Mixed convection in a lid-driven and inclined square enclosure under a magnetic field

Steady, laminar, mixed convection flow under the presence of a magnetic field of arbitrary direction in an inclined square enclosure with isothermally heated and moving side walls, and stationary and adiabatic horizontal walls was considered. The governing equations were solved numerically for the stream function, vorticity and temperature using the differential quadrature method for various Reynolds, Grashof and Hartman numbers and inclination angle of the enclosure. The results showed that the movement of the side walls of the enclosure has a significant effect on the flow and temperature fields. Magnetic field applied parallel to the side walls is more effective in reducing the heat transfer rate. Counterclockwise inclination of the enclosure increases the average Nusselt number while clockwise inclination reduces it.