A Permeability Function for Brinkman's Equation

摘要

Inlet flow conditions to a two-dimensional channel filled with a porous material are developed when the flow through the channel is governed by Brinkman's equation. The presence of solid, impermeable channel walls gives rise to significant viscous shear effects that can be handled through the introduction of a smooth, variable permeability function. For the sake of comparison, inlet profiles are derived for the cases of flow with constant permeability and flow with variable permeability.