Effects of free convection currents on the oscillatory flow past an infinite, vertical, porous plate with constant heat flux
Abstract
An analysis of a twodimensional 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 freestream 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.
 Publication:

Iranian Journal of Science Technology
 Pub Date:
 1977
 Bibcode:
 1977IrJST...6...11S
 Keywords:

 Convection Currents;
 Free Convection;
 Incompressible Fluids;
 Oscillating Flow;
 Porous Plates;
 Two Dimensional Flow;
 Viscous Fluids;
 Free Flow;
 Heat Flux;
 Nusselt Number;
 Skin Friction;
 Suction;
 Temperature Profiles;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer