Non-Newtonian Fluid Flow Past a Porous Sphere Using Darcy's Law

摘要

The present work describes the low Reynolds number flow of an incompressible micropolar fluid past and through a porous sphere placed in a uniform flow. Stokes equation is used for the flow outside the porous sphere and Darcy's law is used in the porous region. The boundary conditions used are the continuity of the normal velocity components, continuity of pressures, Beavers-Joseph slip boundary condition for tangential velocities and zero microrotation at the surface of the porous sphere. The drag force exerted on the porous sphere is determined and its variation versus permeability parameter is studied numerically. The limiting cases of micropolar fluid flow past a solid sphere in an unbounded medium and viscous fluid flow past a porous sphere are obtained from the present analysis.