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RESEARCH PAPERS

Non-Newtonian Lubrication With the Second-Order Fluid

[+] Author and Article Information
W. G. Sawyer, J. A. Tichy

Rensselaer Polytechnic Institute, Department of Mechanical Engineering, Aeronautical Engineering, and Mechanics, Troy NY 12180-3590

J. Tribol 120(3), 622-628 (Jul 01, 1998) (7 pages) doi:10.1115/1.2834596 History: Received February 07, 1997; Revised June 30, 1997; Online January 30, 2008

Abstract

In certain applications where the lubricant is subjected to rapidly changing conditions along its flowing path (such as an elastohydrodynamic contact), the inherently time dependent nature of the lubricant may be significant. The simplest type of model to correctly account for such time dependence is the second-order fluid, which is a systematic small departure from Newtonian behavior, involving higher order rate-of-rate-of strain tensors. As in a companion paper using the Maxwell model, the formalities of applying such a model to thin film flow are emphasized. Using a regular perturbation in the Deborah number, with the conventional lubrication solution as the leading term, a solution can be obtained. Viscoelasticity may raise or lower pressure depending on the nature of edge boundary conditions.

Copyright © 1998 by The American Society of Mechanical Engineers
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