This paper is devoted to the understanding of flow characteristics of granular lubrication. The regimes of interest are: the kinetic regime in which collisions between particles are essentially binary and the quasi-fluid regime in which the duration of particle-to-particle contact is longer, primarily due to compaction. For this purpose, a quasi-two-dimensional particle dynamic simulation package is developed. The contact parameters between particles are chosen in order to mimic kinetic simulations. These contact laws are also valid in the quasi-fluid regime. The predictions of the particle dynamic simulations are compared to those obtained using the kinetic model. Good agreement between the two approaches is demonstrated. Furthermore, it is shown how the flow transition between the kinetic and the quasi-fluid regime can be determined. The influence of parameters that affect the transition is studied. The magnitude of the area fraction, on the order of about 90 percent of that of a hexagonal closest packing, seems to be the main factor that determines this transition.
Issue Section:
Technical Papers
1.
Godet
, M.
, 1984
, “The Third Body Approach: A Mechanical View of Wear
,” Wear
, 100
, pp. 437
–452
.2.
Berthier, Y., 1995, “Maurice Godet’s Third Body,” 22nd Leeds Lyon Symposium on Tribology, Elsevier Tribology Series 31, pp. 21–30.
3.
Ludema, K. C., 1995, “Third Body: Perspectives on Modeling in Lubricated Contacts etc: following on the concept of Dr. Maurice Godet,” 22nd Leeds Lyon Symposium on Tribology, Elsevier Tribology Series 31, pp. 3–19.
4.
Berthier
, Y.
, Godet
, M.
, Brendle
, M.
, 1989
, “Velocity Accommodation in Friction
,” Tribol. Trans.
, 32
, pp. 490
–496
.5.
Heshmat, H., 1993 “On the theory of Quasi-Hydrodynamic Lubrication with Dry Powder: Application to Development of High-Speed Journal Bearings for Hostile Environments,” 20th Leeds Lyon Symposium on Tribology, Elsevier, Tribology Series No. 27, pp. 45–61.
6.
Heshmat
, H.
, 1995
, “The Quasi-hydrodynamic Mechanism of Powder Lubrication. Part III: On Theory and Rheology of Triboparticulates
,” Tribol. Trans.
, 38
(2
), pp. 269
–276
.7.
Dai
, F.
, Khonsari
, M. M.
, and Liu
, Z.
, 1994
, “On the Lubrication Mechanism of Grain Flows
,” STLE Tribol. Trans.
, 53
, pp. 516
–524
.8.
Haff
, K. P.
, 1983
, “Grain flow as a fluid-mechanical phenomenon
,” J. Fluid Mech.
, 134
, pp. 401
–430
.9.
McKeague
, K. T.
, and Khonsari
, M. M.
, 1996
, “An Analysis of Powder Lubricated Slider Bearings
,” ASME J. Tribol.
, 118
, pp. 206
–214
.10.
McKeague
, K. T.
, and Khonsari
, M. M.
, 1996
, “Generalized Boundary Interactions for Powder Lubricated Couette Flows
,” ASME J. Tribol.
, 118
, pp. 580
–588
.11.
Zhou
, L.
, and Khonsari
, M. M.
, 2000
, “Flow Characteristics of a Powder Lubricant Sheared Between Parallel Plates
,” ASME J. Tribol.
, 122
, pp. 147
–155
.12.
Yu
, C. M.
, and Tichy
, J.
, 1996
, “Granular Collisional Lubrication: Effect of Surface Roughness, Particle Size and Solids Fraction
,” Tribol. Trans.
, 39
, pp. 537
–546
.13.
Yu
, C. M.
, Craig
, K.
, and Tichy
, J.
, 1996
, “Granular Collision Lubrication
,” J. Rheol.
, 38
(4
), pp. 921
–936
.14.
Khonsari
, M. M.
, 1997
, “On the Modeling of a Multi-Body Interaction Problems in Tribology
,” Wear
, 207
, pp. 55
–62
.15.
Cundall
, P. A.
, and Strack
, A.
, 1979
, “A Discrete Numerical Model for Granular Assemblies
,” Geotechnique
, 29
(1
), pp. 47
–65
.16.
Elrod, H. G., Brewe, D. E., 1991, “Numerical Experiments with Flows of Elongated Granules,” 18th Leeds Lyon Symposium on Tribology, Elsevier Tribology Series No. 21, pp. 219–226.
17.
Elrod, H. G., 1995, “Numerical Experiments with Flows of Elongated Granules-Part II,” 22nd Leeds Lyon Symposium on Tribology, Elsevier Tribology Series 31, pp. 347–354.
18.
Lubretch, A. A., Chan Tien, C., and Berthier, Y., 1995, “A Simple Model for Granular Lubrication, Influence of Boundaries,” 22nd Leeds Lyon Symposium on Tribology, Elsevier Tribology Series 31, pp. 377–385.
19.
Seve, B., Iordanoff, I., and Berthier, Y., 2001, “Using Discrete Models to Simulate Solid Third Bodies: Influence of the Inter-Granule Forces on the Macroscopic Behavior,” 27th Leeds-Lyon Symposium on Tribology, Elsevier Tribology Series 39, pp. 361–368.
20.
Iordanoff
, I.
, Seve
, B.
, and Berthier
, Y.
, 2002
, “Solid Third Body Analysis Using a Discrete Approach: Influence of Adhesion and Particle Size on Macroscopic Properties
,” ASME J. Tribol.
, 124
, pp. 530
–538
.21.
Iordanoff
, I.
, Berthier
, Y.
, Descartes
, S.
, and Heshmat
, H.
, 2001
, “A Review of Recent Approaches for Modeling Solid Third Bodies
,” ASME J. Tribol.
, 124
, pp. 725
–735
.22.
Campbell
, C.
, and Brennen
, C. S.
, 1985
, “Computer Simulation of Granular Shear Flows
,” J. Fluid Mech.
, 151
, pp. 167
–188
.23.
Sawyer
, G. W.
, and Tichy
, J. A.
, 2001
, “Lubrication With Granular Flow: Continuum Theory, Particle Simulation, Comparison with Experiment
,” ASME J. Tribol.
, 123
, pp. 777
–784
.24.
Campbell, C., and Zhang, Y., 1992, “The Interface Between Fluid-like and Solid-Like Behavior in Granular Flows,” Advances in Micromechanics of Granular Materials, Studies in Applied Mechanics, H. Sen et al., eds., 31, Elsevier Science Publishers, pp. 261–270.
25.
Lun
, C. K. K.
, Savage
, S. B.
, Jeffrey
, D. J.
, and Chepurniy
, N.
, 1984
, “Kinetic Theories for Granular Flow: Inelastic Particles in Couette Flow and Slightly Inelastic Particles in a General Flowfield
,” J. Fluid Mech.
, 140
, p. 223
223
.26.
Cheng
, Y. F.
, Guo
, S. J.
, and Lai
, H. Y.
, 2000
, “Dynamic Simulation of Random Packing of Spherical Particles
,” Powder Technol.
, 107
, pp. 123
–130
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