MHD forced flow of a conducting viscous fluid through a porous medium induced by an imprevious rotating disk

Abstract

The forced flow of an electrically conducting viscous incompressible fluid, due to an infinite impervious rotating disk bounded by porous medium has been investigated. A uniform magnetic field is applied in the direction normal to the flow. It is assumed that the flow between the disk and the porous medium is governed by Navier-Stokes equations and that in the porous medium by Brinkman equations. Flows in the two regions are matched at the interface by assuming that the velocity and stress components are continuous at it. At the interface (porous medium-clear fluid boundary), a modified set of boundary conditions suggested by Ochao-Tapia and Whittaker is applied. Analytical expressions for the velocity and shearing stress are calculated and effects of various parameters upon them are examined