Analysis of heat transfer for compressible flow in two-dimensional porous media

Gas from a reservoir at constant pressure and temperature is forced through a two-dimensional porous region. The surface through which the gas exits is at a specified uniform temperature and pressure. The local gas and solid matrix temperatures are assumed equal. General solutions for the local temperature and pressure in the porous medium are found as a function of a potential. This potential can be determined by solving Laplace's equation in the porous region for a simple set of boundary conditions, and the temperature and pressure will then be known functions of position. Because of the nature of the boundary conditions it is particularly convenient to solve Laplace's equation by conformai mapping. By using this technique some illustrative heat and mass flow results were calculated for a porous wall with a step in thickness, a wall supplied with gas through periodic slots, and an eccentric annular region.