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WOLFRAM SYSTEM MODELER

Common

Data structures and fundamental functions for fluid properties

Package Contents

	Rate (s⁻¹)
	MolarFlowRate (mol/s)
	MolarReactionRate (mol/(m³⋅s))
	MolarEnthalpy (J/mol)
	DerDensityByEntropy (kg²⋅K/(m³⋅J))
	DerEnergyByPressure (J/Pa)
	DerEnergyByMoles (J/mol)
	DerEntropyByTemperature (J/K²)
	DerEntropyByPressure (J/(K⋅Pa))
	DerEntropyByMoles (J/(mol⋅K))
	DerPressureByDensity (Pa⋅m³/kg)
	DerPressureBySpecificVolume (Pa⋅kg/m³)
	DerPressureByTemperature (Pa/K)
	DerVolumeByTemperature (m³/K)
	DerVolumeByPressure (m³/Pa)
	DerVolumeByMoles (m³/mol)
	IsenthalpicExponent
	IsentropicExponent
	IsobaricVolumeExpansionCoefficient (1/K)
	IsochoricPressureCoefficient (1/K)
	IsothermalCompressibility (1/Pa)
	JouleThomsonCoefficient (K/Pa)
	ThermoFluidSpecial Property records used by the ThermoFluid library
	SaturationProperties Properties in the two phase region
	SaturationBoundaryProperties Properties on both phase boundaries, including some derivatives
	IF97BaseTwoPhase Intermediate property data record for IF 97
	IF97PhaseBoundaryProperties Thermodynamic base properties on the phase boundary for IF97 steam tables
	GibbsDerivs Derivatives of dimensionless Gibbs-function w.r.t. dimensionless pressure and temperature
	HelmholtzDerivs Derivatives of dimensionless Helmholtz-function w.r.t. dimensionless pressure, density and temperature
	TwoPhaseTransportProps Defines properties on both phase boundaries, needed in the two phase region
	PhaseBoundaryProperties Thermodynamic base properties on the phase boundary
	NewtonDerivatives_ph Derivatives for fast inverse calculations of Helmholtz functions: p & h
	NewtonDerivatives_ps Derivatives for fast inverse calculation of Helmholtz functions: p & s
	NewtonDerivatives_pT Derivatives for fast inverse calculations of Helmholtz functions:p & T
	ExtraDerivatives Additional thermodynamic derivatives
	BridgmansTables Calculates all entries in Bridgmans tables if first seven variables given
	FundamentalConstants Constants of the medium
	AuxiliaryProperties Intermediate property data record
	GibbsDerivs2 Derivatives of Gibbs function w.r.t. pressure and temperature
	NewtonDerivatives_dT Derivatives for fast inverse calculations of Gibbs function
	gibbsToBridgmansTables Calculates base coefficients for Bridgman's tables from gibbs enthalpy
	helmholtzToBridgmansTables Calculates base coefficients for Bridgmans tables from Helmholtz energy
	gibbsToBoundaryProps Calculate phase boundary property record from dimensionless Gibbs function
	helmholtzToBoundaryProps Calculate phase boundary property record from dimensionless Helmholtz function
	cv2Phase Compute isochoric specific heat capacity inside the two-phase region
	cvdpT2Phase Compute isochoric specific heat capacity inside the two-phase region and derivative of pressure w.r.t. temperature
	gibbsToExtraDerivs Compute additional thermodynamic derivatives from dimensionless Gibbs function
	helmholtzToExtraDerivs Compute additional thermodynamic derivatives from dimensionless Helmholtz function
	Helmholtz_ph Function to calculate analytic derivatives for computing d and t given p and h
	Helmholtz_pT Function to calculate analytic derivatives for computing d and t given p and t
	Helmholtz_ps Function to calculate analytic derivatives for computing d and t given p and s
	smoothStep Approximation of a general step, such that the characteristic is continuous and differentiable
	Gibbs2_ph Function to calculate analytic derivatives for computing T given p and h
	Gibbs2_dT Function to calculate analytic derivatives for computing p given d and T
	Gibbs2_ps Function to calculate analytic derivatives for computing d and t given p and s

Package Constants (76)

