A semi-analytical solution for electric double layers near an elliptical cylinder |
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| Authors: | Xiaoyun Dai Zhenghua Qian Jiashi Yang |
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| Institution: | 1.State Key Laboratory of Mechanics and Control of Mechanical Structures/College of Aerospace Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing,China;2.Department of Mechanical and Materials Engineering,University of Nebraska-Lincoln,Lincoln,USA |
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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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