7.6.18.12.21. Porous_Geometric_Mixture

Syntax

Thermal Conductivity [{of} SpeciesName] = Porous_Geometric_Mixture [Liquid_Phase_Name = Liquid_Phase_Name | Gas_Phase_Name = Gas_Phase_Name | Initial_Saturation = Initial_Saturation | Melt_Dt = melt_DT]

Scope

Aria Material

Summary

Thermal conductivity computed geometric mean of phase properties

Description

For two-phase porous media problems (solid and liquid phases only):

$k = k_s^{1-\phi} k_l^\phi$

where $\phi$ is the porosity, $k_s$ the solid phase conductivity, and $k_l$ the liquid phase conductivity.

For three-phase porous media problems (solid, liquid, gas):

$k = k_s^{1-\phi} k_l^{\phi S_l} k_g^{\phi (1-S_l)}$

where $S_l$ is the liquid saturation and $k_g$ the gas phase conductivity.

Note that the optional “liquid_phase_name” and “gas_phase_name” parameters can be used to specify alternate material phase’s supported by Aria for the respective parameters.

The “initial_saturation” and “melt_dt” parameters are for certain thermal battery models, and should be omitted for general use.

Parameter	Value	Default
{of}	{of \| species \| subindex}	–
SpeciesName	string	–
Liquid_Phase_Name	“string”	–
Gas_Phase_Name	“string”	–
Initial_Saturation	real	1
melt_DT	real	5