On the steady MHD couette flow between two infinite parallel plates in an uniform transverse magnetic field

Abstract

In this paper we consider laminar viscous incompressible fluid between two infinite parallel plates when the upper plate is moving with constant velocity Uo and the lower plate is held stationary under the influence of inclined magnetic field. The resulting governing partial differential equation is solved by Sumudu Transform and the solution expressed in terms of Hartmann number. The analysis of this shows that, the velocity profile will decrease as the Hartmann number and magnetic inclination increases. This approach can be used to obtain solutions of ordinary differential equations in astronomy, Physics and in controlling engineering problems.