Solution of Time Periodic Electroosmosis Flow with Slip Boundary

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...

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Main Authors: Qian Sun, Yonghong Wu, Lishan Liu, B. Wiwatanapataphee
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/789147
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author Qian Sun
Yonghong Wu
Lishan Liu
B. Wiwatanapataphee
author_facet Qian Sun
Yonghong Wu
Lishan Liu
B. Wiwatanapataphee
author_sort Qian Sun
collection DOAJ
description 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.
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series Abstract and Applied Analysis
spelling doaj-art-8c490bc5bcda40d4ac36de36d0b87a912025-08-20T02:09:13ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/789147789147Solution of Time Periodic Electroosmosis Flow with Slip BoundaryQian Sun0Yonghong Wu1Lishan Liu2B. Wiwatanapataphee3Department of Mathematics and Statistics, Curtin University, Perth, WA 6845, AustraliaDepartment of Mathematics and Statistics, Curtin University, Perth, WA 6845, AustraliaSchool of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaDepartment of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, ThailandRecent 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.http://dx.doi.org/10.1155/2014/789147
spellingShingle Qian Sun
Yonghong Wu
Lishan Liu
B. Wiwatanapataphee
Solution of Time Periodic Electroosmosis Flow with Slip Boundary
Abstract and Applied Analysis
title Solution of Time Periodic Electroosmosis Flow with Slip Boundary
title_full Solution of Time Periodic Electroosmosis Flow with Slip Boundary
title_fullStr Solution of Time Periodic Electroosmosis Flow with Slip Boundary
title_full_unstemmed Solution of Time Periodic Electroosmosis Flow with Slip Boundary
title_short Solution of Time Periodic Electroosmosis Flow with Slip Boundary
title_sort solution of time periodic electroosmosis flow with slip boundary
url http://dx.doi.org/10.1155/2014/789147
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AT yonghongwu solutionoftimeperiodicelectroosmosisflowwithslipboundary
AT lishanliu solutionoftimeperiodicelectroosmosisflowwithslipboundary
AT bwiwatanapataphee solutionoftimeperiodicelectroosmosisflowwithslipboundary