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Interaction between two spherical bubbles rising in a viscous liquid

Hallez, Yannick and Legendre, Dominique Interaction between two spherical bubbles rising in a viscous liquid. (2011) Journal of Fluid Mechanics, 673. 406-431. ISSN 0022-1120

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Official URL: http://dx.doi.org/10.1017/S002211201000635X


The three-dimensional flow around two spherical bubbles moving in a viscous fluid is studied numerically by solving the full Navier-Stokes equations. The study considers the interaction between two bubbles for moderate Reynolds numbers (50 ≤ Re ≤ 500, Re being based on the bubble diameter) and for positions described by the separation S (2.5 ≤ S ≤ 10, S being the distance between the bubble centres normalized by the bubble radius) and the angle θ (0o ≤ θ ≤ 90o ) formed between the line of centre and the direction perpendicular to the direction of the motion. We provide a general description of the interaction extending the results obtained for two bubbles moving side by side (θ = 0o ) by Legendre, Magnaudet & Mougin 2003 (J. Fluid Mech., 497,133-166) and for two bubbles moving in line (θ = 90o ) by Yuan & Prosperetti 1994 (J. Fluid Mech., 278, 325-349). Simple models based on physical arguments are given for the drag and lift forces experienced by each bubble. The interaction is the combination of three effects: a potential effect, a viscous correction (Moore correction) and a significant wake effect observed on both the drag and the transverse force of the second bubble when located in the wake of the first one.

Item Type:Article
Additional Information:Thanks to Cambridge University Press editor. The definitive version is available at http://www.cambridge.org/fr/knowledge/home/item2273191/?site_locale=fr_FR The original PDF of the article can be found at Journal of Fluid Mechanics website : http://www.jfm.damtp.cam.ac.uk/jfm2.html
HAL Id:hal-03544021
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
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Deposited On:15 Jun 2011 13:51

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