FREE CONVECTION OF HEAT TRANSFER IN FLOW PAST A SEMI-INFINITE FLAT PLATE IN TRANSVERSE MAGNETIC FIELD WITH HEAT FLUX

A steady two-dimensional MHD free convection of heat transfer in flow past a semi-infinite flat plate in transverse magnetic field with heat flux has been examined. The governing partial differential equation are non-dimensionalised and transformed into a system of nonlinear ordinary differential similarity equations, in a single independent variable η and using Runge-Kutta Gill method with shooting technique. The velocity and temperature distributions are discussed numerically and presented through graphs. Skin-friction coefficient and the Nusselt number are derived, discussed numerically and their numerical values for various values of physical parameter are presented through tabular form. The effects of magnetic parameter, permeability parameter and Prandtl number on the velocity and temperature profiles were displayed graphically for different values of parameters entering into the problem. Significant changes were obtained in heat transfer coefficient due to the parameters. In addition, the skin friction coefficient and Nusselt number were shown in tabular form.