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Acta Mechanica Sinica
Published in: Acta Mechanica Sinica 1/2018

29-05-2017 | Research Paper

A semi-analytical solution for electric double layers near an elliptical cylinder

Authors: Xiaoyun Dai, Zhenghua Qian, Jiashi Yang

Published in: Acta Mechanica Sinica | Issue 1/2018

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Abstract

A theoretical analysis on the electric double layer formed near the surface of an infinite cylinder with an elliptical cross section and a prescribed electric potential in an ionic conductor was performed using the linearized Gouy–Chapman theory. A semi-analytical solution in terms of the Mathieu functions was obtained. The distributions of the electric potential, cations, anions, and electric field were calculated. The effects of various physical and geometric parameters were examined. The fields vary rapidly near the elliptical boundary and are nearly uniform at far field. Electric field concentrations were found at the ends of the semi-major and semi-minor axes of the ellipse. These concentrations are sensitive to the physical and geometric parameters.
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Metadata
Title
A semi-analytical solution for electric double layers near an elliptical cylinder
Authors
Xiaoyun Dai
Zhenghua Qian
Jiashi Yang
Publication date
29-05-2017
Publisher
The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences
Published in
Acta Mechanica Sinica / Issue 1/2018
Print ISSN: 0567-7718
Electronic ISSN: 1614-3116
DOI
https://doi.org/10.1007/s10409-017-0680-9

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