Unsteady hydromagnetic free convection flow with heat flux and accelerated boundary motion

The effects of viscosity, magnetic field and buoyancy force on the unsteady free convection flow of an incompressible and electrically conducting fluid have been analysed when the flow is generated by uniformly accelerated motion of a vertical plate subject to constant heat flux. The resulting boundary value problem has been solved exactly for the temperature and velocity variables, The fluid velocity and the skin friction have been computed for some saturated liquids and the effects of the fluid and external forces have been discussed. It is observed that the increase in velocity caused by the larger heat flux can be controlled by enhancing the magnetic field strength. The skin friction at the boundary increases for larger Prandtl and Hartmann numbers, and decreases with increasing Grashof number.