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

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外文摘要：A theoretical analysis on the electric double layer formed near the surface of an infinite cylinder with an ellip-tical 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.

外文关键词：

Elliptical cylinderElectric double layerSemi-analytical solutionElectric field concentration

作者：

Xiaoyun Dai、Zhenghua Qian、Jiashi Yang

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作者单位：

State Key Laboratory of Mechanics and Control of Mechanical Structures/College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016,China

Department of Mechanical and Materials Engineering, University of Nebraska-Lincoln,Lincoln,NE 68588-0526, USA

基金：

This work was supported by the National Nat-ural Science Foundation of ChinaThis work was supported by the National Nat-ural Science Foundation of ChinaProgram for New Century Excellent Talents in UniversitiesNatural Science Foundation of Jiangsu ProvinceFundamental Research Funds for Central Universitiesa project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institu-tions(PAPD)

项目编号：

1150210811232007NCET-12-0625BK20140037NE2013101

出版年：

2018

力学学报(英文版)

CSTPCDCSCDEI

影响因子：0.363

ISSN：0567-7718

年,卷(期)：2018.34(1)

参考文献量24