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Diffusion-reaction-conduction processes in porous electrodes: the electrolyte wedge problem

Published online by Cambridge University Press:  17 May 2001

J. D. FEHRIBACH
J. D. FEHRIBACH
Affiliation:
Department of Mathematical Sciences, Worcester Polytechnic Institute, 100 Institute Rd., Worcester, MA 01609-2247, USA Also at: Laboratory of Materials Science, Technische Universiteit Delft, Rotterdamseweg 137, NL-2628 AL Delft Nederland.
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Abstract

This work studies mathematical issues associated with steady-state modelling of diffusion- reaction-conduction processes in an electrolyte wedge (meniscus corner) of a current-producing porous electrode. The discussion is applicable to various electrodes where the rate-determining reaction occurs at the electrolyte-solid interface; molten carbonate fuel cell cathodes are used as a specific example. New modelling in terms of component potentials (linear combinations of electrochemical potentials) is shown to be consistent with tradition concentration modelling. The current density is proved to be finite, and asymptotic expressions for both current density and total current are derived for suffciently small contact angles. Finally, numerical and asymptotic examples are presented to illustrate the strengths and weaknesses of these expressions.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 12 , Issue 1 , February 2001 , pp. 77 - 96
Copyright
2001 Cambridge University Press

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