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.
Perturbation Solution of Non-Newtonian Lubrication With the Convected Maxwell Model
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 July 6, 2004. Review conducted by: J. Tichy.
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Zhang, R., He, X., Yang, S. X., and Li, X. (April 7, 2005). "Perturbation Solution of Non-Newtonian Lubrication With the Convected Maxwell Model ." ASME. J. Tribol. April 2005; 127(2): 302–305. https://doi.org/10.1115/1.1843852
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