Hide metadata

dc.date.accessioned2018-10-03T12:14:17Z
dc.date.created2017-12-21T14:17:01Z
dc.date.issued2018
dc.identifier.citationWeber, Jan Erik H. . An interfacial Gerstner-type trapped wave. Wave motion. 2018, 77, 186-194
dc.identifier.urihttp://hdl.handle.net/10852/65040
dc.description.abstractCoastally trapped rotational interfacial waves are studied theoretically by using a Lagrangian formulation of fluid motion in a rotating ocean. The waves propagate along the interface between two immiscible inviscid incompressible fluid layers of finite depths and different densities, and are trapped at a straight wall due to the Coriolis force. For layers of finite depth, solutions are sought as series expansions after a small parameter. Comparison is made with the irrotational interfacial Kelvin wave. Both types of waves are identical to first order, having zero vorticity. The second order solution yields a relation between the vorticity and the velocity shear in the wave motion. Requiring that the mean motion in both layers is irrotational, then follows the well-known Stokes drift for interfacial Kelvin waves. On the other hand, if the mean forward drift is identically zero, we obtain the second order vorticity in the Gerstner-type wave. The solutions in both layers for the Gerstner-type interfacial wave are given analytically to second order. It is shown that small density differences and thin upper layers both act to yield a shape of the material interfacial with broader crests and sharper troughs. These effects also tend to make the particle trajectories at the interface in both layers become distorted ellipses which are flatter on the upper side. It is concluded that the effect of air excludes the possibility of observing the exact Gerstner wave in deep water.en_US
dc.languageEN
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.titleAn interfacial Gerstner-type trapped waveen_US
dc.title.alternativeENEngelskEnglishAn interfacial Gerstner-type trapped wave
dc.typeJournal articleen_US
dc.creator.authorWeber, Jan Erik H.
dc.date.embargoenddate2019-12-15
cristin.unitcode185,15,22,0
cristin.unitnameInstitutt for geofag
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode1
dc.identifier.cristin1531075
dc.identifier.bibliographiccitationinfo:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Wave motion&rft.volume=77&rft.spage=186&rft.date=2018
dc.identifier.jtitleWave motion
dc.identifier.volume77
dc.identifier.startpage186
dc.identifier.endpage194
dc.identifier.doihttp://dx.doi.org/10.1016/j.wavemoti.2017.12.002
dc.identifier.urnURN:NBN:no-67573
dc.type.documentTidsskriftartikkelen_US
dc.type.peerreviewedPeer reviewed
dc.source.issn0165-2125
dc.identifier.fulltextFulltext https://www.duo.uio.no/bitstream/handle/10852/65040/3/Gerstner_interfacial_revised.pdf
dc.type.versionAcceptedVersion
dc.relation.projectNFR/233901


Files in this item

Appears in the following Collection

Hide metadata

Attribution-NonCommercial-NoDerivatives 4.0 International
This item's license is: Attribution-NonCommercial-NoDerivatives 4.0 International