Effects of hall current on transient MHD natural convection flow in a vertical microchannel

Abstract

In this work, we studied the transient Magnetohydrodynamics natural convection flow with heat and mass transfer of an electrically conducting, viscous, incompressible, chemically reacting and optically thin radiating fluid past an infinite vertical plate in the presence of Hall current. The criteria for the existence of a unique solution of the equations describing the flow were established. The exact solutions for momentum and energy equations were obtained by transforming the equations and solving them using the Fourier Transform method under the relevant initial and boundary conditions. The effects of various flow parameters on the velocity, temperature and concentration were shown with the aid of graphs. Prandtl number is inversely proportional to temperature. Prandtl number has no effect on the concentration of the fluid, both thermal and solutal Grashof number are directly proportional to the velocity of the fluid, chemical reaction has a reverse effect on velocity, radiation has a reverse effect on temperature, Prandtl number has a reverse effect on the concentration of the fluid, Schmidt number has a reverse effect on the concentration of the fluid.