MINPOS	Value: 1.0e-9 Type: Real Description: Minimal value for physical variables which are always > 0.0
AMIN	Value: MINPOS Type: Area (m²) Description: Minimal init area
AMAX	Value: 1.0e5 Type: Area (m²) Description: Maximal init area
ANOM	Value: 1.0 Type: Area (m²) Description: Nominal init area
MOLMIN	Value: -1.0 * MINPOS Type: AmountOfSubstance (mol) Description: Minimal Mole Number
MOLMAX	Value: 1.0e8 Type: AmountOfSubstance (mol) Description: Maximal Mole Number
MOLNOM	Value: 1.0 Type: AmountOfSubstance (mol) Description: Nominal Mole Number
DMIN	Value: 1e-6 Type: Density (kg/m³) Description: Minimal init density
DMAX	Value: 30.0e3 Type: Density (kg/m³) Description: Maximal init density
DNOM	Value: 1.0 Type: Density (kg/m³) Description: Nominal init density
LAMMIN	Value: MINPOS Type: ThermalConductivity (W/(m⋅K)) Description: Minimal thermal conductivity
LAMNOM	Value: 1.0 Type: ThermalConductivity (W/(m⋅K)) Description: Nominal thermal conductivity
LAMMAX	Value: 1000.0 Type: ThermalConductivity (W/(m⋅K)) Description: Maximal thermal conductivity
ETAMIN	Value: MINPOS Type: DynamicViscosity (Pa⋅s) Description: Minimal init dynamic viscosity
ETAMAX	Value: 1.0e8 Type: DynamicViscosity (Pa⋅s) Description: Maximal init dynamic viscosity
ETANOM	Value: 100.0 Type: DynamicViscosity (Pa⋅s) Description: Nominal init dynamic viscosity
EMIN	Value: -1.0e10 Type: Energy (J) Description: Minimal init energy
EMAX	Value: 1.0e10 Type: Energy (J) Description: Maximal init energy
ENOM	Value: 1.0e3 Type: Energy (J) Description: Nominal init energy
SMIN	Value: -1.0e6 Type: Entropy (J/K) Description: Minimal init entropy
SMAX	Value: 1.0e6 Type: Entropy (J/K) Description: Maximal init entropy
SNOM	Value: 1.0e3 Type: Entropy (J/K) Description: Nominal init entropy
MDOTMIN	Value: -1.0e5 Type: MassFlowRate (kg/s) Description: Minimal init mass flow rate
MDOTMAX	Value: 1.0e5 Type: MassFlowRate (kg/s) Description: Maximal init mass flow rate
MDOTNOM	Value: 1.0 Type: MassFlowRate (kg/s) Description: Nominal init mass flow rate
MASSXMIN	Value: -1.0 * MINPOS Type: MassFraction Description: Minimal init mass fraction
MASSXMAX	Value: 1.0 Type: MassFraction Description: Maximal init mass fraction
MASSXNOM	Value: 0.1 Type: MassFraction Description: Nominal init mass fraction
MMIN	Value: -1.0 * MINPOS Type: Mass (kg) Description: Minimal init mass
MMAX	Value: 1.0e8 Type: Mass (kg) Description: Maximal init mass
MNOM	Value: 1.0 Type: Mass (kg) Description: Nominal init mass
MMMIN	Value: 0.001 Type: MolarMass (kg/mol) Description: Minimal initial molar mass
MMMAX	Value: 250.0 Type: MolarMass (kg/mol) Description: Maximal initial molar mass
MMNOM	Value: 0.2 Type: MolarMass (kg/mol) Description: Nominal initial molar mass
MOLEYMIN	Value: -1.0 * MINPOS Type: MoleFraction Description: Minimal init mole fraction
MOLEYMAX	Value: 1.0 Type: MoleFraction Description: Maximal init mole fraction
MOLEYNOM	Value: 0.1 Type: MoleFraction Description: Nominal init mole fraction
GMIN	Value: -1.0e8 Type: MomentumFlux (N) Description: Minimal init momentum flux
GMAX	Value: 1.0e8 Type: MomentumFlux (N) Description: Maximal init momentum flux
GNOM	Value: 1.0 Type: MomentumFlux (N) Description: Nominal init momentum flux
POWMIN	Value: -1.0e8 Type: Power (W) Description: Minimal init power or heat
POWMAX	Value: 1.0e8 Type: Power (W) Description: Maximal init power or heat
POWNOM	Value: 1.0e3 Type: Power (W) Description: Nominal init power or heat
PMIN	Value: 1.0e4 Type: Pressure (Pa) Description: Minimal init pressure
PMAX	Value: 1.0e8 Type: Pressure (Pa) Description: Maximal init pressure
PNOM	Value: 1.0e5 Type: Pressure (Pa) Description: Nominal init pressure
