Wake instability of a fixed axisymmetric bubble of realistic shape

International Journal of Multiphase Flow

Volumn 51, Issue , 2013, Pages 11-21

  Cano Lozano, J C ^a   Bohorquez, P ^a   Martinez Bazan C ^a  

^a UNIVERSITY OF JAÉN   (Spain)

Author keywords

Bubble motion; Bubble shape; Leonardo's paradox; Zigzag motion

Indexed keywords

ACCELERATION DUE TO GRAVITY; AXISYMMETRIC; AXISYMMETRIC BUBBLE SHAPES; AZIMUTHAL VORTICITY; BUBBLE MOTION; BUBBLE SHAPES; CRITICAL CURVE; DYNAMIC VISCOSITIES; EQUIVALENT DIAMETER; FLOW DYNAMICS; FLUID MOTIONS; LEONARDO'S PARADOX; LIQUID PHASE; NON-DIMENSIONAL PARAMETERS; SINGLE BUBBLES; SURFACE TENSION COEFFICIENT; TERMINAL VELOCITY; WAKE INSTABILITIES; ZIGZAG MOTION;

ASPECT RATIO; LIQUIDS; REYNOLDS NUMBER; SURFACE TENSION;

BUBBLES (IN FLUIDS);

EID: 84872527891     PISSN: 03019322     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmultiphaseflow.2012.11.005     Document Type: Article

References (58)

