Magneto-convection of a two-fluid flow through a vertical channel

Abstract

The combined effect of viscous and Ohmic dissipations on magneto-convection of a two-fluid flow through a vertical channel with heated walls in the presence of applied electric field parallel to gravity and magnetic field normal to gravity with a heat source or sink is investigated. The coupled nonlinear equations are solved both analytically valid for small values of the product (Pr.Ec = ?) of the Prandtl number and Eckert number and numerically valid for small and large ?. These results are presented graphically for different values of the Hartmann number, Grashof number, viscosity ratio, width ratio, sources and sinks for open and short circuits. It is shown in the case of open circuit (E ? 0) that, in contrast with the short circuit case (E=0), the effect of the magnetic field is to increase both the flow velocity and temperature in the channel. Magneto-convection, source, sink, perturbation technique, finite-difference technique.