Abstract

A modified simulation model based on a two-dimensional implicit difference approximation (ADI method) has been developed to describe diffusion processes at stationary unshielded (micro) disk electrodes. Besides the semi-infinite linear component, the model also takes into account a radial diffusion gradient which is always present in all transport processes of this nature. The current-time relationship for diffusion-controlled electrolysis was used to test the consistency and accuracy of the numerical approximation. The computation reveals, in close agreement with experimental data, that the familiar Cottrell equation should be replaced by the formula:

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