Abstract
The current distribution in an electrochemical cell consisting of a cylindrical anode and a coaxial tubular cathode of finite thickness and conductivity is considered. The calculations involve the evaluation of the appropriate analytical solution of Laplace's equation within the cathode and electrolyte, with boundary conditions corresponding to potential continuity (primary current distribution) or linear electrode kinetics (secondary current distribution) at the cathode‐electrolyte interface. These current distributions are given in the form of Fourier‐Bessel series, which allow the effects of electrode resistance and electrical contact geometry to be determined. The influence of the finite tube thickness and resistivity on the relative deviation of overpotential along the tube is also considered, and the range of tube‐wall thickness for which this relative deviation of overpotential is less than 2% is determined.
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