256607},
ahigh={-340390.445,-1309.288764,13.96601541,-0.000384008815,
8.456688780000001e-008,-9.678246870000001e-012,4.48001428e-016},
bhigh={-89019.9414,-51.0927005},
R_s=R_NASA_2002/SO2F2.MM);
constant IdealGases.Common.DataRecord SO3(
name="SO3",
MM=0.0800632,
Hf=-4944843.573576874,
H0=145990.9046852986,
Tlimit=1000,
alow={-39528.5529,620.857257,-1.437731716,0.02764126467,-3.144958662e-005,
1.792798e-008,-4.12638666e-012},
blow={-51841.0617,33.91331216},
ahigh={-216692.3781,-1301.022399,10.96287985,-0.000383710002,
8.466889039999999e-008,-9.70539929e-012,4.49839754e-016},
bhigh={-43982.83990000001,-36.55217314},
R_s=R_NASA_2002/SO3.MM);
constant IdealGases.Common.DataRecord S2(
name="S2",
MM=0.06412999999999999,
Hf=2005301.730859192,
H0=142399.9688133479,
Tlimit=1000,
alow={35280.9178,-422.215658,4.67743349,0.001724046361,-3.86220821e-006,
3.33615634e-009,-9.93066154e-013},
blow={16547.67715,-0.7957279032},
ahigh={-15881.28788,631.548088,2.449628069,0.001986240565,-6.50792724e-007,
1.002813651e-010,-5.59699005e-015},
bhigh={10855.08427,14.58544515},
R_s=R_NASA_2002/S2.MM);
constant IdealGases.Common.DataRecord S2minus(
name="S2minus",
MM=0.0641305486,
Hf=-579012.4333974589,
H0=149649.6632183807,
Tlimit=1000,
alow={10255.58251,-616.6128249999999,8.182052840000001,-0.008311203580000001,
9.72027416e-006,-5.77547678e-009,1.393690695e-012},
blow={-3063.559874,-19.06068041},
ahigh={483020.403,-1319.171302,6.03177848,-0.0007965560690000001,
2.28224169e-007,-2.504364698e-011,7.28055078e-016},
bhigh={2660.25849,-9.010480318999999},
R_s=R_NASA_2002/S2minus.MM);
constant IdealGases.Common.DataRecord S2CL2(
name="S2CL2",
MM=0.135036,
Hf=-123937.3204182589,
H0=122343.382505406,
Tlimit=1000,
alow={79749.74740000001,-1636.770024,15.83744686,-0.01186906072,
1.413008027e-005,-8.48490393e-009,1.981743887e-012},
blow={3276.87242,-52.93745205},
ahigh={632881.6,-3442.7058,15.1963735,-0.002960877176,6.88828437e-007,-7.990692529999999e-011,
3.69246606e-015},
bhigh={15266.72656,-54.53315445000001},
R_s=R_NASA_2002/S2CL2.MM);
constant IdealGases.Common.DataRecord S2F2(
name="S2F2",
MM=0.1021268064,
Hf=-3930535.127357121,
H0=134322.1479605574,
Tlimit=1000,
alow={125290.4041,-1941.243874,13.25382183,-0.001341525124,-2.772465632e-006,
3.65816929e-009,-1.299531209e-012},
blow={-40672.0825,-45.60828617},
ahigh={-259175.7719,-105.9653069,10.06588551,-2.274618148e-005,
5.41234314e-009,-9.91138714e-013,9.621861440000001e-017},
bhigh={-51476.75180000001,-23.7566614},
R_s=R_NASA_2002/S2F2.MM);
constant IdealGases.Common.DataRecord S2O(
name="S2O",
MM=0.0801294,
Hf=-699312.5494512626,
H0=138882.320346839,
Tlimit=1000,
alow={10927.0331,-95.23099869999999,3.14452543,0.011768542,-1.58026684e-005,
1.03764504e-008,-2.70862226e-012},
blow={-7500.4719,11.04169896},
ahigh={-144213.979,-327.643013,7.24428611,-9.7765383e-005,2.1627127e-008,-2.48278222e-012,
1.15177875e-016},
bhigh={-7438.55393,-10.85180744},
R_s=R_NASA_2002/S2O.MM);
constant IdealGases.Common.DataRecord S3(
name="S3",
MM=0.09619499999999999,
Hf=1504634.627579396,
H0=124479.733873902,
Tlimit=1000,
alow={72453.9574,-1162.146759,9.95541368,-0.00415802622,3.24177839e-006,-1.264648239e-009,
1.777450535e-013},
blow={21462.75475,-25.87525865},
ahigh={-111780.5401,-51.97908390000001,7.03876084,-1.546804022e-005,
3.40834041e-009,-3.89686236e-013,1.800860389e-017},
bhigh={15254.06485,-7.610045099},
R_s=R_NASA_2002/S3.MM);
constant IdealGases.Common.DataRecord S4(
name="S4",
MM=0.12826,
Hf=1057479.596132855,
H0=111338.944331826,
Tlimit=1000,
alow={119866.4135,-2040.786521,15.10235054,-0.0070411043,5.350405e-006,-2.002348038e-009,
2.569940995e-013},
blow={24109.09409,-55.03153238},
ahigh={-206833.3537,-96.96151430000001,10.0724321,-2.895047053e-005,
6.38780619e-009,-7.31176743e-013,3.38226529e-017},
bhigh={13211.0953,-23.44872237},
R_s=R_NASA_2002/S4.MM);
constant IdealGases.Common.DataRecord S5(
name="S5",
MM=0.160325,
Hf=829523.4929050366,
H0=118842.0645563699,
Tlimit=1000,
alow={136137.0439,-2955.476536,26.33358816,-0.0412580653,7.05681403e-005,-5.611095330000001e-008,
1.6594572e-011},
blow={26753.07046,-106.9711067},
ahigh={-4038495.16,8601.80388,7.4437809,0.001533393812,-2.532718676e-007,
2.145210795e-011,-7.213102680000001e-016},
bhigh={-46869.2542,11.04229196},
R_s=R_NASA_2002/S5.MM);
constant IdealGases.Common.DataRecord S6(
name="S6",
MM=0.19239,
Hf=526613.5454025677,
H0=118442.6373512137,
Tlimit=1000,
alow={97803.07210000001,-2568.47013,24.67025557,-0.01619983175,
1.712334526e-005,-9.74629674e-009,2.486964867e-012},
blow={20378.88389,-101.4410309},
ahigh={3686845.06,-7695.0179,18.60721995,0.002290382548,-1.219834021e-006,
2.060780798e-010,-1.190354318e-014},
bhigh={60324.8648,-74.90245718},
R_s=R_NASA_2002/S6.MM);
constant IdealGases.Common.DataRecord S7(
name="S7",
MM=0.224455,
Hf=498498.0018266468,
H0=117058.5106145998,
Tlimit=1000,
alow={123365.5613,-3200.54364,30.15678887,-0.02197472483,2.487892075e-005,-1.506049557e-008,
3.76892599e-012},
blow={23900.05896,-127.5978171},
ahigh={-272639.6041,-73.7321522,19.05771987,-2.394575885e-005,
5.4426713e-009,-6.379663479999999e-013,3.008212993e-017},
bhigh={7308.458830000001,-61.59112428},
R_s=R_NASA_2002/S7.MM);
constant IdealGases.Common.DataRecord S8(
name="S8",
MM=0.25652,
Hf=394811.7963511617,
H0=123082.4964915017,
Tlimit=1000,
alow={314562.5719,-6116.51016,48.7532754,-0.0624179465,
7.421831750000001e-005,-3.72644931e-008,5.79942988e-012},
blow={35738.9084,-228.8701977},
ahigh={-8727921.130000001,12216.27968,22.09959617,-0.00349406483,
1.397604162e-006,-2.169815281e-010,1.212304364e-014},
bhigh={-86581.10819999999,-64.35742508},
R_s=R_NASA_2002/S8.MM);
constant IdealGases.Common.DataRecord Sc(
name="Sc",
MM=0.04495591,
Hf=8401570.761219159,
H0=155758.3641394424,
Tlimit=1000,
alow={-3700.80594,169.2506026,1.842242597,0.001364835821,-1.580085847e-006,
9.61311115e-010,-2.392381918e-013},
blow={43852.1524,10.72781921},
ahigh={8810382.649999999,-27112.32975,34.7658866,-0.01861104581,
5.290283900000001e-006,-6.58540806e-010,2.997850429e-014},
bhigh={216246.0097,-222.5618519},
R_s=R_NASA_2002/Sc.MM);
constant IdealGases.Common.DataRecord Scplus(
name="Scplus",
MM=0.0449553614,
Hf=22625671.11739424,
H0=159311.8546256421,
Tlimit=1000,
alow={-5884.93016,147.9044408,2.009576456,0.000738956697,-6.61796482e-007,
6.84107376e-010,-2.164125532e-013},
blow={120843.9139,10.2657062},
ahigh={1973658.531,-4954.3841,6.36062735,-0.000716878592,2.464991123e-008,
9.632373790000001e-012,-8.544709642000001e-016},
bhigh={154342.3764,-22.61925782},
R_s=R_NASA_2002/Scplus.MM);
constant IdealGases.Common.DataRecord Scminus(
name="Scminus",
MM=0.0449564586,
Hf=7842228.65810876,
H0=137854.0079222344,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={41657.4639,8.270420720000001},
ahigh={0,0,2.5,0,0,0,0},
bhigh={41657.4639,8.270420720000001},
R_s=R_NASA_2002/Scminus.MM);
constant IdealGases.Common.DataRecord ScO(
name="ScO",
MM=0.06095531,
Hf=-903371.5684490819,
H0=144156.5304154798,
Tlimit=1000,
alow={-3136.784613,227.1981685,0.885075732,0.01052430774,-1.431954596e-005,
9.652351069999999e-009,-2.586210633e-012},
blow={-8550.798769999999,20.12706847},
ahigh={1224192.443,-3918.91572,8.679848809999999,-0.001995893306,
4.06698985e-007,-1.504459913e-011,-8.4729989e-016},
bhigh={16773.22594,-29.51656272},
R_s=R_NASA_2002/ScO.MM);
constant IdealGases.Common.DataRecord ScOplus(
name="ScOplus",
MM=0.0609547614,
Hf=9206991.432830053,
H0=143993.1155238678,
Tlimit=1000,
alow={45885.6027,-336.711437,3.5272064,0.0039888503,-5.568985429999999e-006,
3.65028119e-009,-9.356491500000001e-013},
blow={68383.5079,4.3398127},
ahigh={-1814357.141,5853.42532,-3.65710121,0.00573436451,-2.092878161e-006,
3.69564502e-010,-2.214038347e-014},
bhigh={29553.64078,56.6088941},
R_s=R_NASA_2002/ScOplus.MM);
constant IdealGases.Common.DataRecord ScO2(
name="ScO2",
MM=0.07695471000000001,
Hf=-5375248.207679556,
H0=139720.2718326143,
Tlimit=1000,
alow={47947.00960000001,-429.835859,3.4172065,0.01361338544,-2.047465023e-005,
1.455906041e-008,-4.03808769e-012},
blow={-48610.4953,7.67001333},
ahigh={-190390.2542,-231.558882,7.17210491,-6.85920964e-005,
1.510998557e-008,-1.727951588e-012,7.9889805e-017},
bhigh={-51129.74750000001,-10.90764597},
R_s=R_NASA_2002/ScO2.MM);
constant IdealGases.Common.DataRecord Sc2O(
name="Sc2O",
MM=0.10591122,
Hf=-217580.4225463553,
H0=110562.827998771,
Tlimit=1000,
alow={25500.02615,-307.7608607,4.67121504,0.008696142249999999,-1.283873116e-005,
8.988966810000001e-009,-2.461994147e-012},
blow={-2614.951944,2.92001718},
ahigh={-135088.0396,-185.4540692,7.13829408,-5.52943214e-005,
1.221589315e-008,-1.400490463e-012,6.48885811e-017},
bhigh={-4240.235140000001,-9.37271095},
R_s=R_NASA_2002/Sc2O.MM);
constant IdealGases.Common.DataRecord Sc2O2(
name="Sc2O2",
MM=0.12191062,
Hf=-4024022.02531658,
H0=107732.8619934834,
Tlimit=1000,
alow={3468.44549,261.7988314,-0.3052099624,0.0307610407,-4.18347836e-005,
2.794218425e-008,-7.41267205e-012},
blow={-61440.1321,29.15248555},
ahigh={-297734.8677,-580.367792,10.43318377,-0.0001734165462,
3.83608979e-008,-4.403078029999999e-012,2.042208922e-016},
bhigh={-59648.6628,-28.55828369},
R_s=R_NASA_2002/Sc2O2.MM);
constant IdealGases.Common.DataRecord Si(
name="Si",
MM=0.0280855,
Hf=16022502.71492407,
H0=268831.1762297271,
Tlimit=1000,
alow={98.36140810000001,154.6544523,1.87643667,0.001320637995,-1.529720059e-006,
8.95056277e-010,-1.95287349e-013},
blow={52635.1031,9.69828888},
ahigh={-616929.885,2240.683927,-0.444861932,0.001710056321,-4.10771416e-007,
4.55888478e-011,-1.889515353e-015},
bhigh={39535.5876,26.79668061},
R_s=R_NASA_2002/Si.MM);
constant IdealGases.Common.DataRecord Siplus(
name="Siplus",
MM=0.0280849514,
Hf=44241060.89070889,
H0=261454.7874916387,
Tlimit=1000,
alow={-43297.9188,679.5894490000001,0.2257046144,0.004118600490000001,-4.234881599999999e-006,
2.327995626e-009,-5.318388059e-013},
blow={145203.9813,19.3465051},
ahigh={59193.9023,-48.5673095,2.556312024,-3.50339716e-005,1.190298787e-008,
-2.082923821e-012,1.471452049e-016},
bhigh={149143.1392,5.24426714},
R_s=R_NASA_2002/Siplus.MM);
constant IdealGases.Common.DataRecord Siminus(
name="Siminus",
MM=0.0280860486,
Hf=10995406.73727952,
H0=220658.5941747605,
Tlimit=1000,
alow={-794.014667,5.56741842,2.499837183,-9.48139446e-005,3.17124693e-007,-4.19132318e-010,
2.03592438e-013},
blow={36364.4338,5.27011984},
ahigh={-6162070.100000001,18833.10402,-18.9930245,0.01111021657,-2.535790208e-006,
2.699962923e-010,-1.105062911e-014},
bhigh={-83140.8931,159.5298253},
R_s=R_NASA_2002/Siminus.MM);
constant IdealGases.Common.DataRecord SiBr(
name="SiBr",
MM=0.1079895,
Hf=1621985.665273013,
H0=92926.82158913597,
Tlimit=1000,
alow={7370.283350000001,-505.106296,8.280591039999999,-0.0100538392,
1.35705092e-005,-9.1154499e-009,2.447477685e-012},
blow={21844.05475,-16.62032657},
ahigh={1317799.94,-3669.79502,8.51168612,-0.001987602041,5.03541489e-007,-4.49012019e-011,
8.23567007e-016},
bhigh={43328.5155,-24.67075472},
R_s=R_NASA_2002/SiBr.MM);
constant IdealGases.Common.DataRecord SiBr2(
name="SiBr2",
MM=0.1878935,
Hf=-271430.3581550187,
H0=70876.11333015778,
Tlimit=1000,
alow={23866.16151,-641.569347,9.34587911,-0.00479290414,5.58253847e-006,-3.45531238e-009,
8.80033894e-013},
blow={-5014.75702,-17.40767596},
ahigh={-51473.4394,-12.77719997,7.01020224,-4.29633186e-006,
9.877651970000001e-010,-1.168133105e-013,5.54668138e-018},
bhigh={-8319.54225,-3.61182661},
R_s=R_NASA_2002/SiBr2.MM);
constant IdealGases.Common.DataRecord SiBr3(
name="SiBr3",
MM=0.2677975,
Hf=-586263.8747561124,
H0=65203.89473389407,
Tlimit=1000,
alow={39728.0686,-1066.475023,13.80836232,-0.00764111472,8.77586583e-006,-5.37243085e-009,
1.356453455e-012},
blow={-16517.95623,-37.8405537},
ahigh={-88880.24740000001,-22.67879074,10.01791167,-7.48115075e-006,
1.70924269e-009,-2.011596627e-013,9.51553415e-018},
bhigh={-22030.26938,-15.37574366},
R_s=R_NASA_2002/SiBr3.MM);
constant IdealGases.Common.DataRecord SiBr4(
name="SiBr4",
MM=0.3477015,
Hf=-1195853.33971812,
H0=64174.93453436353,
Tlimit=1000,
alow={68210.8674,-1520.370776,18.1045336,-0.00973468842,1.072367466e-005,-6.34385829e-009,
1.5572282e-012},
blow={-46165.8521,-59.7612063},
ahigh={-127140.9281,-37.6808795,13.02910642,-1.194958251e-005,
2.693843051e-009,-3.137193207e-013,1.471642663e-017},
bhigh={-54089.9883,-29.4038433},
R_s=R_NASA_2002/SiBr4.MM);
constant IdealGases.Common.DataRecord SiC(
name="SiC",
MM=0.04009620000000001,
Hf=18329570.88202872,
H0=229874.9258034427,
Tlimit=1000,
alow={-6223.330889999999,314.1790457,0.389313083,0.0118750754,-1.639277197e-005,
1.131808223e-008,-3.045324231e-012},
blow={86062.2773,23.10166717},
ahigh={-62688.06030000001,720.983692,2.162879732,0.002201299585,-6.569466590000001e-007,
9.177110259999999e-011,-4.96916674e-015},
bhigh={83212.2585,16.01675317},
R_s=R_NASA_2002/SiC.MM);
constant IdealGases.Common.DataRecord SiC2(
name="SiC2",
MM=0.05210690000000001,
Hf=12116647.46895325,
H0=224258.3803680511,
Tlimit=1000,
alow={-41196.2899,686.9747180000001,0.02361343691,0.01532939217,-1.435588838e-005,
6.37522874e-009,-1.059204957e-012},
blow={71308.9071,28.28850316},
ahigh={7026893.09,-24661.48437,39.15453030000001,-0.02002884068,
6.30735369e-006,-8.84838351e-010,4.53054985e-014},
bhigh={226732.5155,-236.6622024},
R_s=R_NASA_2002/SiC2.MM);
constant IdealGases.Common.DataRecord SiCL(
name="SiCL",
MM=0.0635385,
Hf=2240581.993594435,
H0=155561.100749939,
Tlimit=1000,
alow={12485.08319,-204.4170347,4.97707085,-0.0005160756260000001,
2.931980374e-007,-3.66661523e-012,-3.39303713e-014},
blow={16865.28019,-0.226395724},
ahigh={376729.456,-1147.956509,5.73540843,-0.0005784890810000001,
1.517304648e-007,-1.291391394e-011,1.55462842e-016},
bhigh={23062.78401,-6.098515228},
R_s=R_NASA_2002/SiCL.MM);
constant IdealGases.Common.DataRecord SiCL2(
name="SiCL2",
MM=0.0989915,
Hf=-1647305.950510903,
H0=126569.392321563,
Tlimit=1000,
alow={53055.5097,-1015.842786,10.32848185,-0.00621226752,6.7158254e-006,-3.90880164e-009,
9.46173215e-013},
blow={-16502.18093,-26.49925756},
ahigh={-80508.7157,-26.61025523,7.02041472,-8.335824719999999e-006,
1.871092411e-009,-2.171552767e-013,1.015849895e-017},
bhigh={-21812.94885,-6.638764238},
R_s=R_NASA_2002/SiCL2.MM);
constant IdealGases.Common.DataRecord SiCL3(
name="SiCL3",
MM=0.1344445,
Hf=-2501193.20611851,
H0=116906.7310302764,
Tlimit=1000,
alow={86917.08459999999,-1677.556857,15.1151906,-0.008937031,
9.097353529999999e-006,-5.01457996e-009,1.155962016e-012},
blow={-34774.773,-50.87215506},
ahigh={-147718.0114,-53.3520098,10.04043521,-1.63512106e-005,
3.64194011e-009,-4.20060059e-013,1.955201587e-017},
bhigh={-43605.7165,-20.06632444},
R_s=R_NASA_2002/SiCL3.MM);
constant IdealGases.Common.DataRecord SiCL4(
name="SiCL4",
MM=0.1698975,
Hf=-3897644.16780706,
H0=114512.797421975,
Tlimit=1000,
alow={117164.6285,-2185.821461,19.08250496,-0.00963633572,
8.836847690000002e-006,-4.3600424e-009,8.94023243e-013},
blow={-72128.0211,-73.01532221000001},
ahigh={-210033.0761,-84.76107710000001,13.06364027,-2.55402042e-005,
5.65381847e-009,-6.48875267e-013,3.008025543e-017},
bhigh={-83722.6813,-35.92584781},
R_s=R_NASA_2002/SiCL4.MM);
constant IdealGases.Common.DataRecord SiF(
name="SiF",
MM=0.0470839032,
Hf=-535908.9685665653,
H0=200835.3886854478,
Tlimit=1000,
alow={14782.23768,13.57998649,2.324182643,0.00713285118,-1.022951215e-005,
7.14839647e-009,-1.964689785e-012},
blow={-3995.38065,12.31128121},
ahigh={-365363.788,872.2860040000001,3.37721827,0.000750815243,-2.308898619e-007,
3.7667818e-011,-2.143080403e-015},
bhigh={-10116.97664,8.968132819999999},
R_s=R_NASA_2002/SiF.MM);
constant IdealGases.Common.DataRecord SiFCL(
name="SiFCL",
MM=0.0825369032,
Hf=-4577667.701978914,
H0=143364.7682579882,
Tlimit=1000,
alow={41769.5464,-592.6575380000001,6.40977071,0.00464168261,-7.978461910000001e-006,
6.00872837e-009,-1.720953157e-012},
blow={-43982.9607,-6.259737448},
ahigh={-128469.8945,-124.7550173,7.09289385,-3.70731177e-005,
8.175173009999999e-009,-9.35643521e-013,4.32854434e-017},
bhigh={-47233.0972,-8.337392707999999},
R_s=R_NASA_2002/SiFCL.MM);
constant IdealGases.Common.DataRecord SiF2(
name="SiF2",
MM=0.0660823064,
Hf=-8971207.881448884,
H0=169553.2527599551,
Tlimit=1000,
alow={40532.3665,-399.763756,4.05530388,0.01153423049,-1.757586754e-005,
1.260369111e-008,-3.51710522e-012},
blow={-70477.7046,3.87985442},
ahigh={-167520.0202,-184.621209,7.13698635,-5.45076986e-005,
1.199012961e-008,-1.369470187e-012,6.32488999e-017},
bhigh={-72874.0102,-11.17933348},
R_s=R_NASA_2002/SiF2.MM);
constant IdealGases.Common.DataRecord SiF3(
name="SiF3",
MM=0.08508070960000001,
Hf=-11711662.74569953,
H0=153014.1680905774,
Tlimit=1000,
alow={57553.6998,-717.959577,5.37939694,0.01813065142,-2.738373356e-005,
1.94651947e-008,-5.39079056e-012},
blow={-117763.1169,-3.44290204},
ahigh={-290328.3702,-342.787694,10.25536335,-0.000101979669,
2.250326132e-008,-2.577117181e-012,1.192923177e-016},
bhigh={-121808.8967,-27.25261142},
R_s=R_NASA_2002/SiF3.MM);
constant IdealGases.Common.DataRecord SiF4(
name="SiF4",
MM=0.1040791128,
Hf=-15524536.638825,
H0=147634.9344899489,
Tlimit=1000,
alow={10696.70784,-95.69638640000001,2.513988593,0.0330978103,-4.57304408e-005,
3.091834452e-008,-8.26930405e-012},
blow={-195625.2529,11.33722022},
ahigh={-384589.232,-656.997991,13.4892572,-5.10047136e-005,5.34632958e-008,
-4.95959811e-012,2.299314375e-016},
bhigh={-195728.4479,-46.7389465},
R_s=R_NASA_2002/SiF4.MM);
constant IdealGases.Common.DataRecord SiH(
name="SiH",
MM=0.02909344,
Hf=12670767.36198951,
H0=314335.809034614,
Tlimit=1000,
alow={-6426.676299999999,74.17251210000001,3.9734916,-0.00414940888,
1.022918384e-005,-8.592386360000002e-009,2.567093743e-012},
blow={42817.45800000001,2.24693715},
ahigh={404208.649,-2364.796524,7.62749914,-0.002496591233,1.10843641e-006,-1.943991955e-010,
1.136251507e-014},
bhigh={57047.3768,-24.48054429},
R_s=R_NASA_2002/SiH.MM);
constant IdealGases.Common.DataRecord SiHplus(
name="SiHplus",
MM=0.0290928914,
Hf=39448508.27030551,
H0=297469.951714734,
Tlimit=1000,
alow={-43071.5717,388.495824,2.546166863,-0.0006686325980000001,
5.186277020000001e-006,-4.81856974e-009,1.44570264e-012},
blow={134907.9707,9.027950089999999},
ahigh={171169.2033,-1045.807287,4.83864824,0.0001277940891,-6.883872450000001e-008,
1.41884348e-011,-7.85531696e-016},
bhigh={143172.145,-7.55329914},
R_s=R_NASA_2002/SiHplus.MM);
constant IdealGases.Common.DataRecord SiHBr3(
name="SiHBr3",
MM=0.26880544,
Hf=-1126919.157588478,
H0=66306.05764526196,
Tlimit=1000,
alow={132281.1122,-2205.365507,17.75084194,-0.01047794569,1.286821723e-005,
-7.743124260000001e-009,1.819060891e-012},
blow={-28349.92682,-63.3119954},
ahigh={219997.3526,-2024.458552,14.35781007,-0.000503701584,
1.054049755e-007,-1.160828765e-011,5.21725768e-016},
bhigh={-28420.86214,-45.3643717},
R_s=R_NASA_2002/SiHBr3.MM);
constant IdealGases.Common.DataRecord SiHCL(
name="SiHCL",
MM=0.06454644000000001,
Hf=851261.7117225983,
H0=165236.2701955367,
Tlimit=1000,
alow={59096.73050000001,-878.006403,7.99968793,-0.00466314127,8.594986e-006,
-6.608073550000001e-009,1.868076396e-012},
blow={9567.57034,-16.90014311},
ahigh={101215.289,-1163.239598,7.37636655,0.0001874151313,-1.661351093e-007,
3.96441404e-011,-2.64058008e-015},
bhigh={11410.64087,-15.07678798},
R_s=R_NASA_2002/SiHCL.MM);
constant IdealGases.Common.DataRecord SiHCL3(
name="SiHCL3",
MM=0.13545244,
Hf=-3663440.835764937,
H0=119241.912511875,
Tlimit=1000,
alow={165956.5586,-2552.498122,17.50117375,-0.007885728660000001,
8.092567490000001e-006,-3.9804206e-009,7.05917332e-013},
blow={-49513.16600000001,-67.58519052999999},
ahigh={172864.4072,-2116.727327,14.41802307,-0.000525524962,
1.098826178e-007,-1.209327059e-011,5.432187049999999e-016},
bhigh={-51303.5194,-50.36360893000001},
R_s=R_NASA_2002/SiHCL3.MM);
constant IdealGases.Common.DataRecord SiHF(
name="SiHF",
MM=0.0480918432,
Hf=-3382219.482076328,
H0=212722.7887160707,
Tlimit=1000,
alow={21925.98671,-61.7522908,2.127372739,0.01123538312,-1.322503985e-005,
8.30730739e-009,-2.010545971e-012},
blow={-20169.94845,13.67184876},
ahigh={4049752.24,-9295.526819999999,10.71754366,0.00186812422,-1.129820372e-006,
1.9602501e-010,-1.144682011e-014},
bhigh={41332.252,-47.363176},
R_s=R_NASA_2002/SiHF.MM);
constant IdealGases.Common.DataRecord SiHF3(
name="SiHF3",
MM=0.0860886496,
Hf=-13948505.47173643,
H0=157333.5632854439,
Tlimit=1000,
alow={83258.7939,-817.8594459999999,4.04171724,0.02726104628,-3.78783148e-005,
2.630589305e-008,-7.2895825e-012},
blow={-141614.6961,1.382806532},
ahigh={78201.008,-2592.742261,14.75104214,-0.00065310472,1.372428937e-007,-1.516371051e-011,
6.83249715e-016},
bhigh={-133661.1887,-58.5145095},
R_s=R_NASA_2002/SiHF3.MM);
constant IdealGases.Common.DataRecord SiHI3(
name="SiHI3",
MM=0.40980685,
Hf=-181731.9549441402,
H0=46693.76317160145,
Tlimit=1000,
alow={111384.0054,-1974.457175,17.91396249,-0.01219208519,1.613169233e-005,
-1.038096942e-008,2.613287761e-012},
blow={-2256.377425,-59.9545513},
ahigh={227942.4252,-1898.603142,14.28134804,-0.000477602695,
1.003097496e-007,-1.107859145e-011,4.990338200000001e-016},
bhigh={-1614.547674,-41.2294307},
R_s=R_NASA_2002/SiHI3.MM);
constant IdealGases.Common.DataRecord SiH2(
name="SiH2",
MM=0.03010138,
Hf=9080398.639530813,
H0=332812.05047742,
Tlimit=1000,
alow={-20638.63564,330.58622,2.099271145,0.00354253937,3.37887667e-006,-5.38384562e-009,
2.081191273e-012},
blow={30117.84298,12.8233357},
ahigh={4624039.37,-11434.3611,12.6488087,0.00091148995,-8.766611539999999e-007,
1.646297357e-010,-9.965090370000001e-015},
bhigh={107247.5101,-66.0607807},
R_s=R_NASA_2002/SiH2.MM);
constant IdealGases.Common.DataRecord SiH2Br2(
name="SiH2Br2",
MM=0.18990938,
Hf=-1002436.003950937,
H0=75152.80182579713,
Tlimit=1000,
alow={165152.8003,-2468.145554,16.08639427,-0.0094138409,1.407423872e-005,-9.240751449999999e-009,
2.255641666e-012},
blow={-12764.82614,-59.4537432},
ahigh={566585.144,-3973.91962,15.67387912,-0.0009943802290000002,
2.084856022e-007,-2.299521351e-011,1.034736283e-015},
bhigh={-2990.69018,-61.9047652},
R_s=R_NASA_2002/SiH2Br2.MM);
constant IdealGases.Common.DataRecord SiH2CL2(
name="SiH2CL2",
MM=0.10100738,
Hf=-3172976.073629472,
H0=132514.5548770793,
Tlimit=1000,
alow={189428.1754,-2650.960252,15.49874174,-0.006533130749999999,
9.306098260000001e-006,-5.63969867e-009,1.213664264e-012},
blow={-27209.12007,-60.06331649},
ahigh={540020.458,-4062.33729,15.73118788,-0.001015038389,2.127060243e-007,
-2.345079226e-011,1.054871984e-015},
bhigh={-18230.98225,-65.44540499},
R_s=R_NASA_2002/SiH2CL2.MM);
constant IdealGases.Common.DataRecord SiH2F2(
name="SiH2F2",
MM=0.0680981864,
Hf=-11612291.63072102,
H0=176042.9555286953,
Tlimit=1000,
alow={127218.8427,-1241.72431,4.89943589,0.02123882008,-2.7257087e-005,
1.860857446e-008,-5.22660433e-012},
blow={-89804.66919999999,-5.1118155},
ahigh={472653.4080000001,-4388.51769,15.96032597,-0.001102993658,
2.315838331e-007,-2.556974559e-011,1.151499711e-015},
bhigh={-73161.8446,-70.9898927},
R_s=R_NASA_2002/SiH2F2.MM);
constant IdealGases.Common.DataRecord SiH2I2(
name="SiH2I2",
MM=0.28391032,
Hf=-134105.7274705618,
H0=52542.17599416605,
Tlimit=1000,
alow={153996.3319,-2414.436989,16.84409354,-0.0121203758,1.808453226e-005,-1.207740133e-008,
3.040799276e-012},
blow={5073.07325,-60.9872082},
ahigh={594239.083,-3924.81448,15.63850289,-0.0009805706340000001,
2.054871384e-007,-2.265587199e-011,1.019168663e-015},
bhigh={15136.27352,-59.4081252},
R_s=R_NASA_2002/SiH2I2.MM);
constant IdealGases.Common.DataRecord SiH3(
name="SiH3",
MM=0.03110932,
Hf=6569007.80859241,
H0=330350.8080536636,
Tlimit=1000,
alow={4341.14282,227.7185085,0.650825035,0.01221438558,-4.34760427e-006,-1.774916828e-009,
1.184191367e-012},
blow={22599.93826,19.68347482},
ahigh={605632.122,-4721.254059999999,13.29129523,-0.001256824868,
2.68828594e-007,-3.010741582e-011,1.370945857e-015},
bhigh={49744.2064,-61.405031},
R_s=R_NASA_2002/SiH3.MM);
constant IdealGases.Common.DataRecord SiH3Br(
name="SiH3Br",
MM=0.11101332,
Hf=-704789.2991579749,
H0=106017.7103071956,
Tlimit=1000,
alow={152106.5525,-1987.744479,11.31460743,-0.001806099407,7.76926247e-006,
-6.233478169999999e-009,1.585331846e-012},
blow={-924.886888,-38.4646369},
ahigh={927928.578,-5917.93579,16.99209298,-0.001487507364,3.123451161e-007,
-3.44907147e-011,1.553431675e-015},
bhigh={22415.60128,-79.4861159},
R_s=R_NASA_2002/SiH3Br.MM);
constant IdealGases.Common.DataRecord SiH3CL(
name="SiH3CL",
MM=0.06656231999999999,
Hf=-2130905.292964548,
H0=171879.615974924,
Tlimit=1000,
alow={163338.8301,-2030.302118,10.68016138,0.0004942370140000001,
4.30517476e-006,-3.74832727e-009,8.89350421e-013},
blow={-8180.71498,-36.88956824},
ahigh={908778.094,-5958.94956,17.02076016,-0.001498450667,3.146813781e-007,
-3.47516846e-011,1.565281681e-015},
bhigh={14937.93206,-81.27277864},
R_s=R_NASA_2002/SiH3CL.MM);
constant IdealGases.Common.DataRecord SiH3F(
name="SiH3F",
MM=0.0501077232,
Hf=-7515009.183255008,
H0=218162.4169265787,
Tlimit=1000,
alow={126783.629,-1177.593516,4.49918896,0.01658543011,-1.678598921e-005,
1.019153931e-008,-2.803920232e-012},
blow={-40103.9297,-4.48108092},
ahigh={862431.317,-6103.37057,17.12733597,-0.001540724131,3.23962872e-007,-3.58105689e-011,
1.61415138e-015},
bhigh={-12614.87616,-83.99227209999999},
R_s=R_NASA_2002/SiH3F.MM);
constant IdealGases.Common.DataRecord SiH3I(
name="SiH3I",
MM=0.15801379,
Hf=-13239.35081868488,
H0=76437.81596530277,
Tlimit=1000,
alow={145938.4799,-1982.982746,11.96516737,-0.00393750595,1.087991733e-005,
-8.43313592e-009,2.196078188e-012},
blow={8063.20831,-40.6455332},
ahigh={936114.918,-5859.72029,16.95376698,-0.00147349713,3.094475885e-007,-3.41746247e-011,
1.539334807e-015},
bhigh={31274.99231,-78.01700080000001},
R_s=R_NASA_2002/SiH3I.MM);
constant IdealGases.Common.DataRecord SiH4(
name="SiH4",
MM=0.03211726,
Hf=1080415.950800286,
H0=328016.8046713823,
Tlimit=1000,
alow={78729.9329,-552.608705,2.498944303,0.01442118274,-8.467107309999999e-006,
2.726164641e-009,-5.43675437e-013},
blow={6269.66906,4.96546183},
ahigh={1290378.74,-7813.39978,18.28851664,-0.001975620946,4.15650215e-007,-4.59674561e-011,
2.072777131e-015},
bhigh={47668.8795,-98.0169746},
R_s=R_NASA_2002/SiH4.MM);
constant IdealGases.Common.DataRecord SiI(
name="SiI",
MM=0.15498997,
Hf=1696583.462787947,
H0=64140.40856966423,
Tlimit=1000,
alow={94920.8134,-1573.960062,12.37908109,-0.0159386482,1.692049005e-005,-9.215558319999999e-009,
2.046186848e-012},
blow={37797.3567,-40.6640785},
ahigh={852940.2790000001,-2442.039471,7.72297752,-0.001985601243,
6.542866629999999e-007,-9.49415829e-011,4.89004137e-015},
bhigh={45781.6094,-17.33975081},
R_s=R_NASA_2002/SiI.MM);
constant IdealGases.Common.DataRecord SiI2(
name="SiI2",
MM=0.28189444,
Hf=328016.4021681308,
H0=48927.9426724415,
Tlimit=1000,
alow={11633.52403,-451.448217,8.707978130000001,-0.00358066493,
4.25371443e-006,-2.673478266e-009,6.89155898e-013},
blow={11262.47142,-11.55818335},
ahigh={10021.68907,14.33017148,6.70133055,0.00039607699,-2.073866165e-007,
4.5534571e-011,-3.01679828e-015},
bhigh={9007.368100000002,0.2887336913},
R_s=R_NASA_2002/SiI2.MM);
constant IdealGases.Common.DataRecord SiN(
name="SiN",
MM=0.0420922,
Hf=9590100.707494499,
H0=207547.6454069876,
Tlimit=1000,
alow={-14646.72152,137.4993497,3.67850858,-0.0061584992,2.309417067e-005,-2.294461481e-008,
7.39566568e-012},
blow={46732.1299,6.494564115},
ahigh={-2932685.132,5853.68859,1.321451677,0.001258329284,-3.77388636e-007,
6.88776104e-011,-4.18984259e-015},
bhigh={6527.14881,25.53145732},
R_s=R_NASA_2002/SiN.MM);
constant IdealGases.Common.DataRecord SiO(
name="SiO",
MM=0.0440849,
Hf=-2242092.371764482,
H0=197689.1180426858,
Tlimit=1000,
alow={-47227.7105,806.3137640000001,-1.636976133,0.01454275546,-1.723202046e-005,
1.04239734e-008,-2.559365273e-012},
blow={-16665.85903,33.557957},
ahigh={-176513.4162,-31.9917709,4.47744193,4.59176471e-006,3.55814315e-008,
-1.327012559e-011,1.613253297e-015},
bhigh={-13508.4236,-0.838695733},
R_s=R_NASA_2002/SiO.MM);
constant IdealGases.Common.DataRecord SiO2(
name="SiO2",
MM=0.0600843,
Hf=-5360359.977564856,
H0=175462.1922865041,
Tlimit=1000,
alow={-33629.4878,473.407892,0.2309770671,0.01850230806,-2.242786671e-005,
1.364981554e-008,-3.35193503e-012},
blow={-42264.8749,22.95803206},
ahigh={-146403.1193,-626.144106,7.96456371,-0.0001854119096,4.09521467e-008,
-4.69720676e-012,2.17805428e-016},
bhigh={-37918.3477,-20.45285414},
R_s=R_NASA_2002/SiO2.MM);
constant IdealGases.Common.DataRecord SiS(
name="SiS",
MM=0.0601505,
Hf=1798728.306497868,
H0=148495.9726020565,
Tlimit=1000,
alow={35994.4929,-423.9723299999999,4.65401442,0.001588470782,-3.31025436e-006,
2.706096479e-009,-8.113517820000001e-013},
blow={14115.15571,-1.183201858},
ahigh={-2102323.897,6228.83618,-3.004120882,0.004495499930000001,-1.368821364e-006,
1.998097253e-010,-9.882035800000001e-015},
bhigh={-27955.38166,54.05828786},
R_s=R_NASA_2002/SiS.MM);
constant IdealGases.Common.DataRecord SiS2(
name="SiS2",
MM=0.09221550000000001,
Hf=76155.49446676533,
H0=132333.6857686614,
Tlimit=1000,
alow={43977.4566,-743.001312,7.94158836,0.00203808373,-4.6463376e-006,
3.84801436e-009,-1.157260149e-012},
blow={2801.077853,-17.36888325},
ahigh={-126648.9071,-97.7423522,7.57280368,-2.905413928e-005,
6.40558784e-009,-7.329273340000001e-013,3.38981978e-017},
bhigh={-1244.672263,-13.52710463},
R_s=R_NASA_2002/SiS2.MM);
constant IdealGases.Common.DataRecord Si2(
name="Si2",
MM=0.056171,
Hf=10329093.73164088,
H0=183299.6386035499,
Tlimit=1000,
alow={12375.96221,-102.4904376,4.35484852,0.001281063335,-2.531991623e-006,
2.265694244e-009,-7.001290140000001e-013},
blow={69069.4285,3.2511252},
ahigh={1370060.657,-4207.06004,9.337432890000001,-0.002749217168,
9.586345959999999e-007,-1.372449748e-010,6.765028100000001e-015},
bhigh={95108.84539999999,-31.6838519},
R_s=R_NASA_2002/Si2.MM);
constant IdealGases.Common.DataRecord Si2C(
name="Si2C",
MM=0.06818170000000001,
Hf=8126724.678322773,
H0=169874.7024494842,
Tlimit=1000,
alow={-4553.3662,131.4796415,2.469106923,0.0127652068,-1.656910776e-005,
1.065289663e-008,-2.739192976e-012},
blow={64700.4992,14.6883898},
ahigh={-125382.9442,-341.427779,7.25436533,-0.0001017635503,
2.250902158e-008,-2.584074852e-012,1.198884876e-016},
bhigh={66080.0938,-11.46216579},
R_s=R_NASA_2002/Si2C.MM);
constant IdealGases.Common.DataRecord Si2F6(
name="Si2F6",
MM=0.1701614192,
Hf=-14006054.31715863,
H0=156876.2891465118,
Tlimit=1000,
alow={15807.6745,-297.5292881,7.5125915,0.0455279623,-6.42187684e-005,
4.357408730000001e-008,-1.166762282e-011},
blow={-288670.7444,-7.72178477},
ahigh={-918630.314,157.3948683,21.41256129,-0.0002681898667,7.21228011e-008,
-9.18425266e-012,4.53723836e-016},
bhigh={-296617.6753,-78.4902247},
R_s=R_NASA_2002/Si2F6.MM);
constant IdealGases.Common.DataRecord Si2N(
name="Si2N",
MM=0.0701777,
Hf=5663907.480581439,
H0=168460.7503523199,
Tlimit=1000,
alow={23182.71938,-367.484379,5.4096586,0.008176389399999999,-1.220312934e-005,
8.5806091e-009,-2.354927059e-012},
blow={48092.7803,-3.042205654},
ahigh={-280502.6986,250.2366876,7.0924561,0.0002853120795,-9.79210181e-008,
1.552154244e-011,-8.03626045e-016},
bhigh={43420.1479,-10.0957091},
R_s=R_NASA_2002/Si2N.MM);
constant IdealGases.Common.DataRecord Si3(
name="Si3",
MM=0.0842565,
Hf=7451856.901247975,
H0=148591.4202465092,
Tlimit=1000,
alow={-11142.08177,157.5785843,2.486135003,0.01631637255,-2.208240021e-005,
1.372008287e-008,-3.2623307e-012},
blow={73282.53850000001,15.88081347},
ahigh={-1699395.561,4697.81538,2.618198124,0.001959082075,-2.581160603e-007,
6.10344486e-012,6.08630924e-016},
bhigh={42779.1681,25.86540384},
R_s=R_NASA_2002/Si3.MM);
constant IdealGases.Common.DataRecord Sn(
name="Sn",
MM=0.11871,
Hf=2537275.713924691,
H0=52352.05964114227,
Tlimit=1000,
alow={-124869.2263,1618.84119,-4.60239735,0.01045433308,2.99826555e-006,-1.068699386e-008,
4.32342131e-012},
blow={27483.64008,48.0506723},
ahigh={-5145695.64,11405.75108,-4.17963206,0.002236390679,-3.60321977e-007,
2.440237836e-011,-2.937628285e-016},
bhigh={-42150.1357,59.81450930000001},
R_s=R_NASA_2002/Sn.MM);
constant IdealGases.Common.DataRecord Snplus(
name="Snplus",
MM=0.1187094514,
Hf=8558290.144705359,
H0=52206.6939650603,
Tlimit=1000,
alow={-5571.29778,122.2323189,1.566361415,0.00339706141,-6.31292229e-006,
5.58545208e-009,-1.68902134e-012},
blow={120902.412,11.62634765},
ahigh={4622916.850000001,-11859.58712,12.37026473,-0.002773624217,
3.09851349e-007,-5.362951439999999e-012,-8.663474691e-016},
bhigh={199432.2977,-68.3710828},
R_s=R_NASA_2002/Snplus.MM);
constant IdealGases.Common.DataRecord Snminus(
name="Snminus",
MM=0.1187105486,
Hf=1512047.169496444,
H0=54674.57674608034,
Tlimit=1000,
alow={272279.6,-3369.9358,17.43906405,-0.02810527618,2.790684767e-005,-1.442400675e-008,
3.070159757e-012},
blow={37532.2775,-80.0785697},
ahigh={-64477.1322,743.05551,1.921380256,0.0002361623997,-5.28066836e-008,
6.10233938e-012,-2.843422486e-016},
bhigh={16457.39414,12.65436865},
R_s=R_NASA_2002/Snminus.MM);
constant IdealGases.Common.DataRecord SnBr(
name="SnBr",
MM=0.198614,
Hf=380859.4560302899,
H0=50279.03370356571,
Tlimit=1000,
alow={25641.93542,-525.912233,7.68741069,-0.009654205420000001,
1.482863248e-005,-9.94223698e-009,2.475051091e-012},
blow={10204.83889,-11.26550396},
ahigh={1815578.541,-6728.26458,13.32464516,-0.0046081023,1.236439537e-006,-1.528863587e-010,
6.971513500000001e-015},
bhigh={49255.8309,-56.4096278},
R_s=R_NASA_2002/SnBr.MM);
constant IdealGases.Common.DataRecord SnBr2(
name="SnBr2",
MM=0.278518,
Hf=-427170.2080296426,
H0=52403.82309222384,
Tlimit=1000,
alow={-4995.75306,-136.6498896,7.54356385,-0.001181772507,1.442445852e-006,
-9.254217260000001e-010,2.423731634e-013},
blow={-15755.06969,-3.59558402},
ahigh={-19408.94091,-2.335607932,7.00196926,-8.622241869999999e-007,
2.039869794e-010,-2.464780359e-014,1.189850894e-018},
bhigh={-16448.28122,-0.434935475},
R_s=R_NASA_2002/SnBr2.MM);
constant IdealGases.Common.DataRecord SnBr3(
name="SnBr3",
MM=0.358422,
Hf=-442820.0445285167,
H0=53792.60759663191,
Tlimit=1000,
alow={-8050.41647,-289.7962523,11.14443355,-0.002475383807,3.01005135e-006,
-1.92569532e-009,5.032605089999999e-013},
blow={-20700.66649,-18.95965383},
ahigh={-38930.0453,-4.99084417,10.00418437,-1.82499691e-006,4.30564666e-010,
-5.19188793e-014,2.502455595e-018},
bhigh={-22172.99473,-12.29854098},
R_s=R_NASA_2002/SnBr3.MM);
constant IdealGases.Common.DataRecord SnBr4(
name="SnBr4",
MM=0.4383260000000001,
Hf=-739670.8887905348,
H0=57133.31629882781,
Tlimit=1000,
alow={-5832.84092,-427.019847,14.67466525,-0.00360426323,
4.366686289999999e-006,-2.78587513e-009,7.26508787e-013},
blow={-40829.1645,-34.4710436},
ahigh={-51768.1292,-7.42612695,13.00619502,-2.692587978e-006,6.3367598e-010,
-7.62708719e-014,3.671112e-018},
bhigh={-43001.6634,-24.71455118},
R_s=R_NASA_2002/SnBr4.MM);
constant IdealGases.Common.DataRecord SnCL(
name="SnCL",
MM=0.154163,
Hf=224819.2886749739,
H0=62557.91597205554,
Tlimit=1000,
alow={33515.4973,-683.220862,8.39391773,-0.01164434373,1.812159499e-005,-1.26199917e-008,
3.29521347e-012},
blow={6051.79089,-16.67834578},
ahigh={774160.568,-3602.04848,9.749059819999999,-0.002596198909,
6.36771216e-007,-6.75429557e-011,2.484167602e-015},
bhigh={24424.47662,-32.25454098},
R_s=R_NASA_2002/SnCL.MM);
constant IdealGases.Common.DataRecord SnCL2(
name="SnCL2",
MM=0.189616,
Hf=-1068729.869842207,
H0=72154.86562315417,
Tlimit=1000,
alow={9524.6659,-432.984564,8.64472028,-0.00345840961,4.11785203e-006,-2.592639269e-009,
6.6923636e-013},
blow={-24329.21127,-12.99143851},
ahigh={-39035.88490000001,-7.94796268,7.00648762,-2.776594714e-006,
6.461341420000001e-010,-7.1190674e-015,3.68813118e-018},
bhigh={-26545.29653,-3.368081174},
R_s=R_NASA_2002/SnCL2.MM);
constant IdealGases.Common.DataRecord SnCL3(
name="SnCL3",
MM=0.225069,
Hf=-1299034.76267278,
H0=77994.05959950059,
Tlimit=1000,
alow={17600.76813,-814.280548,13.06326984,-0.00639559619,7.57462457e-006,-4.74971146e-009,
1.222182656e-012},
blow={-34134.3096,-34.5767967},
ahigh={-74829.66399999999,-15.28523914,10.01240305,-5.28558124e-006,
1.226095111e-009,-1.459895108e-013,6.96887978e-018},
bhigh={-38308.7827,-16.63063137},
R_s=R_NASA_2002/SnCL3.MM);
constant IdealGases.Common.DataRecord SnCL4(
name="SnCL4",
MM=0.260522,
Hf=-1836566.466555608,
H0=86265.38641650225,
Tlimit=1000,
alow={42459.6787,-1280.574318,17.68445328,-0.00957477952,1.115620323e-005,-6.90722927e-009,
1.759652856e-012},
blow={-55040.09039999999,-58.27352999},
ahigh={-107833.6862,-25.54305872,13.02040391,-8.5951259e-006,
1.976570888e-009,-2.337929994e-013,1.110287624e-017},
bhigh={-61635.6203,-30.72702622},
R_s=R_NASA_2002/SnCL4.MM);
constant IdealGases.Common.DataRecord SnF(
name="SnF",
MM=0.1377084032,
Hf=-689987.5954701362,
H0=66343.88162014502,
Tlimit=1000,
alow={60985.03520000001,-986.0306290000001,8.994731209999999,-0.01223012156,
1.840583578e-005,-1.267926607e-008,3.29133102e-012},
blow={-7882.61448,-22.21921734},
ahigh={25897.15476,-1484.478214,7.37851893,-0.00132424444,2.847634043e-007,
-2.360371345e-011,6.11678371e-016},
bhigh={-4776.68897,-16.81202516},
R_s=R_NASA_2002/SnF.MM);
constant IdealGases.Common.DataRecord SnF2(
name="SnF2",
MM=0.1567068064,
Hf=-3260591.947077035,
H0=78127.10424810239,
Tlimit=1000,
alow={70423.9185,-1137.505955,10.08659352,-0.00472285593,4.13570292e-006,-1.921143972e-009,
3.64076028e-013},
blow={-57566.7082,-25.71566624},
ahigh={-102775.8772,-44.5175162,7.03326876,-1.329882797e-005,
2.934271938e-009,-3.35841592e-013,1.553358669e-017},
bhigh={-63621.2588,-6.81008452},
R_s=R_NASA_2002/SnF2.MM);
constant IdealGases.Common.DataRecord SnF3(
name="SnF3",
MM=0.1757052096,
Hf=-3680200.948350254,
H0=84230.4051979572,
Tlimit=1000,
alow={109555.5529,-1950.557979,15.41407832,-0.008546518770000001,
7.80055182e-006,-3.82594222e-009,7.78774776e-013},
blow={-70567.9492,-54.9463948},
ahigh={-182931.9689,-75.5735868,10.05671455,-2.275132668e-005,
5.03469582e-009,-5.77653096e-013,2.67721417e-017},
bhigh={-80918.97590000001,-21.91673972},
R_s=R_NASA_2002/SnF3.MM);
constant IdealGases.Common.DataRecord SnF4(
name="SnF4",
MM=0.1947036128,
Hf=-5263213.672632991,
H0=96567.20144845716,
Tlimit=1000,
alow={139044.1119,-2168.784371,16.91802917,-0.002318608529,-2.045847976e-006,
3.4300879e-009,-1.28922886e-012},
blow={-115356.3396,-63.7060475},
ahigh={-263569.2764,-144.5469969,13.10690681,-4.23775579e-005,
9.28687195e-009,-1.057062694e-012,4.86710868e-017},
bhigh={-127153.9967,-38.039219},
R_s=R_NASA_2002/SnF4.MM);
constant IdealGases.Common.DataRecord SnI(
name="SnI",
MM=0.24561447,
Hf=703236.3443407874,
H0=41435.35191554471,
Tlimit=1000,
alow={26702.12235,-500.602635,7.49067315,-0.008746346550000001,
1.289688397e-005,-8.211344929999999e-009,1.936120475e-012},
blow={21772.49172,-9.354806849999999},
ahigh={-55549.91850000001,-1530.457453,7.93260139,-0.002108885464,
7.8098036e-007,-1.348104887e-010,8.207184700000001e-015},
bhigh={27448.64953,-16.26822892},
R_s=R_NASA_2002/SnI.MM);
constant IdealGases.Common.DataRecord SnI2(
name="SnI2",
MM=0.37251894,
Hf=-21654.5687583026,
H0=39953.03701873522,
Tlimit=1000,
alow={-5739.25489,-94.3502445,7.37795666,-0.0008258348939999999,
1.01168704e-006,-6.5084516e-010,1.7081866e-013},
blow={-2622.6445,-0.960581496},
ahigh={-15594.5339,-1.594789414,7.00135116,-5.93532424e-007,
1.407432564e-010,-1.703457321e-014,8.23361171e-019},
bhigh={-3100.608319,1.235038509},
R_s=R_NASA_2002/SnI2.MM);
constant IdealGases.Common.DataRecord SnI3(
name="SnI3",
MM=0.49942341,
Hf=-16053.59268200904,
H0=40665.61477364467,
Tlimit=1000,
alow={-10699.78099,-138.769354,10.55637633,-0.001216435658,1.490873499e-006,
-9.594499629999999e-010,2.518810438e-013},
blow={-3314.22988,-12.49558209},
ahigh={-25175.3487,-2.34828289,10.0019913,-8.752764839999999e-007,
2.07646498e-010,-2.514060336e-014,1.215482266e-018},
bhigh={-4017.05561,-9.26390846},
R_s=R_NASA_2002/SnI3.MM);
constant IdealGases.Common.DataRecord SnI4(
name="SnI4",
MM=0.6263278800000001,
Hf=-189763.2961828236,
H0=42702.80447997939,
Tlimit=1000,
alow={-12831.46793,-145.9885093,13.58634885,-0.001283554646,
1.574557147e-006,-1.013990168e-009,2.66337043e-013},
blow={-17511.78045,-23.67973168},
ahigh={-28018.40706,-2.474699366,13.00210215,-9.250962339999999e-007,
2.196515817e-010,-2.661071614e-014,1.287167546e-018},
bhigh={-18250.83832,-20.27484281},
R_s=R_NASA_2002/SnI4.MM);
constant IdealGases.Common.DataRecord SnO(
name="SnO",
MM=0.1347094,
Hf=162654.2319986579,
H0=65875.92996479831,
Tlimit=1000,
alow={25477.88022,-229.3583066,3.42159353,0.00471330004,-7.36597132e-006,
5.37973887e-009,-1.519277855e-012},
blow={2853.047679,6.67396527},
ahigh={-2555955.548,7870.0535,-5.43976873,0.00630781918,-2.06887137e-006,
3.30707488e-010,-1.848169716e-014},
bhigh={-48416.6391,71.75952460000001},
R_s=R_NASA_2002/SnO.MM);
constant IdealGases.Common.DataRecord SnO2(
name="SnO2",
MM=0.1507088,
Hf=77501.64555752551,
H0=78268.02416315438,
Tlimit=1000,
alow={47076.7408,-611.456867,6.11743391,0.00751401466,-1.238371787e-005,
9.22091599e-009,-2.632417597e-012},
blow={2981.068066,-8.14492641},
ahigh={-157355.8926,-142.7316788,7.60570076,-4.19800853e-005,
9.218742430000002e-009,-1.051372983e-012,4.84957927e-017},
bhigh={-523.453187,-14.28360169},
R_s=R_NASA_2002/SnO2.MM);
constant IdealGases.Common.DataRecord SnS(
name="SnS",
MM=0.150775,
Hf=736853.0061349694,
H0=61688.68844304427,
Tlimit=1000,
alow={27248.77813,-492.412638,6.22165473,-0.00340940696,3.98491368e-006,-2.470702874e-009,
6.33934146e-013},
blow={14524.95307,-6.791285229},
ahigh={-1797985.129,6141.73632,-4.01950488,0.005993829179999999,-2.188735204e-006,
3.899542e-010,-2.40656363e-014},
bhigh={-26113.49815,62.56820705},
R_s=R_NASA_2002/SnS.MM);
constant IdealGases.Common.DataRecord SnS2(
name="SnS2",
MM=0.18284,
Hf=818451.0774447605,
H0=74573.91708597681,
Tlimit=1000,
alow={38771.4541,-848.695394,10.4208399,-0.005686902670000001,
6.37382977e-006,-3.8251581e-009,9.50248096e-013},
blow={20060.27952,-27.23724769},
ahigh={-67640.84050000001,-19.70189679,7.51533387,-6.33255918e-006,
1.434207625e-009,-1.676383081e-013,7.886911900000001e-018},
bhigh={15650.53629,-9.922744838},
R_s=R_NASA_2002/SnS2.MM);
constant IdealGases.Common.DataRecord Sn2(
name="Sn2",
MM=0.23742,
Hf=1774676.678460113,
H0=47903.02838850982,
Tlimit=1000,
alow={-132966.6654,1639.179787,-1.902868972,0.01290431677,-1.120542242e-005,
4.50299386e-009,-6.05623777e-013},
blow={40974.5271,44.35408029999999},
ahigh={-4275783.04,12364.21656,-8.43833617,0.00708805629,-1.712012737e-006,
1.805262952e-010,-7.058656809999999e-015},
bhigh={-30014.1872,100.5138538},
R_s=R_NASA_2002/Sn2.MM);
constant IdealGases.Common.DataRecord Sr(
name="Sr",
MM=0.08762,
Hf=1831773.567678612,
H0=70730.74640493038,
Tlimit=1000,
alow={4.19064984,-0.0630443758,2.500373027,-1.115455943e-006,
1.785248643e-009,-1.456209589e-012,4.750132981e-016},
blow={18558.52648,5.55577284},
ahigh={14894144.1,-43753.3505,51.3726628,-0.02592566025,6.58299e-006,-6.949611799999999e-010,
2.417779662e-014},
bhigh={297754.5522,-345.489077},
R_s=R_NASA_2002/Sr.MM);
constant IdealGases.Common.DataRecord Srplus(
name="Srplus",
MM=0.08761945140000001,
Hf=8173599.772162005,
H0=70731.18926193139,
Tlimit=1000,
alow={11.27287678,-0.134695187,2.500651495,-1.635163061e-006,
2.249493149e-009,-1.610827539e-012,4.698612333e-016},
blow={85389.81180000001,6.24725924},
ahigh={3145095.058,-9514.756889999999,13.50086948,-0.00605971712,
1.594068746e-006,-1.718800946e-010,6.322256169e-015},
bhigh={145799.1907,-72.3641693},
R_s=R_NASA_2002/Srplus.MM);
constant IdealGases.Common.DataRecord SrBr(
name="SrBr",
MM=0.167524,
Hf=-381543.4087056183,
H0=60332.38222583033,
Tlimit=1000,
alow={-754.9812420000001,-73.5953201,4.82803581,-0.000716058465,
1.028527433e-006,-6.88837072e-010,1.880257878e-013},
blow={-8686.168450000001,4.15115309},
ahigh={3009976.114,-9193.19224,15.26033745,-0.00600925395,1.692611858e-006,
-2.039438429e-010,8.807775840000001e-015},
bhigh={49228.06129999999,-70.6825383},
R_s=R_NASA_2002/SrBr.MM);
constant IdealGases.Common.DataRecord SrBr2(
name="SrBr2",
MM=0.247428,
Hf=-1643814.972436426,
H0=66017.78699257966,
Tlimit=1000,
alow={-4632.45866,-72.4493864,7.80021716,-0.000677212531,8.53778024e-007,-5.63235174e-010,
