Package Modelica.Media.CompressibleLiquids.LinearColdWater
Cold water model with linear compressibility

Information

Linear Compressibility Fluid Model

This linear compressibility fluid model is based on the assumptions that:

The specific heat capacity at constant pressure (cp) is constant
The isobaric expansion coefficient (beta) is constant
The isothermal compressibility (kappa) is constant
Pressure and temperature are used as states
The influence of density on specific enthalpy (h), entropy (s), inner energy (u) and heat capacity (cv) at constant volume is neglected.

That means that the density is a linear function in temperature and in pressure. In order to define the complete model, a number of constant reference values are needed which are computed at the reference values of the states pressure p and temperature T. The model can be interpreted as a linearization of a full non-linear fluid model (but it is not linear in all thermodynamic coordinates). Reference values are needed for

the density (reference_d),
the specific enthalpy (reference_h),
the specific entropy (reference_s).

Apart from that, a user needs to define the molar mass, MM_const. Note that it is possible to define a fluid by computing the reference values from a full non-linear fluid model by computing the package constants using the standard functions defined in a fluid package (see example in liquids package).

In order to avoid numerical inversion of the temperature in the T_ph and T_ps functions, the density is always taken to be the reference density in the computation of h, s, u and cv. For liquids (and this model is intended only for liquids) the relative error of doing so is 1e-3 to 1e-4 at most. The model would be more "correct" based on the other assumptions, if occurrences of reference_d in the computations of h,s,u and cv would be replaced by a call to density(state). That would require a numerical solution for T_ps, while T_ph can be solved symbolically from a quadratic function. Errors from this approximation are small because liquid density varies little.

Efficiency considerations

One of the main reasons to use a simple, linear fluid model is to achieve high performance in simulations. There are a number of possible compromises and possibilities to improve performance. Some of them can be influenced by a flag. The following rules where used in this model:

All forward evaluations (using the ThermodynamicState record as input) are exactly following the assumptions above.
If the flag constantJacobian is set to true in the package, all functions that typically appear in thermodynamic Jacobians (specificHeatCapacityCv, density_derp_h, density_derh_p, density_derp_T, density_derT_p) are evaluated at reference conditions (that means using the reference density) instead of the density of the current pressure and temperature. This makes it possible to evaluate the thermodynamic Jacobian at compile time.
For inverse functions using other inputs than the states (e.g pressure p and specific enthalpy h), the inversion is using the reference state whenever that is necessary to achieve a symbolic inversion.
If constantJacobian is set to false, the above list of functions is computed exactly according to the above list of assumptions

Authors:: Francesco Casella
Dipartimento di Elettronica e Informazione
Politecnico di Milano
Via Ponzio 34/5
I-20133 Milano, Italy
email: casella@elet.polimi.it
and
Hubertus Tummescheit
Modelon AB
Ideon Science Park
SE-22730 Lund, Sweden
email: Hubertus.Tummescheit@Modelon.se

Extends from Modelica.Media.Interfaces.PartialLinearFluid (Generic pure liquid model with constant cp, compressibility and thermal expansion coefficients).

Package Contents

Name	Description
`AbsolutePressure`	Type for absolute pressure with medium specific attributes
`BaseProperties`	Base properties of medium
`Basic` …	The most basic version of a record used in several degrees of detail
`beta`	Alias for isobaricExpansionCoefficient for user convenience
`Choices` …
`CumulativeExtraProperty`	Type for conserved integral of unspecified, mass specific property
`Density`	Type for density with medium specific attributes
`density`	Return the density from the thermodynamic state
`density_derh_p`	Return density derivative w.r.t. specific enthalpy at constant pressure
`density_derp_h`	Return density derivative w.r.t. pressure at const specific enthalpy
`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`	Returns the partial derivative of density with respect to mass fractions at constant pressure and temperature
`density_ph`	Return density from p and h
`density_phX`	Return density from p, h, and X or Xi
`density_ps`	Return density from p and s
`density_psX`	Return density from p, s, and X or Xi
`density_pT`	Return density from p and T
`density_pTX`	Return density from p, T, and X or Xi
`DerDensityByEnthalpy`	Type for partial derivative of density with respect to enthalpy with medium specific attributes
`DerDensityByPressure`	Type for partial derivative of density with respect to pressure with medium specific attributes
`DerDensityByTemperature`	Type for partial derivative of density with respect to temperature with medium specific attributes
`DerEnthalpyByPressure`	Type for partial derivative of enthalpy with respect to pressure with medium specific attributes
`DerTemperatureByPressure`	Type for partial derivative of temperature with respect to pressure with medium specific attributes
`DipoleMoment`	Type for dipole moment with medium specific attributes
`DynamicViscosity`	Type for dynamic viscosity with medium specific attributes
`dynamicViscosity`	Dynamic viscosity of water
`EnthalpyFlowRate`	Type for enthalpy flow rate with medium specific attributes
`ExtraProperty`	Type for unspecified, mass-specific property transported by flow
`ExtraPropertyFlowRate`	Type for flow rate of unspecified, mass-specific property
`FixedPhase`	Phase of the fluid: 1 for 1-phase, 2 for two-phase, 0 for not known, e.g., interactive use
`FluidConstants`	Critical, triple, molecular and other standard data of fluid
`FluidLimits`	Validity limits for fluid model
`heatCapacity_cp`	Alias for deprecated name
`heatCapacity_cv`	Alias for deprecated name
`IdealGas` …	The ideal gas version of a record used in several degrees of detail
`isentropicEnthalpy`	Return isentropic enthalpy
`IsentropicExponent`	Type for isentropic exponent with medium specific attributes
`isentropicExponent`	Return isentropic exponent from the thermodynamic state
`IsobaricExpansionCoefficient`	Type for isobaric expansion coefficient with medium specific attributes
`isobaricExpansionCoefficient`	Return the isobaric expansion coefficient
`isothermalCompressibility`	Return the isothermal compressibility kappa
`kappa`	Alias of isothermalCompressibility for user convenience
`MassFlowRate`	Type for mass flow rate with medium specific attributes
`MassFraction`	Type for mass fraction with medium specific attributes
`MolarMass`	Type for molar mass with medium specific attributes
`molarMass`	Return molar mass
`MolarVolume`	Type for molar volume with medium specific attributes
`MoleFraction`	Type for mole fraction with medium specific attributes
`PrandtlNumber`	Type for Prandtl number with medium specific attributes
`prandtlNumber`	Return the Prandtl number
`pressure`	Return the pressure from the thermodynamic state
`pressure_dT`	Return pressure from d and T
`SaturationProperties`	Saturation properties of two phase medium
`setSmoothState`	Return thermodynamic state so that it smoothly approximates: if x > 0 then state_a else state_b
`setState_dT`	Return thermodynamic state from d and T
`setState_dTX`	Set the thermodynamic state record from d and T (X not needed)
`setState_ph`	Return thermodynamic state from p and h
`setState_phX`	Set the thermodynamic state record from p and h (X not needed)
`setState_ps`	Return thermodynamic state from p and s
`setState_psX`	Set the thermodynamic state record from p and s (X not needed)
`setState_pT`	Return thermodynamic state from p and T
`setState_pTX`	Set the thermodynamic state record from p and T (X not needed)
`SpecificEnergy`	Type for specific energy with medium specific attributes
`SpecificEnthalpy`	Type for specific enthalpy with medium specific attributes
`specificEnthalpy`	Return the specific enthalpy from the thermodynamic state
`specificEnthalpy_dT`	Return specific enthalpy from d and T
`specificEnthalpy_ps`	Return specific enthalpy from p and s
`specificEnthalpy_psX`	Return specific enthalpy from p, s, and X or Xi
`specificEnthalpy_pT`	Return specific enthalpy from p and T
`specificEnthalpy_pTX`	Return specific enthalpy from p, T, and X or Xi
`SpecificEntropy`	Type for specific entropy with medium specific attributes
`specificEntropy`	Return the specific entropy from the thermodynamic state
`specificEntropy_pTX`	Return specific enthalpy from p, T, and X or Xi
`specificGibbsEnergy`	Return specific Gibbs energy from the thermodynamic state
`SpecificHeatCapacity`	Type for specific heat capacity with medium specific attributes
`specificHeatCapacityCp`	Return specific heat capacity at constant volume
`specificHeatCapacityCv`	Return specific heat capacity at constant volume from the thermodynamic state
`specificHelmholtzEnergy`	Return specific Helmholtz energy from the thermodynamic state
`SpecificInternalEnergy`	Type for specific internal energy with medium specific attributes
`specificInternalEnergy`	Return the specific internal energy from the thermodynamic state
`SurfaceTension`	Type for surface tension with medium specific attributes
`T_ph`	Return temperature from pressure and specific enthalpy
`T_ps`	Return temperature from pressure and specific entropy
`Temperature`	Type for temperature with medium specific attributes
`temperature`	Return the temperature from the thermodynamic state
`temperature_ph`	Return temperature from p and h
`temperature_phX`	Return temperature from p, h, and X or Xi
`temperature_ps`	Return temperature from p and s
`temperature_psX`	Return temperature from p,s, and X or Xi
`ThermalConductivity`	Type for thermal conductivity with medium specific attributes
`thermalConductivity`	Thermal conductivity of water
`ThermodynamicState`	A selection of variables that uniquely defines the thermodynamic state
`TwoPhase` …	The two phase fluid version of a record used in several degrees of detail
`VelocityOfSound`	Type for velocity of sound with medium specific attributes
`velocityOfSound`	Return velocity of sound from the thermodynamic state

