Low Reynolds number suspension gravity currents

European Physical Journal E

Volumn 36, Issue 8, 2013, Pages

  Saha, Sandeep ^a,b   Salin, Dominique ^a,b   Talon, Laurent ^a,b  

^a SORBONNE UNIVERSITÉ   (France)

^b Centre National de la Recherche Scientifique   (France)

Author keywords

Flowing Matter: Liquids and Complex Fluids

Indexed keywords

COMPLEX FLUIDS; CONCENTRATION-DEPENDENT; GRAVITATIONAL FORCES; LOCK-EXCHANGE FLOWS; LOW REYNOLDS NUMBER; NUMERICAL INVESTIGATIONS; PARTICLE CONCENTRATIONS; THEORETICAL INVESTIGATIONS;

GRAVITATION; GRAVITY WAVES; LOCKS (FASTENERS); REYNOLDS NUMBER; SUSPENDED SEDIMENTS; VISCOSITY;

SUSPENSIONS (FLUIDS);

ARTICLE; CHEMICAL MODEL; CHEMISTRY; EXTRACELLULAR FLUID; FLOW KINETICS; GRAVITY; HYDRODYNAMICS; SURFACE PROPERTY; VISCOSITY;

EXTRACELLULAR FLUID; GRAVITATION; HYDRODYNAMICS; MODELS, CHEMICAL; RHEOLOGY; SURFACE PROPERTIES; VISCOSITY;

EID: 84884334698     PISSN: 12928941     EISSN: 1292895X     Source Type: Journal    
DOI: 10.1140/epje/i2013-13085-0     Document Type: Article

References (53)

1. J. Simpson, Annu. Rev. Fluid Mech. 14, 213 (1982).
2. H. Huppert, J. Fluid Mech. 554, 299 (2006).
3. T. Von Karman, Bull. Am. Math. Soc 46, 615 (1940).
4. L. Prandtl, Essentials of Fluid Dynamics (Hafner, New York, 1952).
5. I.R. Wood, J. Fluid Mech. 42, 671 (1970).
6. I. Bou Malham, N. Jarrige, J. Martin, N. Rakotomalala, L. Talon, D. Salin, J. Chem. Phys. 133, 244505 (2010).
7. N. Jarrige, I. Bou Malham, J. Martin, N. Rakotomalala, D. Salin, L. Talon, Phys. Rev. E 81, 066311 (2010).
8. T. Séon, J. Hulin, D. Salin, B. Perrin, E. Hinch, Phys. Fluids 16, L103 (2004).
9. T. Bonometti, S. Balachandar, J. Magnaudet, J. Fluid Mech. 616, 445 (2008).
10. L. Talon, N. Goyal, E. Meiburg, J. Fluid Mech. 721, 268 (2013).
11. H. Huppert, J. Shepherd, R. Haraldur Sigurdsson, S. Sparks, J. Volcanol. Geotherm. Res. 14, 199 (1982).
12. J. Fay, Technical report, DTIC Document (1969).
13. R.T. Bonnecaze, H.E. Huppert, J.R. Lister, J. Fluid Mech. 250, 339 (1993).
14. R. Bonnecaze, M. Hallworth, H. Huppert, J. Lister, J. Fluid Mech. 294, 93 (1995).
15. H. Huppert, Philos. Trans.: Math. Phys. Eng. Sci. 356, 2471 (1998).
16. E. Meiburg, B. Kneller, Annu. Rev. Fluid Mech. 42, 135 (2010).
17. M. Hallworth, H. Huppert, Phys. Fluids 10, 1083 (1998).
18. A. Hogg, M. Ungarish, H. Huppert, Eur. J. Mech. B-Fluids 19, 139 (2000).
19. F. Necker, C. Härtel, L. Kleiser, E. Meiburg, J. Fluid Mech. 545, 339 (2005).
20. M. Ungarish, An Introduction to Gravity Currents and Intrusions (Chapman & Hall/CRC, 2009).
21. L. Rondon, O. Pouliquen, P. Aussillous, Phys. Fluids 23, 073301 (2011).
22. S. Mueller, E. Llewellin, H. Mader, Proc. R. Soc. A: Math. Phys. Eng. Sci. 466, 1201 (2010).
23. G. Ovarlez, F. Bertrand, S. Rodts, J. Rheol. 50, 259 (2006).
24. J. Brady, G. Bossis, Annu. Rev. Fluid Mech. 20, 111 (1988).
25. P. Hoogerbrugge, J. Koelman, Europhys. Lett. 19, 155 (1992).
26. S. Chen, G. Doolen, Annu. Rev. Fluid Mech. 30, 329 (1998).
27. R. Glowinski, T. Pan, T. Hesla, D. Joseph, Int. J. Multiphase Flow 25, 755 (1999).
28. J. Richardson, W. Zaki, Chem. Eng. Sci. 3, 65 (1954).
29. G.J. Kynch, Trans. Faraday Soc. 48, 166 (1952).
30. W. Schneider, J. Fluid Mech. 120, 323 (1982).
31. S.H. Maron, P.E. Pierce, J. Colloid Sci. 11, 80 (1956).
32. J. Stickel, R. Powell, Annu. Rev. Fluid Mech. 37, 129 (2005).
33. A. Fall, F. Bertrand, G. Ovarlez, D. Bonn, Phys. Rev. Lett. 103, 178301 (2009).
34. F. Blanc, F. Peters, E. Lemaire, J. Rheol. 55, 835 (2011).
35. A. Acrivos, E. Herbolzheimer, J. Fluid Mech. 92, 435 (1979).
36. E. Guazzelli, J. Hinch, Annu. Rev. Fluid Mech. 43, 97 (2011).
37. J. Martin, N. Rakotomalala, D. Salin, Phys. Fluids 6, 3215 (1994).
38. J. Martin, N. Rakotomalala, D. Salin, Phys. Rev. Lett. 74, 1347 (1995).
39. J.C. Bacri, C. Frenois, M. Hoyos, R. Perzynski, N. Rakotomalala, D. Salin, Europhys. Lett. 2, 123 (1986).
40. J. Martin, N. Rakotomalala, D. Salin, Phys. Fluids 7, 2510 (1995).
41. I. Ginzburg, F. Verhaeghe, D. d'Humières, Commun. Comput. Phys. 3, 427 (2008).
42. I. Ginzburg, D. d'Humières, A. Kuzmin, J. Stat. Phys. 139, 1090 (2010).
43. G. Whitham, Linear and Nonlinear Waves (John Wiley & Sons, 1999).
44. A.E. Boycott, Nature 104, 532 (1920).
45. E. Ponder, Q. J. Expt. Physiol. 15, 235 (1925).
46. H. Nakamura, K. Kuroda, Keijo J. Med. 8, 235 (1937).
47. S.M. Taghavi, T. Seon, D.M. Martinez, I.A. Frigaard, J. Fluid Mech. 639, 1 (2009).
48. J. Martin, N. Rakotomalala, L. Talon, D. Salin, J. Fluid Mech. 673, 132 (2011).
49. H. Huppert, J. Fluid Mech. 121, 43 (1982).
50. J. Zeng, Y.C. Yortsos, D. Salin, Phys. Fluids 15, 3829 (2003).
51. A. Acrivos, E. Herbolzheimer, J. Fluid Mech. 92, 435 (1979).
52. M. Hoyos, J.C. Bacri, J. Martin, D. Salin, Phys. Fluids 6, 3809 (1994).
53. V.K. Birman, J.E. Martin, E. Meiburg, J. Fluid Mech. 537, 125 (2005).