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dc.contributorVirginia Tech
dc.contributor.authorChoi, J. W.
dc.contributor.authorSun, S. M.
dc.contributor.authorShen, M. C.
dc.date.accessioned2014-04-24T18:34:14Z
dc.date.available2014-04-24T18:34:14Z
dc.date.issued1996-02
dc.identifier.citationChoi, J. W.; Sun, S. M.; Shen, M. C., "internal capillary-gravity waves of a two-layer fluid with free surface over an obstruction - Forced extended KdV equation," Phys. Fluids 8, 397 (1996); http://dx.doi.org/10.1063/1.868793
dc.identifier.issn1070-6631
dc.identifier.urihttp://hdl.handle.net/10919/47633
dc.description.abstractIn this paper we study steady capillary-gravity waves in a two-layer fluid bounded above by a free surface and below by a horizontal rigid boundary with a small obstruction. Two critical speeds for the waves are obtained. Near the smaller critical speed, the derivation of the usual forced KdV equation (FKdV) fails when the coefficient of the nonlinear term in the FKdV vanishes. To overcome this difficulty, a new equation, called a forced extended KdV equation (FEKdV) governing interfacial wave forms, is obtained by a refined asymptotic method. Various solutions and numerical results of this equation are presented. (C) 1996 American Institute of Physics.
dc.description.sponsorshipNational Science Foundation, USA, Grant No. CMS 8903083
dc.description.sponsorshipKorean Science and Engineering Foundation Grant No. KOSEF 951-0101-033-2
dc.language.isoen_US
dc.publisherAIP Publishing
dc.subject2-layer flows
dc.subjectbump
dc.titleinternal capillary-gravity waves of a two-layer fluid with free surface over an obstruction - Forced extended KdV equation
dc.typeArticle
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/pof2/8/2/10.1063/1.868793
dc.date.accessed2014-04-04
dc.title.serialPhysics of Fluids
dc.identifier.doihttps://doi.org/10.1063/1.868793


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