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Asymptotics of a horizontal liquid bridge

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Show simple item record Haynes, Matthew O'Brien, Stephen B.G. Benilov, Eugene 2016-10-17T10:24:18Z 2016
dc.description peer-reviewed en_US
dc.description.abstract This paper uses asymptotic techniques to find the shape of a two dimensional liquid bridge suspended between two vertical walls. We model the equilibrium bridge shape using the Laplace-Young equation. We use the Bond number as a small parameter to deduce an asymptotic solution which is then compared with numerical solutions. The perturbation approach demonstrates that equilibrium is only possible if the contact angle lies within a hysteresis interval and the analysis relates the width of this interval to the Bond number. This result is verified by comparison with a global force balance. In addition, we examine the quasi-static evolution of such a two dimensional bridge. Published by AIP Publishing. en_US
dc.language.iso eng en_US
dc.publisher AIP Publishing en_US
dc.relation.ispartofseries Physics of Fluids;28: 042107
dc.rights Copyright 2016 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics en_US
dc.subject pendant drops en_US
dc.subject contact-angle en_US
dc.subject small sessile en_US
dc.subject shape en_US
dc.subject equations en_US
dc.title Asymptotics of a horizontal liquid bridge en_US
dc.type info:eu-repo/semantics/article en_US
dc.type.supercollection all_ul_research en_US
dc.type.supercollection ul_published_reviewed en_US 2016-10-17T10:16:08Z
dc.description.version PUBLISHED
dc.contributor.sponsor SFI
dc.relation.projectid 12/IA/1683 2017-04-18
dc.embargo.terms 2017-04-18 en_US
dc.rights.accessrights info:eu-repo/semantics/embargoedAccess en_US
dc.internal.rssid 1645050
dc.internal.copyrightchecked Yes
dc.description.status peer-reviewed

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