Homogenization of the Generalized Reynolds Equation for Ultra-Thin Gas Films and Its Resolution by FEM

[+] Author and Article Information
G. C. Buscaglia

Instituto Balseiro and Centro Atómico Bariloche, 8400, Bariloche, Argentina

M. Jai

CNRS-UMR 5585, INSA de LYON, Mathématiques Bat Leonard de Vinci, F-69621 Villeurbanne, France

J. Tribol 126(3), 547-552 (Jun 28, 2004) (6 pages) doi:10.1115/1.1739410 History: Received March 12, 2003; Revised November 07, 2003; Online June 28, 2004
Copyright © 2004 by ASME
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Accuracy of the Taylor expansion A11*(n) with respect to α1 with α2=2. The curve of the 4-th order expansion is not visible because it coincides (within resolution accuracy) with the exact solution.
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Accuracy of the Taylor expansion A12*(n) with respect to α1 with α2=2
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Scheme of the roughness/texture function
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The function H0, which is the smooth component of the normalized bearing thickness H
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Contour plots of the normalized pressure for different cases. The color scale on the right applies to all four plots: (a) 40×4 periods; (b) 80×8 periods; (c) Homogenized solution; and (d) smooth-case solution, with the nondimensional clearance increased by 0.5.
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Cross-sections of the pressure field to assess convergence to the homogenized solution when ε tends to zero: (a) midline parallel to the direction of movement (x2=0.05); and (b) midline transverse to the direction of movement (x1=0.5).




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