Evolution of energy in flow driven by rising bubbles

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 79, Issue 6, 2009, Pages

  Mazzitelli, Irene M ^a   Lohse, Detlef ^a  

^a UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLE CLUSTERS; DRAG FORCES; EFFECTIVE FORCES; ENERGY SPECTRA; EULERIAN-LAGRANGIAN METHOD; INVERSE ENERGY CASCADES; LIFT COEFFICIENT; LIFT FORCE; LOCAL ENERGY TRANSFERS; LOCAL FLOW FIELD; LONG TERM; NEAR FIELD INTERACTIONS; PERIODIC BOUNDARY CONDITIONS; POINT PARTICLE; QUIESCENT FLUID; TAYLOR-REYNOLDS NUMBER; TWO-WAY COUPLING; VELOCITY FIELD; VISCOUS DISSIPATION;

DRAG; ENERGY TRANSFER; LAGRANGE MULTIPLIERS; REYNOLDS NUMBER; SPECTROSCOPY;

TURBULENT FLOW;

EID: 67650505979     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.066317     Document Type: Article

References (70)

1. J. Magnaudet and I. Eames, Annu. Rev. Fluid Mech. 32, 659 (2000). 10.1146/annurev.fluid.32.1.659
2. C. T. Crowe, T. Troutt, and J. N. Chung, Annu. Rev. Fluid Mech. 28, 11 (1996). 10.1146/annurev.fl.28.010196.000303
3. R. F. Mudde, Annu. Rev. Fluid Mech. 37, 393 (2005). 10.1146/annurev. fluid.37.061903.175803
4. J. Martinez-Mercado, C. A. Palacios-Morales, and R. Zenit, Phys. Fluids 19, 103302 (2007). 10.1063/1.2772256
5. T. H. van den Berg, S. Luther, I. Mazzitelli, J. Rensen, F. Toschi, and D. Lohse, J. Turbul. 7, 1 (2006). 10.1080/14685240500460782
6. B. Bunner and G. Tryggvason, J. Fluid Mech. 466, 53 (2002).
7. B. Bunner and G. Tryggvason, J. Fluid Mech. 466, 17 (2002).
8. L. van Wijngaarden, Theor. Comput. Fluid Dyn. 10, 449 (1998). 10.1007/s001620050076
9. M. Lance and J. Bataille, J. Fluid Mech. 222, 95 (1991). 10.1017/S0022112091001015
10. R. F. Mudde, J. S. Groen, and H. E. A. van den Akker, Chem. Eng. Sci. 52, 4217 (1997). 10.1016/S0009-2509(97)88935-X
11. Y. Tsuji and Y. Morikawa, J. Fluid Mech. 120, 385 (1982). 10.1017/S002211208200281X
12. Y. Tsuji, Y. Morikawa, and H. Shiomi, J. Fluid Mech. 139, 417 (1984). 10.1017/S0022112084000422
13. J. M. Rensen, S. Luther, and D. Lohse, J. Fluid Mech. 538, 153 (2005). 10.1017/S0022112005005276
14. T. H. van den Berg, S. Luther, and D. Lohse, Phys. Fluids 18, 038103 (2006). 10.1063/1.2185688
15. T. G. Theofanous and J. P. Sullivan, J. Fluid Mech. 116, 343 (1982). 10.1017/S0022112082000494
16. I. Mazzitelli, D. Lohse, and F. Toschi, Phys. Fluids 15, L5 (2003). 10.1063/1.1528619
17. I. Mazzitelli, D. Lohse, and F. Toschi, J. Fluid Mech. 488, 283 (2003). 10.1017/S0022112003004877
18. O. A. Druzhinin and S. Elghobashi, Phys. Fluids 10, 685 (1998). 10.1063/1.869594
19. O. A. Druzhinin and S. Elghobashi, J. Fluid Mech. 429, 23 (2001). 10.1017/S0022112000002603
20. M. Maxey, E. Chang, and L. Wang, Exp. Therm. Fluid Sci. 12, 417 (1996). 10.1016/0894-1777(95)00130-1
21. J. Xu, M. R. Maxey, and G. E. Karniadakis, J. Fluid Mech. 468, 271 (2002). 10.1017/S0022112002001659
22. A. Cartellier and N. Riviere, Phys. Fluids 13, 2165 (2001). 10.1063/1.1381562
23. R. F. Mudde and T. Saito, J. Fluid Mech. 437, 203 (2001). 10.1017/S0022112001004335
24. F. Risso and K. Ellingsen, J. Fluid Mech. 453, 395 (2002). 10.1017/S0022112001006930
25. R. Zenit, D. L. Koch, and A. S. Sangani, J. Fluid Mech. 429, 307 (2001). 10.1017/S0022112000002743
26. E. Climent and J. Magnaudet, Phys. Rev. Lett. 82, 4827 (1999). 10.1103/PhysRevLett.82.4827
27. A. Esmaeeli and G. Tryggvason, J. Fluid Mech. 377, 313 (1998). 10.1017/S0022112098003176
28. A. Esmaeeli and G. Tryggvason, J. Fluid Mech. 385, 325 (1999). 10.1017/S0022112099004310
29. A. Esmaeeli and G. Tryggvason, Phys. Fluids 17, 093303 (2005). 10.1063/1.2056617
30. R. N. Parthasarathy and G. M. Faeth, J. Fluid Mech. 220, 485 (1990) 10.1017/S0022112090003354
