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dc.contributor.authorDiorio, James D.
dc.contributor.authorCho, Yeunwoo
dc.contributor.authorDuncan, James H.
dc.contributor.authorAkylas, Triantaphyllos R.
dc.date.accessioned2014-06-04T15:46:33Z
dc.date.available2014-06-04T15:46:33Z
dc.date.issued2011-03
dc.date.submitted2010-10
dc.identifier.issn0022-1120
dc.identifier.issn1469-7645
dc.identifier.urihttp://hdl.handle.net/1721.1/87624
dc.description.abstractThe wave pattern generated by a pressure source moving over the free surface of deep water at speeds, U, below the minimum phase speed for linear gravity–capillary waves, cmin, was investigated experimentally using a combination of photographic measurement techniques. In similar experiments, using a single pressure amplitude, Diorio et al. (Phys. Rev. Lett., vol. 103, 2009, 214502) pointed out that the resulting surface response pattern exhibits remarkable nonlinear features as U approaches cmin, and three distinct response states were identified. Here, we present a set of measurements for four surface-pressure amplitudes and provide a detailed quantitative examination of the various behaviours. At low speeds, the pattern resembles the stationary state (U = 0), essentially a circular dimple located directly under the pressure source (called a state I response). At a critical speed, but still below cmin, there is an abrupt transition to a wave-like state (state II) that features a marked increase in the response amplitude and the formation of a localized solitary depression downstream of the pressure source. This solitary depression is steady, elongated in the cross-stream relative to the streamwise direction, and resembles freely propagating gravity–capillary ‘lump’ solutions of potential flow theory on deep water. Detailed measurements of the shape of this depression are presented and compared with computed lump profiles from the literature. The amplitude of the solitary depression decreases with increasing U (another known feature of lumps) and is independent of the surface pressure magnitude. The speed at which the transition from states I to II occurs decreases with increasing surface pressure. For speeds very close to the transition point, time-dependent oscillations are observed and their dependence on speed and pressure magnitude are reported. As the speed approaches cmin, a second transition is observed. Here, the steady solitary depression gives way to an unsteady state (state III), characterized by periodic shedding of lump-like disturbances from the tails of a V-shaped pattern.en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (NSF grant DMS-0604416)en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (NSF grant DMS-098122)en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (NSF grant OCE-751853)en_US
dc.description.sponsorshipUnited States. Air Force Office of Scientific Research (AFSOR (grant FA9550-07-0005))en_US
dc.description.sponsorshipARCS Foundationen_US
dc.language.isoen_US
dc.publisherCambridge University Pressen_US
dc.relation.isversionofhttp://dx.doi.org/10.1017/s0022112010005999en_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.sourceProf. Akylas via Angie Locknaren_US
dc.titleResonantly forced gravity–capillary lumps on deep water. Part 1. Experimentsen_US
dc.typeArticleen_US
dc.identifier.citationDiorio, James D., Yeunwoo Cho, James H. Duncan, and T. R. Akylas. “Resonantly Forced Gravity–capillary Lumps on Deep Water. Part 1. Experiments.” J. Fluid Mech. 672 (April 2011): 268–287. © Cambridge University Press 2011.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mechanical Engineeringen_US
dc.contributor.approverAkylas, Triantaphyllosen_US
dc.contributor.mitauthorCho, Yeunwooen_US
dc.contributor.mitauthorAkylas, Triantaphyllos R.en_US
dc.relation.journalJournal of Fluid Mechanicsen_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsDIORIO, JAMES D.; CHO, YEUNWOO; DUNCAN, JAMES H.; AKYLAS, T. R.en_US
dc.identifier.orcidhttps://orcid.org/0000-0002-5246-4574
mit.licensePUBLISHER_POLICYen_US


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