Scaling laws in granular flows down rough inclined planes

O. Pouliquen

doi:10.1063/1.869928

journal article Mar 01, 1999

Scaling laws in granular flows down rough inclined planes

O. Pouliquen

Physics of Fluids Vol. 11 No. 3 pp. 542-548 · AIP Publishing

View at Publisher Save 10.1063/1.869928

Abstract

In this paper, new scaling properties for granular flows down rough inclined planes are presented. In the dense steady uniform flow regime, we have systematically measured the mean velocity of the flow as a function of the inclination of the surface θ and of the thickness h of the layer. The results obtained for different systems of beads corresponding to different surface roughness conditions are shown to collapse into a single curve when properly scaled. The scaling is based on the measurement of the minimum thickness hstop(θ) necessary to observe a steady uniform flow at inclination θ. From this experimental observation an empirical description for granular flows down inclined planes is proposed in terms of a dynamic friction coefficient.

Topics

No keywords indexed for this article. Browse by subject →

References

32

[1]

"Debris flow" Annu. Rev. Fluid Mech. (1981) 10.1146/annurev.fl.13.010181.000421

[2]

"Large-scale landslide simulations: Global deformations, velocities and basal-friction" J. Geophys. Res. (1995) 10.1029/94jb00937

[3]

[4]

"Measurement of flow properties of powder along an inclined plane" Ind. Eng. Chem. Fundam. (1971) 10.1021/i160037a015

[5]

"Friction factors for powder flow" Powder Technol. (1974) 10.1016/0032-5910(74)85030-8

[6]

"An experimental study of the flow of dry powders over inclined surfaces" Powder Technol. (1978) 10.1016/0032-5910(78)80029-1

[7]

"Gravity flow of cohesionless granular materials in chutes and channels" J. Fluid Mech. (1979) 10.1017/s0022112079000525

[8]

"The flow of solid particles in an aerated inclined channel" Powder Technol. (1980) 10.1016/0032-5910(80)85035-2

[9]

"Experiments on the flow behaviour of granular materials at high velocity in an open channel" Geotechnique (1984) 10.1680/geot.1984.34.3.405

[10]

"Shear flows of rapidly flowing granular materials" ASME J. Appl. Mech. (1987)

[11]

"Structural features in granular flows" J. Geophys. Res. (1990) 10.1029/jb095ib06p08681

[12]

Frictional–collisional equations of motion for participate flows and their application to chutes

P. C. Johnson, P. Nott, R. Jackson

Journal of Fluid Mechanics 1990 10.1017/s0022112090001380

[13]

"Measurements of velocity, velocity fluctuation, density, and stresses in chute flows of granular materials" ASME J. Appl. Mech. (1991)

[14]

[15]

"Examination of the possibility of a fluid-mechanics treatment of dense granular flows" Mech. Cohesive-Frictional Mater. (1996) 10.1002/(sici)1099-1484(199610)1:4<385::aid-cfm20>3.0.co;2-0

[16]

[17]

[18]

"Chute flows of granular material: Some computer simulations" ASME J. Appl. Mech. (1985) 10.1115/1.3168990

[19]

[20]

[21]

[22]

"A comparison of the solutions of some proposed equations of motion of granular materials for fully developed flow down inclined planes" J. Fluid Mech. (1992) 10.1017/s0022112092001988

[23]

"On flows of granular materials" Continuum Mech. Thermodyn. (1994) 10.1007/bf01140894

[24]

The motion of a finite mass of granular material down a rough incline

S. B. Savage, K. Hutter

Journal of Fluid Mechanics 1989 10.1017/s0022112089000340

[25]

[26]

"Fingering in granular flows" Nature (London) (1997) 10.1038/386816a0

[27]

"Onset of granular flows on an inclined rough surface: Dilatancy effects" J. Phys. II (1996)

[28]