The Effect of Electromagnetic Field on Velocity and Temperature Profiles of Two Immiscible Fluids in an Inclined Porous Medium Channel

摘要

This study considers steady. laminar flow of two viscous, incompressible, electrically-conducting and heat-generating or absorbing immiscible fluids in an inclined infinitely-long, parallel-plate channel filled with a uniform porous medium. A magnetic field of uniform strength is applied normal to the flow direction and, as a result of this, an induced current is produced. The channel walls are assumed to be electrically non-conducting and are maintained at two different temperatures. When present, the porous medium is assumed to act as an electrical insulator and that it is in local thermal equilibrium with the fluid. The transport properties of both fluids are assumed to be constant. This study is expected to be useful in umderstanding the influence of the presence of slag layers on the flow and heat transfer aspects of coal-fired Magnetohydrodynamic (MHD) generators when the porous medium is absent and the effects of thermal buoyancy and a magnetic field on enhanced oil recovery and filtration systems when the porous medium is present. Th eproblem is formulated by employing the balance laws of mass, linear momentum, and eneegy for both phases. Continuous conditions for the velocity and temperature as well as the shear stress and heat flux of both phases. COntinuous conditions for the velocity and temperature distributions of both fluids in the channel. Comparisons with previously reported velocity profiles are performed and excellent agreements are obtained. A parametric study illustrating the influence of the physical parameters involved in the problem is conducted and the results are presented graphically and discussed.