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Dynamics of non-wetting drops confined in a Hele-Shaw cell

Published online by Cambridge University Press:  24 April 2018

Ludovic Keiser Open the ORCID record for Ludovic Keiser [Opens in a new window] ,
Khalil Jaafar ,
José Bico  and
Étienne Reyssat
Ludovic Keiser*
Affiliation:
Laboratoire de Physique et Mécanique des Milieux Hétérogènes (PMMH), CNRS, ESPCI Paris, PSL Research University, 10 rue Vauquelin 75005 Paris, France Sorbonne Université, France Univ. Paris Diderot, France Total S.A., Pôle d’Études et de Recherche de Lacq, BP47 64170 Lacq, France
Khalil Jaafar
Affiliation:
Laboratoire de Physique et Mécanique des Milieux Hétérogènes (PMMH), CNRS, ESPCI Paris, PSL Research University, 10 rue Vauquelin 75005 Paris, France Sorbonne Université, France Univ. Paris Diderot, France
José Bico
Affiliation:
Laboratoire de Physique et Mécanique des Milieux Hétérogènes (PMMH), CNRS, ESPCI Paris, PSL Research University, 10 rue Vauquelin 75005 Paris, France Sorbonne Université, France Univ. Paris Diderot, France
Étienne Reyssat*
Affiliation:
Laboratoire de Physique et Mécanique des Milieux Hétérogènes (PMMH), CNRS, ESPCI Paris, PSL Research University, 10 rue Vauquelin 75005 Paris, France Sorbonne Université, France Univ. Paris Diderot, France
*
†Email addresses for correspondence: [email protected], [email protected]
†Email addresses for correspondence: [email protected], [email protected]
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Abstract

We experimentally investigate the sedimentation of a non-wetting drop confined between two parallel walls. The whole system is immersed in a bath of liquid of low viscosity and a lubricating film may be dynamically formed between the drop and the walls of the cell. Depending on the thickness of the film and on the viscosity ratio between the droplet and the surrounding liquid, viscous dissipation localizes either in the lubrication layer or in the bulk of the drop. The velocity of the droplet is non-trivial as the thickness of the lubricating layer may depend on the interplay between interfacial tension and viscous dissipation. Interestingly, thin films whose nanometric thickness is set by long range intermolecular interactions may lubricate efficiently the motion of highly viscous droplets. We derive asymptotic models that successfully capture the settling velocity of the drop in the different regimes observed experimentally. The effect of partial wetting is finally illustrated by a sharp increase of the velocity of the drops that we attribute to a wetting transition.

JFM classification

Drops and Bubbles: Drops Low-Reynolds-number flows: Hele-Shaw flows Interfacial Flows (free surface): Thin films
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 845 , 25 June 2018 , pp. 245 - 262
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Copyright
© 2018 Cambridge University Press 

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