Modelica.Media.Interfaces.PartialMedium.FluidConstants

Information

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;

Modelica.Media.Interfaces.PartialMedium.prandtlNumber

Information

Inputs

Type	Name	Default	Description
ThermodynamicState	state		thermodynamic state record

Outputs

Type	Name	Description
PrandtlNumber	Pr	Prandtl number [1]

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;

Modelica.Media.Interfaces.PartialMedium.specificEntropy

Information

Inputs

Type	Name	Default	Description
ThermodynamicState	state		thermodynamic state record

Outputs

Type	Name	Description
SpecificEntropy	s	Specific entropy [J/(kg.K)]

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;

Modelica.Media.Interfaces.PartialMedium.specificGibbsEnergy

Information

Inputs

Type	Name	Default	Description
ThermodynamicState	state		thermodynamic state record

Outputs

Type	Name	Description
SpecificEnergy	g	Specific Gibbs energy [J/kg]

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;

Modelica.Media.Interfaces.PartialMedium.specificHelmholtzEnergy

Information

Inputs

Type	Name	Default	Description
ThermodynamicState	state		thermodynamic state record

Outputs

Type	Name	Description
SpecificEnergy	f	Specific Helmholtz energy [J/kg]

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;

Modelica.Media.Interfaces.PartialMedium.heatCapacity_cp

Inputs

Type	Name	Default	Description
ThermodynamicState	state		thermodynamic state record

Outputs

Type	Name	Description
SpecificHeatCapacity	cp	Specific heat capacity at constant pressure [J/(kg.K)]

Modelica definition

function heatCapacity_cp = specificHeatCapacityCp "alias for deprecated name";

Modelica.Media.Interfaces.PartialMedium.heatCapacity_cv

Inputs

Type	Name	Default	Description
ThermodynamicState	state		thermodynamic state record

Outputs

Type	Name	Description
SpecificHeatCapacity	cv	Specific heat capacity at constant volume [J/(kg.K)]

Modelica definition

function heatCapacity_cv = specificHeatCapacityCv "alias for deprecated name";

Modelica.Media.Interfaces.PartialMedium.isentropicEnthalpy

Information

This function computes an isentropic state transformation:

1. A medium is in a particular state, refState.
2. 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.

Inputs

Type	Name	Default	Description
AbsolutePressure	p_downstream		downstream pressure [Pa]
ThermodynamicState	refState		reference state for entropy

Outputs

Type	Name	Description
SpecificEnthalpy	h_is	Isentropic enthalpy [J/kg]

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;

Modelica.Media.Interfaces.PartialMedium.isobaricExpansionCoefficient

Information

beta is defined as  1/v * der(v,T), with v = 1/d, at constant pressure p.

Inputs

Type	Name	Default	Description
ThermodynamicState	state		thermodynamic state record

Outputs

Type	Name	Description
IsobaricExpansionCoefficient	beta	Isobaric expansion coefficient [1/K]

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;

Modelica.Media.Interfaces.PartialMedium.beta

Inputs

Type	Name	Default	Description
ThermodynamicState	state		thermodynamic state record

Outputs

Type	Name	Description
IsobaricExpansionCoefficient	beta	Isobaric expansion coefficient [1/K]

Modelica definition

function beta = isobaricExpansionCoefficient 
  "alias for isobaricExpansionCoefficient for user convenience";

Modelica.Media.Interfaces.PartialMedium.isothermalCompressibility

Information

kappa is defined as - 1/v * der(v,p), with v = 1/d at constant temperature T.

Inputs

Type	Name	Default	Description
ThermodynamicState	state		thermodynamic state record

Outputs

Type	Name	Description
IsothermalCompressibility	kappa	Isothermal compressibility [1/Pa]

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;

Modelica.Media.Interfaces.PartialMedium.kappa

Inputs

Type	Name	Default	Description
ThermodynamicState	state		thermodynamic state record

Outputs

Type	Name	Description
IsothermalCompressibility	kappa	Isothermal compressibility [1/Pa]

Modelica definition

function kappa = isothermalCompressibility 
  "alias of isothermalCompressibility for user convenience";

Modelica.Media.Interfaces.PartialMedium.density_derp_h

Information

Inputs

Type	Name	Default	Description
ThermodynamicState	state		thermodynamic state record

Outputs

Type	Name	Description
DerDensityByPressure	ddph	Density derivative w.r.t. pressure [s2/m2]

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;

Modelica.Media.Interfaces.PartialMedium.density_derh_p

Information

Inputs

Type	Name	Default	Description
ThermodynamicState	state		thermodynamic state record

Outputs

Type	Name	Description
DerDensityByEnthalpy	ddhp	Density derivative w.r.t. specific enthalpy [kg.s2/m5]

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;

Modelica.Media.Interfaces.PartialMedium.density_derp_T

Information

Inputs

Type	Name	Default	Description
ThermodynamicState	state		thermodynamic state record

Outputs

Type	Name	Description
DerDensityByPressure	ddpT	Density derivative w.r.t. pressure [s2/m2]

