Flow of fluids through porous, anisotropic, composite media with sources and sinks: Application to fuel cells

A Green's matrix for a one dimensional diffusion equation for composite media with Neumann type boundary conditions has been constructed using orthogonal functions. This Green's matrix has been used to construct a solution to a two dimensional steady-state composite media flow problem using multiplicative properties of the problem. The analytic solution is applied to the problem of fluid flow in a fuel cell gas compartment with distributors near the inlet and outlet ports. It is useful in the design of distributors for a better purge efficiency. The Green's function is also useful in various problems of heat and mass transfer.