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TECHNICAL PAPERS

Compressible Stokes Flow in Thin Films

[+] Author and Article Information
D. E. A. van Odyck, C. H. Venner

University of Twente, Faculty of Mechanical Engineering, Tribology Group, P.O. Box 217, 7500 AE Enschede, The Netherlands

J. Tribol 125(3), 543-551 (Jun 19, 2003) (9 pages) doi:10.1115/1.1539058 History: Received January 08, 2002; Revised October 22, 2002; Online June 19, 2003
Copyright © 2003 by ASME
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References

Figures

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Geometry and boundary conditions for gas bearing model problem
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Cavitation bubble in the downstream portion of the contact
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Pressure-density diagram for the liquid/vapor mixture
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Stokes solution: (a) streamlines; and (b) pressure field. Both as function of x and z for ε=0.005,us=10.0 and κs=1343.
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Pressure as function of x for ε=0.005,κs=1343 and different us for the Stokes solution to the gas bearing problem. (a) Pressure at z=0; and (b) pressure at z=h. In (a) the Reynolds solution overlaps the Stokes solution for us=2, 10, 50.
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Pressure as function of x for ε=0.005,us=5.0×103 and different κs for the Stokes (ps) and Reynolds (prey) solutions to the gas bearing problem: (a) pressure at z=0; and (b) pressure at z=h
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(a) Pressure as a function of x at z=0 for the Stokes solution on different grids; and (b) contour plot of the pressure for the Stokes solution on different grids. ε=0.005,us=5.0×103 and κs=1343.
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(a) Pressure profile as function of x and z; and (b) and Streamlines as function of x and z.ε=0.01,βρ=10.0,pv=−3.0.
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(a) The pressure at z=0 as function of x for the Reynolds solution without cavitation (pr (no cav.)), the Reynolds solution with cavitation (pr) and the Stokes solution with cavitation (ps); and (b) enlargement of the pressure and density at z=0 as function of x for the Reynolds and the Stokes solution with cavitation in the cavitation region, ε=0.01,pv=−3.0, and βρ=10.0. The Reynolds and the Stokes solution with cavitation overlap in both figures.
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Contour plot of the density for ε=0.01 and pv=−3.0, (a) βρ=10.0; and (b) βρ=5.0×103
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Contour plot of the density for ε=0.01 and pv=−3.0; (a) βρ=1.0×104; and (b) βρ=4.0×104.
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Density as function of z at x=0.5 for ε=0.01 and pv=−3.0
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(a) Contour plot of the density; and (b) density as function of z at x=0.5. For ε=0.5,pv=−4.0 and βρ=20.0.
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(a) Contour plot of the iso-density contour ρ=0.5 for the Stokes solution on different grids; and (b) Density as function of z at x=0.5 for the Stokes solution on different grids. ε=0.01,pv=−3.0, and βρ=1.0×104.

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