Package Modelica.Media.Common
Data structures and fundamental functions for fluid properties

Information

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.

Extends from Modelica.Icons.Package (Icon for standard packages).

Package Contents

Name	Description
`AuxiliaryProperties`	Intermediate property data record
`BridgmansTables`	Calculates all entries in Bridgmans tables if first seven variables given
`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
`DerDensityByEntropy`
`DerEnergyByMoles`
`DerEnergyByPressure`
`DerEntropyByMoles`
`DerEntropyByPressure`
`DerEntropyByTemperature`
`DerPressureByDensity`
`DerPressureBySpecificVolume`
`DerPressureByTemperature`
`DerVolumeByMoles`
`DerVolumeByPressure`
`DerVolumeByTemperature`
`ExtraDerivatives`	Additional thermodynamic derivatives
`FundamentalConstants`	Constants of the medium
`Gibbs2_dT`	Function to calculate analytic derivatives for computing p given d and T
`Gibbs2_ph`	Function to calculate analytic derivatives for computing T given p and h
`Gibbs2_ps`	Function to calculate analytic derivatives for computing d and t given p and s
`GibbsDerivs`	Derivatives of dimensionless Gibbs-function w.r.t. dimensionless pressure and temperature
`GibbsDerivs2`	Derivatives of Gibbs function w.r.t. pressure and temperature
`gibbsToBoundaryProps`	Calculate phase boundary property record from dimensionless Gibbs function
`gibbsToBridgmansTables`	Calculates base coefficients for Bridgman's tables from gibbs enthalpy
`gibbsToExtraDerivs`	Compute additional thermodynamic derivatives from dimensionless Gibbs function
`Helmholtz_ph`	Function to calculate analytic derivatives for computing d and t given p and h
`Helmholtz_ps`	Function to calculate analytic derivatives for computing d and t given p and s
`Helmholtz_pT`	Function to calculate analytic derivatives for computing d and t given p and t
`HelmholtzDerivs`	Derivatives of dimensionless Helmholtz-function w.r.t. dimensionless pressure, density and temperature
`helmholtzToBoundaryProps`	Calculate phase boundary property record from dimensionless Helmholtz function
`helmholtzToBridgmansTables`	Calculates base coefficients for Bridgmans tables from Helmholtz energy
`helmholtzToExtraDerivs`	Compute additional thermodynamic derivatives from dimensionless Helmholtz function
`IF97BaseTwoPhase`	Intermediate property data record for IF 97
`IF97PhaseBoundaryProperties`	Thermodynamic base properties on the phase boundary for IF97 steam tables
`IsenthalpicExponent`
`IsentropicExponent`
`IsobaricVolumeExpansionCoefficient`
`IsochoricPressureCoefficient`
`IsothermalCompressibility`
`JouleThomsonCoefficient`
`MolarEnthalpy`
`MolarFlowRate`
`MolarReactionRate`
`NewtonDerivatives_dT`	Derivatives for fast inverse calculations of Gibbs function
`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
`OneNonLinearEquation` …	Determine solution of a non-linear algebraic equation in one unknown without derivatives in a reliable and efficient way
`PhaseBoundaryProperties`	Thermodynamic base properties on the phase boundary
`Rate`
`SaturationBoundaryProperties`	Properties on both phase boundaries, including some derivatives
`SaturationProperties`	Properties in the two phase region
`smoothStep`	Approximation of a general step, such that the characteristic is continuous and differentiable
`ThermoFluidSpecial` …	Property records used by the ThermoFluid library
`TwoPhaseTransportProps`	Defines properties on both phase boundaries, needed in the two phase region

