Perturbation Solution of Non-Newtonian Lubrication With the Convected Maxwell Model-Reference-Cited by-同舟云学术

Perturbation Solution of Non-Newtonian Lubrication With the Convected Maxwell Model

Published:2005-04-01 Issue:2 Volume:127 Page:302-305
ISSN:0742-4787
Container-title:Journal of Tribology
language:en
Short-container-title:

Author:

Zhang Rong¹,He Xueming²,Yang Simon X.³,Li Xinkai⁴

Affiliation:

1. School of Science, Southern Yangtze University, Wuxi (214063), Jiangsu, China

2. Mechanical Engineering College, Southern Yangtze University, Wuxi (214063), Jiangsu, China

3. School of Engineering, Universitu of Guelph, Guelph, Ontario, Canada N1G2W1

4. Faculty of Computing Science and Engineering, De Montfort University, LE1 9BH, Leicester, UK

Abstract

There are many studies on variations of the Maxwell model. Tichy (1996) discussed an admissible formulation of the Maxwell viscoelastic fluid model using a convected derivative and applied it to two-dimensional lubrication flow. Tichy obtained a solution using a regular perturbation in the Deborah number with the conventional lubrication solution as the leading term. This paper extends Tichy’s model by using a double regular perturbation to the convected Maxwell model. A correspondence solution can also be obtained. Our sliding velocity solution is different from Tichy’s solution; and a modified Reynolds equation is also different from that by Tichy.

Publisher

ASME International

Subject

Surfaces, Coatings and Films,Surfaces and Interfaces,Mechanical Engineering,Mechanics of Materials

Link

http://asmedigitalcollection.asme.org/tribology/article-pdf/127/2/302/5698692/302_1.pdf

Reference5 articles.

1. Tichy, J. A. , 1996, “Non-Newtonian Lubrication With the Convected Maxwell Model,” ASME J. Tribol., 118, pp. 344–348.

2. Beris, A. N., Armstrong, R. C., and Brown, R. A., 1983, “Perturbation Theory for Viscoelastic Fluids Between Eccentric Rotating Cyclinders,” J. Non-Newtonian Fluid Mech., 13, pp. 109–148.

3. Bird, R. B., Armstrong, R. A., and Hassager, O., 1987, Dynamics of Polymeric Liquids, Wiley and Sons, New York.

4. Dong, D., Kimura, Y., Okada, K., and Liu, W., 1993, “Grease Lubrication in Isothermo-Elastohydrodynamic Line Contact,” in Proceedings of the International Symposium on Tribology, October, 1993, Beijing, China, Vol. 1, pp. 91–98.

5. Naji, B., Bou-Sai¨d, B., and Berthe, D., 1989, “New Formulation for Lubrication With Non-Newtonian Fluids,” ASME J. Tribol., 111, No. 1, pp. 29–34.

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