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The break-up of free films pulled out of a pure liquid bath

Published online by Cambridge University Press:  14 December 2016

Lorène Champougny ,
Emmanuelle Rio ,
Frédéric Restagno  and
Benoit Scheid
Lorène Champougny*
Affiliation:
Laboratoire de Physique des Solides, CNRS and Université Paris-Sud, Université Paris Saclay, 91405 Orsay, France
Emmanuelle Rio
Affiliation:
Laboratoire de Physique des Solides, CNRS and Université Paris-Sud, Université Paris Saclay, 91405 Orsay, France
Frédéric Restagno
Affiliation:
Laboratoire de Physique des Solides, CNRS and Université Paris-Sud, Université Paris Saclay, 91405 Orsay, France
Benoit Scheid
Affiliation:
TIPs - Fluid Physics Unit, Université Libre de Bruxelles C.P. 165/67, 1050 Brussels, Belgium
*
†Email address for correspondence: [email protected]
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Abstract

In this paper, we derive a lubrication model to describe the non-stationary free liquid film that is created when a vertical frame is pulled out of a liquid reservoir at a given velocity. We here focus on the case of a pure liquid, corresponding to a stress-free boundary condition at the liquid/air interfaces of the film, and thus employ an essentially extensional description of the flow. Taking into account van der Waals interactions between the interfaces, we observe that film rupture is well defined in time as well as in space, which allows us to compute the critical thickness and the film height at the moment of rupture. The theoretical predictions of the model turn out to be in quantitative agreement with experimental measurements of the break-up height of silicone oil films in a wide range of pulling velocities and supporting fibre diameters.

JFM classification

Drops and Bubbles: Breakup/coalescence Interfacial Flows (free surface): Thin films
Type
Papers
Information
Journal of Fluid Mechanics , Volume 811 , 25 January 2017 , pp. 499 - 524
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Copyright
© 2016 Cambridge University Press 

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