An Exact Solution for Stokes Flow in a Channel with Arbitrarily Large Wall Permeability

Abstract

We derive an exact solution for Stokes flow in a channel with permeable walls. At the channel walls, the normal component of the fluid velocity is described by Darcy’s law, and the tangential component of the fluid velocity is described by the no slip condition. The pressure exterior to the channel is assumed to be constant. Although this problem has been… (More)
DOI: 10.1137/140995854

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