Instability of a swirling bubble ring

Yonghui Xu; Ivan Delbende; Daniel Fuster; Maurice Rossi

doi:10.5802/crmeca.22

Turbulence

Instability of a swirling bubble ring

Yonghui Xu ¹ ; Ivan Delbende ^2,³ ; Daniel Fuster ⁴ ; Maurice Rossi ⁴

¹ Sorbonne Université, UMR 7190, Institut Jean Le Rond d’Alembert, 75005 Paris, France
² LIMSI, CNRS, Université Paris-Saclay, rue du Belvédère, 91405 Orsay, France
³ Sorbonne Université, UFR d’Ingénierie, 4 place Jussieu, 75005 Paris, France
⁴ CNRS, UMR 7190, Institut Jean Le Rond d’Alembert, 75005 Paris, France

Comptes Rendus. Mécanique, Volume 348 (2020) no. 6-7, pp. 519-535.

Résumé

A toroidal bubble or a cylindrical gas jet are known to be subjected to the Rayleigh–Plateau instability. Air bubble rings produced by beluga whales and dolphins however are observed that remain stable for long times. In the present work, we analyse the generation of such toroidal bubbles via numerical simulations, in particular how the process depends on surface tension. Their stability properties are then briefly analysed. For the estimated Reynolds and Weber numbers relative to the bubbles produced by these animals, the presence of a vortex inside and around the bubble is found to strongly stabilize the Rayleigh–Plateau instability.

Publié le : 2020-11-16

DOI : 10.5802/crmeca.22

Mots clés : Instability, Vortex ring, Two-phase flow, Rayleigh–Plateau, Direct numerical simulation

Affiliations des auteurs :

Yonghui Xu ¹ ; Ivan Delbende ^{2, 3} ; Daniel Fuster ⁴ ; Maurice Rossi ⁴

¹ Sorbonne Université, UMR 7190, Institut Jean Le Rond d’Alembert, 75005 Paris, France
² LIMSI, CNRS, Université Paris-Saclay, rue du Belvédère, 91405 Orsay, France
³ Sorbonne Université, UFR d’Ingénierie, 4 place Jussieu, 75005 Paris, France
⁴ CNRS, UMR 7190, Institut Jean Le Rond d’Alembert, 75005 Paris, France

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     author = {Yonghui Xu and Ivan Delbende and Daniel Fuster and Maurice Rossi},
     title = {Instability of a swirling bubble ring},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {519--535},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {348},
     number = {6-7},
     year = {2020},
     doi = {10.5802/crmeca.22},
     language = {en},
}

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Yonghui Xu; Ivan Delbende; Daniel Fuster; Maurice Rossi. Instability of a swirling bubble ring. Comptes Rendus. Mécanique, Volume 348 (2020) no. 6-7, pp. 519-535. doi : 10.5802/crmeca.22. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.22/

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