NDLI: Asymptotic Reduction for Numerical Modeling of Polymer Electrolyte Fuel Cells

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Shugai, G. Vynnycky, M. Yakubenko, P. Mellgren, N.
Copyright Year	2009
Abstract	Most existing three-dimensional (3D) models for the polymer electrolyte fuel cell (PEFC), as well as other types of fuel cells, are fully numerical and computationally expensive. While such models are undoubtedly useful, they cannot provide the qualitative understanding that comes from a complete prior nondimensional analysis of the problem. Here, earlier ideas for the derivation of a two-dimensional (2D) asymptotically reduced model to describe steady isothermal gas-phase flow in the cathode of a PEFC are extended to a 3D nonisothermal model for a whole PEFC with straight channel flow distributors. As well as providing characteristic current density and temperature difference scales for the whole cell, it is also possible to extract potential drops over individual cell components. The analysis indicates that, for realistic operating ranges, the PEFC is sufficiently isothermal with respect to the mass, momentum, and charge transport to enable the thermal problem to be decoupled from the rest, a simplification not noted previously. After the relevant nondimensional parameters have been identified, a reduced model is proposed and some preliminary numerical results comparing the polarization curves obtained from the reduced and 3D models are presented. Good agreement is found; most significantly, the reduced model is found to require between one and two orders of CPU time less than the full 3D model.
Starting Page	455
Ending Page	487
Page Count	33
File Format	PDF
ISSN	00361399
DOI	10.1137/080722370
e-ISSN	1095712X
Issue Number	2
Volume Number	70
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2009-07-17
Access Restriction	Subscribed
Subject Keyword	Explicit machine computation and programs Flows in porous media; filtration; seepage polymer electrolyte fuel cells
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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