Influence of Porous Resistance on Temperature for Incompressible Flow
When simulating incompressible flow through a porous medium with the energy model activated, a change in temperature proportional to the user-specified porous resistance takes place. This section explains the reason for this temperature change.
Consider a one-dimensional steady incompressible flow of a fluid with constant (specific heat at constant volume) through a porous medium with a constant cross-section. Mass conservation requires that the velocity is constant. Momentum conservation reduces to a balance between the pressure gradient and the porous resistance :
The energy equation reduces to:
and since total enthalpy is , the equation becomes:
Hence, it is normal to expect a temperature increase or decrease for an incompressible flow through a porous medium.