Non-Newtonian-flow formation in Couette motion in magnetohydrodynamics with time-varying suction

Abstract

This paper is an analysis of an incompressible flow of electrically conducting non-Newtonian fluid between two infinite parallel walls one of them moving with a uniform velocity under the action of a transverse magnetic field. The moving wall is subjected to a suction whose magnitude oscillates with respect to time over a constant mean. In our analysis we are taking into account the induced magnetic field; a matter that is neglected by the majority of the previous work. The main results show that the effect of the viscoelasticity of the fluid is to decrease both the flow and the induced magnetic field.