Electron.n. J. Diff. Eqns. Vol. 1993(1993), No. 06, pp. 1-25.

Analysis for a Molten Carbonate Fuel Cell

C. J. van Duijn & Joseph D. Fehribach

In this paper we analyze a planar model for a molten carbonate electrode of a fuel cell. The model consists of two coupled second-order ordinary differential equations, one for the concentration of the reactant gas and one for the potential. Restricting ourselves to the case of a positive reaction order in the Butler-Volmer equation, we consider existence, uniqueness, various monotonicity properties, and an explicit approximate solution for the model. We also present an iteration scheme to obtain solutions, and we conclude with a few numerical examples.

Submitted July 28, 1993. Published October 19, 1993.
Math Subject Classification: 80A30, 34A45, 34A46.
Key Words: Electron.n.chemistry, Fuel Cells, Butler-Volmer Equation, Deadcore, Existence, Uniqueness and Approximate Solutions.

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C. J. van Duijn
Faculty of Technical Mathematics, Delft University of Technology
P.O. Box 5031, 2600 GA DELFT, The Netherlands
photo Joseph D. Fehribach
Department of Mathematical Sciences
Worcester Polytechnic Institute
100 Institute Rd.
Worcester, MA 01609-2247, USA
e-mail: bach@wpi.edu
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