STOKES FLOW OF AN INCOMPRESSIBLE MICROPOLAR FLUID PAST A POROUS SPHEROID
In this paper, we study the Stokes flow of an incompressible micropolar fluid past and within an isolated porous spheroid directed along its axis of symmetry. We assume that the flow outside the spheroid is governed by the micropolar fluid flow equations under the Stokesian approximation and that within the porous spheroid by Darcy’s equation. We determine the velocity field microrotation field and the pressure distribution poutside the porous spheroid and also the velocity components and the pressure distribution within the porous region. The expression for the drag on the spheroid is obtained and its variation is studied numerically with respect to the geometric parameter, micropolarity parameter and the permeability constant. It is observed that as the permeability is increasing, the drag on the spheroid is also increasing. For diverse values of the parameters under consideration, the variations in the drag and the stream line pattern are presented through graphs.
porous prolate spheroid, micropolar fluid, permeability constant, prolate angular and radial spheroidal wave functions, stream lines, drag.