Mixed convection flow of magnetohydrodynamic micropolar fluid due to a porous heated/cooled deformable plate: Exact solutions

The present work deals with the magnetohydrodynamic mixed convection flow and heat as the consequence of a micropolar fluid past a heated or cooled stretching permeable surface by taking into account heat generation and absorption effects. The objective is to mathematically resolve the flow and heat fields and their domain of existence. A magneto-convection parameter is defined first controlling the effects of convection buoyancy and magnetic field. Explicit solutions are then derived for the flow, temperature and concentration fields. The existence and uniqueness of the solutions, the heating and cooling influences of the wall, the magnetic effects, the skin friction as well as the rate of heat transfer are better understood by means of the presented formulae.