Package Constants

Type	Name	Value	Description
`Area`	`AMAX`	`100000`	Maximal init area
`Area`	`AMIN`	`MINPOS`	Minimal init area
`Area`	`ANOM`	`1`	Nominal init area
`Pressure`	`COMPPMAX`	`1e+8`	Maximal init pressure
`Pressure`	`COMPPMIN`	`-1 * MINPOS`	Minimal init pressure
`Pressure`	`COMPPNOM`	`100000`	Nominal init pressure
`SpecificHeatCapacity`	`CPMAX`	`1000000`	Maximal init specific heat capacity
`SpecificHeatCapacity`	`CPMIN`	`MINPOS`	Minimal init specific heat capacity
`SpecificHeatCapacity`	`CPNOM`	`1000`	Nominal init specific heat capacity
`Density`	`DMAX`	`30000`	Maximal init density
`Density`	`DMIN`	`1e-6`	Minimal init density
`Density`	`DNOM`	`1`	Nominal init density
`Energy`	`EMAX`	`1e+10`	Maximal init energy
`Energy`	`EMIN`	`-1e+10`	Minimal init energy
`Energy`	`ENOM`	`1000`	Nominal init energy
`DynamicViscosity`	`ETAMAX`	`1e+8`	Maximal init dynamic viscosity
`DynamicViscosity`	`ETAMIN`	`MINPOS`	Minimal init dynamic viscosity
`DynamicViscosity`	`ETANOM`	`100`	Nominal init dynamic viscosity
`MomentumFlux`	`GMAX`	`1e+8`	Maximal init momentum flux
`MomentumFlux`	`GMIN`	`-1e+8`	Minimal init momentum flux
`MomentumFlux`	`GNOM`	`1`	Nominal init momentum flux
`RatioOfSpecificHeatCapacities`	`KAPPAMAX`	`1.7`	Maximal init isentropic exponent
`RatioOfSpecificHeatCapacities`	`KAPPAMIN`	`1`	Minimal init isentropic exponent
`RatioOfSpecificHeatCapacities`	`KAPPANOM`	`1.2`	Nominal init isentropic exponent
`ThermalConductivity`	`LAMMAX`	`1000`	Maximal thermal conductivity
`ThermalConductivity`	`LAMMIN`	`MINPOS`	Minimal thermal conductivity
`ThermalConductivity`	`LAMNOM`	`1`	Nominal thermal conductivity
`ThermalConductivity`	`LMAX`	`500`	Maximal init thermal conductivity
`ThermalConductivity`	`LMIN`	`MINPOS`	Minimal init thermal conductivity
`ThermalConductivity`	`LNOM`	`1`	Nominal init thermal conductivity
`MassFraction`	`MASSXMAX`	`1`	Maximal init mass fraction
`MassFraction`	`MASSXMIN`	`-1 * MINPOS`	Minimal init mass fraction
`MassFraction`	`MASSXNOM`	`0.1`	Nominal init mass fraction
`MassFlowRate`	`MDOTMAX`	`100000`	Maximal init mass flow rate
`MassFlowRate`	`MDOTMIN`	`-100000`	Minimal init mass flow rate
`MassFlowRate`	`MDOTNOM`	`1`	Nominal init mass flow rate
`Real`	`MINPOS`	`1e-9`	Minimal value for physical variables which are always > 0.0
`Mass`	`MMAX`	`1e+8`	Maximal init mass
`Mass`	`MMIN`	`-1 * MINPOS`	Minimal init mass
`MolarMass`	`MMMAX`	`250`	Maximal initial molar mass
`MolarMass`	`MMMIN`	`0.001`	Minimal initial molar mass
`MolarMass`	`MMNOM`	`0.2`	Nominal initial molar mass
`Mass`	`MNOM`	`1`	Nominal init mass
`MoleFraction`	`MOLEYMAX`	`1`	Maximal init mole fraction
`MoleFraction`	`MOLEYMIN`	`-1 * MINPOS`	Minimal init mole fraction
`MoleFraction`	`MOLEYNOM`	`0.1`	Nominal init mole fraction
`AmountOfSubstance`	`MOLMAX`	`1e+8`	Maximal Mole Number
`AmountOfSubstance`	`MOLMIN`	`-1 * MINPOS`	Minimal Mole Number
`AmountOfSubstance`	`MOLNOM`	`1`	Nominal Mole Number
`Pressure`	`PMAX`	`1e+8`	Maximal init pressure
`Pressure`	`PMIN`	`10000`	Minimal init pressure
`Pressure`	`PNOM`	`100000`	Nominal init pressure
`Power`	`POWMAX`	`1e+8`	Maximal init power or heat
`Power`	`POWMIN`	`-1e+8`	Minimal init power or heat
`Power`	`POWNOM`	`1000`	Nominal init power or heat
`SpecificEnergy`	`SEMAX`	`1e+8`	Maximal init specific energy
`SpecificEnergy`	`SEMIN`	`-1e+8`	Minimal init specific energy
`SpecificEnergy`	`SENOM`	`1000000`	Nominal init specific energy
`SpecificEnthalpy`	`SHMAX`	`1e+8`	Maximal init specific enthalpy
`SpecificEnthalpy`	`SHMIN`	`-1e+8`	Minimal init specific enthalpy
`SpecificEnthalpy`	`SHNOM`	`1000000`	Nominal init specific enthalpy
`Entropy`	`SMAX`	`1000000`	Maximal init entropy
`Entropy`	`SMIN`	`-1000000`	Minimal init entropy
`Entropy`	`SNOM`	`1000`	Nominal init entropy
`SpecificEntropy`	`SSMAX`	`1000000`	Maximal init specific entropy
`SpecificEntropy`	`SSMIN`	`-1000000`	Minimal init specific entropy
`SpecificEntropy`	`SSNOM`	`1000`	Nominal init specific entropy
`Temperature`	`TMAX`	`6000`	Maximal init temperature
`Temperature`	`TMIN`	`1`	Minimal init temperature
`Temperature`	`TNOM`	`320`	Nominal init temperature
`Velocity`	`VELMAX`	`100000`	Maximal init speed
`Velocity`	`VELMIN`	`-100000`	Minimal init speed
`Velocity`	`VELNOM`	`1`	Nominal init speed
`Volume`	`VMAX`	`100000`	Maximal init volume
`Volume`	`VMIN`	`0`	Minimal init volume
`Volume`	`VNOM`	`0.001`	Nominal init volume

Type Modelica.Media.Common.Rate

Extends from Real.

Attributes

Name	Value
`quantity`	`"Rate"`
`unit`	`"s-1"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Type Modelica.Media.Common.MolarFlowRate

Extends from Real.

Attributes

Name	Value
`quantity`	`"MolarFlowRate"`
`unit`	`"mol/s"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Type Modelica.Media.Common.MolarReactionRate

Extends from Real.

Attributes

Name	Value
`quantity`	`"MolarReactionRate"`
`unit`	`"mol/(m3.s)"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Type Modelica.Media.Common.MolarEnthalpy

Extends from Real.

Attributes

Name	Value
`quantity`	`"MolarEnthalpy"`
`unit`	`"J/mol"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Type Modelica.Media.Common.DerDensityByEntropy

Extends from Real.

Attributes

Name	Value
`quantity`	`"DerDensityByEntropy"`
`unit`	`"kg2.K/(m3.J)"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Type Modelica.Media.Common.DerEnergyByPressure

Extends from Real.

Attributes

Name	Value
`quantity`	`"DerEnergyByPressure"`
`unit`	`"J/Pa"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Type Modelica.Media.Common.DerEnergyByMoles

Extends from Real.

Attributes

Name	Value
`quantity`	`"DerEnergyByMoles"`
`unit`	`"J/mol"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Type Modelica.Media.Common.DerEntropyByTemperature

Extends from Real.

