Optimal shape of catalyst loading along the oxygen channel of a PEM fuel cell

A simple equation for the optimal shape of catalyst loading along the oxygen channel of a PEM fuel cell is derived. This shape g(z;λ)g(z;λ) is a one-parametric, independent of cell current function of the distance z   along the channel; λλ is the stoichiometry of the oxygen flow. Optimal g homogenizes local cell current not affecting the cell polarization curve.