Flower patterns in drop impact on thin liquid films

Guillaume Lagubeau; Marco A. Fontelos; Christophe Josserand; Agnès Maurel; Vincent Pagneux; Philippe Petitjeans

doi:10.1103/PhysRevLett.105.184503

Flower patterns in drop impact on thin liquid films

Guillaume Lagubeau, Marco A. Fontelos, Christophe Josserand, Agnès Maurel, Vincent Pagneux, Philippe Petitjeans

Research output: Contribution to journal › Article › peer-review

Abstract

We describe experimentally the formation of a pattern for drop impacts on thin liquid films for a large range of impact parameters. Using the shallow-water approximation, we are able to explain the main mechanisms leading to these patterns: it consists in the linear instability of the self-similar axisymmetric radial solution of the equations. Agreement between the experiments and the theory is remarkably good, leading, in particular, to the prediction that the most unstable fold number scales like (We/h∞)^2/7.

Original language	English
Article number	184503
Journal	Physical Review Letters
Volume	105
Issue number	18
DOIs	https://doi.org/10.1103/PhysRevLett.105.184503
Publication status	Published - 27 Oct 2010
Externally published	Yes

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title = "Flower patterns in drop impact on thin liquid films",

abstract = "We describe experimentally the formation of a pattern for drop impacts on thin liquid films for a large range of impact parameters. Using the shallow-water approximation, we are able to explain the main mechanisms leading to these patterns: it consists in the linear instability of the self-similar axisymmetric radial solution of the equations. Agreement between the experiments and the theory is remarkably good, leading, in particular, to the prediction that the most unstable fold number scales like (We/h∞)2/7.",

author = "Guillaume Lagubeau and Fontelos, \{Marco A.\} and Christophe Josserand and Agn{\`e}s Maurel and Vincent Pagneux and Philippe Petitjeans",

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AU - Fontelos, Marco A.

AU - Josserand, Christophe

AU - Maurel, Agnès

AU - Pagneux, Vincent

AU - Petitjeans, Philippe

PY - 2010/10/27

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N2 - We describe experimentally the formation of a pattern for drop impacts on thin liquid films for a large range of impact parameters. Using the shallow-water approximation, we are able to explain the main mechanisms leading to these patterns: it consists in the linear instability of the self-similar axisymmetric radial solution of the equations. Agreement between the experiments and the theory is remarkably good, leading, in particular, to the prediction that the most unstable fold number scales like (We/h∞)2/7.

AB - We describe experimentally the formation of a pattern for drop impacts on thin liquid films for a large range of impact parameters. Using the shallow-water approximation, we are able to explain the main mechanisms leading to these patterns: it consists in the linear instability of the self-similar axisymmetric radial solution of the equations. Agreement between the experiments and the theory is remarkably good, leading, in particular, to the prediction that the most unstable fold number scales like (We/h∞)2/7.

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DO - 10.1103/PhysRevLett.105.184503

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Flower patterns in drop impact on thin liquid films

Abstract

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