Acoustic microstreaming produced by nonspherical oscillations of a gas bubble. I. Case of modes 0 and m

Alexander A. Doinikov, Sarah Cleve, Gabriel Regnault, Cyril Mauger, and Claude Inserra
Phys. Rev. E 100, 033104 – Published 10 September 2019
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Abstract

A theory is developed that allows one to model the velocity field of acoustic microstreaming produced by nonspherical oscillations of an acoustically driven gas bubble. It is assumed that some of the bubble oscillation modes are excited parametrically and hence can oscillate at frequencies different from the driving frequency. Analytical solutions are derived in terms of complex amplitudes of oscillation modes, which means that the mode 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 radius to the viscous penetration depth. The present paper is the first part of our study in which a general theory is developed and then applied to the case that acoustic microstreaming is generated by the interaction of the breathing mode (mode 0) with a mode of arbitrary order m1. Examples of numerical simulations and a comparison with experimental results are provided.

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  • Received 19 January 2019
  • Revised 23 August 2019
  • Corrected 15 July 2021

DOI:https://doi.org/10.1103/PhysRevE.100.033104

©2019 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Corrections

15 July 2021

Correction: Equations (17, 18, 19), (B31)–(B33), (B38), and (B39) contained minor sign errors and have been fixed. MATLAB codes have been corrected in the Supplemental Material.

Authors & Affiliations

Alexander A. Doinikov1, Sarah Cleve1, Gabriel Regnault1, Cyril Mauger1, and Claude Inserra2,*

  • 1Univ Lyon, INSA Lyon, Ecole Centrale de Lyon, Université Claude Bernard Lyon I, CNRS, LMFA, UMR 5509, F-69621 Villeurbanne, France
  • 2Univ Lyon, Université Lyon 1, Centre Léon Bérard, INSERM, LabTAU, F-69003 Lyon, France

  • *Corresponding author: claude.inserra@inserm.fr

See Also

Acoustic microstreaming produced by nonspherical oscillations of a gas bubble. II. Case of modes 1 and m

Alexander A. Doinikov, Sarah Cleve, Gabriel Regnault, Cyril Mauger, and Claude Inserra
Phys. Rev. E 100, 033105 (2019)

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Vol. 100, Iss. 3 — September 2019

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