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Article: Mass transport and set-ups due to partial standing surface waves in a two-layer viscous system

TitleMass transport and set-ups due to partial standing surface waves in a two-layer viscous system
Authors
KeywordsEngineering
Hydraulic engineering physics
Issue Date2004
PublisherCambridge University Press. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=FLM
Citation
Journal Of Fluid Mechanics, 2004, v. 520, p. 297-325 How to Cite?
AbstractThis is a theoretical study on the mass transport due to partially reflected long surface waves in a two-layer viscous system, which can be closed or open at its far end. Based on Lagrangian coordinates, a perturbation analysis is carried out to the second order to find the mean Lagrangian drifts in the two layers, where the lower fluid is taken to be much more viscous than the upper one. The free-surface and interfacial set-ups are also found as part of the solutions. A single analytical expression is obtained for the mass transport velocity in each layer, incorporating all the cases where the wave can be progressive, standing or partially standing, and the domain can be closed or open so that a return current may or may not exist. Through some numerical calculations, the patterns of flow in the recirculation cells due to the standing component of the wave, and in the unidirectional drifts due to the progressive component of the wave in a closed system are shown to vary with the lower-layer fluid viscosity. It is possible that, under some specific conditions, the mass transport in the core region of the upper layer is completely quiescent despite the existence of some strong drifts in the lower layer. The mean flow structures in the two layers can also respond rather differently to a change in the reflection coefficient in the presence or the absence of the return current. © 2004 Cambridge University Press.
Persistent Identifierhttp://hdl.handle.net/10722/42140
ISSN
2015 Impact Factor: 2.514
2015 SCImago Journal Rankings: 1.450
ISI Accession Number ID
References

 

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dc.contributor.authorNg, COen_HK
dc.date.accessioned2007-01-08T02:30:03Z-
dc.date.available2007-01-08T02:30:03Z-
dc.date.issued2004en_HK
dc.identifier.citationJournal Of Fluid Mechanics, 2004, v. 520, p. 297-325en_HK
dc.identifier.issn0022-1120en_HK
dc.identifier.urihttp://hdl.handle.net/10722/42140-
dc.description.abstractThis is a theoretical study on the mass transport due to partially reflected long surface waves in a two-layer viscous system, which can be closed or open at its far end. Based on Lagrangian coordinates, a perturbation analysis is carried out to the second order to find the mean Lagrangian drifts in the two layers, where the lower fluid is taken to be much more viscous than the upper one. The free-surface and interfacial set-ups are also found as part of the solutions. A single analytical expression is obtained for the mass transport velocity in each layer, incorporating all the cases where the wave can be progressive, standing or partially standing, and the domain can be closed or open so that a return current may or may not exist. Through some numerical calculations, the patterns of flow in the recirculation cells due to the standing component of the wave, and in the unidirectional drifts due to the progressive component of the wave in a closed system are shown to vary with the lower-layer fluid viscosity. It is possible that, under some specific conditions, the mass transport in the core region of the upper layer is completely quiescent despite the existence of some strong drifts in the lower layer. The mean flow structures in the two layers can also respond rather differently to a change in the reflection coefficient in the presence or the absence of the return current. © 2004 Cambridge University Press.en_HK
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dc.languageengen_HK
dc.publisherCambridge University Press. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=FLMen_HK
dc.relation.ispartofJournal of Fluid Mechanicsen_HK
dc.rightsJournal of Fluid Mechanics. Copyright © Cambridge University Press.en_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectEngineeringen_HK
dc.subjectHydraulic engineering physicsen_HK
dc.titleMass transport and set-ups due to partial standing surface waves in a two-layer viscous systemen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0022-1120&volume=520&issue=1&spage=297&epage=325&date=2004&atitle=Mass+transport+and+set-ups+due+to+partial+standing+surface+waves+in+a+two-layer+viscous+systemen_HK
dc.identifier.emailNg, CO:cong@hku.hken_HK
dc.identifier.authorityNg, CO=rp00224en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1017/S0022112004001624en_HK
dc.identifier.scopuseid_2-s2.0-12144263063en_HK
dc.identifier.hkuros98951-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-12144263063&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume520en_HK
dc.identifier.spage297en_HK
dc.identifier.epage325en_HK
dc.identifier.isiWOS:000226531700012-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridNg, CO=7401705594en_HK

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