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Droplet impact on a thin liquid film: anatomy of the splash

Published online by Cambridge University Press:  10 August 2016

Christophe Josserand ,
Pascal Ray  and
Stéphane Zaleski
Christophe Josserand*
Affiliation:
Sorbonne Universités, UPMC Univ Paris 06, UMR 7190, Institut Jean Le Rond d’Alembert, F-75005, Paris, France CNRS, UMR 7190, Institut Jean Le Rond d’Alembert, F-75005, Paris, France
Pascal Ray
Affiliation:
Sorbonne Universités, UPMC Univ Paris 06, UMR 7190, Institut Jean Le Rond d’Alembert, F-75005, Paris, France CNRS, UMR 7190, Institut Jean Le Rond d’Alembert, F-75005, Paris, France
Stéphane Zaleski
Affiliation:
Sorbonne Universités, UPMC Univ Paris 06, UMR 7190, Institut Jean Le Rond d’Alembert, F-75005, Paris, France CNRS, UMR 7190, Institut Jean Le Rond d’Alembert, F-75005, Paris, France
*
†Email address for correspondence: [email protected]
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Abstract

We investigate the dynamics of drop impact on a thin liquid film at short times in order to identify the mechanisms of splash formation. Using numerical simulations and scaling analysis, we show that it depends both on the inertial dynamics of the liquid and the cushioning of the gas. Two asymptotic regimes are identified, characterized by a new dimensionless number $J$: when the gas cushioning is weak, the jet is formed after a sequence of bubbles are entrapped and the jet speed is mostly selected by the Reynolds number of the impact. On the other hand, when the air cushioning is important, the lubrication of the gas beneath the drop and the liquid film controls the dynamics, leading to a single bubble entrapment and a weaker jet velocity.

JFM classification

Drops and Bubbles: Drops Drops and Bubbles: Drops and Bubbles Interfacial Flows (free surface): Interfacial Flows (free surface)
Type
Papers
Information
Journal of Fluid Mechanics , Volume 802 , 10 September 2016 , pp. 775 - 805
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Copyright
© 2016 Cambridge University Press 

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