Effects of free convection currents on the oscillatory flow past an infinite, vertical, porous plate with constant heat flux

An analysis of a two-dimensional flow of an incompressible viscous fluid past an infinite porous plate, stationary or steadily moving in its own plane, is presented under the following conditions: (1) constant suction normal to the plate; (2) the free-stream velocity oscillates in time about a constant mean; (3) constant heat flux at the plate; and (4) presence of free convection currents. The problem is governed by the nonlinear equations, and approximate solutions are derived for the mean velocity, mean temperature, mean skin friction and mean Nusselt number, transient velocity, transient temperature, and amplitude and phase of skin friction and Nusselt number. This is followed by a discussion in which the effects of Grashof number, Prandtl number, Eckert number, and frequency are described in a quantitative manner. It is observed that as compared with an isothermal case, the mean skin friction is very high in the presence of a constant heat flux.