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Liquid inertia versus bubble cloud buoyancy in circular plunging jet experiments

Published online by Cambridge University Press:  05 January 2024

Narendra Dev Open the ORCID record for Narendra Dev [Opens in a new window] ,
J. John Soundar Jerome Open the ORCID record for J. John Soundar Jerome [Opens in a new window] ,
Hélène Scolan Open the ORCID record for Hélène Scolan [Opens in a new window]  and
Jean-Philippe Matas Open the ORCID record for Jean-Philippe Matas [Opens in a new window]
Narendra Dev
Affiliation:
Univ Lyon, Univ Claude Bernard Lyon 1, CNRS, Ecole Centrale de Lyon, INSA Lyon, LMFA, UMR5509, 69622 Villeurbanne, 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
Hélène Scolan
Affiliation:
Univ Lyon, Univ Claude Bernard Lyon 1, CNRS, Ecole Centrale de Lyon, INSA Lyon, LMFA, UMR5509, 69622 Villeurbanne, France
Jean-Philippe Matas*
Affiliation:
Univ Lyon, Univ Claude Bernard Lyon 1, CNRS, Ecole Centrale de Lyon, INSA Lyon, LMFA, UMR5509, 69622 Villeurbanne, France
*
†Email address for correspondence: jean-philippe.matas@univ-lyon1.fr
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Abstract

When a liquid jet plunges into a pool, it can generate a bubble-laden jet flow underneath the surface. This common and simple phenomenon is investigated experimentally for circular jets to illustrate and quantify the role played by the net gas/liquid void fraction on the maximum bubble penetration depth. It is first shown that an increase in either the impact diameter or the jet fall height to diameter ratio at constant impact momentum leads to a reduction in the bubble cloud size. By measuring systematically the local void fraction using optical probes in the biphasic jet, it is then demonstrated that this effect is a direct consequence of the increase in air content within the cloud. A simple momentum balance model, including only inertia and the buoyancy force, is shown to predict the bubble cloud depth without any fitting parameters. Finally, a Froude number based on the bubble terminal velocity, the cloud depth and also the net void fraction is introduced to propose a simple criterion for the threshold between the inertia-dominated and buoyancy-dominated regimes.

JFM classification

Drops and Bubbles: Bubble dynamics Multiphase and Particle-laden Flows: Gas/liquid flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 978 , 10 January 2024 , A23
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Copyright
© The Author(s), 2024. Published by Cambridge University Press

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Supplementary material: File

Dev et al. supplementary movie 1

Dn= 2.7 mm Vi = 5.92m/s Hf/Dn=20
Download Dev et al. supplementary movie 1(File)
File 7 MB
Supplementary material: File

Dev et al. supplementary movie 2

Dn=2.7 mm Vi =6.05 m/s Hf/Dn=50
Download Dev et al. supplementary movie 2(File)
File 7.2 MB
Supplementary material: File

Dev et al. supplementary movie 3

Dn= 2.7 mm Vi = 10.26m/s Hf/Dn=20
Download Dev et al. supplementary movie 3(File)
File 4.6 MB
Supplementary material: File

Dev et al. supplementary movie 4

Dn= 2.7 mm Vi = 10.26m/s Hf/Dn=20
Download Dev et al. supplementary movie 4(File)
File 7 MB
Supplementary material: File

Dev et al. supplementary movie 5

Dn=8 mm Vi =3.76 m/s Hf/Dn=20
Download Dev et al. supplementary movie 5(File)
File 5.8 MB
Supplementary material: File

Dev et al. supplementary movie 6

Dn=8 mm Vi =3.76 m/s Hf/Dn=20
Download Dev et al. supplementary movie 6(File)
File 2 MB
Supplementary material: File

Dev et al. supplementary movie 7

Dn= 8 mm Vi = 9.6 m/s Hf/Dn=20
Download Dev et al. supplementary movie 7(File)
File 5.4 MB
Supplementary material: File

Dev et al. supplementary movie 8

Dn= 8 mm Vi = 9.6 m/s Hf/Dn=20
Download Dev et al. supplementary movie 8(File)
File 9.6 MB
Supplementary material: File

Dev et al. supplementary movie 9

Dn=8 mm Vi = 9.8 m/s Hf/Dn=100
Download Dev et al. supplementary movie 9(File)
File 9.9 MB
Supplementary material: File

Dev et al. supplementary movie 10

Dn=8 mm Vi = 9.8 m/s Hf/Dn=100
Download Dev et al. supplementary movie 10(File)
File 5 MB