Effects of free convection currents on the oscillatory flow of an electrically conducting fluid past a stationary or steadily moving vertical plate with variable suction and constant heat flux

An approximate analysis of a two-dimensional flow of an electrically conducting incompressible viscous fluid past an infinite porous plate, stationary or steadily moving in its own plane, is presented under the following conditions: i) suction velocity oscillates about a constant non-zero mean; ii) the free stream velocity oscillating in time about a constant mean; iii) constant heat flux at the plate; iv) presence of free convection currents due to the temperature difference; v) a uniform transverse magnetic field. Approximate solutions to coupled nonlinear equations governing the problem have been derived for the transient velocity, the transient temperature, the amplitude and the phase of the skin-friction and the Nusselt number. During the course of analysis, the effects of the Grashof number Gr, the magnetic field parameter M, the suction parameter A, the Eckert number E, the velocity of the plate V and the frequency 'omega' have been discussed.