Package Constants

Type	Name	Value	Description
`IsobaricExpansionCoefficient`	`beta_const`	`2.5713e-4`	Thermal expansion coefficient at constant pressure
`ExtraProperty`	`C_default[nC]`	`fill(0, nC)`	Default value for trace substances of medium (for initialization)
`Real`	`C_nominal[nC]`	`1e-6 * ones(nC)`	Default for the nominal values for the extra properties
`Boolean`	`constantJacobian`	`true`	If true, entries in thermodynamic Jacobian are constant, taken at reference conditions
`SpecificHeatCapacity`	`cp_const`	`4181.9`	Specific heat capacity at constant pressure
`String`	`extraPropertiesNames[:]`	`fill("", 0)`	Names of the additional (extra) transported properties. Set extraPropertiesNames=fill("",0) if unused
`final` `Boolean`	`fixedX`	`true`	= true if medium contains the equation X = reference_X
`SpecificEnthalpy`	`h_default`	`specificEnthalpy_pTX(p_default, T_default, X_default)`	Default value for specific enthalpy of medium (for initialization)
`IsothermalCompressibility`	`kappa_const`	`4.5154e-10`	Isothermal compressibility
`String`	`mediumName`	`"Linear cold water"`	Name of the medium
`MolarMass`	`MM_const`	`0.018015268`	Molar mass
`final` `Integer`	`nC`	`size(extraPropertiesNames, 1)`	Number of extra (outside of standard mass-balance) transported properties
`final` `Integer`	`nS`	`size(substanceNames, 1)`	Number of substances
`Integer`	`nX`	`nS`	Number of mass fractions
`Integer`	`nXi`	`if fixedX then 0 else if reducedX then nS - 1 else nS`	Number of structurally independent mass fractions (see docu for details)
`AbsolutePressure`	`p_default`	`101325`	Default value for pressure of medium (for initialization)
`final` `Boolean`	`reducedX`	`true`	= true if medium contains the equation sum(X) = 1.0; set reducedX=true if only one substance (see docu for details)
`Density`	`reference_d`	`997.05`	Density in reference conditions
`SpecificEnthalpy`	`reference_h`	`104929`	Specific enthalpy in reference conditions
`AbsolutePressure`	`reference_p`	`101325`	Reference pressure of Medium: default 1 atmosphere
`SpecificEntropy`	`reference_s`	`100`	Specific entropy in reference conditions
`Temperature`	`reference_T`	`278.15`	Reference temperature of Medium: default 25 deg Celsius
`MassFraction`	`reference_X[nX]`	`fill(nX ^ (-1), nX)`	Default mass fractions of medium
`Boolean`	`singleState`	`false`	= true, if u and d are not a function of pressure
`String`	`substanceNames[:]`	`{mediumName}`	Names of the mixture substances. Set substanceNames={mediumName} if only one substance.
`Temperature`	`T_default`	`Modelica.SIunits.Conversions.from_degC(20)`	Default value for temperature of medium (for initialization)
`IndependentVariables`	`ThermoStates`	`Modelica.Media.Interfaces.Choices.IndependentVariables.pTX`	Enumeration type for independent variables
`MassFraction`	`X_default[nX]`	`reference_X`	Default value for mass fractions of medium (for initialization)

Type Modelica.Media.CompressibleLiquids.LinearColdWater.AbsolutePressure
Type for absolute pressure with medium specific attributes

Extends from Modelica.SIunits.AbsolutePressure.

Attributes

Name	Value
`quantity`	`"Pressure"`
`unit`	`"Pa"`
`displayUnit`	`"bar"`
`min`	`0`
`max`	`1e+8`
`start`	`100000`
`nominal`	`100000`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.Density
Type for density with medium specific attributes

Extends from Modelica.SIunits.Density.

Attributes

Name	Value
`quantity`	`"Density"`
`unit`	`"kg/m3"`
`displayUnit`	`"g/cm3"`
`min`	`0`
`max`	`100000`
`start`	`1`
`nominal`	`1`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.DynamicViscosity
Type for dynamic viscosity with medium specific attributes

Extends from Modelica.SIunits.DynamicViscosity.

Attributes

Name	Value
`quantity`	`"DynamicViscosity"`
`unit`	`"Pa.s"`
`min`	`0`
`max`	`1e+8`
`start`	`0.001`
`nominal`	`0.001`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.EnthalpyFlowRate
Type for enthalpy flow rate with medium specific attributes

Extends from Modelica.SIunits.EnthalpyFlowRate.

Attributes

Name	Value
`quantity`	`"EnthalpyFlowRate"`
`unit`	`"W"`
`min`	`-1e+8`
`max`	`1e+8`
`start`	`0.`
`nominal`	`1000`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.MassFraction
Type for mass fraction with medium specific attributes

Extends from Real.

Attributes

Name	Value
`quantity`	`"MassFraction"`
`unit`	`"kg/kg"`
`min`	`0`
`max`	`1`
`start`	`0.`
`nominal`	`0.1`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.MoleFraction
Type for mole fraction with medium specific attributes

Extends from Real.

Attributes

Name	Value
`quantity`	`"MoleFraction"`
`unit`	`"mol/mol"`
`min`	`0`
`max`	`1`
`start`	`0.`
`nominal`	`0.1`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.MolarMass
Type for molar mass with medium specific attributes

Extends from Modelica.SIunits.MolarMass.

