This is the base package for medium models of incompressible fluids based on
tables. The minimal data to provide for a useful medium description is tables
of density and heat capacity as functions of temperature.
It should be noted that incompressible media only have 1 state per control volume (usually T),
but have both T and p as inputs for fully correct properties. The error of using only T-dependent
properties is small, therefore a Boolean flag enthalpyOfT exists. If it is true, the
enumeration Choices.independentVariables is set to Choices.independentVariables.T otherwise
it is set to Choices.independentVariables.pT.
| Name | Description |
|---|
| enthalpyOfT=true | True if enthalpy is approximated as a function of T only, (p-dependence neglected) |
| densityOfT=size(tableDensity, 1) > 1 | True if density is a function of temperature |
| T_min | Minimum temperature valid for medium model |
| T_max | Maximum temperature valid for medium model |
| T0=273.15 | Reference Temperature |
| h0=0 | Reference enthalpy at T0, reference_p |
| s0=0 | Reference entropy at T0, reference_p |
| MM_const=0.1 | Molar mass |
| npol=2 | Degree of polynomial used for fitting |
| npolDensity=npol | Degree of polynomial used for fitting rho(T) |
| npolHeatCapacity=npol | Degree of polynomial used for fitting Cp(T) |
| npolViscosity=npol | Degree of polynomial used for fitting eta(T) |
| npolVaporPressure=npol | Degree of polynomial used for fitting pVap(T) |
| npolConductivity=npol | Degree of polynomial used for fitting lambda(T) |
| neta=size(tableViscosity, 1) | Number of data points for viscosity |
| tableDensity | Table for rho(T) |
| tableHeatCapacity | Table for Cp(T) |
| tableViscosity | Table for eta(T) |
| tableVaporPressure | Table for pVap(T) |
| tableConductivity | Table for lambda(T) |
| TinK | True if T[K],Kelvin used for table temperatures |
| hasDensity=not (size(tableDensity, 1) == 0) | True if table tableDensity is present |
| hasHeatCapacity=not (size(tableHeatCapacity, 1) == 0) | True if table tableHeatCapacity is present |
| hasViscosity=not (size(tableViscosity, 1) == 0) | True if table tableViscosity is present |
| hasVaporPressure=not (size(tableVaporPressure, 1) == 0) | True if table tableVaporPressure is present |
| invTK=if size(tableViscosity, 1) > 0 then (if TinK then 1 ./ tableViscosity[:, 1] else 1 ./ Cv.from_degC(tableViscosity[:, 1])) else fill(0, neta) | |
| poly_rho=if hasDensity then Poly.fitting(tableDensity[:, 1], tableDensity[:, 2], npolDensity) else zeros(npolDensity + 1) | |
| poly_Cp=if hasHeatCapacity then Poly.fitting(tableHeatCapacity[:, 1], tableHeatCapacity[:, 2], npolHeatCapacity) else zeros(npolHeatCapacity + 1) | |
| poly_eta=if hasViscosity then Poly.fitting(invTK, Math.log(tableViscosity[:, 2]), npolViscosity) else zeros(npolViscosity + 1) | |
| poly_pVap=if hasVaporPressure then Poly.fitting(tableVaporPressure[:, 1], tableVaporPressure[:, 2], npolVaporPressure) else zeros(npolVaporPressure + 1) | |
| poly_lam=if size(tableConductivity, 1) > 0 then Poly.fitting(tableConductivity[:, 1], tableConductivity[:, 2], npolConductivity) else zeros(npolConductivity + 1) | |
 invertTemp
| Function to invert temperatures |
 BaseProperties
| Base properties of T dependent medium |
 setState_pTX
| Returns state record, given pressure and temperature |
| setState_dTX
| Returns state record, given pressure and temperature |
| setState_pT
| Returns state record as function of p and T |
| setState_phX
| Returns state record, given pressure and specific enthalpy |
| setState_ph
| Returns state record as function of p and h |
| setState_psX
| Returns state record, given pressure and specific entropy |
| setState_ps
| Returns state record as function of p and s |
| setSmoothState
| Return thermodynamic state so that it smoothly approximates: if x > 0 then state_a else state_b |
| specificHeatCapacityCv
| Specific heat capacity at constant volume (or pressure) of medium |
| specificHeatCapacityCp
| Specific heat capacity at constant volume (or pressure) of medium |
