MHD Free Convection Flow Past a Vertical Infinite Porous Plate in the Presence of Transverse Magnetic Field with Constant Heat Flux

Rogers Omboga Amenya, Johanna Kibet Sigey, Jaconiah Abonyo Okelo, James Mariita Okwoyo

Abstract: A study of magnetic hydrodynamic free convective flow past an infinite vertical porous plate in an incompressible electrically conducting fluid has been considered. The investigation is of the effect of various parameters (Prandtl, Grashof and Hartman) on the velocity profiles and temperature distribution of the fluid in the presence of a transverse magnetic field subject to a constant heat flux. The partial differential equations governing the flows were analyzed using an explicit finite- difference scheme in computer generated programs. The results has been presented in tabular and graphical form showing the effects of the various parameters (Prantl, Grashof, and Hartman) arising in the flow. The numerical results of the study show that an increase in the Grasshof number causes an increase in the velocity profiles; an increase of Hartman number causes a decrease of velocity profile whereas an increase of Prandtl number causes a decrease in temperature distribution.

Keywords: Magneto Hydrodynamics, incompressible fluid, transverse, steady state