Partial medium properties (base package of all media packages)
Information
PartialMedium is a package and contains all declarations for
a medium. This means that constants, models, and functions
are defined that every medium is supposed to support
(some of them are optional). A medium package
inherits from PartialMedium and provides the
equations for the medium. The details of this package
are described in
Modelica.Media.UsersGuide.
Extends from Modelica.Icons.MaterialPropertiesPackage (Icon for package containing property classes).
Package Content
| Name | Description |
|---|
| ThermoStates | Enumeration type for independent variables |
| mediumName="unusablePartialMedium" | Name of the medium |
| substanceNames={mediumName} | Names of the mixture substances. Set substanceNames={mediumName} if only one substance. |
| extraPropertiesNames=fill("", 0) | Names of the additional (extra) transported properties. Set extraPropertiesNames=fill("",0) if unused |
| singleState | = true, if u and d are not a function of pressure |
| reducedX=true | = true if medium contains the equation sum(X) = 1.0; set reducedX=true if only one substance (see docu for details) |
| fixedX=false | = true if medium contains the equation X = reference_X |
| reference_p=101325 | Reference pressure of Medium: default 1 atmosphere |
| reference_T=298.15 | Reference temperature of Medium: default 25 deg Celsius |
| reference_X=fill(1/nX, nX) | Default mass fractions of medium |
| p_default=101325 | Default value for pressure of medium (for initialization) |
| T_default=Modelica.SIunits.Conversions.from_degC(20) | Default value for temperature of medium (for initialization) |
| h_default=specificEnthalpy_pTX(p_default, T_default, X_default) | Default value for specific enthalpy of medium (for initialization) |
| X_default=reference_X | Default value for mass fractions of medium (for initialization) |
| nS=size(substanceNames, 1) | Number of substances |
| nX=nS | Number of mass fractions |
| nXi=if fixedX then 0 else if reducedX then nS - 1 else nS | Number of structurally independent mass fractions (see docu for details) |
| nC=size(extraPropertiesNames, 1) | Number of extra (outside of standard mass-balance) transported properties |
| C_nominal=1.0e-6*ones(nC) | Default for the nominal values for the extra properties |
 FluidConstants
| critical, triple, molecular and other standard data of fluid |
| ThermodynamicState
| Minimal variable set that is available as input argument to every medium function |
 BaseProperties
| Base properties (p, d, T, h, u, R, MM and, if applicable, X and Xi) of a medium |
 setState_pTX
| Return thermodynamic state as function of p, T and composition X or Xi |
| setState_phX
| Return thermodynamic state as function of p, h and composition X or Xi |
| setState_psX
| Return thermodynamic state as function of p, s and composition X or Xi |
| setState_dTX
| Return thermodynamic state as function of d, T and composition X or Xi |
| setSmoothState
| Return thermodynamic state so that it smoothly approximates: if x > 0 then state_a else state_b |
| dynamicViscosity
| Return dynamic viscosity |
| thermalConductivity
| Return thermal conductivity |
| prandtlNumber
| Return the Prandtl number |
| pressure
| Return pressure |
| temperature
| Return temperature |
| density
| Return density |
| specificEnthalpy
| Return specific enthalpy |
| specificInternalEnergy
| Return specific internal energy |
| specificEntropy
| Return specific entropy |
| specificGibbsEnergy
| Return specific Gibbs energy |
| specificHelmholtzEnergy
| Return specific Helmholtz energy |
| specificHeatCapacityCp
| Return specific heat capacity at constant pressure |
 heatCapacity_cp
| alias for deprecated name |
| specificHeatCapacityCv
| Return specific heat capacity at constant volume |
| heatCapacity_cv
| alias for deprecated name |
| isentropicExponent
| Return isentropic exponent |
| isentropicEnthalpy
| Return isentropic enthalpy |
| velocityOfSound
| Return velocity of sound |
| isobaricExpansionCoefficient
| Return overall the isobaric expansion coefficient beta |
| beta
| alias for isobaricExpansionCoefficient for user convenience |
| isothermalCompressibility
| Return overall the isothermal compressibility factor |
| kappa
| alias of isothermalCompressibility for user convenience |
| density_derp_h
| Return density derivative w.r.t. pressure at const specific enthalpy |
| density_derh_p
| Return density derivative w.r.t. specific enthalpy at constant pressure |
| density_derp_T
| Return density derivative w.r.t. pressure at const temperature |
| density_derT_p
| Return density derivative w.r.t. temperature at constant pressure |
| density_derX
| Return density derivative w.r.t. mass fraction |
| molarMass
| Return the molar mass of the medium |
| specificEnthalpy_pTX
| Return specific enthalpy from p, T, and X or Xi |
| specificEntropy_pTX
| Return specific enthalpy from p, T, and X or Xi |
| density_pTX
| Return density from p, T, and X or Xi |
| temperature_phX
| Return temperature from p, h, and X or Xi |
| density_phX
| Return density from p, h, and X or Xi |
| temperature_psX
| Return temperature from p,s, and X or Xi |
| density_psX
| Return density from p, s, and X or Xi |
| specificEnthalpy_psX
