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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(Document in English)
PDF (Author's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 912kB |
Official URL: http://dx.doi.org/10.1017/S002211201000635X
Abstract
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 |
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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) |
Laboratory name: | Laboratoire de Génie Chimique - LGC (Toulouse, France) - Génie des Interfaces & Milieux Divisés (GIMD) Institut de Mécanique des Fluides de Toulouse - IMFT (Toulouse, France) - INTERFACE |
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Deposited On: | 15 Jun 2011 13:51 |
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