| dynamicViscosity
| Return dynamic viscosity as a function of the thermodynamic state record |
| thermalConductivity
| Return thermal conductivity as a function of the thermodynamic state record |
| s_T
| Compute specific entropy |
| specificEntropy
| Return specific entropy
as a function of the thermodynamic state record |
| h_T
| Compute specific enthalpy from temperature |
| h_T_der
| Compute specific enthalpy from temperature |
| h_pT
| Compute specific enthalpy from pressure and temperature |
| density_T
| Return density as function of temperature |
| temperature
| Return temperature as a function of the thermodynamic state record |
| pressure
| Return pressure as a function of the thermodynamic state record |
| density
| Return density as a function of the thermodynamic state record |
| specificEnthalpy
| Return specific enthalpy as a function of the thermodynamic state record |
| specificInternalEnergy
| Return specific internal energy as a function of the thermodynamic state record |
| T_ph
| Compute temperature from pressure and specific enthalpy |
| T_ps
| Compute temperature from pressure and specific enthalpy |
 Polynomials_Temp
| Temporary Functions operating on polynomials (including polynomial fitting); only to be used in Modelica.Media.Incompressible.TableBased |
| Inherited |
|---|
| 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 |
 prandtlNumber
| Return the Prandtl number |
| specificGibbsEnergy
| Return specific Gibbs energy |
| specificHelmholtzEnergy
| Return specific Helmholtz energy |
 heatCapacity_cp
| Alias for deprecated name |
| 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 |
| MassFlowRate
| Type for mass flow rate with medium specific attributes |
| 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 |
| 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 respect to pressure with medium specific attributes |
| DerDensityByEnthalpy
| Type for partial derivative of density with respect to enthalpy with medium specific attributes |
| DerEnthalpyByPressure
| Type for partial derivative of enthalpy with respect to pressure with medium specific attributes |
| DerDensityByTemperature
| Type for partial derivative of density with respect to temperature with medium specific attributes |
| DerTemperatureByPressure
| Type for partial derivative of temperature with respect to pressure with medium specific attributes |
 SaturationProperties
| Saturation properties of two phase medium |
| FluidLimits
| Validity limits for fluid model |
| FixedPhase
| Phase of the fluid: 1 for 1-phase, 2 for two-phase, 0 for not known, e.g., interactive use |
 Basic
| The most basic version of a record used in several degrees of detail |
| IdealGas
| The ideal gas version of a record used in several degrees of detail |
| TwoPhase
| The two phase fluid version of a record used in several degrees of detail |
Note that the inner energy neglects the pressure dependence, which is only
true for an incompressible medium with d = constant. The neglected term is
p-reference_p)/rho*(T/rho)*(partial rho /partial T). This is very small for
liquids due to proportionality to 1/d^2, but can be problematic for gases that are
modeled incompressible.
It should be noted that incompressible media only have 1 state per control volume (usually T),
but have both T and p as inputs for fully correct properties. The error of using only T-dependent
properties is small, therefore a Boolean flag enthalpyOfT exists. If it is true, the
enumeration Choices.independentVariables is set to Choices.independentVariables.T otherwise
it is set to Choices.independentVariables.pT.
Enthalpy is never a function of T only (h = h(T) + (p-reference_p)/d), but the
error is also small and non-linear systems can be avoided. In particular,
non-linear systems are small and local as opposed to large and over all volumes.
Modelica.Media.Incompressible.TableBased.invertTemp
Modelica.Media.Incompressible.TableBased.BaseProperties
Modelica.Media.Incompressible.TableBased.setState_pTX