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Abstract and Applied Analysis
Volume 2014, Article ID 789147, 10 pages
http://dx.doi.org/10.1155/2014/789147
Research Article

Solution of Time Periodic Electroosmosis Flow with Slip Boundary

1Department of Mathematics and Statistics, Curtin University, Perth, WA 6845, Australia
2School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, China
3Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand

Received 27 March 2014; Revised 28 April 2014; Accepted 22 May 2014; Published 16 June 2014

Academic Editor: Xinguang Zhang

Copyright © 2014 Qian Sun et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Recent research confirms that slip of a fluid on the solid surface occurs at micrometer scale. Slip on solid surface may cause the change of interior material deformation which consequently leads to the change of velocity profile and stress field. This paper concerns the time periodic electroosmotic flow in a channel with slip boundary driven by an alternating electric field, which arises from the study of particle manipulation and separation such as flow pumping and mixing enhancement. Although exact solutions to various flow problems of electroosmotic flows under the no-slip condition have been obtained, exact solutions for problems under slip boundary conditions have seldom been addressed. In this paper, an exact solution is derived for the time periodic electroosmotic flow in two-dimensional straight channels under slip boundary conditions.