1.510568795e-013},
blow={-50822.3833,-5.28507476},
ahigh={-11861.73059,-1.404383013,7.50121557,-5.415983190000001e-007,
1.296969275e-010,-1.580911652e-014,7.68158227e-019},
bhigh={-51185.75210000001,-3.55203711},
R_s=R_NASA_2002/SrBr2.MM);
constant IdealGases.Common.DataRecord SrCL(
name="SrCL",
MM=0.123073,
Hf=-1038959.658089102,
H0=79628.49690833896,
Tlimit=1000,
alow={3555.34632,-172.9385697,5.21345102,-0.001542910668,2.025835568e-006,-1.327076633e-009,
3.54717596e-013},
blow={-15882.88066,0.4818144784},
ahigh={2070217.324,-6199.89173,11.50315072,-0.00367568546,9.46173235e-007,-9.203765750000001e-011,
2.707242192e-015},
bhigh={22714.71632,-45.61058514},
R_s=R_NASA_2002/SrCL.MM);
constant IdealGases.Common.DataRecord SrCLplus(
name="SrCLplus",
MM=0.1230724514,
Hf=3316031.795560708,
H0=77862.77018936505,
Tlimit=1000,
alow={1689.043529,-174.9284676,5.06532864,-0.0009857327839999999,
1.071655138e-006,-5.988127129999999e-010,1.395650932e-013},
blow={48611.9026,0.2492001711},
ahigh={-21324.75783,-4.05794827,4.50314939,3.82620238e-005,2.67695151e-009,
5.667610500000001e-014,1.613288103e-018},
bhigh={47693.2603,3.637722496},
R_s=R_NASA_2002/SrCLplus.MM);
constant IdealGases.Common.DataRecord SrCL2(
name="SrCL2",
MM=0.158526,
Hf=-3058261.118050036,
H0=90938.38234737518,
Tlimit=1000,
alow={1913.170011,-268.1156951,8.0813343,-0.002393329295,2.976397494e-006,-1.943902862e-009,
5.17430771e-013},
blow={-59101.1185,-8.457827543000001},
ahigh={-25927.16099,-5.26378585,7.00447524,-1.970397814e-006,4.6796712e-010,
-5.67021588e-014,2.742892387e-018},
bhigh={-60453.9953,-2.192202775},
R_s=R_NASA_2002/SrCL2.MM);
constant IdealGases.Common.DataRecord SrF(
name="SrF",
MM=0.1066184032,
Hf=-2847095.612851947,
H0=87068.57091628248,
Tlimit=1000,
alow={27250.08615,-485.001972,6.1126972,-0.003008469209,3.3684658e-006,-1.987813072e-009,
4.88416109e-013},
blow={-35368.9039,-6.68373918},
ahigh={870234.0489999999,-2589.81877,7.20026422,-0.001173446296,
1.996165066e-007,1.103842667e-011,-2.343183859e-015},
bhigh={-21336.71699,-16.67390309},
R_s=R_NASA_2002/SrF.MM);
constant IdealGases.Common.DataRecord SrFplus(
name="SrFplus",
MM=0.1066178546,
Hf=1964664.481252842,
H0=85415.44973087461,
Tlimit=1000,
alow={40096.242,-594.494608,6.18233033,-0.00271615975,2.641369127e-006,-1.383123292e-009,
3.052935853e-013},
blow={26971.49351,-8.313659449999999},
ahigh={-47520.8206,-25.26802345,4.51929528,2.55642675e-005,3.38254183e-009,
-1.511394636e-013,9.53749118e-018},
bhigh={23838.61417,1.892197325},
R_s=R_NASA_2002/SrFplus.MM);
constant IdealGases.Common.DataRecord SrF2(
name="SrF2",
MM=0.1256168064,
Hf=-6247522.266256246,
H0=105635.5545112792,
Tlimit=1000,
alow={41707.5965,-850.0132410000001,10.02806064,-0.00609848519,
7.05626133e-006,-4.35937431e-009,1.11130831e-012},
blow={-92178.59849999999,-23.25100053},
ahigh={-61262.6543,-19.64060822,7.01555775,-6.51252678e-006,
1.490473613e-009,-1.75643704e-013,8.317093849999999e-018},
bhigh={-96567.0125,-5.40230876},
R_s=R_NASA_2002/SrF2.MM);
constant IdealGases.Common.DataRecord SrH(
name="SrH",
MM=0.08862793999999999,
Hf=2473566.518639608,
H0=98423.87174969881,
Tlimit=1000,
alow={-43177.9689,767.64297,-1.594398638,0.01500711077,-1.826296898e-005,
1.136757659e-008,-2.855588359e-012},
blow={21796.85693,33.2467423},
ahigh={-226982.5428,1345.209458,1.152194421,0.003109555289,-1.188080968e-006,
2.073091147e-010,-1.300839287e-014},
bhigh={17355.47062,21.12916944},
R_s=R_NASA_2002/SrH.MM);
constant IdealGases.Common.DataRecord SrI(
name="SrI",
MM=0.21452447,
Hf=-36600.37477309698,
H0=47934.50369554578,
Tlimit=1000,
alow={-2467.498501,-25.35495809,4.60329848,-0.0001613676212,
2.694294049e-007,-1.564795762e-010,3.82648228e-014},
blow={-2175.538291,6.41148188},
ahigh={2201136.857,-7082.2307,13.32597928,-0.00530586442,1.63607115e-006,-2.205540591e-010,
1.078496824e-014},
bhigh={42190.77170000001,-55.308332},
R_s=R_NASA_2002/SrI.MM);
constant IdealGases.Common.DataRecord SrI2(
name="SrI2",
MM=0.34142894,
Hf=-814866.0216090645,
H0=48916.93715242767,
Tlimit=1000,
alow={-4391.84969,-37.5726735,7.6569935,-0.00035617213,
4.508689010000001e-007,-2.983230473e-010,8.01865866e-014},
blow={-35533.0346,-2.598281578},
ahigh={-8090.381920000001,-0.734826323,7.50064006,-2.863515042e-007,
6.87655697e-011,-8.398807359999999e-015,4.08696816e-019},
bhigh={-35721.0642,-1.693119087},
R_s=R_NASA_2002/SrI2.MM);
constant IdealGases.Common.DataRecord SrO(
name="SrO",
MM=0.1036194,
Hf=-137114.1986925228,
H0=87243.40229725321,
Tlimit=1000,
alow={42248.9167,-591.3517869999999,5.964363,-0.002105712736,
2.028373972e-006,-1.197885492e-009,3.46628992e-013},
blow={101.8053721,-7.51142747},
ahigh={-51729330.5,151082.1,-161.4513515,0.08516051790000001,-2.091669402e-005,
2.452307103e-009,-1.108841292e-013},
bhigh={-968782.9519999999,1197.846971},
R_s=R_NASA_2002/SrO.MM);
constant IdealGases.Common.DataRecord SrOH(
name="SrOH",
MM=0.10462734,
Hf=-1855019.213907187,
H0=105581.0651403352,
Tlimit=1000,
alow={46400.06559999999,-993.868554,9.78494896,-0.00577437762,
5.126164110000001e-006,-1.833418356e-009,1.92601341e-013},
blow={-20227.21196,-27.40670981},
ahigh={2545648.379,-7416.19598,13.81956204,-0.003096481934,7.72389421e-007,
-7.921280320000001e-011,2.740829111e-015},
bhigh={22313.02058,-61.4878113},
R_s=R_NASA_2002/SrOH.MM);
constant IdealGases.Common.DataRecord SrOHplus(
name="SrOHplus",
MM=0.1046267914,
Hf=2964533.279188374,
H0=106135.0429599431,
Tlimit=1000,
alow={38573.6694,-903.024233,9.451103249999999,-0.00504251628,
4.190101890000001e-006,-1.196920603e-009,1.606318743e-014},
blow={39950.67720000001,-26.0148611},
ahigh={867969.566,-2340.609538,7.97682975,0.0001023752569,-6.28603233e-008,
1.024851502e-011,-5.72368392e-016},
bhigh={50731.5772,-20.27046917},
R_s=R_NASA_2002/SrOHplus.MM);
constant IdealGases.Common.DataRecord Sr_OH_2(
name="Sr_OH_2",
MM=0.12163468,
Hf=-4905628.666100819,
H0=139860.7781925352,
Tlimit=1000,
alow={72050.90300000001,-1789.465226,17.29429139,-0.01169280781,
1.106702894e-005,-4.49014609e-009,6.603997460000001e-013},
blow={-66053.94040000001,-63.88681219999999},
ahigh={1750013.518,-4681.6015,13.95548402,0.000203501956,-1.253496115e-007,
2.044549432e-011,-1.142004855e-015},
bhigh={-44271.7024,-50.5145685},
R_s=R_NASA_2002/Sr_OH_2.MM);
constant IdealGases.Common.DataRecord SrS(
name="SrS",
MM=0.119685,
Hf=871882.9845009816,
H0=79676.77653841332,
Tlimit=1000,
alow={12564.40807,-315.0436559,5.72172251,-0.002630479718,3.38469975e-006,-2.296256846e-009,
6.512086680000001e-013},
blow={12772.9516,-3.693874943},
ahigh={-13794329.47,39213.3158,-36.0286638,0.01818513386,-3.27585816e-006,
2.324312746e-010,-3.6145557e-015},
bhigh={-241024.6179,299.1679642},
R_s=R_NASA_2002/SrS.MM);
constant IdealGases.Common.DataRecord Sr2(
name="Sr2",
MM=0.17524,
Hf=1755137.736818078,
H0=64854.6964163433,
Tlimit=1000,
alow={-110885.9753,592.760401,8.43968855,-0.02652801112,4.43582597e-005,-3.39991549e-008,
9.965546679999999e-012},
blow={31576.15033,-7.03396665},
ahigh={209844.5682,103.865013,2.30933233,0.0001330517507,-4.42643339e-008,
6.71141915e-012,-3.374128e-016},
bhigh={36366.4269,21.68088517},
R_s=R_NASA_2002/Sr2.MM);
constant IdealGases.Common.DataRecord Ta(
name="Ta",
MM=0.1809479,
Hf=4324552.194305654,
H0=34262.00580388057,
Tlimit=1000,
alow={-11509.07339,47.8073043,3.18558839,-0.00536652816,1.288379705e-005,-1.045798666e-008,
3.050617695e-012},
blow={92997.97630000001,5.33605661},
ahigh={1689726.898,-5986.85466,9.565039670000001,-0.002511649459,
6.44303117e-007,-7.189237249999999e-011,3.11335207e-015},
bhigh={130671.0983,-43.3509627},
R_s=R_NASA_2002/Ta.MM);
constant IdealGases.Common.DataRecord Taplus(
name="Taplus",
MM=0.1809473514,
Hf=8564255.420209482,
H0=35025.85117142533,
Tlimit=1000,
alow={286971.2865,-3084.920994,14.30679704,-0.01984772164,1.951445133e-005,
-8.97094603e-009,1.501974665e-012},
blow={201382.8712,-63.0642783},
ahigh={3656142.13,-12540.73524,18.65022579,-0.007943274660000001,
2.151786937e-006,-2.816764844e-010,1.413722944e-014},
bhigh={263687.6455,-106.5864286},
R_s=R_NASA_2002/Taplus.MM);
constant IdealGases.Common.DataRecord Taminus(
name="Taminus",
MM=0.1809484486,
Hf=4119789.004922146,
H0=35458.32555980256,
Tlimit=1000,
alow={187398.2301,-1681.268679,6.48004015,-0.0002254355782,2.028434876e-006,
-4.67980143e-009,1.997027996e-012},
blow={97934.96019999999,-20.49618155},
ahigh={-4235467.48,11010.56361,-4.73691107,0.002503562129,-4.82185169e-007,
4.88640803e-011,-2.030547835e-015},
bhigh={15746.99408,64.918027},
R_s=R_NASA_2002/Taminus.MM);
constant IdealGases.Common.DataRecord TaCL5(
name="TaCL5",
MM=0.3582129,
Hf=-2135140.86176126,
H0=75008.74479953123,
Tlimit=1000,
alow={63064.8329,-1771.221442,22.55083356,-0.01360238041,1.613009806e-005,-1.016307761e-008,
2.631917453e-012},
blow={-87927.37109999999,-80.97864282000001},
ahigh={-142644.4545,-38.9434032,16.0314237,-1.333676355e-005,
3.084307611e-009,-3.66393006e-013,1.745841795e-017},
bhigh={-97012.9717,-42.56986372},
R_s=R_NASA_2002/TaCL5.MM);
constant IdealGases.Common.DataRecord TaO(
name="TaO",
MM=0.1969473,
Hf=1231470.068388853,
H0=44509.90188745923,
Tlimit=1000,
alow={-13957.38049,394.523699,-0.0630169641,0.01308595441,-1.86233973e-005,
1.366155583e-008,-3.92455123e-012},
blow={26451.95419,27.41671469},
ahigh={6106591.12,-19841.35246,28.15797433,-0.01330045882,3.87680749e-006,-5.068872769999999e-010,
2.443666035e-014},
bhigh={152581.4433,-165.8307106},
R_s=R_NASA_2002/TaO.MM);
constant IdealGases.Common.DataRecord TaO2(
name="TaO2",
MM=0.2129467,
Hf=-815518.6532592428,
H0=50243.08430231603,
Tlimit=1000,
alow={15163.56303,70.58414759999999,0.691851699,0.02020605733,-2.928317413e-005,
2.081417374e-008,-5.751106690000001e-012},
blow={-22121.99468,24.846625},
ahigh={1297565.964,-4149.217430000001,10.41680373,-0.001045478838,
2.754904271e-007,-3.29704313e-011,1.356249074e-015},
bhigh={3418.98567,-33.9264279},
R_s=R_NASA_2002/TaO2.MM);
constant IdealGases.Common.DataRecord Ti(
name="Ti",
MM=0.047867,
Hf=9881546.785885891,
H0=157501.8488729187,
Tlimit=1000,
alow={-45701.79399999999,660.809202,0.429525749,0.00361502991,-3.54979281e-006,
1.759952494e-009,-3.052720871e-013},
blow={52709.4793,20.26149738},
ahigh={-170478.6714,1073.852803,1.181955014,0.0002245246352,
3.091697848e-007,-5.74002728e-011,2.927371014e-015},
bhigh={49780.69910000001,17.40431368},
R_s=R_NASA_2002/Ti.MM);
constant IdealGases.Common.DataRecord Tiplus(
name="Tiplus",
MM=0.0478664514,
Hf=23766625.59531204,
H0=165038.9525219745,
Tlimit=1000,
alow={170745.7044,-1727.524602,9.615885329999999,-0.0108965506,
8.20180965e-006,-2.871464413e-009,3.420382976e-013},
blow={144789.7558,-34.6314366},
ahigh={-768546.308,2545.8681,0.342386278,0.000709990136,2.706231875e-008,-2.3716601e-011,
1.895443077e-015},
bhigh={119882.1489,24.8479915},
R_s=R_NASA_2002/Tiplus.MM);
constant IdealGases.Common.DataRecord Timinus(
name="Timinus",
MM=0.0478675486,
Hf=9593217.689865155,
H0=157990.4177503671,
Tlimit=1000,
alow={-3006.48499,204.0911689,1.822638976,0.001245254812,-1.309239865e-006,
7.37214322e-010,-1.724319779e-013},
blow={53467.7205,12.05926588},
ahigh={23411.1764,2.580413872,2.497754577,9.76907204e-007,-2.280024955e-010,
2.717202291e-014,-1.295670294e-018},
bhigh={54546.62179999999,7.99982395},
R_s=R_NASA_2002/Timinus.MM);
constant IdealGases.Common.DataRecord TiCL(
name="TiCL",
MM=0.08331999999999999,
Hf=1810500.792126741,
H0=116186.1017762842,
Tlimit=1000,
alow={-17141.77839,310.3259047,0.892093598,0.01383436793,-1.885370354e-005,
1.212085912e-008,-3.032162427e-012},
blow={15580.66453,22.44778384},
ahigh={-963322.542,2868.829781,1.973820676,0.001752668011,-4.25543436e-007,
5.0491034e-011,-2.304720715e-015},
bhigh={-1811.011561,23.19450287},
R_s=R_NASA_2002/TiCL.MM);
constant IdealGases.Common.DataRecord TiCL2(
name="TiCL2",
MM=0.118773,
Hf=-1997339.462672493,
H0=114043.343184057,
Tlimit=1000,
alow={13243.54656,-576.282932,9.64004729,-0.00447512095,
5.398794869999999e-006,-3.52580049e-009,9.74600455e-013},
blow={-27920.66683,-22.18347625},
ahigh={-3190012.95,10157.63826,-4.84079477,0.00682200634,-1.70075327e-006,
2.118106588e-010,-1.041245457e-014},
bhigh={-94809.82980000001,78.23195948},
R_s=R_NASA_2002/TiCL2.MM);
constant IdealGases.Common.DataRecord TiCL3(
name="TiCL3",
MM=0.154226,
Hf=-3496946.04022668,
H0=99691.01837563056,
Tlimit=1000,
alow={124328.2268,-2320.728253,17.79895274,-0.01160889348,1.006643154e-005,
-4.81194069e-009,1.006186828e-012},
blow={-56096.0251,-67.32754065},
ahigh={-94087.92310000002,-125.5351109,10.66923972,-0.0002637456897,
7.95916935e-008,-1.176740054e-011,6.41622348e-016},
bhigh={-67691.1468,-23.69164216},
R_s=R_NASA_2002/TiCL3.MM);
constant IdealGases.Common.DataRecord TiCL4(
name="TiCL4",
MM=0.189679,
Hf=-4023429.056458543,
H0=113947.9910796662,
Tlimit=1000,
alow={81871.96800000001,-1758.32385,18.92512121,-0.01133495876,
1.251952037e-005,-7.422681329999999e-009,1.825440187e-012},
blow={-86729.23109999999,-67.69594291},
ahigh={-143256.2278,-43.1677485,13.03337752,-1.371365738e-005,
3.093403483e-009,-3.60424516e-013,1.691384523e-017},
bhigh={-95889.46999999999,-32.47541011},
R_s=R_NASA_2002/TiCL4.MM);
constant IdealGases.Common.DataRecord TiO(
name="TiO",
MM=0.0638664,
Hf=775112.0307391679,
H0=150205.9768516779,
Tlimit=1000,
alow={-11681.5246,454.256565,-0.1139144613,0.01275432333,-1.727656935e-005,
1.187369403e-008,-3.23657937e-012},
blow={2924.306353,27.02903947},
ahigh={2330644.03,-7415.79386,12.81799311,-0.004344555950000001,
1.186303111e-006,-1.367644275e-010,5.70321225e-015},
bhigh={51448.4136,-57.9399424},
R_s=R_NASA_2002/TiO.MM);
constant IdealGases.Common.DataRecord TiOplus(
name="TiOplus",
MM=0.06386585139999999,
Hf=10730632.97485454,
H0=144257.2329036547,
Tlimit=1000,
alow={36912.5625,-149.2825538,2.624977257,0.00581862713,-7.52966211e-006,
4.74415435e-009,-1.186916989e-012},
blow={82415.51169999999,10.95428726},
ahigh={342132.953,-2161.85106,8.02517566,-0.002708700692,1.004583805e-006,-1.50576685e-010,
8.04565811e-015},
bhigh={93626.4699,-22.61587887},
R_s=R_NASA_2002/TiOplus.MM);
constant IdealGases.Common.DataRecord TiOCL(
name="TiOCL",
MM=0.0993194,
Hf=-2459358.393224285,
H0=122259.1054718413,
Tlimit=1000,
alow={35458.5651,-629.528714,7.3701763,0.00330201914,-6.12145875e-006,
4.73588025e-009,-1.374690357e-012},
blow={-27970.87903,-12.94470159},
ahigh={-127305.9873,-111.111885,7.58288808,-3.3128718e-005,7.31401409e-009,
-8.37882226e-013,3.87927506e-017},
bhigh={-31393.56857,-12.47104274},
R_s=R_NASA_2002/TiOCL.MM);
constant IdealGases.Common.DataRecord TiOCL2(
name="TiOCL2",
MM=0.1347724,
Hf=-4047950.470571125,
H0=123986.8845549979,
Tlimit=1000,
alow={32890.5246,-738.918859,10.55976857,0.001577742341,-3.9071821e-006,
3.29057653e-009,-9.949471750000001e-013},
blow={-64484.107,-24.17469934},
ahigh={-132295.1633,-96.91212050000002,10.07240769,-2.897248531e-005,
6.40177504e-009,-7.3384526e-013,3.39928267e-017},
bhigh={-68474.09640000001,-19.75043469},
R_s=R_NASA_2002/TiOCL2.MM);
constant IdealGases.Common.DataRecord TiO2(
name="TiO2",
MM=0.07986579999999999,
Hf=-3824290.246889157,
H0=142134.5557172156,
Tlimit=1000,
alow={-1710.545601,272.1435528,0.596137896,0.01925463599,-2.665500165e-005,
1.811109197e-008,-4.87671047e-012},
blow={-39122.4177,24.08605889},
ahigh={154629.9764,-1046.25688,7.78898583,-0.0001546805714,-7.05993595e-008,
3.100244802e-011,-2.49472543e-015},
bhigh={-32663.3675,-15.9153466},
R_s=R_NASA_2002/TiO2.MM);
constant IdealGases.Common.DataRecord U(
name="U",
MM=0.23802891,
Hf=2247626.139194605,
H0=27304.64127235637,
Tlimit=1000,
alow={69657.3775,-1070.351517,8.075842310000001,-0.01060034069,
9.25654801e-006,-3.21989976e-009,4.058048809e-013},
blow={68665.137,-22.40521678},
ahigh={-4092498.96,12748.88349,-12.18707506,0.00725810568,-7.78777507e-007,
-3.84435385e-011,7.066508567e-015},
bhigh={-16993.72664,115.5026301},
R_s=R_NASA_2002/U.MM);
constant IdealGases.Common.DataRecord UF(
name="UF",
MM=0.2570273132,
Hf=-191616.7444884609,
H0=36521.65555143032,
Tlimit=1000,
alow={172553.3463,-1698.985561,5.90292643,0.01841977309,-4.633174310000001e-005,
4.376657200000001e-008,-1.451876566e-011},
blow={2086.455917,-11.86592944},
ahigh={-5325439.37,15339.67086,-11.75044398,0.00964721093,-2.49877819e-006,
3.155572896e-010,-1.544694839e-014},
bhigh={-105719.6525,122.0828149},
R_s=R_NASA_2002/UF.MM);
constant IdealGases.Common.DataRecord UFplus(
name="UFplus",
MM=0.2570267646,
Hf=2167318.908857323,
H0=36958.66854482439,
Tlimit=1000,
alow={1622640.597,-19173.26611,87.5946122,-0.1699915707,0.0001861251683,-1.036176702e-007,
2.324287412e-011},
blow={161670.9643,-480.6891249},
ahigh={539509.184,-2923.962095,10.08511948,-0.002425945123,5.92872548e-007,
-6.79584554e-011,3.152666445e-015},
bhigh={82672.91220000001,-33.07089704},
R_s=R_NASA_2002/UFplus.MM);
constant IdealGases.Common.DataRecord UFminus(
name="UFminus",
MM=0.2570278618,
Hf=-605689.9509250013,
H0=35622.62447300179,
Tlimit=1000,
alow={3692.32786,-149.1979606,4.03398852,0.002857429445,-5.17170256e-006,
3.98537911e-009,-9.47035544e-013},
blow={-19152.81695,6.059243838},
ahigh={-4311143.56,19748.17938,-27.60304763,0.02276806261,-6.88874172e-006,
9.483511059999999e-010,-4.9106881e-014},
bhigh={-138080.129,224.0758537},
R_s=R_NASA_2002/UFminus.MM);
constant IdealGases.Common.DataRecord UF2(
name="UF2",
MM=0.2760257164,
Hf=-1938358.21523476,
H0=54894.85616638001,
Tlimit=1000,
alow={-38824.9202,445.493086,4.71800919,0.00164891148,
8.696243010000001e-006,-1.207439921e-008,4.53679391e-012},
blow={-68553.29330000001,11.59725423},
ahigh={-471677.682,322.423686,8.214090629999999,-0.000140741378,
6.54117805e-009,1.818915497e-012,-2.287963719e-016},
bhigh={-69952.3505,-9.648963156000001},
R_s=R_NASA_2002/UF2.MM);
constant IdealGases.Common.DataRecord UF2plus(
name="UF2plus",
MM=0.2760251678,
Hf=255214.1442806506,
H0=52303.66170979283,
Tlimit=1000,
alow={5439.01016,-150.7096256,6.87348519,0.001530973969,-3.31669431e-006,
2.949453335e-009,-8.28170654e-013},
blow={7256.01491,-2.205491833},
ahigh={-3779149.61,12987.37504,-10.27930641,0.01048838051,-2.651047812e-006,
3.116973593e-010,-1.417216291e-014},
bhigh={-74334.402,118.9131079},
R_s=R_NASA_2002/UF2plus.MM);
constant IdealGases.Common.DataRecord UF2minus(
name="UF2minus",
MM=0.2760262650000001,
Hf=-2457132.820313313,
H0=47652.49060628342,
Tlimit=1000,
alow={806049.1730000001,-9404.254659999999,44.4839277,-0.0686855877,
6.777809920000001e-005,-3.33882768e-008,6.60485162e-012},
blow={-36033.0613,-226.1594249},
ahigh={10382318.55,-28401.13518,34.9853337,-0.01053216396,1.92462047e-006,-1.69874957e-010,
5.70985889e-015},
bhigh={100157.2794,-209.4039075},
R_s=R_NASA_2002/UF2minus.MM);
constant IdealGases.Common.DataRecord UF3(
name="UF3",
MM=0.2950241196,
Hf=-3596175.792130048,
H0=63191.657093246,
Tlimit=1000,
alow={30710.27207,-634.078947,11.14030799,-0.0002937554125,-1.865390371e-006,
2.37181947e-009,-7.44675407e-013},
blow={-127183.8141,-23.48962529},
ahigh={-3828876.42,12968.91783,-7.26555429,0.01048289752,-2.649840687e-006,
3.115594509e-010,-1.4165794e-014},
bhigh={-211361.5913,105.4464687},
R_s=R_NASA_2002/UF3.MM);
constant IdealGases.Common.DataRecord UF3plus(
name="UF3plus",
MM=0.295023571,
Hf=-965161.6277127904,
H0=63245.35336873134,
Tlimit=1000,
alow={-398415.589,3480.89244,-2.519603507,0.02283749282,-2.16884478e-005,
1.11126579e-008,-2.350882012e-012},
blow={-55508.892,58.53815975},
ahigh={-1196316.388,3972.78507,4.53590711,0.00413341615,-1.097960689e-006,
1.319641252e-010,-6.10112918e-015},
bhigh={-61995.4174,21.37623045},
R_s=R_NASA_2002/UF3plus.MM);
constant IdealGases.Common.DataRecord UF3minus(
name="UF3minus",
MM=0.2950246682,
Hf=-4021496.840378447,
H0=65615.96736336911,
Tlimit=1000,
alow={-231518.73,2534.197822,-3.18071459,0.02932741422,-2.85691226e-005,
1.345804152e-008,-2.465442912e-012},
blow={-158038.7746,59.73605435},
ahigh={-191005.3149,-506.918131,11.81482258,-0.0001711879404,-9.38483918e-008,
2.242009537e-011,-1.42819528e-015},
bhigh={-143862.8681,-27.74680411},
R_s=R_NASA_2002/UF3minus.MM);
constant IdealGases.Common.DataRecord UF4(
name="UF4",
MM=0.3140225228,
Hf=-5114784.136114202,
H0=69716.59804778818,
Tlimit=1000,
alow={-50078.5238,-969.349355,20.69596355,-0.02564852637,4.19586012e-005,-3.20101339e-008,
9.422076860000001e-012},
blow={-193162.6334,-71.72362935},
ahigh={-1230291.173,3876.46379,7.62162591,0.004094525220000001,-1.088530094e-006,
1.308042117e-010,-6.04439087e-015},
bhigh={-221414.292,6.270300658},
R_s=R_NASA_2002/UF4.MM);
constant IdealGases.Common.DataRecord UF4plus(
name="UF4plus",
MM=0.3140219742,
Hf=-2042976.405184323,
H0=64687.5622374837,
Tlimit=1000,
alow={38489.5633,-1343.282151,16.46334809,-0.00719607986,1.147165041e-005,-8.70587798e-009,
2.501076195e-012},
blow={-74050.482,-52.95285534999999},
ahigh={-1617630.159,3765.93477,9.16613853,0.002426641067,-5.695320299999999e-007,
6.021096599999999e-011,-2.438874329e-015},
bhigh={-106191.0645,-4.162641042},
R_s=R_NASA_2002/UF4plus.MM);
constant IdealGases.Common.DataRecord UF4minus(
name="UF4minus",
MM=0.3140230714,
Hf=-5503846.766081914,
H0=69666.13918674002,
Tlimit=1000,
alow={72031.7969,-1374.343862,16.40877729,-0.00436306627,2.460407959e-006,-1.498144731e-010,
-1.239417075e-013},
blow={-204517.4023,-51.72250795},
ahigh={-4639200.11,16268.24426,-9.59529105,0.01441556535,-4.008173850000001e-006,
5.140230790000001e-010,-2.511687821e-014},
bhigh={-312514.0933,127.4038784},
R_s=R_NASA_2002/UF4minus.MM);
constant IdealGases.Common.DataRecord UF5(
name="UF5",
MM=0.333020926,
Hf=-5854959.048429288,
H0=70875.07167642673,
Tlimit=1000,
alow={161576.9193,-2976.611537,25.3754242,-0.0193010567,2.561852107e-005,-1.747402896e-008,
4.73205938e-012},
blow={-223908.9616,-102.4264836},
ahigh={-1695373.88,3735.42535,12.1874804,0.002418608203,-5.67852616e-007,
6.00276561e-011,-2.430740809e-015},
bhigh={-264510.7342,-18.83137475},
R_s=R_NASA_2002/UF5.MM);
constant IdealGases.Common.DataRecord UF5plus(
name="UF5plus",
MM=0.3330203774,
Hf=-2563258.286668436,
H0=70903.04258360378,
Tlimit=1000,
alow={162651.9713,-2915.370389,24.36168077,-0.01382199656,1.339849041e-005,
-7.07857269e-009,1.57340404e-012},
blow={-92264.0485,-98.30243935},
ahigh={-262847.8263,-117.4047323,16.08988291,-3.66551671e-005,
8.221494970000001e-009,-9.53716052e-013,4.46014508e-017},
bhigh={-107629.3931,-47.63374165000001},
R_s=R_NASA_2002/UF5plus.MM);
constant IdealGases.Common.DataRecord UF5minus(
name="UF5minus",
MM=0.3330214746,
Hf=-6874725.540597317,
H0=75649.66502613644,
Tlimit=1000,
alow={-314213.0934,2020.611008,7.50849182,0.01640034396,-1.562795472e-005,
7.99024601e-009,-1.671674534e-012},
blow={-290764.7496,4.690020575},
ahigh={-1331518.187,3905.51686,10.58727667,0.00411250727,-1.09327793e-006,
1.314215436e-010,-6.07577827e-015},
bhigh={-304950.6955,-7.977511665},
R_s=R_NASA_2002/UF5minus.MM);
constant IdealGases.Common.DataRecord UF6(
name="UF6",
MM=0.3520193292,
Hf=-6103760.418165129,
H0=75630.36967459797,
Tlimit=1000,
alow={191567.406,-3426.39161,28.0039589,-0.01326392086,1.107123764e-005,-4.821754109999999e-009,
8.32513245e-013},
blow={-246104.5194,-121.1612947},
ahigh={-340902.792,-145.8950046,19.10902533,-4.358451129999999e-005,
9.617604659999999e-009,-1.100915551e-012,5.09264508e-017},
bhigh={-264364.5561,-65.79130395999999},
R_s=R_NASA_2002/UF6.MM);
constant IdealGases.Common.DataRecord UF6minus(
name="UF6minus",
MM=0.3520198778,
Hf=-7645324.368668365,
H0=78775.65657174375,
Tlimit=1000,
alow={156923.0858,-3027.27994,27.01442427,-0.01136860992,8.29857616e-006,-2.582889593e-009,
2.790817248e-013},
blow={-313530.7376,-112.8934794},
ahigh={2699676.848,-6574.45967,22.41731997,0.000605779971,-4.51749171e-007,
7.821820469999999e-011,-4.56033472e-015},
bhigh={-285566.7984,-91.82896336},
R_s=R_NASA_2002/UF6minus.MM);
constant IdealGases.Common.DataRecord UO(
name="UO",
MM=0.25402831,
Hf=120020.4378795419,
H0=37548.13390680748,
Tlimit=1000,
alow={1007249.615,-12871.90666,59.93123920000001,-0.1003445164,
8.529345550000001e-005,-2.634105066e-008,-5.350649790000001e-013},
blow={66274.4252,-322.6786779},
ahigh={-2458660.003,3942.65216,5.01603072,-0.0005450639469999999,
2.096321351e-007,-2.654652526e-011,1.361108472e-015},
bhigh={-26651.49645,5.580598689},
R_s=R_NASA_2002/UO.MM);
constant IdealGases.Common.DataRecord UOplus(
name="UOplus",
MM=0.2540277614,
Hf=2287041.084793814,
H0=34737.25450859325,
Tlimit=1000,
alow={15628.34007,-122.4921454,3.32414616,0.002467496097,-6.851856739999999e-007,
5.55207319e-011,-5.89301203e-014},
blow={69529.99740000001,9.583869879},
ahigh={-106371.4748,-1793.716133,8.024449049999999,-0.001565116442,
5.06603391e-007,-7.37397747e-011,4.07476643e-015},
bhigh={77890.8584,-21.1528425},
R_s=R_NASA_2002/UOplus.MM);
constant IdealGases.Common.DataRecord UOF(
name="UOF",
MM=0.2730267132,
Hf=-1985823.063411511,
H0=51297.01718871954,
Tlimit=1000,
alow={386.124847,51.62286899999999,4.88896252,0.00726563356,-1.134176875e-005,
8.50904175e-009,-2.354655485e-012},
blow={-67198.1338,8.269521875000001},
ahigh={-3805936.01,12952.07909,-10.25373631,0.01047841671,-2.648894949e-006,
3.114551623e-010,-1.416111895e-014},
bhigh={-147897.6701,118.4570601},
R_s=R_NASA_2002/UOF.MM);
constant IdealGases.Common.DataRecord UOF2(
name="UOF2",
MM=0.2920251164,
Hf=-3819912.060139495,
H0=61009.94400630945,
Tlimit=1000,
alow={-91066.1831,-101.4150169,13.71057013,-0.01659931694,3.082352584e-005,
-2.490530206e-008,7.580617639999999e-012},
blow={-137468.6016,-34.70029665},
ahigh={-1198944.06,3852.17341,4.63910975,0.00408773844,-1.087067018e-006,
1.306398384e-010,-6.03690152e-015},
bhigh={-161263.7583,20.18237189},
R_s=R_NASA_2002/UOF2.MM);
constant IdealGases.Common.DataRecord UOF3(
name="UOF3",
MM=0.3110235196,
Hf=-4856989.72522334,
H0=63748.10826364272,
Tlimit=1000,
alow={124925.6374,-2111.719498,18.44931536,-0.01041493583,1.469002962e-005,
-1.049770051e-008,2.922353602e-012},
blow={-174384.4024,-66.49285435},
ahigh={-1658296.049,3714.43468,9.20242554,0.002412862293,-5.66624172e-007,
5.98906211e-011,-2.42453481e-015},
bhigh={-210549.1714,-5.670532802},
R_s=R_NASA_2002/UOF3.MM);
constant IdealGases.Common.DataRecord UOF4(
name="UOF4",
MM=0.3300219228,
Hf=-5410584.593442651,
H0=68912.79769248105,
Tlimit=1000,
alow={143716.4405,-2496.730363,21.04827038,-0.00469256133,
8.741718649999999e-007,1.517555623e-009,-7.76879974e-013},
blow={-206128.4178,-82.46219615},
ahigh={-299619.0288,-167.7276501,16.12494871,-4.98441446e-005,
1.098253497e-008,-1.255803231e-012,5.80448098e-017},
bhigh={-219545.926,-50.24484645},
R_s=R_NASA_2002/UOF4.MM);
constant IdealGases.Common.DataRecord UO2(
name="UO2",
MM=0.27002771,
Hf=-1769521.73908374,
H0=49847.09532218007,
Tlimit=1000,
alow={-112965.0727,427.073027,8.41369401,-0.00976428,2.199903691e-005,-1.907665954e-008,
6.02988991e-012},
blow={-62514.433,-13.00704863},
ahigh={-1190542.635,3832.18635,2.153236312,0.00408235191,-1.085924847e-006,
1.305134065e-010,-6.03121575e-015},
bhigh={-83676.1801,25.90742388},
R_s=R_NASA_2002/UO2.MM);
constant IdealGases.Common.DataRecord UO2plus(
name="UO2plus",
MM=0.2700271614,
Hf=190699.0346194115,
H0=42871.68350020659,
Tlimit=1000,
alow={44880.2338,-648.923642,6.87424356,0.002281949316,1.859218752e-007,-1.849509036e-009,
8.14996533e-013},
blow={7891.74023,-10.28257233},
ahigh={-1589957.42,3657.74607,3.74678542,0.002394401448,-5.62410144e-007,
5.93945164e-011,-2.401047056e-015},
bhigh={-20485.58817,14.64015614},
R_s=R_NASA_2002/UO2plus.MM);
constant IdealGases.Common.DataRecord UO2minus(
name="UO2minus",
MM=0.2700282586,
Hf=-2124592.529590901,
H0=51021.98959261074,
Tlimit=1000,
alow={63419.7131,-719.61185,8.30824162,0.000962645545,-3.58373398e-006,
3.47355458e-009,-1.02279312e-012},
blow={-67181.69869999999,-16.0603012},
ahigh={-273825.164,3228.53442,-0.2805114576,0.006607310710000001,-2.070291015e-006,
2.851708013e-010,-1.466578192e-014},
bhigh={-88934.3618,41.45760316},
R_s=R_NASA_2002/UO2minus.MM);
constant IdealGases.Common.DataRecord UO2F(
name="UO2F",
MM=0.2890261132,
Hf=-3452749.75659189,
H0=54679.34307051395,
Tlimit=1000,
alow={83217.92390000001,-1327.082127,12.4012539,-0.00408415101,
7.33159348e-006,-5.98740488e-009,1.787869209e-012},
blow={-115752.6888,-34.15298625},
ahigh={-1614277.202,3712.77186,6.20330882,0.002412618055,-5.665888019999999e-007,
5.98882352e-011,-2.424485602e-015},
bhigh={-147835.7384,8.736139132},
R_s=R_NASA_2002/UO2F.MM);
constant IdealGases.Common.DataRecord UO2F2(
name="UO2F2",
MM=0.3080245164,
Hf=-4396507.2742502,
H0=61904.07576271744,
Tlimit=1000,
alow={99598.74299999999,-1530.010701,13.58992177,0.0053706558,-1.141444341e-005,
9.301197039999999e-009,-2.781220538e-012},
blow={-158031.0734,-41.96260275},
ahigh={-263655.2036,-203.2835065,13.15092994,-6.00648683e-005,
1.321137913e-008,-1.508668985e-012,6.96618275e-017},
bhigh={-166444.4818,-35.66258175},
R_s=R_NASA_2002/UO2F2.MM);
constant IdealGases.Common.DataRecord UO3(
name="UO3",
MM=0.28602711,
Hf=-2794278.524857312,
H0=52948.63483394984,
Tlimit=1000,
alow={66376.77039999999,-758.2646579999999,7.11284471,0.01322149697,-2.106191042e-005,
1.545856318e-008,-4.37856629e-012},
blow={-94133.69349999999,-8.588030428},
ahigh={-1097362.721,2808.784061,5.96612147,0.002861871152,-1.05284381e-006,
1.849985929e-010,-1.102849619e-014},
bhigh={-117336.0017,6.672828312},
R_s=R_NASA_2002/UO3.MM);
constant IdealGases.Common.DataRecord UO3minus(
name="UO3minus",
MM=0.2860276586,
Hf=-4563036.051786915,
H0=53935.6301258063,
Tlimit=1000,
alow={100014.3902,-1448.443754,12.17532415,-0.002944956748,
5.675227999999999e-006,-4.91671042e-009,1.525185713e-012},
blow={-151925.3376,-34.71731375},
ahigh={-1632938.634,3667.49541,6.24003065,0.002396952522,-5.62949023e-007,
5.94541313e-011,-2.403730982e-015},
bhigh={-184592.7385,7.032059012},
R_s=R_NASA_2002/UO3minus.MM);
constant IdealGases.Common.DataRecord V(
name="V",
MM=0.0509415,
Hf=10154138.84553851,
H0=155218.5153558494,
Tlimit=1000,
alow={-55353.7602,559.333851,2.675543482,-0.00624304963,1.565902337e-005,-1.372845314e-008,
4.16838881e-012},
blow={58206.6436,9.524567490000001},
ahigh={1200390.3,-5027.0053,10.58830594,-0.005044326100000001,
1.488547375e-006,-1.785922508e-010,8.113013866e-015},
bhigh={91707.40909999999,-47.6833632},
R_s=R_NASA_2002/V.MM);
constant IdealGases.Common.DataRecord Vplus(
name="Vplus",
MM=0.0509409514,
Hf=23041293.47297585,
H0=155038.5452753833,
Tlimit=1000,
alow={75688.3446,-841.527382,7.55923271,-0.01441722656,2.038356397e-005,-1.289073883e-008,
3.065656561e-012},
blow={144447.8191,-19.91067645},
ahigh={2347072.054,-9021.197190000001,14.77349798,-0.00689189688,
1.968884877e-006,-2.539798544e-010,1.226783122e-014},
bhigh={195835.1444,-78.5559293},
R_s=R_NASA_2002/Vplus.MM);
constant IdealGases.Common.DataRecord Vminus(
name="Vminus",
MM=0.0509420486,
Hf=9037446.974600077,
H0=154651.4758733122,
Tlimit=1000,
alow={-3799.27356,231.3840448,1.72560819,0.001429275357,-1.506038188e-006,
8.491815170000001e-010,-1.987980413e-013},
blow={53474.0292,12.61900982},
ahigh={26001.0043,2.096334097,2.498006548,8.991278839999999e-007,-2.139749508e-010,
2.581021334e-014,-1.240812796e-018},
bhigh={54700.0708,7.97790024},
R_s=R_NASA_2002/Vminus.MM);
constant IdealGases.Common.DataRecord VCL4(
name="VCL4",
MM=0.1927535,
Hf=-2734365.290383832,
H0=113010.129517752,
Tlimit=1000,
alow={77198.3471,-1702.85404,18.82697965,-0.01130896832,1.266950765e-005,-7.625019339999999e-009,
1.907582465e-012},
blow={-58637.4854,-65.59171105999999},
ahigh={-1717776.251,4550.441049999999,8.164464799999999,0.002224875998,-4.094111780000001e-007,
3.2717875e-011,-8.8586908e-016},
bhigh={-96906.20060000001,4.348293098},
R_s=R_NASA_2002/VCL4.MM);
constant IdealGases.Common.DataRecord VN(
name="VN",
MM=0.0649482,
Hf=8052571.125912651,
H0=135488.6509556847,
Tlimit=1000,
alow={-15817.37285,486.816542,-1.045200388,0.01685261043,-2.334616543e-005,
1.58871005e-008,-4.27908088e-012},
blow={59814.814,31.44995263},
ahigh={1018619.667,-3932.30557,9.856823609999999,-0.00328922171,
1.005181767e-006,-1.243211436e-010,5.48677656e-015},
bhigh={85573.18339999999,-35.52830762},
R_s=R_NASA_2002/VN.MM);
constant IdealGases.Common.DataRecord VO(
name="VO",
MM=0.0669409,
Hf=2219610.223346266,
H0=131057.4850353073,
Tlimit=1000,
alow={-13116.19784,374.781697,0.0930083486,0.01244977714,-1.688540028e-005,
1.142443381e-008,-3.04058932e-012},
blow={15237.8992,25.36811755},
ahigh={2986190.283,-10113.44974,17.18161749,-0.00787670503,2.562279547e-006,
-3.54740035e-010,1.770268056e-014},
bhigh={79612.5488,-87.89993010000001},
R_s=R_NASA_2002/VO.MM);
constant IdealGases.Common.DataRecord VO2(
name="VO2",
MM=0.0829403,
Hf=-2805604.211704081,
H0=128073.4335419573,
Tlimit=1000,
alow={-6678.58586,391.159758,-1.028549847,0.02401523419,-3.33737881e-005,
2.283623543e-008,-6.1991431e-012},
blow={-30746.09276,32.7791238},
ahigh={121063.2401,-1627.832993,9.252713099999999,-0.001572703139,
5.23143016e-007,-6.476071140000001e-011,2.847226026e-015},
bhigh={-20973.06345,-25.47380687},
R_s=R_NASA_2002/VO2.MM);
constant IdealGases.Common.DataRecord V4O10(
name="V4O10",
MM=0.36376,
Hf=-7766561.705520123,
H0=101154.6981526281,
Tlimit=1000,
alow={338573.916,-5353.92926,29.93220131,0.0581883652,-9.69634016e-005,
7.27475699e-008,-2.091628357e-011},
blow={-318934.937,-146.6398396},
ahigh={-1360273.27,-1341.69286,40.9913859,-0.000393226553,8.62849412e-008,-9.83594409e-012,
4.53563729e-016},
bhigh={-348461.612,-190.7911348},
R_s=R_NASA_2002/V4O10.MM);
constant IdealGases.Common.DataRecord W(
name="W",
MM=0.18384,
Hf=4630349.902088773,
H0=33814.87162750217,
Tlimit=1000,
alow={159522.3922,-2673.843928,20.60469727,-0.0625231523,0.0001105654838,-8.45351161e-008,
2.336187771e-011},
blow={113964.8616,-90.118369},
ahigh={-8048745.96,14657.00424,-0.2508531501,-0.002596486992,
1.409225475e-006,-2.233011706e-010,1.262640862e-014},
bhigh={-3091.130919,39.5582219},
R_s=R_NASA_2002/W.MM);
constant IdealGases.Common.DataRecord Wplus(
name="Wplus",
MM=0.1838394514,
Hf=8854687.895353457,
H0=33840.75046255279,
Tlimit=1000,
alow={-196928.4929,2670.137332,-11.31686913,0.0330818373,-3.6290355e-005,
2.066142971e-008,-4.808285562e-012},
blow={182095.0862,85.5210448},
ahigh={6387743.399999999,-20618.11463,27.59291576,-0.01244535845,
3.27120049e-006,-4.065463720000001e-010,1.912595872e-014},
bhigh={324517.443,-171.6919194},
R_s=R_NASA_2002/Wplus.MM);
constant IdealGases.Common.DataRecord Wminus(
name="Wminus",
MM=0.1838405486,
Hf=4168783.948026143,
H0=33710.8872182728,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={91429.8137,8.46116967},
ahigh={0,0,2.5,0,0,0,0},
bhigh={91429.8137,8.46116967},
R_s=R_NASA_2002/Wminus.MM);
constant IdealGases.Common.DataRecord WCL6(
name="WCL6",
MM=0.396558,
Hf=-1244993.166195109,
H0=77645.5272620903,
Tlimit=1000,
alow={33393.9167,-1697.36608,25.60612352,-0.01425247881,1.739682668e-005,-1.120537864e-008,
2.95152289e-012},
blow={-56730.59239999999,-97.41466299000001},
ahigh={-151673.5473,-34.5137925,19.02867176,-1.242486969e-005,
2.917675103e-009,-3.50598144e-013,1.685355887e-017},
bhigh={-65357.79790000001,-58.94914959000001},
R_s=R_NASA_2002/WCL6.MM);
constant IdealGases.Common.DataRecord WO(
name="WO",
MM=0.1998394,
Hf=2010292.820134568,
H0=46332.76020644578,
Tlimit=1000,
alow={-19337.58411,493.669084,-0.4116148220000001,0.01307976507,-1.689145619e-005,
1.092748066e-008,-2.820593541e-012},
blow={45110.179,30.02592661},
ahigh={1262156.956,-4177.263120000001,9.35828647,-0.00288761222,
8.89393396e-007,-8.955318699999999e-011,2.504359614e-015},
bhigh={73133.8064,-31.4488229},
R_s=R_NASA_2002/WO.MM);
constant IdealGases.Common.DataRecord WOCL4(
name="WOCL4",
MM=0.3416514000000001,
Hf=-1678591.101924359,
H0=65187.43666790184,
Tlimit=1000,
alow={26588.12693,-933.6913239999999,13.21377385,0.01270930811,-1.964716509e-005,
1.405106974e-008,-3.89938214e-012},
blow={-67922.90790000001,-35.94869683},
ahigh={-304902.8285,-353.942586,16.26432703,-0.0001058245461,
2.340548846e-008,-2.685852021e-012,1.245412684e-016},
bhigh={-72725.46739999999,-49.91761253},
R_s=R_NASA_2002/WOCL4.MM);
constant IdealGases.Common.DataRecord WO2(
name="WO2",
MM=0.2158388,
Hf=134645.5966211821,
H0=49642.82603498537,
Tlimit=1000,
alow={3120.918919,241.3883468,-0.3024119184,0.02324333417,-3.37881268e-005,
2.380934019e-008,-6.421592880000001e-012},
blow={1442.005265,29.57655179},
ahigh={-753740.6680000001,3204.64305,0.6701965600000001,0.00448823887,-8.858328459999999e-007,
6.24517175e-011,-9.046613900000001e-016},
bhigh={-17694.2023,34.0572401},
R_s=R_NASA_2002/WO2.MM);
constant IdealGases.Common.DataRecord WO2CL2(
name="WO2CL2",
MM=0.2867448,
Hf=-2341915.180327594,
H0=68018.03206195892,
Tlimit=1000,
alow={430.015448,-243.8547856,7.97630699,0.01715005722,-2.487975176e-005,
1.737644163e-008,-4.7719284e-012},
blow={-82328.124,-7.844771421},
ahigh={-240479.173,-306.8379644,13.22814502,-9.10022071e-005,
2.00658102e-008,-2.296837607e-012,1.062829386e-016},
bhigh={-83674.93059999999,-34.91556626},
R_s=R_NASA_2002/WO2CL2.MM);
constant IdealGases.Common.DataRecord WO3(
name="WO3",
MM=0.2318382,
Hf=-1379087.712896321,
H0=57229.32200129228,
Tlimit=1000,
alow={7262.46146,34.2939109,1.573061955,0.02754971099,-3.99482731e-005,
2.809371537e-008,-7.77754573e-012},
blow={-40017.3327,18.57409963},
ahigh={1732203.64,-6284.719779999999,16.81358864,-0.00347208936,
8.079935799999999e-007,-6.589378720000001e-011,1.142928957e-015},
bhigh={-2473.075565,-74.0747409},
R_s=R_NASA_2002/WO3.MM);
constant IdealGases.Common.DataRecord WO3minus(
name="WO3minus",
MM=0.2318387486,
Hf=-2805725.811271913,
H0=59155.9395606572,
Tlimit=1000,
alow={163099.9684,-1967.609682,12.01970914,0.001681260779,-5.859360060000001e-006,
5.02861633e-009,-1.434012198e-012},
blow={-70092.03989999999,-39.3690104},
ahigh={463783.251,-1347.089334,9.773637559999999,0.001071395459,-3.84240366e-007,
5.7375319e-011,-3.157605982e-015},
bhigh={-72395.1557,-23.91116343},
R_s=R_NASA_2002/WO3minus.MM);
constant IdealGases.Common.DataRecord Xe(
name="Xe",
MM=0.131293,
Hf=0,
H0=47203.03443443291,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={-745.375,6.164454205},
ahigh={4025.22668,-12.09507521,2.514153347,-8.248102080000001e-006,
2.530232618e-009,-3.89233323e-013,2.360439138e-017},
bhigh={-668.5800730000001,6.063710715},
R_s=R_NASA_2002/Xe.MM);
constant IdealGases.Common.DataRecord Xeplus(
name="Xeplus",
MM=0.1312924514,
Hf=8961309.042935578,
H0=47203.23167033196,
Tlimit=1000,
alow={100.292362,-1.218753648,2.506016493,-1.547411334e-005,
2.191372741e-008,-1.623684074e-011,4.929132670000001e-015},
blow={140766.5368,7.516712465},
ahigh={-12416.83887,-150.0654643,2.964678293,-0.000469339666,
1.959138719e-007,-3.037761925e-011,1.637361082e-015},
bhigh={141496.6808,4.565685735},
R_s=R_NASA_2002/Xeplus.MM);
constant IdealGases.Common.DataRecord Zn(
name="Zn",
MM=0.06539,
Hf=1994188.713870623,
H0=94776.38782688484,
Tlimit=1000,
alow={0,0,2.5,0,0,0,0},
blow={14938.05072,5.11886101},
ahigh={-175559.1489,498.413924,1.969386292,0.0002608808787,-5.62719508e-008,
2.723336049e-012,4.266685808e-016},
bhigh={11737.73458,8.961085649999999},
R_s=R_NASA_2002/Zn.MM);
constant IdealGases.Common.DataRecord Znplus(
name="Znplus",
MM=0.06538945139999999,
Hf=15950586.91683717,
H0=94777.18297541796,
Tlimit=1000,
alow={0.000409834494,-4.34358162e-006,2.500000019,-4.389036810000001e-011,
5.5639692e-014,-3.63822826e-017,9.607881994999999e-021},
blow={124697.9918,5.8119955},
ahigh={-343617.946,956.7355239999999,1.511478952,0.000461346796,-8.786800980000001e-008,
7.558567779999999e-013,1.168827311e-015},
bhigh={118532.1933,13.0074267},
R_s=R_NASA_2002/Znplus.MM);
constant IdealGases.Common.DataRecord Zr(
name="Zr",
MM=0.091224,
Hf=6569747.116986759,
H0=74712.91546084364,
Tlimit=1000,
alow={67158.9996,-943.5981740000001,6.35975618,-0.0009790119730000001,-7.60822415e-006,
9.30871743e-009,-3.124675586e-012},
blow={75880.19469999999,-16.65770522},
ahigh={6006771.84,-15669.60605,17.9698235,-0.00676340965,1.733678968e-006,-2.064699786e-010,
9.334092610000001e-015},
bhigh={173463.6249,-105.1117377},
R_s=R_NASA_2002/Zr.MM);
constant IdealGases.Common.DataRecord Zrplus(
name="Zrplus",
MM=0.0912234514,
Hf=13661468.32721131,
H0=81907.57842779889,
Tlimit=1000,
alow={173984.2193,-2224.598466,14.00787829,-0.02378785396,2.641058912e-005,
-1.442565487e-008,3.135982142e-012},
blow={159821.0714,-58.1672881},
ahigh={729813.716,-2017.117556,5.0374983,-0.000550337195,1.023753499e-007,-1.261537793e-011,
7.092401041999999e-016},
bhigh={162088.4945,-9.820640859999999},
R_s=R_NASA_2002/Zrplus.MM);
constant IdealGases.Common.DataRecord Zrminus(
name="Zrminus",
MM=0.09122454860000001,
Hf=6061442.961198715,
H0=84949.69960311757,
Tlimit=1000,
alow={30466.62367,-807.427721,9.21300611,-0.01614342054,1.908653551e-005,-1.138888914e-008,
2.745019116e-012},
blow={69030.3403,-28.62644371},
ahigh={84718.61159999999,317.543934,2.251491246,0.0001018645389,-2.285208242e-008,
2.647293502e-012,-1.235813604e-016},
bhigh={64223.376,10.81261057},
R_s=R_NASA_2002/Zrminus.MM);
constant IdealGases.Common.DataRecord ZrN(
name="ZrN",
MM=0.1052307,
Hf=6779124.342991162,
H0=84223.2352345846,
Tlimit=1000,
alow={22591.09156,-180.2590198,3.130058377,0.00542770928,-8.264614840000001e-006,
5.95843822e-009,-1.670274535e-012},
blow={85788.81490000001,8.470724779999999},
ahigh={-72557.9089,-81.267966,4.5599244,1.29116165e-005,
5.203830769999999e-009,-5.92743667e-013,2.731548854e-017},
bhigh={84686.48390000001,1.493633264},
R_s=R_NASA_2002/ZrN.MM);
constant IdealGases.Common.DataRecord ZrO(
name="ZrO",
MM=0.1072234,
Hf=782690.2336616821,
H0=83658.11940304076,
Tlimit=1000,
alow={-509176.14,8652.77009,-52.9474015,0.1728961761,-0.0002457230895,
1.672135156e-007,-4.423012380000001e-011},
blow={-30951.29818,313.2576719},
ahigh={464809.831,344.231447,4.81577918,-0.000466063314,2.140489079e-007,-2.054364483e-011,
4.08466776e-016},
bhigh={7317.3407,1.502933548},
R_s=R_NASA_2002/ZrO.MM);
constant IdealGases.Common.DataRecord ZrOplus(
name="ZrOplus",
MM=0.1072228514,
Hf=6720713.957808437,
H0=88265.83024446596,
Tlimit=1000,
alow={10329.11549,73.0466122,2.606345299,0.005099300290000001,-6.25033876e-006,
3.79746002e-009,-9.198416899999999e-013},
blow={85332.33779999999,12.67311019},
ahigh={-493716.656,669.990076,4.57535347,-0.00069232379,4.28060094e-007,-7.54766022e-011,
4.41427986e-015},
bhigh={80188.80660000001,2.928943704},
R_s=R_NASA_2002/ZrOplus.MM);
constant IdealGases.Common.DataRecord ZrO2(
name="ZrO2",
MM=0.1232228,
Hf=-2572922.681516732,
H0=97451.63232778349,
Tlimit=1000,
alow={36376.49,-262.0658297,3.69286687,0.01214524156,-1.822445342e-005,
1.299215204e-008,-3.61590011e-012},
blow={-38019.9088,8.290857600000001},
ahigh={2854363.887,-8738.589889999999,16.21315114,-0.004417922830000001,
8.959096920000001e-007,-4.054667109999999e-011,-2.147732083e-015},
bhigh={15275.10023,-74.8199549},
R_s=R_NASA_2002/ZrO2.MM);
end SingleGasesData; |
Low level and utility computation for high accuracy water properties according to the IAPWS/IF97 standard | within Modelica.Media.Water;
package IF97_Utilities
"Low level and utility computation for high accuracy water properties according to the IAPWS/IF97 standard"
extends Modelica.Icons.UtilitiesPackage;
package BaseIF97
"Modelica Physical Property Model: the new industrial formulation IAPWS-IF97"
extends Modelica.Icons.Package;
record IterationData "Constants for iterations internal to some functions"
extends Modelica.Icons.Record;
constant Integer IMAX=50
"Maximum number of iterations for inverse functions";
constant Real DELP=1.0e-6 "Maximum iteration error in pressure, Pa";
constant Real DELS=1.0e-8
"Maximum iteration error in specific entropy, J/{kg.K}";
constant Real DELH=1.0e-8
"Maximum iteration error in specific enthalpy, J/kg";
constant Real DELD=1.0e-8 "Maximum iteration error in density, kg/m^3";
end IterationData;
//===================================================================
// Constant declarations
//===================================================================
record data "Constant IF97 data and region limits"
extends Modelica.Icons.Record;
constant SI.SpecificHeatCapacity RH2O=461.526
"Specific gas constant of water vapour";
constant SI.MolarMass MH2O=0.01801528 "Molar weight of water";
constant SI.Temperature TSTAR1=1386.0
"Normalization temperature for region 1 IF97";