Attributes

Name	Value
`quantity`	`"DerEntropyByTemperature"`
`unit`	`"J/K2"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Type Modelica.Media.Common.DerEntropyByPressure

Extends from Real.

Attributes

Name	Value
`quantity`	`"DerEntropyByPressure"`
`unit`	`"J/(K.Pa)"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Type Modelica.Media.Common.DerEntropyByMoles

Extends from Real.

Attributes

Name	Value
`quantity`	`"DerEntropyByMoles"`
`unit`	`"J/(mol.K)"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Type Modelica.Media.Common.DerPressureByDensity

Extends from Real.

Attributes

Name	Value
`quantity`	`"DerPressureByDensity"`
`unit`	`"Pa.m3/kg"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Type Modelica.Media.Common.DerPressureBySpecificVolume

Extends from Real.

Attributes

Name	Value
`quantity`	`"DerPressureBySpecificVolume"`
`unit`	`"Pa.kg/m3"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Type Modelica.Media.Common.DerPressureByTemperature

Extends from Real.

Attributes

Name	Value
`quantity`	`"DerPressureByTemperature"`
`unit`	`"Pa/K"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Type Modelica.Media.Common.DerVolumeByTemperature

Extends from Real.

Attributes

Name	Value
`quantity`	`"DerVolumeByTemperature"`
`unit`	`"m3/K"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Type Modelica.Media.Common.DerVolumeByPressure

Extends from Real.

Attributes

Name	Value
`quantity`	`"DerVolumeByPressure"`
`unit`	`"m3/Pa"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Type Modelica.Media.Common.DerVolumeByMoles

Extends from Real.

Attributes

Name	Value
`quantity`	`"DerVolumeByMoles"`
`unit`	`"m3/mol"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Type Modelica.Media.Common.IsenthalpicExponent

Extends from Real.

Attributes

Name	Value
`quantity`	`"IsenthalpicExponent"`
`unit`	`"1"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Type Modelica.Media.Common.IsentropicExponent

Extends from Real.

Attributes

Name	Value
`quantity`	`"IsentropicExponent"`
`unit`	`"1"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Type Modelica.Media.Common.IsobaricVolumeExpansionCoefficient

Extends from Real.

Attributes

Name	Value
`quantity`	`"IsobaricVolumeExpansionCoefficient"`
`unit`	`"1/K"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Type Modelica.Media.Common.IsochoricPressureCoefficient

Extends from Real.

Attributes

Name	Value
`quantity`	`"IsochoricPressureCoefficient"`
`unit`	`"1/K"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Type Modelica.Media.Common.IsothermalCompressibility

Extends from Real.

Attributes

Name	Value
`quantity`	`"IsothermalCompressibility"`
`unit`	`"1/Pa"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Type Modelica.Media.Common.JouleThomsonCoefficient

Extends from Real.

Attributes

Name	Value
`quantity`	`"JouleThomsonCoefficient"`
`unit`	`"K/Pa"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Record Modelica.Media.Common.SaturationProperties
Properties in the two phase region

Information

This icon is indicates a record.

Extends from Modelica.Icons.Record (Icon for records).

Fields

Type	Name	Description
`Temp_K`	`T`	Temperature
`Density`	`d`	Density
`Pressure`	`p`	Pressure
`SpecificEnergy`	`u`	Specific inner energy
`SpecificEnthalpy`	`h`	Specific enthalpy
`SpecificEntropy`	`s`	Specific entropy
`SpecificHeatCapacity`	`cp`	Heat capacity at constant pressure
`SpecificHeatCapacity`	`cv`	Heat capacity at constant volume
`SpecificHeatCapacity`	`R`	Gas constant
`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`	Derivative of saturation pressure w.r.t. temperature
`MassFraction`	`x`	Vapour mass fraction

Record Modelica.Media.Common.SaturationBoundaryProperties
Properties on both phase boundaries, including some derivatives

Information

This icon is indicates a record.

Extends from Modelica.Icons.Record (Icon for records).

Fields

Type	Name	Description
`Temp_K`	`T`	Saturation temperature
`Density`	`dl`	Liquid density
`Density`	`dv`	Vapour density
`SpecificEnthalpy`	`hl`	Liquid specific enthalpy
`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
`MassFraction`	`x`	Vapour mass fraction

Record Modelica.Media.Common.IF97BaseTwoPhase
Intermediate property data record for IF 97

Information

This icon is indicates a record.

Extends from Modelica.Icons.Record (Icon for records).

Fields

Type	Name	Description
`Integer`	`phase`	Phase: 2 for two-phase, 1 for one phase, 0 if unknown
`Integer`	`region`	IF 97 region
`Pressure`	`p`	Pressure
`Temperature`	`T`	Temperature
`SpecificEnthalpy`	`h`	Specific enthalpy
`SpecificHeatCapacity`	`R`	Gas constant
`SpecificHeatCapacity`	`cp`	Specific heat capacity
`SpecificHeatCapacity`	`cv`	Specific heat capacity
`Density`	`rho`	Density
`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

Record Modelica.Media.Common.IF97PhaseBoundaryProperties
Thermodynamic base properties on the phase boundary for IF97 steam tables

Information

This icon is indicates a record.

Extends from Modelica.Icons.Record (Icon for records).

Fields

Type	Name	Description
`Boolean`	`region3boundary`	True if boundary between 2-phase and region 3
`SpecificHeatCapacity`	`R`	Specific heat capacity
`Temperature`	`T`	Temperature
`Density`	`d`	Density
`SpecificEnthalpy`	`h`	Specific enthalpy
`SpecificEntropy`	`s`	Specific entropy
`SpecificHeatCapacity`	`cp`	Heat capacity at constant pressure
`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`	Derivative of specific volume w.r.t. temperature
`Real`	`vp`	Derivative of specific volume w.r.t. pressure

Record Modelica.Media.Common.GibbsDerivs
Derivatives of dimensionless Gibbs-function w.r.t. dimensionless pressure and temperature

Information

This icon is indicates a record.

