Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-27T06:37:58.865Z Has data issue: false hasContentIssue false

Rheological Characteristics for Thin Film Elastohydrodynamic Lubrication with Non-Newtonian Lubricants

Published online by Cambridge University Press:  05 May 2011

H.-M. Chu*
Affiliation:
Department of Mechanical and Automation Engineering, I-Shou University, Kaohsiung County, Taiwan 84001, R.O.C.
Y.-P. Chang*
Affiliation:
Department of Mechanical Engineering, Kun Shan University, Tainan, Taiwan 71003, R.O.C.
W.-L. Li*
Affiliation:
Institute of Nanotechnology and Microsystems Engineering, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
*
*Associate Professor
*Associate Professor
*Associate Professor
Get access

Abstract

The modified Reynolds equation for power law fluid is derived from the viscous adsorption theory for thin film elastohydrodynamic lubrication (TFEHL). The differences between classical non-Newtonian EHL and non-Newtonian TFEHL are discussed. Results show that the proposed model can reasonably calculate the pressure distribution, the film thickness, the velocity distribution and the average viscosity under thin film lubrication. The thickness (δ), the viscosity (m1), and the flow index (n1) of the adsorption layer influence significantly the lubrication characteristics of the contact conjunction. Furthermore, the film thickness increases with the increase of n1 and the film thickness affected by m1 is greater than that affected by n1, but the effect of n1 produces a very small difference in the pressure distributions. In addition, the greater n1, the smaller the change of velocity distribution in the adsorption layer, and the greater the change of velocity distribution in the middle layer. The larger δ and n1, the larger the deviation on log (film thickness) vs. log (speed) produced in the very thin film regime. In the region of the flow index ratio between 1.0 and 1.3, the difference in film thickness is significant. When the flow index of the adsorption layer is 1.6 times greater than the flow index of the middle layer, the adsorption layer is generally looked upon as a “solid-like”.

Type
Articles
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2007

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.Guangteng, G. and spikes, H. A., “Boundary Film Formation by Lubricant Base Fluids,” STLE, 39, pp. 448454 (1996).Google Scholar
2.Luo, Jianbin, Wen, Shizhu and Huang, Pin, “Thin Film Lubrication, Part I : Study on the Transition Between EHL and Thin Film Lubrication Using a Relative Optical Interference Intensity Technique,” Wear, 194, pp. 107115 (1996).Google Scholar
3.Hartl, M., Krupka, I., Poliscuk, R., Liska, M., Molimard, J., Querry, M. and Vergne, P., “Thin Film Colorimetric Interferometry,” STLE, 44, pp. 270276 (2001).Google Scholar
4.Gee, M. L., McGuiggan, P. M. and Israelachvili, J. N., “liquid to Solidlike Transition of Molecularly Thin Film Under Shear,” J. Chem. Physics, 93(3), pp. 18951906 (1990).Google Scholar
5.Chu, Hsiao-Ming, Lee, Rong-Tsong, Hu, Suey Yueh, and Chang, Yuh-Ping, “Rheological Characteristics for Thin Film Elastohydrodynamic Lubrication,” Journal of Mechanics, 21, pp. 7784 (2005).Google Scholar
6.Chan, D. Y. C. and Horn, R. G., “The Drainage of Thin Liquid Films Between Solid Surfaces,” J. Chem. Phys., 83, pp. 53115324 (1985).Google Scholar
7.Tichy, J. A., “Modeling of Thin Film Lubrication,” STLE, 38, pp. 108118 (1995).Google Scholar
8.Tichy, J. A., “A Surface Layer Model for Thin Film Lubrication,” STLE, 38, pp. 577582 (1995).Google Scholar
9.Jang, Siyoul and Tichy, John, “Rheological Models for Thin Film EHL contacts,” ASMEJ. Of Tribology, 117, pp. 2228(1995).Google Scholar
10.Zhang, Chaohui, Luo, Jianbin, and Wen, Shizhu, “A New Postulation of Viscosity and its Application in Computation of Film Thickness in TFL,” ASME J. of Tribology, 124, pp. 811814 (2002).Google Scholar
11.Qu, Qingwen, Wang, Mei, Chai, Shan, Yao, Fusheng, “Velocity Analysis for Layered Viscosity Model Under Thin Film Lubrication,” Tribology International, 34, pp. 517521 (2001).Google Scholar
12.Dien, I. K. and Elrod, B. C., “A Generalized Steady State Reynolds Equation for Non-Newtonian Fluids, with Application to Journal Bearings,” ASME Trans. J. Lub. Tech., 105(3), pp. 385–90 (1983).Google Scholar
13.Wang, S. H., Hua, D. Y. and Zhang, H. H., “A Full Numerical EHL Solution for Line Contacts Under Pure Rolling Condition with a Non-Newtonian Rheological Model,” ASME J. Of Tribology, 110, pp. 583586 (1988).CrossRefGoogle Scholar
14.Sinha, Prawal and Singh, Chandan, “Non-Newtonian Squeeze Films in Spherical Bearings,” Wear, 68, pp. 133140(1981).Google Scholar
15.Bhattacharjee, R. C. and Das, N. C., “Power Law Fluid Model Incorporated Into Elastohydrodynamic Lubrication Theory of Line Contact,” Tribology International, 29 (5), pp. 405413 (1996).Google Scholar
16.Nicholson, D., Parsonage, N. G., Computer Simulation and the Statistical Mechanics of Adsorption, Academic Press (1982).Google Scholar
17.Dowson, D. and Higginson, G. R.Elastohydrodynamic Lubrication,” Pergamon Press, pp. 8892 (1966).Google Scholar
18.Roelands, C. J. A., Vlugter, J. C. and Watermann, H. I.The Viscosity Temperature Pressure Relationship of Lubricating Oils and its Correlation with Chemical Constitution,” ASME Journal of Basic Engineering, pp. 601606 (1963).Google Scholar
19.Hsu, C. H. and Lee, R. T., “An Efficient Algorithm for Thermal Elastohydrodynamic Lubrication Under Rolling/Sliding Line Contacts,” ASME Trans. J. Tribology, 116, pp. 762769 (1994).Google Scholar