constant SI.Pressure PSTAR1=16.53e6
"Normalization pressure for region 1 IF97";
constant SI.Temperature TSTAR2=540.0
"Normalization temperature for region 2 IF97";
constant SI.Pressure PSTAR2=1.0e6
"Normalization pressure for region 2 IF97";
constant SI.Temperature TSTAR5=1000.0
"Normalization temperature for region 5 IF97";
constant SI.Pressure PSTAR5=1.0e6
"Normalization pressure for region 5 IF97";
constant SI.SpecificEnthalpy HSTAR1=2.5e6
"Normalization specific enthalpy for region 1 IF97";
constant Real IPSTAR=1.0e-6
"Normalization pressure for inverse function in region 2 IF97";
constant Real IHSTAR=5.0e-7
"Normalization specific enthalpy for inverse function in region 2 IF97";
constant SI.Temperature TLIMIT1=623.15
"Temperature limit between regions 1 and 3";
constant SI.Temperature TLIMIT2=1073.15
"Temperature limit between regions 2 and 5";
constant SI.Temperature TLIMIT5=2273.15 "Upper temperature limit of 5";
constant SI.Pressure PLIMIT1=100.0e6
"Upper pressure limit for regions 1, 2 and 3";
constant SI.Pressure PLIMIT4A=16.5292e6
"Pressure limit between regions 1 and 2, important for two-phase (region 4)";
constant SI.Pressure PLIMIT5=10.0e6
"Upper limit of valid pressure in region 5";
constant SI.Pressure PCRIT=22064000.0 "The critical pressure";
constant SI.Temperature TCRIT=647.096 "The critical temperature";
constant SI.Density DCRIT=322.0 "The critical density";
constant SI.SpecificEntropy SCRIT=4412.02148223476
"The calculated specific entropy at the critical point";
constant SI.SpecificEnthalpy HCRIT=2087546.84511715
"The calculated specific enthalpy at the critical point";
constant Real[5] n=array(
0.34805185628969e3,
-0.11671859879975e1,
0.10192970039326e-2,
0.57254459862746e3,
0.13918839778870e2)
"Polynomial coefficients for boundary between regions 2 and 3";
end data;
function getTstar "Get normalization temperature for region 1, 2 or 5"
extends Modelica.Icons.Function;
input Integer region "IF 97 region";
output SI.Temperature Tstar "Normalization temperature";
algorithm
if region == 1 then
Tstar := data.TSTAR1;
elseif region == 2 then
Tstar := data.TSTAR2;
else
Tstar := data.TSTAR5;
end if;
end getTstar;
function getpstar "Get normalization pressure for region 1, 2 or 5"
extends Modelica.Icons.Function;
input Integer region "IF 97 region";
output SI.Pressure pstar "Normalization pressure";
algorithm
if region == 1 then
pstar := data.PSTAR1;
elseif region == 2 then
pstar := data.PSTAR2;
else
pstar := data.PSTAR5;
end if;
end getpstar;
record critical "Critical point data"
extends Modelica.Icons.Record;
constant SI.Pressure PCRIT=22064000.0 "The critical pressure";
constant SI.Temperature TCRIT=647.096 "The critical temperature";
constant SI.Density DCRIT=322.0 "The critical density";
constant SI.SpecificEnthalpy HCRIT=2087546.84511715
"The calculated specific enthalpy at the critical point";
constant SI.SpecificEntropy SCRIT=4412.02148223476
"The calculated specific entropy at the critical point";
end critical;
record triple "Triple point data"
extends Modelica.Icons.Record;
constant SI.Temperature Ttriple=273.16 "The triple point temperature";
constant SI.Pressure ptriple=611.657 "The triple point pressure";
constant SI.Density dltriple=999.792520031617642
"The triple point liquid density";
constant SI.Density dvtriple=0.485457572477861372e-2
"The triple point vapour density";
end triple;
package Regions
"Functions to find the current region for given pairs of input variables"
extends Modelica.Icons.FunctionsPackage;
//===================================================================
// "Public" functions
//===================================================================
function boundary23ofT
"Boundary function for region boundary between regions 2 and 3 (input temperature)"
extends Modelica.Icons.Function;
input SI.Temperature t "Temperature (K)";
output SI.Pressure p "Pressure";
protected
constant Real[5] n=data.n;
algorithm
p := 1.0e6*(n[1] + t*(n[2] + t*n[3]));
end boundary23ofT;
function boundary23ofp
"Boundary function for region boundary between regions 2 and 3 (input pressure)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.Temperature t "Temperature (K)";
protected
constant Real[5] n=data.n;
Real pi "Dimensionless pressure";
algorithm
pi := p/1.0e6;
assert(p > triple.ptriple,
"IF97 medium function boundary23ofp called with too low pressure\n"
+ "p = " + String(p) + " Pa <= " + String(triple.ptriple) +
" Pa (triple point pressure)");
t := n[4] + sqrt((pi - n[5])/n[3]);
end boundary23ofp;
function hlowerofp5
"Explicit lower specific enthalpy limit of region 5 as function of pressure"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.SpecificEnthalpy h "Specific enthalpy";
protected
Real pi "Dimensionless pressure";
algorithm
pi := p/data.PSTAR5;
assert(p > triple.ptriple,
"IF97 medium function hlowerofp5 called with too low pressure\n" +
"p = " + String(p) + " Pa <= " + String(triple.ptriple) +
" Pa (triple point pressure)");
h := 461526.*(9.01505286876203 + pi*(-0.00979043490246092 + (-0.0000203245575263501
+ 3.36540214679088e-7*pi)*pi));
end hlowerofp5;
function hupperofp5
"Explicit upper specific enthalpy limit of region 5 as function of pressure"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.SpecificEnthalpy h "Specific enthalpy";
protected
Real pi "Dimensionless pressure";
algorithm
pi := p/data.PSTAR5;
assert(p > triple.ptriple,
"IF97 medium function hupperofp5 called with too low pressure\n" +
"p = " + String(p) + " Pa <= " + String(triple.ptriple) +
" Pa (triple point pressure)");
h := 461526.*(15.9838891400332 + pi*(-0.000489898813722568 + (-5.01510211858761e-8
+ 7.5006972718273e-8*pi)*pi));
end hupperofp5;
function slowerofp5
"Explicit lower specific entropy limit of region 5 as function of pressure"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.SpecificEntropy s "Specific entropy";
protected
Real pi "Dimensionless pressure";
algorithm
pi := p/data.PSTAR5;
assert(p > triple.ptriple,
"IF97 medium function slowerofp5 called with too low pressure\n" +
"p = " + String(p) + " Pa <= " + String(triple.ptriple) +
" Pa (triple point pressure)");
s := 461.526*(18.4296209980112 + pi*(-0.00730911805860036 + (-0.0000168348072093888
+ 2.09066899426354e-7*pi)*pi) - Modelica.Math.log(pi));
end slowerofp5;
function supperofp5
"Explicit upper specific entropy limit of region 5 as function of pressure"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.SpecificEntropy s "Specific entropy";
protected
Real pi "Dimensionless pressure";
algorithm
pi := p/data.PSTAR5;
assert(p > triple.ptriple,
"IF97 medium function supperofp5 called with too low pressure\n" +
"p = " + String(p) + " Pa <= " + String(triple.ptriple) +
" Pa (triple point pressure)");
s := 461.526*(22.7281531474243 + pi*(-0.000656650220627603 + (-1.96109739782049e-8
+ 2.19979537113031e-8*pi)*pi) - Modelica.Math.log(pi));
end supperofp5;
function hlowerofp1
"Explicit lower specific enthalpy limit of region 1 as function of pressure"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.SpecificEnthalpy h "Specific enthalpy";
protected
Real pi1 "Dimensionless pressure";
Real[3] o "Vector of auxiliary variables";
algorithm
pi1 := 7.1 - p/data.PSTAR1;
assert(p > triple.ptriple,
"IF97 medium function hlowerofp1 called with too low pressure\n" +
"p = " + String(p) + " Pa <= " + String(triple.ptriple) +
" Pa (triple point pressure)");
o[1] := pi1*pi1;
o[2] := o[1]*o[1];
o[3] := o[2]*o[2];
h := 639675.036*(0.173379420894777 + pi1*(-0.022914084306349 + pi1*(-0.00017146768241932
+ pi1*(-4.18695814670391e-6 + pi1*(-2.41630417490008e-7 + pi1*(
1.73545618580828e-11 + o[1]*pi1*(8.43755552264362e-14 + o[2]*o[3]*pi1
*(5.35429206228374e-35 + o[1]*(-8.12140581014818e-38 + o[1]*o[2]*(-1.43870236842915e-44
+ pi1*(1.73894459122923e-45 + (-7.06381628462585e-47 +
9.64504638626269e-49*pi1)*pi1)))))))))));
end hlowerofp1;
function hupperofp1
"Explicit upper specific enthalpy limit of region 1 as function of pressure (meets region 4 saturation pressure curve at 623.15 K)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.SpecificEnthalpy h "Specific enthalpy";
protected
Real pi1 "Dimensionless pressure";
Real[3] o "Vector of auxiliary variables";
algorithm
pi1 := 7.1 - p/data.PSTAR1;
assert(p > triple.ptriple,
"IF97 medium function hupperofp1 called with too low pressure\n" +
"p = " + String(p) + " Pa <= " + String(triple.ptriple) +
" Pa (triple point pressure)");
o[1] := pi1*pi1;
o[2] := o[1]*o[1];
o[3] := o[2]*o[2];
h := 639675.036*(2.42896927729349 + pi1*(-0.00141131225285294 + pi1*(
0.00143759406818289 + pi1*(0.000125338925082983 + pi1*(
0.0000123617764767172 + pi1*(3.17834967400818e-6 + o[1]*pi1*(
1.46754947271665e-8 + o[2]*o[3]*pi1*(1.86779322717506e-17 + o[1]*(-4.18568363667416e-19
+ o[1]*o[2]*(-9.19148577641497e-22 + pi1*(4.27026404402408e-22 + (-6.66749357417962e-23
+ 3.49930466305574e-24*pi1)*pi1)))))))))));
end hupperofp1;
function slowerofp1
"Explicit lower specific entropy limit of region 1 as function of pressure"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.SpecificEntropy s "Specific entropy";
protected
Real pi1 "Dimensionless pressure";
Real[3] o "Vector of auxiliary variables";
algorithm
pi1 := 7.1 - p/data.PSTAR1;
assert(p > triple.ptriple,
"IF97 medium function slowerofp1 called with too low pressure\n" +
"p = " + String(p) + " Pa <= " + String(triple.ptriple) +
" Pa (triple point pressure)");
o[1] := pi1*pi1;
o[2] := o[1]*o[1];
o[3] := o[2]*o[2];
s := 461.526*(-0.0268080988194267 + pi1*(0.00834795890110168 + pi1*(-0.000486470924668433
+ pi1*(-0.0000154902045012264 + pi1*(-1.07631751351358e-6 + pi1*(
9.64159058957115e-11 + o[1]*pi1*(4.81921078863103e-13 + o[2]*o[3]*pi1
*(2.7879623870968e-34 + o[1]*(-4.22182957646226e-37 + o[1]*o[2]*(-7.44601427465175e-44
+ pi1*(8.99540001407168e-45 + (-3.65230274480299e-46 +
4.98464639687285e-48*pi1)*pi1)))))))))));
end slowerofp1;
function supperofp1
"Explicit upper specific entropy limit of region 1 as function of pressure (meets region 4 saturation pressure curve at 623.15 K)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.SpecificEntropy s "Specific entropy";
protected
Real pi1 "Dimensionless pressure";
Real[3] o "Vector of auxiliary variables";
algorithm
pi1 := 7.1 - p/data.PSTAR1;
assert(p > triple.ptriple,
"IF97 medium function supperofp1 called with too low pressure\n" +
"p = " + String(p) + " Pa <= " + String(triple.ptriple) +
" Pa (triple point pressure)");
o[1] := pi1*pi1;
o[2] := o[1]*o[1];
o[3] := o[2]*o[2];
s := 461.526*(7.28316418503422 + pi1*(0.070602197808399 + pi1*(
0.0039229343647356 + pi1*(0.000313009170788845 + pi1*(
0.0000303619398631619 + pi1*(7.46739440045781e-6 + o[1]*pi1*(
3.40562176858676e-8 + o[2]*o[3]*pi1*(4.21886233340801e-17 + o[1]*(-9.44504571473549e-19
+ o[1]*o[2]*(-2.06859611434475e-21 + pi1*(9.60758422254987e-22 + (-1.49967810652241e-22
+ 7.86863124555783e-24*pi1)*pi1)))))))))));
end supperofp1;
function hlowerofp2
"Explicit lower specific enthalpy limit of region 2 as function of pressure (meets region 4 saturation pressure curve at 623.15 K)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.SpecificEnthalpy h "Specific enthalpy";
protected
Real pi "Dimensionless pressure";
Real q1 "Auxiliary variable";
Real q2 "Auxiliary variable";
Real[18] o "Vector of auxiliary variables";
algorithm
pi := p/data.PSTAR2;
assert(p > triple.ptriple,
"IF97 medium function hlowerofp2 called with too low pressure\n" +
"p = " + String(p) + " Pa <= " + String(triple.ptriple) +
" Pa (triple point pressure)");
q1 := 572.54459862746 + 31.3220101646784*sqrt(-13.91883977887 + pi);
q2 := -0.5 + 540./q1;
o[1] := q1*q1;
o[2] := o[1]*o[1];
o[3] := o[2]*o[2];
o[4] := pi*pi;
o[5] := o[4]*o[4];
o[6] := q2*q2;
o[7] := o[6]*o[6];
o[8] := o[6]*o[7];
o[9] := o[5]*o[5];
o[10] := o[7]*o[7];
o[11] := o[9]*o[9];
o[12] := o[10]*o[10];
o[13] := o[12]*o[12];
o[14] := o[7]*q2;
o[15] := o[6]*q2;
o[16] := o[10]*o[6];
o[17] := o[13]*o[6];
o[18] := o[13]*o[6]*q2;
h := (4.63697573303507e9 + 3.74686560065793*o[2] + 3.57966647812489e-6*
o[1]*o[2] + 2.81881548488163e-13*o[3] - 7.64652332452145e7*q1 -
0.00450789338787835*o[2]*q1 - 1.55131504410292e-9*o[1]*o[2]*q1 + o[1]
*(2.51383707870341e6 - 4.78198198764471e6*o[10]*o[11]*o[12]*o[13]*o[4]
+ 49.9651389369988*o[11]*o[12]*o[13]*o[4]*o[5]*o[7] + o[15]*o[4]*(
1.03746636552761e-13 - 0.00349547959376899*o[16] -
2.55074501962569e-7*o[8])*o[9] + (-242662.235426958*o[10]*o[12] -
3.46022402653609*o[16])*o[4]*o[5]*pi + o[4]*(0.109336249381227 -
2248.08924686956*o[14] - 354742.725841972*o[17] - 24.1331193696374*o[
6])*pi - 3.09081828396912e-19*o[11]*o[12]*o[5]*o[7]*pi -
1.24107527851371e-8*o[11]*o[13]*o[4]*o[5]*o[6]*o[7]*pi +
3.99891272904219*o[5]*o[8]*pi + 0.0641817365250892*o[10]*o[7]*o[9]*pi
+ pi*(-4444.87643334512 - 75253.6156722047*o[14] - 43051.9020511789*
o[6] - 22926.6247146068*q2) + o[4]*(-8.23252840892034 -
3927.0508365636*o[15] - 239.325789467604*o[18] - 76407.3727417716*o[8]
- 94.4508644545118*q2) + 0.360567666582363*o[5]*(-0.0161221195808321
+ q2)*(0.0338039844460968 + q2) + o[11]*(-0.000584580992538624*o[10]
*o[12]*o[7] + 1.33248030241755e6*o[12]*o[13]*q2) + o[9]*(-7.38502736990986e7
*o[18] + 0.0000224425477627799*o[6]*o[7]*q2) + o[4]*o[5]*(-2.08438767026518e8
*o[17] - 0.0000124971648677697*o[6] - 8442.30378348203*o[10]*o[6]*o[7]
*q2) + o[11]*o[9]*(4.73594929247646e-22*o[10]*o[12]*q2 -
13.6411358215175*o[10]*o[12]*o[13]*q2 + 5.52427169406836e-10*o[13]*o[
6]*o[7]*q2) + o[11]*o[5]*(2.67174673301715e-6*o[17] +
4.44545133805865e-18*o[12]*o[6]*q2 - 50.2465185106411*o[10]*o[13]*o[6]
*o[7]*q2)))/o[1];
end hlowerofp2;
function hupperofp2
"Explicit upper specific enthalpy limit of region 2 as function of pressure"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.SpecificEnthalpy h "Specific enthalpy";
protected
Real pi "Dimensionless pressure";
Real[2] o "Vector of auxiliary variables";
algorithm
pi := p/data.PSTAR2;
assert(p > triple.ptriple,
"IF97 medium function hupperofp2 called with too low pressure\n" +
"p = " + String(p) + " Pa <= " + String(triple.ptriple) +
" Pa (triple point pressure)");
o[1] := pi*pi;
o[2] := o[1]*o[1]*o[1];
h := 4.16066337647071e6 + pi*(-4518.48617188327 + pi*(-8.53409968320258
+ pi*(0.109090430596056 + pi*(-0.000172486052272327 + pi*(
4.2261295097284e-15 + pi*(-1.27295130636232e-10 + pi*(-3.79407294691742e-25
+ pi*(7.56960433802525e-23 + pi*(7.16825117265975e-32 + pi*(
3.37267475986401e-21 + (-7.5656940729795e-74 + o[1]*(-8.00969737237617e-134
+ (1.6746290980312e-65 + pi*(-3.71600586812966e-69 + pi*(
8.06630589170884e-129 + (-1.76117969553159e-103 +
1.88543121025106e-84*pi)*pi)))*o[1]))*o[2]))))))))));
end hupperofp2;
function slowerofp2
"Explicit lower specific entropy limit of region 2 as function of pressure (meets region 4 saturation pressure curve at 623.15 K)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.SpecificEntropy s "Specific entropy";
protected
Real pi "Dimensionless pressure";
Real q1 "Auxiliary variable";
Real q2 "Auxiliary variable";
Real[40] o "Vector of auxiliary variables";
algorithm
pi := p/data.PSTAR2;
assert(p > triple.ptriple,
"IF97 medium function slowerofp2 called with too low pressure\n" +
"p = " + String(p) + " Pa <= " + String(triple.ptriple) +
" Pa (triple point pressure)");
q1 := 572.54459862746 + 31.3220101646784*sqrt(-13.91883977887 + pi);
q2 := -0.5 + 540.0/q1;
o[1] := pi*pi;
o[2] := o[1]*pi;
o[3] := o[1]*o[1];
o[4] := o[1]*o[3]*pi;
o[5] := q1*q1;
o[6] := o[5]*q1;
o[7] := 1/o[5];
o[8] := 1/q1;
o[9] := o[5]*o[5];
o[10] := o[9]*q1;
o[11] := q2*q2;
o[12] := o[11]*q2;
o[13] := o[1]*o[3];
o[14] := o[11]*o[11];
o[15] := o[3]*o[3];
o[16] := o[1]*o[15];
o[17] := o[11]*o[14];
o[18] := o[11]*o[14]*q2;
o[19] := o[3]*pi;
o[20] := o[14]*o[14];
o[21] := o[11]*o[20];
o[22] := o[15]*pi;
o[23] := o[14]*o[20]*q2;
o[24] := o[20]*o[20];
o[25] := o[15]*o[15];
o[26] := o[25]*o[3];
o[27] := o[14]*o[24];
o[28] := o[25]*o[3]*pi;
o[29] := o[20]*o[24]*q2;
o[30] := o[15]*o[25];
o[31] := o[24]*o[24];
o[32] := o[11]*o[31]*q2;
o[33] := o[14]*o[31];
o[34] := o[1]*o[25]*o[3]*pi;
o[35] := o[11]*o[14]*o[31]*q2;
o[36] := o[1]*o[25]*o[3];
o[37] := o[1]*o[25];
o[38] := o[20]*o[24]*o[31]*q2;
o[39] := o[14]*q2;
o[40] := o[11]*o[31];
s := 461.526*(9.692768600217 + 1.22151969114703e-16*o[10] +
0.00018948987516315*o[1]*o[11] + 1.6714766451061e-11*o[12]*o[13] +
0.0039392777243355*o[1]*o[14] - 1.0406965210174e-19*o[14]*o[16] +
0.043797295650573*o[1]*o[18] - 2.2922076337661e-6*o[18]*o[19] -
2.0481737692309e-8*o[2] + 0.00003227767723857*o[12]*o[2] +
0.0015033924542148*o[17]*o[2] - 1.1256211360459e-11*o[15]*o[20] +
1.0018179379511e-9*o[11]*o[14]*o[16]*o[20] + 1.0234747095929e-13*o[16]
*o[21] - 1.9809712802088e-8*o[22]*o[23] + 0.0021171472321355*o[13]*o[
24] - 8.9185845355421e-25*o[26]*o[27] - 1.2790717852285e-8*o[11]*o[3]
- 4.8225372718507e-7*o[12]*o[3] - 7.3087610595061e-29*o[11]*o[20]*o[
24]*o[30] - 0.10693031879409*o[11]*o[24]*o[25]*o[31] +
4.2002467698208e-6*o[24]*o[26]*o[31] - 5.5414715350778e-17*o[20]*o[30]
*o[31] + 9.436970724121e-7*o[11]*o[20]*o[24]*o[30]*o[31] +
23.895741934104*o[13]*o[32] + 0.040668253562649*o[2]*o[32] -
3.0629316876232e-13*o[26]*o[32] + 0.000026674547914087*o[1]*o[33] +
8.2311340897998*o[15]*o[33] + 1.2768608934681e-15*o[34]*o[35] +
0.33662250574171*o[37]*o[38] + 5.905956432427e-18*o[4] +
0.038946842435739*o[29]*o[4] - 4.88368302964335e-6*o[5] -
3.34901734177133e6/o[6] + 2.58538448402683e-9*o[6] + 82839.5726841115
*o[7] - 5446.7940672972*o[8] - 8.40318337484194e-13*o[9] +
0.0017731742473213*pi + 0.045996013696365*o[11]*pi +
0.057581259083432*o[12]*pi + 0.05032527872793*o[17]*pi + o[8]*pi*(
9.63082563787332 - 0.008917431146179*q1) + 0.00811842799898148*q1 +
0.000033032641670203*o[1]*q2 - 4.3870667284435e-7*o[2]*q2 +
8.0882908646985e-11*o[14]*o[20]*o[24]*o[25]*q2 + 5.9056029685639e-26*
o[14]*o[24]*o[28]*q2 + 7.8847309559367e-10*o[3]*q2 -
3.7826947613457e-6*o[14]*o[24]*o[31]*o[36]*q2 + 1.2621808899101e-6*o[
11]*o[20]*o[4]*q2 + 540.*o[8]*(10.08665568018 - 0.000033032641670203*
o[1] - 6.2245802776607e-15*o[10] - 0.015757110897342*o[1]*o[12] -
5.0144299353183e-11*o[11]*o[13] + 4.1627860840696e-19*o[12]*o[16] -
0.306581069554011*o[1]*o[17] + 9.0049690883672e-11*o[15]*o[18] +
0.0000160454534363627*o[17]*o[19] + 4.3870667284435e-7*o[2] -
0.00009683303171571*o[11]*o[2] + 2.57526266427144e-7*o[14]*o[20]*o[22]
- 1.40254511313154e-8*o[16]*o[23] - 2.34560435076256e-9*o[14]*o[20]*
o[24]*o[25] - 1.24017662339842e-24*o[27]*o[28] - 7.8847309559367e-10*
o[3] + 1.44676118155521e-6*o[11]*o[3] + 1.90027787547159e-27*o[29]*o[
30] - 0.000960283724907132*o[1]*o[32] - 296.320827232793*o[15]*o[32]
- 4.97975748452559e-14*o[11]*o[14]*o[31]*o[34] +
2.21658861403112e-15*o[30]*o[35] + 0.000200482822351322*o[14]*o[24]*o[
31]*o[36] - 19.1874828272775*o[20]*o[24]*o[31]*o[37] -
0.0000547344301999018*o[30]*o[38] - 0.0090203547252888*o[2]*o[39] -
0.0000138839897890111*o[21]*o[4] - 0.973671060893475*o[20]*o[24]*o[4]
- 836.35096769364*o[13]*o[40] - 1.42338887469272*o[2]*o[40] +
1.07202609066812e-11*o[26]*o[40] + 0.0000150341259240398*o[5] -
1.8087714924605e-8*o[6] + 18605.6518987296*o[7] - 306.813232163376*o[
8] + 1.43632471334824e-11*o[9] + 1.13103675106207e-18*o[5]*o[9] -
0.017834862292358*pi - 0.172743777250296*o[11]*pi - 0.30195167236758*
o[39]*pi + o[8]*pi*(-49.6756947920742 + 0.045996013696365*q1) -
0.0003789797503263*o[1]*q2 - 0.033874355714168*o[11]*o[13]*o[14]*o[20]
*q2 - 1.0234747095929e-12*o[16]*o[20]*q2 + 1.78371690710842e-23*o[11]
*o[24]*o[26]*q2 + 2.558143570457e-8*o[3]*q2 + 5.3465159397045*o[24]*o[
25]*o[31]*q2 - 0.000201611844951398*o[11]*o[14]*o[20]*o[26]*o[31]*q2)
- Modelica.Math.log(pi));
end slowerofp2;
function supperofp2
"Explicit upper specific entropy limit of region 2 as function of pressure"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.SpecificEntropy s "Specific entropy";
protected
Real pi "Dimensionless pressure";
Real[2] o "Vector of auxiliary variables";
algorithm
pi := p/data.PSTAR2;
assert(p > triple.ptriple,
"IF97 medium function supperofp2 called with too low pressure\n" +
"p = " + String(p) + " Pa <= " + String(triple.ptriple) +
" Pa (triple point pressure)");
o[1] := pi*pi;
o[2] := o[1]*o[1]*o[1];
s := 8505.73409708683 - 461.526*Modelica.Math.log(pi) + pi*(-3.36563543302584
+ pi*(-0.00790283552165338 + pi*(0.0000915558349202221 + pi*(-1.59634706513e-7
+ pi*(3.93449217595397e-18 + pi*(-1.18367426347994e-13 + pi*(
2.72575244843195e-15 + pi*(7.04803892603536e-26 + pi*(
6.67637687381772e-35 + pi*(3.1377970315132e-24 + (-7.04844558482265e-77
+ o[1]*(-7.46289531275314e-137 + (1.55998511254305e-68 + pi*(-3.46166288915497e-72
+ pi*(7.51557618628583e-132 + (-1.64086406733212e-106 +
1.75648443097063e-87*pi)*pi)))*o[1]))*o[2]*o[2]))))))))));
end supperofp2;
function d1n "Density in region 1 as function of p and T"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature (K)";
output SI.Density d "Density";
protected
Real pi "Dimensionless pressure";
Real pi1 "Dimensionless pressure";
Real tau "Dimensionless temperature";
Real tau1 "Dimensionless temperature";
Real gpi "Dimensionless Gibbs-derivative w.r.t. pi";
Real[11] o "Auxiliary variables";
algorithm
pi := p/data.PSTAR1;
tau := data.TSTAR1/T;
pi1 := 7.1 - pi;
tau1 := tau - 1.222;
o[1] := tau1*tau1;
o[2] := o[1]*o[1];
o[3] := o[2]*o[2];
o[4] := o[1]*o[2];
o[5] := o[1]*tau1;
o[6] := o[2]*tau1;
o[7] := pi1*pi1;
o[8] := o[7]*o[7];
o[9] := o[8]*o[8];
o[10] := o[3]*o[3];
o[11] := o[10]*o[10];
gpi := pi1*(pi1*((0.000095038934535162 + o[2]*(8.4812393955936e-6 +
2.55615384360309e-9*o[4]))/o[2] + pi1*((8.9701127632e-6 + (
2.60684891582404e-6 + 5.7366919751696e-13*o[2]*o[3])*o[5])/o[6] + pi1
*(2.02584984300585e-6/o[3] + o[7]*pi1*(o[8]*o[9]*pi1*(o[7]*(o[7]*o[8]
*(-7.63737668221055e-22/(o[1]*o[11]*o[2]) + pi1*(pi1*(-5.65070932023524e-23
/(o[11]*o[3]) + (2.99318679335866e-24*pi1)/(o[11]*o[3]*tau1)) +
3.5842867920213e-22/(o[1]*o[11]*o[2]*tau1))) - 3.33001080055983e-19/(
o[1]*o[10]*o[2]*o[3]*tau1)) + 1.44400475720615e-17/(o[10]*o[2]*o[3]*
tau1)) + (1.01874413933128e-8 + 1.39398969845072e-9*o[6])/(o[1]*o[3]*
tau1))))) + (0.00094368642146534 + o[5]*(0.00060003561586052 + (-0.000095322787813974
+ o[1]*(8.8283690661692e-6 + 1.45389992595188e-15*o[1]*o[2]*o[3]))*
tau1))/o[5]) + (-0.00028319080123804 + o[1]*(0.00060706301565874 + o[
4]*(0.018990068218419 + tau1*(0.032529748770505 + (0.021841717175414
+ 0.00005283835796993*o[1])*tau1))))/(o[3]*tau1);
d := p/(data.RH2O*T*pi*gpi);
end d1n;
function d2n "Density in region 2 as function of p and T"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature (K)";
output SI.Density d "Density";
protected
Real pi "Dimensionless pressure";
Real tau "Dimensionless temperature";
Real tau2 "Dimensionless temperature";
Real gpi "Dimensionless Gibbs-derivative w.r.t. pi";
Real[12] o "Auxiliary variables";
algorithm
pi := p/data.PSTAR2;
tau := data.TSTAR2/T;
tau2 := tau - 0.5;
o[1] := tau2*tau2;
o[2] := o[1]*tau2;
o[3] := o[1]*o[1];
o[4] := o[3]*o[3];
o[5] := o[4]*o[4];
o[6] := o[3]*o[4]*o[5]*tau2;
o[7] := o[3]*o[4]*tau2;
o[8] := o[1]*o[3]*o[4];
o[9] := pi*pi;
o[10] := o[9]*o[9];
o[11] := o[3]*o[5]*tau2;
o[12] := o[5]*o[5];
gpi := (1. + pi*(-0.0017731742473213 + tau2*(-0.017834862292358 + tau2*
(-0.045996013696365 + (-0.057581259083432 - 0.05032527872793*o[2])*
tau2)) + pi*(tau2*(-0.000066065283340406 + (-0.0003789797503263 + o[1]
*(-0.007878555448671 + o[2]*(-0.087594591301146 -
0.000053349095828174*o[6])))*tau2) + pi*(6.1445213076927e-8 + (
1.31612001853305e-6 + o[1]*(-0.00009683303171571 + o[2]*(-0.0045101773626444
- 0.122004760687947*o[6])))*tau2 + pi*(tau2*(-3.15389238237468e-9 +
(5.116287140914e-8 + 1.92901490874028e-6*tau2)*tau2) + pi*(
0.0000114610381688305*o[1]*o[3]*tau2 + pi*(o[2]*(-1.00288598706366e-10
+ o[7]*(-0.012702883392813 - 143.374451604624*o[1]*o[5]*tau2)) + pi*
(-4.1341695026989e-17 + o[1]*o[4]*(-8.8352662293707e-6 -
0.272627897050173*o[8])*tau2 + pi*(o[4]*(9.0049690883672e-11 -
65.8490727183984*o[3]*o[4]*o[5]) + pi*(1.78287415218792e-7*o[7] + pi*
(o[3]*(1.0406965210174e-18 + o[1]*(-1.0234747095929e-12 -
1.0018179379511e-8*o[3])*o[3]) + o[10]*o[9]*((-1.29412653835176e-9 +
1.71088510070544*o[11])*o[6] + o[9]*(-6.05920510335078*o[12]*o[4]*o[5]
*tau2 + o[9]*(o[3]*o[5]*(1.78371690710842e-23 + o[1]*o[3]*o[4]*(
6.1258633752464e-12 - 0.000084004935396416*o[7])*tau2) + pi*(-1.24017662339842e-24
*o[11] + pi*(0.0000832192847496054*o[12]*o[3]*o[5]*tau2 + pi*(o[1]*o[
4]*o[5]*(1.75410265428146e-27 + (1.32995316841867e-15 -
0.0000226487297378904*o[1]*o[5])*o[8])*pi - 2.93678005497663e-14*o[1]
*o[12]*o[3]*tau2)))))))))))))))))/pi;
d := p/(data.RH2O*T*pi*gpi);
end d2n;
function dhot1ofp "Density at upper temperature limit of region 1"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.Density d "Density";
protected
Real pi "Dimensionless pressure";
Real pi1 "Dimensionless pressure";
Real[4] o "Auxiliary variables";
algorithm
pi := p/data.PSTAR1;
pi1 := 7.1 - pi;
o[1] := pi1*pi1;
o[2] := o[1]*o[1];
o[3] := o[2]*o[2];
o[4] := o[3]*o[3];
d := 57.4756752485113/(0.0737412153522555 + 0.000102697173772229*o[1]
+ 1.99080616601101e-6*o[2] + 1.35549330686006e-17*o[2]*o[4] -
3.11228834832975e-19*o[1]*o[2]*o[4] - 7.02987180039442e-22*o[2]*o[3]*
o[4] - 5.17859076694812e-23*o[1]*o[2]*o[3]*o[4] + 0.00145092247736023
*pi1 + 0.0000114683182476084*o[1]*pi1 + 1.13217858826367e-8*o[1]*o[2]
*pi1 + 3.29199117056433e-22*o[2]*o[3]*o[4]*pi1 + 2.73712834080283e-24
*o[1]*o[2]*o[3]*o[4]*pi1);
end dhot1ofp;
function dupper1ofT "Density at upper pressure limit of region 1"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature (K)";
output SI.Density d "Density";
protected
Real tau "Dimensionless temperature";
Real[4] o "Auxiliary variables";
algorithm
tau := 1386.0/T;
o[1] := tau*tau;
o[2] := o[1]*o[1];
o[3] := o[2]*o[2];
o[4] := o[3]*o[3];
d := 57.4756752485113/(2.24144616859917 + 40.9288231166229*o[1] +
106.47246463213*o[2] + 88.4481480270751*o[1]*o[2] + 31.3207272417546*
o[3] + 5.47811738891798*o[1]*o[3] + 0.515626225030717*o[2]*o[3] +
0.0274905057899089*o[1]*o[2]*o[3] + 0.000853742979250503*o[4] +
0.0000155932210492199*o[1]*o[4] + 1.6621051480279e-7*o[2]*o[4] +
1.00606771839976e-9*o[1]*o[2]*o[4] + 3.27598951831994e-12*o[3]*o[4]
+ 5.20162317530099e-15*o[1]*o[3]*o[4] + 3.33501889800275e-18*o[2]*o[
3]*o[4] + 5.50656040141221e-22*o[1]*o[2]*o[3]*o[4] - 13.5354267762204
*tau - 78.3629702507642*o[1]*tau - 109.374479648652*o[2]*tau -
57.9035658513312*o[1]*o[2]*tau - 14.215347150565*o[3]*tau -
1.80906759985501*o[1]*o[3]*tau - 0.127542214693871*o[2]*o[3]*tau -
0.0051779458313163*o[1]*o[2]*o[3]*tau - 0.000123304142684848*o[4]*tau
- 1.72405791469972e-6*o[1]*o[4]*tau - 1.39155695911655e-8*o[2]*o[4]*
tau - 6.23333356847138e-11*o[1]*o[2]*o[4]*tau - 1.44056015732082e-13*
o[3]*o[4]*tau - 1.50201626932938e-16*o[1]*o[3]*o[4]*tau -
5.34588682252967e-20*o[2]*o[3]*o[4]*tau - 2.73712834080283e-24*o[1]*o[
2]*o[3]*o[4]*tau);
end dupper1ofT;
function hl_p_R4b
"Explicit approximation of liquid specific enthalpy on the boundary between regions 4 and 3"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.SpecificEnthalpy h "Specific enthalpy";
protected
Real x "Auxiliary variable";
algorithm
// documentation of accuracy in notebook ~hubertus/props/IAPWS/R3Approx.nb
// boundary between region IVa and III
x := Modelica.Math.acos(p/data.PCRIT);
h := (1 + x*(-0.4945586958175176 + x*(1.346800016564904 + x*(-3.889388153209752
+ x*(6.679385472887931 + x*(-6.75820241066552 + x*(3.558919744656498
+ (-0.7179818554978939 - 0.0001152032945617821*x)*x)))))))*data.HCRIT;
end hl_p_R4b;
function hv_p_R4b
"Explicit approximation of vapour specific enthalpy on the boundary between regions 4 and 3"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.SpecificEnthalpy h "Specific enthalpy";
protected
Real x "Auxiliary variable";
algorithm
// boundary between region IVa and III
x := Modelica.Math.acos(p/data.PCRIT);
h := (1 + x*(0.4880153718655694 + x*(0.2079670746250689 + x*(-6.084122698421623
+ x*(25.08887602293532 + x*(-48.38215180269516 + x*(
45.66489164833212 + (-16.98555442961553 + 0.0006616936460057691*x)*x)))))))
*data.HCRIT;
end hv_p_R4b;
function sl_p_R4b
"Explicit approximation of liquid specific entropy on the boundary between regions 4 and 3"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.SpecificEntropy s "Specific entropy";
protected
Real x "Auxiliary variable";
algorithm
// boundary between region IVa and III
x := Modelica.Math.acos(p/data.PCRIT);
s := (1 + x*(-0.36160692245648063 + x*(0.9962778630486647 + x*(-2.8595548144171103
+ x*(4.906301159555333 + x*(-4.974092309614206 + x*(
2.6249651699204457 + (-0.5319954375299023 - 0.00008064497431880644*x)
*x)))))))*data.SCRIT;
end sl_p_R4b;
function sv_p_R4b
"Explicit approximation of vapour specific entropy on the boundary between regions 4 and 3"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.SpecificEntropy s "Specific entropy";
protected
Real x "Auxiliary variable";
algorithm
// documentation of accuracy in notebook ~hubertus/props/IAPWS/R3Approx.nb
// boundary between region IVa and III
x := Modelica.Math.acos(p/data.PCRIT);
s := (1 + x*(0.35682641826674344 + x*(0.1642457027815487 + x*(-4.425350377422446
+ x*(18.324477859983133 + x*(-35.338631625948665 + x*(
33.36181025816282 + (-12.408711490585757 + 0.0004810049834109226*x)*x)))))))
*data.SCRIT;
end sv_p_R4b;
function rhol_p_R4b
"Explicit approximation of liquid density on the boundary between regions 4 and 3"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.Density dl "Liquid density";
protected
Real x "Auxiliary variable";
algorithm
if (p < data.PCRIT) then
x := Modelica.Math.acos(p/data.PCRIT);
dl := (1 + x*(1.903224079094824 + x*(-2.5314861802401123 + x*(-8.191449323843552
+ x*(94.34196116778385 + x*(-369.3676833623383 + x*(
796.6627910598293 + x*(-994.5385383600702 + x*(673.2581177021598 +
(-191.43077336405156 + 0.00052536560808895*x)*x)))))))))*data.DCRIT;
else
dl := data.DCRIT;
end if;
end rhol_p_R4b;
function rhov_p_R4b
"Explicit approximation of vapour density on the boundary between regions 4 and 2"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.Density dv "Vapour density";
protected
Real x "Auxiliary variable";
algorithm
if (p < data.PCRIT) then
x := Modelica.Math.acos(p/data.PCRIT);
dv := (1 + x*(-1.8463850803362596 + x*(-1.1447872718878493 + x*(
59.18702203076563 + x*(-403.5391431811611 + x*(1437.2007245332388
+ x*(-3015.853540307519 + x*(3740.5790348670057 + x*(-2537.375817253895
+ (725.8761975803782 - 0.0011151111658332337*x)*x)))))))))*data.DCRIT;
else
dv := data.DCRIT;
end if;
end rhov_p_R4b;
function boilingcurve_p "Properties on the boiling curve"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output Common.IF97PhaseBoundaryProperties bpro "Property record";
protected
Common.GibbsDerivs g "Dimensionless Gibbs function and derivatives";
Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives";
SI.Pressure plim=min(p, data.PCRIT - 1e-7)
"Pressure limited to critical pressure - epsilon";
algorithm
bpro.R_s := data.RH2O;
bpro.T := Basic.tsat(plim);
bpro.dpT := Basic.dptofT(bpro.T);
bpro.region3boundary := bpro.T > data.TLIMIT1;
if not bpro.region3boundary then
g := Basic.g1(p, bpro.T);
bpro.d := p/(bpro.R_s*bpro.T*g.pi*g.gpi);
bpro.h := if p > plim then data.HCRIT else bpro.R_s*bpro.T*g.tau*g.gtau;
bpro.s := g.R_s*(g.tau*g.gtau - g.g);
bpro.cp := -bpro.R_s*g.tau*g.tau*g.gtautau;
bpro.vt := bpro.R_s/p*(g.pi*g.gpi - g.tau*g.pi*g.gtaupi);
bpro.vp := bpro.R_s*bpro.T/(p*p)*g.pi*g.pi*g.gpipi;
bpro.pt := -p/bpro.T*(g.gpi - g.tau*g.gtaupi)/(g.gpipi*g.pi);
bpro.pd := -bpro.R_s*bpro.T*g.gpi*g.gpi/(g.gpipi);
else
bpro.d := rhol_p_R4b(plim);
f := Basic.f3(bpro.d, bpro.T);
bpro.h := hl_p_R4b(plim);
// bpro.R_s*bpro.T*(f.tau*f.ftau + f.delta*f.fdelta);
bpro.s := f.R_s*(f.tau*f.ftau - f.f);
bpro.cv := bpro.R_s*(-f.tau*f.tau*f.ftautau);
bpro.pt := bpro.R_s*bpro.d*f.delta*(f.fdelta - f.tau*f.fdeltatau);
bpro.pd := bpro.R_s*bpro.T*f.delta*(2.0*f.fdelta + f.delta*f.fdeltadelta);
end if;
end boilingcurve_p;
function dewcurve_p "Properties on the dew curve"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output Common.IF97PhaseBoundaryProperties bpro "Property record";
protected
Common.GibbsDerivs g "Dimensionless Gibbs function and derivatives";
Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives";
SI.Pressure plim=min(p, data.PCRIT - 1e-7)
"Pressure limited to critical pressure - epsilon";
algorithm
bpro.R_s := data.RH2O;
bpro.T := Basic.tsat(plim);
bpro.dpT := Basic.dptofT(bpro.T);
bpro.region3boundary := bpro.T > data.TLIMIT1;
if not bpro.region3boundary then
g := Basic.g2(p, bpro.T);
bpro.d := p/(bpro.R_s*bpro.T*g.pi*g.gpi);
bpro.h := if p > plim then data.HCRIT else bpro.R_s*bpro.T*g.tau*g.gtau;
bpro.s := g.R_s*(g.tau*g.gtau - g.g);
bpro.cp := -bpro.R_s*g.tau*g.tau*g.gtautau;
bpro.vt := bpro.R_s/p*(g.pi*g.gpi - g.tau*g.pi*g.gtaupi);
bpro.vp := bpro.R_s*bpro.T/(p*p)*g.pi*g.pi*g.gpipi;
bpro.pt := -p/bpro.T*(g.gpi - g.tau*g.gtaupi)/(g.gpipi*g.pi);
bpro.pd := -bpro.R_s*bpro.T*g.gpi*g.gpi/(g.gpipi);
else
bpro.d := rhov_p_R4b(plim);
f := Basic.f3(bpro.d, bpro.T);
bpro.h := hv_p_R4b(plim);
// bpro.R_s*bpro.T*(f.tau*f.ftau + f.delta*f.fdelta);
bpro.s := f.R_s*(f.tau*f.ftau - f.f);
bpro.cv := bpro.R_s*(-f.tau*f.tau*f.ftautau);
bpro.pt := bpro.R_s*bpro.d*f.delta*(f.fdelta - f.tau*f.fdeltatau);
bpro.pd := bpro.R_s*bpro.T*f.delta*(2.0*f.fdelta + f.delta*f.fdeltadelta);
end if;
end dewcurve_p;
function hvl_p
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input Common.IF97PhaseBoundaryProperties bpro "Property record";
output SI.SpecificEnthalpy h "Specific enthalpy";
algorithm
h := bpro.h;
end hvl_p;
function hl_p
"Liquid specific enthalpy on the boundary between regions 4 and 3 or 1"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.SpecificEnthalpy h "Specific enthalpy";
algorithm
h := hvl_p(p, boilingcurve_p(p));
end hl_p;
function hv_p
"Vapour specific enthalpy on the boundary between regions 4 and 3 or 2"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.SpecificEnthalpy h "Specific enthalpy";
algorithm
h := hvl_p(p, dewcurve_p(p));
end hv_p;
function hvl_p_der
"Derivative function for the specific enthalpy along the phase boundary"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input Common.IF97PhaseBoundaryProperties bpro "Property record";
input Real p_der "Derivative of pressure";
output Real h_der
"Time derivative of specific enthalpy along the phase boundary";
algorithm
if bpro.region3boundary then
h_der := ((bpro.d*bpro.pd - bpro.T*bpro.pt)*p_der + (bpro.T*bpro.pt*
bpro.pt + bpro.d*bpro.d*bpro.pd*bpro.cv)/bpro.dpT*p_der)/(bpro.pd*
bpro.d*bpro.d);
else
h_der := (1/bpro.d - bpro.T*bpro.vt)*p_der + bpro.cp/bpro.dpT*p_der;
end if;
end hvl_p_der;
function rhovl_p
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input Common.IF97PhaseBoundaryProperties bpro "Property record";
output SI.Density rho "Density";
algorithm
rho := bpro.d;
end rhovl_p;
function rhol_p "Density of saturated water"
extends Modelica.Icons.Function;
input SI.Pressure p "Saturation pressure";
output SI.Density rho "Density of steam at the condensation point";
algorithm
rho := rhovl_p(p, boilingcurve_p(p));
end rhol_p;
function rhov_p "Density of saturated vapour"
extends Modelica.Icons.Function;
input SI.Pressure p "Saturation pressure";
output SI.Density rho "Density of steam at the condensation point";
algorithm
rho := rhovl_p(p, dewcurve_p(p));
end rhov_p;
function rhovl_p_der
extends Modelica.Icons.Function;
input SI.Pressure p "Saturation pressure";
input Common.IF97PhaseBoundaryProperties bpro "Property record";
input Real p_der "Derivative of pressure";
output Real d_der "Time derivative of density along the phase boundary";
algorithm
d_der := if bpro.region3boundary then (p_der - bpro.pt*p_der/bpro.dpT)/
bpro.pd else -bpro.d*bpro.d*(bpro.vp + bpro.vt/bpro.dpT)*p_der;
end rhovl_p_der;
function sl_p
"Liquid specific entropy on the boundary between regions 4 and 3 or 1"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.SpecificEntropy s "Specific entropy";
protected
SI.Temperature Tsat "Saturation temperature";
SI.SpecificEnthalpy h "Specific enthalpy";
algorithm
if (p < data.PLIMIT4A) then
Tsat := Basic.tsat(p);
(h,s) := Isentropic.handsofpT1(p, Tsat);
elseif (p < data.PCRIT) then
s := sl_p_R4b(p);
else
s := data.SCRIT;
end if;
end sl_p;
function sv_p
"Vapour specific entropy on the boundary between regions 4 and 3 or 2"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.SpecificEntropy s "Specific entropy";
protected
SI.Temperature Tsat "Saturation temperature";
SI.SpecificEnthalpy h "Specific enthalpy";
algorithm
if (p < data.PLIMIT4A) then
Tsat := Basic.tsat(p);
(h,s) := Isentropic.handsofpT2(p, Tsat);
elseif (p < data.PCRIT) then
s := sv_p_R4b(p);
else
s := data.SCRIT;
end if;
end sv_p;
function rhol_T "Density of saturated water"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature";
output SI.Density d "Density of water at the boiling point";
protected
SI.Pressure p "Saturation pressure";
algorithm
p := Basic.psat(T);
if T < data.TLIMIT1 then
d := d1n(p, T);
elseif T < data.TCRIT then
d := rhol_p_R4b(p);
else
d := data.DCRIT;
end if;
end rhol_T;
function rhov_T "Density of saturated vapour"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature";
output SI.Density d "Density of steam at the condensation point";
protected
SI.Pressure p "Saturation pressure";
algorithm
// assert(T <= data.TCRIT,"input temperature has to be below the critical temperature");
p := Basic.psat(T);
if T < data.TLIMIT1 then
d := d2n(p, T);
elseif T < data.TCRIT then
d := rhov_p_R4b(p);
else
d := data.DCRIT;
end if;
end rhov_T;
function region_ph
"Return the current region (valid values: 1,2,3,4,5) in IF97 for given pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Integer phase=0
"Phase: 2 for two-phase, 1 for one phase, 0 if not known";
input Integer mode=0
"Mode: 0 means check, otherwise assume region=mode";
output Integer region "Region (valid values: 1,2,3,4,5) in IF97";
// If mode is different from 0, no checking for the region is done and
// the mode is assumed to be the correct region. This can be used to
// implement e.g., water-only steam tables when mode == 1
protected
Boolean hsubcrit;
SI.Temperature Ttest;
constant Real[5] n=data.n;
SI.SpecificEnthalpy hl "Bubble enthalpy";
SI.SpecificEnthalpy hv "Dew enthalpy";
algorithm
if (mode <> 0) then
region := mode;
else
// check for regions 1, 2, 3 and 4
hl := hl_p(p);
hv := hv_p(p);
if (phase == 2) then
region := 4;
else
// phase == 1 or 0, now check if we are in the legal area
if (p < triple.ptriple) or (p > data.PLIMIT1) or (h < hlowerofp1(p))
or ((p < 10.0e6) and (h > hupperofp5(p))) or ((p >= 10.0e6)
and (h > hupperofp2(p))) then
// outside of valid range
region := -1;
else
//region 5 and -1 check complete
hsubcrit := (h < data.HCRIT);
// simple precheck: very simple if pressure < PLIMIT4A
if (p < data.PLIMIT4A) then
// we can never be in region 3, so test for others
if hsubcrit then
if (phase == 1) then
region := 1;
else
if (h < Isentropic.hofpT1(p, Basic.tsat(p))) then
region := 1;
else
region := 4;
end if;
end if;
// external or internal phase check
else
if (h > hlowerofp5(p)) then
// check for region 5
if ((p < data.PLIMIT5) and (h < hupperofp5(p))) then
region := 5;
else
region := -2;
// pressure and specific enthalpy too high, but this should
end if;
// never happen
else
if (phase == 1) then
region := 2;
else
if (h > Isentropic.hofpT2(p, Basic.tsat(p))) then
region := 2;
else
region := 4;
end if;
end if;
// external or internal phase check
end if;
// tests for region 2 or 5
end if;
// tests for sub or supercritical
else
// the pressure is over data.PLIMIT4A
if hsubcrit then
// region 1 or 3 or 4
if h < hupperofp1(p) then
region := 1;
else
if h < hl or p > data.PCRIT then
region := 3;
else
region := 4;
end if;
end if;
// end of test for region 1, 3 or 4
else
// region 2, 3 or 4
if (h > hlowerofp2(p)) then
region := 2;
else
if h > hv or p > data.PCRIT then
region := 3;
else
region := 4;
end if;
end if;
// test for 2 and 3
end if;
// tests above PLIMIT4A
end if;
// above or below PLIMIT4A
end if;
// check for grand limits of p and h
end if;
// all tests with phase == 1
end if;
// mode was == 0
// assert(region > 0,"IF97 function called outside the valid range!");
end region_ph;
function region_ps
"Return the current region (valid values: 1,2,3,4,5) in IF97 for given pressure and specific entropy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
input Integer phase=0
"Phase: 2 for two-phase, 1 for one phase, 0 if unknown";
input Integer mode=0
"Mode: 0 means check, otherwise assume region=mode";
output Integer region "Region (valid values: 1,2,3,4,5) in IF97";
// If mode is different from 0, no checking for the region is done and
// the mode is assumed to be the correct region. This can be used to
// implement e.g., water-only steam tables when mode == 1
protected
Boolean ssubcrit;
SI.Temperature Ttest;
constant Real[5] n=data.n;
SI.SpecificEntropy sl "Bubble entropy";
SI.SpecificEntropy sv "Dew entropy";
algorithm
if (mode <> 0) then
region := mode;
else
// check for regions 1, 2, 3, and 4
sl := sl_p(p);
sv := sv_p(p);
// check all cases two-phase
if (phase == 2) or (phase == 0 and s > sl and s < sv and p < data.PCRIT) then
region := 4;
else
// phase == 1
region := 0;
if (p < triple.ptriple) then
region := -2;
end if;
if (p > data.PLIMIT1) then
region := -3;
end if;
if ((p < 10.0e6) and (s > supperofp5(p))) then
region := -5;
end if;
if ((p >= 10.0e6) and (s > supperofp2(p))) then
region := -6;
end if;
if region < 0 then
assert(false,
"Region computation from p and s failed: function called outside the legal region");
else
ssubcrit := (s < data.SCRIT);
// simple precheck: very simple if pressure < PLIMIT4A
if (p < data.PLIMIT4A) then
// we can never be in region 3, so test for 1 and 2
if ssubcrit then
region := 1;
else
if (s > slowerofp5(p)) then
// check for region 5
if ((p < data.PLIMIT5) and (s < supperofp5(p))) then
region := 5;
else
region := -1;
// pressure and specific entropy too high, should never happen!
end if;
else
region := 2;
end if;
// tests for region 2 or 5
end if;
// tests for sub or supercritical
else
// the pressure is over data.PLIMIT4A
if ssubcrit then
// region 1 or 3
if s < supperofp1(p) then
region := 1;
else
if s < sl or p > data.PCRIT then
region := 3;
else
region := 4;
end if;
end if;
// test for region 1, 3 or 4
else
// region 2, 3 or 4
if (s > slowerofp2(p)) then
region := 2;
else
if s > sv or p > data.PCRIT then
region := 3;
else
region := 4;
end if;
end if;
// test for 2,3 and 4
end if;
// tests above PLIMIT4A
end if;
// above or below PLIMIT4A
end if;
// grand test for limits of p and s
end if;
// all tests with phase == 1
end if;
// mode was == 0
end region_ps;
function region_pT
"Return the current region (valid values: 1,2,3,5) in IF97, given pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature (K)";
input Integer mode=0
"Mode: 0 means check, otherwise assume region=mode";
output Integer region
"Region (valid values: 1,2,3,5) in IF97, region 4 is impossible!";
algorithm
if (mode <> 0) then
region := mode;
else
if p < data.PLIMIT4A then
//test for regions 1,2,5
if T > data.TLIMIT2 then
region := 5;
elseif T > Basic.tsat(p) then
region := 2;
else
region := 1;
end if;
else
//test for regions 1,2,3
if T < data.TLIMIT1 then
region := 1;
elseif T < boundary23ofp(p) then
region := 3;
else
region := 2;
end if;
end if;
end if;
// mode was == 0
end region_pT;
function region_dT
"Return the current region (valid values: 1,2,3,4,5) in IF97, given density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature (K)";
input Integer phase=0
"Phase: 2 for two-phase, 1 for one phase, 0 if not known";
input Integer mode=0
"Mode: 0 means check, otherwise assume region=mode";
output Integer region "(valid values: 1,2,3,4,5) in IF97";
protected
Boolean Tovercrit "Flag if overcritical temperature";
SI.Pressure p23 "Pressure needed to know if region 2 or 3";
algorithm
Tovercrit := T > data.TCRIT;
if (mode <> 0) then
region := mode;
else
p23 := boundary23ofT(T);
if T > data.TLIMIT2 then
if d < 20.5655874106483 then
// check for the density in the upper corner of validity!
