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Resonant and rolling droplet

2008/06/30 by S. Dorbolo, Denis Terwagne, D. Terwagne +4 · 1 citation
Engineering · Materials Science · Physics and Astronomy · #Electrohydrodynamics and Fluid Dynamics #Fluid Dynamics and Heat Transfer #Surface Modification and Superhydrophobicity #physics.flu-dyn

paper · pdf · doi:10.1088/1367-2630/10/11/113021

4 pages, 6 figures

arxiv created 2008/06/30 · openalex publication_date 2008/11/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

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 Y ℓ m 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.

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