Abstract
Numerical simulation for heat transfer with steady magnetohydrodynamic natural convection cooling of a localized heat source at the bottom wall of an enclosure filled with a porous medium saturated with nanofluids subjected to changeable thermal boundary conditions at the sidewalls has been studied in the presence of an inclined magnetic field. Finite difference method was employed to solve the dimensionless governing equations of the problem. The effects of governing parameters, namely, Hartmann number, solid volume fraction, heat source length, and the locations of the heat source on the streamlines and isotherm contours, as well as maximum temperature, local Nusselt number, and average Nusselt number along the heat source, were considered. The present results are validated by favorable comparisons with previously published results for particular cases. The results of the problem are presented graphically and discussed