On the structure of the steady-state flow velocity field near the interface between a homogeneous liquid and a Brinkman porous medium

Abstract

The structure of a homogeneous liquid flow at the interface with a porous medium saturated with the same liquid has been studied in the boundary layer approximation. The porous medium is described by the Brinkman model. Self-similar equations of motion in the form of Blasius equation have been found, and their numerical solutions have been presented. An expression for the force exerted by the flow on the porous medium is derived.