PMID: 12786010Jun 6, 2003Paper

Fracture of a viscous liquid

Physical Review Letters
Elise LorenceauDavid Quéré

Abstract

When a viscous liquid hits a pool of liquid of the same nature, the impact region is hollowed by the shock. Its bottom becomes extremely sharp if increasing the impact velocity, and we report that the curvature at that place increases exponentially with the flow velocity, in agreement with a theory by Jeong and Moffatt. Such a law defines a characteristic velocity for the collapse of the tip, which explains both the cusplike shape of this region, and the instability of the cusp if increasing (slightly) the impact velocity. Then, a film of the upper phase is entrained inside the pool. We characterize the critical velocity of entrainment of this phase and compare our results with recent predictions by Eggers.

References

May 1, 2001·Physical Review Letters·J Eggers
Jul 20, 2001·Physical Review Letters·T PodgorskiL Limat
Feb 28, 2002·Physical Review Letters·Itai Cohen, Sidney R Nagel

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Citations

Mar 20, 2012·The European Physical Journal. E, Soft Matter·J PeixinhoJ F Morris
Jun 10, 2015·Advances in Colloid and Interface Science·Wiebke Drenckhan, Arnaud Saint-Jalmes
Sep 28, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Itai Cohen
Feb 21, 2006·Physical Review Letters·S Courrech du Pont, J Eggers
Feb 1, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Matthew ThrasherHarry L Swinney
Apr 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jacco H Snoeijer, Leen van Wijngaarden
Apr 19, 2016·Soft Matter·Stefan KarpitschkaJacco H Snoeijer
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·L M Pismen
Mar 21, 2008·Physical Review Letters·Laura E Schmidt, Wendy W Zhang
Dec 9, 2020·Proceedings of the National Academy of Sciences of the United States of America·Sylvain Courrech du Pont, Jens Eggers
Feb 9, 2005·Physical Review Letters·Elise LorenceauJens Eggers
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S T ThoroddsenT G Etoh
Oct 2, 2009·Physical Review Letters·Ivo PetersLaurent Limat
Sep 1, 2007·Langmuir : the ACS Journal of Surfaces and Colloids·Maniya MalekiRamin Golestanian

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