The design of a polymer electrolyte fuel cell (PEFC) stack requires careful consideration of thermal, water, and gas management to ensure high stack performance in operation. This work aims to develop a mathematical and numerical model for PEFC stacks that serves two objectives: the first involves a study of the fundamental aspects of the PEFC and the associated transport phenomena, electrochemical processes and multiphase flow for a single cell as well as a stack. The second objective concerns the development and integration of applied research for the PEFC single cell and stack, including...