• UNSTEADY MHD FLOW OF CONDUCTING WALTER’S VISCO-ELASTIC FLUID THROUGH POROUS MEDIUM IN A LONG UNIFORM RECTANGULAR CHANNEL

Abstract

The unsteady MHD flow of conducting Walter’s visco-elastic fluid through porous medium in a long uniform straight channel of rectangular cross-section under the influence of time varying pressure gradient and uniform magneticfield applied perpendiculary to the flow of fluid has been studied. The exact solution for the velocity of fluid has been obtained by using integral transform technique. Some particular cases of pressure gradient have been discussed in detail. Also we have discussed the case when porous medium is withdrawn. Besides, the corresponding viscous flow problem has been derived as a limiting case when the relaxation time parameter tends to become zero. We have also derived the cases (i) when porous medium is withdrawn i.e. if K→∞ (ii) when magnetic field is withdrawn i.e. if M→∞ (iii) when magnetic field and porous medium both are withdrawn i.e. M→∞, K→∞ both.