Attributes

Name	Value
`quantity`	`"MolarMass"`
`unit`	`"kg/mol"`
`min`	`0.001`
`max`	`0.25`
`start`	`0.`
`nominal`	`0.032`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.MolarVolume
Type for molar volume with medium specific attributes

Extends from Modelica.SIunits.MolarVolume.

Attributes

Name	Value
`quantity`	`"MolarVolume"`
`unit`	`"m3/mol"`
`min`	`1e-6`
`max`	`1000000`
`start`	`0.`
`nominal`	`1`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.IsentropicExponent
Type for isentropic exponent with medium specific attributes

Extends from Modelica.SIunits.RatioOfSpecificHeatCapacities.

Attributes

Name	Value
`quantity`	`"RatioOfSpecificHeatCapacities"`
`unit`	`"1"`
`min`	`1`
`max`	`500000`
`start`	`1.2`
`nominal`	`1.2`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.SpecificEnergy
Type for specific energy with medium specific attributes

Extends from Modelica.SIunits.SpecificEnergy.

Attributes

Name	Value
`quantity`	`"SpecificEnergy"`
`unit`	`"J/kg"`
`min`	`-1e+8`
`max`	`1e+8`
`start`	`0.`
`nominal`	`1000000`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.SpecificInternalEnergy
Type for specific internal energy with medium specific attributes

Extends from Modelica.Media.CompressibleLiquids.LinearColdWater.SpecificEnergy (Type for specific energy with medium specific attributes).

Attributes

Name	Value
`quantity`	`"SpecificEnergy"`
`unit`	`"J/kg"`
`min`	`-1e+8`
`max`	`1e+8`
`start`	`0.`
`nominal`	`1000000`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.SpecificEnthalpy
Type for specific enthalpy with medium specific attributes

Extends from Modelica.SIunits.SpecificEnthalpy.

Attributes

Name	Value
`quantity`	`"SpecificEnergy"`
`unit`	`"J/kg"`
`min`	`-1e+10`
`max`	`1e+10`
`start`	`0.`
`nominal`	`1000000`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.SpecificEntropy
Type for specific entropy with medium specific attributes

Extends from Modelica.SIunits.SpecificEntropy.

Attributes

Name	Value
`quantity`	`"SpecificEntropy"`
`unit`	`"J/(kg.K)"`
`min`	`-1e+7`
`max`	`1e+7`
`start`	`0.`
`nominal`	`1000`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.SpecificHeatCapacity
Type for specific heat capacity with medium specific attributes

Extends from Modelica.SIunits.SpecificHeatCapacity.

Attributes

Name	Value
`quantity`	`"SpecificHeatCapacity"`
`unit`	`"J/(kg.K)"`
`min`	`0`
`max`	`1e+7`
`start`	`1000`
`nominal`	`1000`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.SurfaceTension
Type for surface tension with medium specific attributes

Extends from Modelica.SIunits.SurfaceTension.

Attributes

Name	Value
`quantity`	`"SurfaceTension"`
`unit`	`"N/m"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.Temperature
Type for temperature with medium specific attributes

Extends from Modelica.SIunits.Temperature.

Attributes

Name	Value
`quantity`	`"ThermodynamicTemperature"`
`unit`	`"K"`
`displayUnit`	`"degC"`
`min`	`1`
`max`	`10000`
`start`	`288.15`
`nominal`	`300`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.ThermalConductivity
Type for thermal conductivity with medium specific attributes

Extends from Modelica.SIunits.ThermalConductivity.

Attributes

Name	Value
`quantity`	`"ThermalConductivity"`
`unit`	`"W/(m.K)"`
`min`	`0`
`max`	`500`
`start`	`1`
`nominal`	`1`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.PrandtlNumber
Type for Prandtl number with medium specific attributes

Extends from Modelica.SIunits.PrandtlNumber.

Attributes

Name	Value
`quantity`	`"PrandtlNumber"`
`unit`	`"1"`
`min`	`0.001`
`max`	`100000`
`start`	`0.`
`nominal`	`1`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.VelocityOfSound
Type for velocity of sound with medium specific attributes

Extends from Modelica.SIunits.Velocity.

Attributes

Name	Value
`quantity`	`"Velocity"`
`unit`	`"m/s"`
`min`	`0`
`max`	`100000`
`start`	`1000`
`nominal`	`1000`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.ExtraProperty
Type for unspecified, mass-specific property transported by flow

Extends from Real.

Attributes

Name	Value
`min`	`0`
`max`	`Modelica.Constants.inf`
`start`	`1`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.CumulativeExtraProperty
Type for conserved integral of unspecified, mass specific property

Extends from Real.

Attributes

Name	Value
`min`	`0`
`max`	`Modelica.Constants.inf`
`start`	`1`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.ExtraPropertyFlowRate
Type for flow rate of unspecified, mass-specific property

Extends from Real.

Attributes

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

Type Modelica.Media.CompressibleLiquids.LinearColdWater.IsobaricExpansionCoefficient
Type for isobaric expansion coefficient with medium specific attributes

Extends from Real.

Attributes

Name	Value
`unit`	`"1/K"`
`min`	`0`
`max`	`1e+8`
`start`	`0.`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.DipoleMoment
Type for dipole moment with medium specific attributes

Extends from Real.

Attributes

Name	Value
`quantity`	`"ElectricDipoleMoment"`
`unit`	`"debye"`
`min`	`0`
`max`	`2`
`start`	`0.`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.DerDensityByPressure
Type for partial derivative of density with respect to pressure with medium specific attributes

Extends from Modelica.SIunits.DerDensityByPressure.

Attributes

Name	Value
`unit`	`"s2/m2"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.DerDensityByEnthalpy
Type for partial derivative of density with respect to enthalpy with medium specific attributes

Extends from Modelica.SIunits.DerDensityByEnthalpy.

Attributes

Name	Value
`unit`	`"kg.s2/m5"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.DerEnthalpyByPressure
Type for partial derivative of enthalpy with respect to pressure with medium specific attributes

Extends from Modelica.SIunits.DerEnthalpyByPressure.

Attributes

Name	Value
`unit`	`"J.m.s2/kg2"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.DerDensityByTemperature
Type for partial derivative of density with respect to temperature with medium specific attributes

Extends from Modelica.SIunits.DerDensityByTemperature.

Attributes

Name	Value
`unit`	`"kg/(m3.K)"`
`min`	`-Modelica.Constants.inf`
`max`	`Modelica.Constants.inf`
`start`	`0.`

Type Modelica.Media.CompressibleLiquids.LinearColdWater.DerTemperatureByPressure
Type for partial derivative of temperature with respect to pressure with medium specific attributes

Extends from Real.

Attributes

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

Record Modelica.Media.CompressibleLiquids.LinearColdWater.SaturationProperties
Saturation properties of two phase medium

Information

This icon is indicates a record.

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

Fields

Type	Name	Description
`AbsolutePressure`	`psat`	Saturation pressure
`Temperature`	`Tsat`	Saturation temperature

Record Modelica.Media.CompressibleLiquids.LinearColdWater.FluidLimits
Validity limits for fluid model

Information

The minimum pressure mostly applies to the liquid state only. The minimum density is also arbitrary, but is reasonable for technical applications to limit iterations in non-linear systems. The limits in enthalpy and entropy are used as safeguards in inverse iterations.