region := 5;
else
assert(false,
"Out of valid region for IF97, pressure above region 5!");
end if;
elseif Tovercrit then
//check for regions 1, 2 or 3
if d > d2n(p23, T) and T > data.TLIMIT1 then
region := 3;
elseif T < data.TLIMIT1 then
region := 1;
else
// d < d2n(p23, T) and T > data.TLIMIT1
region := 2;
end if;
// below critical, check for regions 1, 2, 3 or 4
elseif (d > rhol_T(T)) then
// either 1 or 3
if T < data.TLIMIT1 then
region := 1;
else
region := 3;
end if;
elseif (d < rhov_T(T)) then
// not liquid, not 2-phase, and not region 5, so either 2 or 3 or illegal
if (d > d2n(p23, T) and T > data.TLIMIT1) then
region := 3;
else
region := 2;
end if;
else
region := 4;
end if;
end if;
end region_dT;
function hvl_dp
"Derivative function for the specific enthalpy along the phase boundary"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input Common.IF97PhaseBoundaryProperties bpro "Property record";
output Real dh_dp
"Derivative of specific enthalpy along the phase boundary";
algorithm
if bpro.region3boundary then
dh_dp := ((bpro.d*bpro.pd - bpro.T*bpro.pt) + (bpro.T*bpro.pt*bpro.pt
+ bpro.d*bpro.d*bpro.pd*bpro.cv)/bpro.dpT)/(bpro.pd*bpro.d*bpro.d);
else
dh_dp := (1/bpro.d - bpro.T*bpro.vt) + bpro.cp/bpro.dpT;
end if;
end hvl_dp;
function dhl_dp
"Derivative of liquid specific enthalpy on the boundary between regions 4 and 3 or 1 w.r.t. pressure"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.DerEnthalpyByPressure dh_dp
"Specific enthalpy derivative w.r.t. pressure";
algorithm
dh_dp := hvl_dp(p, boilingcurve_p(p));
end dhl_dp;
function dhv_dp
"Derivative of vapour specific enthalpy on the boundary between regions 4 and 3 or 1 w.r.t. pressure"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.DerEnthalpyByPressure dh_dp
"Specific enthalpy derivative w.r.t. pressure";
algorithm
dh_dp := hvl_dp(p, dewcurve_p(p));
end dhv_dp;
function drhovl_dp
extends Modelica.Icons.Function;
input SI.Pressure p "Saturation pressure";
input Common.IF97PhaseBoundaryProperties bpro "Property record";
output Real dd_dp(unit="kg/(m3.Pa)")
"Derivative of density along the phase boundary";
algorithm
dd_dp := if bpro.region3boundary then (1.0 - bpro.pt/bpro.dpT)/bpro.pd
else -bpro.d*bpro.d*(bpro.vp + bpro.vt/bpro.dpT);
end drhovl_dp;
function drhol_dp
"Derivative of density of saturated water w.r.t. pressure"
extends Modelica.Icons.Function;
input SI.Pressure p "Saturation pressure";
output SI.DerDensityByPressure dd_dp
"Derivative of density of water at the boiling point";
algorithm
dd_dp := drhovl_dp(p, boilingcurve_p(p));
end drhol_dp;
function drhov_dp
"Derivative of density of saturated steam w.r.t. pressure"
extends Modelica.Icons.Function;
input SI.Pressure p "Saturation pressure";
output SI.DerDensityByPressure dd_dp
"Derivative of density of water at the boiling point";
algorithm
dd_dp := drhovl_dp(p, dewcurve_p(p));
end drhov_dp;
end Regions;
//===================================================================
// Base functions
//===================================================================
package Basic "Base functions as described in IAWPS/IF97"
extends Modelica.Icons.FunctionsPackage;
function g1 "Gibbs function for region 1: g(p,T)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature (K)";
output Modelica.Media.Common.GibbsDerivs g
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
protected
Real pi1 "Dimensionless pressure";
Real tau1 "Dimensionless temperature";
Real[45] o "Vector of auxiliary variables";
Real pl "Auxiliary variable";
algorithm
pl := min(p, data.PCRIT - 1);
assert(p > triple.ptriple,
"IF97 medium function g1 called with too low pressure\n" + "p = " +
String(p) + " Pa <= " + String(triple.ptriple) +
" Pa (triple point pressure)");
assert(p <= 100.0e6, "IF97 medium function g1: the input pressure (= "
+ String(p) + " Pa) is higher than 100 MPa");
assert(T >= 273.15, "IF97 medium function g1: the temperature (= " +
String(T) + " K) is lower than 273.15 K!");
g.p := p;
g.T := T;
g.R_s := data.RH2O;
g.pi := p/data.PSTAR1;
g.tau := data.TSTAR1/T;
pi1 := 7.1000000000000 - g.pi;
tau1 := -1.22200000000000 + g.tau;
o[1] := tau1*tau1;
o[2] := o[1]*o[1];
o[3] := o[2]*o[2];
o[4] := o[3]*tau1;
o[5] := 1/o[4];
o[6] := o[1]*o[2];
o[7] := o[1]*tau1;
o[8] := 1/o[7];
o[9] := o[1]*o[2]*o[3];
o[10] := 1/o[2];
o[11] := o[2]*tau1;
o[12] := 1/o[11];
o[13] := o[2]*o[3];
o[14] := 1/o[3];
o[15] := pi1*pi1;
o[16] := o[15]*pi1;
o[17] := o[15]*o[15];
o[18] := o[17]*o[17];
o[19] := o[17]*o[18]*pi1;
o[20] := o[15]*o[17];
o[21] := o[3]*o[3];
o[22] := o[21]*o[21];
o[23] := o[22]*o[3]*tau1;
o[24] := 1/o[23];
o[25] := o[22]*o[3];
o[26] := 1/o[25];
o[27] := o[1]*o[2]*o[22]*tau1;
o[28] := 1/o[27];
o[29] := o[1]*o[2]*o[22];
o[30] := 1/o[29];
o[31] := o[1]*o[2]*o[21]*o[3]*tau1;
o[32] := 1/o[31];
o[33] := o[2]*o[21]*o[3]*tau1;
o[34] := 1/o[33];
o[35] := o[1]*o[3]*tau1;
o[36] := 1/o[35];
o[37] := o[1]*o[3];
o[38] := 1/o[37];
o[39] := 1/o[6];
o[40] := o[1]*o[22]*o[3];
o[41] := 1/o[40];
o[42] := 1/o[22];
o[43] := o[1]*o[2]*o[21]*o[3];
o[44] := 1/o[43];
o[45] := 1/o[13];
g.g := pi1*(pi1*(pi1*(o[10]*(-0.000031679644845054 + o[2]*(-2.82707979853120e-6
- 8.5205128120103e-10*o[6])) + pi1*(o[12]*(-2.24252819080000e-6 + (-6.5171222895601e-7
- 1.43417299379240e-13*o[13])*o[7]) + pi1*(-4.0516996860117e-7*o[14]
+ o[16]*((-1.27343017416410e-9 - 1.74248712306340e-10*o[11])*o[36]
+ o[19]*(-6.8762131295531e-19*o[34] + o[15]*(1.44783078285210e-20*o[
32] + o[20]*(2.63357816627950e-23*o[30] + pi1*(-1.19476226400710e-23*
o[28] + pi1*(1.82280945814040e-24*o[26] - 9.3537087292458e-26*o[24]*
pi1))))))))) + o[8]*(-0.00047184321073267 + o[7]*(-0.000300017807930260
+ (0.000047661393906987 + o[1]*(-4.4141845330846e-6 -
7.2694996297594e-16*o[9]))*tau1))) + o[5]*(0.000283190801238040 + o[1]
*(-0.00060706301565874 + o[6]*(-0.0189900682184190 + tau1*(-0.032529748770505
+ (-0.0218417171754140 - 0.000052838357969930*o[1])*tau1))))) + (
0.146329712131670 + tau1*(-0.84548187169114 + tau1*(-3.7563603672040
+ tau1*(3.3855169168385 + tau1*(-0.95791963387872 + tau1*(
0.157720385132280 + (-0.0166164171995010 + 0.00081214629983568*tau1)*
tau1))))))/o[1];
g.gpi := pi1*(pi1*(o[10]*(0.000095038934535162 + o[2]*(
8.4812393955936e-6 + 2.55615384360309e-9*o[6])) + pi1*(o[12]*(
8.9701127632000e-6 + (2.60684891582404e-6 + 5.7366919751696e-13*o[13])
*o[7]) + pi1*(2.02584984300585e-6*o[14] + o[16]*((1.01874413933128e-8
+ 1.39398969845072e-9*o[11])*o[36] + o[19]*(1.44400475720615e-17*o[
34] + o[15]*(-3.3300108005598e-19*o[32] + o[20]*(-7.6373766822106e-22
*o[30] + pi1*(3.5842867920213e-22*o[28] + pi1*(-5.6507093202352e-23*o[
26] + 2.99318679335866e-24*o[24]*pi1))))))))) + o[8]*(
0.00094368642146534 + o[7]*(0.00060003561586052 + (-0.000095322787813974
+ o[1]*(8.8283690661692e-6 + 1.45389992595188e-15*o[9]))*tau1))) + o[
5]*(-0.000283190801238040 + o[1]*(0.00060706301565874 + o[6]*(
0.0189900682184190 + tau1*(0.032529748770505 + (0.0218417171754140 +
0.000052838357969930*o[1])*tau1))));
g.gpipi := pi1*(o[10]*(-0.000190077869070324 + o[2]*(-0.0000169624787911872
- 5.1123076872062e-9*o[6])) + pi1*(o[12]*(-0.0000269103382896000 + (
-7.8205467474721e-6 - 1.72100759255088e-12*o[13])*o[7]) + pi1*(-8.1033993720234e-6
*o[14] + o[16]*((-7.1312089753190e-8 - 9.7579278891550e-9*o[11])*o[36]
+ o[19]*(-2.88800951441230e-16*o[34] + o[15]*(7.3260237612316e-18*o[
32] + o[20]*(2.13846547101895e-20*o[30] + pi1*(-1.03944316968618e-20*
o[28] + pi1*(1.69521279607057e-21*o[26] - 9.2788790594118e-23*o[24]*
pi1))))))))) + o[8]*(-0.00094368642146534 + o[7]*(-0.00060003561586052
+ (0.000095322787813974 + o[1]*(-8.8283690661692e-6 -
1.45389992595188e-15*o[9]))*tau1));
g.gtau := pi1*(o[38]*(-0.00254871721114236 + o[1]*(0.0042494411096112
+ (0.0189900682184190 + (-0.0218417171754140 - 0.000158515073909790*
o[1])*o[1])*o[6])) + pi1*(o[10]*(0.00141552963219801 + o[2]*(
0.000047661393906987 + o[1]*(-0.0000132425535992538 -
1.23581493705910e-14*o[9]))) + pi1*(o[12]*(0.000126718579380216 -
5.1123076872062e-9*o[37]) + pi1*(o[39]*(0.0000112126409540000 + (
1.30342445791202e-6 - 1.43417299379240e-12*o[13])*o[7]) + pi1*(
3.2413597488094e-6*o[5] + o[16]*((1.40077319158051e-8 +
1.04549227383804e-9*o[11])*o[45] + o[19]*(1.99410180757040e-17*o[44]
+ o[15]*(-4.4882754268415e-19*o[42] + o[20]*(-1.00075970318621e-21*o[
28] + pi1*(4.6595728296277e-22*o[26] + pi1*(-7.2912378325616e-23*o[24]
+ 3.8350205789908e-24*o[41]*pi1))))))))))) + o[8]*(-0.292659424263340
+ tau1*(0.84548187169114 + o[1]*(3.3855169168385 + tau1*(-1.91583926775744
+ tau1*(0.47316115539684 + (-0.066465668798004 + 0.0040607314991784*
tau1)*tau1)))));
g.gtautau := pi1*(o[36]*(0.0254871721114236 + o[1]*(-0.033995528876889
+ (-0.037980136436838 - 0.00031703014781958*o[2])*o[6])) + pi1*(o[12]
*(-0.0056621185287920 + o[6]*(-0.0000264851071985076 -
1.97730389929456e-13*o[9])) + pi1*((-0.00063359289690108 -
2.55615384360309e-8*o[37])*o[39] + pi1*(pi1*(-0.0000291722377392842*o[
38] + o[16]*(o[19]*(-5.9823054227112e-16*o[32] + o[15]*(o[20]*(
3.9029628424262e-20*o[26] + pi1*(-1.86382913185108e-20*o[24] + pi1*(
2.98940751135026e-21*o[41] - (1.61070864317613e-22*pi1)/(o[1]*o[22]*o[
3]*tau1)))) + 1.43624813658928e-17/(o[22]*tau1))) + (-1.68092782989661e-7
- 7.3184459168663e-9*o[11])/(o[2]*o[3]*tau1))) + (-0.000067275845724000
+ (-3.9102733737361e-6 - 1.29075569441316e-11*o[13])*o[7])/(o[1]*o[2]
*tau1))))) + o[10]*(0.87797827279002 + tau1*(-1.69096374338228 + o[7]
*(-1.91583926775744 + tau1*(0.94632231079368 + (-0.199397006394012 +
0.0162429259967136*tau1)*tau1))));
g.gtaupi := o[38]*(0.00254871721114236 + o[1]*(-0.0042494411096112 + (-0.0189900682184190
+ (0.0218417171754140 + 0.000158515073909790*o[1])*o[1])*o[6])) +
pi1*(o[10]*(-0.00283105926439602 + o[2]*(-0.000095322787813974 + o[1]
*(0.0000264851071985076 + 2.47162987411820e-14*o[9]))) + pi1*(o[12]*(
-0.00038015573814065 + 1.53369230616185e-8*o[37]) + pi1*(o[39]*(-0.000044850563816000
+ (-5.2136978316481e-6 + 5.7366919751696e-12*o[13])*o[7]) + pi1*(-0.0000162067987440468
*o[5] + o[16]*((-1.12061855326441e-7 - 8.3639381907043e-9*o[11])*o[45]
+ o[19]*(-4.1876137958978e-16*o[44] + o[15]*(1.03230334817355e-17*o[
42] + o[20]*(2.90220313924001e-20*o[28] + pi1*(-1.39787184888831e-20*
o[26] + pi1*(2.26028372809410e-21*o[24] - 1.22720658527705e-22*o[41]*
pi1))))))))));
end g1;
function g2 "Gibbs function for region 2: g(p,T)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature (K)";
input Boolean checkLimits=true "Check if inputs p,T are in region of validity";
output Modelica.Media.Common.GibbsDerivs g
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
protected
Real tau2 "Dimensionless temperature";
Real[55] o "Vector of auxiliary variables";
algorithm
g.p := p;
g.T := T;
g.R_s := data.RH2O;
if checkLimits then
assert(p > 0.0,
"IF97 medium function g2 called with too low pressure\n" + "p = " +
String(p) + " Pa <= 0.0 Pa");
assert(p <= 100.0e6, "IF97 medium function g2: the input pressure (= "
+ String(p) + " Pa) is higher than 100 MPa");
assert(T >= 273.15, "IF97 medium function g2: the temperature (= " +
String(T) + " K) is lower than 273.15 K!");
assert(T <= 1073.15,
"IF97 medium function g2: the input temperature (= " + String(T) +
" K) is higher than the limit of 1073.15 K");
end if;
g.pi := p/data.PSTAR2;
g.tau := data.TSTAR2/T;
tau2 := -0.5 + g.tau;
o[1] := tau2*tau2;
o[2] := o[1]*tau2;
o[3] := -0.050325278727930*o[2];
o[4] := -0.057581259083432 + o[3];
o[5] := o[4]*tau2;
o[6] := -0.045996013696365 + o[5];
o[7] := o[6]*tau2;
o[8] := -0.0178348622923580 + o[7];
o[9] := o[8]*tau2;
o[10] := o[1]*o[1];
o[11] := o[10]*o[10];
o[12] := o[11]*o[11];
o[13] := o[10]*o[11]*o[12]*tau2;
o[14] := o[1]*o[10]*tau2;
o[15] := o[10]*o[11]*tau2;
o[16] := o[1]*o[12]*tau2;
o[17] := o[1]*o[11]*tau2;
o[18] := o[1]*o[10]*o[11];
o[19] := o[10]*o[11]*o[12];
o[20] := o[1]*o[10];
o[21] := g.pi*g.pi;
o[22] := o[21]*o[21];
o[23] := o[21]*o[22];
o[24] := o[10]*o[12]*tau2;
o[25] := o[12]*o[12];
o[26] := o[11]*o[12]*o[25]*tau2;
o[27] := o[10]*o[12];
o[28] := o[1]*o[10]*o[11]*tau2;
o[29] := o[10]*o[12]*o[25]*tau2;
o[30] := o[1]*o[10]*o[25]*tau2;
o[31] := o[1]*o[11]*o[12];
o[32] := o[1]*o[12];
o[33] := g.tau*g.tau;
o[34] := o[33]*o[33];
o[35] := -0.000053349095828174*o[13];
o[36] := -0.087594591301146 + o[35];
o[37] := o[2]*o[36];
o[38] := -0.0078785554486710 + o[37];
o[39] := o[1]*o[38];
o[40] := -0.00037897975032630 + o[39];
o[41] := o[40]*tau2;
o[42] := -0.000066065283340406 + o[41];
o[43] := o[42]*tau2;
o[44] := 5.7870447262208e-6*tau2;
o[45] := -0.301951672367580*o[2];
o[46] := -0.172743777250296 + o[45];
o[47] := o[46]*tau2;
o[48] := -0.091992027392730 + o[47];
o[49] := o[48]*tau2;
o[50] := o[1]*o[11];
o[51] := o[10]*o[11];
o[52] := o[11]*o[12]*o[25];
o[53] := o[10]*o[12]*o[25];
o[54] := o[1]*o[10]*o[25];
o[55] := o[11]*o[12]*tau2;
g.g := g.pi*(-0.00177317424732130 + o[9] + g.pi*(tau2*(-0.000033032641670203
+ (-0.000189489875163150 + o[1]*(-0.0039392777243355 + (-0.043797295650573
- 0.0000266745479140870*o[13])*o[2]))*tau2) + g.pi*(
2.04817376923090e-8 + (4.3870667284435e-7 + o[1]*(-0.000032277677238570
+ (-0.00150339245421480 - 0.040668253562649*o[13])*o[2]))*tau2 + g.pi
*(g.pi*(2.29220763376610e-6*o[14] + g.pi*((-1.67147664510610e-11 + o[
15]*(-0.00211714723213550 - 23.8957419341040*o[16]))*o[2] + g.pi*(-5.9059564324270e-18
+ o[17]*(-1.26218088991010e-6 - 0.038946842435739*o[18]) + g.pi*(o[
11]*(1.12562113604590e-11 - 8.2311340897998*o[19]) + g.pi*(
1.98097128020880e-8*o[15] + g.pi*(o[10]*(1.04069652101740e-19 + (-1.02347470959290e-13
- 1.00181793795110e-9*o[10])*o[20]) + o[23]*(o[13]*(-8.0882908646985e-11
+ 0.106930318794090*o[24]) + o[21]*(-0.33662250574171*o[26] + o[21]*
(o[27]*(8.9185845355421e-25 + (3.06293168762320e-13 -
4.2002467698208e-6*o[15])*o[28]) + g.pi*(-5.9056029685639e-26*o[24]
+ g.pi*(3.7826947613457e-6*o[29] + g.pi*(-1.27686089346810e-15*o[30]
+ o[31]*(7.3087610595061e-29 + o[18]*(5.5414715350778e-17 -
9.4369707241210e-7*o[32]))*g.pi)))))))))))) + tau2*(-7.8847309559367e-10
+ (1.27907178522850e-8 + 4.8225372718507e-7*tau2)*tau2))))) + (-0.0056087911830200
+ g.tau*(0.071452738814550 + g.tau*(-0.40710498239280 + g.tau*(
1.42408197144400 + g.tau*(-4.3839511194500 + g.tau*(-9.6927686002170
+ g.tau*(10.0866556801800 + (-0.284086326077200 + 0.0212684635330700
*g.tau)*g.tau) + Modelica.Math.log(g.pi)))))))/(o[34]*g.tau);
g.gpi := (1.00000000000000 + g.pi*(-0.00177317424732130 + o[9] + g.pi*(
o[43] + g.pi*(6.1445213076927e-8 + (1.31612001853305e-6 + o[1]*(-0.000096833031715710
+ (-0.0045101773626444 - 0.122004760687947*o[13])*o[2]))*tau2 + g.pi
*(g.pi*(0.0000114610381688305*o[14] + g.pi*((-1.00288598706366e-10 +
o[15]*(-0.0127028833928130 - 143.374451604624*o[16]))*o[2] + g.pi*(-4.1341695026989e-17
+ o[17]*(-8.8352662293707e-6 - 0.272627897050173*o[18]) + g.pi*(o[11]
*(9.0049690883672e-11 - 65.849072718398*o[19]) + g.pi*(
1.78287415218792e-7*o[15] + g.pi*(o[10]*(1.04069652101740e-18 + (-1.02347470959290e-12
- 1.00181793795110e-8*o[10])*o[20]) + o[23]*(o[13]*(-1.29412653835176e-9
+ 1.71088510070544*o[24]) + o[21]*(-6.0592051033508*o[26] + o[21]*(o[
27]*(1.78371690710842e-23 + (6.1258633752464e-12 -
0.000084004935396416*o[15])*o[28]) + g.pi*(-1.24017662339842e-24*o[24]
+ g.pi*(0.000083219284749605*o[29] + g.pi*(-2.93678005497663e-14*o[
30] + o[31]*(1.75410265428146e-27 + o[18]*(1.32995316841867e-15 -
0.0000226487297378904*o[32]))*g.pi)))))))))))) + tau2*(-3.15389238237468e-9
+ (5.1162871409140e-8 + 1.92901490874028e-6*tau2)*tau2))))))/g.pi;
g.gpipi := (-1.00000000000000 + o[21]*(o[43] + g.pi*(
1.22890426153854e-7 + (2.63224003706610e-6 + o[1]*(-0.000193666063431420
+ (-0.0090203547252888 - 0.244009521375894*o[13])*o[2]))*tau2 + g.pi
*(g.pi*(0.000045844152675322*o[14] + g.pi*((-5.0144299353183e-10 + o[
15]*(-0.063514416964065 - 716.87225802312*o[16]))*o[2] + g.pi*(-2.48050170161934e-16
+ o[17]*(-0.000053011597376224 - 1.63576738230104*o[18]) + g.pi*(o[
11]*(6.3034783618570e-10 - 460.94350902879*o[19]) + g.pi*(
1.42629932175034e-6*o[15] + g.pi*(o[10]*(9.3662686891566e-18 + (-9.2112723863361e-12
- 9.0163614415599e-8*o[10])*o[20]) + o[23]*(o[13]*(-1.94118980752764e-8
+ 25.6632765105816*o[24]) + o[21]*(-103.006486756963*o[26] + o[21]*(
o[27]*(3.3890621235060e-22 + (1.16391404129682e-10 -
0.00159609377253190*o[15])*o[28]) + g.pi*(-2.48035324679684e-23*o[24]
+ g.pi*(0.00174760497974171*o[29] + g.pi*(-6.4609161209486e-13*o[30]
+ o[31]*(4.0344361048474e-26 + o[18]*(3.05889228736295e-14 -
0.00052092078397148*o[32]))*g.pi)))))))))))) + tau2*(-9.4616771471240e-9
+ (1.53488614227420e-7 + o[44])*tau2)))))/o[21];
g.gtau := (0.0280439559151000 + g.tau*(-0.285810955258200 + g.tau*(
1.22131494717840 + g.tau*(-2.84816394288800 + g.tau*(4.3839511194500
+ o[33]*(10.0866556801800 + (-0.56817265215440 + 0.063805390599210*g.tau)
*g.tau))))))/(o[33]*o[34]) + g.pi*(-0.0178348622923580 + o[49] + g.pi
*(-0.000033032641670203 + (-0.00037897975032630 + o[1]*(-0.0157571108973420
+ (-0.306581069554011 - 0.00096028372490713*o[13])*o[2]))*tau2 + g.pi
*(4.3870667284435e-7 + o[1]*(-0.000096833031715710 + (-0.0090203547252888
- 1.42338887469272*o[13])*o[2]) + g.pi*(-7.8847309559367e-10 + g.pi*
(0.0000160454534363627*o[20] + g.pi*(o[1]*(-5.0144299353183e-11 + o[
15]*(-0.033874355714168 - 836.35096769364*o[16])) + g.pi*((-0.0000138839897890111
- 0.97367106089347*o[18])*o[50] + g.pi*(o[14]*(9.0049690883672e-11
- 296.320827232793*o[19]) + g.pi*(2.57526266427144e-7*o[51] + g.pi*(
o[2]*(4.1627860840696e-19 + (-1.02347470959290e-12 -
1.40254511313154e-8*o[10])*o[20]) + o[23]*(o[19]*(-2.34560435076256e-9
+ 5.3465159397045*o[24]) + o[21]*(-19.1874828272775*o[52] + o[21]*(o[
16]*(1.78371690710842e-23 + (1.07202609066812e-11 -
0.000201611844951398*o[15])*o[28]) + g.pi*(-1.24017662339842e-24*o[27]
+ g.pi*(0.000200482822351322*o[53] + g.pi*(-4.9797574845256e-14*o[54]
+ (1.90027787547159e-27 + o[18]*(2.21658861403112e-15 -
0.000054734430199902*o[32]))*o[55]*g.pi)))))))))))) + (
2.55814357045700e-8 + 1.44676118155521e-6*tau2)*tau2))));
g.gtautau := (-0.168263735490600 + g.tau*(1.42905477629100 + g.tau*(-4.8852597887136
+ g.tau*(8.5444918286640 + g.tau*(-8.7679022389000 + o[33]*(-0.56817265215440
+ 0.127610781198420*g.tau)*g.tau)))))/(o[33]*o[34]*g.tau) + g.pi*(-0.091992027392730
+ (-0.34548755450059 - 1.50975836183790*o[2])*tau2 + g.pi*(-0.00037897975032630
+ o[1]*(-0.047271332692026 + (-1.83948641732407 - 0.033609930371750*
o[13])*o[2]) + g.pi*((-0.000193666063431420 + (-0.045101773626444 -
48.395221739552*o[13])*o[2])*tau2 + g.pi*(2.55814357045700e-8 +
2.89352236311042e-6*tau2 + g.pi*(0.000096272720618176*o[10]*tau2 + g.pi
*((-1.00288598706366e-10 + o[15]*(-0.50811533571252 -
28435.9329015838*o[16]))*tau2 + g.pi*(o[11]*(-0.000138839897890111 -
23.3681054614434*o[18])*tau2 + g.pi*((6.3034783618570e-10 -
10371.2289531477*o[19])*o[20] + g.pi*(3.09031519712573e-6*o[17] + g.pi
*(o[1]*(1.24883582522088e-18 + (-9.2112723863361e-12 -
1.82330864707100e-7*o[10])*o[20]) + o[23]*(o[1]*o[11]*o[12]*(-6.5676921821352e-8
+ 261.979281045521*o[24])*tau2 + o[21]*(-1074.49903832754*o[1]*o[10]
*o[12]*o[25]*tau2 + o[21]*((3.3890621235060e-22 + (
3.6448887082716e-10 - 0.0094757567127157*o[15])*o[28])*o[32] + g.pi*(
-2.48035324679684e-23*o[16] + g.pi*(0.0104251067622687*o[1]*o[12]*o[
25]*tau2 + g.pi*(o[11]*o[12]*(4.7506946886790e-26 + o[18]*(
8.6446955947214e-14 - 0.00311986252139440*o[32]))*g.pi -
1.89230784411972e-12*o[10]*o[25]*tau2))))))))))))))));
g.gtaupi := -0.0178348622923580 + o[49] + g.pi*(-0.000066065283340406
+ (-0.00075795950065260 + o[1]*(-0.0315142217946840 + (-0.61316213910802
- 0.00192056744981426*o[13])*o[2]))*tau2 + g.pi*(1.31612001853305e-6
+ o[1]*(-0.000290499095147130 + (-0.0270610641758664 -
4.2701666240781*o[13])*o[2]) + g.pi*(-3.15389238237468e-9 + g.pi*(
0.000080227267181813*o[20] + g.pi*(o[1]*(-3.00865796119098e-10 + o[15]
*(-0.203246134285008 - 5018.1058061618*o[16])) + g.pi*((-0.000097187928523078
- 6.8156974262543*o[18])*o[50] + g.pi*(o[14]*(7.2039752706938e-10 -
2370.56661786234*o[19]) + g.pi*(2.31773639784430e-6*o[51] + g.pi*(o[2]
*(4.1627860840696e-18 + (-1.02347470959290e-11 - 1.40254511313154e-7*
o[10])*o[20]) + o[23]*(o[19]*(-3.7529669612201e-8 + 85.544255035272*o[
24]) + o[21]*(-345.37469089099*o[52] + o[21]*(o[16]*(
3.5674338142168e-22 + (2.14405218133624e-10 - 0.0040322368990280*o[15])
*o[28]) + g.pi*(-2.60437090913668e-23*o[27] + g.pi*(
0.0044106220917291*o[53] + g.pi*(-1.14534422144089e-12*o[54] + (
4.5606669011318e-26 + o[18]*(5.3198126736747e-14 -
0.00131362632479764*o[32]))*o[55]*g.pi)))))))))))) + (
1.02325742818280e-7 + o[44])*tau2)));
end g2;
function g2metastable
"Gibbs function for metastable part of region 2: g(p,T)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature (K)";
output Modelica.Media.Common.GibbsDerivs g
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
protected
Real pi "Dimensionless pressure";
Real tau "Dimensionless temperature";
Real tau2 "Dimensionless temperature";
Real[27] o "Vector of auxiliary variables";
algorithm
assert(p > 0.0,
"IF97 medium function g2metastable called with too low pressure\n" +
"p = " + String(p) + " Pa <= 0.0 Pa");
assert(p <= 100.0e6,
"IF97 medium function g2metastable: the input pressure (= " + String(
p) + " Pa) is higher than 100 MPa");
assert(T >= 273.15,
"IF97 medium function g2metastable: the temperature (= " + String(T)
+ " K) is lower than 273.15 K!");
assert(T <= 1073.15,
"IF97 medium function g2metastable: the input temperature (= " +
String(T) + " K) is higher than the limit of 1073.15 K");
g.p := p;
g.T := T;
g.R_s := data.RH2O;
g.pi := p/data.PSTAR2;
g.tau := data.TSTAR2/T;
tau2 := -0.5 + g.tau;
o[1] := tau2*tau2;
o[2] := o[1]*tau2;
o[3] := o[1]*o[1];
o[4] := o[1]*o[3];
o[5] := -0.0040813178534455*o[4];
o[6] := -0.072334555213245 + o[5];
o[7] := o[2]*o[6];
o[8] := -0.088223831943146 + o[7];
o[9] := o[1]*o[8];
o[10] := o[3]*o[3];
o[11] := o[10]*tau2;
o[12] := o[10]*o[3];
o[13] := o[1]*o[3]*tau2;
o[14] := g.tau*g.tau;
o[15] := o[14]*o[14];
o[16] := -0.015238081817394*o[11];
o[17] := -0.106091843797284 + o[16];
o[18] := o[17]*o[4];
o[19] := 0.0040195606760414 + o[18];
o[20] := o[19]*tau2;
o[21] := g.pi*g.pi;
o[22] := -0.0448944963879005*o[4];
o[23] := -0.361672776066225 + o[22];
o[24] := o[2]*o[23];
o[25] := -0.176447663886292 + o[24];
o[26] := o[25]*tau2;
o[27] := o[3]*tau2;
g.g := g.pi*(-0.0073362260186506 + o[9] + g.pi*(g.pi*((-0.0063498037657313
- 0.086043093028588*o[12])*o[3] + g.pi*(o[13]*(0.007532158152277 -
0.0079238375446139*o[2]) + o[11]*g.pi*(-0.00022888160778447 -
0.002645650148281*tau2))) + (0.0020097803380207 + (-0.053045921898642
- 0.007619040908697*o[11])*o[4])*tau2)) + (-0.00560879118302 + g.tau
*(0.07145273881455 + g.tau*(-0.4071049823928 + g.tau*(1.424081971444
+ g.tau*(-4.38395111945 + g.tau*(-9.6937268393049 + g.tau*(
10.087275970006 + (-0.2840863260772 + 0.02126846353307*g.tau)*g.tau)
+ Modelica.Math.log(g.pi)))))))/(o[15]*g.tau);
g.gpi := (1.0 + g.pi*(-0.0073362260186506 + o[9] + g.pi*(o[20] + g.pi*(
(-0.0190494112971939 - 0.258129279085764*o[12])*o[3] + g.pi*(o[13]*(
0.030128632609108 - 0.0316953501784556*o[2]) + o[11]*g.pi*(-0.00114440803892235
- 0.013228250741405*tau2))))))/g.pi;
g.gpipi := (-1. + o[21]*(o[20] + g.pi*((-0.0380988225943878 -
0.516258558171528*o[12])*o[3] + g.pi*(o[13]*(0.090385897827324 -
0.0950860505353668*o[2]) + o[11]*g.pi*(-0.0045776321556894 -
0.05291300296562*tau2)))))/o[21];
g.gtau := (0.0280439559151 + g.tau*(-0.2858109552582 + g.tau*(
1.2213149471784 + g.tau*(-2.848163942888 + g.tau*(4.38395111945 + o[
14]*(10.087275970006 + (-0.5681726521544 + 0.06380539059921*g.tau)*g.tau))))))
/(o[14]*o[15]) + g.pi*(o[26] + g.pi*(0.0020097803380207 + (-0.371321453290494
- 0.121904654539152*o[11])*o[4] + g.pi*((-0.0253992150629252 -
1.37668948845741*o[12])*o[2] + g.pi*((0.052725107065939 -
0.079238375446139*o[2])*o[4] + o[10]*g.pi*(-0.00205993447006023 -
0.02645650148281*tau2)))));
g.gtautau := (-0.1682637354906 + g.tau*(1.429054776291 + g.tau*(-4.8852597887136
+ g.tau*(8.544491828664 + g.tau*(-8.7679022389 + o[14]*(-0.5681726521544
+ 0.12761078119842*g.tau)*g.tau)))))/(o[14]*o[15]*g.tau) + g.pi*(-0.176447663886292
+ o[2]*(-1.4466911042649 - 0.448944963879005*o[4]) + g.pi*((-2.22792871974296
- 1.82856981808728*o[11])*o[27] + g.pi*(o[1]*(-0.0761976451887756 -
20.6503423268611*o[12]) + g.pi*((0.316350642395634 -
0.713145379015251*o[2])*o[27] + o[13]*g.pi*(-0.0164794757604818 -
0.23810851334529*tau2)))));
g.gtaupi := o[26] + g.pi*(0.0040195606760414 + (-0.742642906580988 -
0.243809309078304*o[11])*o[4] + g.pi*((-0.0761976451887756 -
4.13006846537222*o[12])*o[2] + g.pi*((0.210900428263756 -
0.316953501784556*o[2])*o[4] + o[10]*g.pi*(-0.0102996723503012 -
0.13228250741405*tau2))));
end g2metastable;
function f3 "Helmholtz function for region 3: f(d,T)"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature (K)";
output Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
protected
Real[40] o "Vector of auxiliary variables";
algorithm
f.T := T;
f.d := d;
f.R_s := data.RH2O;
f.tau := data.TCRIT/T;
f.delta := if (d == data.DCRIT and T == data.TCRIT) then 1 - Modelica.Constants.eps
else abs(d/data.DCRIT);
o[1] := f.tau*f.tau;
o[2] := o[1]*o[1];
o[3] := o[2]*f.tau;
o[4] := o[1]*f.tau;
o[5] := o[2]*o[2];
o[6] := o[1]*o[5]*f.tau;
o[7] := o[5]*f.tau;
o[8] := -0.64207765181607*o[1];
o[9] := 0.88521043984318 + o[8];
o[10] := o[7]*o[9];
o[11] := -1.15244078066810 + o[10];
o[12] := o[11]*o[2];
o[13] := -1.26543154777140 + o[12];
o[14] := o[1]*o[13];
o[15] := o[1]*o[2]*o[5]*f.tau;
o[16] := o[2]*o[5];
o[17] := o[1]*o[5];
o[18] := o[5]*o[5];
o[19] := o[1]*o[18]*o[2];
o[20] := o[1]*o[18]*o[2]*f.tau;
o[21] := o[18]*o[5];
o[22] := o[1]*o[18]*o[5];
o[23] := 0.251168168486160*o[2];
o[24] := 0.078841073758308 + o[23];
o[25] := o[15]*o[24];
o[26] := -6.1005234513930 + o[25];
o[27] := o[26]*f.tau;
o[28] := 9.7944563083754 + o[27];
o[29] := o[2]*o[28];
o[30] := -1.70429417648412 + o[29];
o[31] := o[1]*o[30];
o[32] := f.delta*f.delta;
o[33] := -10.9153200808732*o[1];
o[34] := 13.2781565976477 + o[33];
o[35] := o[34]*o[7];
o[36] := -6.9146446840086 + o[35];
o[37] := o[2]*o[36];
o[38] := -2.53086309554280 + o[37];
o[39] := o[38]*f.tau;
o[40] := o[18]*o[5]*f.tau;
f.f := -15.7328452902390 + f.tau*(20.9443969743070 + (-7.6867707878716
+ o[3]*(2.61859477879540 + o[4]*(-2.80807811486200 + o[1]*(
1.20533696965170 - 0.0084566812812502*o[6]))))*f.tau) + f.delta*(o[14]
+ f.delta*(0.38493460186671 + o[1]*(-0.85214708824206 + o[2]*(
4.8972281541877 + (-3.05026172569650 + o[15]*(0.039420536879154 +
0.125584084243080*o[2]))*f.tau)) + f.delta*(-0.279993296987100 + o[1]
*(1.38997995694600 + o[1]*(-2.01899150235700 + o[16]*(-0.0082147637173963
- 0.47596035734923*o[17]))) + f.delta*(0.043984074473500 + o[1]*(-0.44476435428739
+ o[1]*(0.90572070719733 + 0.70522450087967*o[19])) + f.delta*(f.delta
*(-0.0221754008730960 + o[1]*(0.094260751665092 + 0.164362784479610*o[
21]) + f.delta*(-0.0135033722413480*o[1] + f.delta*(-0.0148343453524720
*o[22] + f.delta*(o[1]*(0.00057922953628084 + 0.0032308904703711*o[21])
+ f.delta*(0.000080964802996215 - 0.000044923899061815*f.delta*o[22]
- 0.000165576797950370*f.tau))))) + (0.107705126263320 + o[1]*(-0.32913623258954
- 0.50871062041158*o[20]))*f.tau))))) + 1.06580700285130*
Modelica.Math.log(f.delta);
f.fdelta := (1.06580700285130 + f.delta*(o[14] + f.delta*(
0.76986920373342 + o[31] + f.delta*(-0.83997989096130 + o[1]*(
4.1699398708380 + o[1]*(-6.0569745070710 + o[16]*(-0.0246442911521889
- 1.42788107204769*o[17]))) + f.delta*(0.175936297894000 + o[1]*(-1.77905741714956
+ o[1]*(3.6228828287893 + 2.82089800351868*o[19])) + f.delta*(f.delta
*(-0.133052405238576 + o[1]*(0.56556450999055 + 0.98617670687766*o[21])
+ f.delta*(-0.094523605689436*o[1] + f.delta*(-0.118674762819776*o[
22] + f.delta*(o[1]*(0.0052130658265276 + 0.0290780142333399*o[21])
+ f.delta*(0.00080964802996215 - 0.00049416288967996*f.delta*o[22]
- 0.00165576797950370*f.tau))))) + (0.53852563131660 + o[1]*(-1.64568116294770
- 2.54355310205790*o[20]))*f.tau))))))/f.delta;
f.fdeltadelta := (-1.06580700285130 + o[32]*(0.76986920373342 + o[31]
+ f.delta*(-1.67995978192260 + o[1]*(8.3398797416760 + o[1]*(-12.1139490141420
+ o[16]*(-0.049288582304378 - 2.85576214409538*o[17]))) + f.delta*(
0.52780889368200 + o[1]*(-5.3371722514487 + o[1]*(10.8686484863680 +
8.4626940105560*o[19])) + f.delta*(f.delta*(-0.66526202619288 + o[1]*
(2.82782254995276 + 4.9308835343883*o[21]) + f.delta*(-0.56714163413662
*o[1] + f.delta*(-0.83072333973843*o[22] + f.delta*(o[1]*(
0.041704526612220 + 0.232624113866719*o[21]) + f.delta*(
0.0072868322696594 - 0.0049416288967996*f.delta*o[22] -
0.0149019118155333*f.tau))))) + (2.15410252526640 + o[1]*(-6.5827246517908
- 10.1742124082316*o[20]))*f.tau)))))/o[32];
f.ftau := 20.9443969743070 + (-15.3735415757432 + o[3]*(
18.3301634515678 + o[4]*(-28.0807811486200 + o[1]*(14.4640436358204
- 0.194503669468755*o[6]))))*f.tau + f.delta*(o[39] + f.delta*(f.tau
*(-1.70429417648412 + o[2]*(29.3833689251262 + (-21.3518320798755 + o[
15]*(0.86725181134139 + 3.2651861903201*o[2]))*f.tau)) + f.delta*((
2.77995991389200 + o[1]*(-8.0759660094280 + o[16]*(-0.131436219478341
- 12.3749692910800*o[17])))*f.tau + f.delta*((-0.88952870857478 + o[
1]*(3.6228828287893 + 18.3358370228714*o[19]))*f.tau + f.delta*(
0.107705126263320 + o[1]*(-0.98740869776862 - 13.2264761307011*o[20])
+ f.delta*((0.188521503330184 + 4.2734323964699*o[21])*f.tau + f.delta
*(-0.0270067444826960*f.tau + f.delta*(-0.38569297916427*o[40] + f.delta
*(f.delta*(-0.000165576797950370 - 0.00116802137560719*f.delta*o[40])
+ (0.00115845907256168 + 0.084003152229649*o[21])*f.tau)))))))));
f.ftautau := -15.3735415757432 + o[3]*(109.980980709407 + o[4]*(-252.727030337580
+ o[1]*(159.104479994024 - 4.2790807283126*o[6]))) + f.delta*(-2.53086309554280
+ o[2]*(-34.573223420043 + (185.894192367068 - 174.645121293971*o[1])
*o[7]) + f.delta*(-1.70429417648412 + o[2]*(146.916844625631 + (-128.110992479253
+ o[15]*(18.2122880381691 + 81.629654758002*o[2]))*f.tau) + f.delta*
(2.77995991389200 + o[1]*(-24.2278980282840 + o[16]*(-1.97154329217511
- 309.374232277000*o[17])) + f.delta*(-0.88952870857478 + o[1]*(
10.8686484863680 + 458.39592557179*o[19]) + f.delta*(f.delta*(
0.188521503330184 + 106.835809911747*o[21] + f.delta*(-0.0270067444826960
+ f.delta*(-9.6423244791068*o[21] + f.delta*(0.00115845907256168 +
2.10007880574121*o[21] - 0.0292005343901797*o[21]*o[32])))) + (-1.97481739553724
- 330.66190326753*o[20])*f.tau)))));
f.fdeltatau := o[39] + f.delta*(f.tau*(-3.4085883529682 + o[2]*(
58.766737850252 + (-42.703664159751 + o[15]*(1.73450362268278 +
6.5303723806402*o[2]))*f.tau)) + f.delta*((8.3398797416760 + o[1]*(-24.2278980282840
+ o[16]*(-0.39430865843502 - 37.124907873240*o[17])))*f.tau + f.delta
*((-3.5581148342991 + o[1]*(14.4915313151573 + 73.343348091486*o[19]))
*f.tau + f.delta*(0.53852563131660 + o[1]*(-4.9370434888431 -
66.132380653505*o[20]) + f.delta*((1.13112901998110 +
25.6405943788192*o[21])*f.tau + f.delta*(-0.189047211378872*f.tau + f.delta
*(-3.08554383331418*o[40] + f.delta*(f.delta*(-0.00165576797950370 -
0.0128482351316791*f.delta*o[40]) + (0.0104261316530551 +
0.75602837006684*o[21])*f.tau))))))));
end f3;
function g5 "Base function for region 5: g(p,T)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature (K)";
output Modelica.Media.Common.GibbsDerivs g
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
protected
Real[11] o "Vector of auxiliary variables";
algorithm
assert(p > 0.0,
"IF97 medium function g5 called with too low pressure\n" + "p = " +
String(p) + " Pa <= 0.0 Pa");
assert(p <= data.PLIMIT5, "IF97 medium function g5: input pressure (= "
+ String(p) + " Pa) is higher than 10 MPa in region 5");
assert(T <= 2273.15, "IF97 medium function g5: input temperature (= "
+ String(T) + " K) is higher than limit of 2273.15K in region 5");
g.p := p;
g.T := T;
g.R_s := data.RH2O;
g.pi := p/data.PSTAR5;
g.tau := data.TSTAR5/T;
o[1] := g.tau*g.tau;
o[2] := -0.0045942820899910*o[1];
o[3] := 0.00217746787145710 + o[2];
o[4] := o[3]*g.tau;
o[5] := o[1]*g.tau;
o[6] := o[1]*o[1];
o[7] := o[6]*o[6];
o[8] := o[7]*g.tau;
o[9] := -7.9449656719138e-6*o[8];
o[10] := g.pi*g.pi;
o[11] := -0.0137828462699730*o[1];
g.g := g.pi*(-0.000125631835895920 + o[4] + g.pi*(-3.9724828359569e-6*o[
8] + 1.29192282897840e-7*o[5]*g.pi)) + (-0.0248051489334660 + g.tau*(
0.36901534980333 + g.tau*(-3.11613182139250 + g.tau*(-13.1799836742010
+ (6.8540841634434 - 0.32961626538917*g.tau)*g.tau +
Modelica.Math.log(g.pi)))))/o[5];
g.gpi := (1.0 + g.pi*(-0.000125631835895920 + o[4] + g.pi*(o[9] +
3.8757684869352e-7*o[5]*g.pi)))/g.pi;
g.gpipi := (-1.00000000000000 + o[10]*(o[9] + 7.7515369738704e-7*o[5]*g.pi))
/o[10];
g.gtau := g.pi*(0.00217746787145710 + o[11] + g.pi*(-0.000035752345523612
*o[7] + 3.8757684869352e-7*o[1]*g.pi)) + (0.074415446800398 + g.tau*(
-0.73803069960666 + (3.11613182139250 + o[1]*(6.8540841634434 -
0.65923253077834*g.tau))*g.tau))/o[6];
g.gtautau := (-0.297661787201592 + g.tau*(2.21409209881998 + (-6.2322636427850
- 0.65923253077834*o[5])*g.tau))/(o[6]*g.tau) + g.pi*(-0.0275656925399460
*g.tau + g.pi*(-0.000286018764188897*o[1]*o[6]*g.tau +
7.7515369738704e-7*g.pi*g.tau));
g.gtaupi := 0.00217746787145710 + o[11] + g.pi*(-0.000071504691047224*o[
7] + 1.16273054608056e-6*o[1]*g.pi);
end g5;
function gibbs "Gibbs function for region 1, 2 or 5: g(p,T,region)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature (K)";
input Integer region "IF97 region, 1, 2 or 5";
output Real g "Dimensionless Gibbs function";
protected
Modelica.Media.Common.GibbsDerivs gibbs
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
algorithm
assert(region == 1 or region == 2 or region == 5,
"IF97 medium function gibbs called with wrong region (= " + String(
region) + ").\n" + "Only regions 1, 2 or 5 are possible");
if region == 1 then
gibbs := g1(p, T);
elseif region == 2 then
gibbs := g2(p, T);
else
gibbs := g5(p, T);
end if;
g := gibbs.g;
end gibbs;
function g1pitau "Derivative of g w.r.t. pi and tau"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature (K)";
output Real pi "Dimensionless pressure";
output Real tau "Dimensionless temperature";
output Real gpi "Dimensionless derivative of Gibbs function w.r.t. pi";
output Real gtau
"Dimensionless derivative of Gibbs function w.r.t. tau";
protected
Real pi1 "Dimensionless pressure";
Real tau1 "Dimensionless temperature";
Real[28] o "Vector of auxiliary variables";
algorithm
assert(p > triple.ptriple,
"IF97 medium function g1pitau called with too low pressure\n" +
"p = " + String(p) + " Pa <= " + String(triple.ptriple) +
" Pa (triple point pressure)");
assert(p <= 100.0e6,
"IF97 medium function g1pitau: the input pressure (= " + String(p) +
" Pa) is higher than 100 MPa");
assert(T >= 273.15, "IF97 medium function g1pitau: the temperature (= "
+ String(T) + " K) is lower than 273.15 K!");
pi := p/data.PSTAR1;
tau := data.TSTAR1/T;
pi1 := 7.1 - pi;
tau1 := -1.222 + tau;
o[1] := tau1*tau1;
o[2] := o[1]*tau1;
o[3] := 1/o[2];
o[4] := o[1]*o[1];
o[5] := o[4]*o[4];
o[6] := o[1]*o[5];
o[7] := o[1]*o[4];
o[8] := 1/o[4];
o[9] := o[1]*o[4]*o[5];
o[10] := o[4]*tau1;
o[11] := 1/o[10];
o[12] := o[4]*o[5];
o[13] := o[5]*tau1;
o[14] := 1/o[13];
o[15] := pi1*pi1;
o[16] := o[15]*pi1;
o[17] := o[15]*o[15];
o[18] := o[17]*o[17];
o[19] := o[17]*o[18]*pi1;
o[20] := o[15]*o[17];
o[21] := o[5]*o[5];
o[22] := o[21]*o[21];
o[23] := o[22]*o[5]*tau1;
o[24] := 1/o[23];
o[25] := o[22]*o[5];
o[26] := 1/o[25];
o[27] := o[1]*o[22]*o[4]*tau1;
o[28] := 1/o[27];
gtau := pi1*((-0.00254871721114236 + o[1]*(0.00424944110961118 + (
0.018990068218419 + (-0.021841717175414 - 0.00015851507390979*o[1])*o[
1])*o[7]))/o[6] + pi1*(o[8]*(0.00141552963219801 + o[4]*(
0.000047661393906987 + o[1]*(-0.0000132425535992538 -
1.2358149370591e-14*o[9]))) + pi1*(o[11]*(0.000126718579380216 -
5.11230768720618e-9*o[6]) + pi1*((0.000011212640954 + (
1.30342445791202e-6 - 1.4341729937924e-12*o[12])*o[2])/o[7] + pi1*(
3.24135974880936e-6*o[14] + o[16]*((1.40077319158051e-8 +
1.04549227383804e-9*o[10])/o[12] + o[19]*(1.9941018075704e-17/(o[1]*o[
21]*o[4]*o[5]) + o[15]*(-4.48827542684151e-19/o[22] + o[20]*(-1.00075970318621e-21
*o[28] + pi1*(4.65957282962769e-22*o[26] + pi1*(-7.2912378325616e-23*
o[24] + (3.83502057899078e-24*pi1)/(o[1]*o[22]*o[5])))))))))))) + o[3]
*(-0.29265942426334 + tau1*(0.84548187169114 + o[1]*(3.3855169168385
+ tau1*(-1.91583926775744 + tau1*(0.47316115539684 + (-0.066465668798004
+ 0.0040607314991784*tau1)*tau1)))));
gpi := pi1*(pi1*((0.000095038934535162 + o[4]*(8.4812393955936e-6 +
2.55615384360309e-9*o[7]))*o[8] + pi1*(o[11]*(8.9701127632e-6 + (
2.60684891582404e-6 + 5.7366919751696e-13*o[12])*o[2]) + pi1*(
2.02584984300585e-6/o[5] + o[16]*(o[19]*(o[15]*(o[20]*(-7.63737668221055e-22
/(o[1]*o[22]*o[4]) + pi1*(3.5842867920213e-22*o[28] + pi1*(-5.65070932023524e-23
*o[26] + 2.99318679335866e-24*o[24]*pi1))) - 3.33001080055983e-19/(o[
1]*o[21]*o[4]*o[5]*tau1)) + 1.44400475720615e-17/(o[21]*o[4]*o[5]*
tau1)) + (1.01874413933128e-8 + 1.39398969845072e-9*o[10])/(o[1]*o[5]
*tau1))))) + o[3]*(0.00094368642146534 + o[2]*(0.00060003561586052 +
(-0.000095322787813974 + o[1]*(8.8283690661692e-6 +
1.45389992595188e-15*o[9]))*tau1))) + o[14]*(-0.00028319080123804 + o[
1]*(0.00060706301565874 + o[7]*(0.018990068218419 + tau1*(
0.032529748770505 + (0.021841717175414 + 0.00005283835796993*o[1])*
tau1))));
end g1pitau;
function g2pitau "Derivative of g w.r.t. pi and tau"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature (K)";
output Real pi "Dimensionless pressure";
output Real tau "Dimensionless temperature";
output Real gpi "Dimensionless derivative of Gibbs function w.r.t. pi";
output Real gtau
"Dimensionless derivative of Gibbs function w.r.t. tau";
protected
Real tau2 "Dimensionless temperature";
Real[22] o "Vector of auxiliary variables";
algorithm
assert(p > 0.0,
"IF97 medium function g2pitau called with too low pressure\n" +
"p = " + String(p) + " Pa <= " + String(triple.ptriple) +
" Pa (triple point pressure)");
assert(p <= 100.0e6,
"IF97 medium function g2pitau: the input pressure (= " + String(p) +
" Pa) is higher than 100 MPa");
assert(T >= 273.15, "IF97 medium function g2pitau: the temperature (= "
+ String(T) + " K) is lower than 273.15 K!");
assert(T <= 1073.15,
"IF97 medium function g2pitau: the input temperature (= " + String(T)
+ " K) is higher than the limit of 1073.15 K");
pi := p/data.PSTAR2;
tau := data.TSTAR2/T;
tau2 := -0.5 + tau;
o[1] := tau*tau;
o[2] := o[1]*o[1];
o[3] := tau2*tau2;
o[4] := o[3]*tau2;
o[5] := o[3]*o[3];
o[6] := o[5]*o[5];
o[7] := o[6]*o[6];
o[8] := o[5]*o[6]*o[7]*tau2;
o[9] := o[3]*o[5];
o[10] := o[5]*o[6]*tau2;
o[11] := o[3]*o[7]*tau2;
o[12] := o[3]*o[5]*o[6];
o[13] := o[3]*o[5]*tau2;
o[14] := o[5]*o[6]*o[7];
o[15] := pi*pi;
o[16] := o[15]*o[15];
o[17] := o[15]*o[16];
o[18] := o[5]*o[7]*tau2;
o[19] := o[7]*o[7];
o[20] := o[3]*o[5]*o[6]*tau2;
o[21] := o[5]*o[7];
o[22] := o[3]*o[7];
gtau := (0.0280439559151 + tau*(-0.2858109552582 + tau*(1.2213149471784
+ tau*(-2.848163942888 + tau*(4.38395111945 + o[1]*(10.08665568018
+ (-0.5681726521544 + 0.06380539059921*tau)*tau))))))/(o[1]*o[2]) +
pi*(-0.017834862292358 + tau2*(-0.09199202739273 + (-0.172743777250296
- 0.30195167236758*o[4])*tau2) + pi*(-0.000033032641670203 + (-0.0003789797503263
+ o[3]*(-0.015757110897342 + o[4]*(-0.306581069554011 -
0.000960283724907132*o[8])))*tau2 + pi*(4.3870667284435e-7 + o[3]*(-0.00009683303171571
+ o[4]*(-0.0090203547252888 - 1.42338887469272*o[8])) + pi*(-7.8847309559367e-10
+ (2.558143570457e-8 + 1.44676118155521e-6*tau2)*tau2 + pi*(
0.0000160454534363627*o[9] + pi*((-5.0144299353183e-11 + o[10]*(-0.033874355714168
- 836.35096769364*o[11]))*o[3] + pi*((-0.0000138839897890111 -
0.973671060893475*o[12])*o[3]*o[6] + pi*(o[13]*(9.0049690883672e-11
- 296.320827232793*o[14]) + pi*(2.57526266427144e-7*o[5]*o[6] + pi*(
o[4]*(4.1627860840696e-19 + (-1.0234747095929e-12 -
1.40254511313154e-8*o[5])*o[9]) + o[17]*(o[14]*(-2.34560435076256e-9
+ 5.3465159397045*o[18]) + o[15]*(-19.1874828272775*o[19]*o[6]*o[7]
+ o[15]*(o[11]*(1.78371690710842e-23 + (1.07202609066812e-11 -
0.000201611844951398*o[10])*o[20]) + pi*(-1.24017662339842e-24*o[21]
+ pi*(0.000200482822351322*o[19]*o[5]*o[7] + pi*(-4.97975748452559e-14
*o[19]*o[3]*o[5] + (1.90027787547159e-27 + o[12]*(
2.21658861403112e-15 - 0.0000547344301999018*o[22]))*o[6]*o[7]*pi*
tau2))))))))))))))));
gpi := (1. + pi*(-0.0017731742473213 + tau2*(-0.017834862292358 + tau2*
(-0.045996013696365 + (-0.057581259083432 - 0.05032527872793*o[4])*
tau2)) + pi*(tau2*(-0.000066065283340406 + (-0.0003789797503263 + o[3]
*(-0.007878555448671 + o[4]*(-0.087594591301146 -
0.000053349095828174*o[8])))*tau2) + pi*(6.1445213076927e-8 + (
1.31612001853305e-6 + o[3]*(-0.00009683303171571 + o[4]*(-0.0045101773626444
- 0.122004760687947*o[8])))*tau2 + pi*(tau2*(-3.15389238237468e-9 +
(5.116287140914e-8 + 1.92901490874028e-6*tau2)*tau2) + pi*(
0.0000114610381688305*o[13] + pi*((-1.00288598706366e-10 + o[10]*(-0.012702883392813
- 143.374451604624*o[11]))*o[4] + pi*(-4.1341695026989e-17 + (-8.8352662293707e-6
- 0.272627897050173*o[12])*o[3]*o[6]*tau2 + pi*((9.0049690883672e-11
- 65.8490727183984*o[14])*o[6] + pi*(1.78287415218792e-7*o[10] + pi*
(o[5]*(1.0406965210174e-18 + (-1.0234747095929e-12 -
1.0018179379511e-8*o[5])*o[9]) + o[17]*((-1.29412653835176e-9 +
1.71088510070544*o[18])*o[8] + o[15]*(-6.05920510335078*o[19]*o[6]*o[
7]*tau2 + o[15]*((1.78371690710842e-23 + (6.1258633752464e-12 -
0.000084004935396416*o[10])*o[20])*o[21] + pi*(-1.24017662339842e-24*
o[18] + pi*(0.0000832192847496054*o[19]*o[5]*o[7]*tau2 + pi*((
1.75410265428146e-27 + o[12]*(1.32995316841867e-15 -
0.0000226487297378904*o[22]))*o[3]*o[6]*o[7]*pi -
2.93678005497663e-14*o[19]*o[3]*o[5]*tau2)))))))))))))))))/pi;
end g2pitau;
function g5pitau "Derivative of g w.r.t. pi and tau"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature (K)";
output Real pi "Dimensionless pressure";
output Real tau "Dimensionless temperature";
output Real gpi "Dimensionless derivative of Gibbs function w.r.t. pi";
output Real gtau
"Dimensionless derivative of Gibbs function w.r.t. tau";
protected
Real[3] o "Vector of auxiliary variables";
algorithm
assert(p > 0.0,
"IF97 medium function g5pitau called with too low pressure\n" +
"p = " + String(p) + " Pa <= " + String(triple.ptriple) +
" Pa (triple point pressure)");
assert(p <= data.PLIMIT5,
"IF97 medium function g5pitau: input pressure (= " + String(p) +
" Pa) is higher than 10 MPa in region 5");
assert(T <= 2273.15,
"IF97 medium function g5pitau: input temperature (= " + String(T) +
" K) is higher than limit of 2273.15 K in region 5");
pi := p/data.PSTAR5;
tau := data.TSTAR5/T;
o[1] := tau*tau;
o[2] := o[1]*o[1];
o[3] := o[2]*o[2];
gtau := pi*(0.0021774678714571 - 0.013782846269973*o[1] + pi*(-0.0000357523455236121
*o[3] + 3.8757684869352e-7*o[1]*pi)) + (0.074415446800398 + tau*(-0.73803069960666
+ (3.1161318213925 + o[1]*(6.8540841634434 - 0.65923253077834*tau))*
tau))/o[2];
gpi := (1.0 + pi*(-0.00012563183589592 + (0.0021774678714571 -
0.004594282089991*o[1])*tau + pi*(-7.9449656719138e-6*o[3]*tau +
3.8757684869352e-7*o[1]*pi*tau)))/pi;
end g5pitau;
function f3deltatau "1st derivatives of f w.r.t. delta and tau"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature (K)";
output Real delta "Dimensionless density";
output Real tau "Dimensionless temperature";
output Real fdelta
"Dimensionless derivative of Helmholtz function w.r.t. delta";
output Real ftau
"Dimensionless derivative of Helmholtz function w.r.t. tau";
protected
Real[13] o "Vector of auxiliary variables";
algorithm
tau := data.TCRIT/T;
delta := if (d == data.DCRIT and T == data.TCRIT) then 1 + Modelica.Constants.eps
else d/data.DCRIT;
o[1] := tau*tau;
o[2] := o[1]*o[1];
o[3] := o[2]*o[2];
o[4] := o[3]*tau;
o[5] := o[1]*o[2]*o[3]*tau;
o[6] := o[2]*o[3];
o[7] := o[1]*o[3];
o[8] := o[3]*o[3];
o[9] := o[1]*o[2]*o[8];
o[10] := o[1]*o[2]*o[8]*tau;
o[11] := o[3]*o[8];
o[12] := o[1]*o[3]*o[8];
o[13] := o[3]*o[8]*tau;
fdelta := (1.0658070028513 + delta*(o[1]*(-1.2654315477714 + o[2]*(-1.1524407806681
+ (0.88521043984318 - 0.64207765181607*o[1])*o[4])) + delta*(
0.76986920373342 + o[1]*(-1.70429417648412 + o[2]*(9.7944563083754 +
(-6.100523451393 + (0.078841073758308 + 0.25116816848616*o[2])*o[5])*
tau)) + delta*(-0.8399798909613 + o[1]*(4.169939870838 + o[1]*(-6.056974507071
+ o[6]*(-0.0246442911521889 - 1.42788107204769*o[7]))) + delta*(
0.175936297894 + o[1]*(-1.77905741714956 + o[1]*(3.62288282878932 +
2.82089800351868*o[9])) + delta*(delta*(-0.133052405238576 + o[1]*(
0.565564509990552 + 0.98617670687766*o[11]) + delta*(-0.094523605689436
*o[1] + delta*(-0.118674762819776*o[12] + delta*(o[1]*(
0.00521306582652756 + 0.0290780142333399*o[11]) + delta*(
0.00080964802996215 - 0.000494162889679965*delta*o[12] -
0.0016557679795037*tau))))) + (0.5385256313166 + o[1]*(-1.6456811629477
- 2.5435531020579*o[10]))*tau))))))/delta;
ftau := 20.944396974307 + tau*(-15.3735415757432 + o[2]*tau*(
18.3301634515678 + o[1]*tau*(-28.08078114862 + o[1]*(14.4640436358204
- 0.194503669468755*o[1]*o[3]*tau)))) + delta*((-2.5308630955428 + o[
2]*(-6.9146446840086 + (13.2781565976477 - 10.9153200808732*o[1])*o[4]))
*tau + delta*(tau*(-1.70429417648412 + o[2]*(29.3833689251262 + (-21.3518320798755
+ (0.867251811341388 + 3.26518619032008*o[2])*o[5])*tau)) + delta*((
2.779959913892 + o[1]*(-8.075966009428 + o[6]*(-0.131436219478341 -
12.37496929108*o[7])))*tau + delta*((-0.88952870857478 + o[1]*(
3.62288282878932 + 18.3358370228714*o[9]))*tau + delta*(
0.10770512626332 + o[1]*(-0.98740869776862 - 13.2264761307011*o[10])
+ delta*((0.188521503330184 + 4.27343239646986*o[11])*tau + delta*(-0.027006744482696
*tau + delta*(-0.385692979164272*o[13] + delta*(delta*(-0.00016557679795037
- 0.00116802137560719*delta*o[13]) + (0.00115845907256168 +
0.0840031522296486*o[11])*tau)))))))));
end f3deltatau;
function tph1 "Inverse function for region 1: T(p,h)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
output SI.Temperature T "Temperature (K)";
protected
Real pi "Dimensionless pressure";
Real eta1 "Dimensionless specific enthalpy";
Real[3] o "Vector of auxiliary variables";
algorithm
assert(p > triple.ptriple,
"IF97 medium function tph1 called with too low pressure\n" + "p = "
+ String(p) + " Pa <= " + String(triple.ptriple) +
" Pa (triple point pressure)");
pi := p/data.PSTAR2;
eta1 := h/data.HSTAR1 + 1.0;
o[1] := eta1*eta1;
o[2] := o[1]*o[1];
o[3] := o[2]*o[2];
T := -238.724899245210 - 13.3917448726020*pi + eta1*(404.21188637945 +
43.211039183559*pi + eta1*(113.497468817180 - 54.010067170506*pi +
eta1*(30.5358922039160*pi + eta1*(-6.5964749423638*pi + o[1]*(-5.8457616048039
+ o[2]*(pi*(0.0093965400878363 + (-0.0000258586412820730 +
6.6456186191635e-8*pi)*pi) + o[2]*o[3]*(-0.000152854824131400 + o[1]*
o[3]*(-1.08667076953770e-6 + pi*(1.15736475053400e-7 + pi*(-4.0644363084799e-9
+ pi*(8.0670734103027e-11 + pi*(-9.3477771213947e-13 + (
5.8265442020601e-15 - 1.50201859535030e-17*pi)*pi))))))))))));
end tph1;
function tps1 "Inverse function for region 1: T(p,s)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
output SI.Temperature T "Temperature (K)";
protected
constant SI.Pressure pstar=1.0e6;
constant SI.SpecificEntropy sstar=1.0e3;
Real pi "Dimensionless pressure";
Real sigma1 "Dimensionless specific entropy";
Real[6] o "Vector of auxiliary variables";
algorithm
pi := p/pstar;
assert(p > triple.ptriple,
"IF97 medium function tps1 called with too low pressure\n" + "p = "
+ String(p) + " Pa <= " + String(triple.ptriple) +
" Pa (triple point pressure)");
sigma1 := s/sstar + 2.0;
o[1] := sigma1*sigma1;
o[2] := o[1]*o[1];
o[3] := o[2]*o[2];
o[4] := o[3]*o[3];
o[5] := o[4]*o[4];
o[6] := o[1]*o[2]*o[4];
T := 174.782680583070 + sigma1*(34.806930892873 + sigma1*(
6.5292584978455 + (0.33039981775489 + o[3]*(-1.92813829231960e-7 -
2.49091972445730e-23*o[2]*o[4]))*sigma1)) + pi*(-0.261076364893320 +
pi*(0.00056608900654837 + pi*(o[1]*o[3]*(2.64004413606890e-13 +
7.8124600459723e-29*o[6]) - 3.07321999036680e-31*o[5]*pi) + sigma1*(-0.00032635483139717
+ sigma1*(0.000044778286690632 + o[1]*o[2]*(-5.1322156908507e-10 -
4.2522657042207e-26*o[6])*sigma1))) + sigma1*(0.225929659815860 +
sigma1*(-0.064256463395226 + sigma1*(0.0078876289270526 + o[3]*sigma1
*(3.5672110607366e-10 + 1.73324969948950e-24*o[1]*o[4]*sigma1)))));
end tps1;
function tph2 "Reverse function for region 2: T(p,h)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
output SI.Temperature T "Temperature (K)";
protected
Real pi "Dimensionless pressure";
Real pi2b "Dimensionless pressure";
Real pi2c "Dimensionless pressure";
Real eta "Dimensionless specific enthalpy";
Real etabc "Dimensionless specific enthalpy";
Real eta2a "Dimensionless specific enthalpy";
Real eta2b "Dimensionless specific enthalpy";
Real eta2c "Dimensionless specific enthalpy";
Real[8] o "Vector of auxiliary variables";
algorithm
pi := p*data.IPSTAR;
eta := h*data.IHSTAR;
etabc := h*1.0e-3;
if (pi < 4.0) then
eta2a := eta - 2.1;
o[1] := eta2a*eta2a;
o[2] := o[1]*o[1];
o[3] := pi*pi;
o[4] := o[3]*o[3];
o[5] := o[3]*pi;
T := 1089.89523182880 + (1.84457493557900 - 0.0061707422868339*pi)*pi
+ eta2a*(849.51654495535 - 4.1792700549624*pi + eta2a*(-107.817480918260
+ (6.2478196935812 - 0.310780466295830*pi)*pi + eta2a*(
33.153654801263 - 17.3445631081140*pi + o[2]*(-7.4232016790248 + pi
*(-200.581768620960 + 11.6708730771070*pi) + o[1]*(271.960654737960
*pi + o[1]*(-455.11318285818*pi + eta2a*(1.38657242832260*o[4] + o[
1]*o[2]*(3091.96886047550*pi + o[1]*(11.7650487243560 + o[2]*(-13551.3342407750
*o[5] + o[2]*(-62.459855192507*o[3]*o[4]*pi + o[2]*(o[4]*(
235988.325565140 + 7399.9835474766*pi) + o[1]*(19127.7292396600*o[3]
*o[4] + o[1]*(o[3]*(1.28127984040460e8 - 551966.97030060*o[5]) + o[
1]*(-9.8554909623276e8*o[3] + o[1]*(2.82245469730020e9*o[3] + o[1]*
(o[3]*(-3.5948971410703e9 + 3.7154085996233e6*o[5]) + o[1]*pi*(
252266.403578720 + pi*(1.72273499131970e9 + pi*(1.28487346646500e7
+ (-1.31052365450540e7 - 415351.64835634*o[3])*pi))))))))))))))))))));
elseif (pi < (0.12809002730136e-03*etabc - 0.67955786399241)*etabc +
0.90584278514723e3) then
eta2b := eta - 2.6;
pi2b := pi - 2.0;
o[1] := pi2b*pi2b;
o[2] := o[1]*pi2b;
o[3] := o[1]*o[1];
o[4] := eta2b*eta2b;
o[5] := o[4]*o[4];
o[6] := o[4]*o[5];
o[7] := o[5]*o[5];
T := 1489.50410795160 + 0.93747147377932*pi2b + eta2b*(
743.07798314034 + o[2]*(0.000110328317899990 - 1.75652339694070e-18
*o[1]*o[3]) + eta2b*(-97.708318797837 + pi2b*(3.3593118604916 +
pi2b*(-0.0218107553247610 + pi2b*(0.000189552483879020 + (
2.86402374774560e-7 - 8.1456365207833e-14*o[2])*pi2b))) + o[5]*(
3.3809355601454*pi2b + o[4]*(-0.108297844036770*o[1] + o[5]*(
2.47424647056740 + (0.168445396719040 + o[1]*(0.00308915411605370
- 0.0000107798573575120*pi2b))*pi2b + o[6]*(-0.63281320016026 +
pi2b*(0.73875745236695 + (-0.046333324635812 + o[1]*(-0.000076462712454814
+ 2.82172816350400e-7*pi2b))*pi2b) + o[6]*(1.13859521296580 + pi2b
*(-0.47128737436186 + o[1]*(0.00135555045549490 + (
0.0000140523928183160 + 1.27049022719450e-6*pi2b)*pi2b)) + o[5]*(-0.47811863648625
+ (0.150202731397070 + o[2]*(-0.0000310838143314340 + o[1]*(-1.10301392389090e-8
- 2.51805456829620e-11*pi2b)))*pi2b + o[5]*o[7]*(
0.0085208123431544 + pi2b*(-0.00217641142197500 + pi2b*(
0.000071280351959551 + o[1]*(-1.03027382121030e-6 + (
7.3803353468292e-8 + 8.6934156344163e-15*o[3])*pi2b))))))))))));
else
eta2c := eta - 1.8;
pi2c := pi + 25.0;
o[1] := pi2c*pi2c;
o[2] := o[1]*o[1];
o[3] := o[1]*o[2]*pi2c;
o[4] := 1/o[3];
o[5] := o[1]*o[2];
o[6] := eta2c*eta2c;
o[7] := o[2]*o[2];
o[8] := o[6]*o[6];
T := eta2c*((859777.22535580 + o[1]*(482.19755109255 +
1.12615974072300e-12*o[5]))/o[1] + eta2c*((-5.8340131851590e11 + (
2.08255445631710e10 + 31081.0884227140*o[2])*pi2c)/o[5] + o[6]*(o[8]
*(o[6]*(1.23245796908320e-7*o[5] + o[6]*(-1.16069211309840e-6*o[5]
+ o[8]*(0.0000278463670885540*o[5] + (-0.00059270038474176*o[5] +
0.00129185829918780*o[5]*o[6])*o[8]))) - 10.8429848800770*pi2c) + o[
4]*(7.3263350902181e12 + o[7]*(3.7966001272486 + (-0.045364172676660
- 1.78049822406860e-11*o[2])*pi2c))))) + o[4]*(-3.2368398555242e12
+ pi2c*(3.5825089945447e11 + pi2c*(-1.07830682174700e10 + o[1]*
pi2c*(610747.83564516 + pi2c*(-25745.7236041700 + (1208.23158659360
+ 1.45591156586980e-13*o[5])*pi2c)))));
end if;
end tph2;
function tps2a "Reverse function for region 2a: T(p,s)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
output SI.Temperature T "Temperature (K)";
protected
Real[12] o "Vector of auxiliary variables";
constant Real IPSTAR=1.0e-6 "Scaling variable";
constant Real ISSTAR2A=1/2000.0 "Scaling variable";
Real pi "Dimensionless pressure";
Real sigma2a "Dimensionless specific entropy";
algorithm
pi := p*IPSTAR;
sigma2a := s*ISSTAR2A - 2.0;
o[1] := pi^0.5;
o[2] := sigma2a*sigma2a;
o[3] := o[2]*o[2];
o[4] := o[3]*o[3];
o[5] := o[4]*o[4];
o[6] := pi^0.25;
o[7] := o[2]*o[4]*o[5];
o[8] := 1/o[7];
o[9] := o[3]*sigma2a;
o[10] := o[2]*o[3]*sigma2a;
o[11] := o[3]*o[4]*sigma2a;
o[12] := o[2]*sigma2a;
T := ((-392359.83861984 + (515265.73827270 + o[3]*(40482.443161048 + o[
2]*o[3]*(-321.93790923902 + o[2]*(96.961424218694 - 22.8678463717730*
sigma2a))))*sigma2a)/(o[4]*o[5]) + o[6]*((-449429.14124357 + o[3]*(-5011.8336020166
+ 0.35684463560015*o[4]*sigma2a))/(o[2]*o[5]*sigma2a) + o[6]*(o[8]*(
44235.335848190 + o[9]*(-13673.3888117080 + o[3]*(421632.60207864 + (
22516.9258374750 + o[10]*(474.42144865646 - 149.311307976470*sigma2a))
*sigma2a))) + o[6]*((-197811.263204520 - 23554.3994707600*sigma2a)/(o[
2]*o[3]*o[4]*sigma2a) + o[6]*((-19070.6163020760 + o[11]*(
55375.669883164 + (3829.3691437363 - 603.91860580567*o[2])*o[3]))*o[8]
+ o[6]*((1936.31026203310 + o[2]*(4266.0643698610 + o[2]*o[3]*o[4]*(
-5978.0638872718 - 704.01463926862*o[9])))/(o[2]*o[4]*o[5]*sigma2a)
+ o[1]*((338.36784107553 + o[12]*(20.8627866351870 + (
0.033834172656196 - 0.000043124428414893*o[12])*o[3]))*sigma2a + o[6]
*(166.537913564120 + sigma2a*(-139.862920558980 + o[3]*(-0.78849547999872
+ (0.072132411753872 + o[3]*(-0.0059754839398283 + (-0.0000121413589539040
