Abstract
The entrance problem of convective magnetohydrodynamic channel flow between two parallel plates subjected simultaneously to an axial temperature gradient and a pressure gradient is investigated numerically. Both constant heat flux and constant wall temperature cases are considered. The solutions match to the fully developed solutions after a certain entrance length. It is found that an applied transverse magnetic field may reduce the entrance length of the velocity considerably, but has little effect on the temperature development. At high Hartmann number, the velocity entrance length is inversely proportion to M 2 as it was predicted by Shercliff in the absence of free convection. However, a sufficient large free convection may prolong the developing process considerably.
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