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The modulational instability in deep water under the action of wind and dissipation

dc.contributor.authorKharif, C.
dc.contributor.authorKraenkel, Roberto André [UNESP]
dc.contributor.authorManna, M. A.
dc.contributor.authorThomas, R.
dc.contributor.institutionInstitut de Recherche sur les Phénomènes Hors Equilibre (IRPHE)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversité Montpellier 2
dc.date.accessioned2013-09-30T19:03:32Z
dc.date.accessioned2014-05-20T14:14:22Z
dc.date.available2013-09-30T19:03:32Z
dc.date.available2014-05-20T14:14:22Z
dc.date.issued2010-12-01
dc.description.abstractThe modulational instability of gravity wave trains on the surface of water acted upon by wind and under influence of viscosity is considered. The wind regime is that of validity of Miles' theory and the viscosity is small. By using a perturbed nonlinear Schrodinger equation describing the evolution of a narrow-banded wavepacket under the action of wind and dissipation, the modulational instability of the wave group is shown to depend on both the frequency (or wavenumber) of the carrier wave and the strength of the friction velocity (or the wind speed). For fixed values of the water-surface roughness, the marginal curves separating stable states from unstable states are given. It is found in the low-frequency regime that stronger wind velocities are needed to sustain the modulational instability than for high-frequency water waves. In other words, the critical frequency decreases as the carrier wave age increases. Furthermore, it is shown for a given carrier frequency that a larger friction velocity is needed to sustain modulational instability when the roughness length is increased.en
dc.description.affiliationInst Rech Phenomenes Hors Equilibre, F-13384 Marseille 13, France
dc.description.affiliationUniv Estadual Paulista, Inst Fis Teor, BR-01405900 São Paulo, Brazil
dc.description.affiliationUniv Montpellier 2, CNRS, UMR 5207, Lab Phys Theor & Astroparticules, F-34095 Montpellier 05, France
dc.description.affiliationUnespUniv Estadual Paulista, Inst Fis Teor, BR-01405900 São Paulo, Brazil
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.format.extent138-149
dc.identifierhttp://dx.doi.org/10.1017/S0022112010004349
dc.identifier.citationJournal of Fluid Mechanics. New York: Cambridge Univ Press, v. 664, p. 138-149, 2010.
dc.identifier.doi10.1017/S0022112010004349
dc.identifier.fileWOS000285472300007.pdf
dc.identifier.issn0022-1120
dc.identifier.urihttp://hdl.handle.net/11449/24716
dc.identifier.wosWOS:000285472300007
dc.language.isoeng
dc.publisherCambridge University Press
dc.relation.ispartofJournal of Fluid Mechanics
dc.relation.ispartofjcr2.893
dc.relation.ispartofsjr1,591
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectair/sea interactionsen
dc.subjectsurface gravity wavesen
dc.subjectwind-wave interactionsen
dc.titleThe modulational instability in deep water under the action of wind and dissipationen
dc.typeArtigo
dcterms.licensehttp://journals.cambridge.org/action/displaySpecialPage?pageId=4676#
dcterms.rightsHolderCambridge Univ Press
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Física Teórica (IFT), São Paulopt

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