1. Agarwal A., Tai C.F., Chung J.N. Unsteady development of a deformable bubble rising in a quiescent liquid. Comput. Methods Appl. Mech. Eng. 2010, 199:1080-1090.
2. Atefia G.H., Niazmanda H., Meigounpoorya M.R. Numerical analysis of 3D flow past a stationary sphere with slip condition at low and moderate Reynolds numbers. J. Disp. Sci. Technol. 2007, 28:591-602.
3. Aybers N., Tapucu A. Studies on the drag and shape of gas bubbles rising through a stagnant liquid. Wärme-Stoffübertragung 1969, 2:171-177.
4. Bhaga, D., 1976. Bubbles in Viscous Liquids: Shapes, Wakes and Velocities. Ph.D. thesis, McGill University, Montreal.
5. Bhaga D., Weber M.E. Bubbles in viscous liquids: shapes, wakes and velocities. J. Fluid Mech. 1981, 105:61-85.
6. Blanco A., Magnaudet J. The structure of the axisymmetric high-Reynolds number flow around an ellipsoidal bubble of fixed shape. Phys. Fluids 1995, 7:1265-1274.
7. Bohorquez P., Sanmiguel-Rojas E., Sevilla A., Jiménez-González J.I., Martínez-Bazán C. Stability and dynamics of the laminar wake past a slender blunt-based axisymmetric body. J. Fluid Mech. 2011, 676:110-144.
8. Brücker C. Structure and dynamics of the wake of bubbles and its relevance for bubble interaction. Phys. Fluids 1999, 11:1781-1795.
9. Clift R., Grace J.R., Weber M.E. Bubbles, Drops and Particles 1978, Academic Press, New York.
10. Cuenot B., Magnaudet J., Spennato B. The effects of slightly soluble surfactants on the flow around a spherical bubble. J. Fluid Mech. 1997, 339:25-53.
11. de Vries, A.W.G., 2001. Path and Wake of a Rising Bubble. Ph.D. thesis, University of Twente.
12. de Vries A.W.G., Biesheuvel A., Van Wijngaarden L. Notes on the path and wake of a gas bubble rising in pure water. Int. J. Multiphase Flow 2002, 28:1823-1835.
13. Duineveld P.C. Rise velocity and shape of bubbles in pure water at high Reynolds number. J. Fluid Mech. 1995, 292:325-332.
14. Ellingsen K., Risso F. On the rise of an ellipsoidal bubble in water: oscillatory paths and liquid-induced velocity. J. Fluid Mech. 2001, 440:235-268.
15. Ern P., Risso F., Fabre D., Magnaudet J. Wake-induced oscillatory paths of bodies freely rising or falling in fluids. Annu. Rev. Fluid Mech. 2011, 44:97-121.
16. Feng J.Q. A spherical-cap bubble moving at terminal velocity in a viscous liquid. J. Fluid Mech. 2007, 579:347-371.
17. Gaudlitz D., Adams N.A. Numerical investigation of rising bubble wake and shape variations. Phys. Fluids 2009, 21:122102.
18. Ghidersa B., DuŠek J. Breaking of axisymmetry and onset of unsteadiness in the wake of a sphere. J. Fluid Mech. 2000, 423:33-69.
19. Haberman, W.L., Morton, R.K., 1953. An Experimental Investigation of the Drag and Shape of Air Bubbles Rising in Various Liquids. Tech. Rep. 802, Navy Department. The David W. Taylor Model Basin.
20. Hartunian R.A., Sears W.R. On the instability of small gas bubbles moving uniformly in various liquids. J. Fluid Mech. 1957, 3:27-47.
21. Hua J., Lou J. Numerical simulation of bubble rising in viscous liquid. J. Comput. Phys. 2007, 222:769-795.
22. Legendre D., Lauga E., Magnaudet J. Influence of slip on the dynamics of two-dimensional wakes. J. Fluid Mech. 2009, 633:437-447.
23. Lindt J.T. On the periodic nature of the drag on a rising bubble. Chem. Eng. Sci. 1972, 27:1775-1781.
24. Lunde K., Perkins R.J. Shape oscillations of rising bubbles. Appl. Sci. Res. 1998, 58:387-408.
25. Magnaudet J., Eames I. The motion of high-Reynolds number bubbles in inhomogeneous flows. Annu. Rev. Fluid Mech. 2000, 32:659-708.
26. Magnaudet J., Mougin G. Wake instability of a fixed spheroidal bubble. J. Fluid Mech. 2007, 572:311-337.
27. Maxworthy T., Gnann C., Kürten M., Durst F. Experiments on the rise of air bubbles in clean viscous liquids. J. Fluid Mech. 1996, 321:421-441.
28. Meiron D.I. On the stability of gas bubbles rising in an inviscid fluid. J. Fluid Mech. 1989, 198:101-114.
29. Moore D.W. The rise of a gas bubble in a viscous liquid. J. Fluid Mech. 1959, 6:113-130.
30. Moore D.W. The boundary layer on a spherical gas bubble. J. Fluid Mech. 1963, 16:161-176.
31. Mougin G., Magnaudet J. The generalized Kirchhoff equations and their application to the interaction between a rigid body and an arbitrary time-dependent viscous flow. Int. J. Multiphase Flow 2002, 28:1837-1851.
32. Mougin G., Magnaudet J. Path instability of a rising bubble. Phys. Rev. Lett. 2002, 88:145021-145024.
33. Nakamura I. Steady wake behind a sphere. Phys. Fluids 1976, 19:5-8.
34. Ohl C.D., Tijink A., Prosperetti A. The added mass of an expanding bubble. J. Fluid Mech. 2003, 482:271-290.
35. Ohta M., Imura T., Yoshida Y., Sussman M. A computational study of the effect of initial bubble conditions on the motion of a gas bubble rising in viscous liquids. Int. J. Multiphase Flow 2005, 31:223-237.
36. Popinet S. An accurate adaptive solver for surface-tension-driven interfacial flows. J. Comput. Phys. 2009, 228:5838-5866.
37. Prosperetti A. Bubbles. Phys. Fluids 2004, 16:1852-1865.
38. Prosperetti A., Ohl C.D., Tijink A., Mougin G., Magnaudet J. Leonardo's paradox. Appendix to C.D. Ohl, A. Tijink and A. Prosperetti. J. Fluid Mech. 2003, 482:286-289.
39. Ryskin G., Leal L.G. Numerical solution of free-boundary problems in fluid mechanics. Part 2. Buoyancy-driven motion of a gas bubble through a quiescent liquid. J. Fluid Mech. 1984, 148:19-35.
40. Saffman P.G. On the rise of small air bubbles in water. J. Fluid Mech. 1956, 1:249-275.
41. Sanada T., Shirota M., Watanabe M. Bubble wake visualization by using photochromic dye. Chem. Eng. Sci. 2007, 62:7264-7273.
42. Sanada T., Shirota M., Yokojima S., Takagi S. Drag force acting on an ellipsoidal bubble with fore-aft asymmetry. Japanese J. Multiphase Flow 2010, 24:523-530.
43. Sanmiguel-Rojas E., Sevilla A., Martínez-Bazán C., Chomaz J.-M. Global mode analysis of axisymmetric bluff-body wakes: stabilization by base bleed. Phys. Fluids 2009, 21:114102.
44. Shew W.L., Pinton J.-F. Dynamical model of bubble path instability. Phys. Rev. Lett. 2006, 97:144508.
45. Shew W.L., Poncet S., Pinton J.-F. Force measurements on rising bubbles. J. Fluid Mech. 2006, 569:51-60.
46. Stöhr M., Schanze J., Khalili A. Visualization of gas-liquid mass transfer and wake structure of rising bubbles using pH-sensitive PLIF. Exp. Fluids 2009, 47:135-143.
47. Takagi S., Matsumoto Y. Surfactant effects on bubble motion and bubbly flows. Annu. Rev. Fluid Mech. 2011, 43:615-636.
48. Tezuka A., Suzuki K. Three-dimensional global linear stability analysis of flow around a spheroid. AIAA J. 2006, 44:1697-1708.
49. Theofilis V. Global linear instability. Annu. Rev. Fluid Mech. 2011, 43:319-352.
50. Tomiyama A., Celata G.P., Hosokawa S., Yoshida S. Terminal velocity of single bubbles in surface tension force dominant regime. Int. J. Multiphase Flow 2002, 28:1497-1519.
51. Tsuge H., Hibino S.I. The onset conditions of oscillatory motion of single gas bubbles rising in various liquids. J. Chem. Eng. Jap. 1977, 10:66-68.
52. Tuković Ž., Jasak H. A moving mesh finite volume interface tracking method for surface tension dominated interfacial fluid flow. Comput. Fluids 2012, 55:70-84.
53. Veldhuis, C.H.J., 2007. Leonardo's Paradox: Path and Shape Instabilities of Particles and Bubbles. Ph.D. thesis, University of Twente.
54. Wegener P.P., Parlange J.-Y. Spherical-cap bubbles. Annu. Rev. Fluid Mech. 1973, 5:79-100.
55. Wu M., Gharib M. Experimental studies on the shape and path of small air bubbles rising in clean water. Phys. Fluids 2002, 14:L49-L52.
56. Yang B., Prosperetti A. Linear stability of the flow past a spheroidal bubble. J. Fluid Mech. 2007, 582:53-78.
57. Zenit R., Magnaudet J. Path instability of rising spheroidal air bubbles: a shape-controlled process. Phys. Fluids 2008, 20:061702.
58. Zenit R., Magnaudet J. Measurements of the streamwise vorticity in the wake of an oscillating bubble. Int. J. Multiphase Flow 2009, 35:195-203.