On dense granular flows down flat frictional inclines

Physics of Fluids

Volumn 13, Issue 5, 2001, Pages 1213-1233

  Louge, Michel Y ^a   Keast, Stephen C ^a  

^a Cornell University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CAPACITANCE; FRICTION; GLASS; GRANULAR MATERIALS; STABILITY; WAVES;

BASAL SHEAR LAYER;

FLUIDS;

DENSE PHASE FLOW; GLASS BEAD; GRANULAR SOLID; SOLID FLOW;

EID: 0035340661     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1358870     Document Type: Article

References (56)

1. K. Takahasi, "On the dynamical properties of granular mass," Geophys. Mag. 11, 165 (1937).
2. D. A. Augenstein and R. Hogg, "An experimental study of the flow of dry powders over inclined surfaces," Powder Technol. 19, 205 (1978).
3. S. B. Savage, "Gravity flow of cohesionless granular materials in chutes and channels," J. Fluid Mech. 92, 53 (1979).
4. C. E. Brennen, K. Sieck, and J. Paslaski, "Hydraulic jumps in granular material flow," Powder Technol. 35, 31 (1983).
5. P. C. Johnson and R. Jackson, "Frictional-collisional constitutive relations for granular materials, with applications to plane shearing," J. Fluid Mech. 176, 67 (1987).
6. T. G. Drake, "Granular flow: Physical experiments and their implications for microstructural theories," J. Fluid Mech. 225, 121 (1991).
7. S. B. Savage, "The mechanics of rapid granular flows," Adv. Appl. Mech. 24, 289 (1984).
8. C. S. Campbell, "Rapid granular flows," Annu. Rev. Fluid Mech. 22, 57 (1990).
9. K. Hutter and K. R. Rajagopal, "On flows of granular materials," Continuum Mech. Thermodyn. 6, 81 (1994)
10. M. Ishida, H. Hatano, and T. Shirai, "The flow of solid particles in an aerated inclined channel," Powder Technol. 27, 7 (1980).
11. P. C. Johnson, P. Nott, and R. Jackson, "Frictional-collisional equations of motion for particulate flows and their application to chutes," J. Fluid Mech. 210, 501 (1990).
12. H. Ahn, C. E. Brennen, and R. H. Sabersky, "Measurements of velocity, velocity fluctuation, density, and stresses in chute flows of granular materials," Trans. ASME, J. Appl. Mech. 58, 792 (1991).
13. O. Hungr and N. R. Morgenstern, "Experiments on the flow behavior of granular materials at high velocity in an open channel," Géotechnique 34, 405 (1984).
14. K. Hutter, F. Szidarovsky, and S. Yakowitz, "Plane steady shear flow of a cohesionless granular material down an inclined plane. A model for flow avalanches, Part I: Theory," Acta Mech. 63, 87 (1986); "Part II: Numerical results," 65, 239 (1986).
15. K. Hutter, F. Szidarovsky, and S. Yakowitz, "Plane steady shear flow of a cohesionless granular material down an inclined plane. A model for flow avalanches, Part I: Theory," Acta Mech. 63, 87 (1986); "Part II: Numerical results," 65, 239 (1986).
16. S. B. Savage, "Granular flows down rough inclines - Review and extension" in Mechanics of Granular Materials: New Models and Constitutive Relations, edited by J. Jenkins and M. Satake (Elsevier, New York, 1983).
17. M. Sayed and S. B. Savage, "Rapid gravity flow of cohesionless granular materials down inclined chutes," J. Appl. Math. Phys. 34, 84 (1983).
18. J. T. Jenkins and S. B. Savage, "A theory for the rapid flow of identical, smooth, nearly elastic particles," J. Fluid Mech. 130, 187 (1983).
19. K. G. Anderson and R. Jackson, "A comparison of the solutions of some proposed equations of motion of granular materials for fully developed flow down inclined planes," J. Fluid Mech. 241, 145 (1992).
20. S. B. Savage and K. Hutter, "The motion of a finite mass of granular material down a rough incline," J. Fluid Mech. 199, 177 (1989).
21. S. B. Savage and K. Hutter, "The dynamics of avalanches of granular materials from initiation to runout. Part I: Analysis," Acta Mech. 86, 201 (1991).
22. K. Hutter, M. Siegel, S. B. Savage, and Y. Nohguchi, "Two-dimensional spreading of a granular avalanche down an inclined plane Part I. Theory," Acta Mech. 100, 37 (1993).
23. K. Hutter, T. Koch, C. Plüss, and S. B. Savage, "The dynamics of avalanches of granular materials from initiation to runout. Part II: Experiments," Acta Mech. 109, 127 (1995).
24. R. Greve, T. Koch, and K. Hutter, "Unconfined flow of granular avalanches along a partly curved surface. I. Theory," Proc. R. Soc. London, Ser. A 445, 399 (1994).
25. C. S. Campbell, C. E. Brennen, and R. H. Sabersky, "Flow regimes in inclined open-channel flows of granular materials," Powder Technol. 41, 77 (1985).