Extends from Modelica.Icons.Record (Icon for records).

Fields

Type	Name	Description
`Pressure`	`p`	Pressure
`Temperature`	`T`	Temperature
`SpecificHeatCapacity`	`R`	Specific heat capacity
`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

Record Modelica.Media.Common.HelmholtzDerivs
Derivatives of dimensionless Helmholtz-function w.r.t. dimensionless pressure, density and temperature

Information

This icon is indicates a record.

Extends from Modelica.Icons.Record (Icon for records).

Fields

Type	Name	Description
`Density`	`d`	Density
`Temperature`	`T`	Temperature
`SpecificHeatCapacity`	`R`	Specific heat capacity
`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

Record Modelica.Media.Common.TwoPhaseTransportProps
Defines properties on both phase boundaries, needed in the two phase region

Information

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Extends from Modelica.Icons.Record (Icon for records).

Fields

Type	Name	Description
`Density`	`d_vap`	Density on the dew line
`Density`	`d_liq`	Density on the bubble line
`DynamicViscosity`	`eta_vap`	Dynamic viscosity on the dew line
`DynamicViscosity`	`eta_liq`	Dynamic viscosity on the bubble line
`ThermalConductivity`	`lam_vap`	Thermal conductivity on the dew line
`ThermalConductivity`	`lam_liq`	Thermal conductivity on the bubble line
`SpecificHeatCapacity`	`cp_vap`	Cp on the dew line
`SpecificHeatCapacity`	`cp_liq`	Cp on the bubble line
`MassFraction`	`x`	Steam quality

Record Modelica.Media.Common.PhaseBoundaryProperties
Thermodynamic base properties on the phase boundary

Information

This icon is indicates a record.

Extends from Modelica.Icons.Record (Icon for records).

Fields

Type	Name	Description
`Density`	`d`	Density
`SpecificEnthalpy`	`h`	Specific enthalpy
`SpecificEnergy`	`u`	Inner energy
`SpecificEntropy`	`s`	Specific entropy
`SpecificHeatCapacity`	`cp`	Heat capacity at constant pressure
`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

Record Modelica.Media.Common.NewtonDerivatives_ph
Derivatives for fast inverse calculations of Helmholtz functions: p & h

Information

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Extends from Modelica.Icons.Record (Icon for records).

Fields

Type	Name	Description
`Pressure`	`p`	Pressure
`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

Record Modelica.Media.Common.NewtonDerivatives_ps
Derivatives for fast inverse calculation of Helmholtz functions: p & s

Information

This icon is indicates a record.

Extends from Modelica.Icons.Record (Icon for records).

Fields

Type	Name	Description
`Pressure`	`p`	Pressure
`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

Record Modelica.Media.Common.NewtonDerivatives_pT
Derivatives for fast inverse calculations of Helmholtz functions:p & T

Information

This icon is indicates a record.

Extends from Modelica.Icons.Record (Icon for records).

Fields

Type	Name	Description
`Pressure`	`p`	Pressure
`DerPressureByDensity`	`pd`	Derivative of pressure w.r.t. density

Record Modelica.Media.Common.ExtraDerivatives
Additional thermodynamic derivatives

Information

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Extends from Modelica.Icons.Record (Icon for records).

Fields

Type	Name	Description
`IsentropicExponent`	`kappa`	Isentropic expansion coefficient
`IsenthalpicExponent`	`theta`	Isenthalpic exponent
`IsobaricVolumeExpansionCoefficient`	`alpha`	Isobaric volume expansion coefficient
`IsochoricPressureCoefficient`	`beta`	Isochoric pressure coefficient
`IsothermalCompressibility`	`gamma`	Isothermal compressibility
`JouleThomsonCoefficient`	`mu`	Joule-Thomson coefficient

Record Modelica.Media.Common.BridgmansTables
Calculates all entries in Bridgmans tables if first seven variables given

Information

Important: the phase equilibrium conditions are not yet considered. this means that Bridgman's tables do not yet work in the two phase region. Some derivatives are 0 or infinity anyways. Idea: Do not use the values in Bridgmans table directly, all derivatives are calculated as the quotient of two entries in the table. The last letter indicates which variable is held constant in taking the derivative. The second letters are the two variables involved in the derivative and the first letter is always a d to remind of differentiation.

Example 1: Get the derivative of specific entropy s w.r.t. Temperature at
constant specific volume (between identical to constant density)
constant volume  --> last letter v
Temperature      --> second letter T
Specific entropy --> second letter s
--> the needed value is dsv/dTv
Known variables:
Temperature T
pressure p
specific volume v
specific inner energy u
specific enthalpy h
specific entropy s
specific Helmholtz energy f
specific gibbs enthalpy g
Not included but useful:
density d
In order to convert derivatives involving density use the following
rules:
at constant density == at constant specific volume
ddx/dyx = -d*d*dvx/dyx with y,x any of T,p,u,h,s,f,g
dyx/ddx = -1/(d*d)dyx/dvx with y,x any of T,p,u,h,s,f,g
Usage example assuming water as the medium:
model BridgmansTablesForWater
extends ThermoFluid.BaseClasses.MediumModels.Water.WaterSteamMedium_ph;
Real derOfsByTAtConstantv "derivative of sp. entropy by temperature at constant sp. volume"
ThermoFluid.BaseClasses.MediumModels.Common.ExtraDerivatives dpro;
ThermoFluid.BaseClasses.MediumModels.Common.BridgmansTables bt;
equation
dpro = ThermoFluid.BaseClasses.MediumModels.SteamIF97.extraDerivs_pT(p[1],T[1]);
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;

Extends from Modelica.Icons.Record (Icon for records).

