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Deutsche Physikalische Gessellschaft IOP Institute of Physics

Resonant and rolling droplet

S Dorbolo, D Terwagne, N Vandewalle and T Gilet

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When an oil droplet is placed on a quiescent oil bath, it eventually collapses into the bath due to gravity. The resulting coalescence may be eliminated when the bath is vertically vibrated. The droplet bounces periodically on the bath, and the air layer between the droplet and the bath is replenished at each bounce. This sustained bouncing motion is achieved when the forcing acceleration is higher than a threshold value. When the droplet has a sufficiently low viscosity, it significantly deforms: spherical harmonic Ym modes are excited, resulting in resonant effects on the threshold acceleration curve. Indeed, a lower acceleration is needed when ℓ modes with m=0 are excited. Modes m≠0 are found to decrease the bouncing ability of the droplet. A break of degeneracy is observed for the m parameter. In particular, when the mode ℓ=2 and m=1 is excited, the droplet rolls on the vibrated surface without touching it, leading to a new self-propulsion mode.


PACS

47.55.D- Drops and bubbles

66.20.-d Viscosity of liquids; diffusive momentum transport

Subjects

Soft matter, liquids and polymers

Fluid dynamics

Dates

Issue 11 (November 2008)

Received 7 July 2008

Published 18 November 2008



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