• MAGNETOHYDRODYNAMIC FLOW OF A CONDUCTING VISCO-ELASTIC [RIVLIN-ERICKSEN (1955) MODEL] FLUID THROUGH POROUS MEDIUM IN A LONG UNIFORM RECTANGULAR CHANNEL

Abstract

The flow of a conducting visco-elastic [Rivlin-Ericksen (1955) type] fluid through Porous medium in a long uniform straight tube of rectangular cross-section under the influence of transverse uniform magnetic field has been studied. The flow has been considered under the influence of time varying pressure gradient. Using integral transform technique, the exact solution for velocity of fluid has been obtained. A few particular cases of pressure gradient have been discussed in detail. 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 We have also derived the cases (i) when porous medium is withdrawn i.e. if(ii) when magnetic field is withdrawn i.e. if (iii) when magnetic field and porous medium both are withdrawn i.e. ifboth.