7.6.5.15.2. Porous

Syntax

Enthalpy Advection [{of} SpeciesName] = Porous ()

Scope

Aria Material

Summary

Provides the advective term for porous enthalpy equation.

Description

For species $i$ , phase $p$ , this model provides the advective term for the porous enthalpy equation,

$\mathbf{m}_{p} h_{i, p},$

where $h_{i, p}$ is the species enthalpy and $\mathbf{m}_{p}$ is the mass flux for the given phase. The phase mass flux is also provided by this model assuming it was not already provided elsewhere. By default, the non-relative mass flux is provided,

$\mathbf{m}_{p} = \rho_{p} \mathbf{u}_{p},$

which is applicable to problems with or without mesh motion since we automatically include an appropriate volumetric mesh motion correction term to the porous enthalpy equation.

If the use relative mass flux porous flow option is active, the phase mass flux will be relative to the mesh. For phases other than the solid phase, the relative mass flux is

$\mathbf{m}_{p} = \rho_{p} \left(\mathbf{u}_{p} - \phi S_{p} \hat{\mathbf{u}}\right),$

where $\rho_{p}$ is the density of the phase, $\phi$ is the porosity, $S_{p}$ is the optional phase saturation, $\hat{\mathbf{u}}$ is the mesh velocity, and $\mathbf{u}_{p}$ is the phase velocity (e.g., Darcy velocity model). Note if an optional phase saturation is provided, the pore volume is occupied by multiple phases in accordance to their saturations, otherwise the pore volume is fully occupied by a single phase.

For the solid phase, the relative mass flux is

$\mathbf{m}_{i, s} = \rho_{i, s} \left(\mathbf{u}_{s} - \hat{\mathbf{u}}\right).$

For problems involving deformation, the Darcy velocity should be specified relative to the deforming matrix velocity e.g. solid phase. Lastly, if there is no mesh motion, the mesh motion flux will not be included.

Parameter	Value	Default
{of}	{of \| species \| subindex}	–
SpeciesName	string	–