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Acoustic microstreaming produced by two interacting gas bubbles undergoing axisymmetric shape oscillations

Published online by Cambridge University Press:  26 November 2021

Alexander A. Doinikov ,
Gabriel Regnault ,
Cyril Mauger ,
Philippe Blanc-Benon  and
Claude Inserra Open the ORCID record for Claude Inserra [Opens in a new window]
Alexander A. Doinikov
Affiliation:
Univ Lyon, Collegium de Lyon, Ecole Centrale de Lyon, INSA Lyon, CNRS, LMFA UMR 5509, F-69002Lyon, France
Gabriel Regnault
Affiliation:
Univ Lyon, École Centrale de Lyon, INSA Lyon, CNRS, LMFA UMR 5509, F-69134Écully, France
Cyril Mauger
Affiliation:
Univ Lyon, École Centrale de Lyon, INSA Lyon, CNRS, LMFA UMR 5509, F-69134Écully, France
Philippe Blanc-Benon
Affiliation:
Univ Lyon, École Centrale de Lyon, INSA Lyon, CNRS, LMFA UMR 5509, F-69134Écully, France
Claude Inserra*
Affiliation:
Univ Lyon, Université Claude Bernard Lyon 1, Centre Léon Bérard, INSERM, UMR 1032, LabTAU, F-69003Lyon, France
*
† Email address for correspondence: claude.inserra@inserm.fr
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Abstract

An analytical theory is developed that describes acoustic microstreaming produced by two interacting bubbles. The bubbles are assumed to undergo axisymmetric oscillation modes, which can include radial oscillations, translation and shape modes. Analytical solutions are derived in terms of complex amplitudes of oscillation modes, which means that the modal amplitudes are assumed to be known and serve as input data when the velocity field of acoustic microstreaming is calculated. No restrictions are imposed on the ratio of the bubble radii to the viscous penetration depth and the distance between the bubbles. The interaction between the bubbles is considered both when the linear velocity field is calculated and when the second-order velocity field of acoustic microstreaming is calculated. Capabilities of the analytical theory are illustrated by computational examples.

JFM classification

Drops and Bubbles: Bubble dynamics
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 931 , 25 January 2022 , A19
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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