Combined Effects of Hall Currents and Rotation on Steady Hydromagnetic Couette Flow

Abstract

We study a steady hydromagnetic Couette flow of a viscous incompressible electrically conducting fluid in a rotating system between two infinitely long parallel plates in the presence of a uniform transverse magnetic field on taking Hall Current into account. The governing equations describing the flow are solved analytically. It is observed that the Hall currents accelerate the primary velocity whereas they retard the secondary velocity. The induced magnetic field is significantly affected by the Hall currents. An increase in Hall currents leads to fall in the fluid temperature. The heat transfer characteristics have also been studied. The rate of heat transfer at the lower plate decreases whereas the rate of heat transfer at the upper plate increases with an increase in Hall parameter. The asymptotic behavior of the solutions are discussed for small and large values of magnetic parameter and rotation parameter. It is interesting to note that either for strong magnetic field or for large rotation there exists a single-deck boundary layer in the region near the stationary plate. The thickness of this boundary layer first decreases, reaches a minimum and then increases with an increase in Hall parameter.