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Article: On the propagation of a two-dimensional viscous density current under surface waves

TitleOn the propagation of a two-dimensional viscous density current under surface waves
Authors
KeywordsPhysics
Issue Date2002
PublisherAmerican Institute of Physics. The Journal's web site is located at http://ojps.aip.org/phf
Citation
Physics Of Fluids, 2002, v. 14 n. 3, p. 970-984 How to Cite?
AbstractThis study aims to develop an asymptotic theory for the slow spreading of a thin layer of viscous immiscible dense liquid on the bottom of a waterway under the combined effects of surface waves and density current. By virtue of the sharply different length and time scales (wave periodic excitation being effective at fast scales, while gravity and streaming currents at slow scales), a multiple-scale perturbation analysis is conducted. Evolution equations are deduced for the local and global profile distributions of the dense liquid layer as functions of the slow-time variables. When reflected waves are present, the balance between gravity and streaming will result, on a time scale one order of magnitude longer than the wave period, in an undulating water/liquid interface whose displacement amplitude is much smaller than the thickness of the dense liquid layer. On the global scale, the streaming current can predominate and drive the dense liquid to propagate with a distinct pattern in the direction of the surface waves. © 2002 American Institute of Physics.
Persistent Identifierhttp://hdl.handle.net/10722/42139
ISSN
2015 Impact Factor: 2.017
2015 SCImago Journal Rankings: 1.036
ISI Accession Number ID
References

 

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dc.contributor.authorNg, COen_HK
dc.contributor.authorFu, SCen_HK
dc.date.accessioned2007-01-08T02:30:01Z-
dc.date.available2007-01-08T02:30:01Z-
dc.date.issued2002en_HK
dc.identifier.citationPhysics Of Fluids, 2002, v. 14 n. 3, p. 970-984en_HK
dc.identifier.issn1070-6631en_HK
dc.identifier.urihttp://hdl.handle.net/10722/42139-
dc.description.abstractThis study aims to develop an asymptotic theory for the slow spreading of a thin layer of viscous immiscible dense liquid on the bottom of a waterway under the combined effects of surface waves and density current. By virtue of the sharply different length and time scales (wave periodic excitation being effective at fast scales, while gravity and streaming currents at slow scales), a multiple-scale perturbation analysis is conducted. Evolution equations are deduced for the local and global profile distributions of the dense liquid layer as functions of the slow-time variables. When reflected waves are present, the balance between gravity and streaming will result, on a time scale one order of magnitude longer than the wave period, in an undulating water/liquid interface whose displacement amplitude is much smaller than the thickness of the dense liquid layer. On the global scale, the streaming current can predominate and drive the dense liquid to propagate with a distinct pattern in the direction of the surface waves. © 2002 American Institute of Physics.en_HK
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dc.languageengen_HK
dc.publisherAmerican Institute of Physics. The Journal's web site is located at http://ojps.aip.org/phfen_HK
dc.relation.ispartofPhysics of Fluidsen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsPhysics of Fluids. Copyright © American Institute of Physics.en_HK
dc.subjectPhysicsen_HK
dc.titleOn the propagation of a two-dimensional viscous density current under surface wavesen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1070-6631&volume=14&issue=3&spage=970&epage=984&date=2002&atitle=On+the+propagation+of+a+two-dimensional+viscous+density+current+under+surface+wavesen_HK
dc.identifier.emailNg, CO:cong@hku.hken_HK
dc.identifier.authorityNg, CO=rp00224en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1063/1.1448348en_HK
dc.identifier.scopuseid_2-s2.0-0036503703en_HK
dc.identifier.hkuros68310-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0036503703&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume14en_HK
dc.identifier.issue3en_HK
dc.identifier.spage970en_HK
dc.identifier.epage984en_HK
dc.identifier.isiWOS:000173866700010-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridNg, CO=7401705594en_HK
dc.identifier.scopusauthoridFu, SC=8081274900en_HK

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