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RESEARCH PAPERS

Comparison of Homogenization and Direct Techniques for the Treatment of Roughness in Incompressible Lubrication

[+] Author and Article Information
Malal Kane

Laboratoire de Dynamique des Machines et des Structures

Benyebka Bou-Said

Laboratoire de Mécanique des Contacts et des Solides, Institut National des Sciences Appliquées de Lyon, 69621 Villeurbanne, France

J. Tribol 126(4), 733-737 (Nov 09, 2004) (5 pages) doi:10.1115/1.1792699 History: Received April 01, 2004; Revised May 27, 2004; Online November 09, 2004
Copyright © 2004 by ASME
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References

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Patir, N., and Cheng, H. S., 1978a, “Effect of Surface Roughness Orientation on Central Film-Thickness in EHD Contact,” in Proc. 5th Leeds-Lyon Symp. Tribol., Lyon, pp. 15–21.
Boedo,  S., and Booker,  J. F., 1997, “Surface Roughness and Structural Inertia in a Mode-Based Mass-Conserving Elastohydrodynamic Lubrication Model,” ASME J. Tribol., 119(3), pp. 449–455.
Zhang,  C., and Cheng,  H. S., 2000, “Transient Non-Newtonian Thermohydrodynamic Mixed Lubrication of Dynamically Loaded Journal Bearing,” ASME J. Tribol., 122(1), pp. 156–161.
Wang,  P., and Keith,  T. G., 2002, “Combined Surface Roughness of Dynamically Loaded Journal Bearings,” Tribol. Trans., 45(1), pp. 1–10.
Elrod,  H., 1981, “A Cavitation Algorithm,” ASME J. Lubr. Technol., 103(3), pp. 350–354.
Vijayaraghavan,  D., and Keith,  1989, “Development and Evaluation of a Cavitation Algorithm,” Tribol. Trans., 32(2), pp. 225–233.
Patir,  N., and Cheng,  H.-S., 1978, “An Average Flow Model for Determining Effects of Three-Dimensional Roughness on Partial Hydrodynamic Lubrication,” ASME J. Lubr. Technol., 100(1), 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(2), pp. 220–230.
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Leung,  M., Hsieh,  C. K., and Goswani,  D. Y., 1997, “Application of Boltzmann Statical Mechanics in the Validation of the Gaussian Summit Height Distribution in Rough Surfaces,” ASME J. Tribol., 119(3), pp. 846–850.
Peklenik,  J., 1967–1968, “New Development in Surface Characterization and Measurement by Means of Random Process Analysis,” Proc. Inst. Mech. Eng. 182, pp. 108–111.
Kweh,  C. C., Evens,  H. P., and Snidle,  R. W., 1989, “Micro-Elastohydrodynamic Lubrication of an Elliptical Contact With Transverse and Three-Dimensional Sinusoidal Roughness,” ASME J. Tribol., 111(4), pp. 577–584.
Kweh,  C. C., Patching,  M. J., Evans,  H. P., and Snidle,  R. W., 1992, “Simulation of Elastohydrodynamic Contacts between Rough Surfaces,” ASME J. Tribol., 114(3), pp. 412–419.
Venner,  C. H., and Napel,  W. E., 1992, “Surface Roughness Effects in an EHL Line Contact,” ASME J. Tribol., 114(3), pp. 616–622.
Greenwood,  J. A., Greenwood,  J. A., and Espejel,  G. E., 1994, “The Behavior of Transverse Roughness in EHL Contact,” Proc. Inst. Mech. Eng., Part J: J. Eng. Tribol., 208(J2), pp. 121–32.
Ai,  X., and Cheng,  H. S., 1994, “Transient EHL Analysis for Lie Contacts With Measured Surface Roughness Using Multigrid Technique,” ASME J. Tribol., 116(3), pp. 549–558.
Zhu,  D., and Ai,  X., 1997, “Point Contact EHL Based on Optically Measured Three-Dimensional Rough Surfaces,” ASME J. Tribol., 119(3), pp. 375–384.
Jaı̈,  M., 1995, “Homogenization and Two-Scale Convergence of the Compressible Reynolds Lubrication Equation Modelling the Flying Characteristics of a Rough Magnetic Head Over a Rough Rigid-Disk Surface,” Math. Modell. Numer. Anal., 29(2), pp. 199–233.
Buscaglia,  G., and Jaı̈,  M., 2000, “A New Numerical Scheme for Non Uniform Homogenized Problems: Application to the Non Linear Reynolds Compressible Equation,” Math. Prob. Eng., 7, pp. 355–378.
Jaı̈,  M., and Bou-Saı̈d,  B., 2002, “A Comparison of Homogenization and Averaging Techniques for the Treatment of Roughness in Boltzman Flow Modified Reynolds Equation,” ASME J. Tribol., 124(2), pp. 327–335.

Figures

Grahic Jump Location
Comparison of roughness methodologies—dimensionless pressure
Grahic Jump Location
Schematic of film coordinates
Grahic Jump Location
Geometry of the global film thickness and roughness
Grahic Jump Location
Dimensionless pressure profile variation with roughness number
Grahic Jump Location
Dimensionless pressure profile variation with roughness number
Grahic Jump Location
Dimensionless pressure field—homogenized and deterministic calculations

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