C. J. van Duijn & Joseph D. Fehribach
Abstract: 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 | |
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Joseph D. Fehribach Department of Mathematical Sciences Worcester Polytechnic Institute 100 Institute Rd. Worcester, MA 01609-2247, USA e-mail: bach@wpi.edu http://www.wpi.edu/~bach |