Instability of a swirling bubble ring

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 numeri...

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Main Authors: Xu, Yonghui, Delbende, Ivan, Fuster, Daniel, Rossi, Maurice
Format: Article
Language:English
Published: Académie des sciences 2020-11-01
Series:Comptes Rendus. Mécanique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.22/
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author Xu, Yonghui
Delbende, Ivan
Fuster, Daniel
Rossi, Maurice
author_facet Xu, Yonghui
Delbende, Ivan
Fuster, Daniel
Rossi, Maurice
author_sort Xu, Yonghui
collection DOAJ
description 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.
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spelling doaj.art-5717bc4c6b384dc0be3e943438ffa7882023-10-24T14:20:55ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342020-11-013486-751953510.5802/crmeca.2210.5802/crmeca.22Instability of a swirling bubble ringXu, Yonghui0Delbende, Ivan1Fuster, Daniel2Rossi, Maurice3Sorbonne Université, UMR 7190, Institut Jean Le Rond d’Alembert, 75005 Paris, FranceLIMSI, CNRS, Université Paris-Saclay, rue du Belvédère, 91405 Orsay, France; Sorbonne Université, UFR d’Ingénierie, 4 place Jussieu, 75005 Paris, FranceCNRS, UMR 7190, Institut Jean Le Rond d’Alembert, 75005 Paris, FranceCNRS, UMR 7190, Institut Jean Le Rond d’Alembert, 75005 Paris, FranceA 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.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.22/InstabilityVortex ringTwo-phase flowRayleigh–PlateauDirect numerical simulation
spellingShingle Xu, Yonghui
Delbende, Ivan
Fuster, Daniel
Rossi, Maurice
Instability of a swirling bubble ring
Comptes Rendus. Mécanique
Instability
Vortex ring
Two-phase flow
Rayleigh–Plateau
Direct numerical simulation
title Instability of a swirling bubble ring
title_full Instability of a swirling bubble ring
title_fullStr Instability of a swirling bubble ring
title_full_unstemmed Instability of a swirling bubble ring
title_short Instability of a swirling bubble ring
title_sort instability of a swirling bubble ring
topic Instability
Vortex ring
Two-phase flow
Rayleigh–Plateau
Direct numerical simulation
url https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.22/
work_keys_str_mv AT xuyonghui instabilityofaswirlingbubblering
AT delbendeivan instabilityofaswirlingbubblering
AT fusterdaniel instabilityofaswirlingbubblering
AT rossimaurice instabilityofaswirlingbubblering