Equilibrium conditions for the floating of multiple interfacial objects

Vella, D, Metcale, PD and Whittaker, RJ (2006) Equilibrium conditions for the floating of multiple interfacial objects. Journal of Fluid Mechanics, 549. pp. 215-224. ISSN 0022-1120

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Abstract

We study the effect of interactions between objects floating at fluid interfaces, for the case in which the objects are primarily supported by surface tension. We give conditions on the density and size of these objects for equilibrium to be possible and show that two objects that float when well-separated may sink as the separation between them is decreased. Finally, we examine the equilbrium of a raft of strips floating at an interface, and find that rafts of sufficiently low density may have infinite spatial extent, but that above a critical raft density, all rafts sink if they are sufficiently large. We compare our numerical and asymptotic results with some simple table-top experiments, and find good quantitative agreement.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
Depositing User: Robert Whittaker
Date Deposited: 10 Mar 2011 12:48
Last Modified: 01 Aug 2019 16:30
URI: https://ueaeprints.uea.ac.uk/id/eprint/20892
DOI: 10.1017/S0022112005008013

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