Unsteady MHD Couette Flow Through a Parallel Plate with Constant Pressure

Abstract

In this paper, the unsteady MHD Couette flow through a porous medium of a viscous incompressible fluid bounded by two parallel porous plates under the influence of thermal radiation and chemical reaction is investigated. A uniform suction and injection are applied perpendicular to the plates while the fluid motion is subjected to constant pressure gradient. The transformed conservation equations are solved analytically subject to physically appropriate boundary conditions by using Eigenfunction expansion technique. The influence of a number of emerging non-dimensional parameters namely, pressure gradient, suction parameter, radiation parameter and Hartman number are examined in detail. It is observed that the primary velocity is increased with increasing pressure gradient while increase in radiation parameter leads to decrease in the thermal profile of the flow.