Intermittent outgassing through a non-Newtonian fluid

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

Volumn 79, Issue 5, 2009, Pages

  Divoux, Thibaut ^a   Bertin, Eric ^a   Vidal, Valérie ^a   Géminard, Jean Christophe ^a  

^a UNIVERSITÉ DE LYON   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLE FORMATION; FLOW MEASUREMENT; FLUES; NON NEWTONIAN LIQUIDS; RHEOLOGY; VISCOUS FLOW;

CHARACTERISTIC TIME; CONSTANT FLOW RATES; FLUID PROPERTY; FREE SURFACES; NON-NEWTONIAN FLUIDS; NON-NEWTONIAN PROPERTY; POWER LAW DISTRIBUTION; STATISTICAL DISTRIBUTION;

NON NEWTONIAN FLOW;

EID: 66649096142     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.056204     Document Type: Article

References (45)

1. P. W. Hammer, N. Platt, S. M. Hammel, J. F. Heagy, and B. D. Lee, Phys. Rev. Lett. 73, 1095 (1994). 10.1103/PhysRevLett.73.1095
2. F. Rödelsperger, A. Čenys, and H. Benner, Phys. Rev. Lett. 75, 2594 (1995). 10.1103/PhysRevLett.75.2594
3. D. L. Feng, C. X. Yu, J. L. Xie, and W. X. Ding, Phys. Rev. E 58, 3678 (1998). 10.1103/PhysRevE.58.3678
4. T. John, R. Stannarius, and U. Behn, Phys. Rev. Lett. 83, 749 (1999). 10.1103/PhysRevLett.83.749
5. A. Vella, A. Setaro, B. Piccirillo, and E. Santamato, Phys. Rev. E 67, 051704 (2003). 10.1103/PhysRevE.67.051704
6. R. M. Dickson, A. B. Cubitt, R. Y. Tsien, and W. E. Moerner, Nature (London) 388, 355 (1997). 10.1038/41048
7. X. Brokmann, J. P. Hermier, G. Messin, P. Desbiolles, J. P. Bouchaud, and M. Dahan, Phys. Rev. Lett. 90, 120601 (2003). 10.1103/PhysRevLett.90.120601
8. G. Zumofen, J. Hohlbein, and C. G. Hubner, Phys. Rev. Lett. 93, 260601 (2004). 10.1103/PhysRevLett.93.260601
9. C.-C. Lo, L. A. Nunes Amaral, S. Havlin, P. Ch. Ivanov, T. Penzel, J. -H. Peter, and H. E. Stanley, Europhys. Lett. 57, 625 (2002). 10.1209/epl/i2002- 00508-7
10. H. Fujisaka and T. Yamada, Prog. Theor. Phys. 74, 918 (1985). 10.1143/PTP.74.918
11. N. Platt, E. A. Spiegel, and C. Tresser, Phys. Rev. Lett. 70, 279 (1993). 10.1103/PhysRevLett.70.279
12. J. F. Heagy, N. Platt, and S. M. Hammel, Phys. Rev. E 49, 1140 (1994). 10.1103/PhysRevE.49.1140
13. Y. Pomeau and P. Manneville, Commun. Math. Phys. 74, 189 (1980). 10.1007/BF01197757
14. H. G. Schuster, Deterministic Chaos, 2nd ed. (VCH, New York, 1989).
15. F. Zoueshtiagh and A. Merlen, Phys. Rev. E 75, 056313 (2007). 10.1103/PhysRevE.75.056313
16. L. Gostiaux, H. Gayvallet, and J.-C. Géminard, Granular. Matter 4, 39 (2002). 10.1007/s10035-002-0105-7
17. G. Varas, V. Vidal, and J.-C. Géminard, Phys. Rev. E 79, 021301 (2009). 10.1103/PhysRevE.79.021301
18. M. Ripepe, S. Ciliberto, and M. Della Schiava, J. Geophys. Res. 106, 8713 (2001) 10.1029/2000JB900374
19. M. Ripepe, A. J. L. Harris, and R. Carniel, J. Volcanol. Geotherm. Res. 118, 285 (2002). 10.1016/S0377-0273(02)00298-6
