Free convection effects on the oscillatory flow of a viscous, incompressible fluid past a steadily moving vertical plate with constant suction

An analysis of a two-dimensional flow of an incompressible, viscous fluid past an infinite porous plate is presented under the following conditions: (1) suction velocity normal to the plate is constant; (2) the free stream velocity oscillates in time about a constant mean; (3) the plate temperature is constant; (4) existence of free convection currents due to temperature difference between the plate temperature and the free stream temperature; (5) the plate is moving steadily in the upward or downward direction. On solving the coupled nonlinear equations in approximate way, the results for the mean velocity and temperature, the mean skin-friction, the mean rate of heat transfer, the transient velocity and temperature and the amplitude and the phase of the skin-friction and the rate of heat transfer are shown graphically.