A note on the MHD flow in a porous channel

In this paper we study the flow of a viscous incompressible conducting fluid through a corrugated channel filled with a porous medium. The fluid flow in the channel is under the action of the transverse magnetic field and driven by the pressure drop between the channel's edges. Using boundary-layer analysis, we derive a higher-order asymptotic model taking into account the inertia and roughness-induced effects on the filtration velocity.