+ 2.32270967338710e-7*o[2])*o[3]))*sigma2a)) + o[6]*(-10.5384635661940
+ o[3]*(2.07189254965020 + (-0.072193155260427 + 2.07498870811200e-7
*o[4])*o[9]) + o[6]*(o[6]*(o[12]*(0.210375278936190 +
0.000256812397299990*o[3]*o[4]) + (-0.0127990029337810 -
8.2198102652018e-6*o[11])*o[6]*o[9]) + o[10]*(-0.0183406579113790 +
2.90362723486960e-7*o[2]*o[4]*sigma2a)))))))))))/(o[1]*pi);
end tps2a;
function tps2b "Reverse function for region 2b: T(p,s)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
output SI.Temperature T "Temperature (K)";
protected
Real[8] o "Vector of auxiliary variables";
constant Real IPSTAR=1.0e-6 "Scaling variable";
constant Real ISSTAR2B=1/785.3 "Scaling variable";
Real pi "Dimensionless pressure";
Real sigma2b "Dimensionless specific entropy";
algorithm
pi := p*IPSTAR;
sigma2b := 10.0 - s*ISSTAR2B;
o[1] := pi*pi;
o[2] := o[1]*o[1];
o[3] := sigma2b*sigma2b;
o[4] := o[3]*o[3];
o[5] := o[4]*o[4];
o[6] := o[3]*o[5]*sigma2b;
o[7] := o[3]*o[5];
o[8] := o[3]*sigma2b;
T := (316876.65083497 + 20.8641758818580*o[6] + pi*(-398593.99803599 -
21.8160585188770*o[6] + pi*(223697.851942420 + (-2784.17034458170 +
9.9207436071480*o[7])*sigma2b + pi*(-75197.512299157 + (
2970.86059511580 + o[7]*(-3.4406878548526 + 0.38815564249115*sigma2b))
*sigma2b + pi*(17511.2950857500 + sigma2b*(-1423.71128544490 + (
1.09438033641670 + 0.89971619308495*o[4])*o[4]*sigma2b) + pi*(-3375.9740098958
+ (471.62885818355 + o[4]*(-1.91882419936790 + o[8]*(
0.41078580492196 - 0.33465378172097*sigma2b)))*sigma2b + pi*(
1387.00347775050 + sigma2b*(-406.63326195838 + sigma2b*(
41.727347159610 + o[3]*(2.19325494345320 + sigma2b*(-1.03200500090770
+ (0.35882943516703 + 0.0052511453726066*o[8])*sigma2b)))) + pi*(
12.8389164507050 + sigma2b*(-2.86424372193810 + sigma2b*(
0.56912683664855 + (-0.099962954584931 + o[4]*(-0.0032632037778459 +
0.000233209225767230*sigma2b))*sigma2b)) + pi*(-0.153348098574500 + (
0.0290722882399020 + 0.00037534702741167*o[4])*sigma2b + pi*(
0.00172966917024110 + (-0.00038556050844504 - 0.000035017712292608*o[
3])*sigma2b + pi*(-0.0000145663936314920 + 5.6420857267269e-6*sigma2b
+ pi*(4.1286150074605e-8 + (-2.06846711188240e-8 +
1.64093936747250e-9*sigma2b)*sigma2b))))))))))))/(o[1]*o[2]);
end tps2b;
function tps2c "Reverse function for region 2c: T(p,s)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
output SI.Temperature T "Temperature (K)";
protected
constant Real IPSTAR=1.0e-6 "Scaling variable";
constant Real ISSTAR2C=1/2925.1 "Scaling variable";
Real pi "Dimensionless pressure";
Real sigma2c "Dimensionless specific entropy";
Real[3] o "Vector of auxiliary variables";
algorithm
pi := p*IPSTAR;
sigma2c := 2.0 - s*ISSTAR2C;
o[1] := pi*pi;
o[2] := sigma2c*sigma2c;
o[3] := o[2]*o[2];
T := (909.68501005365 + 2404.56670884200*sigma2c + pi*(-591.62326387130
+ pi*(541.45404128074 + sigma2c*(-270.983084111920 + (
979.76525097926 - 469.66772959435*sigma2c)*sigma2c) + pi*(
14.3992746047230 + (-19.1042042304290 + o[2]*(5.3299167111971 -
21.2529753759340*sigma2c))*sigma2c + pi*(-0.311473344137600 + (
0.60334840894623 - 0.042764839702509*sigma2c)*sigma2c + pi*(
0.0058185597255259 + (-0.0145970082847530 + 0.0056631175631027*o[3])*
sigma2c + pi*(-0.000076155864584577 + sigma2c*(0.000224403429193320
- 0.0000125610950134130*o[2]*sigma2c) + pi*(6.3323132660934e-7 + (-2.05419896753750e-6
+ 3.6405370390082e-8*sigma2c)*sigma2c + pi*(-2.97598977892150e-9 +
1.01366185297630e-8*sigma2c + pi*(5.9925719692351e-12 + sigma2c*(-2.06778701051640e-11
+ o[2]*(-2.08742781818860e-11 + (1.01621668250890e-10 -
1.64298282813470e-10*sigma2c)*sigma2c))))))))))))/o[1];
end tps2c;
function tps2 "Reverse function for region 2: T(p,s)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
output SI.Temperature T "Temperature (K)";
protected
Real pi "Dimensionless pressure";
constant SI.SpecificEntropy SLIMIT=5.85e3
"Subregion boundary specific entropy between regions 2a and 2b";
algorithm
if p < 4.0e6 then
T := tps2a(p, s);
elseif s > SLIMIT then
T := tps2b(p, s);
else
T := tps2c(p, s);
end if;
end tps2;
function tsat "Region 4 saturation temperature as a function of pressure"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.Temperature t_sat "Temperature";
protected
Real pi "Dimensionless pressure";
Real[20] o "Vector of auxiliary variables";
algorithm
assert(p > triple.ptriple,
"IF97 medium function tsat called with too low pressure\n" + "p = "
+ String(p) + " Pa <= " + String(triple.ptriple) +
" Pa (triple point pressure)");
// assert(p <= data.PCRIT,
// "tsat: input pressure is higher than the critical point pressure");
pi := min(p, data.PCRIT)*data.IPSTAR;
o[1] := pi^0.25;
o[2] := -3.2325550322333e6*o[1];
o[3] := pi^0.5;
o[4] := -724213.16703206*o[3];
o[5] := 405113.40542057 + o[2] + o[4];
o[6] := -17.0738469400920*o[1];
o[7] := 14.9151086135300 + o[3] + o[6];
o[8] := -4.0*o[5]*o[7];
o[9] := 12020.8247024700*o[1];
o[10] := 1167.05214527670*o[3];
o[11] := -4823.2657361591 + o[10] + o[9];
o[12] := o[11]*o[11];
o[13] := o[12] + o[8];
o[14] := o[13]^0.5;
o[15] := -o[14];
o[16] := -12020.8247024700*o[1];
o[17] := -1167.05214527670*o[3];
o[18] := 4823.2657361591 + o[15] + o[16] + o[17];
o[19] := 1/o[18];
o[20] := 2.0*o[19]*o[5];
t_sat := 0.5*(650.17534844798 + o[20] - (-4.0*(-0.238555575678490 +
1300.35069689596*o[19]*o[5]) + (650.17534844798 + o[20])^2.0)^0.5);
end tsat;
function dtsatofp "Derivative of saturation temperature w.r.t. pressure"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output Real dtsat(unit="K/Pa") "Derivative of T w.r.t. p";
protected
Real pi "Dimensionless pressure";
Real[49] o "Vector of auxiliary variables";
algorithm
pi := max(Modelica.Constants.small, p*data.IPSTAR);
o[1] := pi^0.75;
o[2] := 1/o[1];
o[3] := -4.268461735023*o[2];
o[4] := sqrt(pi);
o[5] := 1/o[4];
o[6] := 0.5*o[5];
o[7] := o[3] + o[6];
o[8] := pi^0.25;
o[9] := -3.2325550322333e6*o[8];
o[10] := -724213.16703206*o[4];
o[11] := 405113.40542057 + o[10] + o[9];
o[12] := -4*o[11]*o[7];
o[13] := -808138.758058325*o[2];
o[14] := -362106.58351603*o[5];
o[15] := o[13] + o[14];
o[16] := -17.073846940092*o[8];
o[17] := 14.91510861353 + o[16] + o[4];
o[18] := -4*o[15]*o[17];
o[19] := 3005.2061756175*o[2];
o[20] := 583.52607263835*o[5];
o[21] := o[19] + o[20];
o[22] := 12020.82470247*o[8];
o[23] := 1167.0521452767*o[4];
o[24] := -4823.2657361591 + o[22] + o[23];
o[25] := 2.0*o[21]*o[24];
o[26] := o[12] + o[18] + o[25];
o[27] := -4.0*o[11]*o[17];
o[28] := o[24]*o[24];
o[29] := o[27] + o[28];
o[30] := sqrt(o[29]);
o[31] := 1/o[30];
o[32] := (-o[30]);
o[33] := -12020.82470247*o[8];
o[34] := -1167.0521452767*o[4];
o[35] := 4823.2657361591 + o[32] + o[33] + o[34];
o[36] := o[30];
o[37] := -4823.2657361591 + o[22] + o[23] + o[36];
o[38] := o[37]*o[37];
o[39] := 1/o[38];
o[40] := -1.72207339365771*o[30];
o[41] := 21592.2055343628*o[8];
o[42] := o[30]*o[8];
o[43] := -8192.87114842946*o[4];
o[44] := -0.510632954559659*o[30]*o[4];
o[45] := -3100.02526152368*o[1];
o[46] := pi;
o[47] := 1295.95640782102*o[46];
o[48] := 2862.09212505088 + o[40] + o[41] + o[42] + o[43] + o[44] + o[
45] + o[47];
o[49] := 1/(o[35]*o[35]);
dtsat := data.IPSTAR*0.5*((2.0*o[15])/o[35] - 2.*o[11]*(-3005.2061756175
*o[2] - 0.5*o[26]*o[31] - 583.52607263835*o[5])*o[49] - (
20953.46356643991*(o[39]*(1295.95640782102 + 5398.05138359071*o[2] +
0.25*o[2]*o[30] - 0.861036696828853*o[26]*o[31] - 0.255316477279829*o[
26]*o[31]*o[4] - 4096.43557421473*o[5] - 0.255316477279829*o[30]*o[5]
- 2325.01894614276/o[8] + 0.5*o[26]*o[31]*o[8]) - 2.0*(o[19] + o[20]
+ 0.5*o[26]*o[31])*o[48]*o[37]^(-3)))/sqrt(o[39]*o[48]));
end dtsatofp;
function tsat_der "Derivative function for tsat"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.PressureSlope der_p "Pressure derivative";
output SI.TemperatureSlope der_tsat "Temperature derivative";
protected
Real dtp;
algorithm
dtp := dtsatofp(p);
der_tsat := dtp*der_p;
end tsat_der;
function psat "Region 4 saturation pressure as a function of temperature"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature (K)";
output SI.Pressure p_sat "Pressure";
protected
Real[8] o "Vector of auxiliary variables";
Real Tlim=min(T, data.TCRIT);
algorithm
assert(T >= 273.16, "IF97 medium function psat: input temperature (= "
+ String(triple.Ttriple) + " K).\n" +
"lower than the triple point temperature 273.16 K");
o[1] := -650.17534844798 + Tlim;
o[2] := 1/o[1];
o[3] := -0.238555575678490*o[2];
o[4] := o[3] + Tlim;
o[5] := -4823.2657361591*o[4];
o[6] := o[4]*o[4];
o[7] := 14.9151086135300*o[6];
o[8] := 405113.40542057 + o[5] + o[7];
p_sat := 16.0e6*o[8]*o[8]*o[8]*o[8]*1/(3.2325550322333e6 -
12020.8247024700*o[4] + 17.0738469400920*o[6] + sqrt(-4.0*(-724213.16703206
+ 1167.05214527670*o[4] + o[6])*o[8] + (-3.2325550322333e6 +
12020.8247024700*o[4] - 17.0738469400920*o[6])^2.0))^4.0;
end psat;
function dptofT
"Derivative of pressure w.r.t. temperature along the saturation pressure curve"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature (K)";
output Real dpt(unit="Pa/K") "Temperature derivative of pressure";
protected
Real[31] o "Vector of auxiliary variables";
Real Tlim "Temperature limited to TCRIT";
algorithm
Tlim := min(T, data.TCRIT);
o[1] := -650.17534844798 + Tlim;
o[2] := 1/o[1];
o[3] := -0.238555575678490*o[2];
o[4] := o[3] + Tlim;
o[5] := -4823.2657361591*o[4];
o[6] := o[4]*o[4];
o[7] := 14.9151086135300*o[6];
o[8] := 405113.40542057 + o[5] + o[7];
o[9] := o[8]*o[8];
o[10] := o[9]*o[9];
o[11] := o[1]*o[1];
o[12] := 1/o[11];
o[13] := 0.238555575678490*o[12];
o[14] := 1.00000000000000 + o[13];
o[15] := 12020.8247024700*o[4];
o[16] := -17.0738469400920*o[6];
o[17] := -3.2325550322333e6 + o[15] + o[16];
o[18] := -4823.2657361591*o[14];
o[19] := 29.8302172270600*o[14]*o[4];
o[20] := o[18] + o[19];
o[21] := 1167.05214527670*o[4];
o[22] := -724213.16703206 + o[21] + o[6];
o[23] := o[17]*o[17];
o[24] := -4.0000000000000*o[22]*o[8];
o[25] := o[23] + o[24];
o[26] := sqrt(o[25]);
o[27] := -12020.8247024700*o[4];
o[28] := 17.0738469400920*o[6];
o[29] := 3.2325550322333e6 + o[26] + o[27] + o[28];
o[30] := o[29]*o[29];
o[31] := o[30]*o[30];
dpt := 1e6*((-64.0*o[10]*(-12020.8247024700*o[14] + 34.147693880184*o[
14]*o[4] + (0.5*(-4.0*o[20]*o[22] + 2.00000000000000*o[17]*(
12020.8247024700*o[14] - 34.147693880184*o[14]*o[4]) - 4.0*(
1167.05214527670*o[14] + 2.0*o[14]*o[4])*o[8]))/o[26]))/(o[29]*o[31])
+ (64.*o[20]*o[8]*o[9])/o[31]);
end dptofT;
function psat_der "Derivative function for psat"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature (K)";
input SI.TemperatureSlope der_T "Temperature derivative";
output SI.PressureSlope der_psat "Pressure derivative";
protected
Real dpt;
algorithm
dpt := dptofT(T);
der_psat := dpt*der_T;
end psat_der;
// Inverses p_hs from the 2001 addition to IAPWS97
function p1_hs
"Pressure as a function of enthalpy and entropy in region 1"
extends Modelica.Icons.Function;
input SI.SpecificEnthalpy h "Specific enthalpy";
input SI.SpecificEntropy s "Specific entropy";
output SI.Pressure p "Pressure";
protected
constant Real[:] n={-0.691997014660582,-0.183612548787560e2,-0.928332409297335e1,
0.659639569909906e2,-0.162060388912024e2,0.450620017338667e3,
0.854680678224170e3,0.607523214001162e4,0.326487682621856e2,-0.269408844582931e2,
-0.319947848334300e3,-0.928354307043320e3,0.303634537455249e2,-0.650540422444146e2,
-0.430991316516130e4,-0.747512324096068e3,0.730000345529245e3,
0.114284032569021e4,-0.436407041874559e3};
constant Real[:] I={0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,5};
constant Real[:] J={0,1,2,4,5,6,8,14,0,1,4,6,0,1,10,4,1,4,0};
constant SI.SpecificEnthalpy hstar=3400e3 "Normalization enthalpy";
constant SI.Pressure pstar=100e6 "Normalization pressure";
constant SI.SpecificEntropy sstar=7.6e3 "Normalization entropy";
Real eta=h/hstar "Normalized specific enthalpy";
Real sigma=s/sstar "Normalized specific entropy";
algorithm
p := sum(n[i]*(eta + 0.05)^I[i]*(sigma + 0.05)^J[i] for i in 1:19)*
pstar;
end p1_hs;
function h2ab_s "Boundary between regions 2a and 2b"
extends Modelica.Icons.Function;
output SI.SpecificEnthalpy h "Enthalpy";
input SI.SpecificEntropy s "Entropy";
protected
constant Real[:] n={-0.349898083432139e4,0.257560716905876e4,-0.421073558227969e3,
0.276349063799944e2};
constant SI.SpecificEnthalpy hstar=1e3 "Normalization enthalpy";
constant SI.SpecificEntropy sstar=1e3 "Normalization entropy";
Real sigma=s/sstar "Normalized specific entropy";
algorithm
h := (n[1] + n[2]*sigma + n[3]*sigma^2 + n[4]*sigma^3)*hstar;
end h2ab_s;
function p2a_hs
"Pressure as a function of enthalpy and entropy in subregion 2a"
extends Modelica.Icons.Function;
input SI.SpecificEnthalpy h "Specific enthalpy";
input SI.SpecificEntropy s "Specific entropy";
output SI.Pressure p "Pressure";
protected
constant Real[:] n={-0.182575361923032e-1,-0.125229548799536,
0.592290437320145,0.604769706185122e1,0.238624965444474e3,-0.298639090222922e3,
0.512250813040750e-1,-0.437266515606486,0.413336902999504,-0.516468254574773e1,
-0.557014838445711e1,0.128555037824478e2,0.114144108953290e2,-0.119504225652714e3,
-0.284777985961560e4,0.431757846408006e4,0.112894040802650e1,
0.197409186206319e4,0.151612444706087e4,0.141324451421235e-1,
0.585501282219601,-0.297258075863012e1,0.594567314847319e1,-0.623656565798905e4,
0.965986235133332e4,0.681500934948134e1,-0.633207286824489e4,-0.558919224465760e1,
0.400645798472063e-1};
constant Real[:] I={0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,5,
5,6,7};
constant Real[:] J={1,3,6,16,20,22,0,1,2,3,5,6,10,16,20,22,3,16,20,0,2,
3,6,16,16,3,16,3,1};
constant SI.SpecificEnthalpy hstar=4200e3 "Normalization enthalpy";
constant SI.Pressure pstar=4e6 "Normalization pressure";
constant SI.SpecificEntropy sstar=12e3 "Normalization entropy";
Real eta=h/hstar "Normalized specific enthalpy";
Real sigma=s/sstar "Normalized specific entropy";
algorithm
p := sum(n[i]*(eta - 0.5)^I[i]*(sigma - 1.2)^J[i] for i in 1:29)^4*
pstar;
end p2a_hs;
function p2b_hs
"Pressure as a function of enthalpy and entropy in subregion 2a"
extends Modelica.Icons.Function;
input SI.SpecificEnthalpy h "Specific enthalpy";
input SI.SpecificEntropy s "Specific entropy";
output SI.Pressure p "Pressure";
protected
constant Real[:] n={0.801496989929495e-1,-0.543862807146111,
0.337455597421283,0.890555451157450e1,0.313840736431485e3,
0.797367065977789,-0.121616973556240e1,0.872803386937477e1,-0.169769781757602e2,
-0.186552827328416e3,0.951159274344237e5,-0.189168510120494e2,-0.433407037194840e4,
0.543212633012715e9,0.144793408386013,0.128024559637516e3,-0.672309534071268e5,
0.336972380095287e8,-0.586634196762720e3,-0.221403224769889e11,
0.171606668708389e4,-0.570817595806302e9,-0.312109693178482e4,-0.207841384633010e7,
0.305605946157786e13,0.322157004314333e4,0.326810259797295e12,-0.144104158934487e4,
0.410694867802691e3,0.109077066873024e12,-0.247964654258893e14,
0.188801906865134e10,-0.123651009018773e15};
constant Real[:] I={0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,5,5,6,6,6,7,
7,8,8,8,8,12,14};
constant Real[:] J={0,1,2,4,8,0,1,2,3,5,12,1,6,18,0,1,7,12,1,16,1,12,1,
8,18,1,16,1,3,14,18,10,16};
constant SI.SpecificEnthalpy hstar=4100e3 "Normalization enthalpy";
constant SI.Pressure pstar=100e6 "Normalization pressure";
constant SI.SpecificEntropy sstar=7.9e3 "Normalization entropy";
Real eta=h/hstar "Normalized specific enthalpy";
Real sigma=s/sstar "Normalized specific entropy";
algorithm
p := sum(n[i]*(eta - 0.6)^I[i]*(sigma - 1.01)^J[i] for i in 1:33)^4*
pstar;
end p2b_hs;
function p2c_hs
"Pressure as a function of enthalpy and entropy in subregion 2c"
extends Modelica.Icons.Function;
input SI.SpecificEnthalpy h "Specific enthalpy";
input SI.SpecificEntropy s "Specific entropy";
output SI.Pressure p "Pressure";
protected
constant Real[:] n={0.112225607199012,-0.339005953606712e1,-0.320503911730094e2,
-0.197597305104900e3,-0.407693861553446e3,0.132943775222331e5,
0.170846839774007e1,0.373694198142245e2,0.358144365815434e4,
0.423014446424664e6,-0.751071025760063e9,0.523446127607898e2,-0.228351290812417e3,
-0.960652417056937e6,-0.807059292526074e8,0.162698017225669e13,
0.772465073604171,0.463929973837746e5,-0.137317885134128e8,
0.170470392630512e13,-0.251104628187308e14,0.317748830835520e14,
0.538685623675312e2,-0.553089094625169e5,-0.102861522421405e7,
0.204249418756234e13,0.273918446626977e9,-0.263963146312685e16,-0.107890854108088e10,
-0.296492620980124e11,-0.111754907323424e16};
constant Real[:] I={0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,5,5,5,5,
6,6,10,12,16};
constant Real[:] J={0,1,2,3,4,8,0,2,5,8,14,2,3,7,10,18,0,5,8,16,18,18,1,
4,6,14,8,18,7,7,10};
constant SI.SpecificEnthalpy hstar=3500e3 "Normalization enthalpy";
constant SI.Pressure pstar=100e6 "Normalization pressure";
constant SI.SpecificEntropy sstar=5.9e3 "Normalization entropy";
Real eta=h/hstar "Normalized specific enthalpy";
Real sigma=s/sstar "Normalized specific entropy";
algorithm
p := sum(n[i]*(eta - 0.7)^I[i]*(sigma - 1.1)^J[i] for i in 1:31)^4*
pstar;
end p2c_hs;
// Inverses from the 2003 additions to IF97
function h3ab_p "Region 3 a b boundary for pressure/enthalpy"
extends Modelica.Icons.Function;
output SI.SpecificEnthalpy h "Enthalpy";
input SI.Pressure p "Pressure";
protected
constant Real[:] n={0.201464004206875e4,0.374696550136983e1,-0.219921901054187e-1,
0.875131686009950e-4};
constant SI.SpecificEnthalpy hstar=1000 "Normalization enthalpy";
constant SI.Pressure pstar=1e6 "Normalization pressure";
Real pi=p/pstar "Normalized specific pressure";
algorithm
h := (n[1] + n[2]*pi + n[3]*pi^2 + n[4]*pi^3)*hstar;
end h3ab_p;
function T3a_ph "Region 3 a: inverse function T(p,h)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
output SI.Temperature T "Temperature";
protected
constant Real[:] n={-0.133645667811215e-6,0.455912656802978e-5,-0.146294640700979e-4,
0.639341312970080e-2,0.372783927268847e3,-0.718654377460447e4,
0.573494752103400e6,-0.267569329111439e7,-0.334066283302614e-4,-0.245479214069597e-1,
0.478087847764996e2,0.764664131818904e-5,0.128350627676972e-2,
0.171219081377331e-1,-0.851007304583213e1,-0.136513461629781e-1,-0.384460997596657e-5,
0.337423807911655e-2,-0.551624873066791,0.729202277107470,-0.992522757376041e-2,
-0.119308831407288,0.793929190615421,0.454270731799386,
0.209998591259910,-0.642109823904738e-2,-0.235155868604540e-1,
0.252233108341612e-2,-0.764885133368119e-2,0.136176427574291e-1,-0.133027883575669e-1};
constant Real[:] I={-12,-12,-12,-12,-12,-12,-12,-12,-10,-10,-10,-8,-8,-8,
-8,-5,-3,-2,-2,-2,-1,-1,0,0,1,3,3,4,4,10,12};
constant Real[:] J={0,1,2,6,14,16,20,22,1,5,12,0,2,4,10,2,0,1,3,4,0,2,0,
1,1,0,1,0,3,4,5};
constant SI.SpecificEnthalpy hstar=2300e3 "Normalization enthalpy";
constant SI.Pressure pstar=100e6 "Normalization pressure";
constant SI.Temperature Tstar=760 "Normalization temperature";
Real pi=p/pstar "Normalized specific pressure";
Real eta=h/hstar "Normalized specific enthalpy";
algorithm
T := sum(n[i]*(pi + 0.240)^I[i]*(eta - 0.615)^J[i] for i in 1:31)*Tstar;
end T3a_ph;
function T3b_ph "Region 3 b: inverse function T(p,h)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
output SI.Temperature T "Temperature";
protected
constant Real[:] n={0.323254573644920e-4,-0.127575556587181e-3,-0.475851877356068e-3,
0.156183014181602e-2,0.105724860113781,-0.858514221132534e2,
0.724140095480911e3,0.296475810273257e-2,-0.592721983365988e-2,-0.126305422818666e-1,
-0.115716196364853,0.849000969739595e2,-0.108602260086615e-1,
0.154304475328851e-1,0.750455441524466e-1,0.252520973612982e-1,-0.602507901232996e-1,
-0.307622221350501e1,-0.574011959864879e-1,0.503471360939849e1,-0.925081888584834,
0.391733882917546e1,-0.773146007130190e2,0.949308762098587e4,-0.141043719679409e7,
0.849166230819026e7,0.861095729446704,0.323346442811720,
0.873281936020439,-0.436653048526683,0.286596714529479,-0.131778331276228,
0.676682064330275e-2};
constant Real[:] I={-12,-12,-10,-10,-10,-10,-10,-8,-8,-8,-8,-8,-6,-6,-6,
-4,-4,-3,-2,-2,-1,-1,-1,-1,-1,-1,0,0,1,3,5,6,8};
constant Real[:] J={0,1,0,1,5,10,12,0,1,2,4,10,0,1,2,0,1,5,0,4,2,4,6,10,
14,16,0,2,1,1,1,1,1};
constant SI.Temperature Tstar=860 "Normalization temperature";
constant SI.Pressure pstar=100e6 "Normalization pressure";
constant SI.SpecificEnthalpy hstar=2800e3 "Normalization enthalpy";
Real pi=p/pstar "Normalized specific pressure";
Real eta=h/hstar "Normalized specific enthalpy";
algorithm
T := sum(n[i]*(pi + 0.298)^I[i]*(eta - 0.720)^J[i] for i in 1:33)*Tstar;
end T3b_ph;
function v3a_ph "Region 3 a: inverse function v(p,h)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
output SI.SpecificVolume v "Specific volume";
protected
constant Real[:] n={0.529944062966028e-2,-0.170099690234461,
0.111323814312927e2,-0.217898123145125e4,-0.506061827980875e-3,
0.556495239685324,-0.943672726094016e1,-0.297856807561527,
0.939353943717186e2,0.192944939465981e-1,0.421740664704763,-0.368914126282330e7,
-0.737566847600639e-2,-0.354753242424366,-0.199768169338727e1,
0.115456297059049e1,0.568366875815960e4,0.808169540124668e-2,
0.172416341519307,0.104270175292927e1,-0.297691372792847,
0.560394465163593,0.275234661176914,-0.148347894866012,-0.651142513478515e-1,
-0.292468715386302e1,0.664876096952665e-1,0.352335014263844e1,-0.146340792313332e-1,
-0.224503486668184e1,0.110533464706142e1,-0.408757344495612e-1};
constant Real[:] I={-12,-12,-12,-12,-10,-10,-10,-8,-8,-6,-6,-6,-4,-4,-3,
-2,-2,-1,-1,-1,-1,0,0,1,1,1,2,2,3,4,5,8};
constant Real[:] J={6,8,12,18,4,7,10,5,12,3,4,22,2,3,7,3,16,0,1,2,3,0,1,
0,1,2,0,2,0,2,2,2};
constant SI.Volume vstar=0.0028 "Normalization temperature";
constant SI.Pressure pstar=100e6 "Normalization pressure";
constant SI.SpecificEnthalpy hstar=2100e3 "Normalization enthalpy";
Real pi=p/pstar "Normalized specific pressure";
Real eta=h/hstar "Normalized specific enthalpy";
algorithm
v := sum(n[i]*(pi + 0.128)^I[i]*(eta - 0.727)^J[i] for i in 1:32)*vstar;
end v3a_ph;
function v3b_ph "Region 3 b: inverse function v(p,h)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
output SI.SpecificVolume v "Specific volume";
protected
constant Real[:] n={-0.225196934336318e-8,0.140674363313486e-7,
0.233784085280560e-5,-0.331833715229001e-4,0.107956778514318e-2,-0.271382067378863,
0.107202262490333e1,-0.853821329075382,-0.215214194340526e-4,
0.769656088222730e-3,-0.431136580433864e-2,0.453342167309331,-0.507749535873652,
-0.100475154528389e3,-0.219201924648793,-0.321087965668917e1,
0.607567815637771e3,0.557686450685932e-3,0.187499040029550,
0.905368030448107e-2,0.285417173048685,0.329924030996098e-1,
0.239897419685483,0.482754995951394e1,-0.118035753702231e2,
0.169490044091791,-0.179967222507787e-1,0.371810116332674e-1,-0.536288335065096e-1,
0.160697101092520e1};
constant Real[:] I={-12,-12,-8,-8,-8,-8,-8,-8,-6,-6,-6,-6,-6,-6,-4,-4,-4,
-3,-3,-2,-2,-1,-1,-1,-1,0,1,1,2,2};
constant Real[:] J={0,1,0,1,3,6,7,8,0,1,2,5,6,10,3,6,10,0,2,1,2,0,1,4,5,
0,0,1,2,6};
constant SI.Volume vstar=0.0088 "Normalization temperature";
constant SI.Pressure pstar=100e6 "Normalization pressure";
constant SI.SpecificEnthalpy hstar=2800e3 "Normalization enthalpy";
Real pi=p/pstar "Normalized specific pressure";
Real eta=h/hstar "Normalized specific enthalpy";
algorithm
v := sum(n[i]*(pi + 0.0661)^I[i]*(eta - 0.720)^J[i] for i in 1:30)*
vstar;
end v3b_ph;
function T3a_ps "Region 3 a: inverse function T(p,s)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
output SI.Temperature T "Temperature";
protected
constant Real[:] n={0.150042008263875e10,-0.159397258480424e12,
0.502181140217975e-3,-0.672057767855466e2,0.145058545404456e4,-0.823889534888890e4,
-0.154852214233853,0.112305046746695e2,-0.297000213482822e2,
0.438565132635495e11,0.137837838635464e-2,-0.297478527157462e1,
0.971777947349413e13,-0.571527767052398e-4,0.288307949778420e5,-0.744428289262703e14,
0.128017324848921e2,-0.368275545889071e3,0.664768904779177e16,
0.449359251958880e-1,-0.422897836099655e1,-0.240614376434179,-0.474341365254924e1,
0.724093999126110,0.923874349695897,0.399043655281015e1,
0.384066651868009e-1,-0.359344365571848e-2,-0.735196448821653,
0.188367048396131,0.141064266818704e-3,-0.257418501496337e-2,
0.123220024851555e-2};
constant Real[:] I={-12,-12,-10,-10,-10,-10,-8,-8,-8,-8,-6,-6,-6,-5,-5,
-5,-4,-4,-4,-2,-2,-1,-1,0,0,0,1,2,2,3,8,8,10};
constant Real[:] J={28,32,4,10,12,14,5,7,8,28,2,6,32,0,14,32,6,10,36,1,
4,1,6,0,1,4,0,0,3,2,0,1,2};
constant SI.Temperature Tstar=760 "Normalization temperature";
constant SI.Pressure pstar=100e6 "Normalization pressure";
constant SI.SpecificEntropy sstar=4.4e3 "Normalization entropy";
Real pi=p/pstar "Normalized specific pressure";
Real sigma=s/sstar "Normalized specific entropy";
algorithm
T := sum(n[i]*(pi + 0.240)^I[i]*(sigma - 0.703)^J[i] for i in 1:33)*
Tstar;
end T3a_ps;
function T3b_ps "Region 3 b: inverse function T(p,s)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
output SI.Temperature T "Temperature";
protected
constant Real[:] n={0.527111701601660,-0.401317830052742e2,
0.153020073134484e3,-0.224799398218827e4,-0.193993484669048,-0.140467557893768e1,
0.426799878114024e2,0.752810643416743,0.226657238616417e2,-0.622873556909932e3,
-0.660823667935396,0.841267087271658,-0.253717501764397e2,
0.485708963532948e3,0.880531517490555e3,0.265015592794626e7,-0.359287150025783,
-0.656991567673753e3,0.241768149185367e1,0.856873461222588,
0.655143675313458,-0.213535213206406,0.562974957606348e-2,-0.316955725450471e15,
-0.699997000152457e-3,0.119845803210767e-1,0.193848122022095e-4,-0.215095749182309e-4};
constant Real[:] I={-12,-12,-12,-12,-8,-8,-8,-6,-6,-6,-5,-5,-5,-5,-5,-4,
-3,-3,-2,0,2,3,4,5,6,8,12,14};
constant Real[:] J={1,3,4,7,0,1,3,0,2,4,0,1,2,4,6,12,1,6,2,0,1,1,0,24,0,
3,1,2};
constant SI.Temperature Tstar=860 "Normalization temperature";
constant SI.Pressure pstar=100e6 "Normalization pressure";
constant SI.SpecificEntropy sstar=5.3e3 "Normalization entropy";
Real pi=p/pstar "Normalized specific pressure";
Real sigma=s/sstar "Normalized specific entropy";
algorithm
T := sum(n[i]*(pi + 0.760)^I[i]*(sigma - 0.818)^J[i] for i in 1:28)*
Tstar;
end T3b_ps;
function v3a_ps "Region 3 a: inverse function v(p,s)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
output SI.SpecificVolume v "Specific volume";
protected
constant Real[:] n={0.795544074093975e2,-0.238261242984590e4,
0.176813100617787e5,-0.110524727080379e-2,-0.153213833655326e2,
0.297544599376982e3,-0.350315206871242e8,0.277513761062119,-0.523964271036888,
-0.148011182995403e6,0.160014899374266e7,0.170802322663427e13,
0.246866996006494e-3,0.165326084797980e1,-0.118008384666987,
0.253798642355900e1,0.965127704669424,-0.282172420532826e2,
0.203224612353823,0.110648186063513e1,0.526127948451280,
0.277000018736321,0.108153340501132e1,-0.744127885357893e-1,
0.164094443541384e-1,-0.680468275301065e-1,0.257988576101640e-1,-0.145749861944416e-3};
constant Real[:] I={-12,-12,-12,-10,-10,-10,-10,-8,-8,-8,-8,-6,-5,-4,-3,
-3,-2,-2,-1,-1,0,0,0,1,2,4,5,6};
constant Real[:] J={10,12,14,4,8,10,20,5,6,14,16,28,1,5,2,4,3,8,1,2,0,1,
3,0,0,2,2,0};
constant SI.Volume vstar=0.0028 "Normalization temperature";
constant SI.Pressure pstar=100e6 "Normalization pressure";
constant SI.SpecificEntropy sstar=4.4e3 "Normalization entropy";
Real pi=p/pstar "Normalized specific pressure";
Real sigma=s/sstar "Normalized specific entropy";
algorithm
v := sum(n[i]*(pi + 0.187)^I[i]*(sigma - 0.755)^J[i] for i in 1:28)*
vstar;
end v3a_ps;
function v3b_ps "Region 3 b: inverse function v(p,s)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
output SI.SpecificVolume v "Specific volume";
protected
constant Real[:] n={0.591599780322238e-4,-0.185465997137856e-2,
0.104190510480013e-1,0.598647302038590e-2,-0.771391189901699,
0.172549765557036e1,-0.467076079846526e-3,0.134533823384439e-1,-0.808094336805495e-1,
0.508139374365767,0.128584643361683e-2,-0.163899353915435e1,
0.586938199318063e1,-0.292466667918613e1,-0.614076301499537e-2,
0.576199014049172e1,-0.121613320606788e2,0.167637540957944e1,-0.744135838773463e1,
0.378168091437659e-1,0.401432203027688e1,0.160279837479185e2,
0.317848779347728e1,-0.358362310304853e1,-0.115995260446827e7,
0.199256573577909,-0.122270624794624,-0.191449143716586e2,-0.150448002905284e-1,
0.146407900162154e2,-0.327477787188230e1};
constant Real[:] I={-12,-12,-12,-12,-12,-12,-10,-10,-10,-10,-8,-5,-5,-5,
-4,-4,-4,-4,-3,-2,-2,-2,-2,-2,-2,0,0,0,1,1,2};
constant Real[:] J={0,1,2,3,5,6,0,1,2,4,0,1,2,3,0,1,2,3,1,0,1,2,3,4,12,
0,1,2,0,2,2};
constant SI.Volume vstar=0.0088 "Normalization temperature";
constant SI.Pressure pstar=100e6 "Normalization pressure";
constant SI.SpecificEntropy sstar=5.3e3 "Normalization entropy";
Real pi=p/pstar "Normalized specific pressure";
Real sigma=s/sstar "Normalized specific entropy";
algorithm
v := sum(n[i]*(pi + 0.298)^I[i]*(sigma - 0.816)^J[i] for i in 1:31)*
vstar;
end v3b_ps;
end Basic;
package IceBoundaries
"The melting line and sublimation line curves from IAPWS"
extends Modelica.Icons.FunctionsPackage;
function pmIceI_T
"Melting pressure of ice I (temperature range from 273.16 to 251.165 K)"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature";
output SI.Pressure pm
"Melting pressure of iceI(for T from 273.16 to 251.165 K)";
protected
constant SI.Temperature Tn=273.16 "Normalization temperature";
constant SI.Pressure pn=611.657 "Normalization pressure";
Real sigma=T/Tn "Normalized temperature";
algorithm
pm := (1 - 0.626000e6*(1 - sigma^(-3)) + 0.197135e6*(1 - sigma^(21.2)))
*pn;
end pmIceI_T;
function pmIceIII_T
"Melting pressure of ice III (temperature range from 251.165 to 256.164 K)"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature";
output SI.Pressure pm
"Melting pressure of iceIII(for T from 251.165 to 256.164 K)";
protected
constant SI.Temperature Tn=251.165 "Normalization temperature";
constant SI.Pressure pn=209.9e6 "Normalization pressure";
Real sigma=T/Tn "Normalized temperature";
algorithm
pm := (1 - 0.295252*(1 - sigma^60))*pn;
end pmIceIII_T;
function pmIceV_T
"Melting pressure of ice V (temperature range from 256.164 to 273.31 K)"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature";
output SI.Pressure pm
"Melting pressure of iceV(for T from 256.164 to 273.31 K)";
protected
constant SI.Temperature Tn=256.164 "Normalization temperature";
constant SI.Pressure pn=350.1e6 "Normalization pressure";
Real sigma=T/Tn "Normalized temperature";
algorithm
pm := (1 - 1.18721*(1 - sigma^8))*pn;
end pmIceV_T;
function sublimationPressure_T
"Sublimation pressure, valid from 190 to 273.16 K"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature";
output SI.Pressure psubl
"Sublimation pressure (for T from 190 to 273.16)";
protected
constant SI.Temperature Tn=273.16 "Normalization temperature";
constant SI.Pressure pn=611.657 "Normalization pressure";
constant Real[2] a={-13.9281690,34.7078238} "Constant values";
Real sigma=T/Tn "Normalized temperature";
algorithm
psubl := Modelica.Math.exp(a[1]*(1 - sigma^(-1.5)) + a[2]*(1 - sigma^(-1.25)))
*pn;
end sublimationPressure_T;
end IceBoundaries;
package Transport "Transport properties for water according to IAPWS/IF97"
extends Modelica.Icons.FunctionsPackage;
function visc_dTp "Dynamic viscosity eta(d,T,p), industrial formulation"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature (K)";
input SI.Pressure p "Pressure (only needed for region of validity)";
input Integer phase=0
"2 for two-phase, 1 for one-phase, 0 if not known (unused)";
input Boolean checkLimits=true "Check if inputs d,T,P are in region of validity";
output SI.DynamicViscosity eta "Dynamic viscosity";
protected
constant Real n0=1.0 "Viscosity coefficient";
constant Real n1=0.978197 "Viscosity coefficient";
constant Real n2=0.579829 "Viscosity coefficient";
constant Real n3=-0.202354 "Viscosity coefficient";
constant Real[42] nn=array(
0.5132047,
0.3205656,
0.0,
0.0,
-0.7782567,
0.1885447,
0.2151778,
0.7317883,
1.241044,
1.476783,
0.0,
0.0,
-0.2818107,
-1.070786,
-1.263184,
0.0,
0.0,
0.0,
0.1778064,
0.460504,
0.2340379,
-0.4924179,
0.0,
0.0,
-0.0417661,
0.0,
0.0,
0.1600435,
0.0,
0.0,
0.0,
-0.01578386,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
-0.003629481,
0.0,
0.0) "Viscosity coefficients";
constant SI.Density rhostar=317.763 "Scaling density";
constant SI.DynamicViscosity etastar=55.071e-6 "Scaling viscosity";
constant SI.Temperature tstar=647.226 "Scaling temperature";
Integer i "Auxiliary variable";
Integer j "Auxiliary variable";
Real delta "Dimensionless density";
Real deltam1 "Dimensionless density";
Real tau "Dimensionless temperature";
Real taum1 "Dimensionless temperature";
Real Psi0 "Auxiliary variable";
Real Psi1 "Auxiliary variable";
Real tfun "Auxiliary variable";
Real rhofun "Auxiliary variable";
Real Tc=T - 273.15 "Celsius temperature for region check";
algorithm
// if phase == 0 then
// region := BaseIF97.Regions.region_dT(d,T,0);
// end if;
// if phase == 2 then
// region := 4;
// end if;
// assert(phase <> 2, "Viscosity can not be computed for two-phase states");
delta := d/rhostar;
if checkLimits then
assert(d > triple.dvtriple,
"IF97 medium function visc_dTp for viscosity called with too low density\n"
+ "d = " + String(d) + " <= " + String(triple.dvtriple) +
" (triple point density)");
assert((p <= 500e6 and (Tc >= 0.0 and Tc <= 150)) or (p <= 350e6 and (
Tc > 150.0 and Tc <= 600)) or (p <= 300e6 and (Tc > 600.0 and Tc <=
900)),
"IF97 medium function visc_dTp: viscosity computed outside the range\n"
+ "of validity of the IF97 formulation: p = " + String(p) +
" Pa, Tc = " + String(Tc) + " K");
end if;
deltam1 := delta - 1.0;
tau := tstar/T;
taum1 := tau - 1.0;
Psi0 := 1/(n0 + (n1 + (n2 + n3*tau)*tau)*tau)/(sqrt(tau));
Psi1 := 0.0;
tfun := 1.0;
for i in 1:6 loop
if (i <> 1) then
tfun := tfun*taum1;
end if;
rhofun := 1.;
for j in 0:6 loop
if (j <> 0) then
rhofun := rhofun*deltam1;
end if;
Psi1 := Psi1 + nn[i + j*6]*tfun*rhofun;
end for;
end for;
eta := etastar*Psi0*Modelica.Math.exp(delta*Psi1);
end visc_dTp;
function cond_dTp
"Thermal conductivity lam(d,T,p) (industrial use version) only in one-phase region"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature (K)";
input SI.Pressure p "Pressure";
input Integer phase=0
"2 for two-phase, 1 for one-phase, 0 if not known";
input Boolean industrialMethod=true
"If true, the industrial method is used, otherwise the scientific one";
input Boolean checkLimits=true "Check if inputs d,T,P are in region of validity";
output SI.ThermalConductivity lambda "Thermal conductivity";
protected
Integer region(min=1, max=5) "IF97 region, valid values:1,2,3, and 5";
constant Real n0=1.0 "Conductivity coefficient";
constant Real n1=6.978267 "Conductivity coefficient";
constant Real n2=2.599096 "Conductivity coefficient";
constant Real n3=-0.998254 "Conductivity coefficient";
constant Real[30] nn=array(
1.3293046,
1.7018363,
5.2246158,
8.7127675,
-1.8525999,
-0.40452437,
-2.2156845,
-10.124111,
-9.5000611,
0.9340469,
0.2440949,
1.6511057,
4.9874687,
4.3786606,
0.0,
0.018660751,
-0.76736002,
-0.27297694,
-0.91783782,
0.0,
-0.12961068,
0.37283344,
-0.43083393,
0.0,
0.0,
0.044809953,
-0.1120316,
0.13333849,
0.0,
0.0) "Conductivity coefficient";
constant SI.ThermalConductivity lamstar=0.4945 "Scaling conductivity";
constant SI.Density rhostar=317.763 "Scaling density";
constant SI.Temperature tstar=647.226 "Scaling temperature";
constant SI.Pressure pstar=22.115e6 "Scaling pressure";
constant SI.DynamicViscosity etastar=55.071e-6 "Scaling viscosity";
Integer i "Auxiliary variable";
Integer j "Auxiliary variable";
Real delta "Dimensionless density";
Real tau "Dimensionless temperature";
Real deltam1 "Dimensionless density";
Real taum1 "Dimensionless temperature";
Real Lam0 "Part of thermal conductivity";
Real Lam1 "Part of thermal conductivity";
Real Lam2 "Part of thermal conductivity";
Real tfun "Auxiliary variable";
Real rhofun "Auxiliary variable";
Real dpitau "Auxiliary variable";
Real ddelpi "Auxiliary variable";
Real d2 "Auxiliary variable";
Modelica.Media.Common.GibbsDerivs g
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Real Tc=T - 273.15 "Celsius temperature for region check";
Real Chi "Symmetrized compressibility";
// slightly different variables for industrial use
constant SI.Density rhostar2=317.7 "Reference density";
constant SI.Temperature Tstar2=647.25 "Reference temperature";
constant SI.ThermalConductivity lambdastar=1
"Reference thermal conductivity";
Real TREL=T/Tstar2 "Relative temperature";
Real rhoREL=d/rhostar2 "Relative density";
Real lambdaREL "Relative thermal conductivity";
Real deltaTREL "Relative temperature increment";
constant Real[:] C={0.642857,-4.11717,-6.17937,0.00308976,0.0822994,
10.0932};
constant Real[:] dpar={0.0701309,0.0118520,0.00169937,-1.0200};
constant Real[:] b={-0.397070,0.400302,1.060000};
constant Real[:] B={-0.171587,2.392190};
constant Real[:] a={0.0102811,0.0299621,0.0156146,-0.00422464};
Real Q;
Real S;
Real lambdaREL2
"Function, part of the interpolating equation of the thermal conductivity";
Real lambdaREL1
"Function, part of the interpolating equation of the thermal conductivity";
Real lambdaREL0
"Function, part of the interpolating equation of the thermal conductivity";
algorithm
// simplified region check, assuming that calling arguments are legal
// assert(phase <> 2,
// "ThermalConductivity can not be called with 2-phase inputs!");
if checkLimits then
assert(d > triple.dvtriple,
"IF97 medium function cond_dTp called with too low density\n" +
"d = " + String(d) + " <= " + String(triple.dvtriple) +
" (triple point density)");
assert((p <= 100e6 and (Tc >= 0.0 and Tc <= 500)) or (p <= 70e6 and (Tc
> 500.0 and Tc <= 650)) or (p <= 40e6 and (Tc > 650.0 and Tc <= 800)),
"IF97 medium function cond_dTp: thermal conductivity computed outside the range\n"
+ "of validity of the IF97 formulation: p = " + String(p) +
" Pa, Tc = " + String(Tc) + " K");
end if;
if industrialMethod then
deltaTREL := abs(TREL - 1) + C[4];
Q := 2 + C[5]/deltaTREL^(3/5);
if TREL >= 1 then
S := 1/deltaTREL;
else
S := C[6]/deltaTREL^(3/5);
end if;
lambdaREL2 := (dpar[1]/TREL^10 + dpar[2])*rhoREL^(9/5)*
Modelica.Math.exp(C[1]*(1 - rhoREL^(14/5))) + dpar[3]*S*rhoREL^Q*
Modelica.Math.exp((Q/(1 + Q))*(1 - rhoREL^(1 + Q))) + dpar[4]*
Modelica.Math.exp(C[2]*TREL^(3/2) + C[3]/rhoREL^5);
lambdaREL1 := b[1] + b[2]*rhoREL + b[3]*Modelica.Math.exp(B[1]*(
rhoREL + B[2])^2);
lambdaREL0 := TREL^(1/2)*sum(a[i]*TREL^(i - 1) for i in 1:4);
lambdaREL := lambdaREL0 + lambdaREL1 + lambdaREL2;
lambda := lambdaREL*lambdastar;
else
if p < data.PLIMIT4A then
//regions are 1 or 2,
if d > data.DCRIT then
region := 1;
else
region := 2;
end if;
else
//region is 3, or illegal
assert(false,
"The scientific method works only for temperature up to 623.15 K");
end if;
tau := tstar/T;
delta := d/rhostar;
deltam1 := delta - 1.0;
taum1 := tau - 1.0;
Lam0 := 1/(n0 + (n1 + (n2 + n3*tau)*tau)*tau)/(tau^0.5);
Lam1 := 0.0;
tfun := 1.0;
for i in 1:5 loop
if (i <> 1) then
tfun := tfun*taum1;
end if;
rhofun := 1.0;
for j in 0:5 loop
if (j <> 0) then
rhofun := rhofun*deltam1;
end if;
Lam1 := Lam1 + nn[i + j*5]*tfun*rhofun;
end for;
end for;
if (region == 1) then
g := Basic.g1(p, T);
// dp/dT @ cont d = -g.p/g.T*(g.gpi - g.tau*g.gtaupi)/(g.gpipi*g.pi);
dpitau := -tstar/pstar*(data.PSTAR1*(g.gpi - data.TSTAR1/T*g.gtaupi)
/g.gpipi/T);
ddelpi := -pstar/rhostar*data.RH2O/data.PSTAR1/data.PSTAR1*T*d*d*g.gpipi;
Chi := delta*ddelpi;
elseif (region == 2) then
g := Basic.g2(p, T);
dpitau := -tstar/pstar*(data.PSTAR2*(g.gpi - data.TSTAR2/T*g.gtaupi)
/g.gpipi/T);
ddelpi := -pstar/rhostar*data.RH2O/data.PSTAR2/data.PSTAR2*T*d*d*g.gpipi;
Chi := delta*ddelpi;
// elseif (region == 3) then
// f := Basic.f3(T, d);
// dpitau := tstar/pstar*(f.R_s*f.d*f.delta*(f.fdelta - f.tau*f.fdeltatau));
// ddelpi := pstar*d*d/(rhostar*p*p)/(f.R_s*f.T*f.delta*(2.0*f.fdelta + f.delta*f.fdeltadelta));
// Chi := delta*ddelpi;
else
assert(false,
"Thermal conductivity can only be called in the one-phase regions below 623.15 K\n"
+ "(p = " + String(p) + " Pa, T = " + String(T) +
" K, region = " + String(region) + ")");
end if;
taum1 := 1/tau - 1;
d2 := deltam1*deltam1;
Lam2 := 0.0013848*etastar/visc_dTp(
d,
T,
p)/(tau*tau*delta*delta)*dpitau*dpitau*max(Chi, Modelica.Constants.small)
^0.4678*(delta)^0.5*Modelica.Math.exp(-18.66*taum1*taum1 - d2*d2);
lambda := lamstar*(Lam0*Modelica.Math.exp(delta*Lam1) + Lam2);
end if;
end cond_dTp;
function surfaceTension
"Surface tension in region 4 between steam and water"
extends Modelica.Icons.Function;
input SI.Temperature T "Temperature (K)";
output SI.SurfaceTension sigma "Surface tension in SI units";
protected
Real Theta "Dimensionless temperature";
algorithm
Theta := min(1.0, T/data.TCRIT);
sigma := 235.8e-3*(1 - Theta)^1.256*(1 - 0.625*(1 - Theta));
end surfaceTension;
end Transport;
package Isentropic
"Functions for calculating the isentropic enthalpy from pressure p and specific entropy s"
extends Modelica.Icons.FunctionsPackage;
function hofpT1
"Intermediate function for isentropic specific enthalpy in region 1"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature (K)";
output SI.SpecificEnthalpy h "Specific enthalpy";
protected
Real[13] o "Vector of auxiliary variables";
Real pi1 "Dimensionless pressure";
Real tau "Dimensionless temperature";
Real tau1 "Dimensionless temperature";
algorithm
tau := data.TSTAR1/T;
pi1 := 7.1 - p/data.PSTAR1;
assert(p > triple.ptriple,
"IF97 medium function hofpT1 called with too low pressure\n" +
"p = " + String(p) + " Pa <= " + String(triple.ptriple) +
" Pa (triple point pressure)");
tau1 := -1.222 + tau;
o[1] := tau1*tau1;
o[2] := o[1]*tau1;
o[3] := o[1]*o[1];
o[4] := o[3]*o[3];
o[5] := o[1]*o[4];
o[6] := o[1]*o[3];
o[7] := o[3]*tau1;
o[8] := o[3]*o[4];
o[9] := pi1*pi1;
o[10] := o[9]*o[9];
o[11] := o[10]*o[10];
o[12] := o[4]*o[4];
o[13] := o[12]*o[12];
h := data.RH2O*T*tau*(pi1*((-0.00254871721114236 + o[1]*(
0.00424944110961118 + (0.018990068218419 + (-0.021841717175414 -
0.00015851507390979*o[1])*o[1])*o[6]))/o[5] + pi1*((
0.00141552963219801 + o[3]*(0.000047661393906987 + o[1]*(-0.0000132425535992538
- 1.2358149370591e-14*o[1]*o[3]*o[4])))/o[3] + pi1*((
0.000126718579380216 - 5.11230768720618e-9*o[5])/o[7] + pi1*((
0.000011212640954 + o[2]*(1.30342445791202e-6 - 1.4341729937924e-12*o[
8]))/o[6] + pi1*(o[9]*pi1*((1.40077319158051e-8 + 1.04549227383804e-9
*o[7])/o[8] + o[10]*o[11]*pi1*(1.9941018075704e-17/(o[1]*o[12]*o[3]*o[
4]) + o[9]*(-4.48827542684151e-19/o[13] + o[10]*o[9]*(pi1*(
4.65957282962769e-22/(o[13]*o[4]) + pi1*((3.83502057899078e-24*pi1)/(
o[1]*o[13]*o[4]) - 7.2912378325616e-23/(o[13]*o[4]*tau1))) -
1.00075970318621e-21/(o[1]*o[13]*o[3]*tau1))))) + 3.24135974880936e-6
/(o[4]*tau1)))))) + (-0.29265942426334 + tau1*(0.84548187169114 + o[1]
*(3.3855169168385 + tau1*(-1.91583926775744 + tau1*(0.47316115539684
+ (-0.066465668798004 + 0.0040607314991784*tau1)*tau1)))))/o[2]);
end hofpT1;
function handsofpT1
"Special function for specific enthalpy and specific entropy in region 1"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature (K)";
output SI.SpecificEnthalpy h "Specific enthalpy";
output SI.SpecificEntropy s "Specific entropy";
protected
Real[28] o "Vector of auxiliary variables";
Real pi1 "Dimensionless pressure";
Real tau "Dimensionless temperature";
Real tau1 "Dimensionless temperature";
Real g "Dimensionless Gibbs energy";
Real gtau "Derivative of dimensionless Gibbs energy w.r.t. tau";
algorithm
assert(p > triple.ptriple,
"IF97 medium function handsofpT1 called with too low pressure\n" +
"p = " + String(p) + " Pa <= " + String(triple.ptriple) +
" Pa (triple point pressure)");
tau := data.TSTAR1/T;
pi1 := 7.1 - p/data.PSTAR1;
tau1 := -1.222 + tau;
o[1] := tau1*tau1;
o[2] := o[1]*o[1];
o[3] := o[2]*o[2];
o[4] := o[3]*tau1;
o[5] := 1/o[4];
o[6] := o[1]*o[2];
o[7] := o[1]*tau1;
o[8] := 1/o[7];
o[9] := o[1]*o[2]*o[3];
o[10] := 1/o[2];
o[11] := o[2]*tau1;
o[12] := 1/o[11];
o[13] := o[2]*o[3];
o[14] := pi1*pi1;
o[15] := o[14]*pi1;
o[16] := o[14]*o[14];
o[17] := o[16]*o[16];
o[18] := o[16]*o[17]*pi1;
o[19] := o[14]*o[16];
o[20] := o[3]*o[3];
o[21] := o[20]*o[20];
o[22] := o[21]*o[3]*tau1;
o[23] := 1/o[22];
o[24] := o[21]*o[3];
o[25] := 1/o[24];
o[26] := o[1]*o[2]*o[21]*tau1;
o[27] := 1/o[26];
o[28] := o[1]*o[3];
g := pi1*(pi1*(pi1*(o[10]*(-0.000031679644845054 + o[2]*(-2.8270797985312e-6
- 8.5205128120103e-10*o[6])) + pi1*(o[12]*(-2.2425281908e-6 + (-6.5171222895601e-7
- 1.4341729937924e-13*o[13])*o[7]) + pi1*(-4.0516996860117e-7/o[3]
+ o[15]*(o[18]*(o[14]*(o[19]*(2.6335781662795e-23/(o[1]*o[2]*o[21])
+ pi1*(-1.1947622640071e-23*o[27] + pi1*(1.8228094581404e-24*o[25]
- 9.3537087292458e-26*o[23]*pi1))) + 1.4478307828521e-20/(o[1]*o[2]*
o[20]*o[3]*tau1)) - 6.8762131295531e-19/(o[2]*o[20]*o[3]*tau1)) + (-1.2734301741641e-9
- 1.7424871230634e-10*o[11])/(o[1]*o[3]*tau1))))) + o[8]*(-0.00047184321073267
+ o[7]*(-0.00030001780793026 + (0.000047661393906987 + o[1]*(-4.4141845330846e-6
- 7.2694996297594e-16*o[9]))*tau1))) + o[5]*(0.00028319080123804 + o[
1]*(-0.00060706301565874 + o[6]*(-0.018990068218419 + tau1*(-0.032529748770505
+ (-0.021841717175414 - 0.00005283835796993*o[1])*tau1))))) + (
0.14632971213167 + tau1*(-0.84548187169114 + tau1*(-3.756360367204 +
tau1*(3.3855169168385 + tau1*(-0.95791963387872 + tau1*(
0.15772038513228 + (-0.016616417199501 + 0.00081214629983568*tau1)*
tau1))))))/o[1];
gtau := pi1*((-0.00254871721114236 + o[1]*(0.00424944110961118 + (
0.018990068218419 + (-0.021841717175414 - 0.00015851507390979*o[1])*o[
1])*o[6]))/o[28] + pi1*(o[10]*(0.00141552963219801 + o[2]*(
0.000047661393906987 + o[1]*(-0.0000132425535992538 -
1.2358149370591e-14*o[9]))) + pi1*(o[12]*(0.000126718579380216 -
5.11230768720618e-9*o[28]) + pi1*((0.000011212640954 + (
1.30342445791202e-6 - 1.4341729937924e-12*o[13])*o[7])/o[6] + pi1*(
3.24135974880936e-6*o[5] + o[15]*((1.40077319158051e-8 +
1.04549227383804e-9*o[11])/o[13] + o[18]*(1.9941018075704e-17/(o[1]*o[
2]*o[20]*o[3]) + o[14]*(-4.48827542684151e-19/o[21] + o[19]*(-1.00075970318621e-21
*o[27] + pi1*(4.65957282962769e-22*o[25] + pi1*(-7.2912378325616e-23*
o[23] + (3.83502057899078e-24*pi1)/(o[1]*o[21]*o[3])))))))))))) + o[8]
*(-0.29265942426334 + tau1*(0.84548187169114 + o[1]*(3.3855169168385
+ tau1*(-1.91583926775744 + tau1*(0.47316115539684 + (-0.066465668798004
+ 0.0040607314991784*tau1)*tau1)))));
h := data.RH2O*T*tau*gtau;
s := data.RH2O*(tau*gtau - g);
end handsofpT1;
function hofps1 "Function for isentropic specific enthalpy in region 1"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
output SI.SpecificEnthalpy h "Specific enthalpy";
protected
SI.Temperature T "Temperature (K)";
algorithm
T := Basic.tps1(p, s);
h := hofpT1(p, T);
end hofps1;
// for isentropic specific enthalpy get T(p,s), then use this
function hofpT2
"Intermediate function for isentropic specific enthalpy in region 2"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature (K)";
output SI.SpecificEnthalpy h "Specific enthalpy";
protected
Real[16] o "Vector of auxiliary variables";
Real pi "Dimensionless pressure";
Real tau "Dimensionless temperature";
Real tau2 "Dimensionless temperature";
algorithm
assert(p > triple.ptriple,
"IF97 medium function hofpT2 called with too low pressure\n" + "p = "
+ String(p) + " Pa <= " + String(triple.ptriple) +
" Pa (triple point pressure)");
pi := p/data.PSTAR2;
tau := data.TSTAR2/T;
tau2 := -0.5 + tau;
o[1] := tau*tau;
o[2] := o[1]*o[1];
o[3] := tau2*tau2;
o[4] := o[3]*tau2;
o[5] := o[3]*o[3];
o[6] := o[5]*o[5];
o[7] := o[6]*o[6];
o[8] := o[5]*o[6]*o[7]*tau2;
o[9] := o[3]*o[5];
o[10] := o[5]*o[6]*tau2;
o[11] := o[3]*o[7]*tau2;
o[12] := o[3]*o[5]*o[6];
o[13] := o[5]*o[6]*o[7];
o[14] := pi*pi;
o[15] := o[14]*o[14];
o[16] := o[7]*o[7];
h := data.RH2O*T*tau*((0.0280439559151 + tau*(-0.2858109552582 + tau*(
1.2213149471784 + tau*(-2.848163942888 + tau*(4.38395111945 + o[1]*(
10.08665568018 + (-0.5681726521544 + 0.06380539059921*tau)*tau))))))/
(o[1]*o[2]) + pi*(-0.017834862292358 + tau2*(-0.09199202739273 + (-0.172743777250296
- 0.30195167236758*o[4])*tau2) + pi*(-0.000033032641670203 + (-0.0003789797503263
+ o[3]*(-0.015757110897342 + o[4]*(-0.306581069554011 -
0.000960283724907132*o[8])))*tau2 + pi*(4.3870667284435e-7 + o[3]*(-0.00009683303171571
+ o[4]*(-0.0090203547252888 - 1.42338887469272*o[8])) + pi*(-7.8847309559367e-10
+ (2.558143570457e-8 + 1.44676118155521e-6*tau2)*tau2 + pi*(
0.0000160454534363627*o[9] + pi*((-5.0144299353183e-11 + o[10]*(-0.033874355714168
- 836.35096769364*o[11]))*o[3] + pi*((-0.0000138839897890111 -
0.973671060893475*o[12])*o[3]*o[6] + pi*((9.0049690883672e-11 -
296.320827232793*o[13])*o[3]*o[5]*tau2 + pi*(2.57526266427144e-7*o[5]
*o[6] + pi*(o[4]*(4.1627860840696e-19 + (-1.0234747095929e-12 -
1.40254511313154e-8*o[5])*o[9]) + o[14]*o[15]*(o[13]*(-2.34560435076256e-9
+ 5.3465159397045*o[5]*o[7]*tau2) + o[14]*(-19.1874828272775*o[16]*o[
6]*o[7] + o[14]*(o[11]*(1.78371690710842e-23 + (1.07202609066812e-11
- 0.000201611844951398*o[10])*o[3]*o[5]*o[6]*tau2) + pi*(-1.24017662339842e-24
*o[5]*o[7] + pi*(0.000200482822351322*o[16]*o[5]*o[7] + pi*(-4.97975748452559e-14
*o[16]*o[3]*o[5] + o[6]*o[7]*(1.90027787547159e-27 + o[12]*(
2.21658861403112e-15 - 0.0000547344301999018*o[3]*o[7]))*pi*tau2)))))))))))))))));
end hofpT2;
function handsofpT2
"Function for isentropic specific enthalpy and specific entropy in region 2"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature (K)";
output SI.SpecificEnthalpy h "Specific enthalpy";
output SI.SpecificEntropy s "Specific entropy";
protected
Real[22] o "Vector of auxiliary variables";
Real pi "Dimensionless pressure";
Real tau "Dimensionless temperature";
Real tau2 "Dimensionless temperature";
Real g "Dimensionless Gibbs energy";
Real gtau "Derivative of dimensionless Gibbs energy w.r.t. tau";
algorithm
assert(p > triple.ptriple,
"IF97 medium function handsofpT2 called with too low pressure\n" +
"p = " + String(p) + " Pa <= " + String(triple.ptriple) +
" Pa (triple point pressure)");
tau := data.TSTAR2/T;
pi := p/data.PSTAR2;
tau2 := tau - 0.5;
o[1] := tau2*tau2;
o[2] := o[1]*tau2;
o[3] := o[1]*o[1];
o[4] := o[3]*o[3];
o[5] := o[4]*o[4];
o[6] := o[3]*o[4]*o[5]*tau2;
o[7] := o[1]*o[3]*tau2;
o[8] := o[3]*o[4]*tau2;
o[9] := o[1]*o[5]*tau2;
o[10] := o[1]*o[3]*o[4];
o[11] := o[3]*o[4]*o[5];
o[12] := o[1]*o[3];
o[13] := pi*pi;
o[14] := o[13]*o[13];
o[15] := o[13]*o[14];
o[16] := o[3]*o[5]*tau2;
o[17] := o[5]*o[5];
o[18] := o[3]*o[5];
o[19] := o[1]*o[3]*o[4]*tau2;
o[20] := o[1]*o[5];
o[21] := tau*tau;
o[22] := o[21]*o[21];
g := pi*(-0.0017731742473213 + tau2*(-0.017834862292358 + tau2*(-0.045996013696365
+ (-0.057581259083432 - 0.05032527872793*o[2])*tau2)) + pi*(tau2*(-0.000033032641670203
+ (-0.00018948987516315 + o[1]*(-0.0039392777243355 + o[2]*(-0.043797295650573
- 0.000026674547914087*o[6])))*tau2) + pi*(2.0481737692309e-8 + (
4.3870667284435e-7 + o[1]*(-0.00003227767723857 + o[2]*(-0.0015033924542148
- 0.040668253562649*o[6])))*tau2 + pi*(tau2*(-7.8847309559367e-10 +
(1.2790717852285e-8 + 4.8225372718507e-7*tau2)*tau2) + pi*(
2.2922076337661e-6*o[7] + pi*(o[2]*(-1.6714766451061e-11 + o[8]*(-0.0021171472321355
- 23.895741934104*o[9])) + pi*(-5.905956432427e-18 + o[1]*(-1.2621808899101e-6
- 0.038946842435739*o[10])*o[4]*tau2 + pi*((1.1256211360459e-11 -
8.2311340897998*o[11])*o[4] + pi*(1.9809712802088e-8*o[8] + pi*((
1.0406965210174e-19 + o[12]*(-1.0234747095929e-13 -
1.0018179379511e-9*o[3]))*o[3] + o[15]*((-8.0882908646985e-11 +
0.10693031879409*o[16])*o[6] + o[13]*(-0.33662250574171*o[17]*o[4]*o[
5]*tau2 + o[13]*(o[18]*(8.9185845355421e-25 + o[19]*(
3.0629316876232e-13 - 4.2002467698208e-6*o[8])) + pi*(-5.9056029685639e-26
*o[16] + pi*(3.7826947613457e-6*o[17]*o[3]*o[5]*tau2 + pi*(o[1]*(
7.3087610595061e-29 + o[10]*(5.5414715350778e-17 - 9.436970724121e-7*
o[20]))*o[4]*o[5]*pi - 1.2768608934681e-15*o[1]*o[17]*o[3]*tau2))))))))))))))))
+ (-0.00560879118302 + tau*(0.07145273881455 + tau*(-0.4071049823928
+ tau*(1.424081971444 + tau*(-4.38395111945 + tau*(-9.692768600217
+ tau*(10.08665568018 + (-0.2840863260772 + 0.02126846353307*tau)*
tau) + Modelica.Math.log(pi)))))))/(o[22]*tau);
gtau := (0.0280439559151 + tau*(-0.2858109552582 + tau*(1.2213149471784
+ tau*(-2.848163942888 + tau*(4.38395111945 + o[21]*(10.08665568018
+ (-0.5681726521544 + 0.06380539059921*tau)*tau))))))/(o[21]*o[22])
+ pi*(-0.017834862292358 + tau2*(-0.09199202739273 + (-0.172743777250296
- 0.30195167236758*o[2])*tau2) + pi*(-0.000033032641670203 + (-0.0003789797503263
+ o[1]*(-0.015757110897342 + o[2]*(-0.306581069554011 -
0.000960283724907132*o[6])))*tau2 + pi*(4.3870667284435e-7 + o[1]*(-0.00009683303171571
+ o[2]*(-0.0090203547252888 - 1.42338887469272*o[6])) + pi*(-7.8847309559367e-10
+ (2.558143570457e-8 + 1.44676118155521e-6*tau2)*tau2 + pi*(
0.0000160454534363627*o[12] + pi*(o[1]*(-5.0144299353183e-11 + o[8]*(
-0.033874355714168 - 836.35096769364*o[9])) + pi*(o[1]*(-0.0000138839897890111
- 0.973671060893475*o[10])*o[4] + pi*((9.0049690883672e-11 -
296.320827232793*o[11])*o[7] + pi*(2.57526266427144e-7*o[3]*o[4] + pi
*(o[2]*(4.1627860840696e-19 + o[12]*(-1.0234747095929e-12 -
1.40254511313154e-8*o[3])) + o[15]*(o[11]*(-2.34560435076256e-9 +
5.3465159397045*o[16]) + o[13]*(-19.1874828272775*o[17]*o[4]*o[5] + o[
13]*((1.78371690710842e-23 + o[19]*(1.07202609066812e-11 -
0.000201611844951398*o[8]))*o[9] + pi*(-1.24017662339842e-24*o[18] +
pi*(0.000200482822351322*o[17]*o[3]*o[5] + pi*(-4.97975748452559e-14*
o[1]*o[17]*o[3] + (1.90027787547159e-27 + o[10]*(2.21658861403112e-15
- 0.0000547344301999018*o[20]))*o[4]*o[5]*pi*tau2))))))))))))))));
h := data.RH2O*T*tau*gtau;
s := data.RH2O*(tau*gtau - g);
end handsofpT2;
function hofps2 "Function for isentropic specific enthalpy in region 2"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
output SI.SpecificEnthalpy h "Specific enthalpy";
protected
SI.Temperature T "Temperature (K)";
algorithm
T := Basic.tps2(p, s);
h := hofpT2(p, T);
end hofps2;
// region 3 extra functions
// for isentropic specific enthalpy get (d,T) = f(p,s), then use this
// which needs a bloody iteration, ...
