A closed-form average lubrication equation for thin film grain flow with the effects of surface roughness is derived. This equation is based on Haff’s grain flow theory and also the flow factors proposed by Patir and Cheng. The flow factors, derived by the perturbation approach and coordinate transformation, are expressed in terms of surface characteristics (three characteristics for each surface: roughness orientation, Peklenik number and standard derivation) and particle size. Finally, the flow factors under different surface characteristics and particle size are discussed.
Issue Section:
Technical Papers
1.
Haff
, P. K.
, 1983
, “Grain Flow as a Fluid-Mechanical Phenomenon
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.2.
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3.
Dai
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, Y. Z.
, 1994
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.4.
Heshmat
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.5.
Patir
, N.
, and Cheng
, H. S.
, 1978
, “An Average Flow Model for Determining Effects of Three-Dimensional Roughness of Partial Hydrodynamic Lubrication
,” ASME J. Lubr. Technol.
, 100
, pp. 12
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.6.
Patir
, N.
, and Cheng
, H. S.
, 1979
, “Application of Average Flow Model to Lubrication Between Rough Sliding Surfaces
,” ASME J. Lubr. Technol.
, 101
(4
), pp. 220
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.7.
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, 1979
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,” ASME J. Lubr. Technol.
, 101
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.8.
Hu
, Y.
, and Zheng
, L.
, 1989
, “Some Aspects of Determining the Flow Factors
,” ASME J. Tribol.
, 111
, pp. 525
–531
.9.
Tripp
, J. H.
, 1983
, “Surface Roughness Effects in Hydrodynamic Lubrication: The Flow Factor Method
,” ASME J. Lubr. Technol.
, 105
(3
), pp. 458
–465
.10.
Lo
, Sy-Wei
, 1992
, “On the Effects of Roughness Orientation—A Mapping and Double Scale Analysis of Flow Factors
,” ASME J. Tribol.
, 114
, pp. 747
–754
.11.
Li
, W. L.
, Weng
, C. I.
, and Hwang
, C. C.
, 1997
, “An Average Reynolds Equation for Non-Newtonian Fluid with Application to the Lubrication of the Magnetic Head-Disk Interface
,” Tribol. Trans.
, 40
, pp. 111
–119
.12.
Li
, W. L.
, and Weng
, C. I.
, 1997
, “Modified Average Reynolds Equation for Ultra-Thin Film Gas Lubrication Considering Roughness Orientations at Arbitrary Knudsen Numbers
,” Wear
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–300
.13.
Li
, W. L.
, 2000
, “Some Discussions on the Flow Factor Tensor-Considerations of Roughness Orientation and Flow Rheology
,” ASME J. Tribol.
, 122
, pp. 869
–872
.Copyright © 2002
by ASME
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