Flow through a finned channel filled with a porous medium

Viscous flow through a channel filled with a porous medium and obstructed by periodic fins is studied analytically. The Darcy–Brinkman equation is solved by series expansion and boundary collocation. The problem is governed by both the porous medium parameter k and the fin geometry. There are no recirculating eddies for parallel flow along the fins, while for transverse flow recirculating cells may exist between the fins, but can be suppressed by increased k. The resistance is smaller (flow larger) if the pressure gradient is along the fins than that transverse to the fins.