Combined effects of free and forced convection on magnetohydrodynamic flow in a rotating channel

The steady flow in a channel rotating with an angular velocity \(\vec \Omega \) and subjected to a constant transverse magnetic field is analysed. An exact solution of the governing equations is obtained. The solution in the dimensionless form contains three parameters: the Grash of number,G, the Hartmann number,M ² and the rotation parameter,K ². The effects of these parameters on the velocity and magnetic field distributions are studied. For large values ofK ² andM ², there arise thin boundary layers on the walls of the channel which may be identified as the Ekman-Hartmann layers.