COMPPMIN	Value: -1.0 * MINPOS Type: Pressure (Pa) Description: Minimal init pressure
COMPPMAX	Value: 1.0e8 Type: Pressure (Pa) Description: Maximal init pressure
COMPPNOM	Value: 1.0e5 Type: Pressure (Pa) Description: Nominal init pressure
KAPPAMIN	Value: 1.0 Type: RatioOfSpecificHeatCapacities Description: Minimal init isentropic exponent
KAPPAMAX	Value: 1.7 Type: RatioOfSpecificHeatCapacities Description: Maximal init isentropic exponent
KAPPANOM	Value: 1.2 Type: RatioOfSpecificHeatCapacities Description: Nominal init isentropic exponent
SEMIN	Value: -1.0e8 Type: SpecificEnergy (J/kg) Description: Minimal init specific energy
SEMAX	Value: 1.0e8 Type: SpecificEnergy (J/kg) Description: Maximal init specific energy
SENOM	Value: 1.0e6 Type: SpecificEnergy (J/kg) Description: Nominal init specific energy
SHMIN	Value: -1.0e8 Type: SpecificEnthalpy (J/kg) Description: Minimal init specific enthalpy
SHMAX	Value: 1.0e8 Type: SpecificEnthalpy (J/kg) Description: Maximal init specific enthalpy
SHNOM	Value: 1.0e6 Type: SpecificEnthalpy (J/kg) Description: Nominal init specific enthalpy
SSMIN	Value: -1.0e6 Type: SpecificEntropy (J/(kg⋅K)) Description: Minimal init specific entropy
SSMAX	Value: 1.0e6 Type: SpecificEntropy (J/(kg⋅K)) Description: Maximal init specific entropy
SSNOM	Value: 1.0e3 Type: SpecificEntropy (J/(kg⋅K)) Description: Nominal init specific entropy
CPMIN	Value: MINPOS Type: SpecificHeatCapacity (J/(kg⋅K)) Description: Minimal init specific heat capacity
CPMAX	Value: 1.0e6 Type: SpecificHeatCapacity (J/(kg⋅K)) Description: Maximal init specific heat capacity
CPNOM	Value: 1.0e3 Type: SpecificHeatCapacity (J/(kg⋅K)) Description: Nominal init specific heat capacity
TMIN	Value: 1.0 Type: Temperature (K) Description: Minimal init temperature
TMAX	Value: 6000.0 Type: Temperature (K) Description: Maximal init temperature
TNOM	Value: 320.0 Type: Temperature (K) Description: Nominal init temperature
LMIN	Value: MINPOS Type: ThermalConductivity (W/(m⋅K)) Description: Minimal init thermal conductivity
LMAX	Value: 500.0 Type: ThermalConductivity (W/(m⋅K)) Description: Maximal init thermal conductivity
LNOM	Value: 1.0 Type: ThermalConductivity (W/(m⋅K)) Description: Nominal init thermal conductivity
VELMIN	Value: -1.0e5 Type: Velocity (m/s) Description: Minimal init speed
VELMAX	Value: 1.0e5 Type: Velocity (m/s) Description: Maximal init speed
VELNOM	Value: 1.0 Type: Velocity (m/s) Description: Nominal init speed
VMIN	Value: 0.0 Type: Volume (m³) Description: Minimal init volume
VMAX	Value: 1.0e5 Type: Volume (m³) Description: Maximal init volume
VNOM	Value: 1.0e-3 Type: Volume (m³) Description: Nominal init volume

Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

Package description

Package Modelica.Media.Common provides records and functions shared by many of the property sub-packages. High accuracy fluid property models share a lot of common structure, even if the actual models are different. Common data structures and computations shared by these property models are collected in this library.

Wolfram Language

In[1]:=

SystemModel["Modelica.Media.Common"]

Out[1]:=

Revisions

First implemented: July, 2000 by Hubertus Tummescheit for the ThermoFluid Library with help from Jonas Eborn and Falko Jens Wagner
Code reorganization, enhanced documentation, additional functions: December, 2002 by Hubertus Tummescheit and move to Modelica properties library.
Inclusion into Modelica.Media: September 2003

Author: Hubertus Tummescheit,
Lund University
Department of Automatic Control
Box 118, 22100 Lund, Sweden
email: hubertus@control.lth.se