Flow Of A Viscous Fluid Through A Porous Circular And It’s Surrounding Porous Medium

Abstract

In the present paper, we have studied the viscous flow through a circular pipe which is bounded
by a porous medium fully saturated with viscous fluid in the presence of an applied magnetic field. Two
cases have been taken into account. (i) When porous medium is unbounded (ii) When it is bounded by
another Co-axial impervious circular cylinder. It is assumed that the flow inside the pipe in which a clear
fluid is there, is governed by Navier-stokes equation and in the porous medium outside the cylinder the flow
is given by Brinkmen [4], At the interface of two types of flows, the matching conditions suggested by
Ochoa-Tapia and Whitaker [7] have been followed. The governing equations have been solved and the
solution for velocity in both cases with porous media have been deduced. The results for different values
of magnetic field in both cases have been observed and discussed graphically.