On the deformation of gas bubbles in liquids

Physics of Fluids

Volumn 24, Issue 4, 2012, Pages

  Legendre, Dominique ^a   Zenit, Roberto ^b   Velez Cordero, J Rodrigo ^b  

^a UNIVERSITÉ PAUL SABATIER   (France)

^b UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLE FORMATION; BUBBLES (IN FLUIDS); LIQUIDS;

BUBBLE DEFORMATION; BUBBLE DIAMETER; BUBBLY FLOW; INTERFACIAL AREAS; MORTON NUMBERS; SIMPLE EXPRESSION; VISCOUS LIQUIDS; WEBER NUMBERS;

DEFORMATION;

EID: 84860535471     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4705527     Document Type: Article

References (29)

1. Clift R. Grace J.R. Weber M.E. Bubbles, Drops and Particles 1978, and (Academic, New York).
2. Ellingsen K. Risso F. On the rise of an ellipsoidal bubble in water: oscillatory paths and liquid-induced velocity. J. Fluid Mech. 2001, 440:235. 10.1017/S0022112001004761.
3. Sanada T. Shirota M. Watanabe M. Bubble wake visualization by using photochromic dye. Chem. Eng. Sci. 2007, 62:7264. 10.1016/j.ces.2007.08.037.
4. Mougin G. Magnaudet J. Wake instability of a fixed spheroidal bubble. J. Fluid Mech. 2007, 572:311. 10.1017/S0022112006003442.
5. Zenit R. Magnaudet J. Path instability of rising spheroidal air bubbles: A shape controlled process. Phys. Fluids 2008, 20:061702. 10.1063/1.2940368.
6. Yang B. Prosperetti A. Linear stability of the flow past a spheroidal bubble. J. Fluid Mech. 2007, 582:53. 10.1017/S0022112007005691.
7. Moore D.W. The rise of a gas bubble in a viscous liquid. J. Fluid Mech. 1959, 6:113. 10.1017/S0022112059000520.
8. Maxworthy T. Gnann C. Kurten M. Durst F. Experiments on the rise of air bubbles in clean viscous liquid. J. Fluid Mech. 1996, 321:421. 10.1017/S0022112096007781.
9. Tomiyama A. Kataoka I. Zun I. Sakaguchi T. Drag coefficients of single air bubbles under normal and micro gravity conditions. JSME Int. J., Ser. B 1998, 41:472. 10.1299/jsmeb.41.472.
10. Legendre D. On the relation between the drag and the vorticity produced on a clean bubble. Phys. Fluids 2007, 19:018102. 10.1063/1.2430645.
11. Lochiel A.C. Calderbank P.H. Mass transfer in the continuous phase around axisymmetric bodies of revolution. Chem. Eng. Sci. 1964, 19:471. 10.1016/0009-2509(64)85074-0.
12. Favelukis M. Ly C.H. Unsteady mass transfer around spheroidal drops in potential flow. Chem. Eng. Sci. 2005, 60:7011. 10.1016/j.ces.2005.06.022.
13. Figueroa B. Legendre D. Mass or heat transfer from spheroidal gas bubbles rising through a stationary liquid. Chem. Eng. Sci. 2010, 65:6296. 10.1016/j.ces.2010.09.018.
14. Soto E. Goujon C. Zenit R. Manero O. A study of velocity discontinuity for single air bubbles rising in an associative polymer. Phys. Fluids 2006, 18:121510. 10.1063/1.2397011.
15. Weisstein E.W. CRC Concise Encyclopedia of Mathematics 1998, (CRC, Boca Raton, FL).
16. Huang Z. Efficacité de capture dans les procédés de flottation. 2009 Ph.D. dissertation (Institut National des Sciences Appliquées de Toulouse, Toulouse, France).
17. Sunol F. Gonzalez-Cinca R. Rise, bouncing and coalescence of bubbles impacting at a free surface. Colloids Surf., A 2010, 365:36. 10.1016/j.colsurfa.2010.01.032.
18. Rastello M. Marié J.-L. Lance M. Drag and lift forces on clean spherical and ellipsoidal bubbles in a solid body rotating flow. J. Fluid Mech. 2011, 682:434. 10.1017/jfm.2011.240.
19. Aybers N.M. Tapucu A. Studies on the drag and shape of gas bubbles rising through a stagnant liquid. Wärme-Stoffübertrag. 1969, 2:171. 10.1007/BF00751164.
20. Duineveld P.C. The rise velocity and shape of bubbles in pure water at high Reynolds number. J. Fluid Mech. 1995, 292:325. 10.1017/S0022112095001546.
21. Moore D.W. The velocity of rise of distorted gas bubbles in a liquid of small viscosity. J. Fluid Mech. 1965, 23:749. 10.1017/S0022112065001660.
22. Taylor T.D. Acrivos A. On the deformation and drag of a falling viscous drop at low Reynolds number. J. Fluid Mech. 1964, 18:466. 10.1017/S0022112064000349.
23. Loth E. Quasi-steady shape and drag of deformable bubbles and drops. Int. J. Multiphase Flow 2008, 34:523. 10.1016/j.ijmultiphaseflow.2007.08.010.
24. Riboux G. Risso F. Legendre D. Experimental characterization of the agitation generated by bubbles rising at high Reynolds number. J. Fluid Mech. 2010, 643:509. 10.1017/S0022112009992084.
25. Sarrot V. Huang Z. Legendre D. Guiraud P. Experimental determination of particles capture efficiency in flotation. Chem. Eng. Sci. 2007, 62:7359. 10.1016/j.ces.2007.08.028.
26. Raymond F. Rosant J.-M. A numerical and experimental study of the terminal velocity and shape of bubbles in viscous liquid. Chem. Eng. Sci. 2000, 55:943. 10.1016/S0009-2509(99)00385-1.
27. Kang I.S. Leal L.G. The drag coefficient for a spherical bubble in a uniform streaming flow. Phys. Fluids 1988, 31:233. 10.1063/1.866852.
28. Lai H. Yan Y.Y. Gentle C.R. Calculation procedure for conjugate viscous flows about and inside single bubbles. Numer. Heat Transfer, Part B 2003, 43:241. 10.1080/713836201.
29. Huang Z. Legendre D. Guiraud P. A new experimental method for determining particle capture efficiency in flotation. Chem. Eng. Sci. 2011, 66:982. 10.1016/j.ces.2010.12.006.