Potential Distribution for Disk Electrodes in Axisymmetric Cylindrical Cells

Abstract

A cylindrical cell useful for rotating disk studies has been analyzed for its primary resistance. Values of the resistance are given for a large number of cell configurations. The resistance calculations permit the simpler resistance formulas for infinite cells to be applied to the design of finite cells.

Calculation of the Streaming Potential near a Rotating Disk

“…The effect of cell volume on the distribution of electric potential can be addressed in a straightforward manner by solving Laplace's equation in a cylindrical cell, as demonstrated previously for an electrochemical system. 13 Separation of variables yields a Bessel series with zero field at the walls and a specified current distribution on the plane, including the disk, from which the effects of finite cell volume can be estimated if necessary. Since the streaming potential is small for cell dimensions greater than a few radii (see eq 10), the cell must have a dimension less than approximately 3 times the radius for cell volume to be significant.…”

Scale-Up of Electrochemical Reactors

“…Solution methods are analytically and numerically, the analytical methods involves the method of image [12],separation of variables [13], superposition [14,15], and Schwarz-Christoffel transformation [16]. The Schwarz-Christoffel transformation is a powerful tools for solution of Laplace's equation in systems with planar electrodes.…”

An improved analysis of the potential drop method for measuring crack lengths in compact tension specimens

“…The method of images [16], separation of variables [17], and superposition [18,19] have been used to solve Laplace's equation for a number of systems. These assumptions are strictly valid for solid conductors in which the current is electronic.…”