DRAG ON A POROUS SPHERE EMBEDDED IN ANOTHER POROUS MEDIUM

Abstract

This article concerns the solution of the problem of an incompressible viscous fluid flow past a porous sphere embedded in another porous medium. The Brinkman equations for the flow inside and outside the porous sphere in their stream function formulations are used. Explicit expressions of the stream functions and shear stresses for inside and outside flow fields are obtained. The drag force experienced by a porous sphere embedded in another porous medium is also evaluated. The dependence of the drag coefficient and the shearing stress on permeability for a porous sphere is presented graphically and analytically. Special well-known results are then deduced from the analysis.