// this is one thing that needs to be done somehow, ...
function hofdT3 "Function for isentropic specific enthalpy in region 3"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature (K)";
output SI.SpecificEnthalpy h "Specific enthalpy";
protected
Real delta;
Real tau "Dimensionless temperature";
Real[13] o "Vector of auxiliary variables";
Real ftau "Derivative of dimensionless Helmholtz energy w.r.t. tau";
Real fdelta "Derivative of dimensionless Helmholtz energy w.r.t. delta";
algorithm
tau := data.TCRIT/T;
delta := d/data.DCRIT;
o[1] := tau*tau;
o[2] := o[1]*o[1];
o[3] := o[2]*o[2];
o[4] := o[3]*tau;
o[5] := o[1]*o[2]*o[3]*tau;
o[6] := o[2]*o[3];
o[7] := o[1]*o[3];
o[8] := o[3]*o[3];
o[9] := o[1]*o[2]*o[8];
o[10] := o[1]*o[2]*o[8]*tau;
o[11] := o[3]*o[8];
o[12] := o[3]*o[8]*tau;
o[13] := o[1]*o[3]*o[8];
ftau := 20.944396974307 + tau*(-15.3735415757432 + o[2]*tau*(
18.3301634515678 + o[1]*tau*(-28.08078114862 + o[1]*(14.4640436358204
- 0.194503669468755*o[1]*o[3]*tau)))) + delta*((-2.5308630955428 + o[
2]*(-6.9146446840086 + (13.2781565976477 - 10.9153200808732*o[1])*o[4]))
*tau + delta*(tau*(-1.70429417648412 + o[2]*(29.3833689251262 + (-21.3518320798755
+ (0.867251811341388 + 3.26518619032008*o[2])*o[5])*tau)) + delta*((
2.779959913892 + o[1]*(-8.075966009428 + o[6]*(-0.131436219478341 -
12.37496929108*o[7])))*tau + delta*((-0.88952870857478 + o[1]*(
3.62288282878932 + 18.3358370228714*o[9]))*tau + delta*(
0.10770512626332 + o[1]*(-0.98740869776862 - 13.2264761307011*o[10])
+ delta*((0.188521503330184 + 4.27343239646986*o[11])*tau + delta*(-0.027006744482696
*tau + delta*(-0.385692979164272*o[12] + delta*(delta*(-0.00016557679795037
- 0.00116802137560719*delta*o[12]) + (0.00115845907256168 +
0.0840031522296486*o[11])*tau)))))))));
fdelta := (1.0658070028513 + delta*(o[1]*(-1.2654315477714 + o[2]*(-1.1524407806681
+ (0.88521043984318 - 0.64207765181607*o[1])*o[4])) + delta*(
0.76986920373342 + o[1]*(-1.70429417648412 + o[2]*(9.7944563083754 +
(-6.100523451393 + (0.078841073758308 + 0.25116816848616*o[2])*o[5])*
tau)) + delta*(-0.8399798909613 + o[1]*(4.169939870838 + o[1]*(-6.056974507071
+ o[6]*(-0.0246442911521889 - 1.42788107204769*o[7]))) + delta*(
0.175936297894 + o[1]*(-1.77905741714956 + o[1]*(3.62288282878932 +
2.82089800351868*o[9])) + delta*(delta*(-0.133052405238576 + o[1]*(
0.565564509990552 + 0.98617670687766*o[11]) + delta*(-0.094523605689436
*o[1] + delta*(-0.118674762819776*o[13] + delta*(o[1]*(
0.00521306582652756 + 0.0290780142333399*o[11]) + delta*(
0.00080964802996215 - 0.000494162889679965*delta*o[13] -
0.0016557679795037*tau))))) + (0.5385256313166 + o[1]*(-1.6456811629477
- 2.5435531020579*o[10]))*tau))))))/delta;
h := data.RH2O*T*(tau*ftau + delta*fdelta);
end hofdT3;
function hofps3 "Isentropic specific enthalpy in region 3 h(p,s)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
output SI.SpecificEnthalpy h "Specific enthalpy";
protected
SI.Density d "Density";
SI.Temperature T "Temperature (K)";
SI.Pressure delp=IterationData.DELP "Iteration accuracy";
SI.SpecificEntropy dels=IterationData.DELS "Iteration accuracy";
Integer error "Error if not 0";
algorithm
(d,T,error) := Inverses.dtofps3(
p=p,
s=s,
delp=delp,
dels=dels);
h := hofdT3(d, T);
end hofps3;
function hofpsdt3
"Isentropic specific enthalpy in region 3 h(p,s) with given good guess in d and T"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
input SI.Density dguess
"Good guess density, e.g., from adjacent volume";
input SI.Temperature Tguess
"Good guess temperature, e.g., from adjacent volume";
input SI.Pressure delp=IterationData.DELP "Relative error in p";
input SI.SpecificEntropy dels=IterationData.DELS "Relative error in s";
output SI.SpecificEnthalpy h "Specific enthalpy";
protected
SI.Density d "Density";
SI.Temperature T "Temperature (K)";
Integer error "Error flag";
algorithm
(d,T,error) := Inverses.dtofpsdt3(
p=p,
s=s,
dguess=dguess,
Tguess=Tguess,
delp=delp,
dels=dels);
h := hofdT3(d, T);
end hofpsdt3;
function hofps4 "Isentropic specific enthalpy in region 4 h(p,s)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
output SI.SpecificEnthalpy h "Specific enthalpy";
protected
SI.Temperature Tsat "Saturation temperature";
SI.MassFraction x "Dryness fraction";
SI.SpecificEntropy sl "Saturated liquid specific entropy";
SI.SpecificEntropy sv "Saturated vapour specific entropy";
SI.SpecificEnthalpy hl "Saturated liquid specific enthalpy";
SI.SpecificEnthalpy hv "Saturated vapour specific enthalpy";
algorithm
if (p <= data.PLIMIT4A) then
Tsat := Basic.tsat(p);
(hl,sl) := handsofpT1(p, Tsat);
(hv,sv) := handsofpT2(p, Tsat);
elseif (p < data.PCRIT) then
sl := Regions.sl_p_R4b(p);
sv := Regions.sv_p_R4b(p);
hl := Regions.hl_p_R4b(p);
hv := Regions.hv_p_R4b(p);
else
sl := Regions.sl_p_R4b(data.PCRIT);
sv := Regions.sv_p_R4b(data.PCRIT);
hl := Regions.hl_p_R4b(data.PCRIT);
hv := Regions.hv_p_R4b(data.PCRIT);
end if;
x := max(min(if sl <> sv then (s - sl)/(sv - sl) else 1.0, 1.0), 0.0);
h := hl + x*(hv - hl);
end hofps4;
function hofpT5 "Specific enthalpy in region 5 h(p,T)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature (K)";
output SI.SpecificEnthalpy h "Specific enthalpy";
protected
Real[4] o "Vector of auxiliary variables";
Real tau "Dimensionless temperature";
Real pi "Dimensionless pressure";
algorithm
tau := data.TSTAR5/T;
pi := p/data.PSTAR5;
assert(p > triple.ptriple,
"IF97 medium function hofpT5 called with too low pressure\n" + "p = "
+ String(p) + " Pa <= " + String(triple.ptriple) +
" Pa (triple point pressure)");
o[1] := tau*tau;
o[2] := o[1]*o[1];
o[3] := pi*pi;
o[4] := o[2]*o[2];
h := data.RH2O*T*tau*(6.8540841634434 + 3.1161318213925/o[1] +
0.074415446800398/o[2] - 0.0000357523455236121*o[3]*o[4] +
0.0021774678714571*pi - 0.013782846269973*o[1]*pi +
3.8757684869352e-7*o[1]*o[3]*pi - 0.73803069960666/(o[1]*tau) -
0.65923253077834*tau);
end hofpT5;
function water_hisentropic
"Isentropic specific enthalpy from p,s (preferably use water_hisentropic_dyn in dynamic simulation!)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
input Integer phase=0
"Phase: 2 for two-phase, 1 for one phase, 0 if unknown";
output SI.SpecificEnthalpy h "Specific enthalpy";
protected
Modelica.Media.Common.GibbsDerivs g
"Derivatives of dimensionless Gibbs-function w.r.t. dimensionless pi and tau";
Modelica.Media.Common.HelmholtzDerivs f
"Derivatives of dimensionless Helmholtz-function w.r.t. dimensionless delta and tau";
Integer region(min=1, max=5) "IF97 region";
Integer error "Error if not 0";
SI.Temperature T "Temperature";
SI.Density d "Density";
algorithm
region := Regions.region_ps(
p=p,
s=s,
phase=phase);
if (region == 1) then
h := hofps1(p, s);
elseif (region == 2) then
h := hofps2(p, s);
elseif (region == 3) then
(d,T,error) := Inverses.dtofps3(
p=p,
s=s,
delp=IterationData.DELP,
dels=IterationData.DELS);
h := hofdT3(d, T);
elseif (region == 4) then
h := hofps4(p, s);
elseif (region == 5) then
(T,error) := Inverses.tofps5(
p=p,
s=s,
relds=IterationData.DELS);
h := hofpT5(p, T);
end if;
end water_hisentropic;
function water_hisentropic_dyn
"Isentropic specific enthalpy from p,s and good guesses of d and T"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
input SI.Density dguess
"Good guess density, e.g., from adjacent volume";
input SI.Temperature Tguess
"Good guess temperature, e.g., from adjacent volume";
input Integer phase "1 for one phase, 2 for two phase";
output SI.SpecificEnthalpy h "Specific enthalpy";
protected
Modelica.Media.Common.GibbsDerivs g
"Derivatives of dimensionless Gibbs-function w.r.t. dimensionless pi and tau";
Modelica.Media.Common.HelmholtzDerivs f
"Derivatives of dimensionless Helmholtz-function w.r.t. dimensionless delta and tau";
Integer region(min=1, max=5) "IF97 region";
Integer error "Error if not 0";
SI.Temperature T "Temperature";
SI.Density d "Density";
algorithm
region := Regions.region_ps(
p=p,
s=s,
phase=phase);
if (region == 1) then
h := hofps1(p, s);
elseif (region == 2) then
h := hofps2(p, s);
elseif (region == 3) then
h := hofpsdt3(
p=p,
s=s,
dguess=dguess,
Tguess=Tguess,
delp=IterationData.DELP,
dels=IterationData.DELS);
elseif (region == 4) then
h := hofps4(p, s);
elseif (region == 5) then
(T,error) := Inverses.tofpst5(
p=p,
s=s,
Tguess=Tguess,
relds=IterationData.DELS);
h := hofpT5(p, T);
end if;
end water_hisentropic_dyn;
end Isentropic;
//work needed: (Pr,lam,eta) = f(d,T,p, region?)
package Inverses "Efficient inverses for selected pairs of variables"
extends Modelica.Icons.FunctionsPackage;
//===================================================================
// Iterative version for some pairs/regions
//===================================================================
function fixdT "Region limits for inverse iteration in region 3"
extends Modelica.Icons.Function;
input SI.Density din "Density";
input SI.Temperature Tin "Temperature";
output SI.Density dout "Density";
output SI.Temperature Tout "Temperature";
protected
SI.Temperature Tmin "Approximation of minimum temperature";
SI.Temperature Tmax "Approximation of maximum temperature";
algorithm
if (din > 765.0) then
dout := 765.0;
elseif (din < 110.0) then
dout := 110.0;
else
dout := din;
end if;
if (dout < 390.0) then
Tmax := 554.3557377 + dout*0.809344262;
else
Tmax := 1116.85 - dout*0.632948717;
end if;
if (dout < data.DCRIT) then
Tmin := data.TCRIT*(1.0 - (dout - data.DCRIT)*(dout - data.DCRIT)/
1.0e6);
else
Tmin := data.TCRIT*(1.0 - (dout - data.DCRIT)*(dout - data.DCRIT)/
1.44e6);
end if;
if (Tin < Tmin) then
Tout := Tmin;
elseif (Tin > Tmax) then
Tout := Tmax;
else
Tout := Tin;
end if;
end fixdT;
function dofp13 "Density at the boundary between regions 1 and 3"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.Density d "Density";
protected
Real p2 "Auxiliary variable";
Real[3] o "Vector of auxiliary variables";
algorithm
p2 := 7.1 - 6.04960677555959e-8*p;
o[1] := p2*p2;
o[2] := o[1]*o[1];
o[3] := o[2]*o[2];
d := 57.4756752485113/(0.0737412153522555 + p2*(0.00145092247736023 +
p2*(0.000102697173772229 + p2*(0.0000114683182476084 + p2*(
1.99080616601101e-6 + o[1]*p2*(1.13217858826367e-8 + o[2]*o[3]*p2*(
1.35549330686006e-17 + o[1]*(-3.11228834832975e-19 + o[1]*o[2]*(-7.02987180039442e-22
+ p2*(3.29199117056433e-22 + (-5.17859076694812e-23 +
2.73712834080283e-24*p2)*p2))))))))));
end dofp13;
function dofp23 "Density at the boundary between regions 2 and 3"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output SI.Density d "Density";
protected
SI.Temperature T;
Real[13] o "Vector of auxiliary variables";
Real taug "Auxiliary variable";
Real pi "Dimensionless pressure";
Real gpi23
"Derivative of g w.r.t. pi on the boundary between regions 2 and 3";
algorithm
pi := p/data.PSTAR2;
T := 572.54459862746 + 31.3220101646784*(-13.91883977887 + pi)^0.5;
o[1] := (-13.91883977887 + pi)^0.5;
taug := -0.5 + 540.0/(572.54459862746 + 31.3220101646784*o[1]);
o[2] := taug*taug;
o[3] := o[2]*taug;
o[4] := o[2]*o[2];
o[5] := o[4]*o[4];
o[6] := o[5]*o[5];
o[7] := o[4]*o[5]*o[6]*taug;
o[8] := o[4]*o[5]*taug;
o[9] := o[2]*o[4]*o[5];
o[10] := pi*pi;
o[11] := o[10]*o[10];
o[12] := o[4]*o[6]*taug;
o[13] := o[6]*o[6];
gpi23 := (1.0 + pi*(-0.0017731742473213 + taug*(-0.017834862292358 +
taug*(-0.045996013696365 + (-0.057581259083432 - 0.05032527872793*o[3])
*taug)) + pi*(taug*(-0.000066065283340406 + (-0.0003789797503263 + o[
2]*(-0.007878555448671 + o[3]*(-0.087594591301146 -
0.000053349095828174*o[7])))*taug) + pi*(6.1445213076927e-8 + (
1.31612001853305e-6 + o[2]*(-0.00009683303171571 + o[3]*(-0.0045101773626444
- 0.122004760687947*o[7])))*taug + pi*(taug*(-3.15389238237468e-9 +
(5.116287140914e-8 + 1.92901490874028e-6*taug)*taug) + pi*(
0.0000114610381688305*o[2]*o[4]*taug + pi*(o[3]*(-1.00288598706366e-10
+ o[8]*(-0.012702883392813 - 143.374451604624*o[2]*o[6]*taug)) + pi*
(-4.1341695026989e-17 + o[2]*o[5]*(-8.8352662293707e-6 -
0.272627897050173*o[9])*taug + pi*(o[5]*(9.0049690883672e-11 -
65.8490727183984*o[4]*o[5]*o[6]) + pi*(1.78287415218792e-7*o[8] + pi*
(o[4]*(1.0406965210174e-18 + o[2]*(-1.0234747095929e-12 -
1.0018179379511e-8*o[4])*o[4]) + o[10]*o[11]*((-1.29412653835176e-9
+ 1.71088510070544*o[12])*o[7] + o[10]*(-6.05920510335078*o[13]*o[5]
*o[6]*taug + o[10]*(o[4]*o[6]*(1.78371690710842e-23 + o[2]*o[4]*o[5]*
(6.1258633752464e-12 - 0.000084004935396416*o[8])*taug) + pi*(-1.24017662339842e-24
*o[12] + pi*(0.0000832192847496054*o[13]*o[4]*o[6]*taug + pi*(o[2]*o[
5]*o[6]*(1.75410265428146e-27 + (1.32995316841867e-15 -
0.0000226487297378904*o[2]*o[6])*o[9])*pi - 2.93678005497663e-14*o[13]
*o[2]*o[4]*taug)))))))))))))))))/pi;
d := p/(data.RH2O*T*pi*gpi23);
end dofp23;
function dofpt3 "Inverse iteration in region 3: (d) = f(p,T)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature (K)";
input SI.Pressure delp "Iteration converged if (p-pre(p) < delp)";
output SI.Density d "Density";
output Integer error=0
"Error flag: iteration failed if different from 0";
protected
SI.Density dguess "Guess density";
Integer i=0 "Loop counter";
Real dp "Pressure difference";
SI.Density deld "Density step";
Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Modelica.Media.Common.NewtonDerivatives_pT nDerivs
"Derivatives needed in Newton iteration";
Boolean found=false "Flag for iteration success";
Boolean supercritical "Flag, true for supercritical states";
Boolean liquid "Flag, true for liquid states";
SI.Density dmin "Lower density limit";
SI.Density dmax "Upper density limit";
SI.Temperature Tmax "Maximum temperature";
Real damping "Damping factor";
algorithm
found := false;
assert(p >= data.PLIMIT4A,
"BaseIF97.dofpt3: function called outside of region 3! p too low\n"
+ "p = " + String(p) + " Pa < " + String(data.PLIMIT4A) + " Pa");
assert(T >= data.TLIMIT1,
"BaseIF97.dofpt3: function called outside of region 3! T too low\n"
+ "T = " + String(T) + " K < " + String(data.TLIMIT1) + " K");
assert(p >= Regions.boundary23ofT(T),
"BaseIF97.dofpt3: function called outside of region 3! T too high\n"
+ "p = " + String(p) + " Pa, T = " + String(T) + " K");
supercritical := p > data.PCRIT;
damping := if supercritical then 1.0 else 1.0;
Tmax := Regions.boundary23ofp(p);
if supercritical then
dmax := dofp13(p);
dmin := dofp23(p);
dguess := dmax - (T - data.TLIMIT1)/(data.TLIMIT1 - Tmax)*(dmax -
dmin);
//this may need even further improvement!!
else
liquid := T < Basic.tsat(p);
if liquid then
dmax := dofp13(p);
dmin := Regions.rhol_p_R4b(p);
dguess := 1.1*Regions.rhol_T(T)
"Guess: 10 percent more than on the phase boundary for same T";
// dguess := 0.5*(dmax + dmin);
else
dmax := Regions.rhov_p_R4b(p);
dmin := dofp23(p);
dguess := 0.9*Regions.rhov_T(T)
"Guess: 10% less than on the phase boundary for same T";
// dguess := 0.5*(dmax + dmin);
end if;
end if;
while ((i < IterationData.IMAX) and not found) loop
d := dguess;
f := Basic.f3(d, T);
nDerivs := Modelica.Media.Common.Helmholtz_pT(f);
dp := nDerivs.p - p;
if (abs(dp/p) <= delp) then
found := true;
end if;
deld := dp/nDerivs.pd*damping;
d := d - deld;
if d > dmin and d < dmax then
dguess := d;
else
if d > dmax then
dguess := dmax - sqrt(Modelica.Constants.eps);
// put it on the correct spot just inside the boundary here instead
else
dguess := dmin + sqrt(Modelica.Constants.eps);
end if;
end if;
i := i + 1;
end while;
if not found then
error := 1;
end if;
assert(error <> 1, "Error in inverse function dofpt3: iteration failed");
end dofpt3;
// for all iteration functions: project to boundaries possible
// if p is input. Step 1 get dofpt_efficient(p,T) at boundary
// for T, use boundary itself if off limits, for d a bit inside
function dtofph3 "Inverse iteration in region 3: (d,T) = f(p,h)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input SI.Pressure delp "Iteration accuracy";
input SI.SpecificEnthalpy delh "Iteration accuracy";
output SI.Density d "Density";
output SI.Temperature T "Temperature (K)";
output Integer error "Error flag: iteration failed if different from 0";
protected
SI.Temperature Tguess "Initial temperature";
SI.Density dguess "Initial density";
Integer i "Iteration counter";
Real dh "Newton-error in h-direction";
Real dp "Newton-error in p-direction";
Real det "Determinant of directional derivatives";
Real deld "Newton-step in d-direction";
Real delt "Newton-step in T-direction";
Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Modelica.Media.Common.NewtonDerivatives_ph nDerivs
"Derivatives needed in Newton iteration";
Boolean found=false "Flag for iteration success";
Integer subregion "1 for subregion 3a, 2 for subregion 3b";
algorithm
if p < data.PCRIT then
// allow a 10 J margin inside the (well approximated) phase boundary
subregion := if h < (Regions.hl_p(p) + 10.0) then 1 else if h > (
Regions.hv_p(p) - 10.0) then 2 else 0;
assert(subregion <> 0,
"Inverse iteration of dt from ph called in 2 phase region: this can not work");
else
//supercritical
subregion := if h < Basic.h3ab_p(p) then 1 else 2;
end if;
T := if subregion == 1 then Basic.T3a_ph(p, h) else Basic.T3b_ph(p, h);
d := if subregion == 1 then 1/Basic.v3a_ph(p, h) else 1/Basic.v3b_ph(p,
h);
i := 0;
error := 0;
while ((i < IterationData.IMAX) and not found) loop
f := Basic.f3(d, T);
nDerivs := Modelica.Media.Common.Helmholtz_ph(f);
dh := nDerivs.h - h;
dp := nDerivs.p - p;
if ((abs(dh/h) <= delh) and (abs(dp/p) <= delp)) then
found := true;
end if;
det := nDerivs.ht*nDerivs.pd - nDerivs.pt*nDerivs.hd;
delt := (nDerivs.pd*dh - nDerivs.hd*dp)/det;
deld := (nDerivs.ht*dp - nDerivs.pt*dh)/det;
T := T - delt;
d := d - deld;
dguess := d;
Tguess := T;
i := i + 1;
(d,T) := fixdT(dguess, Tguess);
end while;
if not found then
error := 1;
end if;
assert(error <> 1,
"Error in inverse function dtofph3: iteration failed");
end dtofph3;
function dtofps3 "Inverse iteration in region 3: (d,T) = f(p,s)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
input SI.Pressure delp "Iteration accuracy";
input SI.SpecificEntropy dels "Iteration accuracy";
output SI.Density d "Density";
output SI.Temperature T "Temperature (K)";
output Integer error "Error flag: iteration failed if different from 0";
protected
SI.Temperature Tguess "Initial temperature";
SI.Density dguess "Initial density";
Integer i "Iteration counter";
Real ds "Newton-error in s-direction";
Real dp "Newton-error in p-direction";
Real det "Determinant of directional derivatives";
Real deld "Newton-step in d-direction";
Real delt "Newton-step in T-direction";
Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Modelica.Media.Common.NewtonDerivatives_ps nDerivs
"Derivatives needed in Newton iteration";
Boolean found "Flag for iteration success";
Integer subregion "1 for subregion 3a, 2 for subregion 3b";
algorithm
i := 0;
error := 0;
found := false;
if p < data.PCRIT then
// allow a 1 J/K margin inside the (well approximated) phase boundary
subregion := if s < (Regions.sl_p(p) + 10.0) then 1 else if s > (
Regions.sv_p(p) - 10.0) then 2 else 0;
assert(subregion <> 0,
"Inverse iteration of dt from ps called in 2 phase region: this is illegal!");
else
subregion := if s < data.SCRIT then 1 else 2;
end if;
T := if subregion == 1 then Basic.T3a_ps(p, s) else Basic.T3b_ps(p, s);
d := if subregion == 1 then 1/Basic.v3a_ps(p, s) else 1/Basic.v3b_ps(p,
s);
while ((i < IterationData.IMAX) and not found) loop
f := Basic.f3(d, T);
nDerivs := Modelica.Media.Common.Helmholtz_ps(f);
ds := nDerivs.s - s;
dp := nDerivs.p - p;
if ((abs(ds/s) <= dels) and (abs(dp/p) <= delp)) then
found := true;
end if;
det := nDerivs.st*nDerivs.pd - nDerivs.pt*nDerivs.sd;
delt := (nDerivs.pd*ds - nDerivs.sd*dp)/det;
deld := (nDerivs.st*dp - nDerivs.pt*ds)/det;
T := T - delt;
d := d - deld;
dguess := d;
Tguess := T;
i := i + 1;
(d,T) := fixdT(dguess, Tguess);
end while;
if not found then
error := 1;
end if;
assert(error <> 1,
"Error in inverse function dtofps3: iteration failed");
end dtofps3;
function dtofpsdt3 "Inverse iteration in region 3: (d,T) = f(p,s)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
input SI.Density dguess "Guess density, e.g., from adjacent volume";
input SI.Temperature Tguess
"Guess temperature, e.g., from adjacent volume";
input SI.Pressure delp "Iteration accuracy";
input SI.SpecificEntropy dels "Iteration accuracy";
output SI.Density d "Density";
output SI.Temperature T "Temperature (K)";
output Integer error "Error flag: iteration failed if different from 0";
protected
Integer i "Iteration counter";
Real ds "Newton-error in s-direction";
Real dp "Newton-error in p-direction";
Real det "Determinant of directional derivatives";
Real deld "Newton-step in d-direction";
Real delt "Newton-step in T-direction";
Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Modelica.Media.Common.NewtonDerivatives_ps nDerivs
"Derivatives needed in Newton iteration";
Boolean found "Flag for iteration success";
SI.Density diter "Density";
SI.Temperature Titer "Temperature (K)";
algorithm
i := 0;
error := 0;
found := false;
(diter,Titer) := fixdT(dguess, Tguess);
while ((i < IterationData.IMAX) and not found) loop
(d,T) := fixdT(diter, Titer);
f := Basic.f3(d, T);
nDerivs := Modelica.Media.Common.Helmholtz_ps(f);
ds := nDerivs.s - s;
dp := nDerivs.p - p;
if ((abs(ds/s) <= dels) and (abs(dp/p) <= delp)) then
found := true;
end if;
det := nDerivs.st*nDerivs.pd - nDerivs.pt*nDerivs.sd;
delt := (nDerivs.pd*ds - nDerivs.sd*dp)/det;
deld := (nDerivs.st*dp - nDerivs.pt*ds)/det;
T := T - delt;
d := d - deld;
diter := d;
Titer := T;
i := i + 1;
end while;
if not found then
error := 1;
end if;
assert(error <> 1,
"Error in inverse function dtofpsdt3: iteration failed");
end dtofpsdt3;
function pofdt125 "Inverse iteration in region 1,2 and 5: p = g(d,T)"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature (K)";
input SI.Pressure reldd "Relative iteration accuracy of density";
input Integer region
"Region in IAPWS/IF97 in which inverse should be calculated";
output SI.Pressure p "Pressure";
output Integer error "Error flag: iteration failed if different from 0";
protected
Integer i "Counter for while-loop";
Modelica.Media.Common.GibbsDerivs g
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
Boolean found "Flag if iteration has been successful";
Real dd
"Difference between density for guessed p and the current density";
Real delp "Step in p in Newton-iteration";
Real relerr "Relative error in d";
SI.Pressure pguess1=1.0e6 "Initial pressure guess in region 1";
SI.Pressure pguess2 "Initial pressure guess in region 2";
constant SI.Pressure pguess5=0.5e6 "Initial pressure guess in region 5";
algorithm
i := 0;
error := 0;
pguess2 := 42800*d;
found := false;
if region == 1 then
p := pguess1;
elseif region == 2 then
p := pguess2;
else
p := pguess5;
end if;
while ((i < IterationData.IMAX) and not found) loop
if region == 1 then
g := Basic.g1(p, T);
elseif region == 2 then
g := Basic.g2(p, T);
else
g := Basic.g5(p, T);
end if;
dd := p/(data.RH2O*T*g.pi*g.gpi) - d;
relerr := dd/d;
if (abs(relerr) < reldd) then
found := true;
end if;
delp := dd*(-p*p/(d*d*data.RH2O*T*g.pi*g.pi*g.gpipi));
p := p - delp;
i := i + 1;
if not found then
if p < triple.ptriple then
p := 2.0*triple.ptriple;
end if;
if p > data.PLIMIT1 then
p := 0.95*data.PLIMIT1;
end if;
end if;
end while;
// print("i = " + i2s(i) + ", p = " + r2s(p/1.0e5) + ", delp = " + r2s(delp*1.0e-5) + "\n");
if not found then
error := 1;
end if;
assert(error <> 1,
"Error in inverse function pofdt125: iteration failed");
end pofdt125;
function tofph5 "Inverse iteration in region 5: (p,T) = f(p,h)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input SI.SpecificEnthalpy reldh "Iteration accuracy";
output SI.Temperature T "Temperature (K)";
output Integer error "Error flag: iteration failed if different from 0";
protected
Modelica.Media.Common.GibbsDerivs g
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
SI.SpecificEnthalpy proh "H for current guess in T";
constant SI.Temperature Tguess=1500 "Initial temperature";
Integer i "Iteration counter";
Real relerr "Relative error in h";
Real dh "Newton-error in h-direction";
Real dT "Newton-step in T-direction";
Boolean found "Flag for iteration success";
algorithm
i := 0;
error := 0;
T := Tguess;
found := false;
while ((i < IterationData.IMAX) and not found) loop
g := Basic.g5(p, T);
proh := data.RH2O*T*g.tau*g.gtau;
dh := proh - h;
relerr := dh/h;
if (abs(relerr) < reldh) then
found := true;
end if;
dT := dh/(-data.RH2O*g.tau*g.tau*g.gtautau);
T := T - dT;
i := i + 1;
end while;
if not found then
error := 1;
end if;
assert(error <> 1, "Error in inverse function tofph5: iteration failed");
end tofph5;
function tofps5 "Inverse iteration in region 5: (p,T) = f(p,s)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
input SI.SpecificEnthalpy relds "Iteration accuracy";
output SI.Temperature T "Temperature (K)";
output Integer error "Error flag: iteration failed if different from 0";
protected
Modelica.Media.Common.GibbsDerivs g
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
SI.SpecificEntropy pros "S for current guess in T";
parameter SI.Temperature Tguess=1500 "Initial temperature";
Integer i "Iteration counter";
Real relerr "Relative error in s";
Real ds "Newton-error in s-direction";
Real dT "Newton-step in T-direction";
Boolean found "Flag for iteration success";
algorithm
i := 0;
error := 0;
T := Tguess;
found := false;
while ((i < IterationData.IMAX) and not found) loop
g := Basic.g5(p, T);
pros := data.RH2O*(g.tau*g.gtau - g.g);
ds := pros - s;
relerr := ds/s;
if (abs(relerr) < relds) then
found := true;
end if;
dT := ds*T/(-data.RH2O*g.tau*g.tau*g.gtautau);
T := T - dT;
i := i + 1;
end while;
if not found then
error := 1;
end if;
assert(error <> 1, "Error in inverse function tofps5: iteration failed");
end tofps5;
function tofpst5 "Inverse iteration in region 5: (p,T) = f(p,s)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
input SI.Temperature Tguess
"Guess temperature, e.g., from adjacent volume";
input SI.SpecificEntropy relds "Iteration accuracy";
output SI.Temperature T "Temperature (K)";
output Integer error "Error flag: iteration failed if different from 0";
protected
Modelica.Media.Common.GibbsDerivs g
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
SI.SpecificEntropy pros "S for current guess in T";
Integer i "Iteration counter";
Real relerr "Relative error in s";
Real ds "Newton-error in s-direction";
Real dT "Newton-step in T-direction";
Boolean found "Flag for iteration success";
algorithm
i := 0;
error := 0;
T := Tguess;
found := false;
while ((i < IterationData.IMAX) and not found) loop
g := Basic.g5(p, T);
pros := data.RH2O*(g.tau*g.gtau - g.g);
ds := pros - s;
relerr := ds/s;
if (abs(relerr) < relds) then
found := true;
end if;
dT := ds*T/(-data.RH2O*g.tau*g.tau*g.gtautau);
T := T - dT;
i := i + 1;
end while;
if not found then
error := 1;
end if;
assert(error <> 1,
"Error in inverse function tofpst5: iteration failed");
end tofpst5;
end Inverses;
package ByRegion "Simple explicit functions for one region only"
extends Modelica.Icons.FunctionsPackage;
function waterR1_pT "Standard properties for region 1, (p,T) as inputs"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature (K)";
output Modelica.Media.Common.ThermoFluidSpecial.ThermoProperties_pT pro
"Thermodynamic property collection";
protected
Modelica.Media.Common.GibbsDerivs g
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
algorithm
g := Basic.g1(p, T);
pro := Modelica.Media.Common.ThermoFluidSpecial.gibbsToProps_pT(g);
end waterR1_pT;
function waterR2_pT "Standard properties for region 2, (p,T) as inputs"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature (K)";
output Modelica.Media.Common.ThermoFluidSpecial.ThermoProperties_pT pro
"Thermodynamic property collection";
protected
Modelica.Media.Common.GibbsDerivs g
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
algorithm
g := Basic.g2(p, T);
pro := Modelica.Media.Common.ThermoFluidSpecial.gibbsToProps_pT(g);
end waterR2_pT;
function waterR3_dT "Standard properties for region 3, (d,T) as inputs"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature (K)";
output Common.ThermoFluidSpecial.ThermoProperties_dT pro
"Thermodynamic property collection";
protected
Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
algorithm
f := Basic.f3(d, T);
pro := Modelica.Media.Common.ThermoFluidSpecial.helmholtzToProps_dT(f);
assert(pro.p <= 100.0e6,
"IF97 medium function waterR3_dT: the input pressure (= " + String(
pro.p) + " Pa) is higher than 100 MPa");
end waterR3_dT;
function waterR5_pT "Standard properties for region 5, (p,T) as inputs"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature (K)";
output Modelica.Media.Common.ThermoFluidSpecial.ThermoProperties_pT pro
"Thermodynamic property collection";
protected
Modelica.Media.Common.GibbsDerivs g
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
algorithm
g := Basic.g5(p, T);
pro := Modelica.Media.Common.ThermoFluidSpecial.gibbsToProps_pT(g);
end waterR5_pT;
end ByRegion;
package TwoPhase
"Steam properties in the two-phase region and on the phase boundaries"
extends Modelica.Icons.FunctionsPackage;
function waterLiq_p "Properties on the liquid phase boundary of region 4"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output Modelica.Media.Common.PhaseBoundaryProperties liq
"Liquid thermodynamic property collection";
protected
SI.Temperature Tsat "Saturation temperature";
Real dpT "Derivative of saturation pressure w.r.t. temperature";
SI.Density dl "Liquid density";
Modelica.Media.Common.GibbsDerivs g
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
algorithm
Tsat := Basic.tsat(p);
dpT := Basic.dptofT(Tsat);
if p < data.PLIMIT4A then
g := Basic.g1(p, Tsat);
liq := Modelica.Media.Common.gibbsToBoundaryProps(g);
else
dl := Regions.rhol_p_R4b(p);
f := Basic.f3(dl, Tsat);
liq := Modelica.Media.Common.helmholtzToBoundaryProps(f);
end if;
end waterLiq_p;
function waterVap_p "Properties on the vapour phase boundary of region 4"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
output Modelica.Media.Common.PhaseBoundaryProperties vap
"Vapour thermodynamic property collection";
protected
SI.Temperature Tsat "Saturation temperature";
Real dpT "Derivative of saturation pressure w.r.t. temperature";
SI.Density dv "Vapour density";
Modelica.Media.Common.GibbsDerivs g
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
algorithm
Tsat := Basic.tsat(p);
dpT := Basic.dptofT(Tsat);
if p < data.PLIMIT4A then
g := Basic.g2(p, Tsat);
vap := Modelica.Media.Common.gibbsToBoundaryProps(g);
else
dv := Regions.rhov_p_R4b(p);
f := Basic.f3(dv, Tsat);
vap := Modelica.Media.Common.helmholtzToBoundaryProps(f);
end if;
end waterVap_p;
function waterSat_ph
"Water saturation properties in the 2-phase region (4) as f(p,h)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
output Modelica.Media.Common.SaturationProperties pro
"Thermodynamic property collection";
protected
SI.Density dl "Liquid density";
SI.Density dv "Vapour density";
Modelica.Media.Common.GibbsDerivs gl
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
Modelica.Media.Common.GibbsDerivs gv
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
Modelica.Media.Common.HelmholtzDerivs fl
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Modelica.Media.Common.HelmholtzDerivs fv
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
algorithm
pro.h := h;
pro.p := p;
pro.T := Basic.tsat(p);
pro.dpT := Basic.dptofT(pro.T);
if p < data.PLIMIT4A then
gl := Basic.g1(p, pro.T);
gv := Basic.g2(p, pro.T);
pro.liq := Modelica.Media.Common.gibbsToBoundaryProps(gl);
pro.vap := Modelica.Media.Common.gibbsToBoundaryProps(gv);
else
dl := Regions.rhol_p_R4b(p);
dv := Regions.rhov_p_R4b(p);
fl := Basic.f3(dl, pro.T);
fv := Basic.f3(dv, pro.T);
pro.liq := Modelica.Media.Common.helmholtzToBoundaryProps(fl);
pro.vap := Modelica.Media.Common.helmholtzToBoundaryProps(fv);
end if;
pro.x := if (h < pro.liq.h) then 0.0 else if (pro.vap.h <> pro.liq.h)
then (h - pro.liq.h)/(pro.vap.h - pro.liq.h) else 1.0;
pro.d := pro.liq.d*pro.vap.d/(pro.vap.d + pro.x*(pro.liq.d - pro.vap.d));
pro.u := pro.x*pro.vap.u + (1 - pro.x)*pro.liq.u;
pro.s := pro.x*pro.vap.s + (1 - pro.x)*pro.liq.s;
pro.cp := Modelica.Constants.inf;
pro.cv := Modelica.Media.Common.cv2Phase(
pro.liq,
pro.vap,
pro.x,
pro.T,
p);
pro.kappa := 1/(pro.d*p)*pro.dpT*pro.dpT*pro.T/pro.cv;
pro.R_s := data.RH2O;
end waterSat_ph;
function waterR4_ph
"Water/Steam properties in region 4 of IAPWS/IF97 (two-phase)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
output Modelica.Media.Common.ThermoFluidSpecial.ThermoProperties_ph pro
"Thermodynamic property collection";
protected
SI.Density dl "Liquid density";
SI.Density dv "Vapour density";
Modelica.Media.Common.PhaseBoundaryProperties liq
"Phase boundary property record";
Modelica.Media.Common.PhaseBoundaryProperties vap
"Phase boundary property record";
Modelica.Media.Common.GibbsDerivs gl
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
Modelica.Media.Common.GibbsDerivs gv
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
Modelica.Media.Common.HelmholtzDerivs fl
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Modelica.Media.Common.HelmholtzDerivs fv
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Real x "Dryness fraction";
Real dpT "Derivative of saturation curve";
algorithm
pro.T := Basic.tsat(p);
dpT := Basic.dptofT(pro.T);
dl := Regions.rhol_p_R4b(p);
dv := Regions.rhov_p_R4b(p);
if p < data.PLIMIT4A then
gl := Basic.g1(p, pro.T);
gv := Basic.g2(p, pro.T);
liq := Modelica.Media.Common.gibbsToBoundaryProps(gl);
vap := Modelica.Media.Common.gibbsToBoundaryProps(gv);
else
fl := Basic.f3(dl, pro.T);
fv := Basic.f3(dv, pro.T);
liq := Modelica.Media.Common.helmholtzToBoundaryProps(fl);
vap := Modelica.Media.Common.helmholtzToBoundaryProps(fv);
end if;
x := if (vap.h <> liq.h) then (h - liq.h)/(vap.h - liq.h) else 1.0;
pro.d := liq.d*vap.d/(vap.d + x*(liq.d - vap.d));
pro.u := x*vap.u + (1 - x)*liq.u;
pro.s := x*vap.s + (1 - x)*liq.s;
pro.cp := Modelica.Constants.inf;
pro.cv := Modelica.Media.Common.cv2Phase(
liq,
vap,
x,
pro.T,
p);
pro.kappa := 1/(pro.d*p)*dpT*dpT*pro.T/pro.cv;
pro.a := Modelica.Constants.inf;
pro.R_s := data.RH2O;
pro.ddph := pro.d*(pro.d*pro.cv/dpT + 1.0)/(dpT*pro.T);
pro.ddhp := -pro.d*pro.d/(dpT*pro.T);
end waterR4_ph;
function waterR4_dT "Water properties in region 4 as function of d and T"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
output Modelica.Media.Common.ThermoFluidSpecial.ThermoProperties_dT pro
"Thermodynamic property collection";
protected
SI.Density dl "Liquid density";
SI.Density dv "Vapour density";
Modelica.Media.Common.PhaseBoundaryProperties liq
"Phase boundary property record";
Modelica.Media.Common.PhaseBoundaryProperties vap
"Phase boundary property record";
Modelica.Media.Common.GibbsDerivs gl
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
Modelica.Media.Common.GibbsDerivs gv
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
Modelica.Media.Common.HelmholtzDerivs fl
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Modelica.Media.Common.HelmholtzDerivs fv
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Real x "Dryness fraction";
Real dpT "Derivative of saturation curve";
algorithm
pro.p := Basic.psat(T);
dpT := Basic.dptofT(T);
dl := Regions.rhol_p_R4b(pro.p);
dv := Regions.rhov_p_R4b(pro.p);
if pro.p < data.PLIMIT4A then
gl := Basic.g1(pro.p, T);
gv := Basic.g2(pro.p, T);
liq := Modelica.Media.Common.gibbsToBoundaryProps(gl);
vap := Modelica.Media.Common.gibbsToBoundaryProps(gv);
else
fl := Basic.f3(dl, T);
fv := Basic.f3(dv, T);
liq := Modelica.Media.Common.helmholtzToBoundaryProps(fl);
vap := Modelica.Media.Common.helmholtzToBoundaryProps(fv);
end if;
x := if (vap.d <> liq.d) then (1/d - 1/liq.d)/(1/vap.d - 1/liq.d) else
1.0;
pro.u := x*vap.u + (1 - x)*liq.u;
pro.h := x*vap.h + (1 - x)*liq.h;
pro.cp := Modelica.Constants.inf;
pro.cv := Modelica.Media.Common.cv2Phase(
liq,
vap,
x,
T,
pro.p);
pro.kappa := 1/(d*pro.p)*dpT*dpT*T/pro.cv;
pro.a := Modelica.Constants.inf;
pro.R_s := data.RH2O;
pro.dudT := (pro.p - T*dpT)/(d*d);
end waterR4_dT;
end TwoPhase;
function extraDerivs_ph
"Function to calculate some extra thermophysical properties in regions 1, 2, 3 and 5 as f(p,h)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Integer phase=0
"Phase: 2 for two-phase, 1 for one phase, 0 if unknown";
output Modelica.Media.Common.ExtraDerivatives dpro
"Thermodynamic property collection";
protected
SI.Density d "Density";
SI.Temperature T "Temperature";
Integer region "IF97 region";
Integer error "Error flag";
Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Modelica.Media.Common.GibbsDerivs g
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
algorithm
assert(phase == 1,
"ExtraDerivs_ph: properties are not implemented in 2 phase region");
region := Regions.region_ph(
p=p,
h=h,
phase=phase);
if region == 1 then
T := Basic.tph1(p, h);
g := Basic.g1(p, T);
dpro := Modelica.Media.Common.gibbsToExtraDerivs(g);
elseif region == 2 then
T := Basic.tph2(p, h);
g := Basic.g2(p, T);
dpro := Modelica.Media.Common.gibbsToExtraDerivs(g);
elseif region == 3 then
(d,T,error) := Inverses.dtofph3(
p=p,
h=h,
delp=1.0e-7,
delh=1.0e-6);
f := Basic.f3(d, T);
dpro := Modelica.Media.Common.helmholtzToExtraDerivs(f);
elseif region == 5 then
// region assumed to be 5
(T,error) := Inverses.tofph5(
p=p,
h=h,
reldh=1.0e-7);
g := Basic.g5(p, T);
dpro := Modelica.Media.Common.gibbsToExtraDerivs(g);
end if;
end extraDerivs_ph;
function extraDerivs_pT
"Function to calculate some extra thermophysical properties in regions 1, 2, 3 and 5 as f(p,T)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
output Modelica.Media.Common.ExtraDerivatives dpro
"Thermodynamic property collection";
protected
SI.Density d "Density";
Integer region "IF97 region";
Integer error "Error flag";
Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Modelica.Media.Common.GibbsDerivs g
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
algorithm
region := Regions.region_pT(p=p, T=T);
if region == 1 then
g := Basic.g1(p, T);
dpro := Modelica.Media.Common.gibbsToExtraDerivs(g);
elseif region == 2 then
g := Basic.g2(p, T);
dpro := Modelica.Media.Common.gibbsToExtraDerivs(g);
elseif region == 3 then
(d,error) := Inverses.dofpt3(
p=p,
T=T,
delp=1.0e-7);
f := Basic.f3(d, T);
dpro := Modelica.Media.Common.helmholtzToExtraDerivs(f);
elseif region == 5 then
// region assumed to be 5
g := Basic.g5(p, T);
dpro := Modelica.Media.Common.gibbsToExtraDerivs(g);
end if;
end extraDerivs_pT;
end BaseIF97;
replaceable record iter = BaseIF97.IterationData;
function waterBaseProp_ph "Intermediate property record for water"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Integer phase=0
"Phase: 2 for two-phase, 1 for one phase, 0 if unknown";
input Integer region=0
"If 0, do region computation, otherwise assume the region is this input";
output Common.IF97BaseTwoPhase aux "Auxiliary record";
protected
Common.GibbsDerivs g
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Integer error "Error flag for inverse iterations";
SI.SpecificEnthalpy h_liq "Liquid specific enthalpy";
SI.Density d_liq "Liquid density";
SI.SpecificEnthalpy h_vap "Vapour specific enthalpy";
SI.Density d_vap "Vapour density";
Common.PhaseBoundaryProperties liq "Phase boundary property record";
Common.PhaseBoundaryProperties vap "Phase boundary property record";
Common.GibbsDerivs gl
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
Common.GibbsDerivs gv
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
Modelica.Media.Common.HelmholtzDerivs fl
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Modelica.Media.Common.HelmholtzDerivs fv
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
SI.Temperature t1
"Temperature at phase boundary, using inverse from region 1";
SI.Temperature t2
"Temperature at phase boundary, using inverse from region 2";
algorithm
aux.region := if region == 0 then (if phase == 2 then 4 else
BaseIF97.Regions.region_ph(
p=p,
h=h,
phase=phase)) else region;
aux.phase := if phase <> 0 then phase else if aux.region == 4 then 2 else 1;
aux.p := max(p, 611.657);
aux.h := max(h, 1e3);
aux.R_s := BaseIF97.data.RH2O;
aux.vt := 0.0 "Initialized in case it is not needed";
aux.vp := 0.0 "Initialized in case it is not needed";
if (aux.region == 1) then
aux.T := BaseIF97.Basic.tph1(aux.p, aux.h);
g := BaseIF97.Basic.g1(p, aux.T);
aux.s := aux.R_s*(g.tau*g.gtau - g.g);
aux.rho := p/(aux.R_s*aux.T*g.pi*g.gpi);
aux.vt := aux.R_s/p*(g.pi*g.gpi - g.tau*g.pi*g.gtaupi);
aux.pt := -g.p/g.T*(g.gpi - g.tau*g.gtaupi)/(g.gpipi*g.pi);
aux.pd := -g.R_s*g.T*g.gpi*g.gpi/(g.gpipi);
aux.vp := aux.R_s*aux.T/(p*p)*g.pi*g.pi*g.gpipi;
aux.cp := -aux.R_s*g.tau*g.tau*g.gtautau;
aux.cv := aux.R_s*(-g.tau*g.tau*g.gtautau + ((g.gpi - g.tau*g.gtaupi)*(g.gpi
- g.tau*g.gtaupi)/g.gpipi));
aux.x := 0.0;
aux.dpT := -aux.vt/aux.vp;
elseif (aux.region == 2) then
aux.T := BaseIF97.Basic.tph2(aux.p, aux.h);
g := BaseIF97.Basic.g2(p, aux.T);
aux.s := aux.R_s*(g.tau*g.gtau - g.g);
aux.rho := p/(aux.R_s*aux.T*g.pi*g.gpi);
aux.vt := aux.R_s/p*(g.pi*g.gpi - g.tau*g.pi*g.gtaupi);
aux.vp := aux.R_s*aux.T/(p*p)*g.pi*g.pi*g.gpipi;
aux.pt := -g.p/g.T*(g.gpi - g.tau*g.gtaupi)/(g.gpipi*g.pi);
aux.pd := -g.R_s*g.T*g.gpi*g.gpi/(g.gpipi);
aux.cp := -aux.R_s*g.tau*g.tau*g.gtautau;
aux.cv := aux.R_s*(-g.tau*g.tau*g.gtautau + ((g.gpi - g.tau*g.gtaupi)*(g.gpi
- g.tau*g.gtaupi)/g.gpipi));
aux.x := 1.0;
aux.dpT := -aux.vt/aux.vp;
elseif (aux.region == 3) then
(aux.rho,aux.T,error) := BaseIF97.Inverses.dtofph3(
p=aux.p,
h=aux.h,
delp=1.0e-7,
delh=1.0e-6);
f := BaseIF97.Basic.f3(aux.rho, aux.T);
aux.h := aux.R_s*aux.T*(f.tau*f.ftau + f.delta*f.fdelta);
aux.s := aux.R_s*(f.tau*f.ftau - f.f);
aux.pd := aux.R_s*aux.T*f.delta*(2.0*f.fdelta + f.delta*f.fdeltadelta);
aux.pt := aux.R_s*aux.rho*f.delta*(f.fdelta - f.tau*f.fdeltatau);
aux.cv := abs(aux.R_s*(-f.tau*f.tau*f.ftautau))
"Can be close to neg. infinity near critical point";
aux.cp := (aux.rho*aux.rho*aux.pd*aux.cv + aux.T*aux.pt*aux.pt)/(aux.rho*
aux.rho*aux.pd);
aux.x := 0.0;
aux.dpT := aux.pt;
/*safety against div-by-0 in initialization*/
elseif (aux.region == 4) then
h_liq := hl_p(p);
h_vap := hv_p(p);
aux.x := if (h_vap <> h_liq) then (h - h_liq)/(h_vap - h_liq) else 1.0;
if p < BaseIF97.data.PLIMIT4A then
t1 := BaseIF97.Basic.tph1(aux.p, h_liq);
t2 := BaseIF97.Basic.tph2(aux.p, h_vap);
gl := BaseIF97.Basic.g1(aux.p, t1);
gv := BaseIF97.Basic.g2(aux.p, t2);
liq := Common.gibbsToBoundaryProps(gl);
vap := Common.gibbsToBoundaryProps(gv);
aux.T := t1 + aux.x*(t2 - t1);
else
aux.T := BaseIF97.Basic.tsat(aux.p);
// how to avoid ?
