Equilibrium Conditions for the Floating of Multiple Interfacial Objects
Authors:
- Dominic VellaDVDominic Vella
- Paul MetcalfePMPaul Metcalfe
- Robert WhittakerRWRobert Whittaker
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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 the objects 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.Keywords
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This publication has 8 references indexed in Scilit:
- WALKING ON WATER: Biolocomotion at the InterfaceAnnual Review of Fluid Mechanics, 2006
- The interfacial torque on a partially submerged sphereJournal of Colloid and Interface Science, 2004
- Elasticity of an interfacial particle raftEurophysics Letters, 2004
- The hydrodynamics of water strider locomotionNature, 2003
- On the capillary interaction between solid plates forming menisci on the surface of a liquidJournal of Fluid Mechanics, 2002
- Self-Assembly at All ScalesScience, 2002
- Surface tension force on a partly submerged bodyPhysics of Fluids, 1998
- Equilibrium and mutual attraction or repulsion of objects supported by surface tensionPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1997