Magneto hydrodynamic Turbulent Fluid Flow past an Infinite Vertical Porous Plate in a Rotating System

Abstract

In this study, the turbulent fluid flow problem of a conducting fluid past an infinite porous vertical plate in a rotating system is investigated. Hall currents, mass transfer and Joule’s heating are accounted for in the present study. A deviation from the laminar flow, non–porous medium, Hall currents and Joule’s heating is sought. Mathematical formulation in which turbulence is approximated using Prandtl mixing hypothesis is constructed. The final set of partial differential equations obtained is resolved into difference equations using the forward time central space finite difference method. A computer program in matlab is used to iteratively solve the resultant difference equations. The solutions obtained are presented in form of graphs. The effect of various non–dimensional parameters on the flow profiles are discussed and physical interpretation given. Mass transfer, rotation, Hall currents and Joule’s heating are found to have profound effect on the primary velocities, secondary velocities, temperature and concentration profiles. The rotational parameter and Hall parameter are found to inhibit the primary velocities while enhancing the secondary velocities. Injection enhances all the flow variables while suction inhibits all flow variables. Results reported in the present study follow expected trends and are in good agreement with some of the previous studies.