Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-24T16:03:17.354Z Has data issue: false hasContentIssue false

Linear Stability Analysis of Journal Bearings Lubricated With a Non-Newtonian Rabinowitsch Fluid

Published online by Cambridge University Press:  28 June 2017

J. R. Lin*
Affiliation:
Nanya Institute of TechnologyTaoyuan, Taiwan
T. C. Hung
Affiliation:
National Taipei University of TechnologyTaipei, Taiwan
C. H. Lin
Affiliation:
National Taipei University of TechnologyTaipei, Taiwan
*
*Corresponding author ([email protected])
Get access

Abstract

The linear stability boundaries of journal bearings lubricated with a non-Newtonian fluid have been investigated in this paper. Based on the Rabinowitsch fluid model, a non-Newtonian dynamic Reynolds equation for journal bearings is derived and then applied to analyze the linear dynamic characteristics of short journal bearings. Comparing with the Newtonian-lubricant case, the non-Newtonian rheology of dilatant lubricants provides a larger area of linearly stable region. However, the non-Newtonian properties of pseudo-plastic lubricants results in a reverse trend for the short journal bearing.

Type
Research Article
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2019 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Singh, U. P., Gupta, R. S. and Kapur, V. K., “On the Steady Performance of Hydrostatic Thrust Bearing: Rabinowitsch Fluid Model,” Tribology Transactions, 54, pp. 723729 (2011).Google Scholar
2. Singh, U. P. and Gupta, R. S., “Non-Newtonian Effects on the Squeeze Film Characteristics between a Sphere and a Flat Plate: Rabinowitsch Model,” Advances in Tribology, Article ID 571036 (2012).Google Scholar
3. Lin, J. R., Chu, L. M., Hung, C. R., Lin, M. C. and Lu, R. F., “Effects of Non-Newtonian Rheology on Curved Circular Squeeze Films: the Rabinowitsch Fluid Model,” Zeitschrift für Naturforschung A, 68a, pp. 291299 (2013).Google Scholar
4. Hashimoto, H., “Non-Newtonian Effects on the Static Characteristics of One Dimensional Slider Bearings in the Inertial Flow Regime,” Journal of Tribology, 116, pp. 303309 (1994).Google Scholar
5. Lin, J. R., “Non-Newtonian Effects on the Dynamic Characteristics of One-dimensional Slider Bearings: Rabinowitsch Fluid Model,” Tribology Letters, 10, pp. 237243 (2001).Google Scholar
6. Wada, S. and Hayashi, H., “Hydrodynamic Lubrication of Journal Bearings by Pseudo-plastic Lubricants (Part 2, Experimental Studies),” Bulletin of the JSME, 14, pp. 279286 (1971).Google Scholar
7. Sheeja, D. and Prabhu, B. S., “Thermodynamic Lubrication of Non-Newtonian Journal Bearing,” Journal of Physics D: Applied Physics, 25, pp. 17061712 (1992).Google Scholar
8. Pinkus, O. and Sternlicht, B., Theory of Hydrodynamic Lubrication, McGraw-Hill, New York (1961).Google Scholar
9. Ogata, K., Modern Control Engineering, Prentice Hall, New Jersey (2010).Google Scholar
10. Lin, J. R., “The Influences of Longitudinal Surface Roughness on Sub-Critical and Super-Critical Limit Cycles of Short Journal Bearings,” Applied Mathematical Modelling, 38, pp. 392404 (2014).Google Scholar