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Capillary driven fragmentation of large gas bubbles in turbulence

Aliénor Rivière1, Daniel J. Ruth2, Wouter Mostert3, Luc Deike2,4, and Stéphane Perrard1,5,*

  • 1Physique et Mécanique des Milieux Hétérogènes, CNRS, ESPCI Paris, University PSL, Paris 75005, France
  • 2Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544, USA
  • 3Department of Engineering Science, University of Oxford, Oxford OX1 3PJ, United Kingdom
  • 4High Meadows Environmental Institute, Princeton University, Princeton, New Jersey 08544, USA
  • 5LPENS, Département de Physique, Ecole Normale Supérieure, PSL University, 75005 Paris, France

  • *stephane.perrard@espci.fr
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Phys. Rev. Fluids 7, 083602 – Published 30 August, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.083602

Abstract

The bubble size distribution below a breaking wave is of paramount interest when quantifying mass exchanges between the atmosphere and oceans. Mass fluxes at the interface are driven by bubbles that are small compared with the Hinze scale dh, the critical size below which bubbles are stable, even though individually these are negligible in volume. Combining experimental and numerical approaches, we report a power-law scaling d−3/2 for the small bubble size distribution, for sufficiently large separation of scales between the injection size and the Hinze scale. From an analysis of individual bubble breakups, we show that small bubbles are generated by capillary effects, and that their breakup time scales as d3/2, which physically explains the sub-Hinze scaling observed.

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Phys. Rev. Fluids 7, 083602– Published 30 August, 2022
  • Received 11 June 2021
  • Accepted 21 June 2022
Article part of CHORUS
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