MAGNETOHYDRODYNAMIC VISCOUS FLUID FLOW PAST A POROUS SPHERE EMBEDDED IN ANOTHER POROUS MEDIUM

摘要

In the present paper, the effect of magnetic field on an incompressible viscous fluid flow past and through a porous sphere embedded in another porous medium at low Reynolds number is studied. The Brinkman equations for the flow inside and outside the porous sphere in their stream function formulations are used. Explicit expressions for the stream function are investigated for both the inside and outside flow regions. A new result for the drag on a porous sphere embedded in another porous medium has been reported. As a particular case, slow viscous flow through a porous sphere embedded in another porous medium is considered and the drag experienced by it is evaluated. An expression for the shearing stress has also been reported. The effect of magnetic field on the drag, shear stress, and stream lines has been presented graphically for different values of parameters and discussed.