Thick drops on a slowly oscillating substrate

E. S. Benilov*, C. P. Cummins

*Corresponding author for this work

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We examine the evolution of a liquid drop on an inclined substrate oscillating vertically. The oscillations are weak and slow, which makes the liquid's inertia and viscosity negligible (so that the drop's shape is determined by a balance of surface tension, gravity, and vibration-induced inertial force). No assumptions are made about the drop's thickness, which extends our previous results on thin drops [Benilov, Phys. Rev. E 84, 066301 (2011)] to more realistic situations. It is shown that, if the amplitude of the substrate's oscillations exceeds a certain threshold value epsilon(*), the drop climbs uphill. epsilon(*), however, strongly depends on the thickness of the drop, which, in turn, depends on the liquid's equilibrium contact angle (beta) over bar. In particular, there is a dramatic decrease in epsilon(*) when (beta) over bar exceeds a certain threshold, which means that thick drops climb uphill for a much weaker vibration of the substrate. At the same time, the frequency range of the substrate's vibration within which drops climb uphill becomes much narrower.

Original languageEnglish
Article number023013
Number of pages9
JournalPhysical Review E - Statistical, Nonlinear and Soft Matter Physics
Issue number2
Publication statusPublished - 14 Aug 2013
Externally publishedYes



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