Cottrell’s equation revisited: an intuitive, but unreliable, novel approach to the tracking of electrochemical diffusion

A procedure is described that permits a derivation of Cottrell’s equation without explicitly solving Fick’s second law. The procedure, which is based on a Green’s function approach is shown to successfully treat several other electrochemical situations. Unfortunately, however, the method is not univ...

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Bibliographic Details
Published in:Electrochemistry communications 2004-04, Vol.6 (4), p.344-350
Main Authors: Myland, Jan C, Oldham, Keith B
Format: Article
Language:English
Subjects:
Chemistry
Concentration polarization
Cottrell equation
Electrochemical diffusion
Electrochemistry
Exact sciences and technology
General and physical chemistry
Green’s function
Method of images
Study of interfaces
Transport phenomena
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Summary:A procedure is described that permits a derivation of Cottrell’s equation without explicitly solving Fick’s second law. The procedure, which is based on a Green’s function approach is shown to successfully treat several other electrochemical situations. Unfortunately, however, the method is not universally valid. It is demonstrated that success is dependent on strict geometric conditions being met.
ISSN:1388-2481
1873-1902
DOI:10.1016/j.elecom.2004.01.013