Dense flows of dry granular material

Comptes Rendus Physique

Volumn 3, Issue 2, 2002, Pages 163-175

  Pouliquen, Olivier ^a   Chevoir, François ^b  

^a AIX MARSEILLE UNIVERSITY   (France)

^b CNRS   (France)

Author keywords

Granular media; Hydrodynamics; Rheology

Indexed keywords

EID: 0012000146     PISSN: 16310705     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-0705(02)01309-9     Document Type: Article

References (92)

1. R.L. Brown, J.C. Richards, Principles of Powder Mechanics, Pergamon Press, Oxford, 1970.
2. J. Duran, Sands, Powders and Grains, Springer-Verlag, New-York, 1999.
3. H.J. Hermann, J.P. Hovi, S. Luding (Eds.), Physics of Dry Granular Media, Balkema, Dordrecht, 1998.
4. F. Chevoir, J.N. Roux (Eds.), Colloque physique et mécanique des matériaux granulaires, Laboratoire Central des Pouts et Chausses, Paris, 2000.
5. P.G. De Gennes, Reflections on the mechanics of granular matter, Physica A 26 T (1998) 267-293.
6. U. Tüzün, G.T. Houlsby, R.M. Nedderman, S.B. Savage, The flow of granular material - velocity distribution in slow flow, Chem. Eng. Sci. 37 (1982) 1691-1709.
7. S.B. Savage, Flow of granular materials, in: P. Germain, M. Piau, D. Caillerie (Eds.), Theoretical and Applied Mechanics, North-Holland, Amsterdam, 1989, pp. 241-266.
8. K. Hutter, K.R. Rajagopal, On flows of granular materials, Continuum Mechanics and Thermodynamics 6 (1994) 81-139.
9. J. Rajchenbach, Granular flows, in: Advances in Physics, Vol. 49, 2000, pp. 229-256.
10. P.A. Vermeer, Non-associated plasticity for soils, concrete and rock, in: H.J. Hermann, J.P. Hovi, S. Luding (Eds.), Physics of Dry Granular Media, Balkema, Dordrecht, 1998.
11. R.M. Nedderman, Statics and Kinematics of Granular Materials, Cambridge University Press, Cambridge, 1992.
12. J.N. Roux, G. Combe, Quasi-static rheology and the origins of strain, C. R. Phys. 3 (2002), this volume.
13. A. Schofield, P. Wroth, Critical State Soil Mechanics, McGraw-Hill, London, 1968.
14. R. Jackson, Some mathematical and physical aspects of continuum models for the motion of granular materials, in: R.E. Meyer (Ed.), Theory of Dispersed Multiphase Flow, Academic Press, New York, 1983.
15. G.I. Tardos, A fluid mechanistics approach to slow, frictional flow of powders, Powder Technol. 92 (1997) 61-74.
16. C.S. Campbell, Rapid granular flows, Annu. Rev. Fluid Mech. 22 (1990) 57-92.
17. B. Miller, C. O'Hern, R.P. Behringer, Stress fluctuations for continuously sheared granular materials, Phys. Rev. Lett. 77 (1996) 3110-3113.
18. D. Howell, R.P. Behringer, C.T. Veje, Stress fluctuations in a 2D granular couette experiment a continuum transition, Phys. Rev. Lett. 82 (1999) 5241-5244.
19. C.T. Veje, D.W. Howell, R.P. Behringer, Kinematics of a two-dimensional granular couette experiment at the transition to shearing, Phys. Rev. E 59 (1999) 739-745.
20. W. Losert, L. Bocquet, T.C. Lubensky, J.P. Gollub, Particle dynamics in sheared granular matter, Phys. Rev. Lett. 85 (2000) 1428-1431.
21. D.M. Mueth, G.F. Debregeas, G.S. Karczmar, P.J. Eng, S.R. Nagel, H.M. Jaeger, Signatures of granular microstructure in dense shear flows, Nature 406 (2000) 385-389.
22. D.M. Mueth, Measurements of particle dynamics in slow, dense granular couette flow, 2001, cond-mat/0103557.
