Darcy-Brinkman flow past a two-dimensional screen

The flow past a screen composed of periodic slats in a plane is Studied. The method of eigenfunction expansions and point match is used to solve the Darcy-Brinkman equations. The velocities, pressures and resistances are determined for the flow in three orthogonal directions. Aside from screen geometry, the flow is governed by a porous media parameter k which is zero for pure viscous flow. The fundamental case for the flow over a single slat is then extrapolated. It is found that for k = 0 the Stokes paradox occurs and the drag rises singularly as k is increased from zero. (C) 2008 Elsevier Masson SAS. All rights reserved.