.IDEAS.Media.Specialized.Water.TemperatureDependentDensity

Package with model for liquid water with temperature-dependent density

Information

This medium package models liquid water.

The mass density is computed using a 3rd order polynomial, which yields the density as a function of temperature as shown in the figure below. Note, however, that computing density as a function of temperature can lead to considerably slower computing time compared to using IDEAS.Media.Water in which the density is a constant. We therefore recommend to use IDEAS.Media.Water for typical building energy simulations.

Mass density as a function of temperature

For the specific heat capacities at constant pressure and at constant volume, a constant value of 4184 J/(kg K), which corresponds to 20°C is used. The figure below shows the relative error of the specific heat capacity that is introduced by this simplification. Using a constant value for the specific heat capacity allows to compute temperature from enthalpy without having to solve an implicit equation, and therefore leads to faster simulation.

Relative variation of specific heat capacity with temperature

Thermal conductivity is calculated as a function of temperature as shown in the figure below. The correlation used to calculate the thermal conductivity is

λ(T) = λ(298.15 K) ⋅ (-1.48445+4.12292⋅(T/298.15)-1.63866⋅(T/298.15)2),

where λ(298.15 K) = 0.6065 W/(m ⋅ K) is the adopted standard value of the thermal conductivity of water at 298.15 K and 0.1 MPa.

Thermal conductivity as a function of temperature

Dynamic viscosity is calculated as the product of density and kinematic viscosity, both temperature dependent. However, the kinematic viscosity has its own temperature dependent correlation, implemented at IDEAS.Media.Specialized.Water.TemperatureDependentDensity.kinematicViscosity. Results of the kinematic viscosity as a function of temperature are shown in the figure below.

Kinematic viscosity as a function of temperature

The enthalpy is computed using the convention that h=0 if T=0 °C.

Limitations

Phase changes are not modeled.

Contents

Name Description
FluidConstants
ThermodynamicState Thermodynamic state variables
BaseProperties Base properties
density Return the density
dynamicViscosity Return the dynamic viscosity
specificEnthalpy Return the specific enthalpy
enthalpyOfLiquid Return the specific enthalpy of liquid
specificInternalEnergy Return the specific enthalpy
specificEntropy Return the specific entropy
specificGibbsEnergy Return the specific Gibbs energy
specificHelmholtzEnergy Return the specific Helmholtz energy
isentropicEnthalpy Return the isentropic enthalpy
isobaricExpansionCoefficient Return the isobaric expansion coefficient
isothermalCompressibility Return the isothermal compressibility factor
density_derp_T Return the partial derivative of density with respect to pressure at constant temperature
density_derT_p Return the partial derivative of density with respect to temperature at constant pressure
density_derX Return the partial derivative of density with respect to mass fractions at constant pressure and temperature
specificHeatCapacityCp Return the specific heat capacity at constant pressure
specificHeatCapacityCv Return the specific heat capacity at constant volume
thermalConductivity Return the thermal conductivity
pressure Return the pressure
temperature Return the temperature
molarMass Return the molar mass
setState_dTX Return thermodynamic state from d, T, and X or Xi
setState_phX Return the thermodynamic state as function of pressure p, specific enthalpy h and composition X or Xi
setState_pTX Return the thermodynamic state as function of p, T and composition X or Xi
setState_psX Return the thermodynamic state as function of p, s and composition X or Xi

Revisions


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