23. M. Lätzel, S. Luding, H.J. Hermann, Macroscopic material properties from quasi-static, microscopic simulations of a two-dimensional shear-cell, Granular Matter 2 (2000) 123-135.
24. O.J. Schwarz, Y. Horie, M. Shearer, Discrete element investigation of stress fluctuation in granular flow at high shear rates, Phys. Rev. E 57 (1998) 2053-2061.
25. S. Schöllmann, Simulation of a two-dimensional shear cell, Phys. Rev. E 59 (1999) 889-899.
26. M. Babic, H.H. Shen, H.T. Shen, The stress tensor in granular shear flows of uniform, deformable discs at high solid concentrations, J. Fluid Mech. 219 (1990) 81-118.
27. P.A. Thompson, G.S. Grest, Granular flow and the dilatancy transition, Phys. Rev. Lett. 67 (1991) 1751-1754.
28. Y. Zhang, C.S. Campbell, The interface between fluid-like and solid-like behaviour in two-dimensional granular flows, J. Fluid Mech. 237 (1992) 541-568.
29. E. Aharonov, D. Sparks, On phase transition and self-organized critical state in granular packings, Phys. Rev. E 60 (1999) 6890.
30. R.M. Nedderman, C. Laohakul, The thickness of the shear zone of flowing granular materials, Powder Technology 25 (1980) 91-100.
31. V.V.R. Natarajan, M.L. Hunt, E.D. Taylor, Local measurements of velocity fluctuations and diffusion coefficients for a granular material flow, J. Fluid Mech. 304 (1995) 1-25.
32. O. Pouliquen, R. Gutfraind, Stress fluctuations and shear zones in quasi-static granular chutes flows, Phys. Rev. E 53 (1996) 552-561.
33. N. Menon, D.J. Durian, Diffusing wave spectroscopy of dynamics in a three dimensional granular flow, Science 275 (1997) 1920-1922.
34. F.F. Chevoir, M. Prochnow, P. Moucheront, F. da Cruz, F. Bertrand, J.P. Guilbaud, P. Coussot, J.N. Roux, Dense granular flows in a vertical chute, in: Y. Kishino (Ed.), Powders and Grains, Lisse, Swets and Zeitlinger, 2001, pp. 399-402.
35. C. Denniston, H. Li, Dynamics and stress in gravity driven granular flow, Phys. Rev. E 59 (1999) 3289-3292.
36. M.Y. Louge, S.C. Keast, On dense granular flows down flat frictional inclines, Phys. Fluids 13 (2001) 1213-1233.
37. T.G. Drake, Structural features in granular flows, J. Geophys. Res. 95 (1990) 8681-8696.
38. C. Ancey, P. Coussot, P. Evesque, Examination of the possibility of a fluid-mechanics treatment of dense granular flows, Mech. Coh. Frict. Mater. 1 (1996) 385-403.
39. O. Pouliquen, N. Renaut, Onset of granular flows on an inclined rough surface: dilatancy effects, J. Phys. II 6 (1996) 923-935.
40. E. Azanza, Ecoulements granulaires bidimensionnels sur un plan inclin, PhD thesis, École Nationale des Pouts et Chausses, Paris, 1998.
41. O. Pouliquen, Scaling laws in granular flows down rough inclined planes, Phys. Fluids 11 (1999) 542-548.
42. A. Daerr, S. Douady, Two types of avalanches behaviour in granular media, Nature 399 (1999) 241-243.
43. P.A. Lemieux, D.J. Durian, From avalanches to fluid flow: a continuum picture of grain dynamics down a heap, Phys. Rev. Lett. 85 (2000) 4273-4276.
44. D,M. Hanes, O.R. Walton, Simulations and physical measurements of glass spheres flowing down a bumpy incline, Powder Technol. 109 (2000) 133-144.
45. S. Dippel, D. Wolf, Rapid granular flow on a rough inclined plane, Comput. Commun. 121 (1999) 284-289.
46. F. Chevoir, M. Prochnow, J.T. Jenkins, P. Mills, Dense granular flows down an inclined plane, in: Y. Kishino (Ed.), Powders and Grains, Lisse, Swets and Zeitlinger, 2001, pp. 373-376.
