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Article: Unsteady free-surface waves due to a submerged body moving in a viscous fluid
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TitleUnsteady free-surface waves due to a submerged body moving in a viscous fluid
 
AuthorsLu, DQ2 1
Chwang, ATY
 
KeywordsPhysics
 
Issue Date2005
 
PublisherAmerican Physical Society. The Journal's web site is located at http://pre.aps.org
 
CitationPhysical Review E (Statistical, Nonlinear, and Soft Matter Physics), 2005, v. 71 n. 6, p. 066303:1-8 [How to Cite?]
DOI: http://dx.doi.org/10.1103/PhysRevE.71.066303
 
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.
 
ISSN1539-3755
2013 Impact Factor: 2.326
2013 SCImago Journal Rankings: 0.970
 
DOIhttp://dx.doi.org/10.1103/PhysRevE.71.066303
 
ISI Accession Number IDWOS:000230275000066
 
DC FieldValue
dc.contributor.authorLu, DQ
 
dc.contributor.authorChwang, ATY
 
dc.date.accessioned2007-03-23T04:36:42Z
 
dc.date.available2007-03-23T04:36:42Z
 
dc.date.issued2005
 
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.
 
dc.description.naturepublished_or_final_version
 
dc.format.extent100554 bytes
 
dc.format.extent2993 bytes
 
dc.format.mimetypeapplication/pdf
 
dc.format.mimetypetext/plain
 
dc.identifier.citationPhysical Review E (Statistical, Nonlinear, and Soft Matter Physics), 2005, v. 71 n. 6, p. 066303:1-8 [How to Cite?]
DOI: http://dx.doi.org/10.1103/PhysRevE.71.066303
 
dc.identifier.doihttp://dx.doi.org/10.1103/PhysRevE.71.066303
 
dc.identifier.hkuros100005
 
dc.identifier.isiWOS:000230275000066
 
dc.identifier.issn1539-3755
2013 Impact Factor: 2.326
2013 SCImago Journal Rankings: 0.970
 
dc.identifier.openurl
 
dc.identifier.scopuseid_2-s2.0-27944439784
 
dc.identifier.urihttp://hdl.handle.net/10722/43004
 
dc.languageeng
 
dc.publisherAmerican Physical Society. The Journal's web site is located at http://pre.aps.org
 
dc.rightsPhysical Review E (Statistical, Nonlinear, and Soft Matter Physics). Copyright © American Physical Society.
 
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License
 
dc.subjectPhysics
 
dc.titleUnsteady free-surface waves due to a submerged body moving in a viscous fluid
 
dc.typeArticle
 
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Author Affiliations
  1. The University of Hong Kong
  2. Shanghai University