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