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TECHNICAL PAPERS

An Average Lubrication Equation for Thin Film Grain Flow With Surface Roughness Effects

[+] Author and Article Information
Hung-Jung Tsai, Yeau-Ren Jeng

Department of Mechanical Engineering, National Chung Cheng University, Chia-Yi, Taiwan

J. Tribol 124(4), 736-742 (Sep 24, 2002) (7 pages) doi:10.1115/1.1484113 History: Received September 10, 2001; Revised April 09, 2002; Online September 24, 2002
Copyright © 2002 by ASME
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References

Haff,  P. K., 1983, “Grain Flow as a Fluid-Mechanical Phenomenon,” J. Fluid Mech., 134, pp. 401–430.
Elrod, H. G., 1988, “Granular Flow as a Tribological Mechanism—A First Look,” Interface Dynamics, Leeds-Lyon Conference, pp. 75–88.
Dai,  F., Khosari,  M. M., and Lu,  Y. Z., 1994, “On the Lubrication Mechanism of Grain Flows,” Tribol. Trans., 37, pp. 516–524.
Heshmat,  H., 1992, “The Quasi-Hydrodynamic Mechanism of Powder Lubrication: Part 2. Lubricant Film Pressure Profile,” Lubr. Eng., 48, pp. 373–383.
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. 12–17.
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. 220–230.
Elrod,  H. G., 1979, “A General Theory for Laminar Lubrication With Reynolds Roughness,” ASME J. Lubr. Technol., 101, pp. 8–14.
Hu,  Y., and Zheng,  L., 1989, “Some Aspects of Determining the Flow Factors,” ASME J. Tribol., 111, pp. 525–531.
Tripp,  J. H., 1983, “Surface Roughness Effects in Hydrodynamic Lubrication: The Flow Factor Method,” ASME J. Lubr. Technol., 105(3), pp. 458–465.
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.
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.
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, 209, pp. 292–300.
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.

Figures

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Geometry of grain flow film between two rough surfaces
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Schematic of representative asperity and coordinates
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Grain flow functions Ψ(HP) as function of film particle ratio (HP)
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Grain size coefficients f(HP) and g(HP) as functions of film particle ratio (HP)
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(a) Variation of pressure flow factors (Φ̄xxP) with film thickness ratio (HS) for various film particle ratios (HP) with surfaces (γ12=9,σ12); and (b) Variation of cross pressure flow factors (Φ̄xyP) with film thickness ratio (HS) for various film particle ratios (HP) with surfaces (γ12=9,σ12).
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(a) Variation of pressure flow factors (Φ̄xxP) with film thickness ratio (HS) for various Peklenik numbers (γ) and film particle ratios (HP) with surfaces (θ12=0 deg,σ1=2σ2); and (b) Variation of cross pressure flow factors (Φ̄xyP) with film thickness ratio (HS) for various Peklenik numbers (γ) and film particle ratios (HP) with surfaces (θ12=45 deg,σ1=2σ2).
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(a) Variation of pressure flow factors (Φ̄xxP) with roughness orientation angles (θ) for various film particle ratios (HP) with surfaces (γ12=9,HS=3,σ1=2σ2); (b) Variation of cross pressure flow factors (Φ̄xyP) with roughness orientation angles (θ) for various film particle ratios (HP) with surfaces (γ12=9,HS=3,σ1=2σ2); and (c) Variation of shear flow factors (Φ̄xxS) with roughness orientation angles (θ) for various film particle ratios (HP) with surfaces (γ12=9,HS=3,σ1=2σ2).
Grahic Jump Location
(a) Variation of pressure flow factors (Φ̄xxP) with film particle ratio (HP) for various roughness orientation angles (θ) with surfaces (γ12=9,HS=3,σ1=2σ2); and (b) Variation of cross pressure flow factors (Φ̄xyP) with film particle ratio (HP) for various roughness orientation angles (θ) with surfaces (γ12=9,HS=3,σ1=2σ2).

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