An Average Flow Model of the Reynolds Roughness Including a Mass-Flow Preserving Cavitation Model

[+] Author and Article Information
Guy Bayada

 INSA Lyon, France, LAMCOS CNRS-UMR 5514, MAPLY CNRS-UMR 5585guy.bayada@insa-lyon.fr

Sébastien Martin

 INSA Lyon, France, MAPLY CNRS-UMR 5585sebastien.martin@insa-lyon.fr

Carlos Vázquez

 Universidade da Coruña, España, Facultade de Informática, Dept. de Matemáticascarlosv@udc.es

To be translated in the x coordinates.

J. Tribol 127(4), 793-802 (May 31, 2005) (10 pages) doi:10.1115/1.2005307 History: Received October 06, 2004; Revised May 31, 2005

An average Reynolds equation for predicting the effects of deterministic periodic roughness, taking Jakobsson, Floberg, and Olsson mass flow preserving cavitation model into account, is introduced based upon the double scale analysis approach. This average Reynolds equation can be used both for a microscopic interasperity cavitation and a macroscopic one. The validity of such a model is verified by numerical experiments both for one-dimensional and two-dimensional roughness patterns.

Copyright © 2005 by American Society of Mechanical Engineers
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Figure 1

Macroscopic domain and elementary cells

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Figure 2

Pressure and saturation at x2=0.5 for different periods of the roughness and in the homogenized case

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Figure 3

Pressure at x2=0.5

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Figure 4

Saturation at x2=0.5

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Figure 5

Pressure at x1=2.639

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Figure 6

Lubricated [white] and cavitated [black] areas for ε=1∕20, 1∕50 and for the homogenized problem

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Figure 7

Pressure at x2=0.1

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Figure 8

Pressure at x1=0

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Figure 9

Average pressure and cavitated areas with interasperity



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