Unsteady MHD Flow Through Porous Medium In A Rotating Parallel Plate Channel Under The Influence Of Variable Pressure Gradient

Abstract

In this paper, an unsteady magneto hydro dynamic (MHD) two-layered fluids flow in a horizontal channel between two parallel plates in the presence of an applied magnetic and electric field is investigated, when the whole system is rotated about an axis perpendicular to the flow. The flow is driven by a constant uniform pressure gradient in the channel bounded by two parallel insulating plates, when both fluids are considered as electrically conducting. The two fluids are assumed to be incompressible with variable properties, namely, different viscosities, thermal and electrical conductivities. Also, the transport properties of the two fluids are taken to be constant and the bounding plates are maintained at constant and equal temperatures. The governing partial differential equations are then reduced to the ordinary linear differential equations by using two-term series. Exact solutions for primary and secondary velocity distributions, also the temperatures are obtained in both fluid regions of the channel. Profiles of these solutions are plotted to discuss the effect on the flow and heat transfer characteristics, and their dependence on the governing parameters involved, such as the Hartmann number, Taylor number (rotation parameter), and ratios of the viscosities, heights, electrical and thermal conductivities. Moreover, an observation is made how the velocity and temperature distributions vary with hydro magnetic interaction in the case of steady and unsteady motions in the presence of rigid rotation.