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

Fields

Type	Name	Description
`Temperature`	`TMIN`	Minimum temperature
`Temperature`	`TMAX`	Maximum temperature
`Density`	`DMIN`	Minimum density
`Density`	`DMAX`	Maximum density
`AbsolutePressure`	`PMIN`	Minimum pressure
`AbsolutePressure`	`PMAX`	Maximum pressure
`SpecificEnthalpy`	`HMIN`	Minimum enthalpy
`SpecificEnthalpy`	`HMAX`	Maximum enthalpy
`SpecificEntropy`	`SMIN`	Minimum entropy
`SpecificEntropy`	`SMAX`	Maximum entropy

Type Modelica.Media.CompressibleLiquids.LinearColdWater.FixedPhase
Phase of the fluid: 1 for 1-phase, 2 for two-phase, 0 for not known, e.g., interactive use

Extends from Integer.

Attributes

Name	Value
`min`	`0`
`max`	`2`
`start`	`0`

Record Modelica.Media.CompressibleLiquids.LinearColdWater.FluidConstants
Critical, triple, molecular and other standard data of fluid

Information

This icon is indicates a record.

Extends from Modelica.Media.Interfaces.Types.Basic.FluidConstants (Critical, triple, molecular and other standard data of fluid).

Fields

Type	Name	Description
`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

Record Modelica.Media.CompressibleLiquids.LinearColdWater.ThermodynamicState
A selection of variables that uniquely defines the thermodynamic state

Information

This icon is indicates a record.

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

Fields

Type	Name	Description
`AbsolutePressure`	`p`	Absolute pressure of medium
`Temperature`	`T`	Temperature of medium

Model Modelica.Media.CompressibleLiquids.LinearColdWater.BaseProperties
Base properties of medium

Information

Model BaseProperties is a model within package PartialMedium and contains the declarations of the minimum number of variables that every medium model is supposed to support. A specific medium inherits from model BaseProperties and provides the equations for the basic properties.

The BaseProperties model contains the following 7+nXi variables (nXi is the number of independent mass fractions defined in package PartialMedium):

Variable	Unit	Description
T	K	temperature
p	Pa	absolute pressure
d	kg/m3	density
h	J/kg	specific enthalpy
u	J/kg	specific internal energy
Xi[nXi]	kg/kg	independent mass fractions m_i/m
R	J/kg.K	gas constant
M	kg/mol	molar mass

In order to implement an actual medium model, one can extend from this base model and add 5 equations that provide relations among these variables. Equations will also have to be added in order to set all the variables within the ThermodynamicState record state.

If standardOrderComponents=true, the full composition vector X[nX] is determined by the equations contained in this base class, depending on the independent mass fraction vector Xi[nXi].

Additional 2 + nXi equations will have to be provided when using the BaseProperties model, in order to fully specify the thermodynamic conditions. The input connector qualifier applied to p, h, and nXi indirectly declares the number of missing equations, permitting advanced equation balance checking by Modelica tools. Please note that this doesn't mean that the additional equations should be connection equations, nor that exactly those variables should be supplied, in order to complete the model. For further information, see the Modelica.Media User's guide, and Section 4.7 (Balanced Models) of the Modelica 3.0 specification.

Extends from Modelica.Media.Interfaces.PartialPureSubstance.BaseProperties.

Parameters

Type	Name	Default	Description
`Boolean`	`preferredMediumStates`	`false`	= true if StateSelect.prefer shall be used for the independent property variables of the medium
`final` `Boolean`	`standardOrderComponents`	`true`	If true, and reducedX = true, the last element of X will be computed from the other ones

Connectors

Type	Name	Description
`input` `InputAbsolutePressure`	`p`	Absolute pressure of medium
`input` `InputMassFraction`	`Xi[nXi]`	Structurally independent mass fractions
`input` `InputSpecificEnthalpy`	`h`	Specific enthalpy of medium

Function Modelica.Media.CompressibleLiquids.LinearColdWater.setState_pTX
Set the thermodynamic state record from p and T (X not needed)

Information

This icon indicates Modelica functions.

Extends from Modelica.Media.Interfaces.PartialPureSubstance.setState_pTX (Return thermodynamic state as function of p, T and composition X or Xi).

Inputs

Type	Name	Description
`AbsolutePressure`	`p`	Pressure
`Temperature`	`T`	Temperature
`MassFraction`	`X[:]`	Mass fractions

Outputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Function Modelica.Media.CompressibleLiquids.LinearColdWater.setState_phX
Set the thermodynamic state record from p and h (X not needed)

Information

This icon indicates Modelica functions.

Extends from Modelica.Media.Interfaces.PartialPureSubstance.setState_phX (Return thermodynamic state as function of p, h and composition X or Xi).

Inputs

Type	Name	Description
`AbsolutePressure`	`p`	Pressure
`SpecificEnthalpy`	`h`	Specific enthalpy
`MassFraction`	`X[:]`	Mass fractions

Outputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Function Modelica.Media.CompressibleLiquids.LinearColdWater.setState_psX
Set the thermodynamic state record from p and s (X not needed)

Information

This icon indicates Modelica functions.

Extends from Modelica.Media.Interfaces.PartialPureSubstance.setState_psX (Return thermodynamic state as function of p, s and composition X or Xi).

Inputs

Type	Name	Description
`AbsolutePressure`	`p`	Pressure
`SpecificEntropy`	`s`	Specific entropy
`MassFraction`	`X[:]`	Mass fractions

Outputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Function Modelica.Media.CompressibleLiquids.LinearColdWater.setState_dTX
Set the thermodynamic state record from d and T (X not needed)

Information

This icon indicates Modelica functions.

Extends from Modelica.Media.Interfaces.PartialPureSubstance.setState_dTX (Return thermodynamic state as function of d, T and composition X or Xi).

Inputs

Type	Name	Description
`Density`	`d`	Density
`Temperature`	`T`	Temperature
`MassFraction`	`X[:]`	Mass fractions

Outputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Function Modelica.Media.CompressibleLiquids.LinearColdWater.setSmoothState
Return thermodynamic state so that it smoothly approximates: if x > 0 then state_a else state_b

Information

This function is used to approximate the equation

    state = if x > 0 then state_a else state_b;

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

   state := smooth(1, if x >  x_small then state_a else
                      if x < -x_small then state_b else f(state_a, state_b));

This is performed by applying function Media.Common.smoothStep(..) on every element of the thermodynamic state record.

If mass fractions X[:] are approximated with this function then this can be performed for all nX mass fractions, instead of applying it for nX-1 mass fractions and computing the last one by the mass fraction constraint sum(X)=1. The reason is that the approximating function has the property that sum(state.X) = 1, provided sum(state_a.X) = sum(state_b.X) = 1. This can be shown by evaluating the approximating function in the abs(x) < x_small region (otherwise state.X is either state_a.X or state_b.X):

    X[1]  = smoothStep(x, X_a[1] , X_b[1] , x_small);
    X[2]  = smoothStep(x, X_a[2] , X_b[2] , x_small);
       ...
    X[nX] = smoothStep(x, X_a[nX], X_b[nX], x_small);

    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.Media.Interfaces.PartialPureSubstance.setSmoothState (Return thermodynamic state so that it smoothly approximates: if x > 0 then state_a else state_b).

Inputs

Type	Name	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)

Function Modelica.Media.CompressibleLiquids.LinearColdWater.dynamicViscosity
Dynamic viscosity of water

Information

This icon indicates Modelica functions.

Extends from Modelica.Media.Interfaces.PartialLinearFluid.dynamicViscosity (Return dynamic viscosity).

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`DynamicViscosity`	`eta`	Dynamic viscosity

Function Modelica.Media.CompressibleLiquids.LinearColdWater.thermalConductivity
Thermal conductivity of water

Information

This icon indicates Modelica functions.

