Abstract and Applied Analysis

Solution of Time Periodic Electroosmosis Flow with Slip Boundary

Qian Sun, Yonghong Wu, Lishan Liu, and B. Wiwatanapataphee

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 789147, 10 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412279721

Digital Object Identifier
doi:10.1155/2014/789147

Mathematical Reviews number (MathSciNet)
MR3226232

Zentralblatt MATH identifier
07023070

Citation

Sun, Qian; Wu, Yonghong; Liu, Lishan; Wiwatanapataphee, B. Solution of Time Periodic Electroosmosis Flow with Slip Boundary. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 789147, 10 pages. doi:10.1155/2014/789147. https://projecteuclid.org/euclid.aaa/1412279721


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