MHD Natural Convection in a Rectangular Cavity having Internal Energy Sources with Non-Uniformly Heated Bottom Wall

The present study deals with steady natural convection flow in a rectangular cavity containing internally heated and electrically conducting fluid. The bottom wall is non-uniformly heated while the upper wall of the cavity is well insulated. The left and right vertical walls are maintained at constant hot and cold temperature respectively. Numerical results have been obtained for the effect of various internal and external Rayleigh numbers and Hartmann numbers. Results are presented in the form of streamlines, isotherm contours. Average Nusselt numbers are expressed as a function of Rayleigh number. It is found that the temperature, fluid flow and heat transfer strongly depend on internal and external Rayleigh numbers and Hartmann numbers.