Two fluid magnetoconvection in a vertical enclosure

Abstract

The study of two fluid magnetoconvection flow in a vertical channel is analyzed in the presence of constant electric field. The fluids in both regions are considered to be steady, incompressible and heat-generating or absorbing immiscible fluids. A magnetic field of uniform strength is applied normal to the flow direction and constant electric field is applied parallel to the flow direction. The channel walls are maintained at two different constant temperatures. The transport properties of both fluids are assumed to be constant. Continuous conditions for the velocity, temperature, shear stress and heat flux of both fluids at the interface are employed. The governing ordinary differential equations are solved exactly for velocity and temperature distribution of both fluids. The results are presented graphically for different values of the Hartmann number, Grashof number, heat-generation and absorption co-efficient and also for various ratios of physical parameters. It is found that the flow can be controlled by the suitable choice of heat-generation or absorption coefficient, widths of the channel and viscosity of the two fluids.