Convective flows can develop naturally within the porous materials if they are subject to external heating with/without internal heat\r\nsource. In this work, the heat is assumed to be generated internally within the porous enclosure at a rate proportional to a power\r\nof the temperature difference. This relation is an approximation of the state of some exothermic chemical reaction. An inclined\r\nmagnetic field is imposed to the porous enclosure. Darcy, model is used to formulate the porous layer and finite difference method\r\nis applied to solve the governing equations. The obtained results indicate that strong internal heating can generate significant\r\nmaximum fluid temperatures above the heated wall temperature, and location of the maximum fluid temperature moves towards\r\nthe center of the top wall by strengthening the magnetic field. Local heating exponent does not have a major effect on the flow and\r\ntemperature distributions as well as the heat transfer performance within the porous medium. The large magnetic fields, regardless\r\nof direction, are effective to suppress the convective flows and reduce the rate of heat transfer.
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