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Article: Lagrangian transport induced by peristaltic pumping in a closed channel

TitleLagrangian transport induced by peristaltic pumping in a closed channel
Authors
KeywordsPhysics
Issue Date2009
PublisherAmerican Physical Society. The Journal's web site is located at http://pre.aps.org
Citation
Physical Review E - Statistical, Nonlinear, And Soft Matter Physics, 2009, v. 80 n. 5 How to Cite?
AbstractLagrangian transport induced by peristaltic waves traveling on the boundaries of a two-dimensional rectangular closed channel is studied analytically. Based on the Lagrangian description, an asymptotic analysis is performed to generate explicit expressions for the leading-order oscillatory as well as the higher-order time-mean mass transport (or steady streaming) velocities as functions of the wave properties. Two cases are considered. The first case, which is for slow wave frequency or very small wave amplitude such that the steady-streaming Reynolds number (Res) is very small, recovers the one studied previously in the literature, but with all the results fully presented in the Lagrangian sense. The second case, corresponding to high-frequency pumping such as Res is order unity, is where it has been handled analytically. It is found that the overall mixing resulting from the mass transport can depend on the phase shift of the two waves, the wave number, the frequency, as well as the amplitude of the waves. © 2009 The American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/76201
ISSN
2014 Impact Factor: 2.288
2015 SCImago Journal Rankings: 0.999
ISI Accession Number ID
Funding AgencyGrant Number
Research Grants Council of the Hong Kong Special Administrative Region, ChinaHKU 7156/09E
Funding Information:

The work was supported by the Research Grants Council of the Hong Kong Special Administrative Region, China through Project No. HKU 7156/09E.

References

 

DC FieldValueLanguage
dc.contributor.authorNg, COen_HK
dc.contributor.authorMa, Yen_HK
dc.date.accessioned2010-09-06T07:18:37Z-
dc.date.available2010-09-06T07:18:37Z-
dc.date.issued2009en_HK
dc.identifier.citationPhysical Review E - Statistical, Nonlinear, And Soft Matter Physics, 2009, v. 80 n. 5en_HK
dc.identifier.issn1539-3755en_HK
dc.identifier.urihttp://hdl.handle.net/10722/76201-
dc.description.abstractLagrangian transport induced by peristaltic waves traveling on the boundaries of a two-dimensional rectangular closed channel is studied analytically. Based on the Lagrangian description, an asymptotic analysis is performed to generate explicit expressions for the leading-order oscillatory as well as the higher-order time-mean mass transport (or steady streaming) velocities as functions of the wave properties. Two cases are considered. The first case, which is for slow wave frequency or very small wave amplitude such that the steady-streaming Reynolds number (Res) is very small, recovers the one studied previously in the literature, but with all the results fully presented in the Lagrangian sense. The second case, corresponding to high-frequency pumping such as Res is order unity, is where it has been handled analytically. It is found that the overall mixing resulting from the mass transport can depend on the phase shift of the two waves, the wave number, the frequency, as well as the amplitude of the waves. © 2009 The American Physical Society.en_HK
dc.languageengen_HK
dc.publisherAmerican Physical Society. The Journal's web site is located at http://pre.aps.orgen_HK
dc.relation.ispartofPhysical Review E - Statistical, Nonlinear, and Soft Matter Physicsen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsPhysical Review E (Statistical, Nonlinear, and Soft Matter Physics). Copyright © American Physical Society.en_HK
dc.subjectPhysics-
dc.titleLagrangian transport induced by peristaltic pumping in a closed channelen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1539-3755&volume=80&issue=5 article no. 056307&spage=&epage=&date=2009&atitle=Lagrangian+transport+induced+by+peristaltic+pumping+in+a+closed+channelen_HK
dc.identifier.emailNg, CO:cong@hku.hken_HK
dc.identifier.authorityNg, CO=rp00224en_HK
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1103/PhysRevE.80.056307en_HK
dc.identifier.pmid20365073-
dc.identifier.scopuseid_2-s2.0-71449126442en_HK
dc.identifier.hkuros168273en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-71449126442&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume80en_HK
dc.identifier.issue5en_HK
dc.identifier.isiWOS:000272309700044-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridNg, CO=7401705594en_HK
dc.identifier.scopusauthoridMa, Y=26657465200en_HK

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