A review of mathematical modelling of the transport phenomena and the chemical/electrochemical reactions in solid oxide fuel cells

Over the last two decades a variety of models for solid oxide fuel cells (SOFCs) have emerged ranging from one dimensional (1-D) to 3-D models, from steady-state to transient models; single- and half-cell and entire stack models. A majority of these models have focused either on the transport processes or on the chemical/electrochemical processes. The approach taken by our research group is to develop a comprehensive SOFC model framework based on the considerations of detailed electrochemical reaction mechanism and by accounting for complex transport processes occurring in the porous media at the micro-scale level. In this paper, we review the state-of-the-art in SOFC modeling and identify the existing gaps that need to be filled in.