MATEC Web Conf.
Volume 145, 2018NCTAM 2017 – 13th National Congress on Theoretical and Applied Mechanics
|Number of page(s)||10|
|Published online||09 January 2018|
On the modified Reynolds equation for journal bearings in a case of non-Newtonian Rabinowitsch fluid model
UCTM, Dept. of Applied Mechanics, 8 Kliment Ohridski Blvd., 1756 Sofia, Bulgaria
2 UCTM, Dept. of Mathematics, 8 Kliment Ohridski Blvd., 1756 Sofia, Bulgaria
* Corresponding author: email@example.com
In this paper, a theoretical analysis of hydrodynamic plain journal bearings with finite length at taking into account the effect of non-Newtonian lubricants is presented. Based upon the Rabinowitsch fluid model (cubic stress constitutive equation) and by integrating the continuity equation across the film, the nonlinear modified 2D Reynolds type equation is derived in details so that to study the dilatant and pseudoplastic nature of the lubricant in comparison with Newtonian fluid. A dimensionless equation of hydrodynamic pressure distribution in a form appropriate for numerical modeling is also presented. Some particular cases of 1D applications can be recovered from the present derivation.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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