| Return specific enthalpy from p, s, and X or Xi |
| AbsolutePressure
| Type for absolute pressure with medium specific attributes |
| Density
| Type for density with medium specific attributes |
| DynamicViscosity
| Type for dynamic viscosity with medium specific attributes |
| EnthalpyFlowRate
| Type for enthalpy flow rate with medium specific attributes |
| MassFlowRate
| Type for mass flow rate with medium specific attributes |
| MassFraction
| Type for mass fraction with medium specific attributes |
| MoleFraction
| Type for mole fraction with medium specific attributes |
| MolarMass
| Type for molar mass with medium specific attributes |
| MolarVolume
| Type for molar volume with medium specific attributes |
| IsentropicExponent
| Type for isentropic exponent with medium specific attributes |
| SpecificEnergy
| Type for specific energy with medium specific attributes |
| SpecificInternalEnergy
| Type for specific internal energy with medium specific attributes |
| SpecificEnthalpy
| Type for specific enthalpy with medium specific attributes |
| SpecificEntropy
| Type for specific entropy with medium specific attributes |
| SpecificHeatCapacity
| Type for specific heat capacity with medium specific attributes |
| SurfaceTension
| Type for surface tension with medium specific attributes |
| Temperature
| Type for temperature with medium specific attributes |
| ThermalConductivity
| Type for thermal conductivity with medium specific attributes |
| PrandtlNumber
| Type for Prandtl number with medium specific attributes |
| VelocityOfSound
| Type for velocity of sound with medium specific attributes |
| ExtraProperty
| Type for unspecified, mass-specific property transported by flow |
| CumulativeExtraProperty
| Type for conserved integral of unspecified, mass specific property |
| ExtraPropertyFlowRate
| Type for flow rate of unspecified, mass-specific property |
| IsobaricExpansionCoefficient
| Type for isobaric expansion coefficient with medium specific attributes |
| DipoleMoment
| Type for dipole moment with medium specific attributes |
| DerDensityByPressure
| Type for partial derivative of density with resect to pressure with medium specific attributes |
| DerDensityByEnthalpy
| Type for partial derivative of density with resect to enthalpy with medium specific attributes |
| DerEnthalpyByPressure
| Type for partial derivative of enthalpy with resect to pressure with medium specific attributes |
| DerDensityByTemperature
| Type for partial derivative of density with resect to temperature with medium specific attributes |
 Choices
| Types, constants to define menu choices |
Types and constants
constant Modelica.Media.Interfaces.PartialMedium.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.SIunits.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)";
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";
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 MassFlowRate = SI.MassFlowRate (
quantity="MassFlowRate." + mediumName,
min=-1.0e5,
max=1.e5) "Type for mass 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=300) "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 resect to pressure with medium specific attributes";
type DerDensityByEnthalpy = SI.DerDensityByEnthalpy
"Type for partial derivative of density with resect to enthalpy with medium specific attributes";
type DerEnthalpyByPressure = SI.DerEnthalpyByPressure
"Type for partial derivative of enthalpy with resect to pressure with medium specific attributes";
type DerDensityByTemperature = SI.DerDensityByTemperature
"Type for partial derivative of density with resect to temperature with medium specific attributes";
critical, triple, molecular and other standard data of fluid
Information
Extends from Modelica.Icons.Record (Icon for records).
Modelica definition
replaceable 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;
Minimal variable set that is available as input argument to every medium function
Information
Extends from Modelica.Icons.Record (Icon for records).
Modelica definition
replaceable record ThermodynamicState
"Minimal variable set that is available as input argument to every medium function"
extends Modelica.Icons.Record;
end ThermodynamicState;
Base properties (p, d, T, h, u, R, MM and, if applicable, X and Xi) of a medium
Information
Model BaseProperties is a model within package PartialMedium
and contains the declarations of the minimum number of
variables that every medium model is supposed to support.
A specific medium inherits from model BaseProperties and provides
the equations for the basic properties.
The BaseProperties model contains the following 7+nXi variables
(nXi is the number of independent mass fractions defined in package
PartialMedium):
| Variable |
Unit |
Description |
| T |
K |
temperature |
| p |
Pa |
absolute pressure |
| d |
kg/m3 |
density |
| h |
J/kg |
specific enthalpy |
| u |
J/kg |
specific internal energy |
| Xi[nXi] |
kg/kg |
independent mass fractions m_i/m |
| R |
J/kg.K |
gas constant |
| M |
kg/mol |
molar mass |
In order to implement an actual medium model, one can extend from this
base model and add 5 equations that provide relations among
these variables. Equations will also have to be added in order to
set all the variables within the ThermodynamicState record state.
