Ferro Fluid Based Squeeze Film in a Longitudinally Rough Surface Bearing of Infinite Width: A Comparative Study
A hydromagnetic squeeze film in a longitudinally rough parallel surface bearing has been discussed with the consideration of two different form of the magnitude of the associated magnetic field. In the light of the model of Christensen–Tonder regarding surface roughness, the load capacity is obtained after getting the pressure distribution by solving the stochastically averaged Reynolds’ equation. The results presented here indicate that the magnetization offers a good amount of help in decreasing the unfavorable effect of roughness. In the case of the trigonometric form of magnitude it helps most. Besides, providing an additional degree of freedom, this article suggests some scopes for reducing the adverse effect of variance positive, skewness positive by magnetization and standard deviation in the case of negatively skewed roughness when negative variance is involved. Comparison of performance for both the forms of the magnitude informs that the trigonometric form of the magnitude presents a better picture to be used in the industry.
KeywordsSqueeze film Ferro fluid lubrication Rough surface Bearing of infinite width Load bearing capacity
The authors would like to thank both the reviewers and the editor for their fruitful comments and constructive suggestions for improving the quality of the article.
- 1.Andharia, P.I.: Gupta, J.L., Deheri, G.M.: Effect of longitudinal surface roughness on hydrodynamic lubrication of slider bearings. In: Proceedings of the 10th International Conference on Surface Modification Technologies, pp. 872–880. The Institute of Materials, London (1997)Google Scholar
- 6.Andharia, P.I., Deheri, G.M.: Performance of magnetic fluid based squeeze film between longitudinally rough elliptical plates. ISRN Tribol. 6. Article ID482604 (2013)Google Scholar
- 7.Panchal, G., Patel, H., Deheri, G.M.: Influence of magnetic fluid through a series of flow factors on the performance of a longitudinally rough finite slider bearing. Glob. J. Pure Appl. Math. 12(1), 783–796 (2016)Google Scholar
- 8.Shimpi, M.E., Deheri, G.M.: Combined effect of bearing deformation and longitudinal roughness on the performance of a ferrofluid based squeeze film together with velocity slip in truncated conical plates. Imperial J. Interdisc. Res. 2(6), 1423–1430 (2016)Google Scholar
- 9.Bhat, M.V.: Lubrication with a Magnetic Fluid. Team Spirit, India, Pvt. Ltd. (2003)Google Scholar
- 12.Acharya, A.S., Patel, R.M., Deheri, G.M.: Ferro fluid squeeze film in infinitely rough rectangular plates. Int. J. Sci. Eng. Res. 6(8), 2109–2120 (2015)Google Scholar
- 15.Christensen, H., Tonder, K.C.: Tribology of rough surfaces: parametric study and comparison of lubrication models. SINTEF report, no. 22/69–18 (1969a)Google Scholar
- 16.Christensen, H., Tonder, K.C.: Tribology of rough surfaces: stochastic models of hydrodynamic lubrication. SINTEF report, no. 10/69–18 (1969b)Google Scholar
- 17.Christensen, H., Tonder, K.C.: The hydrodynamic lubrication of rough bearing surface of finite width. In: ASME-ASLE Lubrication Conference, Paper no. 70- Lub-7 (1970)Google Scholar
- 18.Hamrock, B.J.: Fundamentals of Fluid Film Lubrication. McGraw-Hill, New York (1994)Google Scholar
- 19.Prajapati, B.L.: On certain theoretical studies in hydrodynamic and electromagnetohydrodynamic lubrication, Ph.D. thesis, S.P. University. Vallabh Vidyanagar, Gujarat, India (1995)Google Scholar