ENGINEERING APPLICATIONS OF CURRENT AND POTENTIAL DISTRIBUTIONS IN DISK ELECTRODE SYSTEMS
ENGINEERING APPLICATIONS OF CURRENT AND POTENTIAL DISTRIBUTIONS IN DISK ELECTRODE SYSTEMS
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DOI：
10.1149/1.2408080
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发表时间：
1971-01-01
影响因子：
3.9
通讯作者：
KESSELMAN, W
中科院分区：
文献类型：
--
作者：
NANIS, L;KESSELMAN, W
使用积分变换方法获得了无限平面中圆盘上电流密度（J）和电势分布的解析解，适用于以下四种极限情况：（i）均匀势盘-绝缘平面;（ii）均匀J盘-绝缘平面;（iii）均匀J盘-均匀势平面;（iv）均匀势盘-均匀势平面。结果的应用实例来自与燃料电池设计、夹杂物引起的腐蚀增强和旋转盘系统有关的电化学工程问题。最近，通过使用机器计算方法，在电流密度问题的数学处理方面取得了进展（1，2）。分析结果仍然有吸引力，因为它们的一般性，虽然数学的努力，但最简单的几何形状变得过度。通常与理想化的二维场相关的方法对于与实际电极几何形状相关的三维问题变得越来越复杂。然而，当角对称占优势时，圆柱形场的几何形状可以用两个空间坐标来处理，即
Integral transform methods are used to obtain analytic solutions for the current density (J) and potential distributions on a disk in an infinite plane for the four limiting cases of:(i) uniform potential disk-insulating plane;(ii) uniform J disk-insulating plane;(iii) uniform J disk-uniform potential plane and;(iv) uniform potential disk-uniform potential plane. Examples of applications of results are drawn from electrochemical engineering problems related to fuel cell design, corrosion enhancement due to inclusions, and rotating disk systems.Advances in the mathematical treatment of current density problems have been made recently through the use of machine computation methods (1, 2). Analytic results remain attractive because of their generality, although the mathematical effort for all but the simplest geometries becomes excessive. Methods usually associated with idealized two-dimensional fields become increasingly complex for three-dimensional problems related to practical electrode geometries. However, the cylindrical field geometry may be treated in terms of two space coordinates when angular symmetry prevails, ie