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Article: Unsteady free-surface waves due to a submerged body moving in a viscous fluid

TitleUnsteady free-surface waves due to a submerged body moving in a viscous fluid
Authors
KeywordsPhysics
Issue Date2005
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), 2005, v. 71 n. 6, p. 066303:1-8 How to Cite?
AbstractUnsteady viscous free-surface waves generated by a three-dimensional submerged body moving in an incompressible fluid of infinite depth are investigated analytically. It is assumed that the body experiences a Heaviside step change in velocity at the initial instant. Two categories of the velocity change, (i) from zero to a constant and (ii) from a constant to zero, will be analyzed. The flow is assumed to be laminar and the submerged body is mathematically represented by an Oseenlet. The Green functions for the unbounded unsteady Oseen flows are derived. The solutions in closed integral form for the wave profiles are given. By employing Lighthill's two-stage scheme, the asymptotic representations of free-surface waves in the far wake for large Reynolds numbers are derived. It is shown that the effects of viscosity and submergence depth on the free-surface wave profiles are respectively expressed by the exponential decay factors. Furthermore, the unsteady wave system due to the suddenly starting body consists of two families of steady-state waves and two families of nonstationary waves, which are confined within a finite region. As time increases, the waves move away from the body and the finite region extends to an infinite V-shaped region. It is found that the nonstationary waves are the transient response to the suddenly started motion of the body. The waves due to a suddenly stopping body consist of a transient component only, which vanish as time approaches infinity.
Persistent Identifierhttp://hdl.handle.net/10722/43004
ISSN
2014 Impact Factor: 2.288
2014 SCImago Journal Rankings: 1.034
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorLu, DQen_HK
dc.contributor.authorChwang, ATYen_HK
dc.date.accessioned2007-03-23T04:36:42Z-
dc.date.available2007-03-23T04:36:42Z-
dc.date.issued2005en_HK
dc.identifier.citationPhysical Review E (Statistical, Nonlinear, and Soft Matter Physics), 2005, v. 71 n. 6, p. 066303:1-8en_HK
dc.identifier.issn1539-3755en_HK
dc.identifier.urihttp://hdl.handle.net/10722/43004-
dc.description.abstractUnsteady viscous free-surface waves generated by a three-dimensional submerged body moving in an incompressible fluid of infinite depth are investigated analytically. It is assumed that the body experiences a Heaviside step change in velocity at the initial instant. Two categories of the velocity change, (i) from zero to a constant and (ii) from a constant to zero, will be analyzed. The flow is assumed to be laminar and the submerged body is mathematically represented by an Oseenlet. The Green functions for the unbounded unsteady Oseen flows are derived. The solutions in closed integral form for the wave profiles are given. By employing Lighthill's two-stage scheme, the asymptotic representations of free-surface waves in the far wake for large Reynolds numbers are derived. It is shown that the effects of viscosity and submergence depth on the free-surface wave profiles are respectively expressed by the exponential decay factors. Furthermore, the unsteady wave system due to the suddenly starting body consists of two families of steady-state waves and two families of nonstationary waves, which are confined within a finite region. As time increases, the waves move away from the body and the finite region extends to an infinite V-shaped region. It is found that the nonstationary waves are the transient response to the suddenly started motion of the body. The waves due to a suddenly stopping body consist of a transient component only, which vanish as time approaches infinity.en_HK
dc.format.extent100554 bytes-
dc.format.extent2993 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypetext/plain-
dc.languageengen_HK
dc.publisherAmerican Physical Society. The Journal's web site is located at http://pre.aps.orgen_HK
dc.rightsPhysical Review E (Statistical, Nonlinear, and Soft Matter Physics). Copyright © American Physical Society.en_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectPhysicsen_HK
dc.titleUnsteady free-surface waves due to a submerged body moving in a viscous fluiden_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1539-3755&volume=71&issue=6&spage=066303:1&epage=8&date=2005&atitle=Unsteady+free-surface+waves+due+to+a+submerged+body+moving+in+a+viscous+fluiden_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1103/PhysRevE.71.066303en_HK
dc.identifier.scopuseid_2-s2.0-27944439784-
dc.identifier.hkuros100005-
dc.identifier.isiWOS:000230275000066-

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