Fields

Type	Name	Description
`SpecificVolume`	`v`	Specific volume
`Pressure`	`p`	Pressure
`Temperature`	`T`	Temperature
`SpecificEntropy`	`s`	Specific entropy
`SpecificHeatCapacity`	`cp`	Heat capacity at constant pressure
`IsobaricVolumeExpansionCoefficient`	`alpha`	Isobaric volume expansion coefficient
`IsothermalCompressibility`	`gamma`	Isothermal compressibility
`Real`	`dTp`	Coefficient in Bridgmans table, see info for usage
`Real`	`dpT`	Coefficient in Bridgmans table, see info for usage
`Real`	`dvp`	Coefficient in Bridgmans table, see info for usage
`Real`	`dpv`	Coefficient in Bridgmans table, see info for usage
`Real`	`dsp`	Coefficient in Bridgmans table, see info for usage
`Real`	`dps`	Coefficient in Bridgmans table, see info for usage
`Real`	`dup`	Coefficient in Bridgmans table, see info for usage
`Real`	`dpu`	Coefficient in Bridgmans table, see info for usage
`Real`	`dhp`	Coefficient in Bridgmans table, see info for usage
`Real`	`dph`	Coefficient in Bridgmans table, see info for usage
`Real`	`dfp`	Coefficient in Bridgmans table, see info for usage
`Real`	`dpf`	Coefficient in Bridgmans table, see info for usage
`Real`	`dgp`	Coefficient in Bridgmans table, see info for usage
`Real`	`dpg`	Coefficient in Bridgmans table, see info for usage
`Real`	`dvT`	Coefficient in Bridgmans table, see info for usage
`Real`	`dTv`	Coefficient in Bridgmans table, see info for usage
`Real`	`dsT`	Coefficient in Bridgmans table, see info for usage
`Real`	`dTs`	Coefficient in Bridgmans table, see info for usage
`Real`	`duT`	Coefficient in Bridgmans table, see info for usage
`Real`	`dTu`	Coefficient in Bridgmans table, see info for usage
`Real`	`dhT`	Coefficient in Bridgmans table, see info for usage
`Real`	`dTh`	Coefficient in Bridgmans table, see info for usage
`Real`	`dfT`	Coefficient in Bridgmans table, see info for usage
`Real`	`dTf`	Coefficient in Bridgmans table, see info for usage
`Real`	`dgT`	Coefficient in Bridgmans table, see info for usage
`Real`	`dTg`	Coefficient in Bridgmans table, see info for usage
`Real`	`dsv`	Coefficient in Bridgmans table, see info for usage
`Real`	`dvs`	Coefficient in Bridgmans table, see info for usage
`Real`	`duv`	Coefficient in Bridgmans table, see info for usage
`Real`	`dvu`	Coefficient in Bridgmans table, see info for usage
`Real`	`dhv`	Coefficient in Bridgmans table, see info for usage
`Real`	`dvh`	Coefficient in Bridgmans table, see info for usage
`Real`	`dfv`	Coefficient in Bridgmans table, see info for usage
`Real`	`dvf`	Coefficient in Bridgmans table, see info for usage
`Real`	`dgv`	Coefficient in Bridgmans table, see info for usage
`Real`	`dvg`	Coefficient in Bridgmans table, see info for usage
`Real`	`dus`	Coefficient in Bridgmans table, see info for usage
`Real`	`dsu`	Coefficient in Bridgmans table, see info for usage
`Real`	`dhs`	Coefficient in Bridgmans table, see info for usage
`Real`	`dsh`	Coefficient in Bridgmans table, see info for usage
`Real`	`dfs`	Coefficient in Bridgmans table, see info for usage
`Real`	`dsf`	Coefficient in Bridgmans table, see info for usage
`Real`	`dgs`	Coefficient in Bridgmans table, see info for usage
`Real`	`dsg`	Coefficient in Bridgmans table, see info for usage
`Real`	`dhu`	Coefficient in Bridgmans table, see info for usage
`Real`	`duh`	Coefficient in Bridgmans table, see info for usage
`Real`	`dfu`	Coefficient in Bridgmans table, see info for usage
`Real`	`duf`	Coefficient in Bridgmans table, see info for usage
`Real`	`dgu`	Coefficient in Bridgmans table, see info for usage
`Real`	`dug`	Coefficient in Bridgmans table, see info for usage
`Real`	`dfh`	Coefficient in Bridgmans table, see info for usage
`Real`	`dhf`	Coefficient in Bridgmans table, see info for usage
`Real`	`dgh`	Coefficient in Bridgmans table, see info for usage
`Real`	`dhg`	Coefficient in Bridgmans table, see info for usage
`Real`	`dfg`	Coefficient in Bridgmans table, see info for usage
`Real`	`dgf`	Coefficient in Bridgmans table, see info for usage

Record Modelica.Media.Common.FundamentalConstants
Constants of the medium

Information

This icon is indicates a record.

Extends from Modelica.Icons.Record (Icon for records).

Fields

Type	Name	Description
`MolarHeatCapacity`	`R_bar`
`SpecificHeatCapacity`	`R`
`MolarMass`	`MM`
`MolarDensity`	`rhored`
`Temperature`	`Tred`
`AbsolutePressure`	`pred`
`SpecificEnthalpy`	`h_off`
`SpecificEntropy`	`s_off`

Record Modelica.Media.Common.AuxiliaryProperties
Intermediate property data record

Information

This icon is indicates a record.

Extends from Modelica.Icons.Record (Icon for records).

