The effect of an external magnetic field on natural convection in an inclined rectangular enclosure

Steady, laminar, natural-convection flow in the presence of a magnetic field of an arbitrary direction in an inclined rectangular enclosure with isothermal vertical walls and adiabatic horizontal walls was considered. The governing equations were solved numerically for the stream function, vorticity, and temperature ratio using the differential quadrature method for various Grashof and Hartman numbers and three different magnetic field directions, aspect ratios, and inclination angles. Counter-clockwise inclination of the enclosure enhances the convection whereas the clockwise inclination retards it. The magnetic field applied normal to the side walls are more effective for square and tall enclosures whereas the magnetic field applied parallel to the side walls is more effective for shallow enclosures.