7.6.18.12.19. Porous_Bruggeman_Mixture

Syntax

Thermal Conductivity [{of} SpeciesName] = Porous_Bruggeman_Mixture ([Liquid_Phase_Name = Liquid_Phase_Name] | [Gas_Phase_Name = Gas_Phase_Name] | [Initial_Saturation = Initial_Saturation] | [Melt_Dt = melt_DT] | [Alpha = alpha])

Scope

Aria Material

Summary

Thermal conductivity computed with the Bruggeman mixture model

Description

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

$k = (1-\phi)^\alpha k_s + \phi^\alpha k_l$

where $\phi$ is the porosity, $k_s$ the solid phase conductivity, $k_l$ the liquid phase conductivity, and $\alpha$ the optional parameter that defaults to $1.5$ .

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

$k = (1-\phi)^\alpha k_s + (\phi S_l)^\alpha k_l + (\phi (1-S_l))^\alpha k_g$

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
alpha	real	1.5