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Article: A new Lagrangian asymptotic solution for gravity-capillary waves in water of finite depth

TitleA new Lagrangian asymptotic solution for gravity-capillary waves in water of finite depth
Authors
KeywordsGravitycapillary Waves
Lagrangian
Particle Trajectory
Surface Tension
Issue Date2012
PublisherBirkhaeuser Verlag AG. The Journal's web site is located at http://link.springer.de/link/service/journals/00021/index.htm
Citation
Journal Of Mathematical Fluid Mechanics, 2012, v. 14 n. 1, p. 79-94 How to Cite?
AbstractA third-order Lagrangian asymptotic solution is derived for gravity-capillary waves in water of finite depth. The explicit parametric solution gives the trajectory of a water particle and the wave kinematics for Lagrangian points above the mean water level, and in a water column. The water particle orbits and mass transport velocity as functions of the surface tension are obtained. Some remarkable trajectories may contain one or multiple sub-loops for steep waves and large surface tension. Overall, an increase in surface tension tends to increase the motions of surface particles including the relative horizontal distance travelled by a particle as well as the time-averaged drift velocity © 2010 The Author(s).
Persistent Identifierhttp://hdl.handle.net/10722/157176
ISSN
2023 Impact Factor: 1.2
2023 SCImago Journal Rankings: 0.998
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorHsu, HCen_US
dc.contributor.authorNg, COen_US
dc.contributor.authorHwung, HHen_US
dc.date.accessioned2012-08-08T08:45:39Z-
dc.date.available2012-08-08T08:45:39Z-
dc.date.issued2012en_US
dc.identifier.citationJournal Of Mathematical Fluid Mechanics, 2012, v. 14 n. 1, p. 79-94en_US
dc.identifier.issn1422-6928en_US
dc.identifier.urihttp://hdl.handle.net/10722/157176-
dc.description.abstractA third-order Lagrangian asymptotic solution is derived for gravity-capillary waves in water of finite depth. The explicit parametric solution gives the trajectory of a water particle and the wave kinematics for Lagrangian points above the mean water level, and in a water column. The water particle orbits and mass transport velocity as functions of the surface tension are obtained. Some remarkable trajectories may contain one or multiple sub-loops for steep waves and large surface tension. Overall, an increase in surface tension tends to increase the motions of surface particles including the relative horizontal distance travelled by a particle as well as the time-averaged drift velocity © 2010 The Author(s).en_US
dc.languageengen_US
dc.publisherBirkhaeuser Verlag AG. The Journal's web site is located at http://link.springer.de/link/service/journals/00021/index.htmen_US
dc.relation.ispartofJournal of Mathematical Fluid Mechanicsen_US
dc.subjectGravitycapillary Wavesen_US
dc.subjectLagrangianen_US
dc.subjectParticle Trajectoryen_US
dc.subjectSurface Tensionen_US
dc.titleA new Lagrangian asymptotic solution for gravity-capillary waves in water of finite depthen_US
dc.typeArticleen_US
dc.identifier.emailNg, CO:cong@hku.hken_US
dc.identifier.authorityNg, CO=rp00224en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1007/s00021-010-0045-7en_US
dc.identifier.scopuseid_2-s2.0-84857511616en_US
dc.identifier.hkuros198919-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-84857511616&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume14en_US
dc.identifier.issue1en_US
dc.identifier.spage79en_US
dc.identifier.epage94en_US
dc.identifier.isiWOS:000300775400006-
dc.publisher.placeSwitzerlanden_US
dc.identifier.scopusauthoridHsu, HC=7402359665en_US
dc.identifier.scopusauthoridNg, CO=7401705594en_US
dc.identifier.scopusauthoridHwung, HH=7003820839en_US
dc.identifier.citeulike8423847-
dc.identifier.issnl1422-6928-

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