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

dc.contributorUniversidade Estadual Paulista (UNESP)
dc.creatorKharif, C.
dc.creatorKraenkel, Roberto André
dc.creatorManna, M. A.
dc.creatorThomas, R.
dc.date2013-09-30T19:03:32Z
dc.date2014-05-20T14:14:22Z
dc.date2013-09-30T19:03:32Z
dc.date2014-05-20T14:14:22Z
dc.date2010-12-01
dc.date.accessioned2017-04-05T22:10:49Z
dc.date.available2017-04-05T22:10:49Z
dc.identifierJournal of Fluid Mechanics. New York: Cambridge Univ Press, v. 664, p. 138-149, 2010.
dc.identifier0022-1120
dc.identifierhttp://hdl.handle.net/11449/24716
dc.identifier10.1017/S0022112010004349
dc.identifierWOS:000285472300007
dc.identifierWOS000285472300007.pdf
dc.identifierhttp://dx.doi.org/10.1017/S0022112010004349
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/869689
dc.descriptionThe 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.
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.languageeng
dc.publisherCambridge University Press
dc.relationJournal of Fluid Mechanics
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectair/sea interactions
dc.subjectsurface gravity waves
dc.subjectwind-wave interactions
dc.titleThe modulational instability in deep water under the action of wind and dissipation
dc.typeOtro


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