31. R. N. Parthasarathy and G. M. Faeth, J. Fluid Mech. 220, 515 (1990). 10.1017/S0022112090003366
32. M. Mizukami, R. N. Parthasarathy, and G. M. Faeth, Int. J. Multiphase Flow 18, 397 (1992). 10.1016/0301-9322(92)90024-B
33. B. Bunner and G. Tryggvason, Phys. Fluids 11, 1967 (1999). 10.1063/1.870105
34. D. Legendre and J. Magnaudet, J. Fluid Mech. 368, 81 (1998). 10.1017/S0022112098001621
35. G. Sridhar and J. Katz, Phys. Fluids 7, 389 (1995). 10.1063/1.868637
36. A. Tomiyama, Chem. Eng. Sci. 57, 1849 (2002). 10.1016/S0009-2509(02) 00085-4
37. A. Merle, D. Legendre, and J. Magnaudet, J. Fluid Mech. 532, 53 (2005). 10.1017/S0022112005004180
38. E. Climent and J. Magnaudet, Phys. Fluids 18, 103304 (2006). 10.1063/1.2363968
39. E. A. van Nierop, J. J. Bluemink, S. Luther, J. Magnaudet, A. Prosperetti, and D. Lohse, J. Fluid Mech. 571, 439 (2007). 10.1017/ S0022112006003387
40. R. Mei, J. Klausner, and C. Lawrence, Phys. Fluids 6, 418 (1994). 10.1063/1.868039
41. J. Magnaudet and D. Legendre, Phys. Fluids 10, 550 (1998). 10.1063/1.869582
42. T. R. Auton, J. Fluid Mech. 183, 199 (1987). 10.1017/S002211208700260X
43. K. Sugiyama, E. Calzavarini, and D. Lohse, J. Fluid Mech. 608, 21 (2008). 10.1017/S0022112008001183
44. N. H. Thomas, T. R. Auton, K. J. Sene, and J. C. R. Hunt, in Gas Transfer at Water Surfaces, edited by, W. Brutsaert, and, G. H. Jurka, (Reidel, Berlin, 1984), p. 255.
45. J. Hadamard, Acad. Sci., Paris C. R. 152, 1735 (1911).
46. W. Rybczynski, Bull. Int. Acad. Sci. Cracovie 40, 40 (1911).
47. M. Maxey and J. Riley, Phys. Fluids 26, 883 (1983). 10.1063/1.864230
48. M. Boivin, O. Simonin, and K. Squires, J. Fluid Mech. 375, 235 (1998). 10.1017/S0022112098002821
49. D. Lohse and F. Toschi, Phys. Rev. Lett. 90, 034502 (2003) 10.1103/PhysRevLett.90.034502
50. E. Calzavarini, D. Lohse, F. Toschi, and R. Tripiccione, Phys. Fluids 17, 055107 (2005). 10.1063/1.1884165
51. E. Calzavarini, C. R. Doering, J. D. Gibbon, D. Lohse, A. Tanabe, and F. Toschi, Phys. Rev. E 73, 035301 (R) (2006). 10.1103/PhysRevE.73.035301
52. L. van Wijngaarden, Appl. Sci. Res. 38, 331 (1982). 10.1007/BF00385963
53. L. van Wijngaarden, J. Fluid Mech. 541, 203 (2005). 10.1017/ S0022112005006208
54. D. L. Koch, Phys. Fluids A 5, 1141 (1993). 10.1063/1.858600
55. M. P. Brenner, Phys. Fluids 11, 754 (1999). 10.1063/1.869948
56. D. L. Koch and E. S. G. Shaqfeh, J. Fluid Mech. 224, 275 (1991). 10.1017/S0022112091001763
57. H. Nicolai and E. Guazzelli, Phys. Fluids 7, 3 (1995). 10.1063/1.868727
58. H. Nicolai, B. Herzhaft, E. Hinch, L. Oger, and E. Guazzeli, Phys. Fluids 7, 12 (1995). 10.1063/1.868733
59. N. Q. Nguyen and A. J. C. Ladd, J. Fluid Mech. 525, 73 (2005). 10.1017/S0022112004002563
60. Y. Murai, A. Kitagawa, X. Song, J. Ohta, and F. Yamamoto, JSME Int. J., Ser. B 43, 197 (2000).
61. E. Calzavarini, M. Cencini, D. Lohse, and F. Toschi, Phys. Rev. Lett. 101, 084504 (2008). 10.1103/PhysRevLett.101.084504
62. E. Calzavarini, M. Kerscher, D. Lohse, and F. Toschi, J. Fluid Mech. 607, 13 (2008). 10.1017/S0022112008001936
63. J. Martínez, D. Chehata, D. P. M. van Gils, C. Sun, and D. Lohse (unpublished).
64. V. Yakhot and R. Peltz, Phys. Fluids 30, 1272 (1987). 10.1063/1.866294
65. D. Hefer and V. Yakhot, Phys. Fluids A 1, 1383 (1989). 10.1063/1.857314
66. Y. Murai, Y. Matsumoto, X. Song, and F. Yamamoto, JSME Int. J., Ser. B 43, 180 (2000).
67. D. S. Dandy and H. A. Dwyer, J. Fluid Mech. 216, 381 (1990). 10.1017/S0022112090000477
68. W. K. Harteveld, R. F. Mudde, and H. E. A. van den Akker, Can. J. Chem. Eng. 81, 389 (2003).
69. A. Esmaeeli and G. Tryggvason, J. Fluid Mech. 314, 315 (1996). 10.1017/S002211209600033X
70. Y. Murai, H. Oiwa, and Y. Takeda, J. Phys.: Conf. Ser. 14, 143 (2005). 10.1088/1742-6596/14/1/018