Extends from Modelica.Media.Interfaces.PartialLinearFluid.thermalConductivity (Return thermal conductivity).

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`ThermalConductivity`	`lambda`	Thermal conductivity

Function Modelica.Media.CompressibleLiquids.LinearColdWater.prandtlNumber
Return the Prandtl number

Information

This icon indicates Modelica functions.

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

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`PrandtlNumber`	`Pr`	Prandtl number

Function Modelica.Media.CompressibleLiquids.LinearColdWater.pressure
Return the pressure from the thermodynamic state

Information

This icon indicates Modelica functions.

Extends from Modelica.Media.Interfaces.PartialPureSubstance.pressure (Return pressure).

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`AbsolutePressure`	`p`	Pressure

Function Modelica.Media.CompressibleLiquids.LinearColdWater.temperature
Return the temperature from the thermodynamic state

Information

This icon indicates Modelica functions.

Extends from Modelica.Media.Interfaces.PartialPureSubstance.temperature (Return temperature).

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`Temperature`	`T`	Temperature

Function Modelica.Media.CompressibleLiquids.LinearColdWater.density
Return the density from the thermodynamic state

Information

This icon indicates Modelica functions.

Extends from Modelica.Media.Interfaces.PartialPureSubstance.density (Return density).

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`Density`	`d`	Density

Function Modelica.Media.CompressibleLiquids.LinearColdWater.specificEnthalpy
Return the specific enthalpy from the thermodynamic state

Information

This icon indicates Modelica functions.

Extends from Modelica.Media.Interfaces.PartialPureSubstance.specificEnthalpy (Return specific enthalpy).

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`SpecificEnthalpy`	`h`	Specific enthalpy

Function Modelica.Media.CompressibleLiquids.LinearColdWater.specificInternalEnergy
Return the specific internal energy from the thermodynamic state

Information

This icon indicates Modelica functions.

Extends from Modelica.Media.Interfaces.PartialPureSubstance.specificInternalEnergy (Return specific internal energy).

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`SpecificEnergy`	`u`	Specific internal energy

Function Modelica.Media.CompressibleLiquids.LinearColdWater.specificEntropy
Return the specific entropy from the thermodynamic state

Information

This icon indicates Modelica functions.

Extends from Modelica.Media.Interfaces.PartialPureSubstance.specificEntropy (Return specific entropy).

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`SpecificEntropy`	`s`	Specific entropy

Function Modelica.Media.CompressibleLiquids.LinearColdWater.specificGibbsEnergy
Return specific Gibbs energy from the thermodynamic state

Information

This icon indicates Modelica functions.

Extends from Modelica.Media.Interfaces.PartialPureSubstance.specificGibbsEnergy (Return specific Gibbs energy) and Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`SpecificEnergy`	`g`	Specific Gibbs energy

Function Modelica.Media.CompressibleLiquids.LinearColdWater.specificHelmholtzEnergy
Return specific Helmholtz energy from the thermodynamic state

Information

This icon indicates Modelica functions.

Extends from Modelica.Media.Interfaces.PartialPureSubstance.specificHelmholtzEnergy (Return specific Helmholtz energy) and Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`SpecificEnergy`	`f`	Specific Helmholtz energy

Function Modelica.Media.CompressibleLiquids.LinearColdWater.specificHeatCapacityCp
Return specific heat capacity at constant volume

Information

This icon indicates Modelica functions.

Extends from Modelica.Media.Interfaces.PartialPureSubstance.specificHeatCapacityCp (Return specific heat capacity at constant pressure).

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`SpecificHeatCapacity`	`cp`	Specific heat capacity at constant pressure

Function Modelica.Media.CompressibleLiquids.LinearColdWater.heatCapacity_cp
Alias for deprecated name

Information

This icon indicates Modelica functions.

Extends from Modelica.Media.CompressibleLiquids.LinearColdWater.specificHeatCapacityCp (Return specific heat capacity at constant volume).

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`SpecificHeatCapacity`	`cp`	Specific heat capacity at constant pressure

Function Modelica.Media.CompressibleLiquids.LinearColdWater.specificHeatCapacityCv
Return specific heat capacity at constant volume from the thermodynamic state

Information

This icon indicates Modelica functions.

Extends from Modelica.Media.Interfaces.PartialPureSubstance.specificHeatCapacityCv (Return specific heat capacity at constant volume).

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`SpecificHeatCapacity`	`cv`	Specific heat capacity at constant volume

Function Modelica.Media.CompressibleLiquids.LinearColdWater.heatCapacity_cv
Alias for deprecated name

Information

This icon indicates Modelica functions.

Extends from Modelica.Media.CompressibleLiquids.LinearColdWater.specificHeatCapacityCv (Return specific heat capacity at constant volume from the thermodynamic state).

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`SpecificHeatCapacity`	`cv`	Specific heat capacity at constant volume

Function Modelica.Media.CompressibleLiquids.LinearColdWater.isentropicExponent
Return isentropic exponent from the thermodynamic state

Information

This icon indicates Modelica functions.

Extends from Modelica.Media.Interfaces.PartialPureSubstance.isentropicExponent (Return isentropic exponent) and Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`IsentropicExponent`	`gamma`	Isentropic exponent

Function Modelica.Media.CompressibleLiquids.LinearColdWater.isentropicEnthalpy
Return isentropic enthalpy

Information

A minor approximation is used: the reference density is used instead of the real one, which would require a numeric solution.

Extends from Modelica.Media.Interfaces.PartialPureSubstance.isentropicEnthalpy (Return isentropic enthalpy).

Inputs

Type	Name	Description
`AbsolutePressure`	`p_downstream`	Downstream pressure
`ThermodynamicState`	`refState`	Reference state for entropy

Outputs

Type	Name	Description
`SpecificEnthalpy`	`h_is`	Isentropic enthalpy

Function Modelica.Media.CompressibleLiquids.LinearColdWater.velocityOfSound
Return velocity of sound from the thermodynamic state

Information

This icon indicates Modelica functions.

Extends from Modelica.Media.Interfaces.PartialPureSubstance.velocityOfSound (Return velocity of sound) and Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`VelocityOfSound`	`a`	Velocity of sound

Function Modelica.Media.CompressibleLiquids.LinearColdWater.isobaricExpansionCoefficient
Return the isobaric expansion coefficient

Information

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

Extends from Modelica.Media.Interfaces.PartialPureSubstance.isobaricExpansionCoefficient (Return overall the isobaric expansion coefficient beta).

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`IsobaricExpansionCoefficient`	`beta`	Isobaric expansion coefficient

Function Modelica.Media.CompressibleLiquids.LinearColdWater.beta
Alias for isobaricExpansionCoefficient for user convenience

Information

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

Extends from Modelica.Media.CompressibleLiquids.LinearColdWater.isobaricExpansionCoefficient (Return the isobaric expansion coefficient).

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`IsobaricExpansionCoefficient`	`beta`	Isobaric expansion coefficient

Function Modelica.Media.CompressibleLiquids.LinearColdWater.isothermalCompressibility
Return the isothermal compressibility kappa

Information


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

Extends from Modelica.Media.Interfaces.PartialPureSubstance.isothermalCompressibility (Return overall the isothermal compressibility factor).

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`IsothermalCompressibility`	`kappa`	Isothermal compressibility

Function Modelica.Media.CompressibleLiquids.LinearColdWater.kappa
Alias of isothermalCompressibility for user convenience

Information


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

Extends from Modelica.Media.CompressibleLiquids.LinearColdWater.isothermalCompressibility (Return the isothermal compressibility kappa).

