Latest News

About CAMQ

Information for Authors

Editorial Board

Browse CAMQ Online

Subscription and Pricing

CAMQ Contacts

CAMQ Home

 

Volume 15,     Number 3,     Fall 2007

 

THE SECOND ELECTROLYTE WEDGE
PROBLEM IN POROUS ELECTRODES
JOSEPH D. FEHRIBACH AND KIMBERLY M. KILGORE

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 a rate-determining reaction occurs at the electrolyte-solid interface; MCFC cathodes are used as a specific example. The modelling in terms of component potentials (linear combination of electrochemical potentials) is new, and it is shown to be consistent with traditional concentration modelling. Moreover, the current density is proven finite, and asymptotic expressions for both current density and total current are derived for sufficiently small contact angles. Finally, numerical and asymptotic calculations are presented. The numerical results suggest how certain potentials should depend on variables or parameters; these dependencies can be used to derive an asymptotic expression for the current density along the electrolyte-solid interface.

Download PDF Files
 
(Subscribers Only)

© 2007, Canadian Applied Mathematics Quarterly (CAMQ)