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Article: Lagrangian transport induced by peristaltic pumping in a tube

TitleLagrangian transport induced by peristaltic pumping in a tube
Authors
KeywordsBackward time
Core region
First-order
Flexible tubes
Flow domains
Issue Date2011
PublisherInstitute of Physics Publishing Ltd. The Journal's web site is located at http://www.iop.org/journals/fdr
Citation
Fluid Dynamics Research, 2011, v. 43 n. 1 How to Cite?
AbstractThis is an analytical study, based on equations of motion in Lagrangian form, for the steady Lagrangian fluid transport induced by long peristaltic waves (which can be progressive, purely or partially standing) of small amplitude traveling on the boundary of a flexible tube. The first-order oscillatory viscous flow and the higher-order time-mean Lagrangian drifts (or steady streaming) are obtained as functions of the wave properties. Two cases are considered. Firstly, the wave frequency is slow such that the steady-streaming Reynolds number (Re s) is very small and the viscous diffusion is significant across the entire flow region. The time-mean flow can be found in the secondorder problem. Secondly, high-frequency pumping is considered such that Re s = O(1). Under this condition, the flow domain is divided into a thin Stokes boundary layer near the wall and the inviscid core region. The steady streaming in the core region is to be found in the fourth-order problem. Based on the Lagrangian coordinates, all the solutions are analytically expressed. Results are generated to illustrate the effects of wave properties on the Lagrangian transport. The phenomenon of reflux, a backward time-mean flow, is examined in particular. © 2011 The Japan Society of Fluid Mechanics and IOP Publishing Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/129260
ISSN
2015 Impact Factor: 0.846
2015 SCImago Journal Rankings: 0.463
ISI Accession Number ID
Funding AgencyGrant Number
Research Grants Council of the Hong Kong Special Administrative Region, ChinaHKU 715609E
Funding Information:

Financial support from the Research Grants Council of the Hong Kong Special Administrative Region, China, through project no. HKU 715609E is acknowledged. This study is part of the work performed by the first author for his PhD thesis under the supervision of the second author at the University of Hong Kong.

References
Grants

 

DC FieldValueLanguage
dc.contributor.authorMa, Yen_HK
dc.contributor.authorNg, COen_HK
dc.date.accessioned2010-12-23T08:34:22Z-
dc.date.available2010-12-23T08:34:22Z-
dc.date.issued2011en_HK
dc.identifier.citationFluid Dynamics Research, 2011, v. 43 n. 1en_HK
dc.identifier.issn0169-5983en_HK
dc.identifier.urihttp://hdl.handle.net/10722/129260-
dc.description.abstractThis is an analytical study, based on equations of motion in Lagrangian form, for the steady Lagrangian fluid transport induced by long peristaltic waves (which can be progressive, purely or partially standing) of small amplitude traveling on the boundary of a flexible tube. The first-order oscillatory viscous flow and the higher-order time-mean Lagrangian drifts (or steady streaming) are obtained as functions of the wave properties. Two cases are considered. Firstly, the wave frequency is slow such that the steady-streaming Reynolds number (Re s) is very small and the viscous diffusion is significant across the entire flow region. The time-mean flow can be found in the secondorder problem. Secondly, high-frequency pumping is considered such that Re s = O(1). Under this condition, the flow domain is divided into a thin Stokes boundary layer near the wall and the inviscid core region. The steady streaming in the core region is to be found in the fourth-order problem. Based on the Lagrangian coordinates, all the solutions are analytically expressed. Results are generated to illustrate the effects of wave properties on the Lagrangian transport. The phenomenon of reflux, a backward time-mean flow, is examined in particular. © 2011 The Japan Society of Fluid Mechanics and IOP Publishing Ltd.en_HK
dc.languageengen_US
dc.publisherInstitute of Physics Publishing Ltd. The Journal's web site is located at http://www.iop.org/journals/fdren_HK
dc.relation.ispartofFluid Dynamics Researchen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsFluid Dynamics Research. Copyright © Institute of Physics Publishing Ltd.-
dc.subjectBackward time-
dc.subjectCore region-
dc.subjectFirst-order-
dc.subjectFlexible tubes-
dc.subjectFlow domains-
dc.titleLagrangian transport induced by peristaltic pumping in a tubeen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0169-5983&volume=43&issue=1, article no. 015505&spage=&epage=&date=2011&atitle=Lagrangian+transport+induced+by+peristaltic+pumping+in+a+tube-
dc.identifier.emailNg, CO:cong@hku.hken_HK
dc.identifier.authorityNg, CO=rp00224en_HK
dc.description.naturepostprint-
dc.identifier.doi10.1088/0169-5983/43/1/015505en_HK
dc.identifier.scopuseid_2-s2.0-79551591082en_HK
dc.identifier.hkuros183431en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-79551591082&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume43en_HK
dc.identifier.issue1en_HK
dc.identifier.isiWOS:000286801800005-
dc.publisher.placeUnited Kingdomen_HK
dc.relation.projectA homogenization-based model for roughness-induced apparent slip-
dc.identifier.scopusauthoridMa, Y=26657465200en_HK
dc.identifier.scopusauthoridNg, CO=7401705594en_HK

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