Application to Models For Three-Dimensional Electrodes

The General Form of Model of Three-Dimension Eleetrodes 

Three-dimensional electrodes may inclnde packed bed electrodes as well as porons electrodes. The most important character of 3-D electrode is that there is a potential or cnrrent distribntion related to the electrode reaction, conpled with concentration distribntions within the whole electrode. The mathematical model for a fixed 3-D electrode will be a set of conpled differential eqnations. 

The charge balance and the material balance for species / in a volnme element are the divergences of the flnxes of cnrrent and material respectively as 

The conpled eqnations, Eq. (103) and Eq. (104), will be the general model for all three-dimensional electrodes. The relationship between the charge and material balances can be derived as 

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