If standardOrderComponents=true, the full composition vector X[nX]
is determined by the equations contained in this base class, depending
on the independent mass fraction vector Xi[nXi].
Additional 2 + nXi equations will have to be provided
when using the BaseProperties model, in order to fully specify the
thermodynamic conditions. The input connector qualifier applied to
p, h, and nXi indirectly declares the number of missing equations,
permitting advanced equation balance checking by Modelica tools.
Please note that this doesn't mean that the additional equations
should be connection equations, nor that exactly those variables
should be supplied, in order to complete the model.
For further information, see the Modelica.Media User's guide, and
Section 4.7 (Balanced Models) of the Modelica 3.0 specification.
Parameters
| Type | Name | Default | Description |
|---|
| Boolean | standardOrderComponents | true | if true, and reducedX = true, the last element of X will be computed from the other ones |
| Advanced |
| Boolean | preferredMediumStates | false | = true if StateSelect.prefer shall be used for the independent property variables of the medium |
Modelica definition
replaceable partial model BaseProperties
"Base properties (p, d, T, h, u, R, 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 "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";
SI.Conversions.NonSIunits.Temperature_degC T_degC=
Modelica.SIunits.Conversions.to_degC(T) "Temperature of medium in [degC]";
SI.Conversions.NonSIunits.Pressure_bar p_bar=
Modelica.SIunits.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;
Return thermodynamic state as function of p, T and composition X or Xi
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
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;
Return thermodynamic state as function of p, h and composition X or Xi
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
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;
Return thermodynamic state as function of p, s and composition X or Xi
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
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;
Return thermodynamic state as function of d, T and composition X or Xi
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
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;
Return thermodynamic state so that it smoothly approximates: if x > 0 then state_a else state_b
Information
This function is used to approximate the equation
state = if x > 0 then state_a else state_b;
by a smooth characteristic, so that the expression is continuous and differentiable:
state := smooth(1, if x > x_small then state_a else
if x < -x_small then state_b else f(state_a, state_b));
This is performed by applying function Media.Common.smoothStep(..)
on every element of the thermodynamic state record.
If mass fractions X[:] are approximated with this function then this can be performed
for all nX 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):
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);
or
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
Summing all mass fractions together results in
sum(X) = c*(sum(X_a) - sum(X_b)) + (sum(X_a) + sum(X_b))/2
= c*(1 - 1) + (1 + 1)/2
= 1
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
| Type | Name | Default | Description |
|---|
| Real | x | | m_flow or dp |
| ThermodynamicState | state_a | | Thermodynamic state if x > 0 |
| ThermodynamicState | state_b | | Thermodynamic state if x < 0 |
| Real | x_small | | Smooth transition in the region -x_small < x < x_small |
Outputs
| Type | Name | Description |
|---|
| ThermodynamicState | state | Smooth thermodynamic state for all x (continuous and differentiable) |
Modelica definition
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)";
end setSmoothState;
Return dynamic viscosity
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
replaceable partial function dynamicViscosity
"Return dynamic viscosity"
extends Modelica.Icons.Function;
input ThermodynamicState state "thermodynamic state record";
output DynamicViscosity eta "Dynamic viscosity";
end dynamicViscosity;
Return thermal conductivity
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
replaceable partial function thermalConductivity
"Return thermal conductivity"
extends Modelica.Icons.Function;
input ThermodynamicState state "thermodynamic state record";
output ThermalConductivity lambda "Thermal conductivity";
end thermalConductivity;
Return the Prandtl number
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
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;
Return pressure
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
replaceable partial function pressure "Return pressure"
extends Modelica.Icons.Function;
input ThermodynamicState state "thermodynamic state record";
output AbsolutePressure p "Pressure";
end pressure;
Return temperature
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
replaceable partial function temperature "Return temperature"
extends Modelica.Icons.Function;
input ThermodynamicState state "thermodynamic state record";
output Temperature T "Temperature";
end temperature;
Return density
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
| Type | Name | Description |
|---|
| Density | d | Density [kg/m3] |
Modelica definition
replaceable partial function density "Return density"
extends Modelica.Icons.Function;
input ThermodynamicState state "thermodynamic state record";
output Density d "Density";
end density;
Return specific enthalpy
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
replaceable partial function specificEnthalpy
"Return specific enthalpy"
extends Modelica.Icons.Function;
input ThermodynamicState state "thermodynamic state record";
output SpecificEnthalpy h "Specific enthalpy";
end specificEnthalpy;
Return specific internal energy
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
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;
Return specific entropy
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
replaceable partial function specificEntropy
"Return specific entropy"
extends Modelica.Icons.Function;
input ThermodynamicState state "thermodynamic state record";
output SpecificEntropy s "Specific entropy";
end specificEntropy;
Return specific Gibbs energy
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
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;
Return specific Helmholtz energy
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
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;
Return specific heat capacity at constant pressure
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
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;
alias for deprecated name
Inputs
Outputs
Modelica definition
function heatCapacity_cp = specificHeatCapacityCp "alias for deprecated name";
Return specific heat capacity at constant volume
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
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;
alias for deprecated name
Inputs
Outputs
Modelica definition
function heatCapacity_cv = specificHeatCapacityCv "alias for deprecated name";
Return isentropic exponent
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
replaceable partial function isentropicExponent
"Return isentropic exponent"
extends Modelica.Icons.Function;
input ThermodynamicState state "thermodynamic state record";
output IsentropicExponent gamma "Isentropic exponent";
end isentropicExponent;
Return isentropic enthalpy
Information
This function computes an isentropic state transformation:
- A medium is in a particular state, refState.
