Document Type

Article

Publication Date

2-1-2001

Publication Title

European Journal of Applied Mathematics

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 sufficiently small contact angles. Finally, numerical and asymptotic examples are presented to illustrate the strengths and weaknesses of these expressions.

Volume

12

First Page Number

77

Last Page Number

96

DOI

10.1017/S0956792501004454

Publisher Statement

© 2001 Cambridge University Press. Available on publisher's site at http://dx.doi.org/10.1017/S0956792501004454.

Included in

Mathematics Commons

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