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Article: Mass transport in water waves over a thin layer of soft viscoelastic mud

TitleMass transport in water waves over a thin layer of soft viscoelastic mud
Authors
KeywordsEngineering
Hydraulic engineering physics
Issue Date2007
PublisherCambridge University Press. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=FLM
Citation
Journal Of Fluid Mechanics, 2007, v. 573, p. 105-130 How to Cite?
AbstractA theory is presented for the mass transport induced by a small-amplitude progressive wave propagating in water over a thin layer of viscoelastic mud modelled as a Voigt medium. Based on a sharp contrast in length scales near the bed, the boundary-layer approximation is applied to the Navier-Stokes equations in Lagrangian form, which are then solved for the first-order oscillatory motions in the mud and the near-bed water layers. On extending the analysis to second order for the mass transport, it is pointed out that it is inappropriate, as was done in previous studies, to apply the complex viscoelastic parameter to a higher-order analysis, and also to suppose that a Voigt body can undergo continuous steady motion. In fact, the time-mean motion of a Voigt body is only transient, and will stop after a time scale given by the ratio of the viscosity to the shear modulus. Once the mud has attained its steady deformation, the mass transport in the overlying water column can be found as if it were a single-layer system. It is found that the near-bed mass transport has non-trivial dependence on the mud depth and elasticity, which control the occurrence of resonance. Even when the resonance is considerably damped by viscosity, the mass transport in water over a viscoelastic layer can be dramatically different, in terms of magnitude and direction, from that over a rigid bed. © 2007 Cambridge University Press.
Persistent Identifierhttp://hdl.handle.net/10722/44866
ISSN
2015 Impact Factor: 2.514
2015 SCImago Journal Rankings: 1.450
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorNg, COen_HK
dc.contributor.authorZhang, Xen_HK
dc.date.accessioned2007-10-30T06:12:02Z-
dc.date.available2007-10-30T06:12:02Z-
dc.date.issued2007en_HK
dc.identifier.citationJournal Of Fluid Mechanics, 2007, v. 573, p. 105-130en_HK
dc.identifier.issn0022-1120en_HK
dc.identifier.urihttp://hdl.handle.net/10722/44866-
dc.description.abstractA theory is presented for the mass transport induced by a small-amplitude progressive wave propagating in water over a thin layer of viscoelastic mud modelled as a Voigt medium. Based on a sharp contrast in length scales near the bed, the boundary-layer approximation is applied to the Navier-Stokes equations in Lagrangian form, which are then solved for the first-order oscillatory motions in the mud and the near-bed water layers. On extending the analysis to second order for the mass transport, it is pointed out that it is inappropriate, as was done in previous studies, to apply the complex viscoelastic parameter to a higher-order analysis, and also to suppose that a Voigt body can undergo continuous steady motion. In fact, the time-mean motion of a Voigt body is only transient, and will stop after a time scale given by the ratio of the viscosity to the shear modulus. Once the mud has attained its steady deformation, the mass transport in the overlying water column can be found as if it were a single-layer system. It is found that the near-bed mass transport has non-trivial dependence on the mud depth and elasticity, which control the occurrence of resonance. Even when the resonance is considerably damped by viscosity, the mass transport in water over a viscoelastic layer can be dramatically different, in terms of magnitude and direction, from that over a rigid bed. © 2007 Cambridge University Press.en_HK
dc.format.extent285372 bytes-
dc.format.extent364446 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/pdf-
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.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsJournal of Fluid Mechanics. Copyright © Cambridge University Press.en_HK
dc.subjectEngineeringen_HK
dc.subjectHydraulic engineering physicsen_HK
dc.titleMass transport in water waves over a thin layer of soft viscoelastic muden_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0022-1120&volume=573&spage=105&epage=130&date=2007&atitle=Mass+transport+in+water+waves+over+a+thin+layer+of+soft+viscoelastic+muden_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/S0022112006003508en_HK
dc.identifier.scopuseid_2-s2.0-33847249906en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33847249906&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume573en_HK
dc.identifier.spage105en_HK
dc.identifier.epage130en_HK
dc.identifier.isiWOS:000244635500005-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridNg, CO=7401705594en_HK
dc.identifier.scopusauthoridZhang, X=7410270835en_HK

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