Journal of Applied Mathematics and Decision Sciences
Volume 5 (2001), Issue 2, Pages 119-132

A finite difference equivalent circuit approach to secondary current modelling in annular porous electrodes

T. W. Farrell,1 D. L. S. Mcelwain,1 and D. A. J. Swinkels2

1Centre in Statistical Science and Industrial Mathematics, Queensland University of Technology, GPO Box 2434, Brisbane Q 4001, Australia
2Department of Chemistry, The University of Newcastle, Callaghan 2308, NSW, Australia

Copyright © 2001 T. W. Farrell et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


An equivalent circuit for an annular porous electrode is derived by reinterpreting the differential equations that approximate the distribution of voltage and current in such electrodes. The equivalent circuit is shown to provide useful physical interpretations of the secondary current distributions. Multi-loop circuit techniques are employed to obtain the current distributions within the circuit. The solutions are shown to compare well with the exact solutions of the model equations. In addition, the equivalent circuit approach is used to investigate the effect of curvature on the degree of polarization of the electrode.