Natural Convection Heat Transfer in a Square Porous Enclosure with Corner Heating and Magnetic Field

This numerical study documents the phenomena of heat transfer natural convection in a square porous cavity with corner heating and magnetic field. The finitedifference technique with Gauss-Siedel method is used to solve the governing equations with aid of (Over Relaxation) technique of a range (1.1-1.3). The governing parameters are modified Rayleigh number, Hartmann's number, inclination angleof magnetic field and dimensionless length (non- dimensionalheating region in both directions(x,y)) . It was concluded thatincrease in the Hartman number leads to a decrease in the average Nusselt number while the increase in the modified Rayleigh number increases the averageNusselt number .Theincreaseof dimensionless length (h)led to an increase the average Nusseltnumber . However, the optimum reducing of the heat transfer rate was obtainedat a large magnetic field in the horizontal direction.