• TIME DEPENDENT PRESSURE GRADIENT EFFECT ON UNSTEADY MHD COUETTE FLOW AND HEAT TRANSFER OF A COUPLE STRESS FLUID

Abstract

The unsteady Magnetohydrodynamic flow of an electrically conducting viscous incompressible couple stress fluid bounded by two parallel non-conducting porous plates has been studied with heat transfer considering the Hall effect.  The fluid is acted upon by a uniform and exponential decaying pressure gradient. An external uniform magnetic field is applied perpendicular to the plates and the fluid motion is subjected to a uniform suction and injection. The two plates are kept at different but constant temperatures while the Joule and viscous dissipations are taken into consideration. Solutions for the governing momentum and energy equations are obtained using transform technique. The effect of magnetic field, couple stress parameter, unsteady pressure gradient, Hall term and velocity of suction and injection on both the velocity and temperature distribution are examined.