Current industrial applications require a consideration of two-dimensional surface roughness effects in design and optimization of fluid bearings. Although the influence of striated surface roughness on fluid lubrication is now at a fairly mature level of understanding, the knowledge and understanding of two-dimensional roughness effects is not nearly at the same level as that achieved over the past several decades for one-dimensional striations. The subject of this paper includes the formulation of a practical “roughness averaged” lubrication equation that is appropriate for two-dimensional surface roughness and applicable over a wide range of Knudsen numbers. After derivation by multiple-scale analysis, the resulting lubrication equation is specialized to treat the patterned data islands located on a storage medium as a two-dimensional roughness pattern, and then used to determine the effect of this roughness on the air-bearing interface between recording head slider and disk. The roughness averaged lubrication equation is solved numerically by a variable-grid finite-difference algorithm, and computed results are included for several bearing geometries.
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January 2012
Magnetic Storage
A Lubrication Equation Incorporating Two-Dimensional Roughness Effects, With Emphasis on the Patterned Data Islands of a Recording Disk
James White
James White
6017 Glenmary Road,Knoxville, TN 37919
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James White
6017 Glenmary Road,Knoxville, TN 37919
J. Tribol. Jan 2012, 134(1): 011901 (12 pages)
Published Online: February 9, 2012
Article history
Received:
May 20, 2011
Revised:
December 2, 2011
Published:
February 8, 2012
Online:
February 9, 2012
Citation
White, J. (February 9, 2012). "A Lubrication Equation Incorporating Two-Dimensional Roughness Effects, With Emphasis on the Patterned Data Islands of a Recording Disk." ASME. J. Tribol. January 2012; 134(1): 011901. https://doi.org/10.1115/1.4005519
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