47. S.L. Silbert, D. Ertas, G.S. Grest, T.C. Halsey, D. Levine, S.J. Plimpton, Granular flow down an inclined plane, Phys. Rev. E 64 (2001) 051302.
48. D.V. Khakhar, A.V. Orpe, P. Andersen, J.M. Ottino, Surface flow of granular materials: model and experiments in heap formation, J. Fluid Mech. 441 (2001) 255-264.
49. B. Andreotti, S.S. Douady, Selection of velocity profile and flow depth in granular flow, Phys. Rev. E 63 (1-8) (2001) 031305.
50. T.S. Komatsu, S. Inagaki, M. Nakagawa, S. Nasuno, Creep motion in a granular pile exhibiting steady surface flow, Phys. Rev. Lett. 86 (2001) 1757-1760.
51. D. Bonamy, F. Daviaud, L. Laurent, Experimental study of granular flows via high speed camera: a continuous description, cond-mat/0109046.
52. M. Nakagawa, S.A. Altobelli, A. Caprihan, E. Fukushima, E.K. Jeong, Non-invasive measurements of granular flow by magnetic resonance imaging, Exp. Fluids 16 (1993) 54-60.
53. S. Nasuno, A. Kudrolli, A. Bak, J.P. Gollub, Time-resolved studies of stick-slip friction in sheared granular layers, Phys. Rev. E 58 (1998) 2161-2171.
54. G.I. Tardos, M.I. Khan, D.G. Schaeffer, Forces on a slowly rotating, rough cylinder in a Couette device containing a dry, frictional powder, Phys. Fluids 10 (1998) 335-341.
55. S.B. Savage, M. Sayed, Stress developed by dry cohesionless granular materials sheared in an annular cell, J. Fluid Mech. 142 (1984) 391-430.
56. D.M. Hanes, D.L. Inman, Observations of rapidly flowing granular fluid flow, J. Fluid Mech. 150 (1985) 357-380.
57. G.W. Baxter, R.P. Behringer, T. Fagert, G.A. Johnson, Pattern formation in flowing sand, Phys. Rev. Lett. 62 (1989) 2825-2828.
58. L. Quartier, B. Andreotti, S. Douady, A. Daerr, Dynamics of a grain on a sandpile model, Phys. Rev. E 62 (2000) 8299-8307.
59. H.M. Jaeger, C.H. Liu, S.R. Nagel, T.A. Witten, Friction in granular flows, Europhys. Lett. 11 (1990) 619-624.
60. H.M. Jaeger, C.H. Liu, S.R. Nagel, Relaxation a the angle of repose, Phys. Rev. Lett. 62 (1989) 40-43.
61. G. Debregeas, H. Tabuteau, J.M. di Meglio, Deformation and flow of a two-dimensional foam under continuous shear, Phys. Rev. Lett. 87 (2001) 178305.
62. F. Radjai, S. Roux, Features of the granular texture, in: Y. Kishino (Ed.), Powders and Grains, Lisse, Swets and Zeitlinger, 2001, pp. 21-24.
63. F. Radjai, Features of force transmission in granular media, in: Y. Kishino (Ed.), Powders and Grains, Lisse, Swets and Zeitlinger, 2001, pp. 157-160.
64. L. Staron, J.P. Vilotte, F. Radjai, Friction and mobilization of contacts in granular material avalanches, in: Y. Kishino (Ed.), Powders and Grains, Lisse, Swets and Zeitlinger, 2001, pp. 451-454.
65. M.E. Cates, J.P. Wittmer, J.P. Bouchaud, P. Claudin, Jamming, force chains and fragile matter, Phys. Rev. Lett. 281 (1998) 1841-1844.
66. J. Duran, Static and dynamic arching effect in granular materials, in: H.J. Hermann, J.P. Hovi, S. Luding (Eds.), Physics of Dry Granular Media, Balkema, Dordrecht, 1998.
67. C.K.K. Lun, A.A. Bent, Numerical simulation of inelastic frictional spheres in simple shear flow, J. Fluid Mech. 258 (1994) 335-353.
68. C.S. O'Hern, S.A. Langer, A.J. Liu, S.R. Nagel, Force distribution near jamming and glass transition, Phys. Rev. Lett. 86 (2001) 111-114.