26. T. R. H. Davies, "Debris flow surges - A laboratory investigation," Mitteilung No. 96 der Versuchanstalt fur Wasserbau, Hydrologie und Glaziologie an der ETH Zürich (1988), 122 pp.
27. S. B. Savage, "Flow of granular materials," in Theoretical and Applied Mechanics, edited by P. Germain, M. Piau, and D. Caillerie (Elsevier, New York, 1989), pp. 241-266.
28. F. X. Riguidel, M. Ammi, D. Bideau, A. Hansen, and J. C. Messager, "Flow of particles on an inclined plane," in Powders and Grains 93, edited by C. Thornton (Balkema, Rotterdam, The Netherlands, 1993), pp. 337-341.
29. O. Pouliquen, "Fingering instability in granular flows," in Powders and Grains 97, edited by R. Behringer and J. Jenkins (Balkema, Rotterdam, The Netherlands, 1997), pp. 451-454.
30. H. J. Herrmann, E. Flekkøy, K. Nagel, G. Peng, and G. Ristow, "Density waves in dry granular flow," in Workshop on Traffic and Granular Flow, edited by D. Wolf, M. Schreckenberg, and A. Bachem (World Scientific, Singapore, 1996), pp. 239-250.
31. A. Valance and T. Le Pennec, "Nonlinear dynamics of density waves in granular flows through narrow vertical channels," Eur. Phys. J. B 5, 223 (1998).
32. G. B. Whitham, Linear and Nonlinear Waves (Wiley, New York, 1974).
33. R. R. Brock, "Periodic permanent roll waves," J. Hydraul. Div., Am. Soc. Civ. Eng. 96, 2565 (1970).
34. D. J. Needham and J. H. Merkin, "On roll waves down an open inclined channel," Proc. R. Soc. London, Ser. A 394, 259 (1984).
35. A. Lorenz, C. Tuozzolo, and M. Y. Louge, "Measurements of impact properties of small, nearly spherical particles," Exp. Mech. 37, 292 (1997).
36. C. Acree-Riley and M. Y. Louge, "Quantitative capacitive measurements of voidage in dense gas-solid flows," Part. Sci. Technol. 7, 51 (1989).
37. M. Louge, M. Tuccio, E. Lander, and P. Connors, "Capacitance measurements of the volume fraction and velocity of dielectric solids near a grounded wall," Rev. Sci. Instrum. 67, 1869 (1996).
38. R. E. Meredith and C. W. Tobias, "Resistance of potential flow through a cubical array of spheres," J. Appl. Phys. 31, 1270 (1960).
39. R. Zenit, M. Hunt, and C, Brennen, "Particle pressure measurements in solid-liquid flows," J. Fluid Mech. 353, 261 (1997).
40. D. J. Lischer, "Measurement of particle concentration and collision frequency in gas-solid suspensions," Ph.D. thesis, Cornell University, 1993.
41. J. T. Jenkins and M. Louge, "On the flux of fluctuation energy in a collisional grain flow at a flat, frictional wall," Phys. Fluids 9, 2835 (1997).
42. J. T. Jenkins and F. Chevoir (unpublished).
43. M. Y. Louge, "Computer simulations of rapid granular flows of spheres interacting with a flat, frictional boundary," Phys. Fluids 6, 2253 (1994).
44. M. Y. Louge, R. Steiner, S. C. Keast, R. Decker, J. Dent, and M. Schneebeli, "Application of capacitance instrumentation to the measurement of density and velocity of flowing snow," Cold Regions Sci. Technol. 25, 47 (1997).
45. J. T. Jenkins, "Boundary conditions for rapid granular flows: Flat, frictional walls," J. Appl. Mech. 59, 120 (1992).
46. J. Cao, G. Ahmadi, and M. Massoudi, "Gravity granular flows of slightly frictional particles down an inclined bumpy chute," J. Fluid Mech. 316, 197 (1996).
47. O. R. Walton, "Granular solids flow project," Quarterly Report No. UCID-20297-88-1, 1988 (unpublished).
48. T. Baumberger and C. Caroli, "Multicontact solid friction: A macroscopic probe of pinning and dissipation on the mesoscopic scale," MRS Bull. 23, 41 (1998).
49. D. Henderson, F. F. Abraham, and J. A. Barker, "The Ornstein-Zernike equation for a fluid in contact with a surface," Mol. Phys. 31, 1291 (1976).
50. J. T. Jenkins, "Hydraulic theory for a debris flow supported on a collisional shear layer," Proceedings of the International Congress on Hydraulics Research IAHR, Tokyo, 1993, pp. 1-12.
51. N. F. Carnahan and K. E. Starling, "Equations of state for non-attracting rigid spheres," J. Chem. Phys. 51, 635 (1979).
52. C. Zhang, "Kinetic theory for rapid granular flows," Ph.D. thesis, Cornell University, 1993.
53. J. T. Jenkins and E. Askari, "Boundary conditions for rapid granular flow: Phase interfaces," J. Fluid Mech. 223, 497 (1991).
54. H. Ahn, C. E. Brennen, and R. H. Sabersky, "Analysis of the fully-developed chute flow of granular materials," Trans. ASME, J. Appl. Mech. 59, 109 (1992).
55. J. T. Jenkins, "Rapid granular flows down inclines," Appl. Mech. Rev. 47, S240 (1994).
56. M. Y. Louge, J. T. Jenkins, and M. A. Hopkins, "Computer simulations of rapid granular shear flows between parallel bumpy boundaries," Phys. Fluids A 2, 1042 (1990).