Mass Transfer Cooling of Laminar Flow Between Parallel Porous Plates

Abstract

The limiting temperature and mass concentration profiles and the limiting wall Nusselt number are obtained for the laminar nonisothermal flow in a two-dimensional porous channel. Results are reported for a uniform rate of injection at the wall of a foreign component of higher thermal capacity than the fluid in the channel. An exact solution of the diffusion equation is found while numerical and analytic solutions of the energy equation are discussed for small injection rates. It is shown that the enthalpy transport resulting from the diffusion process has an effect equivalent to increasing the Prandtl number. It is also found that for a given injection velocity at the wall, the limiting Nusselt number is significantly reduced by the injection of a foreign component of high thermal capacity.