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`IsothermalCompressibility`	`kappa`	Isothermal compressibility

Function Modelica.Media.CompressibleLiquids.LinearColdWater.density_derp_h
Return density derivative w.r.t. pressure at const specific enthalpy

Information

This icon indicates Modelica functions.

Extends from Modelica.Media.Interfaces.PartialPureSubstance.density_derp_h (Return density derivative w.r.t. pressure at const specific enthalpy).

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`DerDensityByPressure`	`ddph`	Density derivative w.r.t. pressure

Function Modelica.Media.CompressibleLiquids.LinearColdWater.density_derh_p
Return density derivative w.r.t. specific enthalpy at constant pressure

Information

This icon indicates Modelica functions.

Extends from Modelica.Media.Interfaces.PartialPureSubstance.density_derh_p (Return density derivative w.r.t. specific enthalpy at constant pressure).

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`DerDensityByEnthalpy`	`ddhp`	Density derivative w.r.t. specific enthalpy

Function Modelica.Media.CompressibleLiquids.LinearColdWater.density_derp_T
Return density derivative w.r.t. pressure at const temperature

Information

This icon indicates Modelica functions.

Extends from Modelica.Media.Interfaces.PartialPureSubstance.density_derp_T (Return density derivative w.r.t. pressure at const temperature).

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`DerDensityByPressure`	`ddpT`	Density derivative w.r.t. pressure

Function Modelica.Media.CompressibleLiquids.LinearColdWater.density_derT_p
Return density derivative w.r.t. temperature at constant pressure

Information

This icon indicates Modelica functions.

Extends from Modelica.Media.Interfaces.PartialPureSubstance.density_derT_p (Return density derivative w.r.t. temperature at constant pressure).

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`DerDensityByTemperature`	`ddTp`	Density derivative w.r.t. temperature

Function Modelica.Media.CompressibleLiquids.LinearColdWater.density_derX
Returns the partial derivative of density with respect to mass fractions at constant pressure and temperature

Information

This icon indicates Modelica functions.

Extends from Modelica.Media.Interfaces.PartialPureSubstance.density_derX (Return density derivative w.r.t. mass fraction).

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`Density`	`dddX[nX]`	Derivative of density w.r.t. mass fraction

Function Modelica.Media.CompressibleLiquids.LinearColdWater.molarMass
Return molar mass

Information

This icon indicates Modelica functions.

Extends from Modelica.Media.Interfaces.PartialPureSubstance.molarMass (Return the molar mass of the medium).

Inputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Outputs

Type	Name	Description
`MolarMass`	`MM`	Mixture molar mass

Function Modelica.Media.CompressibleLiquids.LinearColdWater.specificEnthalpy_pTX
Return specific enthalpy from p, T, and X or Xi

Information

This icon indicates Modelica functions.

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

Inputs

Type	Name	Description
`AbsolutePressure`	`p`	Pressure
`Temperature`	`T`	Temperature
`MassFraction`	`X[:]`	Mass fractions

Outputs

Type	Name	Description
`SpecificEnthalpy`	`h`	Specific enthalpy

Function Modelica.Media.CompressibleLiquids.LinearColdWater.specificEntropy_pTX
Return specific enthalpy from p, T, and X or Xi

Information

This icon indicates Modelica functions.

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

Inputs

Type	Name	Description
`AbsolutePressure`	`p`	Pressure
`Temperature`	`T`	Temperature
`MassFraction`	`X[:]`	Mass fractions

Outputs

Type	Name	Description
`SpecificEntropy`	`s`	Specific entropy

Function Modelica.Media.CompressibleLiquids.LinearColdWater.density_pTX
Return density from p, T, and X or Xi

Information

This icon indicates Modelica functions.

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

Inputs

Type	Name	Description
`AbsolutePressure`	`p`	Pressure
`Temperature`	`T`	Temperature
`MassFraction`	`X[:]`	Mass fractions

Outputs

Type	Name	Description
`Density`	`d`	Density

Function Modelica.Media.CompressibleLiquids.LinearColdWater.temperature_phX
Return temperature from p, h, and X or Xi

Information

This icon indicates Modelica functions.

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

Inputs

Type	Name	Description
`AbsolutePressure`	`p`	Pressure
`SpecificEnthalpy`	`h`	Specific enthalpy
`MassFraction`	`X[:]`	Mass fractions

Outputs

Type	Name	Description
`Temperature`	`T`	Temperature

Function Modelica.Media.CompressibleLiquids.LinearColdWater.density_phX
Return density from p, h, and X or Xi

Information

This icon indicates Modelica functions.

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

Inputs

Type	Name	Description
`AbsolutePressure`	`p`	Pressure
`SpecificEnthalpy`	`h`	Specific enthalpy
`MassFraction`	`X[:]`	Mass fractions

Outputs

Type	Name	Description
`Density`	`d`	Density

Function Modelica.Media.CompressibleLiquids.LinearColdWater.temperature_psX
Return temperature from p,s, and X or Xi

Information

This icon indicates Modelica functions.

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

Inputs

Type	Name	Description
`AbsolutePressure`	`p`	Pressure
`SpecificEntropy`	`s`	Specific entropy
`MassFraction`	`X[:]`	Mass fractions

Outputs

Type	Name	Description
`Temperature`	`T`	Temperature

Function Modelica.Media.CompressibleLiquids.LinearColdWater.density_psX
Return density from p, s, and X or Xi

Information

This icon indicates Modelica functions.

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

Inputs

Type	Name	Description
`AbsolutePressure`	`p`	Pressure
`SpecificEntropy`	`s`	Specific entropy
`MassFraction`	`X[:]`	Mass fractions

Outputs

Type	Name	Description
`Density`	`d`	Density

Function Modelica.Media.CompressibleLiquids.LinearColdWater.specificEnthalpy_psX
Return specific enthalpy from p, s, and X or Xi

Information

This icon indicates Modelica functions.

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

Inputs

Type	Name	Description
`AbsolutePressure`	`p`	Pressure
`SpecificEntropy`	`s`	Specific entropy
`MassFraction`	`X[:]`	Mass fractions

Outputs

Type	Name	Description
`SpecificEnthalpy`	`h`	Specific enthalpy

Type Modelica.Media.CompressibleLiquids.LinearColdWater.MassFlowRate
Type for mass flow rate with medium specific attributes

Extends from Modelica.SIunits.MassFlowRate.

Attributes

Name	Value
`quantity`	`"MassFlowRate." + mediumName`
`unit`	`"kg/s"`
`min`	`-100000`
`max`	`100000`
`start`	`0.`

Function Modelica.Media.CompressibleLiquids.LinearColdWater.setState_pT
Return thermodynamic state from p and T

Information

This icon indicates Modelica functions.

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

Inputs

Type	Name	Description
`AbsolutePressure`	`p`	Pressure
`Temperature`	`T`	Temperature

Outputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Function Modelica.Media.CompressibleLiquids.LinearColdWater.setState_ph
Return thermodynamic state from p and h

Information

This icon indicates Modelica functions.

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

Inputs

Type	Name	Description
`AbsolutePressure`	`p`	Pressure
`SpecificEnthalpy`	`h`	Specific enthalpy

Outputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Function Modelica.Media.CompressibleLiquids.LinearColdWater.setState_ps
Return thermodynamic state from p and s

Information

This icon indicates Modelica functions.

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

Inputs

Type	Name	Description
`AbsolutePressure`	`p`	Pressure
`SpecificEntropy`	`s`	Specific entropy

Outputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Function Modelica.Media.CompressibleLiquids.LinearColdWater.setState_dT
Return thermodynamic state from d and T

Information

This icon indicates Modelica functions.

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

Inputs

Type	Name	Description
`Density`	`d`	Density
`Temperature`	`T`	Temperature

Outputs

Type	Name	Description
`ThermodynamicState`	`state`	Thermodynamic state record

Function Modelica.Media.CompressibleLiquids.LinearColdWater.density_ph
Return density from p and h

Information

This icon indicates Modelica functions.

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

Inputs

Type	Name	Description
`AbsolutePressure`	`p`	Pressure
`SpecificEnthalpy`	`h`	Specific enthalpy

Outputs

Type	Name	Description
`Density`	`d`	Density

Function Modelica.Media.CompressibleLiquids.LinearColdWater.temperature_ph
Return temperature from p and h

Information

This icon indicates Modelica functions.

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

Inputs

Type	Name	Description
`AbsolutePressure`	`p`	Pressure
`SpecificEnthalpy`	`h`	Specific enthalpy

Outputs

Type	Name	Description
`Temperature`	`T`	Temperature

Function Modelica.Media.CompressibleLiquids.LinearColdWater.pressure_dT
Return pressure from d and T

Information

This icon indicates Modelica functions.

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

Inputs

Type	Name	Description
`Density`	`d`	Density
`Temperature`	`T`	Temperature

Outputs

Type	Name	Description
`AbsolutePressure`	`p`	Pressure

Function Modelica.Media.CompressibleLiquids.LinearColdWater.specificEnthalpy_dT
Return specific enthalpy from d and T

Information

This icon indicates Modelica functions.

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

Inputs

Type	Name	Description
`Density`	`d`	Density
`Temperature`	`T`	Temperature

Outputs

Type	Name	Description
`SpecificEnthalpy`	`h`	Specific enthalpy

Function Modelica.Media.CompressibleLiquids.LinearColdWater.specificEnthalpy_ps
Return specific enthalpy from p and s

Information

This icon indicates Modelica functions.

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

Inputs

Type	Name	Description
`AbsolutePressure`	`p`	Pressure
`SpecificEntropy`	`s`	Specific entropy

Outputs

Type	Name	Description
`SpecificEnthalpy`	`h`	Specific enthalpy

Function Modelica.Media.CompressibleLiquids.LinearColdWater.temperature_ps
Return temperature from p and s

Information

This icon indicates Modelica functions.

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

Inputs

Type	Name	Description
`AbsolutePressure`	`p`	Pressure
`SpecificEntropy`	`s`	Specific entropy

Outputs

Type	Name	Description
`Temperature`	`T`	Temperature

Function Modelica.Media.CompressibleLiquids.LinearColdWater.density_ps
Return density from p and s

Information

This icon indicates Modelica functions.

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

Inputs

Type	Name	Description
`AbsolutePressure`	`p`	Pressure
`SpecificEntropy`	`s`	Specific entropy

Outputs

Type	Name	Description
`Density`	`d`	Density

Function Modelica.Media.CompressibleLiquids.LinearColdWater.specificEnthalpy_pT
Return specific enthalpy from p and T

Information

This icon indicates Modelica functions.

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

Inputs

Type	Name	Description
`AbsolutePressure`	`p`	Pressure
`Temperature`	`T`	Temperature

Outputs

Type	Name	Description
`SpecificEnthalpy`	`h`	Specific enthalpy

Function Modelica.Media.CompressibleLiquids.LinearColdWater.density_pT
Return density from p and T

Information

This icon indicates Modelica functions.

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

Inputs

Type	Name	Description
`AbsolutePressure`	`p`	Pressure
`Temperature`	`T`	Temperature

Outputs

Type	Name	Description
`Density`	`d`	Density

Function Modelica.Media.CompressibleLiquids.LinearColdWater.T_ph
Return temperature from pressure and specific enthalpy

Information

This icon indicates Modelica functions.

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

Inputs

Type	Name	Description
`SpecificEnthalpy`	`h`	Specific enthalpy
`AbsolutePressure`	`p`	Pressure

Outputs

Type	Name	Description
`Temperature`	`T`	Temperature

Function Modelica.Media.CompressibleLiquids.LinearColdWater.T_ps
Return temperature from pressure and specific entropy

Information

This icon indicates Modelica functions.

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

Inputs

Type	Name	Description
`AbsolutePressure`	`p`	Pressure
`SpecificEntropy`	`s`	Specific entropy

Outputs

Type	Name	Description
`Temperature`	`T`	Temperature

Package Modelica.​Media.​CompressibleLiquids.​LinearColdWaterCold water model with linear compressibility

Information

Linear Compressibility Fluid Model

Efficiency considerations

Package Contents

Package Constants

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​AbsolutePressureType for absolute pressure with medium specific attributes

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​DensityType for density with medium specific attributes

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​DynamicViscosityType for dynamic viscosity with medium specific attributes

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​EnthalpyFlowRateType for enthalpy flow rate with medium specific attributes

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​MassFractionType for mass fraction with medium specific attributes

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​MoleFractionType for mole fraction with medium specific attributes

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​MolarMassType for molar mass with medium specific attributes

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​MolarVolumeType for molar volume with medium specific attributes

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​IsentropicExponentType for isentropic exponent with medium specific attributes

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​SpecificEnergyType for specific energy with medium specific attributes

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​SpecificInternalEnergyType for specific internal energy with medium specific attributes

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​SpecificEnthalpyType for specific enthalpy with medium specific attributes

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​SpecificEntropyType for specific entropy with medium specific attributes

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​SpecificHeatCapacityType for specific heat capacity with medium specific attributes

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​SurfaceTensionType for surface tension with medium specific attributes

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​TemperatureType for temperature with medium specific attributes

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​ThermalConductivityType for thermal conductivity with medium specific attributes

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​PrandtlNumberType for Prandtl number with medium specific attributes

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​VelocityOfSoundType for velocity of sound with medium specific attributes

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​ExtraPropertyType for unspecified, mass-specific property transported by flow

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​CumulativeExtraPropertyType for conserved integral of unspecified, mass specific property

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​ExtraPropertyFlowRateType for flow rate of unspecified, mass-specific property

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​IsobaricExpansionCoefficientType for isobaric expansion coefficient with medium specific attributes

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​DipoleMomentType for dipole moment with medium specific attributes

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​DerDensityByPressureType for partial derivative of density with respect to pressure with medium specific attributes

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​DerDensityByEnthalpyType for partial derivative of density with respect to enthalpy with medium specific attributes

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​DerEnthalpyByPressureType for partial derivative of enthalpy with respect to pressure with medium specific attributes

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​DerDensityByTemperatureType for partial derivative of density with respect to temperature with medium specific attributes

Attributes

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​DerTemperatureByPressureType for partial derivative of temperature with respect to pressure with medium specific attributes

Attributes

Record Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​SaturationPropertiesSaturation properties of two phase medium

Information

Fields

Record Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​FluidLimitsValidity limits for fluid model

Information

Fields

Type Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​FixedPhasePhase of the fluid: 1 for 1-phase, 2 for two-phase, 0 for not known, e.g., interactive use

Attributes

Record Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​FluidConstantsCritical, triple, molecular and other standard data of fluid

Information

Fields

Record Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​ThermodynamicStateA selection of variables that uniquely defines the thermodynamic state