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;

Modelica.Media.Interfaces.PartialMedium.density_derT_p

Information

Inputs

Type	Name	Default	Description
ThermodynamicState	state		thermodynamic state record

Outputs

Type	Name	Description
DerDensityByTemperature	ddTp	Density derivative w.r.t. temperature [kg/(m3.K)]

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;

Modelica.Media.Interfaces.PartialMedium.density_derX

Information

Inputs

Type	Name	Default	Description
ThermodynamicState	state		thermodynamic state record

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;

Modelica.Media.Interfaces.PartialMedium.molarMass

Information

Inputs

Type	Name	Default	Description
ThermodynamicState	state		thermodynamic state record

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;

Modelica.Media.Interfaces.PartialMedium.specificEntropy_pTX

Information

Inputs

Type	Name	Default	Description
AbsolutePressure	p		Pressure [Pa]
Temperature	T		Temperature [K]
MassFraction	X[:]	reference_X	Mass fractions [kg/kg]

Outputs

Type	Name	Description
SpecificEntropy	s	Specific entropy [J/(kg.K)]

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;

Modelica.Media.Interfaces.PartialMedium.density_pTX

Information

Inputs

Type	Name	Default	Description
AbsolutePressure	p		Pressure [Pa]
Temperature	T		Temperature [K]
MassFraction	X[:]		Mass fractions [kg/kg]

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;

Modelica.Media.Interfaces.PartialMedium.temperature_psX

Information

Inputs

Type	Name	Default	Description
AbsolutePressure	p		Pressure [Pa]
SpecificEntropy	s		Specific entropy [J/(kg.K)]
MassFraction	X[:]	reference_X	Mass fractions [kg/kg]

Outputs

Type	Name	Description
Temperature	T	Temperature [K]

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;

Modelica.Media.Interfaces.PartialMedium.density_psX

Information

Inputs

Type	Name	Default	Description
AbsolutePressure	p		Pressure [Pa]
SpecificEntropy	s		Specific entropy [J/(kg.K)]
MassFraction	X[:]	reference_X	Mass fractions [kg/kg]

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;

Modelica.Media.Interfaces.PartialMedium.specificEnthalpy_psX

Information

Inputs

Type	Name	Default	Description
AbsolutePressure	p		Pressure [Pa]
SpecificEntropy	s		Specific entropy [J/(kg.K)]
MassFraction	X[:]	reference_X	Mass fractions [kg/kg]

Outputs

Type	Name	Description
SpecificEnthalpy	h	Specific enthalpy [J/kg]

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;

Modelica.Media.Interfaces.PartialMedium.setState_psX

Information

Inputs

Type	Name	Default	Description
AbsolutePressure	p		Pressure [Pa]
SpecificEntropy	s		Specific entropy [J/(kg.K)]
MassFraction	X[:]	reference_X	Mass fractions [kg/kg]

Outputs

Type	Name	Description
ThermodynamicState	state	thermodynamic state record

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;

Modelica.Media.Interfaces.PartialMedium.setSmoothState

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

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;

Modelica.Media.Interfaces.PartialMedium.isentropicExponent

Information

Inputs

Type	Name	Default	Description
ThermodynamicState	state		thermodynamic state record

Outputs

Type	Name	Description
IsentropicExponent	gamma	Isentropic exponent [1]

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;

Modelica.Media.Interfaces.PartialMedium.velocityOfSound

Information

Inputs

Type	Name	Default	Description
ThermodynamicState	state		thermodynamic state record

Outputs

Type	Name	Description
VelocityOfSound	a	Velocity of sound [m/s]

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;

Modelica.Media.Interfaces.PartialMedium.specificEnthalpy_pTX

Information

Inputs

Type	Name	Default	Description
AbsolutePressure	p		Pressure [Pa]
Temperature	T		Temperature [K]
MassFraction	X[:]	reference_X	Mass fractions [kg/kg]

Outputs

Type	Name	Description
SpecificEnthalpy	h	Specific enthalpy [J/kg]

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;

Modelica.Media.Interfaces.PartialMedium.temperature_phX

Information

Inputs

Type	Name	Default	Description
AbsolutePressure	p		Pressure [Pa]
SpecificEnthalpy	h		Specific enthalpy [J/kg]
MassFraction	X[:]	reference_X	Mass fractions [kg/kg]

Outputs

Type	Name	Description
Temperature	T	Temperature [K]

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;

Modelica.Media.Interfaces.PartialMedium.density_phX

Information

Inputs

Type	Name	Default	Description
AbsolutePressure	p		Pressure [Pa]
SpecificEnthalpy	h		Specific enthalpy [J/kg]
MassFraction	X[:]	reference_X	Mass fractions [kg/kg]

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;

Modelica.Media.Interfaces.PartialMedium.specificInternalEnergy

Information

Inputs

Type	Name	Default	Description
ThermodynamicState	state		thermodynamic state record

Outputs

Type	Name	Description
SpecificEnergy	u	Specific internal energy [J/kg]

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;