69. F. Radjai, L. Brendel, S. Roux, Nonsmoothness, indeterminacy, and friction in two-dimensional arrays of rigid particles, Phys. Rev. E 54 (1996) 861-873.
70. D.E. Wolf, Friction in granular media, in: H.J. Hermann, J.P. Hovi, S. Luding (Eds.), Physics of Dry Granular Media, Balkema, Dordrecht, 1998.
71. P. Evesque, Analysis of the statistics of sandpile avalanches using soil-mechanics results and concepts, Phys. Rev. A 43 (1991) 2720-2740.
72. L.S. Mohan, P.R. Nott, K.K. Rao, A frictional Cosserat model for the flow of granular materials trough a vertical channel, Acta Mech. 138 (1999) 75-96.
73. L.S. Mohan, K.K. Rao, P.R. Nott, Frictional Cosserat model for slow granular flows, cond-mat/0107563, 2001.
74. S.B. Savage, Granular flows down rough inclines-review and extension, in: J.T. Jenkins, M. Satake (Eds.), Mechanics of Granular Materials: New Models and Constitutive Relations, Elsevier, Amsterdam, 1983.
75. P.C. Johnson, R. Jacskson, Frictional-collisional constitutive relations for granular materials, with application to plane shearing, J. Fluid Mech. 176 (1987) 67-93.
76. P.C. Johnson, P. Nott, R. Jackson, Frictional-collisional equations of motion for particulate flows and their application to chutes, J. Fluid Mech. 210 (1990) 501-535.
77. L.S. Mohan, P.R. Nott, K.K. Rao, Fully developed flow of coarse granular materials through a vertical channel, Chem. Eng. Sci. 52 (1997) 913-933.
78. K.G. Anderson, R. Jackson, A comparison of the solutions of some proposed equations of motion of granular materials for fully developed flow down inclines, J. Fluid Mech. 241 (1992) 145-168.
79. W. Losert, L. Bocquet, T.C. Lubensky, J.P. Gollub, Particle dynamics in sheared granular matter, Phys. Rev. Lett. 85 (2000) 1428-1432.
80. L. Bocquet, W. Losert, D. Schalk, T.C. Lubensky, J.P. Gollub, Granular shear flow dynamics and forces: experiments and continuum theory, Phys. Rev. E 65 (2002) 011307.
81. S.B. Savage, Analyses of slow high-concentration flows of granular materials, J. Fluid Mech. 377 (1998) 1-26.
82. I.S. Aranson, L.S. Tsimring, Continuum description of avalanches in granular media, Phys. Rev. E 64 (2001) 020301.
83. I.S. Aranson, L.S. Tsimring, Continuum theory of partially fluidized granular flows, 2001, cond-mat/0109358.
84. A. Lemaître, The origin of a repose angle: kinetics of rearrangement for granular materials, cond-mat/0107422.
85. M.L. Falk, S.A. Langer, Dynamics of viscoplastic deformation in amorphous solids, Phys. Rev. E 57 (1998) 7192-7208.
86. P. Mills, D. Loggia, M. Tixier, Model for a stationary dense granular flow along an inclined wall, Europhys. Lett. 45 (1999) 733-738.
87. P. Mills, M. Tixier, D. Loggia, Influence of roughness and dilatancy for dense granular flow along an inclined wall, Eur. Phys. J. E 1 (2000) 5-8.
88. J.T. Jenkins, F. Chevoir, Dense plane flows of frictional spheres down a bumpy, frictional incline, preprint, 2001.
89. B. Andreotti, S. Douady, Selection of velocity profile and flow depth in granular flows, Phys. Rev. E 63 (2001) 031305.
90. O. Pouliquen, Y. Forterre, S. Ledizes, Dense granular flows down incline as a self activated process, Adv. Complex Systems 4 (2001) 441-450.
91. S. Douady, B. Andreotti, A. Daerr, P. Cladé, From a grain to avalanches: on the physics of granular surface flows, C. R. Phys. 3 (2002) 177-186.
92. A. Aradian, E. Raphaël, P.G. de Gennes, C. R. Phys. 3 (2002) 187-196.