Fields

Type	Name	Description
`Pressure`	`p`	Pressure
`Temperature`	`T`	Temperature
`SpecificEnthalpy`	`h`	Specific enthalpy
`SpecificHeatCapacity`	`R`	Gas constant
`SpecificHeatCapacity`	`cp`	Specific heat capacity
`SpecificHeatCapacity`	`cv`	Specific heat capacity
`Density`	`rho`	Density
`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

Record Modelica.Media.Common.GibbsDerivs2
Derivatives of Gibbs function w.r.t. pressure and temperature

Information

This icon is indicates a record.

Extends from Modelica.Icons.Record (Icon for records).

Fields

Type	Name	Description
`Pressure`	`p`	Pressure
`Temperature`	`T`	Temperature
`SpecificHeatCapacity`	`R`	Specific heat capacity
`Real`	`pi`	Dimensionless pressure
`Real`	`theta`	Dimensionless temperature
`Real`	`g`	Gibbs function
`Real`	`gp`	Derivative of g w.r.t. p
`Real`	`gpp`	2nd derivative of g w.r.t. p
`Real`	`gT`	Derivative of g w.r.t. T
`Real`	`gTT`	2nd derivative of g w.r.t. T
`Real`	`gTp`	Mixed derivative of g w.r.t. T and p

Record Modelica.Media.Common.NewtonDerivatives_dT
Derivatives for fast inverse calculations of Gibbs function

Information

This icon is indicates a record.

Extends from Modelica.Icons.Record (Icon for records).

Fields

Type	Name	Description
`SpecificVolume`	`v`	Specific volume
`Real`	`vp`	Derivative of specific volume w.r.t. pressure

Function Modelica.Media.Common.gibbsToBridgmansTables
Calculates base coefficients for Bridgman's tables from gibbs enthalpy

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`GibbsDerivs`	`g`	Dimensionless derivatives of Gibbs function

Outputs

Type	Name	Description
`SpecificVolume`	`v`	Specific volume
`Pressure`	`p`	Pressure
`Temperature`	`T`	Temperature
`SpecificEntropy`	`s`	Specific entropy
`SpecificHeatCapacity`	`cp`	Heat capacity at constant pressure
`IsobaricVolumeExpansionCoefficient`	`alpha`	Isobaric volume expansion coefficient
`IsothermalCompressibility`	`gamma`	Isothermal compressibility

Function Modelica.Media.Common.helmholtzToBridgmansTables
Calculates base coefficients for Bridgmans tables from Helmholtz energy

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`HelmholtzDerivs`	`f`	Dimensionless derivatives of Helmholtz function

Outputs

Type	Name	Description
`SpecificVolume`	`v`	Specific volume
`Pressure`	`p`	Pressure
`Temperature`	`T`	Temperature
`SpecificEntropy`	`s`	Specific entropy
`SpecificHeatCapacity`	`cp`	Heat capacity at constant pressure
`IsobaricVolumeExpansionCoefficient`	`alpha`	Isobaric volume expansion coefficient
`IsothermalCompressibility`	`gamma`	Isothermal compressibility

Function Modelica.Media.Common.gibbsToBoundaryProps
Calculate phase boundary property record from dimensionless Gibbs function

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`GibbsDerivs`	`g`	Dimensionless derivatives of Gibbs function

Outputs

Type	Name	Description
`PhaseBoundaryProperties`	`sat`	Phase boundary properties

Function Modelica.Media.Common.helmholtzToBoundaryProps
Calculate phase boundary property record from dimensionless Helmholtz function

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`HelmholtzDerivs`	`f`	Dimensionless derivatives of Helmholtz function

Outputs

Type	Name	Description
`PhaseBoundaryProperties`	`sat`	Phase boundary property record

Function Modelica.Media.Common.cv2Phase
Compute isochoric specific heat capacity inside the two-phase region

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`PhaseBoundaryProperties`	`liq`	Properties on the boiling curve
`PhaseBoundaryProperties`	`vap`	Properties on the condensation curve
`MassFraction`	`x`	Vapour mass fraction
`Temperature`	`T`	Temperature
`Pressure`	`p`	Properties

Outputs

Type	Name	Description
`SpecificHeatCapacity`	`cv`	Isochoric specific heat capacity

Function Modelica.Media.Common.cvdpT2Phase
Compute isochoric specific heat capacity inside the two-phase region and derivative of pressure w.r.t. temperature

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`PhaseBoundaryProperties`	`liq`	Properties on the boiling curve
`PhaseBoundaryProperties`	`vap`	Properties on the condensation curve
`MassFraction`	`x`	Vapour mass fraction
`Temperature`	`T`	Temperature
`Pressure`	`p`	Properties

Outputs

Type	Name	Description
`SpecificHeatCapacity`	`cv`	Isochoric specific heat capacity
`Real`	`dpT`	Derivative of pressure w.r.t. temperature

Function Modelica.Media.Common.gibbsToExtraDerivs
Compute additional thermodynamic derivatives from dimensionless Gibbs function

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`GibbsDerivs`	`g`	Dimensionless derivatives of Gibbs function

Outputs

Type	Name	Description
`ExtraDerivatives`	`dpro`	Additional property derivatives

Function Modelica.Media.Common.helmholtzToExtraDerivs
Compute additional thermodynamic derivatives from dimensionless Helmholtz function

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`HelmholtzDerivs`	`f`	Dimensionless derivatives of Helmholtz function

Outputs

Type	Name	Description
`ExtraDerivatives`	`dpro`	Additional property derivatives

Function Modelica.Media.Common.Helmholtz_ph
Function to calculate analytic derivatives for computing d and t given p and h

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`HelmholtzDerivs`	`f`	Dimensionless derivatives of Helmholtz function