d_liq := rhol_T(aux.T);
d_vap := rhov_T(aux.T);
fl := BaseIF97.Basic.f3(d_liq, aux.T);
fv := BaseIF97.Basic.f3(d_vap, aux.T);
liq := Common.helmholtzToBoundaryProps(fl);
vap := Common.helmholtzToBoundaryProps(fv);
// aux.dpT := BaseIF97.Basic.dptofT(aux.T);
end if;
aux.dpT := if (liq.d <> vap.d) then (vap.s - liq.s)*liq.d*vap.d/(liq.d -
vap.d) else BaseIF97.Basic.dptofT(aux.T);
aux.s := liq.s + aux.x*(vap.s - liq.s);
aux.rho := liq.d*vap.d/(vap.d + aux.x*(liq.d - vap.d));
aux.cv := Common.cv2Phase(
liq,
vap,
aux.x,
aux.T,
p);
aux.cp := liq.cp + aux.x*(vap.cp - liq.cp);
aux.pt := liq.pt + aux.x*(vap.pt - liq.pt);
aux.pd := liq.pd + aux.x*(vap.pd - liq.pd);
elseif (aux.region == 5) then
(aux.T,error) := BaseIF97.Inverses.tofph5(
p=aux.p,
h=aux.h,
reldh=1.0e-7);
assert(error == 0, "Error in inverse iteration of steam tables");
g := BaseIF97.Basic.g5(aux.p, aux.T);
aux.s := aux.R_s*(g.tau*g.gtau - g.g);
aux.rho := p/(aux.R_s*aux.T*g.pi*g.gpi);
aux.vt := aux.R_s/p*(g.pi*g.gpi - g.tau*g.pi*g.gtaupi);
aux.vp := aux.R_s*aux.T/(p*p)*g.pi*g.pi*g.gpipi;
aux.pt := -g.p/g.T*(g.gpi - g.tau*g.gtaupi)/(g.gpipi*g.pi);
aux.pd := -g.R_s*g.T*g.gpi*g.gpi/(g.gpipi);
aux.cp := -aux.R_s*g.tau*g.tau*g.gtautau;
aux.cv := aux.R_s*(-g.tau*g.tau*g.gtautau + ((g.gpi - g.tau*g.gtaupi)*(g.gpi
- g.tau*g.gtaupi)/g.gpipi));
aux.dpT := -aux.vt/aux.vp;
else
assert(false, "Error in region computation of IF97 steam tables" +
"(p = " + String(p) + ", h = " + String(h) + ")");
end if;
end waterBaseProp_ph;
function waterBaseProp_ps "Intermediate property record for water"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
input Integer phase=0
"Phase: 2 for two-phase, 1 for one phase, 0 if unknown";
input Integer region=0
"If 0, do region computation, otherwise assume the region is this input";
output Common.IF97BaseTwoPhase aux "Auxiliary record";
protected
Common.GibbsDerivs g
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Integer error "Error flag for inverse iterations";
SI.SpecificEntropy s_liq "Liquid specific entropy";
SI.Density d_liq "Liquid density";
SI.SpecificEntropy s_vap "Vapour specific entropy";
SI.Density d_vap "Vapour density";
Common.PhaseBoundaryProperties liq "Phase boundary property record";
Common.PhaseBoundaryProperties vap "Phase boundary property record";
Common.GibbsDerivs gl
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
Common.GibbsDerivs gv
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
Modelica.Media.Common.HelmholtzDerivs fl
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Modelica.Media.Common.HelmholtzDerivs fv
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
SI.Temperature t1
"Temperature at phase boundary, using inverse from region 1";
SI.Temperature t2
"Temperature at phase boundary, using inverse from region 2";
algorithm
aux.region := if region == 0 then (if phase == 2 then 4 else
BaseIF97.Regions.region_ps(
p=p,
s=s,
phase=phase)) else region;
aux.phase := if phase <> 0 then phase else if aux.region == 4 then 2 else 1;
aux.p := p;
aux.s := s;
aux.R_s := BaseIF97.data.RH2O;
aux.vt := 0.0 "Initialized in case it is not needed";
aux.vp := 0.0 "Initialized in case it is not needed";
if (aux.region == 1) then
aux.T := BaseIF97.Basic.tps1(p, s);
g := BaseIF97.Basic.g1(p, aux.T);
aux.h := aux.R_s*aux.T*g.tau*g.gtau;
aux.rho := p/(aux.R_s*aux.T*g.pi*g.gpi);
aux.vt := aux.R_s/p*(g.pi*g.gpi - g.tau*g.pi*g.gtaupi);
aux.vp := aux.R_s*aux.T/(p*p)*g.pi*g.pi*g.gpipi;
aux.pt := -g.p/g.T*(g.gpi - g.tau*g.gtaupi)/(g.gpipi*g.pi);
aux.pd := -g.R_s*g.T*g.gpi*g.gpi/(g.gpipi);
aux.cp := -aux.R_s*g.tau*g.tau*g.gtautau;
aux.cv := aux.R_s*(-g.tau*g.tau*g.gtautau + ((g.gpi - g.tau*g.gtaupi)*(g.gpi
- g.tau*g.gtaupi)/g.gpipi));
aux.x := 0.0;
aux.dpT := -aux.vt/aux.vp;
elseif (aux.region == 2) then
aux.T := BaseIF97.Basic.tps2(p, s);
g := BaseIF97.Basic.g2(p, aux.T);
aux.h := aux.R_s*aux.T*g.tau*g.gtau;
aux.rho := p/(aux.R_s*aux.T*g.pi*g.gpi);
aux.vt := aux.R_s/p*(g.pi*g.gpi - g.tau*g.pi*g.gtaupi);
aux.vp := aux.R_s*aux.T/(p*p)*g.pi*g.pi*g.gpipi;
aux.pt := -g.p/g.T*(g.gpi - g.tau*g.gtaupi)/(g.gpipi*g.pi);
aux.pd := -g.R_s*g.T*g.gpi*g.gpi/(g.gpipi);
aux.cp := -aux.R_s*g.tau*g.tau*g.gtautau;
aux.cv := aux.R_s*(-g.tau*g.tau*g.gtautau + ((g.gpi - g.tau*g.gtaupi)*(g.gpi
- g.tau*g.gtaupi)/g.gpipi));
aux.x := 1.0;
aux.dpT := -aux.vt/aux.vp;
elseif (aux.region == 3) then
(aux.rho,aux.T,error) := BaseIF97.Inverses.dtofps3(
p=p,
s=s,
delp=1.0e-7,
dels=1.0e-6);
f := BaseIF97.Basic.f3(aux.rho, aux.T);
aux.h := aux.R_s*aux.T*(f.tau*f.ftau + f.delta*f.fdelta);
aux.s := aux.R_s*(f.tau*f.ftau - f.f);
aux.pd := aux.R_s*aux.T*f.delta*(2.0*f.fdelta + f.delta*f.fdeltadelta);
aux.pt := aux.R_s*aux.rho*f.delta*(f.fdelta - f.tau*f.fdeltatau);
aux.cv := aux.R_s*(-f.tau*f.tau*f.ftautau);
aux.cp := (aux.rho*aux.rho*aux.pd*aux.cv + aux.T*aux.pt*aux.pt)/(aux.rho*
aux.rho*aux.pd);
aux.x := 0.0;
aux.dpT := aux.pt;
/*safety against div-by-0 in initialization*/
elseif (aux.region == 4) then
s_liq := BaseIF97.Regions.sl_p(p);
s_vap := BaseIF97.Regions.sv_p(p);
aux.x := if (s_vap <> s_liq) then (s - s_liq)/(s_vap - s_liq) else 1.0;
if p < BaseIF97.data.PLIMIT4A then
t1 := BaseIF97.Basic.tps1(p, s_liq);
t2 := BaseIF97.Basic.tps2(p, s_vap);
gl := BaseIF97.Basic.g1(p, t1);
gv := BaseIF97.Basic.g2(p, t2);
liq := Common.gibbsToBoundaryProps(gl);
vap := Common.gibbsToBoundaryProps(gv);
aux.T := t1 + aux.x*(t2 - t1);
else
aux.T := BaseIF97.Basic.tsat(p);
d_liq := rhol_T(aux.T);
d_vap := rhov_T(aux.T);
fl := BaseIF97.Basic.f3(d_liq, aux.T);
fv := BaseIF97.Basic.f3(d_vap, aux.T);
liq := Common.helmholtzToBoundaryProps(fl);
vap := Common.helmholtzToBoundaryProps(fv);
end if;
aux.dpT := if (liq.d <> vap.d) then (vap.s - liq.s)*liq.d*vap.d/(liq.d -
vap.d) else BaseIF97.Basic.dptofT(aux.T);
aux.h := liq.h + aux.x*(vap.h - liq.h);
aux.rho := liq.d*vap.d/(vap.d + aux.x*(liq.d - vap.d));
aux.cv := Common.cv2Phase(
liq,
vap,
aux.x,
aux.T,
p);
aux.cp := liq.cp + aux.x*(vap.cp - liq.cp);
aux.pt := liq.pt + aux.x*(vap.pt - liq.pt);
aux.pd := liq.pd + aux.x*(vap.pd - liq.pd);
elseif (aux.region == 5) then
(aux.T,error) := BaseIF97.Inverses.tofps5(
p=p,
s=s,
relds=1.0e-7);
assert(error == 0, "Error in inverse iteration of steam tables");
g := BaseIF97.Basic.g5(p, aux.T);
aux.h := aux.R_s*aux.T*g.tau*g.gtau;
aux.rho := p/(aux.R_s*aux.T*g.pi*g.gpi);
aux.vt := aux.R_s/p*(g.pi*g.gpi - g.tau*g.pi*g.gtaupi);
aux.vp := aux.R_s*aux.T/(p*p)*g.pi*g.pi*g.gpipi;
aux.pt := -g.p/g.T*(g.gpi - g.tau*g.gtaupi)/(g.gpipi*g.pi);
aux.pd := -g.R_s*g.T*g.gpi*g.gpi/(g.gpipi);
aux.cp := -aux.R_s*g.tau*g.tau*g.gtautau;
aux.cv := aux.R_s*(-g.tau*g.tau*g.gtautau + ((g.gpi - g.tau*g.gtaupi)*(g.gpi
- g.tau*g.gtaupi)/g.gpipi));
aux.dpT := -aux.vt/aux.vp;
aux.x := 1.0;
else
assert(false, "Error in region computation of IF97 steam tables" +
"(p = " + String(p) + ", s = " + String(s) + ")");
end if;
end waterBaseProp_ps;
function rho_props_ps "Density as function of pressure and specific entropy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
input Common.IF97BaseTwoPhase properties "Auxiliary record";
output SI.Density rho "Density";
algorithm
rho := properties.rho;
end rho_props_ps;
function rho_ps "Density as function of pressure and specific entropy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.Density rho "Density";
algorithm
rho := rho_props_ps(
p,
s,
waterBaseProp_ps(
p,
s,
phase,
region));
end rho_ps;
function T_props_ps
"Temperature as function of pressure and specific entropy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
input Common.IF97BaseTwoPhase properties "Auxiliary record";
output SI.Temperature T "Temperature";
algorithm
T := properties.T;
end T_props_ps;
function T_ps "Temperature as function of pressure and specific entropy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.Temperature T "Temperature";
algorithm
T := T_props_ps(
p,
s,
waterBaseProp_ps(
p,
s,
phase,
region));
end T_ps;
function h_props_ps
"Specific enthalpy as function or pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output SI.SpecificEnthalpy h "Specific enthalpy";
algorithm
h := aux.h;
end h_props_ps;
function h_ps "Specific enthalpy as function or pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.SpecificEnthalpy h "Specific enthalpy";
algorithm
h := h_props_ps(
p,
s,
waterBaseProp_ps(
p,
s,
phase,
region));
end h_ps;
function phase_ps "Phase as a function of pressure and specific entropy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
output Integer phase "True if in liquid or gas or supercritical region";
algorithm
phase := if ((s < sl_p(p) or s > sv_p(p)) or p > BaseIF97.data.PCRIT) then
1 else 2;
end phase_ps;
function phase_ph "Phase as a function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
output Integer phase "True if in liquid or gas or supercritical region";
algorithm
phase := if ((h < hl_p(p) or h > hv_p(p)) or p > BaseIF97.data.PCRIT) then
1 else 2;
end phase_ph;
function phase_dT "Phase as a function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Density rho "Density";
input SI.Temperature T "Temperature";
output Integer phase "True if in liquid or gas or supercritical region";
algorithm
phase := if not ((rho < rhol_T(T) and rho > rhov_T(T)) and T < BaseIF97.data.TCRIT)
then 1 else 2;
end phase_dT;
function rho_props_ph "Density as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.IF97BaseTwoPhase properties "Auxiliary record";
output SI.Density rho "Density";
algorithm
rho := properties.rho;
end rho_props_ph;
function rho_ph "Density as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.Density rho "Density";
algorithm
rho := rho_props_ph(
p,
h,
waterBaseProp_ph(
p,
h,
phase,
region));
end rho_ph;
function rho_ph_der "Derivative function of rho_ph"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.IF97BaseTwoPhase properties "Auxiliary record";
input Real p_der "Derivative of pressure";
input Real h_der "Derivative of specific enthalpy";
output Real rho_der "Derivative of density";
algorithm
if (properties.region == 4) then
rho_der := (properties.rho*(properties.rho*properties.cv/properties.dpT + 1.0)/(properties.dpT*properties.T))*p_der
+ (-properties.rho*properties.rho/(properties.dpT*properties.T))*h_der;
elseif (properties.region == 3) then
rho_der := ((properties.rho*(properties.cv*properties.rho + properties.pt))/(properties.rho*properties.rho*properties.pd*
properties.cv + properties.T*properties.pt*properties.pt))*p_der + (-properties.rho*properties.rho*properties.pt/(properties.rho
*properties.rho*properties.pd*properties.cv + properties.T*properties.pt*properties.pt))*h_der;
else
//regions 1,2,5
rho_der := (-properties.rho*properties.rho*(properties.vp*properties.cp - properties.vt/properties.rho + properties.T*properties.vt
*properties.vt)/properties.cp)*p_der + (-properties.rho*properties.rho*properties.vt/(properties.cp))*h_der;
end if;
end rho_ph_der;
function T_props_ph
"Temperature as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.IF97BaseTwoPhase properties "Auxiliary record";
output SI.Temperature T "Temperature";
algorithm
T := properties.T;
end T_props_ph;
function T_ph "Temperature as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.Temperature T "Temperature";
algorithm
T := T_props_ph(
p,
h,
waterBaseProp_ph(
p,
h,
phase,
region));
end T_ph;
function T_ph_der "Derivative function of T_ph"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.IF97BaseTwoPhase properties "Auxiliary record";
input Real p_der "Derivative of pressure";
input Real h_der "Derivative of specific enthalpy";
output Real T_der "Derivative of temperature";
algorithm
if (properties.region == 4) then
T_der := 1/properties.dpT*p_der;
elseif (properties.region == 3) then
T_der := ((-properties.rho*properties.pd + properties.T*properties.pt)/(properties.rho*properties.rho*properties.pd*properties.cv
+ properties.T*properties.pt*properties.pt))*p_der + ((properties.rho*properties.rho*properties.pd)/(properties.rho*properties.rho
*properties.pd*properties.cv + properties.T*properties.pt*properties.pt))*h_der;
else
//regions 1,2 or 5
T_der := ((-1/properties.rho + properties.T*properties.vt)/properties.cp)*p_der + (1/properties.cp)*h_der;
end if;
end T_ph_der;
function s_props_ph
"Specific entropy as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.IF97BaseTwoPhase properties "Auxiliary record";
output SI.SpecificEntropy s "Specific entropy";
algorithm
s := properties.s;
end s_props_ph;
function s_ph
"Specific entropy as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.SpecificEntropy s "Specific entropy";
algorithm
s := s_props_ph(
p,
h,
waterBaseProp_ph(
p,
h,
phase,
region));
end s_ph;
function s_ph_der
"Specific entropy as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.IF97BaseTwoPhase properties "Auxiliary record";
input Real p_der "Derivative of pressure";
input Real h_der "Derivative of specific enthalpy";
output Real s_der "Derivative of entropy";
algorithm
s_der := -1/(properties.rho*properties.T)*p_der + 1/properties.T*h_der;
end s_ph_der;
function cv_props_ph
"Specific heat capacity at constant volume as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output SI.SpecificHeatCapacity cv "Specific heat capacity";
algorithm
cv := aux.cv;
end cv_props_ph;
function cv_ph
"Specific heat capacity at constant volume as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.SpecificHeatCapacity cv "Specific heat capacity";
algorithm
cv := cv_props_ph(
p,
h,
waterBaseProp_ph(
p,
h,
phase,
region));
end cv_ph;
function regionAssertReal "Assert function for inlining"
extends Modelica.Icons.Function;
input Boolean check "Condition to check";
output Real dummy "Dummy output";
algorithm
assert(check, "This function can not be called with two-phase inputs!");
end regionAssertReal;
function cp_props_ph
"Specific heat capacity at constant pressure as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output SI.SpecificHeatCapacity cp "Specific heat capacity";
algorithm
cp := aux.cp;
end cp_props_ph;
function cp_ph
"Specific heat capacity at constant pressure as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.SpecificHeatCapacity cp "Specific heat capacity";
algorithm
cp := cp_props_ph(
p,
h,
waterBaseProp_ph(
p,
h,
phase,
region));
end cp_ph;
function beta_props_ph
"Isobaric expansion coefficient as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output SI.RelativePressureCoefficient beta "Isobaric expansion coefficient";
algorithm
beta := if aux.region == 3 or aux.region == 4 then aux.pt/(aux.rho*aux.pd)
else aux.vt*aux.rho;
end beta_props_ph;
function beta_ph
"Isobaric expansion coefficient as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.RelativePressureCoefficient beta "Isobaric expansion coefficient";
algorithm
beta := beta_props_ph(
p,
h,
waterBaseProp_ph(
p,
h,
phase,
region));
end beta_ph;
function kappa_props_ph
"Isothermal compressibility factor as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output SI.IsothermalCompressibility kappa
"Isothermal compressibility factor";
algorithm
kappa := if aux.region == 3 or aux.region == 4 then 1/(aux.rho*aux.pd)
else -aux.vp*aux.rho;
end kappa_props_ph;
function kappa_ph
"Isothermal compressibility factor as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.IsothermalCompressibility kappa
"Isothermal compressibility factor";
algorithm
kappa := kappa_props_ph(
p,
h,
waterBaseProp_ph(
p,
h,
phase,
region));
end kappa_ph;
function velocityOfSound_props_ph
"Speed of sound as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output SI.Velocity v_sound "Speed of sound";
algorithm
// dp/drho at constant s
v_sound := if aux.region == 3 then sqrt(max(0, (aux.pd*aux.rho*aux.rho*aux.cv
+ aux.pt*aux.pt*aux.T)/(aux.rho*aux.rho*aux.cv))) else if aux.region ==
4 then sqrt(max(0, 1/((aux.rho*(aux.rho*aux.cv/aux.dpT + 1.0)/(aux.dpT*
aux.T)) - 1/aux.rho*aux.rho*aux.rho/(aux.dpT*aux.T)))) else sqrt(max(0, -
aux.cp/(aux.rho*aux.rho*(aux.vp*aux.cp + aux.vt*aux.vt*aux.T))));
end velocityOfSound_props_ph;
function velocityOfSound_ph
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.Velocity v_sound "Speed of sound";
algorithm
v_sound := velocityOfSound_props_ph(
p,
h,
waterBaseProp_ph(
p,
h,
phase,
region));
end velocityOfSound_ph;
function isentropicExponent_props_ph
"Isentropic exponent as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output Real gamma "Isentropic exponent";
algorithm
gamma := if aux.region == 3 then 1/(aux.rho*p)*((aux.pd*aux.cv*aux.rho*aux.rho
+ aux.pt*aux.pt*aux.T)/(aux.cv)) else if aux.region == 4 then 1/(aux.rho
*p)*aux.dpT*aux.dpT*aux.T/aux.cv else -1/(aux.rho*aux.p)*aux.cp/(aux.vp*
aux.cp + aux.vt*aux.vt*aux.T);
end isentropicExponent_props_ph;
function isentropicExponent_ph
"Isentropic exponent as function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output Real gamma "Isentropic exponent";
algorithm
gamma := isentropicExponent_props_ph(
p,
h,
waterBaseProp_ph(
p,
h,
phase,
region));
end isentropicExponent_ph;
function ddph_props "Density derivative by pressure"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output SI.DerDensityByPressure ddph "Density derivative by pressure";
algorithm
ddph := if aux.region == 3 then ((aux.rho*(aux.cv*aux.rho + aux.pt))/(aux.rho
*aux.rho*aux.pd*aux.cv + aux.T*aux.pt*aux.pt)) else if aux.region == 4
then (aux.rho*(aux.rho*aux.cv/aux.dpT + 1.0)/(aux.dpT*aux.T)) else (-aux.rho
*aux.rho*(aux.vp*aux.cp - aux.vt/aux.rho + aux.T*aux.vt*aux.vt)/aux.cp);
end ddph_props;
function ddph "Density derivative by pressure"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.DerDensityByPressure ddph "Density derivative by pressure";
algorithm
ddph := ddph_props(
p,
h,
waterBaseProp_ph(
p,
h,
phase,
region));
end ddph;
function ddhp_props "Density derivative by specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output SI.DerDensityByEnthalpy ddhp
"Density derivative by specific enthalpy";
algorithm
ddhp := if aux.region == 3 then -aux.rho*aux.rho*aux.pt/(aux.rho*aux.rho*
aux.pd*aux.cv + aux.T*aux.pt*aux.pt) else if aux.region == 4 then -aux.rho
*aux.rho/(aux.dpT*aux.T) else -aux.rho*aux.rho*aux.vt/(aux.cp);
end ddhp_props;
function ddhp "Density derivative by specific enthalpy"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.DerDensityByEnthalpy ddhp
"Density derivative by specific enthalpy";
algorithm
ddhp := ddhp_props(
p,
h,
waterBaseProp_ph(
p,
h,
phase,
region));
end ddhp;
function waterBaseProp_pT
"Intermediate property record for water (p and T preferred states)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Integer region=0
"If 0, do region computation, otherwise assume the region is this input";
output Common.IF97BaseTwoPhase aux "Auxiliary record";
protected
Common.GibbsDerivs g
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Integer error "Error flag for inverse iterations";
algorithm
aux.phase := 1;
aux.region := if region == 0 then BaseIF97.Regions.region_pT(p=p, T=T)
else region;
aux.R_s := BaseIF97.data.RH2O;
aux.p := p;
aux.T := T;
aux.vt := 0.0 "Initialized in case it is not needed";
aux.vp := 0.0 "Initialized in case it is not needed";
if (aux.region == 1) then
g := BaseIF97.Basic.g1(p, T);
aux.h := aux.R_s*aux.T*g.tau*g.gtau;
aux.s := aux.R_s*(g.tau*g.gtau - g.g);
aux.rho := p/(aux.R_s*T*g.pi*g.gpi);
aux.vt := aux.R_s/p*(g.pi*g.gpi - g.tau*g.pi*g.gtaupi);
aux.vp := aux.R_s*T/(p*p)*g.pi*g.pi*g.gpipi;
aux.cp := -aux.R_s*g.tau*g.tau*g.gtautau;
aux.cv := aux.R_s*(-g.tau*g.tau*g.gtautau + ((g.gpi - g.tau*g.gtaupi)*(g.gpi
- g.tau*g.gtaupi)/g.gpipi));
aux.x := 0.0;
aux.dpT := -aux.vt/aux.vp;
aux.pt := -g.p/g.T*(g.gpi - g.tau*g.gtaupi)/(g.gpipi*g.pi);
aux.pd := -g.R_s*g.T*g.gpi*g.gpi/(g.gpipi);
elseif (aux.region == 2) then
g := BaseIF97.Basic.g2(p, T);
aux.h := aux.R_s*aux.T*g.tau*g.gtau;
aux.s := aux.R_s*(g.tau*g.gtau - g.g);
aux.rho := p/(aux.R_s*T*g.pi*g.gpi);
aux.vt := aux.R_s/p*(g.pi*g.gpi - g.tau*g.pi*g.gtaupi);
aux.vp := aux.R_s*T/(p*p)*g.pi*g.pi*g.gpipi;
aux.pt := -g.p/g.T*(g.gpi - g.tau*g.gtaupi)/(g.gpipi*g.pi);
aux.pd := -g.R_s*g.T*g.gpi*g.gpi/(g.gpipi);
aux.cp := -aux.R_s*g.tau*g.tau*g.gtautau;
aux.cv := aux.R_s*(-g.tau*g.tau*g.gtautau + ((g.gpi - g.tau*g.gtaupi)*(g.gpi
- g.tau*g.gtaupi)/g.gpipi));
aux.x := 1.0;
aux.dpT := -aux.vt/aux.vp;
elseif (aux.region == 3) then
(aux.rho,error) := BaseIF97.Inverses.dofpt3(
p=p,
T=T,
delp=1.0e-7);
f := BaseIF97.Basic.f3(aux.rho, T);
aux.h := aux.R_s*T*(f.tau*f.ftau + f.delta*f.fdelta);
aux.s := aux.R_s*(f.tau*f.ftau - f.f);
aux.pd := aux.R_s*T*f.delta*(2.0*f.fdelta + f.delta*f.fdeltadelta);
aux.pt := aux.R_s*aux.rho*f.delta*(f.fdelta - f.tau*f.fdeltatau);
aux.cv := aux.R_s*(-f.tau*f.tau*f.ftautau);
aux.x := 0.0;
aux.dpT := aux.pt;
/*safety against div-by-0 in initialization*/
elseif (aux.region == 5) then
g := BaseIF97.Basic.g5(p, T);
aux.h := aux.R_s*aux.T*g.tau*g.gtau;
aux.s := aux.R_s*(g.tau*g.gtau - g.g);
aux.rho := p/(aux.R_s*T*g.pi*g.gpi);
aux.vt := aux.R_s/p*(g.pi*g.gpi - g.tau*g.pi*g.gtaupi);
aux.vp := aux.R_s*T/(p*p)*g.pi*g.pi*g.gpipi;
aux.pt := -g.p/g.T*(g.gpi - g.tau*g.gtaupi)/(g.gpipi*g.pi);
aux.pd := -g.R_s*g.T*g.gpi*g.gpi/(g.gpipi);
aux.cp := -aux.R_s*g.tau*g.tau*g.gtautau;
aux.cv := aux.R_s*(-g.tau*g.tau*g.gtautau + ((g.gpi - g.tau*g.gtaupi)*(g.gpi
- g.tau*g.gtaupi)/g.gpipi));
aux.x := 1.0;
aux.dpT := -aux.vt/aux.vp;
else
assert(false, "Error in region computation of IF97 steam tables" +
"(p = " + String(p) + ", T = " + String(T) + ")");
end if;
end waterBaseProp_pT;
function rho_props_pT "Density as function or pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output SI.Density rho "Density";
algorithm
rho := aux.rho;
end rho_props_pT;
function rho_pT "Density as function or pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.Density rho "Density";
algorithm
rho := rho_props_pT(
p,
T,
waterBaseProp_pT(
p,
T,
region));
end rho_pT;
function h_props_pT
"Specific enthalpy as function or pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output SI.SpecificEnthalpy h "Specific enthalpy";
algorithm
h := aux.h;
end h_props_pT;
function h_pT "Specific enthalpy as function or pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.SpecificEnthalpy h "Specific enthalpy";
algorithm
h := h_props_pT(
p,
T,
waterBaseProp_pT(
p,
T,
region));
end h_pT;
function h_pT_der "Derivative function of h_pT"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
input Real p_der "Derivative of pressure";
input Real T_der "Derivative of temperature";
output Real h_der "Derivative of specific enthalpy";
algorithm
if (aux.region == 3) then
h_der := ((-aux.rho*aux.pd + T*aux.pt)/(aux.rho*aux.rho*aux.pd))*p_der +
((aux.rho*aux.rho*aux.pd*aux.cv + aux.T*aux.pt*aux.pt)/(aux.rho*aux.rho
*aux.pd))*T_der;
else
//regions 1,2 or 5
h_der := (1/aux.rho - aux.T*aux.vt)*p_der + aux.cp*T_der;
end if;
end h_pT_der;
function rho_pT_der "Derivative function of rho_pT"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
input Real p_der "Derivative of pressure";
input Real T_der "Derivative of temperature";
output Real rho_der "Derivative of density";
algorithm
if (aux.region == 3) then
rho_der := (1/aux.pd)*p_der - (aux.pt/aux.pd)*T_der;
else
//regions 1,2 or 5
rho_der := (-aux.rho*aux.rho*aux.vp)*p_der + (-aux.rho*aux.rho*aux.vt)*
T_der;
end if;
end rho_pT_der;
function s_props_pT
"Specific entropy as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output SI.SpecificEntropy s "Specific entropy";
algorithm
s := aux.s;
end s_props_pT;
function s_pT "Temperature as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.SpecificEntropy s "Specific entropy";
algorithm
s := s_props_pT(
p,
T,
waterBaseProp_pT(
p,
T,
region));
end s_pT;
function cv_props_pT
"Specific heat capacity at constant volume as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output SI.SpecificHeatCapacity cv "Specific heat capacity";
algorithm
cv := aux.cv;
end cv_props_pT;
function cv_pT
"Specific heat capacity at constant volume as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.SpecificHeatCapacity cv "Specific heat capacity";
algorithm
cv := cv_props_pT(
p,
T,
waterBaseProp_pT(
p,
T,
region));
end cv_pT;
function cp_props_pT
"Specific heat capacity at constant pressure as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output SI.SpecificHeatCapacity cp "Specific heat capacity";
algorithm
cp := if aux.region == 3 then (aux.rho*aux.rho*aux.pd*aux.cv + aux.T*aux.pt
*aux.pt)/(aux.rho*aux.rho*aux.pd) else aux.cp;
end cp_props_pT;
function cp_pT
"Specific heat capacity at constant pressure as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.SpecificHeatCapacity cp "Specific heat capacity";
algorithm
cp := cp_props_pT(
p,
T,
waterBaseProp_pT(
p,
T,
region));
end cp_pT;
function beta_props_pT
"Isobaric expansion coefficient as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output SI.RelativePressureCoefficient beta "Isobaric expansion coefficient";
algorithm
beta := if aux.region == 3 then aux.pt/(aux.rho*aux.pd) else aux.vt*aux.rho;
end beta_props_pT;
function beta_pT
"Isobaric expansion coefficient as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.RelativePressureCoefficient beta "Isobaric expansion coefficient";
algorithm
beta := beta_props_pT(
p,
T,
waterBaseProp_pT(
p,
T,
region));
end beta_pT;
function kappa_props_pT
"Isothermal compressibility factor as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output SI.IsothermalCompressibility kappa
"Isothermal compressibility factor";
algorithm
kappa := if aux.region == 3 then 1/(aux.rho*aux.pd) else -aux.vp*aux.rho;
end kappa_props_pT;
function kappa_pT
"Isothermal compressibility factor as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.IsothermalCompressibility kappa
"Isothermal compressibility factor";
algorithm
kappa := kappa_props_pT(
p,
T,
waterBaseProp_pT(
p,
T,
region));
end kappa_pT;
function velocityOfSound_props_pT
"Speed of sound as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output SI.Velocity v_sound "Speed of sound";
algorithm
// dp/drho at constant s
v_sound := if aux.region == 3 then sqrt(max(0, (aux.pd*aux.rho*aux.rho*aux.cv
+ aux.pt*aux.pt*aux.T)/(aux.rho*aux.rho*aux.cv))) else sqrt(max(0, -aux.cp
/(aux.rho*aux.rho*(aux.vp*aux.cp + aux.vt*aux.vt*aux.T))));
end velocityOfSound_props_pT;
function velocityOfSound_pT
"Speed of sound as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.Velocity v_sound "Speed of sound";
algorithm
v_sound := velocityOfSound_props_pT(
p,
T,
waterBaseProp_pT(
p,
T,
region));
end velocityOfSound_pT;
function isentropicExponent_props_pT
"Isentropic exponent as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output Real gamma "Isentropic exponent";
algorithm
gamma := if aux.region == 3 then 1/(aux.rho*p)*((aux.pd*aux.cv*aux.rho*aux.rho
+ aux.pt*aux.pt*aux.T)/(aux.cv)) else -1/(aux.rho*aux.p)*aux.cp/(aux.vp*
aux.cp + aux.vt*aux.vt*aux.T);
end isentropicExponent_props_pT;
function isentropicExponent_pT
"Isentropic exponent as function of pressure and temperature"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output Real gamma "Isentropic exponent";
algorithm
gamma := isentropicExponent_props_pT(
p,
T,
waterBaseProp_pT(
p,
T,
region));
end isentropicExponent_pT;
function waterBaseProp_dT
"Intermediate property record for water (d and T preferred states)"
extends Modelica.Icons.Function;
input SI.Density rho "Density";
input SI.Temperature T "Temperature";
input Integer phase=0
"Phase: 2 for two-phase, 1 for one phase, 0 if unknown";
input Integer region=0
"If 0, do region computation, otherwise assume the region is this input";
output Common.IF97BaseTwoPhase aux "Auxiliary record";
protected
SI.SpecificEnthalpy h_liq "Liquid specific enthalpy";
SI.Density d_liq "Liquid density";
SI.SpecificEnthalpy h_vap "Vapour specific enthalpy";
SI.Density d_vap "Vapour density";
Common.GibbsDerivs g
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Modelica.Media.Common.PhaseBoundaryProperties liq
"Phase boundary property record";
Modelica.Media.Common.PhaseBoundaryProperties vap
"Phase boundary property record";
Modelica.Media.Common.GibbsDerivs gl
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
Modelica.Media.Common.GibbsDerivs gv
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
Modelica.Media.Common.HelmholtzDerivs fl
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Modelica.Media.Common.HelmholtzDerivs fv
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Integer error "Error flag for inverse iterations";
algorithm
aux.region := if region == 0 then (if phase == 2 then 4 else
BaseIF97.Regions.region_dT(
d=rho,
T=T,
phase=phase)) else region;
aux.phase := if aux.region == 4 then 2 else 1;
aux.R_s := BaseIF97.data.RH2O;
aux.rho := rho;
aux.T := T;
aux.vt := 0.0 "Initialized in case it is not needed";
aux.vp := 0.0 "Initialized in case it is not needed";
if (aux.region == 1) then
(aux.p,error) := BaseIF97.Inverses.pofdt125(
d=rho,
T=T,
reldd=1.0e-8,
region=1);
g := BaseIF97.Basic.g1(aux.p, T);
aux.h := aux.R_s*aux.T*g.tau*g.gtau;
aux.s := aux.R_s*(g.tau*g.gtau - g.g);
aux.rho := aux.p/(aux.R_s*T*g.pi*g.gpi);
aux.vt := aux.R_s/aux.p*(g.pi*g.gpi - g.tau*g.pi*g.gtaupi);
aux.vp := aux.R_s*T/(aux.p*aux.p)*g.pi*g.pi*g.gpipi;
aux.pt := -g.p/g.T*(g.gpi - g.tau*g.gtaupi)/(g.gpipi*g.pi);
aux.pd := -g.R_s*g.T*g.gpi*g.gpi/(g.gpipi);
aux.cp := -aux.R_s*g.tau*g.tau*g.gtautau;
aux.cv := aux.R_s*(-g.tau*g.tau*g.gtautau + ((g.gpi - g.tau*g.gtaupi)*(g.gpi
- g.tau*g.gtaupi)/g.gpipi));
aux.x := 0.0;
elseif (aux.region == 2) then
(aux.p,error) := BaseIF97.Inverses.pofdt125(
d=rho,
T=T,
reldd=1.0e-8,
region=2);
g := BaseIF97.Basic.g2(aux.p, T);
aux.h := aux.R_s*aux.T*g.tau*g.gtau;
aux.s := aux.R_s*(g.tau*g.gtau - g.g);
aux.rho := aux.p/(aux.R_s*T*g.pi*g.gpi);
aux.vt := aux.R_s/aux.p*(g.pi*g.gpi - g.tau*g.pi*g.gtaupi);
aux.vp := aux.R_s*T/(aux.p*aux.p)*g.pi*g.pi*g.gpipi;
aux.pt := -g.p/g.T*(g.gpi - g.tau*g.gtaupi)/(g.gpipi*g.pi);
aux.pd := -g.R_s*g.T*g.gpi*g.gpi/(g.gpipi);
aux.cp := -aux.R_s*g.tau*g.tau*g.gtautau;
aux.cv := aux.R_s*(-g.tau*g.tau*g.gtautau + ((g.gpi - g.tau*g.gtaupi)*(g.gpi
- g.tau*g.gtaupi)/g.gpipi));
aux.x := 1.0;
elseif (aux.region == 3) then
f := BaseIF97.Basic.f3(rho, T);
aux.p := aux.R_s*rho*T*f.delta*f.fdelta;
aux.h := aux.R_s*T*(f.tau*f.ftau + f.delta*f.fdelta);
aux.s := aux.R_s*(f.tau*f.ftau - f.f);
aux.pd := aux.R_s*T*f.delta*(2.0*f.fdelta + f.delta*f.fdeltadelta);
aux.pt := aux.R_s*rho*f.delta*(f.fdelta - f.tau*f.fdeltatau);
aux.cv := aux.R_s*(-f.tau*f.tau*f.ftautau);
aux.cp := (aux.rho*aux.rho*aux.pd*aux.cv + aux.T*aux.pt*aux.pt)/(aux.rho*
aux.rho*aux.pd);
aux.x := 0.0;
elseif (aux.region == 4) then
aux.p := BaseIF97.Basic.psat(T);
d_liq := rhol_T(T);
d_vap := rhov_T(T);
h_liq := hl_p(aux.p);
h_vap := hv_p(aux.p);
aux.x := if (d_vap <> d_liq) then (1/rho - 1/d_liq)/(1/d_vap - 1/d_liq)
else 1.0;
aux.h := h_liq + aux.x*(h_vap - h_liq);
if T < BaseIF97.data.TLIMIT1 then
gl := BaseIF97.Basic.g1(aux.p, T);
gv := BaseIF97.Basic.g2(aux.p, T);
liq := Common.gibbsToBoundaryProps(gl);
vap := Common.gibbsToBoundaryProps(gv);
else
fl := BaseIF97.Basic.f3(d_liq, T);
fv := BaseIF97.Basic.f3(d_vap, T);
liq := Common.helmholtzToBoundaryProps(fl);
vap := Common.helmholtzToBoundaryProps(fv);
end if;
aux.dpT := if (liq.d <> vap.d) then (vap.s - liq.s)*liq.d*vap.d/(liq.d -
vap.d) else BaseIF97.Basic.dptofT(aux.T);
aux.s := liq.s + aux.x*(vap.s - liq.s);
aux.cv := Common.cv2Phase(
liq,
vap,
aux.x,
aux.T,
aux.p);
aux.cp := liq.cp + aux.x*(vap.cp - liq.cp);
aux.pt := liq.pt + aux.x*(vap.pt - liq.pt);
aux.pd := liq.pd + aux.x*(vap.pd - liq.pd);
elseif (aux.region == 5) then
(aux.p,error) := BaseIF97.Inverses.pofdt125(
d=rho,
T=T,
reldd=1.0e-8,
region=5);
g := BaseIF97.Basic.g2(aux.p, T);
aux.h := aux.R_s*aux.T*g.tau*g.gtau;
aux.s := aux.R_s*(g.tau*g.gtau - g.g);
aux.rho := aux.p/(aux.R_s*T*g.pi*g.gpi);
aux.vt := aux.R_s/aux.p*(g.pi*g.gpi - g.tau*g.pi*g.gtaupi);
aux.vp := aux.R_s*T/(aux.p*aux.p)*g.pi*g.pi*g.gpipi;
aux.pt := -g.p/g.T*(g.gpi - g.tau*g.gtaupi)/(g.gpipi*g.pi);
aux.pd := -g.R_s*g.T*g.gpi*g.gpi/(g.gpipi);
aux.cp := -aux.R_s*g.tau*g.tau*g.gtautau;
aux.cv := aux.R_s*(-g.tau*g.tau*g.gtautau + ((g.gpi - g.tau*g.gtaupi)*(g.gpi
- g.tau*g.gtaupi)/g.gpipi));
else
assert(false, "Error in region computation of IF97 steam tables" +
"(rho = " + String(rho) + ", T = " + String(T) + ")");
end if;
end waterBaseProp_dT;
function h_props_dT
"Specific enthalpy as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output SI.SpecificEnthalpy h "Specific enthalpy";
algorithm
h := aux.h;
end h_props_dT;
function h_dT "Specific enthalpy as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.SpecificEnthalpy h "Specific enthalpy";
algorithm
h := h_props_dT(
d,
T,
waterBaseProp_dT(
d,
T,
phase,
region));
end h_dT;
function h_dT_der "Derivative function of h_dT"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
input Real d_der "Derivative of density";
input Real T_der "Derivative of temperature";
output Real h_der "Derivative of specific enthalpy";
algorithm
if (aux.region == 3) then
h_der := ((-d*aux.pd + T*aux.pt)/(d*d))*d_der + ((aux.cv*d + aux.pt)/d)*
T_der;
elseif (aux.region == 4) then
h_der := T*aux.dpT/(d*d)*d_der + ((aux.cv*d + aux.dpT)/d)*T_der;
else
//regions 1,2 or 5
h_der := (-(-1/d + T*aux.vt)/(d*d*aux.vp))*d_der + ((aux.vp*aux.cp - aux.vt
/d + T*aux.vt*aux.vt)/aux.vp)*T_der;
end if;
end h_dT_der;
function p_props_dT "Pressure as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output SI.Pressure p "Pressure";
algorithm
p := aux.p;
end p_props_dT;
function p_dT "Pressure as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.Pressure p "Pressure";
algorithm
p := p_props_dT(
d,
T,
waterBaseProp_dT(
d,
T,
phase,
region));
end p_dT;
function p_dT_der "Derivative function of p_dT"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
input Real d_der "Derivative of density";
input Real T_der "Derivative of temperature";
output Real p_der "Derivative of pressure";
algorithm
if (aux.region == 3) then
p_der := aux.pd*d_der + aux.pt*T_der;
elseif (aux.region == 4) then
p_der := aux.dpT*T_der;
/*density derivative is 0.0*/
else
//regions 1,2 or 5
p_der := (-1/(d*d*aux.vp))*d_der + (-aux.vt/aux.vp)*T_der;
end if;
end p_dT_der;
function s_props_dT "Specific entropy as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output SI.SpecificEntropy s "Specific entropy";
algorithm
s := aux.s;
end s_props_dT;
function s_dT "Temperature as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.SpecificEntropy s "Specific entropy";
algorithm
s := s_props_dT(
d,
T,
waterBaseProp_dT(
d,
T,
phase,
region));
end s_dT;
function cv_props_dT
"Specific heat capacity at constant volume as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output SI.SpecificHeatCapacity cv "Specific heat capacity";
algorithm
cv := aux.cv;
end cv_props_dT;
function cv_dT
"Specific heat capacity at constant volume as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.SpecificHeatCapacity cv "Specific heat capacity";
algorithm
cv := cv_props_dT(
d,
T,
waterBaseProp_dT(
d,
T,
phase,
region));
end cv_dT;
function cp_props_dT
"Specific heat capacity at constant pressure as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output SI.SpecificHeatCapacity cp "Specific heat capacity";
algorithm
cp := aux.cp;
end cp_props_dT;
function cp_dT
"Specific heat capacity at constant pressure as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.SpecificHeatCapacity cp "Specific heat capacity";
algorithm
cp := cp_props_dT(
d,
T,
waterBaseProp_dT(
d,
T,
phase,
region));
end cp_dT;
function beta_props_dT
"Isobaric expansion coefficient as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output SI.RelativePressureCoefficient beta "Isobaric expansion coefficient";
algorithm
beta := if aux.region == 3 or aux.region == 4 then aux.pt/(aux.rho*aux.pd)
else aux.vt*aux.rho;
end beta_props_dT;
function beta_dT
"Isobaric expansion coefficient as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.RelativePressureCoefficient beta "Isobaric expansion coefficient";
algorithm
beta := beta_props_dT(
d,
T,
waterBaseProp_dT(
d,
T,
phase,
region));
end beta_dT;
function kappa_props_dT
"Isothermal compressibility factor as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output SI.IsothermalCompressibility kappa
"Isothermal compressibility factor";
algorithm
kappa := if aux.region == 3 or aux.region == 4 then 1/(aux.rho*aux.pd)
else -aux.vp*aux.rho;
end kappa_props_dT;
function kappa_dT
"Isothermal compressibility factor as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.IsothermalCompressibility kappa
"Isothermal compressibility factor";
algorithm
kappa := kappa_props_dT(
d,
T,
waterBaseProp_dT(
d,
T,
phase,
region));
end kappa_dT;
function velocityOfSound_props_dT
"Speed of sound as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output SI.Velocity v_sound "Speed of sound";
algorithm
// dp/drho at constant s
v_sound := if aux.region == 3 then sqrt(max(0, ((aux.pd*aux.rho*aux.rho*aux.cv
+ aux.pt*aux.pt*aux.T)/(aux.rho*aux.rho*aux.cv)))) else if aux.region
== 4 then sqrt(max(0, 1/((aux.rho*(aux.rho*aux.cv/aux.dpT + 1.0)/(aux.dpT
*aux.T)) - 1/aux.rho*aux.rho*aux.rho/(aux.dpT*aux.T)))) else sqrt(max(0,
-aux.cp/(aux.rho*aux.rho*(aux.vp*aux.cp + aux.vt*aux.vt*aux.T))));
end velocityOfSound_props_dT;
function velocityOfSound_dT
"Speed of sound as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.Velocity v_sound "Speed of sound";
algorithm
v_sound := velocityOfSound_props_dT(
d,
T,
waterBaseProp_dT(
d,
T,
phase,
region));
end velocityOfSound_dT;
function isentropicExponent_props_dT
"Isentropic exponent as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output Real gamma "Isentropic exponent";
algorithm
gamma := if aux.region == 3 then 1/(aux.rho*aux.p)*((aux.pd*aux.cv*aux.rho*
aux.rho + aux.pt*aux.pt*aux.T)/(aux.cv)) else if aux.region == 4 then 1/(
aux.rho*aux.p)*aux.dpT*aux.dpT*aux.T/aux.cv else -1/(aux.rho*aux.p)*aux.cp
/(aux.vp*aux.cp + aux.vt*aux.vt*aux.T);
end isentropicExponent_props_dT;
function isentropicExponent_dT
"Isentropic exponent as function of density and temperature"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output Real gamma "Isentropic exponent";
algorithm
gamma := isentropicExponent_props_dT(
d,
T,
waterBaseProp_dT(
d,
T,
phase,
region));
end isentropicExponent_dT;
protected
package ThermoFluidSpecial
extends Modelica.Icons.FunctionsPackage;
function water_ph
"Calculate the property record for dynamic simulation properties using p,h as states"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEnthalpy h "Specific enthalpy";
input Integer phase=0
"Phase: 2 for two-phase, 1 for one phase, 0 if unknown";
output Modelica.Media.Common.ThermoFluidSpecial.ThermoProperties_ph pro
"Property record for dynamic simulation";
protected
Modelica.Media.Common.GibbsDerivs g
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Integer region(min=1, max=5) "IF97 region";
Integer error "Error flag";
SI.Temperature T "Temperature";
SI.Density d "Density";
algorithm
region := BaseIF97.Regions.region_ph(
p,
h,
phase);
if (region == 1) then
T := BaseIF97.Basic.tph1(p, h);
g := BaseIF97.Basic.g1(p, T);
pro := Modelica.Media.Common.ThermoFluidSpecial.gibbsToProps_ph(g);
elseif (region == 2) then
T := BaseIF97.Basic.tph2(p, h);
g := BaseIF97.Basic.g2(p, T);
pro := Modelica.Media.Common.ThermoFluidSpecial.gibbsToProps_ph(g);
elseif (region == 3) then
(d,T,error) := BaseIF97.Inverses.dtofph3(
p=p,
h=h,
delp=1.0e-7,
delh=1.0e-6);
f := BaseIF97.Basic.f3(d, T);
pro := Modelica.Media.Common.ThermoFluidSpecial.helmholtzToProps_ph(f);
elseif (region == 4) then
pro := BaseIF97.TwoPhase.waterR4_ph(p=p, h=h);
elseif (region == 5) then
(T,error) := BaseIF97.Inverses.tofph5(
p=p,
h=h,
reldh=1.0e-7);
g := BaseIF97.Basic.g5(p, T);
pro := Modelica.Media.Common.ThermoFluidSpecial.gibbsToProps_ph(g);
end if;
end water_ph;
function water_dT
"Calculate property record for dynamic simulation properties using d and T as dynamic states"
extends Modelica.Icons.Function;
input SI.Density d "Density";
input SI.Temperature T "Temperature";
input Integer phase=0
"Phase: 2 for two-phase, 1 for one phase, 0 if unknown";
output Modelica.Media.Common.ThermoFluidSpecial.ThermoProperties_dT pro
"Property record for dynamic simulation";
protected
SI.Pressure p "Pressure";
Integer region(min=1, max=5) "IF97 region";
Modelica.Media.Common.GibbsDerivs g
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Integer error "Error flag";
algorithm
region := BaseIF97.Regions.region_dT(
d,
T,
phase);
if (region == 1) then
(p,error) := BaseIF97.Inverses.pofdt125(
d=d,
T=T,
reldd=iter.DELD,
region=1);
g := BaseIF97.Basic.g1(p, T);
pro := Modelica.Media.Common.ThermoFluidSpecial.gibbsToProps_dT(g);
elseif (region == 2) then
(p,error) := BaseIF97.Inverses.pofdt125(
d=d,
T=T,
reldd=iter.DELD,
region=2);
g := BaseIF97.Basic.g2(p, T);
pro := Modelica.Media.Common.ThermoFluidSpecial.gibbsToProps_dT(g);
elseif (region == 3) then
f := BaseIF97.Basic.f3(d, T);
pro := Modelica.Media.Common.ThermoFluidSpecial.helmholtzToProps_dT(f);
elseif (region == 4) then
pro := BaseIF97.TwoPhase.waterR4_dT(d=d, T=T);
elseif (region == 5) then
(p,error) := BaseIF97.Inverses.pofdt125(
d=d,
T=T,
reldd=iter.DELD,
region=5);
g := BaseIF97.Basic.g5(p, T);
pro := Modelica.Media.Common.ThermoFluidSpecial.gibbsToProps_dT(g);
end if;
end water_dT;
function water_pT
"Calculate property record for dynamic simulation properties using p and T as dynamic states"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.Temperature T "Temperature";
output Modelica.Media.Common.ThermoFluidSpecial.ThermoProperties_pT pro
"Property record for dynamic simulation";
protected
SI.Density d "Density";
Integer region(min=1, max=5) "IF97 region";
Modelica.Media.Common.GibbsDerivs g
"Dimensionless Gibbs function and derivatives w.r.t. pi and tau";
Modelica.Media.Common.HelmholtzDerivs f
"Dimensionless Helmholtz function and derivatives w.r.t. delta and tau";
Integer error "Error flag";
algorithm
region := BaseIF97.Regions.region_pT(p, T);
if (region == 1) then
g := BaseIF97.Basic.g1(p, T);
pro := Modelica.Media.Common.ThermoFluidSpecial.gibbsToProps_pT(g);
elseif (region == 2) then
g := BaseIF97.Basic.g2(p, T);
pro := Modelica.Media.Common.ThermoFluidSpecial.gibbsToProps_pT(g);
elseif (region == 3) then
(d,error) := BaseIF97.Inverses.dofpt3(
p=p,
T=T,
delp=iter.DELP);
f := BaseIF97.Basic.f3(d, T);
pro := Modelica.Media.Common.ThermoFluidSpecial.helmholtzToProps_pT(f);
elseif (region == 5) then
g := BaseIF97.Basic.g5(p, T);
pro := Modelica.Media.Common.ThermoFluidSpecial.gibbsToProps_pT(g);
end if;
end water_pT;
end ThermoFluidSpecial;
public
function hl_p = BaseIF97.Regions.hl_p
"Compute the saturated liquid specific h(p)";
function hv_p = BaseIF97.Regions.hv_p
"Compute the saturated vapour specific h(p)";
function sl_p = BaseIF97.Regions.sl_p
"Compute the saturated liquid specific s(p)";
function sv_p = BaseIF97.Regions.sv_p
"Compute the saturated vapour specific s(p)";
function rhol_T = BaseIF97.Regions.rhol_T "Compute the saturated liquid d(T)";
function rhov_T = BaseIF97.Regions.rhov_T "Compute the saturated vapour d(T)";
function rhol_p = BaseIF97.Regions.rhol_p "Compute the saturated liquid d(p)";
function rhov_p = BaseIF97.Regions.rhov_p "Compute the saturated vapour d(p)";
function dynamicViscosity = BaseIF97.Transport.visc_dTp
"Compute eta(d,T) in the one-phase region";
function thermalConductivity = BaseIF97.Transport.cond_dTp
"Compute lambda(d,T,p) in the one-phase region";
function surfaceTension = BaseIF97.Transport.surfaceTension
"Compute sigma(T) at saturation T";
// function isentropicEnthalpy
// "Isentropic specific enthalpy from p,s (preferably use dynamicIsentropicEnthalpy in dynamic simulation!)"
// extends Modelica.Icons.Function;
// input SI.Pressure p "Pressure";
// input SI.SpecificEntropy s "Specific entropy";
// input Integer phase = 0 "2 for two-phase, 1 for one-phase, 0 if not known";
// output SI.SpecificEnthalpy h "Specific enthalpy";
// algorithm
// h := BaseIF97.Isentropic.water_hisentropic(p,s,phase);
// end isentropicEnthalpy;
function isentropicEnthalpy
"Isentropic specific enthalpy from p,s (preferably use dynamicIsentropicEnthalpy in dynamic simulation!)"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=0
"If 0, region is unknown, otherwise known and this input";
output SI.SpecificEnthalpy h "Specific enthalpy";
algorithm
h := isentropicEnthalpy_props(
p,
s,
waterBaseProp_ps(
p,
s,
phase,
region));
end isentropicEnthalpy;
function isentropicEnthalpy_props
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
output SI.SpecificEnthalpy h "Isentropic enthalpy";
algorithm
h := aux.h;
end isentropicEnthalpy_props;
function isentropicEnthalpy_der
"Derivative of isentropic specific enthalpy from p,s"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
input Common.IF97BaseTwoPhase aux "Auxiliary record";
input Real p_der "Pressure derivative";
input Real s_der "Entropy derivative";
output Real h_der "Specific enthalpy derivative";
algorithm
h_der := 1/aux.rho*p_der + aux.T*s_der;
end isentropicEnthalpy_der;
function dynamicIsentropicEnthalpy
"Isentropic specific enthalpy from p,s and good guesses of d and T"
extends Modelica.Icons.Function;
input SI.Pressure p "Pressure";
input SI.SpecificEntropy s "Specific entropy";
input SI.Density dguess "Good guess density, e.g., from adjacent volume";
input SI.Temperature Tguess
"Good guess temperature, e.g., from adjacent volume";
input Integer phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
output SI.SpecificEnthalpy h "Specific enthalpy";
algorithm
h := BaseIF97.Isentropic.water_hisentropic_dyn(
p,
s,
dguess,
Tguess,
0);
end dynamicIsentropicEnthalpy;
end IF97_Utilities; |
Medium models for water | within Modelica.Media;
package Water "Medium models for water"
extends Modelica.Icons.VariantsPackage;
import Modelica.Media.Water.ConstantPropertyLiquidWater.simpleWaterConstants;
constant Modelica.Media.Interfaces.Types.TwoPhase.FluidConstants[1]
waterConstants(
each chemicalFormula="H2O",
each structureFormula="H2O",
each casRegistryNumber="7732-18-5",
each iupacName="oxidane",
each molarMass=0.018015268,
each criticalTemperature=647.096,
each criticalPressure=22064.0e3,
each criticalMolarVolume=1/322.0*0.018015268,
each normalBoilingPoint=373.124,
each meltingPoint=273.15,
each triplePointTemperature=273.16,
each triplePointPressure=611.657,
each acentricFactor=0.344,
each dipoleMoment=1.8,
each hasCriticalData=true);
package IdealSteam "Water: Steam as ideal gas from NASA source"
extends IdealGases.SingleGases.H2O;
end IdealSteam;
package ConstantPropertyLiquidWater
"Water: Simple liquid water medium (incompressible, constant data)"
// redeclare record extends FluidConstants
// end FluidConstants;
constant Modelica.Media.Interfaces.Types.Basic.FluidConstants[1]
simpleWaterConstants(
each chemicalFormula="H2O",
each structureFormula="H2O",
each casRegistryNumber="7732-18-5",
each iupacName="oxidane",
each molarMass=0.018015268);
extends Interfaces.PartialSimpleMedium(
mediumName="SimpleLiquidWater",
cp_const=4184,
cv_const=4184,
d_const=995.586,
eta_const=1.e-3,
lambda_const=0.598,
a_const=1484,
T_min=Cv.from_degC(-1),
T_max=Cv.from_degC(130),
T0=273.15,
MM_const=0.018015268,
fluidConstants=simpleWaterConstants);
end ConstantPropertyLiquidWater;
package StandardWater = WaterIF97_ph
"Water using the IF97 standard, explicit in p and h. Recommended for most applications";
package StandardWaterOnePhase = WaterIF97_pT
"Water using the IF97 standard, explicit in p and T. Recommended for one-phase applications";
package WaterIF97OnePhase_ph
"Water using the IF97 standard, explicit in p and h, and only valid outside the two-phase dome"
extends WaterIF97_base(
ThermoStates=Modelica.Media.Interfaces.Choices.IndependentVariables.ph,
final ph_explicit=true,
final dT_explicit=false,
final pT_explicit=false,
final smoothModel=true,
final onePhase=true);
end WaterIF97OnePhase_ph;
package WaterIF97_pT "Water using the IF97 standard, explicit in p and T"
extends WaterIF97_base(
ThermoStates=Modelica.Media.Interfaces.Choices.IndependentVariables.pT,
final ph_explicit=false,
final dT_explicit=false,
final pT_explicit=true,
final smoothModel=true,
final onePhase=true);
end WaterIF97_pT;
package WaterIF97_ph "Water using the IF97 standard, explicit in p and h"
extends WaterIF97_base(
ThermoStates=Modelica.Media.Interfaces.Choices.IndependentVariables.ph,
final ph_explicit=true,
final dT_explicit=false,
final pT_explicit=false,
smoothModel=false,
onePhase=false);
end WaterIF97_ph;
partial package WaterIF97_base
"Water: Steam properties as defined by IAPWS/IF97 standard"
extends Interfaces.PartialTwoPhaseMedium(
mediumName="WaterIF97",
substanceNames={"water"},
singleState=false,
SpecificEnthalpy(start=1.0e5, nominal=5.0e5),
Density(start=150, nominal=500),
AbsolutePressure(
start=50e5,
nominal=10e5,
min=611.657,
max=100e6),
Temperature(
start=500,
nominal=500,
min=273.15,
max=2273.15),
smoothModel=false,
onePhase=false,
fluidConstants=waterConstants);
redeclare record extends SaturationProperties
end SaturationProperties;
redeclare record extends ThermodynamicState "Thermodynamic state"
SpecificEnthalpy h "Specific enthalpy";
Density d "Density";
Temperature T "Temperature";
AbsolutePressure p "Pressure";
end ThermodynamicState;
constant Integer Region = 0 "Region of IF97, if known, zero otherwise";
constant Boolean ph_explicit
"True if explicit in pressure and specific enthalpy";
constant Boolean dT_explicit "True if explicit in density and temperature";
constant Boolean pT_explicit "True if explicit in pressure and temperature";
redeclare replaceable model extends BaseProperties(
h(stateSelect=if ph_explicit and preferredMediumStates then StateSelect.prefer
else StateSelect.default),
d(stateSelect=if dT_explicit and preferredMediumStates then StateSelect.prefer
else StateSelect.default),
T(stateSelect=if (pT_explicit or dT_explicit) and preferredMediumStates
then StateSelect.prefer else StateSelect.default),
p(stateSelect=if (pT_explicit or ph_explicit) and preferredMediumStates
then StateSelect.prefer else StateSelect.default))
"Base properties of water"
Integer phase(
min=0,
max=2,
start=1,
fixed=false) "2 for two-phase, 1 for one-phase, 0 if not known";
equation
MM = fluidConstants[1].molarMass;
if Region > 0 then // Fixed region
phase = (if Region == 4 then 2 else 1);
elseif smoothModel then
if onePhase then
phase = 1;
if ph_explicit then
assert(((h < bubbleEnthalpy(sat) or h > dewEnthalpy(sat)) or p >
fluidConstants[1].criticalPressure),
"With onePhase=true this model may only be called with one-phase states h < hl or h > hv!"
+ "(p = " + String(p) + ", h = " + String(h) + ")");
else
if dT_explicit then
assert(not ((d < bubbleDensity(sat) and d > dewDensity(sat)) and T
< fluidConstants[1].criticalTemperature),
"With onePhase=true this model may only be called with one-phase states d > dl or d < dv!"
