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Subharmonic spherical bubble oscillations induced by parametric surface modes

Matthieu Guédra, Sarah Cleve, Cyril Mauger, and Claude Inserra
Phys. Rev. E 101, 011101(R) – Published 27 January 2020
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  • INTRODUCTION
  • EXPERIMENTAL SETUP
  • RESULTS
  • CONCLUSIONS
  • ACKNOWLEDGMENTS
    • References

    Abstract

    A potential source of subharmonic bubble emissions is revealed experimentally by high-speed imaging. When an acoustic bubble is driven at sufficiently large pressure amplitudes, energy transfer from surface to volume oscillations can lead to the triggering of subharmonic spherical oscillations. This experimental evidence is in agreement with recent theoretical modeling of nonspherical bubble dynamics accounting for nonlinear mode coupling. Implications for the monitoring of stable cavitation activity are discussed.

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    • Received 17 June 2019

    DOI:https://doi.org/10.1103/PhysRevE.101.011101

    ©2020 American Physical Society

    Physics Subject Headings (PhySH)

    1. Research Areas
    Drops & bubbles
    Fluid Dynamics

    Authors & Affiliations

    Matthieu Guédra1, Sarah Cleve2, Cyril Mauger2, and Claude Inserra1,*

    • 1Univ Lyon, Université Lyon 1, Centre Léon Bérard, INSERM, LabTAU, F-69003, LYON, France
    • 2Univ Lyon, Ecole Centrale de Lyon, INSA Lyon, Université Claude Bernard Lyon I, CNRS, LMFA, UMR 5509, F-69134, ECULLY, France

    • *claude.inserra@inserm.fr

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    Vol. 101, Iss. 1 — January 2020

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    Images

    • Figure 1
      Figure 1

      (a) Schematic representation of the experimental setup. (b) Orientation of the trapped bubble. The axis of symmetry of the bubble is identified by the unit vector eb. (c) Associated side views of the bubble on both cameras. The bubble is oriented as in (b).

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    • Figure 2
      Figure 2

      (a) Temporal evolution of the applied acoustic pressure, the volume, and dominant (n=2,4) surface modes onto a single low-frequency modulation period. The bubble of radius R0=43.8μm is driven at the mean acoustic amplitude Pa=22.5 kPa and modulation amplitude η=0.23. (b) Temporal evolution of the same components as in (a) when zooming on eight acoustic periods, for the time signal windowed at half the modulation period, as illustrated in (a). (c) Fourier coefficients c(f) of the applied acoustic pressure, the volume, and (a2,a4) modes for the same time interval as (b). Average ± standard deviation (n=10). Error bars are calculated by using the modal amplitudes of the considered nonspherical modes, measured over ten successive modulation periods, at the same time after the onset of the predominant shape mode.

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    • Figure 3
      Figure 3

      Temporal evolution of the Fourier coefficients ca0 of the subharmonic component of the spherical oscillation a0(t) and ca2 of the surface mode a2(t). Results are shown over a single modulation period. (a) Experimental results. The low-frequency envelope of the acoustic field is depicted by a dashed line. (b) Theoretical results from the modeling accounting for nonlinear mode coupling. The different curves in continuous, dashed, or dotted lines are obtained for different pairs of variables (Pa,η).

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