- The enhalpy at another state (h_is) shall be computed
under the assumption that the state transformation from refState to h_is
is performed with a change of specific entropy ds = 0 and the pressure of state h_is
is p_downstream and the composition X upstream and downstream is assumed to be the same.
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
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;
Return velocity of sound
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
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;
Return overall the isobaric expansion coefficient beta
Information
beta is defined as 1/v * der(v,T), with v = 1/d, at constant pressure p.
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
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;
alias for isobaricExpansionCoefficient for user convenience
Inputs
Outputs
Modelica definition
function beta = isobaricExpansionCoefficient
"alias for isobaricExpansionCoefficient for user convenience";
Return overall the isothermal compressibility factor
Information
kappa is defined as - 1/v * der(v,p), with v = 1/d at constant temperature T.
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
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;
alias of isothermalCompressibility for user convenience
Inputs
Outputs
Modelica definition
function kappa = isothermalCompressibility
"alias of isothermalCompressibility for user convenience";
Return density derivative w.r.t. pressure at const specific enthalpy
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
replaceable partial function density_derp_h
"Return density derivative w.r.t. pressure at const 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;
Return density derivative w.r.t. specific enthalpy at constant pressure
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
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;
Return density derivative w.r.t. pressure at const temperature
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
replaceable partial function density_derp_T
"Return density derivative w.r.t. pressure at const temperature"
extends Modelica.Icons.Function;
input ThermodynamicState state "thermodynamic state record";
output DerDensityByPressure ddpT "Density derivative w.r.t. pressure";
end density_derp_T;
Return density derivative w.r.t. temperature at constant pressure
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
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;
Return density derivative w.r.t. mass fraction
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
| Type | Name | Description |
|---|
| Density | dddX[nX] | Derivative of density w.r.t. mass fraction [kg/m3] |
Modelica definition
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;
Return the molar mass of the medium
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
| Type | Name | Description |
|---|
| MolarMass | MM | Mixture molar mass [kg/mol] |
Modelica definition
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;
Return specific enthalpy from p, T, and X or Xi
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
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;
Return specific enthalpy from p, T, and X or Xi
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
replaceable function specificEntropy_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 SpecificEntropy s "Specific entropy";
algorithm
s := specificEntropy(setState_pTX(p,T,X));
end specificEntropy_pTX;
Return density from p, T, and X or Xi
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
| Type | Name | Description |
|---|
| Density | d | Density [kg/m3] |
Modelica definition
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;
Return temperature from p, h, and X or Xi
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
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;
Return density from p, h, and X or Xi
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
| Type | Name | Description |
|---|
| Density | d | Density [kg/m3] |
Modelica definition
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;
Return temperature from p,s, and X or Xi
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
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;
Return density from p, s, and X or Xi
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
| Type | Name | Description |
|---|
| Density | d | Density [kg/m3] |
Modelica definition
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;
Return specific enthalpy from p, s, and X or Xi
Information
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Outputs
Modelica definition
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;
Pressure as input signal connector
Modelica definition
connector InputAbsolutePressure = input SI.AbsolutePressure
"Pressure as input signal connector";
Mass fraction as input signal connector
Modelica definition
connector InputMassFraction = input SI.MassFraction
"Mass fraction as input signal connector";
Specific enthalpy as input signal connector
Modelica definition
connector InputSpecificEnthalpy = input SI.SpecificEnthalpy
"Specific enthalpy as input signal connector";
Automatically generated Fri Nov 12 16:31:29 2010.
Modelica.Media.Interfaces.PartialMedium.FluidConstants
Modelica.Media.Interfaces.PartialMedium.BaseProperties
Modelica.Media.Interfaces.PartialMedium.setState_pTX