+ "(d = " + String(d) + ", T = " + String(T) + ")");
end if;
end if;
else
phase = 0;
end if;
else
if ph_explicit then
phase = if ((h < bubbleEnthalpy(sat) or h > dewEnthalpy(sat)) or p >
fluidConstants[1].criticalPressure) then 1 else 2;
elseif dT_explicit then
phase = if not ((d < bubbleDensity(sat) and d > dewDensity(sat)) and T
< fluidConstants[1].criticalTemperature) then 1 else 2;
else
phase = 1;
//this is for the one-phase only case pT
end if;
end if;
if dT_explicit then
p = pressure_dT(
d,
T,
phase,
Region);
h = specificEnthalpy_dT(
d,
T,
phase,
Region);
sat.Tsat = T;
sat.psat = saturationPressure(T);
elseif ph_explicit then
d = density_ph(
p,
h,
phase,
Region);
T = temperature_ph(
p,
h,
phase,
Region);
sat.Tsat = saturationTemperature(p);
sat.psat = p;
else
h = specificEnthalpy_pT(
p,
T,
Region);
d = density_pT(
p,
T,
Region);
sat.psat = p;
sat.Tsat = saturationTemperature(p);
end if;
u = h - p/d;
R_s = Modelica.Constants.R/fluidConstants[1].molarMass;
h = state.h;
p = state.p;
T = state.T;
d = state.d;
phase = state.phase;
end BaseProperties;
redeclare function density_ph
"Computes density as a function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input FixedPhase phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=Region
"If 0, region is unknown, otherwise known and this input";
output Density d "Density";
algorithm
d := IF97_Utilities.rho_ph(
p,
h,
phase,
region);
end density_ph;
redeclare function temperature_ph
"Computes temperature as a function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEnthalpy h "Specific enthalpy";
input FixedPhase phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=Region
"If 0, region is unknown, otherwise known and this input";
output Temperature T "Temperature";
algorithm
T := IF97_Utilities.T_ph(
p,
h,
phase,
region);
end temperature_ph;
redeclare function temperature_ps
"Compute temperature from pressure and specific enthalpy"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
input FixedPhase phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=Region
"If 0, region is unknown, otherwise known and this input";
output Temperature T "Temperature";
algorithm
T := IF97_Utilities.T_ps(
p,
s,
phase,
region);
end temperature_ps;
redeclare function density_ps
"Computes density as a function of pressure and specific enthalpy"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
input FixedPhase phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=Region
"If 0, region is unknown, otherwise known and this input";
output Density d "Density";
algorithm
d := IF97_Utilities.rho_ps(
p,
s,
phase,
region);
end density_ps;
redeclare function pressure_dT
"Computes pressure as a function of density and temperature"
extends Modelica.Icons.Function;
input Density d "Density";
input Temperature T "Temperature";
input FixedPhase phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=Region
"If 0, region is unknown, otherwise known and this input";
output AbsolutePressure p "Pressure";
algorithm
p := IF97_Utilities.p_dT(
d,
T,
phase,
region);
end pressure_dT;
redeclare function specificEnthalpy_dT
"Computes specific enthalpy as a function of density and temperature"
extends Modelica.Icons.Function;
input Density d "Density";
input Temperature T "Temperature";
input FixedPhase phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=Region
"If 0, region is unknown, otherwise known and this input";
output SpecificEnthalpy h "Specific enthalpy";
algorithm
h := IF97_Utilities.h_dT(
d,
T,
phase,
region);
end specificEnthalpy_dT;
redeclare function specificEnthalpy_pT
"Computes specific enthalpy as a function of pressure and temperature"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
input FixedPhase phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=Region
"If 0, region is unknown, otherwise known and this input";
output SpecificEnthalpy h "Specific enthalpy";
algorithm
h := IF97_Utilities.h_pT(
p,
T,
region);
end specificEnthalpy_pT;
redeclare function specificEnthalpy_ps
"Computes specific enthalpy as a function of pressure and temperature"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input SpecificEntropy s "Specific entropy";
input FixedPhase phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=Region
"If 0, region is unknown, otherwise known and this input";
output SpecificEnthalpy h "Specific enthalpy";
algorithm
h := IF97_Utilities.h_ps(
p,
s,
phase,
region);
end specificEnthalpy_ps;
redeclare function density_pT
"Computes density as a function of pressure and temperature"
extends Modelica.Icons.Function;
input AbsolutePressure p "Pressure";
input Temperature T "Temperature";
input FixedPhase phase=0 "2 for two-phase, 1 for one-phase, 0 if not known";
input Integer region=Region
"If 0, region is unknown, otherwise known and this input";
output Density d "Density";
algorithm
d := IF97_Utilities.rho_pT(
p,
T,
region);
end density_pT;
redeclare function extends setDewState
"Set the thermodynamic state on the dew line"
algorithm
state := ThermodynamicState(
phase=phase,
p=sat.psat,
T=sat.Tsat,
h=dewEnthalpy(sat),
d=dewDensity(sat));
end setDewState;
redeclare function extends setBubbleState
"Set the thermodynamic state on the bubble line"
algorithm
state := ThermodynamicState(
phase=phase,
p=sat.psat,
T=sat.Tsat,
h=bubbleEnthalpy(sat),
d=bubbleDensity(sat));
end setBubbleState;
redeclare function extends dynamicViscosity "Dynamic viscosity of water"
algorithm
eta := IF97_Utilities.dynamicViscosity(
state.d,
state.T,
state.p,
state.phase);
end dynamicViscosity;
redeclare function extends thermalConductivity
"Thermal conductivity of water"
algorithm
lambda := IF97_Utilities.thermalConductivity(
state.d,
state.T,
state.p,
state.phase);
end thermalConductivity;
redeclare function extends surfaceTension
"Surface tension in two phase region of water"
algorithm
sigma := IF97_Utilities.surfaceTension(sat.Tsat);
end surfaceTension;
redeclare function extends pressure "Return pressure of ideal gas"
algorithm
p := state.p;
end pressure;
redeclare function extends temperature "Return temperature of ideal gas"
algorithm
T := state.T;
end temperature;
redeclare function extends density "Return density of ideal gas"
algorithm
d := state.d;
end density;
redeclare function extends specificEnthalpy "Return specific enthalpy"
extends Modelica.Icons.Function;
algorithm
h := state.h;
end specificEnthalpy;
redeclare function extends specificInternalEnergy
"Return specific internal energy"
extends Modelica.Icons.Function;
algorithm
u := state.h - state.p/state.d;
end specificInternalEnergy;
redeclare function extends specificGibbsEnergy "Return specific Gibbs energy"
extends Modelica.Icons.Function;
algorithm
g := state.h - state.T*specificEntropy(state);
end specificGibbsEnergy;
redeclare function extends specificHelmholtzEnergy
"Return specific Helmholtz energy"
extends Modelica.Icons.Function;
algorithm
f := state.h - state.p/state.d - state.T*specificEntropy(state);
end specificHelmholtzEnergy;
redeclare function extends specificEntropy "Specific entropy of water"
algorithm
s := if dT_explicit then IF97_Utilities.s_dT(
state.d,
state.T,
state.phase,
Region) else if pT_explicit then IF97_Utilities.s_pT(
state.p,
state.T,
Region) else IF97_Utilities.s_ph(
state.p,
state.h,
state.phase,
Region);
end specificEntropy;
redeclare function extends specificHeatCapacityCp
"Specific heat capacity at constant pressure of water"
algorithm
cp := if dT_explicit then IF97_Utilities.cp_dT(
state.d,
state.T,
Region) else if pT_explicit then IF97_Utilities.cp_pT(
state.p,
state.T,
Region) else IF97_Utilities.cp_ph(
state.p,
state.h,
Region);
end specificHeatCapacityCp;
redeclare function extends specificHeatCapacityCv
"Specific heat capacity at constant volume of water"
algorithm
cv := if dT_explicit then IF97_Utilities.cv_dT(
state.d,
state.T,
state.phase,
Region) else if pT_explicit then IF97_Utilities.cv_pT(
state.p,
state.T,
Region) else IF97_Utilities.cv_ph(
state.p,
state.h,
state.phase,
Region);
end specificHeatCapacityCv;
redeclare function extends isentropicExponent "Return isentropic exponent"
algorithm
gamma := if dT_explicit then IF97_Utilities.isentropicExponent_dT(
state.d,
state.T,
state.phase,
Region) else if pT_explicit then IF97_Utilities.isentropicExponent_pT(
state.p,
state.T,
Region) else IF97_Utilities.isentropicExponent_ph(
state.p,
state.h,
state.phase,
Region);
end isentropicExponent;
redeclare function extends isothermalCompressibility
"Isothermal compressibility of water"
algorithm
// assert(state.phase <> 2, "Isothermal compressibility can not be computed with 2-phase inputs!");
kappa := if dT_explicit then IF97_Utilities.kappa_dT(
state.d,
state.T,
state.phase,
Region) else if pT_explicit then IF97_Utilities.kappa_pT(
state.p,
state.T,
Region) else IF97_Utilities.kappa_ph(
state.p,
state.h,
state.phase,
Region);
end isothermalCompressibility;
redeclare function extends isobaricExpansionCoefficient
"Isobaric expansion coefficient of water"
algorithm
// assert(state.phase <> 2, "The isobaric expansion coefficient can not be computed with 2-phase inputs!");
beta := if dT_explicit then IF97_Utilities.beta_dT(
state.d,
state.T,
state.phase,
Region) else if pT_explicit then IF97_Utilities.beta_pT(
state.p,
state.T,
Region) else IF97_Utilities.beta_ph(
state.p,
state.h,
state.phase,
Region);
end isobaricExpansionCoefficient;
redeclare function extends velocityOfSound
"Return velocity of sound as a function of the thermodynamic state record"
algorithm
a := if dT_explicit then IF97_Utilities.velocityOfSound_dT(
state.d,
state.T,
state.phase,
Region) else if pT_explicit then IF97_Utilities.velocityOfSound_pT(
state.p,
state.T,
Region) else IF97_Utilities.velocityOfSound_ph(
state.p,
state.h,
state.phase,
Region);
end velocityOfSound;
redeclare function extends isentropicEnthalpy "Compute h(s,p)"
algorithm
h_is := IF97_Utilities.isentropicEnthalpy(
p_downstream,
specificEntropy(refState),
0);
end isentropicEnthalpy;
redeclare function extends density_derh_p
"Density derivative by specific enthalpy"
algorithm
ddhp := IF97_Utilities.ddhp(
state.p,
state.h,
state.phase,
Region);
end density_derh_p;
redeclare function extends density_derp_h "Density derivative by pressure"
algorithm
ddph := IF97_Utilities.ddph(
state.p,
state.h,
state.phase,
Region);
end density_derp_h;
// redeclare function extends density_derT_p
// "Density derivative by temperature"
// algorithm
// ddTp := IF97_Utilities.ddTp(state.p, state.h, state.phase);
// end density_derT_p;
//
// redeclare function extends density_derp_T
// "Density derivative by pressure"
// algorithm
// ddpT := IF97_Utilities.ddpT(state.p, state.h, state.phase);
// end density_derp_T;
redeclare function extends bubbleEnthalpy
"Boiling curve specific enthalpy of water"
algorithm
hl := IF97_Utilities.BaseIF97.Regions.hl_p(sat.psat);
end bubbleEnthalpy;
redeclare function extends dewEnthalpy "Dew curve specific enthalpy of water"
algorithm
hv := IF97_Utilities.BaseIF97.Regions.hv_p(sat.psat);
end dewEnthalpy;
redeclare function extends bubbleEntropy
"Boiling curve specific entropy of water"
algorithm
sl := IF97_Utilities.BaseIF97.Regions.sl_p(sat.psat);
end bubbleEntropy;
redeclare function extends dewEntropy "Dew curve specific entropy of water"
algorithm
sv := IF97_Utilities.BaseIF97.Regions.sv_p(sat.psat);
end dewEntropy;
redeclare function extends bubbleDensity
"Boiling curve specific density of water"
algorithm
dl := if ph_explicit or pT_explicit then
IF97_Utilities.BaseIF97.Regions.rhol_p(sat.psat) else
IF97_Utilities.BaseIF97.Regions.rhol_T(sat.Tsat);
end bubbleDensity;
redeclare function extends dewDensity "Dew curve specific density of water"
algorithm
dv := if ph_explicit or pT_explicit then
IF97_Utilities.BaseIF97.Regions.rhov_p(sat.psat) else
IF97_Utilities.BaseIF97.Regions.rhov_T(sat.Tsat);
end dewDensity;
redeclare function extends saturationTemperature
"Saturation temperature of water"
algorithm
T := IF97_Utilities.BaseIF97.Basic.tsat(p);
end saturationTemperature;
redeclare function extends saturationTemperature_derp
"Derivative of saturation temperature w.r.t. pressure"
algorithm
dTp := IF97_Utilities.BaseIF97.Basic.dtsatofp(p);
end saturationTemperature_derp;
redeclare function extends saturationPressure "Saturation pressure of water"
algorithm
p := IF97_Utilities.BaseIF97.Basic.psat(T);
end saturationPressure;
redeclare function extends dBubbleDensity_dPressure
"Bubble point density derivative"
algorithm
ddldp := IF97_Utilities.BaseIF97.Regions.drhol_dp(sat.psat);
end dBubbleDensity_dPressure;
redeclare function extends dDewDensity_dPressure
"Dew point density derivative"
algorithm
ddvdp := IF97_Utilities.BaseIF97.Regions.drhov_dp(sat.psat);
end dDewDensity_dPressure;
redeclare function extends dBubbleEnthalpy_dPressure
"Bubble point specific enthalpy derivative"
algorithm
dhldp := IF97_Utilities.BaseIF97.Regions.dhl_dp(sat.psat);
end dBubbleEnthalpy_dPressure;
redeclare function extends dDewEnthalpy_dPressure
"Dew point specific enthalpy derivative"
algorithm
dhvdp := IF97_Utilities.BaseIF97.Regions.dhv_dp(sat.psat);
end dDewEnthalpy_dPressure;
redeclare function extends setState_dTX
"Return thermodynamic state of water as function of d, T, and optional region"
input Integer region=Region
"If 0, region is unknown, otherwise known and this input";
algorithm
state := ThermodynamicState(
d=d,
T=T,
phase=if region == 0 then 0 else if
region == 4 then 2 else 1,
h=specificEnthalpy_dT(
d,
T,
region=region),
p=pressure_dT(
d,
T,
region=region));
end setState_dTX;
redeclare function extends setState_phX
"Return thermodynamic state of water as function of p, h, and optional region"
input Integer region=Region
"If 0, region is unknown, otherwise known and this input";
algorithm
state := ThermodynamicState(
d=density_ph(
p,
h,
region=region),
T=temperature_ph(
p,
h,
region=region),
phase=if region == 0 then 0 else if region==4 then 2 else 1,
h=h,
p=p);
end setState_phX;
redeclare function extends setState_psX
"Return thermodynamic state of water as function of p, s, and optional region"
input Integer region=Region
"If 0, region is unknown, otherwise known and this input";
algorithm
state := ThermodynamicState(
d=density_ps(
p,
s,
region=region),
T=temperature_ps(
p,
s,
region=region),
phase=if region == 0 then 0 else if region==4 then 2 else 1,
h=specificEnthalpy_ps(
p,
s,
region=region),
p=p);
end setState_psX;
redeclare function extends setState_pTX
"Return thermodynamic state of water as function of p, T, and optional region"
input Integer region=Region
"If 0, region is unknown, otherwise known and this input";
algorithm
state := ThermodynamicState(
d=density_pT(
p,
T,
region=region),
T=T,
phase=1,
h=specificEnthalpy_pT(
p,
T,
region=region),
p=p);
end setState_pTX;
redeclare function extends setSmoothState
"Return thermodynamic state so that it smoothly approximates: if x > 0 then state_a else state_b"
import Modelica.Media.Common.smoothStep;
algorithm
state := ThermodynamicState(
p=smoothStep(
x,
state_a.p,
state_b.p,
x_small),
h=smoothStep(
x,
state_a.h,
state_b.h,
x_small),
d=density_ph(smoothStep(
x,
state_a.p,
state_b.p,
x_small), smoothStep(
x,
state_a.h,
state_b.h,
x_small)),
T=temperature_ph(smoothStep(
x,
state_a.p,
state_b.p,
x_small), smoothStep(
x,
state_a.h,
state_b.h,
x_small)),
phase=0);
end setSmoothState;
end WaterIF97_base;
partial package WaterIF97_fixedregion
"Water: Steam properties as defined by IAPWS/IF97 standard, fixed region"
extends WaterIF97_base(Region(min=1)=1);
end WaterIF97_fixedregion;
package WaterIF97_R4ph "Region 4 water according to IF97 standard"
extends WaterIF97_fixedregion(
final Region=4,
ThermoStates=Modelica.Media.Interfaces.Choices.IndependentVariables.ph,
final ph_explicit=true,
final dT_explicit=false,
final pT_explicit=false,
smoothModel=true,
onePhase=false);
end WaterIF97_R4ph;
package WaterIF97_R5ph "Region 5 water according to IF97 standard"
extends WaterIF97_fixedregion(
ThermoStates=Modelica.Media.Interfaces.Choices.IndependentVariables.ph,
final Region=5,
final ph_explicit=true,
final dT_explicit=false,
final pT_explicit=false,
smoothModel=true,
onePhase=true);
end WaterIF97_R5ph;
package WaterIF97_R1pT "Region 1 (liquid) water according to IF97 standard"
extends WaterIF97_fixedregion(
ThermoStates=Modelica.Media.Interfaces.Choices.IndependentVariables.pT,
final Region=1,
final ph_explicit=false,
final dT_explicit=false,
final pT_explicit=true,
smoothModel=true,
onePhase=true);
end WaterIF97_R1pT;
package WaterIF97_R2pT "Region 2 (steam) water according to IF97 standard"
extends WaterIF97_fixedregion(
ThermoStates=Modelica.Media.Interfaces.Choices.IndependentVariables.pT,
final Region=2,
final ph_explicit=false,
final dT_explicit=false,
final pT_explicit=true,
smoothModel=true,
onePhase=true);
end WaterIF97_R2pT;
package WaterIF97_R1ph "Region 1 (liquid) water according to IF97 standard"
extends WaterIF97_fixedregion(
ThermoStates=Modelica.Media.Interfaces.Choices.IndependentVariables.ph,
final Region=1,
final ph_explicit=true,
final dT_explicit=false,
final pT_explicit=false,
smoothModel=true,
onePhase=true);
end WaterIF97_R1ph;
package WaterIF97_R2ph "Region 2 (steam) water according to IF97 standard"
extends WaterIF97_fixedregion(
ThermoStates=Modelica.Media.Interfaces.Choices.IndependentVariables.ph,
final Region=2,
final ph_explicit=true,
final dT_explicit=false,
final pT_explicit=false,
smoothModel=true,
onePhase=true);
end WaterIF97_R2ph;
package WaterIF97_R3ph "Region 3 water according to IF97 standard"
extends WaterIF97_fixedregion(
final Region=3,
ThermoStates=Modelica.Media.Interfaces.Choices.IndependentVariables.ph,
final ph_explicit=true,
final dT_explicit=false,
final pT_explicit=false,
smoothModel=true,
onePhase=true);
end WaterIF97_R3ph;
end Water; |
Library of thermal system components to model heat transfer and simple thermo-fluid pipe flow | within Modelica;
package Thermal "Library of thermal system components to model heat transfer and simple thermo-fluid pipe flow"
extends Modelica.Icons.Package;
import Modelica.Units.SI;
end Thermal; |
Simple components for 1-dimensional incompressible thermo-fluid flow models | within Modelica.Thermal;
package FluidHeatFlow "Simple components for 1-dimensional incompressible thermo-fluid flow models"
extends Modelica.Icons.Package;
end FluidHeatFlow; |
Base classes of FluidHeatFlow models | within Modelica.Thermal.FluidHeatFlow;
package BaseClasses "Base classes of FluidHeatFlow models"
extends Modelica.Icons.BasesPackage;
end BaseClasses; |
Simple friction model. Definition of relationship between pressure drop and volume flow rate: | within Modelica.Thermal.FluidHeatFlow.BaseClasses;
partial model SimpleFriction "Simple friction model"
parameter SI.VolumeFlowRate V_flowLaminar(min=Modelica.Constants.small, start=0.1)
"Laminar volume flow"
parameter SI.Pressure dpLaminar(start=0.1)
"Laminar pressure drop"
parameter SI.VolumeFlowRate V_flowNominal(start=1)
"Nominal volume flow"
parameter SI.Pressure dpNominal(start=1)
"Nominal pressure drop"
parameter Real frictionLoss(min=0, max=1) = 0
"Part of friction losses fed to medium"
SI.Pressure pressureDrop;
SI.VolumeFlowRate volumeFlow;
SI.Power Q_friction;
protected
parameter SI.Pressure dpNomMin=dpLaminar/V_flowLaminar*V_flowNominal;
parameter Real k(final unit="Pa.s2/m6", fixed=false);
initial algorithm
assert(V_flowNominal>V_flowLaminar,
"SimpleFriction: V_flowNominal has to be > V_flowLaminar!");
assert(dpNominal>=dpNomMin,
"SimpleFriction: dpNominal has to be > dpLaminar/V_flowLaminar*V_flowNominal!");
k:=(dpNominal - dpNomMin)/(V_flowNominal - V_flowLaminar)^2;
equation
if volumeFlow > +V_flowLaminar then
pressureDrop = +dpLaminar/V_flowLaminar*volumeFlow + k*(volumeFlow - V_flowLaminar)^2;
elseif volumeFlow < -V_flowLaminar then
pressureDrop = +dpLaminar/V_flowLaminar*volumeFlow - k*(volumeFlow + V_flowLaminar)^2;
else
pressureDrop = dpLaminar/V_flowLaminar*volumeFlow;
end if;
Q_friction = frictionLoss*volumeFlow*pressureDrop;
end SimpleFriction; |
Partial model of a single port at the bottom. Partial model of single port at the bottom, defining the medium and the temperature at the port. | within Modelica.Thermal.FluidHeatFlow.BaseClasses;
partial model SinglePortBottom "Partial model of a single port at the bottom"
parameter FluidHeatFlow.Media.Medium medium=FluidHeatFlow.Media.Medium()
"Medium"
parameter SI.Temperature T0(start=293.15, displayUnit="degC")
"Initial temperature of medium";
parameter Boolean T0fixed=false
"Initial temperature guess value or fixed"
output SI.Temperature T_port "Temperature at flowPort_a";
output SI.Temperature T(start=T0, fixed=T0fixed) "Outlet temperature of medium";
FluidHeatFlow.Interfaces.FlowPort_a flowPort(final medium=medium)
protected
constant Boolean Exchange=true "Exchange of medium via flowport"
SI.SpecificEnthalpy h "Specific enthalpy in the volume";
equation
T_port=flowPort.h/medium.cp;
T=h/medium.cp;
// mass flow -> ambient: mixing rule
// mass flow <- ambient: energy flow defined by ambient's temperature
if Exchange then
flowPort.H_flow = semiLinear(flowPort.m_flow,flowPort.h,h);
else
h=flowPort.h;
end if;
end SinglePortBottom; |
Partial model of a single port at the left. Partial model of single port at the left, defining the medium and the temperature at the port. | within Modelica.Thermal.FluidHeatFlow.BaseClasses;
partial model SinglePortLeft "Partial model of a single port at the left"
parameter FluidHeatFlow.Media.Medium medium=FluidHeatFlow.Media.Medium()
"Medium"
parameter SI.Temperature T0(start=293.15, displayUnit="degC")
"Initial temperature of medium";
parameter Boolean T0fixed=false
"Initial temperature guess value or fixed"
output SI.Temperature T_port "Temperature at flowPort_a";
output SI.Temperature T(start=T0, fixed=T0fixed) "Outlet temperature of medium";
Interfaces.FlowPort_a flowPort(final medium=medium)
protected
constant Boolean Exchange=true "Exchange of medium via flowport"
SI.SpecificEnthalpy h "Specific enthalpy in the volume";
equation
T_port=flowPort.h/medium.cp;
T=h/medium.cp;
// mass flow -> ambient: mixing rule
// mass flow <- ambient: energy flow defined by ambient's temperature
if Exchange then
flowPort.H_flow = semiLinear(flowPort.m_flow,flowPort.h,h);
else
h=flowPort.h;
end if;
end SinglePortLeft; |
Partial model of two port. Partial model with two flowPorts. | within Modelica.Thermal.FluidHeatFlow.BaseClasses;
partial model TwoPort "Partial model of two port"
parameter FluidHeatFlow.Media.Medium medium=FluidHeatFlow.Media.Medium()
"Medium in the component"
parameter SI.Mass m(start=1) "Mass of medium";
parameter SI.Temperature T0(start=293.15, displayUnit="degC")
"Initial temperature of medium"
parameter Boolean T0fixed=false
"Initial temperature guess value or fixed"
parameter Real tapT(final min=0, final max=1)=1
"Defines temperature of heatPort between inlet and outlet temperature";
SI.Pressure dp "Pressure drop a->b";
SI.VolumeFlowRate V_flow(start=0) "Volume flow a->b";
SI.HeatFlowRate Q_flow "Heat exchange with ambient";
output SI.Temperature T(start=T0, fixed=T0fixed)
"Outlet temperature of medium";
output SI.Temperature T_a "Temperature at flowPort_a";
output SI.Temperature T_b "Temperature at flowPort_b";
output SI.TemperatureDifference dT
"Temperature increase of coolant in flow direction";
SI.Temperature T_q
"Temperature relevant for heat exchange with ambient";
protected
SI.SpecificEnthalpy h(start=medium.cp*T0) "Medium's specific enthalpy";
public
FluidHeatFlow.Interfaces.FlowPort_a flowPort_a(final medium=medium)
FluidHeatFlow.Interfaces.FlowPort_b flowPort_b(final medium=medium)
equation
dp=flowPort_a.p - flowPort_b.p;
V_flow=flowPort_a.m_flow/medium.rho;
T_a=flowPort_a.h/medium.cp;
T_b=flowPort_b.h/medium.cp;
dT=if noEvent(V_flow>=0) then T-T_a else T_b-T;
h = medium.cp*T;
T_q = T - noEvent(sign(V_flow))*(1 - tapT)*dT;
// mass balance
flowPort_a.m_flow + flowPort_b.m_flow = 0;
// energy balance
if m>Modelica.Constants.small then
flowPort_a.H_flow + flowPort_b.H_flow + Q_flow = m*medium.cv*der(T);
else
flowPort_a.H_flow + flowPort_b.H_flow + Q_flow = 0;
end if;
// mass flow a->b mixing rule at a, energy flow at b defined by medium's temperature
// mass flow b->a mixing rule at b, energy flow at a defined by medium's temperature
flowPort_a.H_flow = semiLinear(flowPort_a.m_flow,flowPort_a.h,h);
flowPort_b.H_flow = semiLinear(flowPort_b.m_flow,flowPort_b.h,h);
end TwoPort; |
Simple model of a piston in a cylinder. This is a simple model of a piston in a cylinder: | within Modelica.Thermal.FluidHeatFlow.Components;
model Cylinder "Simple model of a piston in a cylinder"
import Modelica.Constants.small;
extends FluidHeatFlow.BaseClasses.SinglePortLeft(final Exchange=true);
parameter SI.Area A "Cross section of cylinder/piston";
parameter SI.Length L "Length of cylinder";
extends
Modelica.Mechanics.Translational.Interfaces.PartialElementaryOneFlangeAndSupport2
(s(start=small));
SI.Force f=flange.f "Force at piston";
protected
SI.Mass m "Mass of medium";
SI.Enthalpy H "Enthalpy of medium";
equation
assert(s>=small, getInstanceName()+": Piston hit bottom of cylinder!");
assert(s<=L, getInstanceName()+":Piston hit top of cylinder!");
flowPort.p*A = -f;
m = medium.rho*A*s;
der(m) = flowPort.m_flow;
H = m*h;
der(H)=flowPort.H_flow;
end Cylinder; |
Simple one-way valve. Simple one-way valve, comparable to the electrical <a href=\"modelica://Modelica.Electrical.Analog.Ideal.IdealDiode\">ideal diode</a> model. | within Modelica.Thermal.FluidHeatFlow.Components;
model OneWayValve "Simple one-way valve"
extends FluidHeatFlow.BaseClasses.TwoPort(m(start=0), final tapT=1);
parameter SI.VolumeFlowRate V_flowNominal(start=1) "Nominal volume flow rate (forward)";
parameter SI.Pressure dpForward(displayUnit="bar")=1e-6 "Pressure drop at nominal flow (forward)";
parameter SI.Pressure dpNominal(displayUnit="bar", start=1e5) "Nominal pressure (backward)";
parameter SI.VolumeFlowRate V_flowBackward(start=1E-6) "Leakage volume flow rate (backward)";
parameter Real frictionLoss(min=0, max=1, start=0)
"Part of friction losses fed to medium";
Boolean backward(start=true) "State forward=false / backward=true";
protected
Real s(start=0, final unit="1")
"Auxiliary variable for actual position on the valve characteristic";
/* s < 0: backward, leakage flow
s > 0: forward, small pressure drop */
constant SI.VolumeFlowRate unitVolumeFlowRate = 1;
constant SI.Pressure unitPressureDrop = 1;
equation
backward = s<0;
dp = (s*unitVolumeFlowRate)*(if backward then 1 else dpForward/V_flowNominal);
V_flow = (s*unitPressureDrop) *(if backward then V_flowBackward/dpNominal else 1);
Q_flow = frictionLoss*V_flow*dp;
end OneWayValve; |
Model of a tank under ambient pressure. This is a simple model of an open tank with volume A*h. The level and the temperature of the medium are measured and provided as output. | within Modelica.Thermal.FluidHeatFlow.Components;
model OpenTank "Model of a tank under ambient pressure"
extends FluidHeatFlow.BaseClasses.SinglePortBottom(final Exchange=true);
parameter SI.Area ATank(start=1) "Cross section of tank";
parameter SI.Length hTank(start=1) "Height of tank";
parameter SI.Pressure pAmbient(start=0) "Ambient pressure";
parameter SI.Acceleration g(final min=0)=Modelica.Constants.g_n "Gravitation";
parameter Boolean useHeatPort = false "= true, if HeatPort is enabled"
SI.Mass m "Mass of medium in tank";
protected
SI.Enthalpy H "Enthalpy of medium";
SI.HeatFlowRate Q_flow "Heat flow at the optional heatPort";
public
Modelica.Thermal.HeatTransfer.Interfaces.HeatPort_a heatPort(final T=T, final Q_flow=Q_flow) if useHeatPort
"Optional port for cooling or heating the medium in the tank"
Modelica.Blocks.Interfaces.RealOutput level(quantity="Length", unit="m", start=0)
"Level of medium in tank"
Modelica.Blocks.Interfaces.RealOutput TTank(quantity="Temperature", unit="K", displayUnit="degC")
"Temperature of medium in tank"
equation
//output medium temperature
TTank = T;
//optional heating/cooling
if not useHeatPort then
Q_flow = 0;
end if;
//check level
assert(level>=0, "Tank got empty!");
assert(level<=hTank, "Tank got full!");
//mass balance
m = medium.rho*ATank*level;
der(m) = flowPort.m_flow;
//energy balance
H = m*h;
der(H) = flowPort.H_flow + Q_flow;
//pressure at bottom
flowPort.p = pAmbient + m*g/ATank;
end OpenTank; |
Basic components (pipes, valves) | within Modelica.Thermal.FluidHeatFlow;
package Components "Basic components (pipes, valves)"
extends Modelica.Icons.Package;
end Components; |
Pipe with optional heat exchange. Pipe with optional heat exchange. | within Modelica.Thermal.FluidHeatFlow.Components;
model Pipe "Pipe with optional heat exchange"
extends FluidHeatFlow.BaseClasses.TwoPort;
extends FluidHeatFlow.BaseClasses.SimpleFriction;
parameter Boolean useHeatPort = false "= true, if HeatPort is enabled"
parameter SI.Length h_g(start=0)
"Geodetic height (height difference from flowPort_a to flowPort_b)";
parameter SI.Acceleration g(final min=0)=Modelica.Constants.g_n "Gravitation";
Modelica.Thermal.HeatTransfer.Interfaces.HeatPort_a heatPort(T=T_q, Q_flow=Q_flowHeatPort) if useHeatPort
protected
SI.HeatFlowRate Q_flowHeatPort "Heat flow at conditional heatPort";
equation
if not useHeatPort then
Q_flowHeatPort=0;
end if;
// coupling with FrictionModel
volumeFlow = V_flow;
dp = pressureDrop + medium.rho*g*h_g;
// energy exchange with medium
Q_flow = Q_flowHeatPort + Q_friction;
end Pipe; |
Simple valve. Simple controlled valve. | within Modelica.Thermal.FluidHeatFlow.Components;
model Valve "Simple valve"
extends FluidHeatFlow.BaseClasses.TwoPort(m(start=0), final tapT=1);
parameter Boolean LinearCharacteristic(start=true)
"Type of characteristic"
parameter Real y1(min=small, start=1) "Max. valve opening"
parameter SI.VolumeFlowRate Kv1(min=small, start=1)
"Max. flow @ y = y1"
parameter Real kv0(min=small,max=1-small, start=0.01)
"Leakage flow / max.flow @ y = 0"
parameter SI.Pressure dp0(start=1) "Standard pressure drop"
parameter SI.Density rho0(start=10)
"Standard medium's density"
parameter Real frictionLoss(min=0, max=1, start=0)
"Part of friction losses fed to medium";
protected
constant SI.VolumeFlowRate unitVolumeFlowRate = 1;
constant Real small = Modelica.Constants.small;
constant SI.VolumeFlowRate smallVolumeFlowRate = eps*unitVolumeFlowRate;
constant Real eps = Modelica.Constants.eps;
Real yLim = max(min(y,y1),0) "Limited valve opening";
SI.VolumeFlowRate Kv "Standard flow rate";
public
Modelica.Blocks.Interfaces.RealInput y
initial algorithm
assert(y1>small, "Valve characteristic: y1 has to be > 0 !");
assert(Kv1>smallVolumeFlowRate, "Valve characteristic: Kv1 has to be > 0 !");
assert(kv0>small, "Valve characteristic: kv0 has to be > 0 !");
assert(kv0<1-eps, "Valve characteristic: kv0 has to be < 1 !");
equation
// evaluate standard characteristic
Kv/Kv1 = if LinearCharacteristic then (kv0 + (1-kv0)*yLim/y1) else kv0*exp(Modelica.Math.log(1/kv0)*yLim/y1);
// pressure drop under real conditions
dp/dp0 = medium.rho/rho0*(V_flow/Kv)*abs(V_flow/Kv);
// no energy exchange with medium
Q_flow = frictionLoss*V_flow*dp;
end Valve; |
Indirect cooling circuit. 3rd test example: IndirectCooling | within Modelica.Thermal.FluidHeatFlow.Examples;
model IndirectCooling "Indirect cooling circuit"
extends Modelica.Icons.Example;
parameter FluidHeatFlow.Media.Medium outerMedium=FluidHeatFlow.Media.Medium()
"Outer medium"
parameter FluidHeatFlow.Media.Medium innerMedium=FluidHeatFlow.Media.Medium()
"Inner medium"
parameter SI.Temperature TAmb(displayUnit="degC")=293.15
"Ambient temperature";
output SI.TemperatureDifference dTSource=
prescribedHeatFlow.port.T-TAmb "Temperature difference between heat source and ambient condition";
output SI.TemperatureDifference dTtoPipe=prescribedHeatFlow.port.T-pipe1.T_q
"Temperature difference between heat source and coolant in pipe 1";
output SI.TemperatureDifference dTinnerCoolant=pipe1.dT
"Inner Coolant's temperature increase";
output SI.TemperatureDifference dTCooler=innerPipe.T_q-outerPipe.T_q
"Coolant temperature difference between inner pipe and outer pipe";
output SI.TemperatureDifference dTouterCoolant=outerPipe.dT
"Outer coolant's temperature increase";
FluidHeatFlow.Sources.Ambient ambient1(
constantAmbientTemperature=TAmb,
medium=outerMedium,
constantAmbientPressure=0)
FluidHeatFlow.Sources.VolumeFlow outerPump(
medium=outerMedium,
m=0,
T0=TAmb,
useVolumeFlowInput=true,
constantVolumeFlow=1)
FluidHeatFlow.Sources.Ambient ambient2(
constantAmbientTemperature=TAmb,
medium=outerMedium,
constantAmbientPressure=0)
Modelica.Thermal.HeatTransfer.Components.ThermalConductor
thermalConductor(G=1)
Modelica.Thermal.HeatTransfer.Components.HeatCapacitor heatCapacitor(
C=0.05, T(start=TAmb, fixed=true))
Modelica.Thermal.HeatTransfer.Sources.PrescribedHeatFlow
prescribedHeatFlow
FluidHeatFlow.Components.Pipe pipe1(
medium=innerMedium,
m=0.1,
T0=TAmb,
V_flowLaminar=1,
V_flowNominal=2,
h_g=0,
T0fixed=true,
useHeatPort=true,
dpLaminar=1000,
dpNominal=2000)
FluidHeatFlow.Sources.AbsolutePressure absolutePressure(p=10000, medium=
innerMedium)
FluidHeatFlow.Sources.VolumeFlow innerPump(
medium=innerMedium,
m=0,
T0=TAmb,
useVolumeFlowInput=true,
constantVolumeFlow=1)
Modelica.Blocks.Sources.Constant heatFlow(k=10)
Modelica.Blocks.Sources.Constant outerVolumeFlow(k=1)
Modelica.Blocks.Sources.Constant innerVolumeFlow(k=1)
Modelica.Blocks.Sources.Constant outerGc(k=2)
Modelica.Blocks.Sources.Constant innerGc(k=2)
FluidHeatFlow.Components.Pipe outerPipe(
medium=outerMedium,
m=0.1,
T0=TAmb,
V_flowLaminar=0.1,
dpLaminar(displayUnit="Pa") = 0.1,
V_flowNominal=1,
dpNominal(displayUnit="Pa") = 1,
h_g=0,
T0fixed=true,
useHeatPort=true)
FluidHeatFlow.Components.Pipe innerPipe(
medium=innerMedium,
m=0.1,
T0=TAmb,
V_flowLaminar=0.1,
dpLaminar(displayUnit="Pa") = 0.1,
V_flowNominal=1,
dpNominal(displayUnit="Pa") = 1,
h_g=0,
T0fixed=true,
useHeatPort=true)
Modelica.Thermal.HeatTransfer.Components.Convection innerConvection
Modelica.Thermal.HeatTransfer.Components.Convection outerConvection
equation
connect(ambient1.flowPort, outerPump.flowPort_a)
connect(prescribedHeatFlow.port, thermalConductor.port_a)
connect(heatCapacitor.port, thermalConductor.port_a)
connect(pipe1.heatPort, thermalConductor.port_b)
connect(pipe1.flowPort_b, innerPump.flowPort_a)
connect(absolutePressure.flowPort, pipe1.flowPort_a)
connect(heatFlow.y, prescribedHeatFlow.Q_flow)
connect(innerPump.flowPort_b, innerPipe.flowPort_a)
connect(innerPipe.flowPort_b, absolutePressure.flowPort)
connect(outerPump.flowPort_b, outerPipe.flowPort_a)
connect(outerPipe.flowPort_b,ambient2. flowPort)
connect(outerPipe.heatPort, outerConvection.fluid)
connect(outerConvection.solid, innerConvection.solid)
connect(innerConvection.fluid, innerPipe.heatPort)
connect(innerGc.y, innerConvection.Gc)
connect(outerGc.y, outerConvection.Gc)
connect(outerVolumeFlow.y, outerPump.volumeFlow)
connect(innerVolumeFlow.y, innerPump.volumeFlow)
end IndirectCooling; |
Cooling of one hot mass. 7th test example: OneMass | within Modelica.Thermal.FluidHeatFlow.Examples;
model OneMass "Cooling of one hot mass"
extends Modelica.Icons.Example;
parameter FluidHeatFlow.Media.Medium medium=FluidHeatFlow.Media.Medium()
"Cooling medium"
parameter SI.Temperature TAmb(displayUnit="degC")=293.15
"Ambient temperature";
parameter SI.Temperature TMass(displayUnit="degC")=313.15
"Initial temperature of mass";
output SI.TemperatureDifference dTMass=
heatCapacitor.port.T-TAmb "Temperature difference between mass and ambient condition";
output SI.TemperatureDifference dTtoPipe=heatCapacitor.port.T-pipe.T_q
"Temperature difference between mass and coolant";
output SI.TemperatureDifference dTCoolant=pipe.dT
"Coolant's temperature increase";
FluidHeatFlow.Sources.Ambient ambient1(
constantAmbientTemperature=TAmb,
medium=medium,
constantAmbientPressure=0)
FluidHeatFlow.Sources.VolumeFlow pump(
medium=medium,
m=0,
T0=TAmb,
useVolumeFlowInput=true,
constantVolumeFlow=1)
FluidHeatFlow.Components.Pipe pipe(
medium=medium,
m=0.1,
T0=TAmb,
V_flowLaminar=0.1,
dpLaminar(displayUnit="Pa") = 0.1,
V_flowNominal=1,
dpNominal(displayUnit="Pa") = 1,
h_g=0,
T0fixed=true,
useHeatPort=true)
FluidHeatFlow.Sources.Ambient ambient2(
constantAmbientTemperature=TAmb,
medium=medium,
constantAmbientPressure=0)
Modelica.Thermal.HeatTransfer.Components.HeatCapacitor heatCapacitor(
C=0.1, T(start=TMass, fixed=true))
Modelica.Thermal.HeatTransfer.Components.ThermalConductor thermalConductor(G=1)
FluidHeatFlow.Examples.Utilities.DoubleRamp volumeFlow(
offset=0,
height_1=1,
height_2=-2)
equation
connect(ambient1.flowPort, pump.flowPort_a)
connect(pump.flowPort_b, pipe.flowPort_a)
connect(pipe.flowPort_b, ambient2.flowPort)
connect(thermalConductor.port_a, heatCapacitor.port)
connect(pipe.heatPort, thermalConductor.port_b)
connect(volumeFlow.y, pump.volumeFlow)
end OneMass; |
Examples that demonstrate the usage of the FluidHeatFlow components | within Modelica.Thermal.FluidHeatFlow;
package Examples "Examples that demonstrate the usage of the FluidHeatFlow components"
extends Modelica.Icons.ExamplesPackage;
end Examples; |
Cooling circuit with parallel branches. 2nd test example: ParallelCooling | within Modelica.Thermal.FluidHeatFlow.Examples;
model ParallelCooling "Cooling circuit with parallel branches"
extends Modelica.Icons.Example;
parameter FluidHeatFlow.Media.Medium medium=FluidHeatFlow.Media.Medium()
"Cooling medium"
parameter SI.Temperature TAmb(displayUnit="degC")=293.15
"Ambient temperature";
output SI.TemperatureDifference dTSource1=
prescribedHeatFlow1.port.T-TAmb "Temperature difference between heat source 1 and ambient condition";
output SI.TemperatureDifference dTtoPipe1=prescribedHeatFlow1.port.T-pipe1.T_q
"Temperature difference between heat source 1 and coolant in pipe 1";
output SI.TemperatureDifference dTCoolant1=pipe1.dT
"Coolant1's temperature increase in pipe 1";
output SI.TemperatureDifference dTSource2=
prescribedHeatFlow2.port.T-TAmb "Temperature difference between Heat source 2 and ambient condition";
output SI.TemperatureDifference dTtoPipe2=prescribedHeatFlow2.port.T-pipe2.T_q
"Temperature difference between heat source 2 and coolant in pipe 2";
output SI.TemperatureDifference dTCoolant2=pipe2.dT
"Coolant2's temperature increase in pipe 2";
output SI.TemperatureDifference dTmixedCoolant=ambient2.T_port-ambient1.T_port
"Mixed Coolant's temperature increase";
FluidHeatFlow.Sources.Ambient ambient1(
constantAmbientTemperature=TAmb,
medium=medium,
constantAmbientPressure=0)
FluidHeatFlow.Sources.VolumeFlow pump(
medium=medium,
m=0,
T0=TAmb,
useVolumeFlowInput=true,
constantVolumeFlow=1)
FluidHeatFlow.Components.Pipe pipe1(
medium=medium,
m=0.1,
T0=TAmb,
V_flowLaminar=0.1,
dpLaminar(displayUnit="Pa") = 0.1,
V_flowNominal=1,
dpNominal(displayUnit="Pa") = 1,
h_g=0,
T0fixed=true,
useHeatPort=true)
FluidHeatFlow.Components.Pipe pipe2(
medium=medium,
m=0.1,
T0=TAmb,
V_flowLaminar=0.1,
dpLaminar(displayUnit="Pa") = 0.1,
V_flowNominal=1,
dpNominal(displayUnit="Pa") = 1,
h_g=0,
T0fixed=true,
useHeatPort=true)
FluidHeatFlow.Components.Pipe pipe3(
medium=medium,
m=0.1,
T0=TAmb,
V_flowLaminar=0.1,
dpLaminar(displayUnit="Pa") = 0.1,
V_flowNominal=1,
dpNominal(displayUnit="Pa") = 1,
h_g=0,
T0fixed=true,
useHeatPort=false)
FluidHeatFlow.Sources.Ambient ambient2(
constantAmbientTemperature=TAmb,
medium=medium,
constantAmbientPressure=0)
Modelica.Thermal.HeatTransfer.Components.HeatCapacitor heatCapacitor1(
C=0.1, T(start=TAmb, fixed=true))
Modelica.Thermal.HeatTransfer.Sources.PrescribedHeatFlow
prescribedHeatFlow1
Modelica.Thermal.HeatTransfer.Components.Convection convection1
Modelica.Thermal.HeatTransfer.Components.HeatCapacitor heatCapacitor2(
C=0.1, T(start=TAmb, fixed=true))
Modelica.Thermal.HeatTransfer.Sources.PrescribedHeatFlow
prescribedHeatFlow2
Modelica.Thermal.HeatTransfer.Components.Convection convection2
Modelica.Blocks.Sources.Constant volumeFlow(k=1)
Modelica.Blocks.Sources.Constant heatFlow1(k=5)
Modelica.Blocks.Sources.Constant heatFlow2(k=10)
Modelica.Blocks.Sources.Constant thermalConductance1(k=1)
Modelica.Blocks.Sources.Constant thermalConductance2(k=1)
equation
connect(ambient1.flowPort, pump.flowPort_a)
connect(pump.flowPort_b, pipe1.flowPort_a)
connect(pump.flowPort_b, pipe2.flowPort_a)
connect(heatFlow2.y,prescribedHeatFlow2. Q_flow)
connect(heatFlow1.y,prescribedHeatFlow1. Q_flow)
connect(thermalConductance2.y, convection2.Gc)
connect(thermalConductance1.y, convection1.Gc)
connect(pipe1.heatPort,convection1. fluid)
connect(convection2.fluid,pipe2. heatPort)
connect(convection2.solid,prescribedHeatFlow2. port)
connect(convection2.solid,heatCapacitor2. port)
connect(convection1.solid,prescribedHeatFlow1. port)
connect(convection1.solid,heatCapacitor1. port)
connect(pipe2.flowPort_b,pipe3. flowPort_a)
connect(pipe1.flowPort_b,pipe3. flowPort_a)
connect(pipe3.flowPort_b,ambient2. flowPort)
connect(volumeFlow.y, pump.volumeFlow)
end ParallelCooling; |
Cooling circuit with parallel branches and drop out of pump. 6th test example: ParallelPumpDropOut | within Modelica.Thermal.FluidHeatFlow.Examples;
model ParallelPumpDropOut
"Cooling circuit with parallel branches and drop out of pump"
extends Modelica.Icons.Example;
parameter FluidHeatFlow.Media.Medium medium=FluidHeatFlow.Media.Medium()
"Cooling medium"
parameter SI.Temperature TAmb(displayUnit="degC")=293.15
"Ambient temperature";
output SI.TemperatureDifference dTSource1=
prescribedHeatFlow1.port.T-TAmb "Temperature difference between heat source 1 and ambient condition";
output SI.TemperatureDifference dTtoPipe1=prescribedHeatFlow1.port.T-pipe1.T_q
"Temperature difference between heat source 1 and coolant in pipe 1";
output SI.TemperatureDifference dTCoolant1=pipe1.dT
"Coolant1's temperature increase";
output SI.TemperatureDifference dTSource2=
prescribedHeatFlow2.port.T-TAmb "Temperature difference between heat source 2 and ambient condition";
output SI.TemperatureDifference dTtoPipe2=prescribedHeatFlow2.port.T-pipe2.T_q
"Temperature difference between heat source 2 and coolant in pipe 2";
output SI.TemperatureDifference dTCoolant2=pipe2.dT
"Coolant2's temperature increase";
output SI.TemperatureDifference dTmixedCoolant=ambient2.T_port-ambient1.T_port
"Overall change in coolant temperature";
FluidHeatFlow.Sources.Ambient ambient1(
constantAmbientTemperature=TAmb,
medium=medium,
constantAmbientPressure=0)
FluidHeatFlow.Sources.VolumeFlow pump(
medium=medium,
m=0,
T0=TAmb,
useVolumeFlowInput=true,
constantVolumeFlow=1)
FluidHeatFlow.Components.Pipe pipe1(
medium=medium,
m=0.1,
T0=TAmb,
V_flowLaminar=0.1,
dpLaminar(displayUnit="Pa") = 0.1,
V_flowNominal=1,
dpNominal(displayUnit="Pa") = 1,
h_g=0,
T0fixed=true,
useHeatPort=true)
FluidHeatFlow.Components.Pipe pipe2(
medium=medium,
m=0.1,
T0=TAmb,
V_flowLaminar=0.1,
dpLaminar(displayUnit="Pa") = 0.1,
V_flowNominal=1,
dpNominal(displayUnit="Pa") = 1,
h_g=0,
T0fixed=true,
useHeatPort=true)
FluidHeatFlow.Components.Pipe pipe3(
medium=medium,
T0=TAmb,
m=0.1,
V_flowLaminar=0.1,
dpLaminar(displayUnit="Pa") = 0.1,
V_flowNominal=1,
dpNominal(displayUnit="Pa") = 1,
h_g=0,
T0fixed=true)
FluidHeatFlow.Sources.Ambient ambient2(
constantAmbientTemperature=TAmb,
medium=medium,
constantAmbientPressure=0)
Modelica.Thermal.HeatTransfer.Components.HeatCapacitor heatCapacitor1(
C=0.1, T(start=TAmb, fixed=true))
Modelica.Thermal.HeatTransfer.Sources.PrescribedHeatFlow
prescribedHeatFlow1
Modelica.Thermal.HeatTransfer.Components.Convection Convection1
Modelica.Thermal.HeatTransfer.Components.HeatCapacitor heatCapacitor2(
C=0.1, T(start=TAmb, fixed=true))
Modelica.Thermal.HeatTransfer.Sources.PrescribedHeatFlow prescribedHeatFlow2
Modelica.Thermal.HeatTransfer.Components.Convection convection2
FluidHeatFlow.Examples.Utilities.DoubleRamp volumeFlow
Modelica.Blocks.Sources.Constant heatFlow1(k=5)
Modelica.Blocks.Sources.Constant heatFlow2(k=10)
Modelica.Blocks.Sources.Constant thermalConductance1(k=1)
Modelica.Blocks.Sources.Constant thermalConductance2(k=1)
equation
connect(ambient1.flowPort, pump.flowPort_a)
connect(pump.flowPort_b, pipe1.flowPort_a)
connect(pump.flowPort_b, pipe2.flowPort_a)
connect(heatFlow2.y,prescribedHeatFlow2. Q_flow)
connect(heatFlow1.y,prescribedHeatFlow1. Q_flow)
connect(thermalConductance2.y, convection2.Gc)
connect(thermalConductance1.y, Convection1.Gc)
connect(pipe1.heatPort, Convection1.fluid)
connect(convection2.fluid,pipe2. heatPort)
connect(convection2.solid,prescribedHeatFlow2. port)
connect(convection2.solid,heatCapacitor2. port)
connect(Convection1.solid,prescribedHeatFlow1. port)
connect(Convection1.solid,heatCapacitor1. port)
connect(pipe2.flowPort_b,pipe3. flowPort_a)
connect(pipe1.flowPort_b,pipe3. flowPort_a)
connect(pipe3.flowPort_b,ambient2. flowPort)
connect(volumeFlow.y, pump.volumeFlow)
end ParallelPumpDropOut; |
Cooling circuit with pump and valve. 4th test example: PumpAndValve | within Modelica.Thermal.FluidHeatFlow.Examples;
model PumpAndValve "Cooling circuit with pump and valve"
extends Modelica.Icons.Example;
parameter FluidHeatFlow.Media.Medium medium=FluidHeatFlow.Media.Medium()
"Cooling medium"
parameter SI.Temperature TAmb(displayUnit="degC")=293.15
"Ambient temperature";
output SI.TemperatureDifference dTSource=
prescribedHeatFlow.port.T-TAmb "Source over Ambient";
output SI.TemperatureDifference dTtoPipe=prescribedHeatFlow.port.T-pipe.T_q
"Temperature difference between heat source and ambient condition";
output SI.TemperatureDifference dTCoolant=pipe.dT
"Coolant's temperature increase";
FluidHeatFlow.Sources.Ambient ambient1(
constantAmbientTemperature=TAmb,
medium=medium,
constantAmbientPressure=0)
FluidHeatFlow.Sources.IdealPump idealPump(
medium=medium,
m=0,
T0=TAmb,
V_flow0=2,
wNominal(displayUnit="rad/s") = 1,
dp0(displayUnit="Pa") = 2)
FluidHeatFlow.Components.Valve valve(
medium=medium,
m=0,
T0=TAmb,
LinearCharacteristic=false,
y1=1,
Kv1=1,
kv0=0.01,
dp0(displayUnit="Pa") = 1,
rho0=10,
frictionLoss=0)
FluidHeatFlow.Components.Pipe pipe(
medium=medium,
T0=TAmb,
m=0.1,
V_flowLaminar=0.1,
dpLaminar(displayUnit="Pa") = 0.1,
V_flowNominal=1,
dpNominal(displayUnit="Pa") = 1,
h_g=0,
T0fixed=true,
useHeatPort=true)
FluidHeatFlow.Sources.Ambient ambient2(
constantAmbientTemperature=TAmb,
medium=medium,
constantAmbientPressure=0)
Modelica.Thermal.HeatTransfer.Components.HeatCapacitor heatCapacitor(
C=0.1, T(start=TAmb, fixed=true))
Modelica.Thermal.HeatTransfer.Sources.PrescribedHeatFlow prescribedHeatFlow
Modelica.Blocks.Sources.Constant heatFlow(k=10)
Modelica.Thermal.HeatTransfer.Components.Convection convection
Modelica.Blocks.Sources.Constant thermalConductance(k=1)
Modelica.Mechanics.Rotational.Sources.Speed speed(exact=true, useSupport=
false)
Modelica.Blocks.Sources.Ramp speedRamp(
height=0.5,
offset=0.5,
duration=0.1,
startTime=0.4)
Modelica.Blocks.Sources.Ramp valveRamp(
height=0.5,
offset=0.5,
duration=0.1,
startTime=0.9)
equation
connect(pipe.flowPort_b, ambient2.flowPort)
connect(heatFlow.y, prescribedHeatFlow.Q_flow)
connect(convection.solid, prescribedHeatFlow.port)
connect(convection.solid, heatCapacitor.port)
connect(pipe.heatPort, convection.fluid)
connect(thermalConductance.y, convection.Gc)
connect(ambient1.flowPort, idealPump.flowPort_a)
connect(idealPump.flowPort_b, valve.flowPort_a)
connect(valve.flowPort_b, pipe.flowPort_a)
connect(speedRamp.y, speed.w_ref)
connect(valveRamp.y, valve.y)
connect(speed.flange, idealPump.flange_a)
end PumpAndValve; |
Cooling circuit with drop out of pump. 5th test example: PumpDropOut | within Modelica.Thermal.FluidHeatFlow.Examples;
model PumpDropOut "Cooling circuit with drop out of pump"
extends Modelica.Icons.Example;
parameter FluidHeatFlow.Media.Medium medium=FluidHeatFlow.Media.Medium()
"Cooling medium"
parameter SI.Temperature TAmb(displayUnit="degC")=293.15
"Ambient temperature";
output SI.TemperatureDifference dTSource=
prescribedHeatFlow.port.T-TAmb "Temperature difference between heat source and ambient condition";
output SI.TemperatureDifference dTtoPipe=prescribedHeatFlow.port.T-pipe.T_q
"Temperature difference between heat source and coolant";
output SI.TemperatureDifference dTCoolant=pipe.dT
"Coolant's temperature increase";
FluidHeatFlow.Sources.Ambient ambient1(
constantAmbientTemperature=TAmb,
medium=medium,
constantAmbientPressure=0)
FluidHeatFlow.Sources.VolumeFlow pump(
medium=medium,
m=0,
T0=TAmb,
useVolumeFlowInput=true,
constantVolumeFlow=1)
FluidHeatFlow.Components.Pipe pipe(
medium=medium,
T0=TAmb,
m=0.1,
V_flowLaminar=0.1,
dpLaminar(displayUnit="Pa") = 0.1,
V_flowNominal=1,
dpNominal(displayUnit="Pa") = 1,
h_g=0,
T0fixed=true,
useHeatPort=true)
FluidHeatFlow.Sources.Ambient ambient2(
constantAmbientTemperature=TAmb,
medium=medium,
constantAmbientPressure=0)
Modelica.Thermal.HeatTransfer.Components.HeatCapacitor heatCapacitor(
C=0.1, T(start=TAmb, fixed=true))
Modelica.Thermal.HeatTransfer.Sources.PrescribedHeatFlow prescribedHeatFlow
FluidHeatFlow.Examples.Utilities.DoubleRamp volumeFlow
Modelica.Blocks.Sources.Constant heatFlow(k=10)
Modelica.Thermal.HeatTransfer.Components.Convection convection
Modelica.Blocks.Sources.Constant thermalConductance(k=1)
equation
connect(ambient1.flowPort, pump.flowPort_a)
connect(pump.flowPort_b, pipe.flowPort_a)
connect(pipe.flowPort_b, ambient2.flowPort)
connect(heatFlow.y, prescribedHeatFlow.Q_flow)
connect(convection.solid, prescribedHeatFlow.port)
connect(convection.solid, heatCapacitor.port)
connect(pipe.heatPort, convection.fluid)
connect(thermalConductance.y, convection.Gc)
connect(volumeFlow.y, pump.volumeFlow)
end PumpDropOut; |
Simple cooling circuit. 1st test example: SimpleCooling | within Modelica.Thermal.FluidHeatFlow.Examples;
model SimpleCooling "Simple cooling circuit"
extends Modelica.Icons.Example;
parameter FluidHeatFlow.Media.Medium medium=FluidHeatFlow.Media.Medium()
"Cooling medium"
parameter SI.Temperature TAmb(displayUnit="degC")=293.15
"Ambient temperature";
output SI.TemperatureDifference dTSource=
prescribedHeatFlow.port.T-TAmb "Temperature difference between heat source and ambient condition";
output SI.TemperatureDifference dTtoPipe=prescribedHeatFlow.port.T-pipe.T_q
"Temperature difference between heat source and coolant";
output SI.TemperatureDifference dTCoolant=pipe.dT
"Coolant's temperature increase";
FluidHeatFlow.Sources.Ambient ambient1(
constantAmbientTemperature=TAmb,
medium=medium,
constantAmbientPressure=0)
FluidHeatFlow.Sources.VolumeFlow pump(
medium=medium,
m=0,
T0=TAmb,
useVolumeFlowInput=true,
constantVolumeFlow=1)
FluidHeatFlow.Components.Pipe pipe(
medium=medium,
m=0.1,
T0=TAmb,
V_flowLaminar=0.1,
dpLaminar(displayUnit="Pa") = 0.1,
V_flowNominal=1,
dpNominal(displayUnit="Pa") = 1,
h_g=0,
T0fixed=true,
useHeatPort=true)
FluidHeatFlow.Sources.Ambient ambient2(
constantAmbientTemperature=TAmb,
medium=medium,
constantAmbientPressure=0)
Modelica.Thermal.HeatTransfer.Components.HeatCapacitor heatCapacitor(
C=0.1, T(start=TAmb, fixed=true))
Modelica.Thermal.HeatTransfer.Sources.PrescribedHeatFlow
prescribedHeatFlow
Modelica.Blocks.Sources.Constant volumeFlow(k=1)
Modelica.Blocks.Sources.Constant heatFlow(k=10)
Modelica.Thermal.HeatTransfer.Components.Convection convection
Modelica.Blocks.Sources.Constant thermalConductance(k=1)
equation
connect(ambient1.flowPort, pump.flowPort_a)
connect(pump.flowPort_b, pipe.flowPort_a)
connect(pipe.flowPort_b, ambient2.flowPort)
connect(heatFlow.y, prescribedHeatFlow.Q_flow)
connect(convection.solid, prescribedHeatFlow.port)
connect(convection.solid, heatCapacitor.port)
connect(pipe.heatPort, convection.fluid)
connect(thermalConductance.y, convection.Gc)
connect(volumeFlow.y, pump.volumeFlow)
end SimpleCooling; |
Two cylinder system. Test of a system with 2 cylinders (with same volume): | within Modelica.Thermal.FluidHeatFlow.Examples;
model TestCylinder "Two cylinder system"
extends Modelica.Icons.Example;
output SI.Force f1=-10*cylinder1.f "10 x Force on piston 1";
output SI.Position s1=0.1*cylinder1.s "0.1 x Position of piston 1";
output SI.Position s2=cylinder2.s "Position of piston 2";
output SI.Force f2=-cylinder2.f "Force on piston 2";
output SI.Force f=springDamper.f "Force of springDamper";
Modelica.Blocks.Sources.CombiTimeTable combiTimeTable(
table=[0,0; 0.25,-1; 0.5,0; 0.75,0],
smoothness=Modelica.Blocks.Types.Smoothness.ConstantSegments)
Modelica.Mechanics.Translational.Sources.Force force
FluidHeatFlow.Components.Cylinder cylinder1(
A=0.1,
L=10,
s(fixed=true, start=cylinder1.L/2),
T0=313.15,
T0fixed=true)
FluidHeatFlow.Components.Cylinder cylinder2(
T(fixed=true),
A=1,
L=1,
T0=313.15,
T0fixed=true)
Modelica.Mechanics.Translational.Components.Mass mass(m=1)
Modelica.Mechanics.Translational.Components.SpringDamper springDamper(
s_rel0=cylinder2.L/2,
c=100,
s_rel(fixed=true, start=cylinder2.L/2),
v_rel(fixed=true, start=0),
d=10)
Modelica.Mechanics.Translational.Components.Fixed fixed
equation
connect(cylinder1.flowPort, cylinder2.flowPort)
connect(force.flange, cylinder1.flange)
connect(combiTimeTable.y[1], force.f)
connect(cylinder2.flange, mass.flange_a)
connect(springDamper.flange_b, mass.flange_b)
connect(springDamper.flange_a, fixed.flange)
end TestCylinder; |
Test the OpenTank model. First, the medium is pumped out of the tank (initial level = 0.5 m, T = 40°C) to an (infinite) ambient (T = 20°C): | within Modelica.Thermal.FluidHeatFlow.Examples;
model TestOpenTank "Test the OpenTank model"
extends Modelica.Icons.Example;
output SI.VolumeFlowRate V_flow=volumeFlow.V_flow "Volume flow rate to tank";
output SI.Length level=openTank.level "Level in tank";
output SI.Temperature T(displayUnit="degC")=openTank.TTank "Temperature in tank";
FluidHeatFlow.Components.OpenTank openTank(
ATank=1,
hTank=1,
useHeatPort=false,
pAmbient=0,
g=10,
level(fixed=true, start=0.5),
T0=313.15,
T0fixed=true)
FluidHeatFlow.Sources.Ambient ambient(constantAmbientPressure=0,
constantAmbientTemperature=293.15)
FluidHeatFlow.Sources.VolumeFlow volumeFlow(
m=0,
useVolumeFlowInput=true,
constantVolumeFlow=1,
T0=293.15)
Modelica.Blocks.Sources.CombiTimeTable combiTimeTable(
table=[0,0; 0.5,0; 0.5,-1; 0.75, -1; 0.75,1; 1,1; 1,0; 1.5,0])
equation
connect(combiTimeTable.y[1], volumeFlow.volumeFlow)
connect(openTank.flowPort, volumeFlow.flowPort_b)
connect(volumeFlow.flowPort_a, ambient.flowPort)
end TestOpenTank; |
Cooling of two hot masses. 8th test example: TwoMass | within Modelica.Thermal.FluidHeatFlow.Examples;
model TwoMass "Cooling of two hot masses"
extends Modelica.Icons.Example;
parameter FluidHeatFlow.Media.Medium medium=FluidHeatFlow.Media.Medium()
"Cooling medium"
parameter SI.Temperature TAmb(displayUnit="degC")=293.15
"Ambient temperature";
parameter SI.Temperature TMass1(displayUnit="degC")=313.15
"Initial temperature of mass1";
parameter SI.Temperature TMass2(displayUnit="degC")=333.15
"Initial temperature of mass2";
output SI.TemperatureDifference dTMass1=
heatCapacitor1.port.T-TAmb "Temperature difference between mass 1 and ambient condition";
output SI.TemperatureDifference dTtoPipe1=heatCapacitor1.port.T-pipe1.T_q
"Temperature difference between mass 1 and coolant in pipe 1";
output SI.TemperatureDifference dTCoolant1=pipe1.dT
"Change in coolant temperature in pipe 1";
output SI.TemperatureDifference dTMass2=
heatCapacitor2.port.T-TAmb "Temperature difference between mass 2 and ambient condition";
output SI.TemperatureDifference dTtoPipe2=heatCapacitor2.port.T-pipe2.T_q
"Temperature difference between mass 2 and coolant in pipe 2";
output SI.TemperatureDifference dTCoolant2=pipe2.dT
"Coolant2's temperature increase";
output SI.TemperatureDifference dTmixedCoolant=ambient2.T_port-ambient1.T_port
"Mixed Coolant's temperature increase";
FluidHeatFlow.Sources.Ambient ambient1(
constantAmbientTemperature=TAmb,
medium=medium,
constantAmbientPressure=0)
FluidHeatFlow.Sources.VolumeFlow pump(
medium=medium,
m=0,
T0=TAmb,
useVolumeFlowInput=true,
constantVolumeFlow=1)
FluidHeatFlow.Components.Pipe pipe1(
medium=medium,
m=0.1,
T0=TAmb,
V_flowLaminar=0.1,
dpLaminar(displayUnit="Pa") = 0.1,
V_flowNominal=1,
dpNominal(displayUnit="Pa") = 1,
h_g=0,
T0fixed=true,
useHeatPort=true)
FluidHeatFlow.Components.Pipe pipe2(
medium=medium,
m=0.1,
T0=TAmb,
V_flowLaminar=0.1,
dpLaminar(displayUnit="Pa") = 0.1,
V_flowNominal=1,
dpNominal(displayUnit="Pa") = 1,
h_g=0,
T0fixed=true,
useHeatPort=true)
FluidHeatFlow.Components.Pipe pipe3(
medium=medium,
m=0.1,
T0=TAmb,
V_flowLaminar=0.1,
dpLaminar(displayUnit="Pa") = 0.1,
V_flowNominal=1,
dpNominal(displayUnit="Pa") = 1,
h_g=0,
T0fixed=true)
FluidHeatFlow.Sources.Ambient ambient2(
constantAmbientTemperature=TAmb,
medium=medium,
constantAmbientPressure=0)
Modelica.Thermal.HeatTransfer.Components.HeatCapacitor heatCapacitor1(
C=0.1, T(start=TMass1, fixed=true))
Modelica.Thermal.HeatTransfer.Components.ThermalConductor
thermalConductor1(G=1)
Modelica.Thermal.HeatTransfer.Components.HeatCapacitor heatCapacitor2(
C=0.1, T(start=TMass2, fixed=true))
Modelica.Thermal.HeatTransfer.Components.ThermalConductor
thermalConductor2(G=1)
FluidHeatFlow.Examples.Utilities.DoubleRamp volumeFlow(
offset=0,
height_1=1,
height_2=-2)
equation
connect(ambient1.flowPort, pump.flowPort_a)
connect(pump.flowPort_b, pipe1.flowPort_a)
connect(pump.flowPort_b, pipe2.flowPort_a)
connect(pipe2.flowPort_b,pipe3. flowPort_a)
connect(pipe1.flowPort_b,pipe3. flowPort_a)
connect(pipe3.flowPort_b,ambient2. flowPort)
connect(heatCapacitor2.port,thermalConductor2. port_a)
connect(thermalConductor2.port_b,pipe2. heatPort)
connect(pipe1.heatPort,thermalConductor1. port_b)
connect(thermalConductor1.port_a, heatCapacitor1.port)
connect(volumeFlow.y, pump.volumeFlow)
end TwoMass; |
Two connected open tanks. Two tanks are connected with a pipe: | within Modelica.Thermal.FluidHeatFlow.Examples;
model TwoTanks "Two connected open tanks"
extends Modelica.Icons.Example;
output SI.VolumeFlowRate V_flow=pipe.V_flow "Volume flow rate tank 1 -> tank 2";
output SI.Length level1=openTank1.level "Level in tank 1";
output SI.Temperature T1(displayUnit="degC")=openTank1.TTank "Temperature in tank 1";
output SI.Length level2=openTank2.level "Level in tank 2";
output SI.Temperature T2(displayUnit="degC")=openTank2.TTank "Temperature in tank 2";
FluidHeatFlow.Components.OpenTank openTank1(
ATank=1,
hTank=1,
useHeatPort=false,
g=10,
level(fixed=true, start=0.9),
T0=313.15,
T0fixed=true,
pAmbient=100000)
FluidHeatFlow.Components.OpenTank openTank2(
ATank=1,
hTank=1,
useHeatPort=false,
g=10,
level(fixed=true, start=0.1),
T0=293.15,
T0fixed=true,
pAmbient=100000)
FluidHeatFlow.Components.Pipe pipe(
m=0,
h_g=0,
T0=293.15,
V_flowLaminar=2,
dpLaminar=10,
V_flowNominal=4,
dpNominal=30)
equation
connect(openTank1.flowPort, pipe.flowPort_a)
connect(pipe.flowPort_b, openTank2.flowPort)
end TwoTanks; |
Water pumping station. There are two reservoirs at ambient pressure, the second one 25 m higher than the first one.
The ideal pump is driven by a speed source, starting from zero and going up to 1.2 times nominal speed.
To avoid water flowing back, the one way valve is used. | within Modelica.Thermal.FluidHeatFlow.Examples;
model WaterPump "Water pumping station"
extends Modelica.Icons.Example;
import Modelica.Constants.pi;
output SI.VolumeFlowRate V_flow=volumeFlowSensor.y "Volume flow rate";
output SI.Pressure p(displayUnit="bar")=pressureSensor.y "Pressure at pump outlet";
output SI.AngularVelocity w(displayUnit="1/min")=multiSensor.w "Pump speed";
output SI.Torque tau=multiSensor.tau "Pump torque";
output SI.Power power=multiSensor.power "Pump power";
Modelica.Blocks.Sources.Trapezoid trapezoid(
period=2,
nperiod=1,
offset=0,
rising=0.6,
width=0.6,
falling=0.6,
startTime=0.1,
amplitude=1.2)
Modelica.Blocks.Math.Gain gain(k=idealPump.wNominal)
Modelica.Mechanics.Rotational.Sources.Speed speed(exact=true)
Modelica.Mechanics.Rotational.Sensors.MultiSensor multiSensor(w(displayUnit="1/min"))
FluidHeatFlow.Sources.Ambient ambient1(
medium=FluidHeatFlow.Media.Water(),
constantAmbientPressure=100000,
constantAmbientTemperature=293.15)
FluidHeatFlow.Sources.IdealPump idealPump(
medium=FluidHeatFlow.Media.Water(),
m=0,
V_flow0=0.18,
T0=293.15,
wNominal=104.71975511966,
dp0=500000)
FluidHeatFlow.Sensors.VolumeFlowSensor volumeFlowSensor(medium=
FluidHeatFlow.Media.Water())
FluidHeatFlow.Sensors.PressureSensor pressureSensor(medium=
FluidHeatFlow.Media.Water())
FluidHeatFlow.Components.OneWayValve oneWayValve(
medium=FluidHeatFlow.Media.Water(),
m=0,
frictionLoss=0,
T0=293.15,
V_flowNominal=0.18,
dpForward=10000,
dpNominal=500000,
V_flowBackward=1e-6)
FluidHeatFlow.Components.Pipe pipe(
m=0,
V_flowLaminar=0.09,
V_flowNominal=0.18,
h_g=25,
medium=FluidHeatFlow.Media.Water(),
T0=293.15,
dpLaminar=10000,
dpNominal=30000)
FluidHeatFlow.Sources.Ambient ambient2(
medium=FluidHeatFlow.Media.Water(),
constantAmbientPressure=100000,
constantAmbientTemperature=293.15)
equation
connect(idealPump.flowPort_a, ambient1.flowPort)
connect(speed.flange, multiSensor.flange_a)
connect(oneWayValve.flowPort_a, volumeFlowSensor.flowPort_b)
connect(volumeFlowSensor.flowPort_a, idealPump.flowPort_b)
connect(ambient2.flowPort, pipe.flowPort_b)
connect(pipe.flowPort_a, oneWayValve.flowPort_b)
connect(multiSensor.flange_b, idealPump.flange_a)
connect(oneWayValve.flowPort_a, pressureSensor.flowPort)
connect(gain.y, speed.w_ref)
connect(trapezoid.y, gain.u)
end WaterPump; |