This article is concerned with the simulation of a lubricated contact considering the fluid to be non-Newtonian of the Maxwell type. Severe operating conditions lead to very small surface-to-surface distances. In this situation it is necessary to take roughness effects into account. A popular method consists in averaging the film thickness following Patir and Cheng (ASME J. Lubr. Technol., 100, pp. 12–17, 1978), or more recently Wang et al. (Tribol. Trans., 45(1), pp. 1–10, 2000), with good reported results compared with experimental data. To overcome certain limitations that become apparent at very small film thickness, notably when the roughness is two-dimensional, in 1995 Jai (Math. Modell. Numer. Anal., 29(2), pp. 199–233, 1995) introduced a new technique based on a rigorous homogenization theory in the case of compressible fluid flow. This procedure was further mathematically developed by Buscaglia and Jai (Math. Probl. Eng., 7(4), pp. 355–377, 2001) and applied to tribological problems by Jai and Bou-Saı¨d (ASME J. Tribol., 124, pp. 327–355, 2002). In this paper, we propose a similar homogenized approach in the case of non-Newtonian fluids to avoid numerical problems which are often encountered in other approaches. Results in the homogenized roughness case are obtained and compared with direct numerical solutions.
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July 2005
Research Papers
A Study of Roughness and Non-Newtonian Effects in Lubricated Contacts
Malal Kane,
Malal Kane
Laboratoire de dynamique des machines et des structures (LDMS)
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Benyebka Bou-Said
Benyebka Bou-Said
Laboratoire de Me´canique des Contacts et des Solides (LamCos) Institut National des Sciences Applique´es de Lyon (INSA), 69621 Villeurbanne, France
Search for other works by this author on:
Malal Kane
Laboratoire de dynamique des machines et des structures (LDMS)
Benyebka Bou-Said
Laboratoire de Me´canique des Contacts et des Solides (LamCos) Institut National des Sciences Applique´es de Lyon (INSA), 69621 Villeurbanne, France
Contributed by the Tribology Division for publication in the ASME JOURNAL OF TRIBOLOGY. Manuscript received by the Tribology Division May 28, 2004; revised manuscript received December 17, 2004. Review conducted by: J. Tichy.
J. Tribol. Jul 2005, 127(3): 575-581 (7 pages)
Published Online: June 13, 2005
Article history
Received:
May 28, 2004
Revised:
December 17, 2004
Online:
June 13, 2005
Citation
Kane, M., and Bou-Said, B. (June 13, 2005). "A Study of Roughness and Non-Newtonian Effects in Lubricated Contacts ." ASME. J. Tribol. July 2005; 127(3): 575–581. https://doi.org/10.1115/1.1866169
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