Mathematical modelling of the catalyst layer of a polymer-electrolyte fuel cell

Shah, A., Kim, G.S. and Promislow, K. (2007) Mathematical modelling of the catalyst layer of a polymer-electrolyte fuel cell. IMA Journal of Applied Mathematics, 72, (3), 302-330.


[img] PDF
Download (350Kb)


In this paper we derive a mathematical model for the cathode catalyst layer of a polymer
electrolyte fuel cell. The model explicitly incorporates the restriction placed on oxygen in
reaching the reaction sites, capturing the experimentally observed fall in the current density
to a limiting value at low cell voltages. Temperature variations and interfacial transfer of
O2 between the dissolved and gas phases are also included. Bounds on the solutions are de-
rived, from which we provide a rigorous proof that the model admits a solution. Of particular
interest are the maximum and minimum attainable values. We perform an
asymptotic analysis in several limits inherent in the problem by identifying important group-
ings of parameters. This analysis reveals a number of key relationships between the solutions,
including the current density, and the composition of the layer. A comparison of numerically
computed and asymptotic solutions shows very good agreement. Implications of the results
are discussed and future work is outlined.

Item Type: Article
ISSNs: 1464-3634 (print)
Related URLs:
Keywords: Fuel cell; Catalyst layer; Oxygen diffusion; Temperature variations; Bounds; Asymptotic analysis.
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Divisions : University Structure - Pre August 2011 > School of Engineering Sciences > Thermofluids and Superconductivity
ePrint ID: 44772
Accepted Date and Publication Date:
June 2007Published
Date Deposited: 15 Mar 2007
Last Modified: 31 Mar 2016 12:18

Actions (login required)

View Item View Item

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics