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Recoil of a liquid filament: escape from pinch-off through creation of a vortex ring

Published online by Cambridge University Press:  08 October 2013

Jérôme Hoepffner  and
Gounséti Paré
Jérôme Hoepffner*
Affiliation:
UPMC Univ Paris 06 & CNRS, UMR 7190, Institut Jean Le Rond d’Alembert, F-75005 Paris, France
Gounséti Paré
Affiliation:
UPMC Univ Paris 06 & CNRS, UMR 7190, Institut Jean Le Rond d’Alembert, F-75005 Paris, France
*
†Email address for correspondence: [email protected]
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Abstract

A liquid filament recoils because of its surface tension. It may recoil to one sphere, the geometrical shape with lowest surface, or otherwise segment to several pieces which individually will recoil to spheres. This experiment is classical and its exploration is fundamental to the understanding of how liquid volumes relax. In this paper, we uncover a mechanism involving the creation of a vortex ring which plays a central role in escaping segmentation. The retracting blob is connected to the untouched filament by a neck. The radius of the neck decreases in time such that we may expect pinch-off. There is a flow through the neck because of the retraction. This flow may detach into a jet downstream of the neck when fluid viscosity exceeds a threshold. This sudden detachment creates a vortex ring which strongly modifies the flow pressure: fluid is expelled back into the neck which in turn reopens.

JFM classification

Drops and Bubbles: Drops and Bubbles Interfacial Flows (free surface): Interfacial Flows (free surface) Vortex Flows: Vortex shedding
Type
Papers
Information
Journal of Fluid Mechanics , Volume 734 , 10 November 2013 , pp. 183 - 197
Copyright
©2013 Cambridge University Press 

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