Determination of the effects of rotation and varied magnetic field on unsteady Couette flow with injection. Ndungú

Abstract

Unsteady hydromagnetic Couette flow of a viscous incompressible electrically conducting fluid in a rotating system with injection through the lower plate in the presence of a variable transverse magnetic field is studied. The plates are considered porous and fluid flowing past the plates is induced by the movement of the lower plate with the upper plate set stationary. Fluid is injected through the lower plate at a constant velocity. The general solution of the governing equations is obtained from the equation of momentum and magnetic induction equation, which is valid for every value of time t. For small values of time t, the solution of the governing equations is obtained by Implicit Finite Difference method of order two. The fluid considered is electrically conducting. The Finite Difference method of order two and a computer program are employed in solving the non-linear equations in order to generate the velocity profiles and induced magnetic field profiles. The effects of the various parameters entering into the flow problem are presented graphically and discussed. It is found that magnetic field accelerates the fluid flow. Rotation and injection retards flow whereas injection accelerates the flow.