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Bubble rise in a Hele-Shaw cell: bridging the gap between viscous and inertial regimes

Published online by Cambridge University Press:  18 May 2022

Benjamin Monnet ,
Christopher Madec ,
Valérie Vidal Open the ORCID record for Valérie Vidal [Opens in a new window] ,
Sylvain Joubaud Open the ORCID record for Sylvain Joubaud [Opens in a new window]  and
J. John Soundar Jerome Open the ORCID record for J. John Soundar Jerome [Opens in a new window]
Benjamin Monnet
Affiliation:
ENSL, CNRS, Laboratoire de Physique, F-69342 Lyon, France
Christopher Madec
Affiliation:
ENSL, CNRS, Laboratoire de Physique, F-69342 Lyon, France
Valérie Vidal
Affiliation:
ENSL, CNRS, Laboratoire de Physique, F-69342 Lyon, France
Sylvain Joubaud*
Affiliation:
ENSL, CNRS, Laboratoire de Physique, F-69342 Lyon, France Institut Universitaire de France (IUF), 1 rue Descartes, 75005 Paris, France
J. John Soundar Jerome
Affiliation:
Univ Lyon, Univ Claude Bernard Lyon 1, CNRS, Ecole Centrale de Lyon, INSA Lyon, LMFA, UMR5509, 69622 Villeurbanne, France
*
†Email address for correspondence: sylvain.joubaud@ens-lyon.fr
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Abstract

The rise of a single bubble confined between two vertical plates is investigated over a wide range of Reynolds numbers. In particular, we focus on the evolution of the bubble speed, aspect ratio and drag coefficient during the transition from the viscous to the inertial regime. For sufficiently large bubbles, a simple model based on power balance captures the transition for the bubble velocity and matches all the experimental data despite strong time variations of bubble aspect ratio at large Reynolds numbers. Surprisingly, bubbles in the viscous regime systematically exhibit an ellipse elongated along its direction of motion while bubbles in the inertia-dominated regime are always flattened perpendicularly to it.

JFM classification

Drops and Bubbles: Bubble dynamics Low-Reynolds-number flows: Hele-Shaw flows
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 942 , 10 July 2022 , R3
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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Monnet et al. Supplementary Movie 1

Individual bubbles rising for two different Reynolds number (see figure 1(b))

Download Monnet et al. Supplementary Movie 1(Video)
Video 3.7 MB