Outputs

Type	Name	Description
`NewtonDerivatives_ph`	`nderivs`	Derivatives for Newton iteration to calculate d and t from p and h

Function Modelica.Media.Common.Helmholtz_pT
Function to calculate analytic derivatives for computing d and t given p and t

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`HelmholtzDerivs`	`f`	Dimensionless derivatives of Helmholtz function

Outputs

Type	Name	Description
`NewtonDerivatives_pT`	`nderivs`	Derivatives for Newton iteration to compute d and t from p and t

Function Modelica.Media.Common.Helmholtz_ps
Function to calculate analytic derivatives for computing d and t given p and s

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`HelmholtzDerivs`	`f`	Dimensionless derivatives of Helmholtz function

Outputs

Type	Name	Description
`NewtonDerivatives_ps`	`nderivs`	Derivatives for Newton iteration to compute d and t from p and s

Function Modelica.Media.Common.smoothStep
Approximation of a general step, such that the characteristic is continuous and differentiable

Information

This function is used to approximate the equation

    y = if x > 0 then y1 else y2;

by a smooth characteristic, so that the expression is continuous and differentiable:

   y = smooth(1, if x >  x_small then y1 else
                 if x < -x_small then y2 else f(y1, y2));

In the region -x_small < x < x_small a 2nd order polynomial is used for a smooth transition from y1 to y2.

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(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):

    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);

    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	Description
`Real`	`x`	Abscissa value
`Real`	`y1`	Ordinate value for x > 0
`Real`	`y2`	Ordinate value for x < 0
`Real`	`x_small`	Approximation of step for -x_small <= x <= x_small; x_small > 0 required

Outputs

Type	Name	Description
`Real`	`y`	Ordinate value to approximate y = if x > 0 then y1 else y2

Function Modelica.Media.Common.Gibbs2_ph
Function to calculate analytic derivatives for computing T given p and h

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`GibbsDerivs2`	`g`	Dimensionless derivatives of Gibbs function

Outputs

Type	Name	Description
`NewtonDerivatives_ph`	`nderivs`	Derivatives for Newton iteration to calculate d and t from p and h

Function Modelica.Media.Common.Gibbs2_dT
Function to calculate analytic derivatives for computing p given d and T

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`GibbsDerivs2`	`g`	Dimensionless derivatives of Gibbs function

Outputs

Type	Name	Description
`NewtonDerivatives_dT`	`nderivs`	Derivatives for Newton iteration to compute p from d and T

Function Modelica.Media.Common.Gibbs2_ps
Function to calculate analytic derivatives for computing d and t given p and s

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`GibbsDerivs2`	`g`	Dimensionless derivatives of Gibbs function

Outputs

Type	Name	Description
`NewtonDerivatives_ps`	`nderivs`	Derivatives for Newton iteration to compute T from p and s

Generated 2018-12-12 12:13:47 EST by MapleSim.

Package Modelica.​Media.​CommonData structures and fundamental functions for fluid properties

Information

Package description

Package Contents

Package Constants

Type Modelica.​Media.​Common.​Rate

Attributes

Type Modelica.​Media.​Common.​MolarFlowRate

Attributes

Type Modelica.​Media.​Common.​MolarReactionRate

Attributes

Type Modelica.​Media.​Common.​MolarEnthalpy

Attributes

Type Modelica.​Media.​Common.​DerDensityByEntropy

Attributes

Type Modelica.​Media.​Common.​DerEnergyByPressure

Attributes

Type Modelica.​Media.​Common.​DerEnergyByMoles

Attributes

Type Modelica.​Media.​Common.​DerEntropyByTemperature

Attributes

Type Modelica.​Media.​Common.​DerEntropyByPressure

Attributes

Type Modelica.​Media.​Common.​DerEntropyByMoles

Attributes

Type Modelica.​Media.​Common.​DerPressureByDensity

Attributes

Type Modelica.​Media.​Common.​DerPressureBySpecificVolume

Attributes

Type Modelica.​Media.​Common.​DerPressureByTemperature

Attributes

Type Modelica.​Media.​Common.​DerVolumeByTemperature

Attributes

Type Modelica.​Media.​Common.​DerVolumeByPressure

Attributes

Type Modelica.​Media.​Common.​DerVolumeByMoles

Attributes

Type Modelica.​Media.​Common.​IsenthalpicExponent

Attributes

Type Modelica.​Media.​Common.​IsentropicExponent

Attributes

Type Modelica.​Media.​Common.​IsobaricVolumeExpansionCoefficient

Attributes

Type Modelica.​Media.​Common.​IsochoricPressureCoefficient

Attributes

Type Modelica.​Media.​Common.​IsothermalCompressibility

Attributes

Type Modelica.​Media.​Common.​JouleThomsonCoefficient

Attributes

Record Modelica.​Media.​Common.​SaturationPropertiesProperties in the two phase region

Information

Fields

Record Modelica.​Media.​Common.​SaturationBoundaryPropertiesProperties on both phase boundaries, including some derivatives

Information

Fields

Record Modelica.​Media.​Common.​IF97BaseTwoPhaseIntermediate property data record for IF 97

Information

Fields

Record Modelica.​Media.​Common.​IF97PhaseBoundaryPropertiesThermodynamic base properties on the phase boundary for IF97 steam tables

Information

Fields

Record Modelica.​Media.​Common.​GibbsDerivsDerivatives of dimensionless Gibbs-function w.r.t. dimensionless pressure and temperature

Information

Fields

Record Modelica.​Media.​Common.​HelmholtzDerivsDerivatives of dimensionless Helmholtz-function w.r.t. dimensionless pressure, density and temperature

