• MHD COUETTE FLOW AND HEAT TRANSFER OF A DUSTY COUPLE STRESS FLUID WITH EXPONENTIAL DECAYING PRESSURE GRADIENT

Abstract

In the present study, the unsteady couette flow with heat transfer of a viscous incompressible electrically conducting couple stress fluid under the influence of an exponentially decreasing pressure gradient is studied.  The parallel plates are assumed to porous and subjected to a uniform suction from above and injection from below while the fluid is acted upon by an external uniform magnetic field applied perpendicular to plates.  The equations of motion are solved by using transform technique to get the velocity distributions for the fluid and dust particles. The energy equations for both the fluid and dust particles including the viscous, couple stress parameter Joule dissipation terms are solved by using Mathematica to get temperature distributions.