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Maximal deformation of an impacting drop

Published online by Cambridge University Press:  11 October 2004

CHRISTOPHE CLANET
Affiliation:
Institut de Recherche sur les Phénomènes Hors Equilibre, UMR 6594, 49 rue F. Joliot Curie, B.P. 146, 13384 Marseille, France
CÉDRIC BÉGUIN
Affiliation:
Institut de Recherche sur les Phénomènes Hors Equilibre, UMR 6594, 49 rue F. Joliot Curie, B.P. 146, 13384 Marseille, France
DENIS RICHARD
Affiliation:
Laboratoire de Physique de la Matière Condensée, URA 792 du CNRS, Collège de France, 75231 Paris Cedex 05, France
DAVID QUÉRÉ
Affiliation:
Laboratoire de Physique de la Matière Condensée, URA 792 du CNRS, Collège de France, 75231 Paris Cedex 05, France

Abstract

We first study the impact of a liquid drop of low viscosity on a super-hydrophobic surface. Denoting the drop size and speed as $D_{0}$ and $U_{0}$, we find that the maximal spreading $D_{\hbox{\scriptsize\it max}}$ scales as $D_{0}\hbox{\it We}^{1/4}$ where We is the Weber number associated with the shock ($\hbox{\it We}\,{\equiv}\,\rho U_{0}^2 D_{0}/\sigma$, where $\rho$ and $\sigma$ are the liquid density and surface tension). This law is also observed to hold on partially wettable surfaces, provided that liquids of low viscosity (such as water) are used. The law is interpreted as resulting from the effective acceleration experienced by the drop during its impact. Viscous drops are also analysed, allowing us to propose a criterion for predicting if the spreading is limited by capillarity, or by viscosity.

Type
Papers
Copyright
© 2004 Cambridge University Press

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