Three-dimensional approximate analytical solutions fordirect liquid fuel cells

Abstract

A three-dimensional (3D) isothermal model for a direct liquid fuel cell (DLFC) is introduced and reducedin several steps to finally yield closed-form approximate analytical solutions for the anode and overallcell behavior. The model reductions are verified with numerical solutions of the 3D counterpart andvalidated with experiments from an in-house DLFC fed with a liquid methanol-water mixture: overall,good agreement is found. The approximate analytical solutions are shown to be able to capture effectssuch as channel widths in the flow field and variations in the overall path length in the diffusion layer.These solutions lend themselves well to wide-ranging parameter studies and optimization of a DLFC withrespect to geometry and operating conditions. © 2013 Elsevier Ltd. All rights reserved.