Information

Fields

Record Modelica.​Media.​Common.​TwoPhaseTransportPropsDefines properties on both phase boundaries, needed in the two phase region

Information

Fields

Record Modelica.​Media.​Common.​PhaseBoundaryPropertiesThermodynamic base properties on the phase boundary

Information

Fields

Record Modelica.​Media.​Common.​NewtonDerivatives_phDerivatives for fast inverse calculations of Helmholtz functions: p & h

Information

Fields

Record Modelica.​Media.​Common.​NewtonDerivatives_psDerivatives for fast inverse calculation of Helmholtz functions: p & s

Information

Fields

Record Modelica.​Media.​Common.​NewtonDerivatives_pTDerivatives for fast inverse calculations of Helmholtz functions:p & T

Package Modelica.Media.Common
Data structures and fundamental functions for fluid properties

Type Modelica.Media.Common.Rate

Type Modelica.Media.Common.MolarFlowRate

Type Modelica.Media.Common.MolarReactionRate

Type Modelica.Media.Common.MolarEnthalpy

Type Modelica.Media.Common.DerDensityByEntropy

Type Modelica.Media.Common.DerEnergyByPressure

Type Modelica.Media.Common.DerEnergyByMoles

Type Modelica.Media.Common.DerEntropyByTemperature

Type Modelica.Media.Common.DerEntropyByPressure

Type Modelica.Media.Common.DerEntropyByMoles

Type Modelica.Media.Common.DerPressureByDensity

Type Modelica.Media.Common.DerPressureBySpecificVolume

Type Modelica.Media.Common.DerPressureByTemperature

Type Modelica.Media.Common.DerVolumeByTemperature

Type Modelica.Media.Common.DerVolumeByPressure

Type Modelica.Media.Common.DerVolumeByMoles

Type Modelica.Media.Common.IsenthalpicExponent

Type Modelica.Media.Common.IsentropicExponent

Type Modelica.Media.Common.IsobaricVolumeExpansionCoefficient

Type Modelica.Media.Common.IsochoricPressureCoefficient

Type Modelica.Media.Common.IsothermalCompressibility

Type Modelica.Media.Common.JouleThomsonCoefficient

Record Modelica.Media.Common.SaturationProperties
Properties in the two phase region

Record Modelica.Media.Common.SaturationBoundaryProperties
Properties on both phase boundaries, including some derivatives

Record Modelica.Media.Common.IF97BaseTwoPhase
Intermediate property data record for IF 97

Record Modelica.Media.Common.IF97PhaseBoundaryProperties
Thermodynamic base properties on the phase boundary for IF97 steam tables

Record Modelica.Media.Common.GibbsDerivs
Derivatives of dimensionless Gibbs-function w.r.t. dimensionless pressure and temperature

Record Modelica.Media.Common.HelmholtzDerivs
Derivatives of dimensionless Helmholtz-function w.r.t. dimensionless pressure, density and temperature

Record Modelica.Media.Common.TwoPhaseTransportProps
Defines properties on both phase boundaries, needed in the two phase region

Record Modelica.Media.Common.PhaseBoundaryProperties
Thermodynamic base properties on the phase boundary

Record Modelica.Media.Common.NewtonDerivatives_ph
Derivatives for fast inverse calculations of Helmholtz functions: p & h

Record Modelica.Media.Common.NewtonDerivatives_ps
Derivatives for fast inverse calculation of Helmholtz functions: p & s

Record Modelica.Media.Common.NewtonDerivatives_pT
Derivatives for fast inverse calculations of Helmholtz functions:p & T

Record Modelica.Media.Common.ExtraDerivatives
Additional thermodynamic derivatives

Record Modelica.Media.Common.BridgmansTables
Calculates all entries in Bridgmans tables if first seven variables given

Record Modelica.Media.Common.FundamentalConstants
Constants of the medium

Record Modelica.Media.Common.AuxiliaryProperties
Intermediate property data record

Record Modelica.Media.Common.GibbsDerivs2
Derivatives of Gibbs function w.r.t. pressure and temperature

Record Modelica.Media.Common.NewtonDerivatives_dT
Derivatives for fast inverse calculations of Gibbs function

Function Modelica.Media.Common.gibbsToBridgmansTables
Calculates base coefficients for Bridgman's tables from gibbs enthalpy

Function Modelica.Media.Common.helmholtzToBridgmansTables
Calculates base coefficients for Bridgmans tables from Helmholtz energy

Function Modelica.Media.Common.gibbsToBoundaryProps
Calculate phase boundary property record from dimensionless Gibbs function

Function Modelica.Media.Common.helmholtzToBoundaryProps
Calculate phase boundary property record from dimensionless Helmholtz function

Function Modelica.Media.Common.cv2Phase
Compute isochoric specific heat capacity inside the two-phase region

Function Modelica.Media.Common.cvdpT2Phase
Compute isochoric specific heat capacity inside the two-phase region and derivative of pressure w.r.t. temperature

Function Modelica.Media.Common.gibbsToExtraDerivs
Compute additional thermodynamic derivatives from dimensionless Gibbs function

Function Modelica.Media.Common.helmholtzToExtraDerivs
Compute additional thermodynamic derivatives from dimensionless Helmholtz function

Function Modelica.Media.Common.Helmholtz_ph
Function to calculate analytic derivatives for computing d and t given p and h

Function Modelica.Media.Common.Helmholtz_pT
Function to calculate analytic derivatives for computing d and t given p and t

Function Modelica.Media.Common.Helmholtz_ps
Function to calculate analytic derivatives for computing d and t given p and s

Function Modelica.Media.Common.smoothStep
Approximation of a general step, such that the characteristic is continuous and differentiable

Function Modelica.Media.Common.Gibbs2_ph
Function to calculate analytic derivatives for computing T given p and h