PAN Xia ,WU Yefan

(Key Laboratory of Advanced Ceramics of Jiangxi Province, Jingdezhen Ceramic Institute,Jingdezhen Jiangxi 333403, China)

Abstract: Using the conservation laws for mass, momentum and energy, Butler-Voulmer equations, and the boundary and initial conditions, a mathematical model is established to describe the basic dynamic laws for the diffusion of the reactant fuel gas and the product gas inside the anodic catalyst layer in the SOFC. The partial differential equations can only be solved by numerical calculations, not by analytical methods. Increasing the porosity of the electrode can increase the effective gas diffusion coefficient. When the anode is thinner, the total anodic polarization resistance is inversely proportional to the electrochemically active area per unit volume; increasing the electrochemically active area of the anode should help to reduce the total polarization resistance. The mathematical derivation can provide important reference for the optimal preparation of anodes.

Keywords: solid oxide fuel cell, anode, mathematical model, partial differential equation, porosity