Comptes Rendus
no. 11-12
Rarefied gas correction for the bubble entrapment singularity in drop impacts
Laurent Duchemin1 ; Christophe Josserand2 
1 IRPHE, CNRS & Aix-Marseille université, 49, rue Joliot-Curie, 13013 Marseille, France
2 Institut DʼAlembert, CNRS & UPMC (Univ. Paris 6) UMR 7190, 4, place Jussieu, 75005 Paris, France
Comptes Rendus. Mécanique, Volume 340 (2012) no. 11-12, pp. 797-803.

We study the non-continuous correction in the dynamics of drop impact on a solid substrate. Close to impact, a thin film of gas is formed beneath the drop so that the local Knudsen number is of order one. We consider the first correction to the dynamics which consists of allowing slip of the gas along the substrate and the interface. We focus on the singular dynamics of entrapment that can be seen when surface tension and liquid viscosity can be neglected. There we show that different dynamical regimes are present that tend to lower the singularity strength. We finally suggest how these effects might be connected to the influence of the gas pressure in the impact dynamics observed in recent experiments.

Publié le :
DOI : 10.1016/j.crme.2012.10.028
Mots clés : Drop impact, Rarefied gas
Laurent Duchemin 1 ; Christophe Josserand 2

1 IRPHE, CNRS & Aix-Marseille université, 49, rue Joliot-Curie, 13013 Marseille, France
2 Institut DʼAlembert, CNRS & UPMC (Univ. Paris 6) UMR 7190, 4, place Jussieu, 75005 Paris, France 
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Laurent Duchemin; Christophe Josserand. Rarefied gas correction for the bubble entrapment singularity in drop impacts. Comptes Rendus. Mécanique, Volume 340 (2012) no. 11-12, pp. 797-803. doi : 10.1016/j.crme.2012.10.028. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2012.10.028/

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