COUETTE-TYPE MHD FLOW WITH SUCTION AND INJECTION UNDER CONSTANT PRESSURE GRADIENT

D.R.Kuiry, Surya Bahadur

Abstract: The unsteady magnetohydrodynamic Couette-type flow of an electrically conducting, viscous and incompressible fluid bounded by two parallel non- conducting porous plates under the influence of a constant pressure gradient and a transversely applied uniform magnetic field is studied with heat transfer. A uniform suction on the upper plate and an injection on the lower plate are applied perpendicularly to the plates keeping the rates of suction and injection the same. The two plates are maintained at different but constant temperatures. The governing nonlinear partial differential equations are solved by both analytical as well as numerical methods. An exact solution for the velocity of the fluid has been obtained by Laplace transform method. The Crank-Nicholson implicit method is used to obtain the unsteady fluid velocity profile. The transient part of the fluid velocity tends to zero as the time t tends to infinity. The energy equation is solved by the finite difference method .The effect of the magnetic field coupled with suction and injection on the velocity and temperature distributions is examined graphically and discussed in the present work.

Keywords: Magnetohydrodynamics, Transverse magnetic field, Suction and injection, Constant pressure gradient, Transient state flow, Crank-Nicholson implicit method, Finite difference method.

DOI: https://doi.org/10.15623/ijret.2015.0404125