20. H. M. Gonnermann and M. Manga, Annu. Rev. Fluid Mech. 39, 321 (2007). 10.1146/annurev.fluid.39.050905.110207
21. S. L. Webb and D. B. Dingwell, J. Geophys. Res. 95, 695 (1990).
22. Y. Lavallée, K.-U. Hess, B. Cordonnier, and B. D. Dingwell, Geology 35, 843 (2007). 10.1130/G23594A.1
23. E. A. Parfitt, J. Volcanol. Geotherm. Res. 134, 77 (2004). 10.1016/j.jvolgeores.2004.01.002
24. Y. Lavallée, P. G. Meredit, B. D. Dingwell, K. U. Hess, J. Wasserman, B. Cordonnier, A. Gerik, and J. H. Kruhl, Nature (London) 453, 507 (2008). 10.1038/nature06980
25. L. Caricchi, D. Giordano, L. Burlini, P. Ulmer, and C. Romano, Chem. Geol. 256, 158 (2008). 10.1016/j.chemgeo.2008.06.035
26. C. Jaupart and S. Vergniolle, Nature (London) 331, 58 (1988) 10.1038/331058a0
27. C. Jaupart and S. Vergniolle, J. Fluid Mech. 203, 347 (1989). 10.1017/S0022112089001497
28. S. Okumura, M. Nakamura, and A. Tsuchiyama, Geophys. Res. Lett. 33, L20316 (2006). 10.1029/2006GL027347
29. S. Okumura, M. Nakamura, A. Tsuchiyama, T. Nakano, and K. Uesugi, J. Geophys. Res. 113, B07208 (2008). 10.1029/2007JB005362
30. A. Tufaile and J. C. Sartorelli, Phys. Rev. E 66, 056204 (2002). 10.1103/PhysRevE.66.056204
31. I. L. Kliakhandler, Phys. Fluids 14, 10 (2002).
32. H. Pinkerton and G. Norton, J. Volcanol. Geotherm. Res. 68, 307 (1995). 10.1016/0377-0273(95)00018-7
33. T. Divoux, V. Vidal, F. Melo, and J.-C. Géminard, Phys. Rev. E 77, 056310 (2008). 10.1103/PhysRevE.77.056310
34. S. Daugan, L. Talini, B. Herzhaft, and C. Allain, Eur. Phys. J. E 7, 73 (2002) 10.1007/s10189-002-8219-9
35. S. Daugan, L. Talini, B. Herzhaft, and C. Allain, Eur. Phys. J. E 9, 55 (2002).
36. B. A. Berg and R. C. Harris, Comput. Phys. Commun. 179, 443 (2008). 10.1016/j.cpc.2008.03.010
37. E. Bertin and F. Bardou, Am. J. Phys. 76, 630 (2008). 10.1119/1.2888543
38. A. W. Woods and T. Koyaguchi, Nature (London) 370, 641 (1994). 10.1038/370641a0
39. A. Tzounakos, D. G. Karamanev, A. Margaritis, and M. A. Bergougnou, Ind. Eng. Chem. Res. 43, 5790 (2004). 10.1021/ie049649t
40. H. A. Barnes, J. Non-Newtonian Fluid Mech. 70, 1 (1997). 10.1016/S0377-0257(97)00004-9
41. S. T. Thoroddsen, T. G. Etoh, and K. Takehara, Phys. Fluids 19, 042101 (2007). 10.1063/1.2710269
42. F. H. Zhang and S. T. Thoroddsen, Phys. Fluids 20, 022104 (2008). 10.1063/1.2835664
43. Please note that the formation of satellite by bubble pinch-off and bubble coalescence has been studied in the case of a Newtonian fluid and is still an active field of research; this topic still remains to be fully characterized in the case of non-Newtonian fluids.
44. J. C. Burton and P. Taborek, Phys. Rev. Lett. 101, 214502 (2008). 10.1103/PhysRevLett.101.214502
45. J. Eggers, Rev. Mod. Phys. 69, 865 (1997). 10.1103/RevModPhys.69.865