We address the numerical modeling of roughness or texture effects in ultra-thin gas films. Rarefaction (high Knudsen number) effects are dealt with using the Generalized Reynolds Equation, and a homogenization procedure is proposed to rigorously account for arbitrary roughness/texture shapes. The presentation is focused on head-disk magnetic storage devices, but the techniques proposed are general. Some details of the implementation, along with numerical tests, are included. By removing the small space and time scales from the problem, the methodology allows for efficient modeling of slider bearings with small-scale features.
Issue Section:
Technical Papers
1.
Tagawa
, N.
, Hayashi
, T.
, and Mori
, A.
, 2001
, “Effects of Moving Three-Dimensional Nano-Textured Disk Surfaces on Thin Film Gas Lubrication Characteristics for Flying Head Slider Bearings in Magnetic Disk Storage
,” ASME J. Tribol.
, 123
, pp. 151
–158
.2.
Xu
, J.
, and Tsuchiyama
, R.
, 2003
, “Ultra-Low-Flying-Height Design From the Viewpoint of Contact Vibration
,” Tribol. Int.
, 36
, pp. 459
–466
.3.
Burgdorfer
, B.
, 1959
, “The Influence of the Molecular Mean Free Path on the Performance of Hydrodynamic Gas Lubricated Bearings
,” ASME J. Basic Eng.
, 81
, pp. 99
–100
.4.
Hsia
, Y. T.
, and Domoto
, G. A.
, 1983
, “An Experimental Investigation of Molecular Rarefaction Effects in Gas Lubricated Bearings at Ultra-Low Clearances
,” ASME J. Tribol.
, 105
, pp. 120
–130
.5.
Fukui
, S.
, and Kaneko
, R.
, 1988
, “Analysis of Ultra-Thin Gas Film Lubrication Based on Linearized Boltzmann Equation: First Report-Derivation of a Generalized Lubrication Equation Including Thermal Creep Flow
,” ASME J. Tribol.
, 110
, pp. 253
–262
.6.
Buscaglia
, G.
, and Jai
, M.
, 2000
, “Sensitivity Analysis and Taylor Expansions in Numerical Homogenization Problems
,” Numer. Math.
, 85
, pp. 49
–75
.7.
Buscaglia
, G.
, and Jai
, M.
, 2001
, “New Numerical Scheme for Nonuniform Homogenized Problems: Application to the Nonlinear Reynolds Compressible Equation
,” Mathematical Problems in Engineering
, 7
(4
), pp. 355
–377
.8.
Jai
, M.
, and Bou-Said
, B.
, 2002
, “A Comparison of Homogenization and Averaging Techniques for the Treatment of Roughness in Slip-Flow-Modified Reynolds Equation
,” ASME J. Tribol.
, 124
(2
), pp 327
–335
.9.
Buscaglia
, G.
, Ciuperca
, T.
, and Jai
, M.
, 2002
, “Homogenization and Two-Scale Analysis of the Transient Compressible Reynolds Equation
,” Asymptotic Anal.
, 32
(2
), pp. 131
–152
.10.
Fukui
, S.
, and Kaneko
, R.
, 1990
, “A Database for Interpolation of Poiseuille Flow Rates for High Knudsen Number Lubrication Problems
,” ASME J. Tribol.
, 112
, pp. 78
–83
.11.
Bensoussan, A., Lions, J. L., and Papanicolaou, G., 1978, Asymptotic Analysis for Periodic Structure, North-Holland.
12.
Mitsuya
, Y.
, Ohkubo
, T.
, and Ota
, H.
, 1989
, “Averaged Reynolds Equation Extended to Gas Lubricant Possessing Surface Roughness in the Slip Flow Regime: Approximate Method and Confirmation Experiments
,” ASME J. Tribol.
, 111
, pp. 495
–503
.13.
Bhatnagar
, P.
, Gross
, E.
, and Krook
, M.
, 1959
, “A Model for Collision Processes in Gases: Small Amplitude Processes in Charged and Neutral One Component Systems
,” Phys. Rev.
, 94
(3
), pp. 511
–525
.Copyright © 2004
by ASME
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