Hall effects on steady rotating MHD flow of heat generating fluid through porous medium with variable pressure gradient

Abstract

This research analyses a steady rotating MHD flow in a parallel plate bounded by a porous medium under the influence of a uniform magnetic field of strength B0 that is inclined at an angle of inclination α with normal to the boundaries in the transverse xz-plane, taking hall current into account, along with pressure gradient. The study also examines heat and mass transfer over a continuously moving permeable surface with constant velocity through power-law fluids at rest. To create perturbations, a constant pressure gradient is applied along the plates and non-torsional oscillations are induced in the upper plate, while the lower plate remains at rest. The flow in the porous medium is governed by the Brinkman's equations. Using perturbation techniques, velocity and temperature diagnostic solutions are obtained and discussed computationally with respect to flow parameters through graphs. The paper also evaluates skin friction and Nusselt number, and discusses them in detail with reference to relevant parameters.