Hall and Ion-Slip Effects on Unsteady MHD Couette Flow in a Rotating System with Suction and Injection

Abstract

This study deals analytically with the motion of a viscous, incompressible and electrically conducting fluid filling the gap between two infinite porous plates where both the plates and the fluid rotates in unison with uniform angular velocity. A unified closed form analytical expressions is derived for the two cases of the magnetic field being fixed relative to either the fluid or to the moving porous plate. The governing equations obtained are solved using the Laplace transform technique and an exact solution obtained for the velocity and the skin friction. The transient state solution at large time was observed to be in harmony with the steady state solution which has been derived separately. The effects of rotation, suction/injection parameter and Hall and ion-slip parameters on both the primary and secondary velocities and the resultant skin friction are presented graphically. The presence of Hall and ion-slip currents and suction/injection results into the longer time it took both the primary and th...