Hall Effect in the Viscous Incompressible Flow Through a Rotating Channel Between Two Porous Walls

Abstract

Exact solutions for the velocity and induced magnetic field distributions, accounting for Hall currents have been obtained for the flow of a conducting porous walls under the action of a constant pressure gradient and in the presence of a uniform magnetic field transversely applied to the flow. Further, the channel is rotated with constant angular velocity about an axis perpendicular to the walls. For the purpose of mathematical simplicity, the magnetic prandtl number is assumed to be negligible. An expression for the boundary layer thickness dependent on Taylor, Hartmann, suction Reynolds numbers and Hall parameter has been obtained.