Free convection and mass transfer effects on the magnetohydrodynamic flows near a moving plate in a rotating medium

An exact solution of the free-convection flow near an infinite vertical plate moving in a rotating medium in the presence of foreign mass and a transverse magnetic field is presented under a constant heating of the plate. It is apparent from this solution that the effects of the motion, the temperature, and the mass transfer are linear and, hence, can be studied independently. Three applications of physical interest are discussed. The non-magnetic case and non-rotating case are are also discussed.Paper dedicated to Professor Hannes Alfvén on the occasion of his 80th birthday, on 30 May 1988.