Information

Fields

Model Modelica.​Media.​CompressibleLiquids.​LinearColdWater.​BasePropertiesBase properties of medium

Information

Package Modelica.Media.CompressibleLiquids.LinearColdWater
Cold water model with linear compressibility

Type Modelica.Media.CompressibleLiquids.LinearColdWater.AbsolutePressure
Type for absolute pressure with medium specific attributes

Type Modelica.Media.CompressibleLiquids.LinearColdWater.Density
Type for density with medium specific attributes

Type Modelica.Media.CompressibleLiquids.LinearColdWater.DynamicViscosity
Type for dynamic viscosity with medium specific attributes

Type Modelica.Media.CompressibleLiquids.LinearColdWater.EnthalpyFlowRate
Type for enthalpy flow rate with medium specific attributes

Type Modelica.Media.CompressibleLiquids.LinearColdWater.MassFraction
Type for mass fraction with medium specific attributes

Type Modelica.Media.CompressibleLiquids.LinearColdWater.MoleFraction
Type for mole fraction with medium specific attributes

Type Modelica.Media.CompressibleLiquids.LinearColdWater.MolarMass
Type for molar mass with medium specific attributes

Type Modelica.Media.CompressibleLiquids.LinearColdWater.MolarVolume
Type for molar volume with medium specific attributes

Type Modelica.Media.CompressibleLiquids.LinearColdWater.IsentropicExponent
Type for isentropic exponent with medium specific attributes

Type Modelica.Media.CompressibleLiquids.LinearColdWater.SpecificEnergy
Type for specific energy with medium specific attributes

Type Modelica.Media.CompressibleLiquids.LinearColdWater.SpecificInternalEnergy
Type for specific internal energy with medium specific attributes

Type Modelica.Media.CompressibleLiquids.LinearColdWater.SpecificEnthalpy
Type for specific enthalpy with medium specific attributes

Type Modelica.Media.CompressibleLiquids.LinearColdWater.SpecificEntropy
Type for specific entropy with medium specific attributes

Type Modelica.Media.CompressibleLiquids.LinearColdWater.SpecificHeatCapacity
Type for specific heat capacity with medium specific attributes

Type Modelica.Media.CompressibleLiquids.LinearColdWater.SurfaceTension
Type for surface tension with medium specific attributes

Type Modelica.Media.CompressibleLiquids.LinearColdWater.Temperature
Type for temperature with medium specific attributes

Type Modelica.Media.CompressibleLiquids.LinearColdWater.ThermalConductivity
Type for thermal conductivity with medium specific attributes

Type Modelica.Media.CompressibleLiquids.LinearColdWater.PrandtlNumber
Type for Prandtl number with medium specific attributes

Type Modelica.Media.CompressibleLiquids.LinearColdWater.VelocityOfSound
Type for velocity of sound with medium specific attributes

Type Modelica.Media.CompressibleLiquids.LinearColdWater.ExtraProperty
Type for unspecified, mass-specific property transported by flow

Type Modelica.Media.CompressibleLiquids.LinearColdWater.CumulativeExtraProperty
Type for conserved integral of unspecified, mass specific property

Type Modelica.Media.CompressibleLiquids.LinearColdWater.ExtraPropertyFlowRate
Type for flow rate of unspecified, mass-specific property

Type Modelica.Media.CompressibleLiquids.LinearColdWater.IsobaricExpansionCoefficient
Type for isobaric expansion coefficient with medium specific attributes

Type Modelica.Media.CompressibleLiquids.LinearColdWater.DipoleMoment
Type for dipole moment with medium specific attributes

Type Modelica.Media.CompressibleLiquids.LinearColdWater.DerDensityByPressure
Type for partial derivative of density with respect to pressure with medium specific attributes

Type Modelica.Media.CompressibleLiquids.LinearColdWater.DerDensityByEnthalpy
Type for partial derivative of density with respect to enthalpy with medium specific attributes

Type Modelica.Media.CompressibleLiquids.LinearColdWater.DerEnthalpyByPressure
Type for partial derivative of enthalpy with respect to pressure with medium specific attributes

Type Modelica.Media.CompressibleLiquids.LinearColdWater.DerDensityByTemperature
Type for partial derivative of density with respect to temperature with medium specific attributes

Type Modelica.Media.CompressibleLiquids.LinearColdWater.DerTemperatureByPressure
Type for partial derivative of temperature with respect to pressure with medium specific attributes

Record Modelica.Media.CompressibleLiquids.LinearColdWater.SaturationProperties
Saturation properties of two phase medium

Record Modelica.Media.CompressibleLiquids.LinearColdWater.FluidLimits
Validity limits for fluid model

Type Modelica.Media.CompressibleLiquids.LinearColdWater.FixedPhase
Phase of the fluid: 1 for 1-phase, 2 for two-phase, 0 for not known, e.g., interactive use

Record Modelica.Media.CompressibleLiquids.LinearColdWater.FluidConstants
Critical, triple, molecular and other standard data of fluid

Record Modelica.Media.CompressibleLiquids.LinearColdWater.ThermodynamicState
A selection of variables that uniquely defines the thermodynamic state

Model Modelica.Media.CompressibleLiquids.LinearColdWater.BaseProperties
Base properties of medium

Function Modelica.Media.CompressibleLiquids.LinearColdWater.setState_pTX
Set the thermodynamic state record from p and T (X not needed)

Function Modelica.Media.CompressibleLiquids.LinearColdWater.setState_phX
Set the thermodynamic state record from p and h (X not needed)

Function Modelica.Media.CompressibleLiquids.LinearColdWater.setState_psX
Set the thermodynamic state record from p and s (X not needed)

Function Modelica.Media.CompressibleLiquids.LinearColdWater.setState_dTX
Set the thermodynamic state record from d and T (X not needed)

Function Modelica.Media.CompressibleLiquids.LinearColdWater.setSmoothState
Return thermodynamic state so that it smoothly approximates: if x > 0 then state_a else state_b

Function Modelica.Media.CompressibleLiquids.LinearColdWater.dynamicViscosity
Dynamic viscosity of water

Function Modelica.Media.CompressibleLiquids.LinearColdWater.thermalConductivity
Thermal conductivity of water

Function Modelica.Media.CompressibleLiquids.LinearColdWater.prandtlNumber
Return the Prandtl number

Function Modelica.Media.CompressibleLiquids.LinearColdWater.pressure
Return the pressure from the thermodynamic state

Function Modelica.Media.CompressibleLiquids.LinearColdWater.temperature
Return the temperature from the thermodynamic state

Function Modelica.Media.CompressibleLiquids.LinearColdWater.density
Return the density from the thermodynamic state

Function Modelica.Media.CompressibleLiquids.LinearColdWater.specificEnthalpy
Return the specific enthalpy from the thermodynamic state

Function Modelica.Media.CompressibleLiquids.LinearColdWater.specificInternalEnergy
Return the specific internal energy from the thermodynamic state

Function Modelica.Media.CompressibleLiquids.LinearColdWater.specificEntropy
Return the specific entropy from the thermodynamic state

Function Modelica.Media.CompressibleLiquids.LinearColdWater.specificGibbsEnergy
Return specific Gibbs energy from the thermodynamic state

Function Modelica.Media.CompressibleLiquids.LinearColdWater.specificHelmholtzEnergy
Return specific Helmholtz energy from the thermodynamic state

Function Modelica.Media.CompressibleLiquids.LinearColdWater.specificHeatCapacityCp
Return specific heat capacity at constant volume