Europhys. Lett, 47 (2), pp. 189-195 (1999)
Oscillation of liquid drops under gravity: Influence of shape on the resonance frequency
M. Perez 1, Y. Brechet 2, L. Salvo 1, M. Papoular 3 and M. Suery 1
1 Génie Physique et Mécanique des Matériaux, UPRESA CNRS 5010
38402 Saint Martin d'Hères Cedex, France
2 Laboratoire de Thermodynamique et de Physico-Chimie Métallurgique
UMR CNRS 5614 BP 75 - 38402 Saint Martin d'Hères Cedex, France
3 Centre de Recherche sur les Très Basses Températures, CNRS BP 166
38042 Grenoble Cedex, France
(received 30 October 1998; accepted in final form 11 May 1999)
PACS. 47.55Dz - Drops and bubbles.
PACS. 47.20Gv - Viscous instability.
PACS. 47.80 - Instrumentation for fluid dynamics.
A recently demonstrated technique of aerodynamic levitation has been used to study the resonance frequency of liquid droplets. A thin pressurized gas layer supports the droplet avoiding any contact with the environment. Due to the external gravitational field, the measured frequency is different from the one predicted by the classical models for a spherical drop. An ellipsoidal shape has been introduced to take into account the competition between surface and gravitational energies. Results of this model are in good agreement with experiments in terms of volume, as well as density and surface energy, dependence of the oscillation frequency.
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