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Velocity and energy of periodic travelling interfacial waves between two bounded fluids

authorProfile.emailbiblioteca@isel.pt
datacite.subject.fosCiências Naturais::Matemáticas
dc.contributor.authorCal, Filipe
dc.contributor.authorDias, Gonçalo A. S.
dc.date.accessioned2025-09-02T12:30:55Z
dc.date.available2025-09-02T12:30:55Z
dc.date.issued2023-12
dc.description.abstractFor a periodic travelling irrotational wave propagating at the interface between two homogeneous, incompressible and inviscid fluids bounded by horizontal planes, we generalise the Stokes definitions for the velocity of the wave propagation. Under certain conditions imposed on the horizontal velocity of the motion at the interface and supposing that the horizontal components of the velocity in each layer never reach the wave speed, we prove that the mean horizontal velocity of propagation of the wave is greater than the generalised mean horizontal velocity of the mass of the fluid. We show that, for interfacial waves of small amplitude, the excess kinetic and potential energy of the fluid have the same magnitude, but different signs, and for the nonlinear setting, we prove that the excess kinetic energy is negative.eng
dc.identifier.citationCal, F. S., & Dias, G. A. S. (2023). Velocity and energy of periodic travelling interfacial waves between two bounded fluids. Wave Motion, 123, 1-12. https://doi.org/10.1016/j.wavemoti.2023.103232
dc.identifier.doihttps://doi.org/10.1016/j.wavemoti.2023.103232
dc.identifier.issn1878-433X
dc.identifier.urihttp://hdl.handle.net/10400.21/22090
dc.language.isoeng
dc.peerreviewedyes
dc.publisherElsevier
dc.relationUIDB/04674/2020
dc.relation.hasversionhttps://www.sciencedirect.com/science/article/pii/S016521252300118X?via%3Dihub
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectInterfacial waves
dc.subjectTwo-layer fluid
dc.subjectVelocity of propagation
dc.subjectWave energy
dc.titleVelocity and energy of periodic travelling interfacial waves between two bounded fluidseng
dc.typeresearch article
dspace.entity.typePublication
oaire.citation.endPage12
oaire.citation.startPage1
oaire.citation.titleWave Motion
oaire.citation.volume123
oaire.versionhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43
person.familyNameCal
person.givenNameFilipe
person.identifier.ciencia-id2D11-074F-4D79
person.identifier.orcid0000-0003-3794-9191
relation.isAuthorOfPublicationbafcb29f-24db-4cb4-885c-92cfccbf2132
relation.isAuthorOfPublication.latestForDiscoverybafcb29f-24db-4cb4-885c-92cfccbf2132

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