In this study, two-dimensional model was developed for a single proton exchange membrane (PEM) fuel cell. The model was used for a complete cell which includes the cathode gas diffusion layer (GDL), anode gas diffusion layer and membrane. This model Consists of mass transfer in the GDLs, electrochemistry reaction in catalyst layers, charge transfer and energy transport in all parts of the fuel cell. The spherical agglomerate approach was used to describe cathode catalyst layer. The governing equations were solved by finite element method. The mathematical model can predict the PEM fuel cell behavior in different conditions and configurations which is the advantage of this model. The Results show performance of fuel cell in interdigitated and parallel flow fields, in which best conditions and configurations were determined. In this work, better performance of fuel cell with interdigitated flow field was observed in comparison with in parallel flow field.

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