Fully three-dimensional computer simulations of identical spheres flowing in an inclined glass-walled channel only slightly wider than a particle diameter successfully reproduce profiles of mean velocity, bulk density, and particle rotations as well as profiles of fluctuating quantities measured from high-speed motion pictures of physical experiments. All simulation parameters are measured experimentally. Both full simulations of the geometry of the physical experiments and simulations using periodic boundary conditions in the downchute direction are used to gather micromechanical information. For these collision-dominated flows, quantitative predictions of the simulations are relatively insensitive to details of the particle-interaction model and particularly the particle stiffness, but are relatively sensitive to extraneous fluid drag forces and the chute geometry.

1.
Anderson
R. S.
, and
Haff
P. K.
,
1988
, “
Simulation of Eolian Saltation
,”
Science
, Vol.
241
, pp.
820
823
.
2.
Cundall
P. A.
, and
Strack
O. D. L.
,
1979
, “
A Discrete Numerical Model for Granular Assemblies
,”
Geotechnique
, Vol.
29
, pp.
47
65
.
3.
Drake, T. G., 1988, “Experimental Flows of Granular Material,” Ph.D. dissertation, University of California, Los Angeles, CA.
4.
Drake
T. G.
,
1990
, “
Structural Features in Granular Flows
,”
Journal of Geophysical Research
, Vol.
95
, pp.
8681
8696
.
5.
Drake
T. G.
,
1991
, “
Granular Flow: Physical Experiments and Their Implications for Microstructural Theories
,”
Journal of Fluid Mechanics
, Vol.
225
, pp.
121
152
.
6.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge, U.K.
7.
Lun
C. K. K.
,
Savage
S. B.
,
Jeffery
D. J.
, and
Chepurniy
N.
,
1984
, “
Kinetic Theory for Granular Flow: Inelastic Particles in Couette Flow and Slightly Inelastic Particles in a General Flow Field
,”
Journal of Fluid Mechanics
, Vol.
140
, pp.
223
256
.
8.
Mindlin
R. D.
, and
Deresiewicz
H.
,
1953
, “
Elastic Spheres Under Varying Oblique Forces
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
21
, pp.
237
244
.
9.
Mullier
M.
,
Tu¨zu¨n
U.
, and
Walton
O. R.
,
1991
, “
A Single-Particle Friction Cell for Measuring Contact Frictional Properties of Granular Materials
,”
Powder Technology
, Vol.
65
, pp.
61
74
.
10.
Richman
M. W.
,
1989
, “
The Source of Second Moment in Dilute Granular Flows of Highly Inelastic Spheres
,”
Journal of Rheology
, Vol.
33
, pp.
1293
1306
.
11.
Soga
N.
, and
Anderson
O. L.
,
1967
, “
Elastic Properties of Tektites Measured by Resonant Sphere Technique
,”
Journal of Geophysical Research
, Vol.
72
, pp.
1733
1739
.
12.
Walton
O. R.
,
1993
a, “
Numerical Simulation of Inclined Chute Flows of Monodisperse, Inelastic, Frictional Spheres
,”
Mechanics of Materials
, Vol.
16
, pp.
239
247
.
13.
Walton, O. R., 1993b, “Numerical Simulation of Inelastic, Frictional Particle-Particle Interactions,” Particulate Two-Phase Flow, M. C. Roco, ed., Butterworth-Heineman, Boston, pp. 884–911.
14.
Walton
O. R.
, and
Braun
R. L.
,
1986
a, “
Viscosity, Granular-Temperature & Stress Calculations for Shearing Assemblies of Inelastic, Frictional Disks
,”
Journal of Rheology
, Vol.
30
, pp.
949
980
.
15.
Walton
O. R.
, and
Braun
R. L.
,
1986
b, “
Stress Calculations for Assemblies of Inelastic Spheres in Uniform Shear
,”
Acta Mechanica
, Vol.
63
, pp.
45
60
.
This content is only available via PDF.
You do not currently have access to this content.