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dc.contributor.authorBush, John W. M.
dc.contributor.authorMolacek, Jan
dc.date.accessioned2013-09-12T20:48:41Z
dc.date.available2013-09-12T20:48:41Z
dc.date.issued2013-06
dc.date.submitted2013-04
dc.identifier.issn0022-1120
dc.identifier.issn1469-7645
dc.identifier.urihttp://hdl.handle.net/1721.1/80699
dc.description.abstractWe present the results of a combined experimental and theoretical investigation of millimetric droplets bouncing on a vertically vibrating fluid bath. We first characterize the system experimentally, deducing the dependence of the droplet dynamics on the system parameters, specifically the drop size, driving acceleration and driving frequency. As the driving acceleration is increased, depending on drop size, we observe the transition from coalescing to vibrating or bouncing states, then period-doubling events that may culminate in either walking drops or chaotic bouncing states. The drop’s vertical dynamics depends critically on the ratio of the forcing frequency to the drop’s natural oscillation frequency. For example, when the data describing the coalescence–bouncing threshold and period-doubling thresholds are described in terms of this ratio, they collapse onto a single curve. We observe and rationalize the coexistence of two non-coalescing states, bouncing and vibrating, for identical system parameters. In the former state, the contact time is prescribed by the drop dynamics; in the latter, by the driving frequency. The bouncing states are described by theoretical models of increasing complexity whose predictions are tested against experimental data. We first model the drop–bath interaction in terms of a linear spring, then develop a logarithmic spring model that better captures the drop dynamics over a wider range of parameter space. While the linear spring model provides a faster, less accurate option, the logarithmic spring model is found to be more accurate and consistent with all existing data.en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (Grant CBET-0966452)en_US
dc.description.sponsorshipMIT-France Programen_US
dc.language.isoen_US
dc.publisherCambridge University Pressen_US
dc.relation.isversionofhttp://dx.doi.org/10.1017/jfm.2013.279en_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.sourceMIT web domainen_US
dc.titleDrops bouncing on a vibrating bathen_US
dc.typeArticleen_US
dc.identifier.citationMolacek, Jan, and John W. M. Bush. “Drops bouncing on a vibrating bath.” Journal of Fluid Mechanics 727 (July 28, 2013): 582-611. ©2013 Cambridge University Pressen_US
dc.contributor.mitauthorMolacek, Janen_US
dc.contributor.mitauthorBush, John W. M.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.orderedauthorsMoláček, Jan; Bush, John W. M.en_US
dc.identifier.orcidhttps://orcid.org/0000-0002-7936-7256
mit.licensePUBLISHER_POLICYen_US


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