UNSTEADY TWO-FLUID FLOW AND HEAT TRANSFER OF CONDUCTING FLUIDS IN CHANNELS UNDER TRANSVERSE MAGNETIC FIELD

摘要

An attempt has been made to investigate the behaviour of flow formation and heat transfer aspects on an unsteady MHD two-fluid flow of electrically conducting fluids under the influence of a transversely applied uniform magnetic field in a horizontal channel. The flow is driven by a constant uniform pressure gradient in a channel bounded by two parallel walls, one being stationary and the other oscillating. The two fluids are assumed to be incompressible and electrically conducting possessing different viscosities, thermal and electrical conductivities. The transport properties of the two fluids are taken to be constant and the bounding walls are maintained at constant and equal temperature. The governing partial differential equations are reduced to the ordinary linear differential equations using two-term series, and which in turn are solved analytically to obtain exact solutions for the velocity distributions and the corresponding temperature distributions in the two-fluid regions respectively. Profiles of these solutions are plotted to illustrate the details of the flow and heat transfer characteristics and their dependence on some of the physical parameters, such as the Hartmann number, ratios of the viscosities, heights, electrical and thermal conductivities. And, it is shown how the velocity and temperature distributions vary with hydromagnetic interaction in the case of steady flow and unsteady flow motions. Also, as expected, it is observed that these distributions are pronounced more in the unsteady state when compared to the steady state problem.