A sharp interface reduction for multiphase transport in a porous fuel cell electrode
The gas diffusion layer in the electrode of a proton exchange membrane fuel cell is a highly porous material which acts to distribute reactant gases uniformly to the active catalyst sites. We analyse the conservation laws governing the multiphase flow of liquid, gas and heat within the electrode. The model is comprised of five nonlinear-degenerate parabolic differential equations strongly coupled through liquid–gas phase change. We identify a scaling regime in which the model reduces to a free boundary problem for a moving two-phase interface. On each side of the moving boundary the nonlinear system is well approximated by its linearization whose relaxation times are much shorter than the front evolution. Using a quasi-steady reduction, we obtain an explicit leading-order evolution equation for the free surface in terms of the prescribed boundary conditions.