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dc.contributor.authorKataoka, T.
dc.contributor.authorAkylas, Triantaphyllos R.
dc.date.accessioned2020-05-27T20:58:46Z
dc.date.available2020-05-27T20:58:46Z
dc.date.issued2020-01
dc.date.submitted2019-10
dc.identifier.issn2469-990X
dc.identifier.urihttps://hdl.handle.net/1721.1/125528
dc.description.abstractMotivated by the laboratory experiments of Rodenborn et al. [Phys. Fluids 23, 026601 (2011)PHFLE61070-663110.1063/1.3553294], a weakly nonlinear model is developed that accounts for viscous dissipation in the reflection of a finite-width internal wave beam from a uniform slope. Asymptotically, at high Reynolds number, viscous effects come into play predominantly in the immediate vicinity of the critical slope angle equal to the propagation angle to the horizontal of the incident wave beam. However, in the experiments of Rodenborn et al. where the Reynolds number is moderately large, it turns out that viscosity is important throughout the slope range considered, which explains the overall poor agreement of their observations with earlier inviscid models. The predictions of the proposed model, by contrast, are in good qualitative, and in some respects quantitative, agreement with these experiments, and they also compare favorably against numerical Navier-Stokes simulations.en_US
dc.description.sponsorshipNSF under Grant No. DMS-1512925en_US
dc.publisherAmerican Physical Society (APS)en_US
dc.relation.isversionofhttp://dx.doi.org/10.1103/PhysRevFluids.5.014803en_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.sourceAmerican Physical Societyen_US
dc.titleViscous reflection of internal waves from a slopeen_US
dc.typeArticleen_US
dc.identifier.citationKataoka, T., and T. R. Akylas. "Viscous reflection of internal waves from a slope." Physical Review Fluids, 5, 1 (January 2020): 014803. © 2020 American Physical Societyen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mechanical Engineeringen_US
dc.relation.journalPhysical Review Fluidsen_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2020-01-14T20:45:27Z
dc.language.rfc3066en
dc.rights.holderAmerican Physical Society
dspace.date.submission2020-01-14T20:45:27Z
mit.journal.volume5en_US
mit.journal.issue1en_US


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