Stability Analysis of Three-Lobe Journal Bearing Lubricated with a Micropolar Fluids
Authors: Boualem Chetti
Abstract:
In this paper, the dynamic characteristics of a threelobe journal bearing lubricated with micropolar fluids are determined by the linear stability theory. Lubricating oil containing additives and contaminants is modelled as micropolar fluid. The modified Reynolds equation is obtained using the micropolar lubrication theory .The finite difference technique has been used to determine the solution of the modified Reynolds equation. The dynamic characteristics in terms of stiffness, damping coefficients, the critical mass and whirl ratio are determined for various values of size of material characteristic length and the coupling number. The computed results show that the three-lobe bearing lubricated with micropolar fluid exhibits better stability compared with that lubricated with Newtonian fluid. According to the results obtained, the effect of the parameter micropolar fluid is remarkable on the dynamic characteristics and stability of the three-lobe bearing.
Keywords: Three-lobe bearings, Micropolar fluid, Dynamic characteristics, Stability analysis.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1337845
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[1] A. C. , Eringen, “ Theory of micropolar fluids,” J. Math. Mech. 6, 1, pp. 1-18, 1966.
[2] T. T. Ariman and D. N. Sylverster “Application of microcontinuum fluid mechanics,” Int. J. Eng. Sci. Vol.12, pp. 273-293, 1974.
[3] S. J. Allen and K. A. Kline“Lubrication theory for micropolar fluids,” J. Appl. Mech., Trans. ASME. Vol.38, pp. 646-650, 1971
[4] Sukhla, J. B and Isa, M. “Generalized Reynolds equation for micropolar lubricants and its application to optimum one-dimensional slider bearing: effect of solid particules additives in solution,” J. Mech. Eng. Sci. Vol. 17, pp. 280-284, 1975.
[5] Prakash, J. and Sinha, P. ,“ Lubrication theory for micropolar fluids and its application to a journal bearing,” Int. J. Eng. Sci. Vol.13, pp. 217- 232, 1975
[6] Singh, C. and Sinha, P“The three-dimensional Reynolds equation for micropolar fluid-lubricated bearing,” Wear ,76, pp. 199-209, 1982.
[7] Huang, T., Weng, C. and Chen, C.“ Analysis of finite journal bearing with micropolar fluids,” Wear ,Vol.123, pp. 1-12,1988.
[8] Huang, T and Chen, C.,“ Dynamic characteristics of finite-width journal bearing with micropolar fluids,” Wear , 141, pp. 23-33, 1990..
[9] Lin, T. “ Hydrodynamic lubrication of journal bearings including micropolar lubricants and tree-dimensional irregularities,” Wear ,Vol. 192, pp. 21-28, 1996.
[10] Das, S., Guha, S. K. and Chattopadhyay, A. K.“ On the steady-state performance of misaligned hydrodynamic journal bearings lubricated with micropolar fluids,” J. Tribol. Int.. Vol. 35, pp. 201-210, 2002.
[11] Das, S., Guha, S. K and Chattopadhyay, A. K.“ Linear stability analysis of hydrodynamic journal bearings under micropolar lubrication,” J. Tribol. Int., Vol.38, pp. 500-507,2005.
[12] Pinkus, O. “Analysis and characteristics of the thee-lobe bearing,” ASME. Trans., Vol.81, pp. 49-55,1959..
[13] Lund, J. W. and Thomson, K. K. “ A Calculation Method and Data for the Dynamic Coefficients of Oil-Lubricated Journal Bearing,” Topics in Fluid Bearing and Rotor Bearing System Design and Optimizition, The ASME Design Eng. Conf. , pp. 1-29,1978.
[14] Falkenhagen, G. L. , Gunter, E. J. and Schuller, F. T.“ Stability and transient motion of a vertical three-lobe bearing system,”ASME. Trans. J. Eng. Industry. Vol.99, pp. 665-677, 1972.
[15] Sinhasan, R. , Malik, M. and Chandra, M.“ A comparative study of some three-lobe bearing configurations,” Wear, Vol.72, pp. 277-286,1981.
[16] Malik, M. Sinhasan, S. and Chandra, M.“ Design data for three-lobe bearings,”ASLE. Trans. Vol.24, pp. 345-353,1981.
[17] Abdul-Wahed, N., Nicolas, D. and Pascal, M. T“ Stability and Unbalance Response of Large Turbine Bearings,”J. Lubr. Technol, Trans. ASME. Vol.104, pp. 66-75,1982.
[18] Prabhu, B. S. (1997), “An Experimental Investigation on the Misalignment Effects in Journal Bearings,” Tribol. Trans. 40, 2, pp. 235- 242, 1997.
[19] Rao, N. and Sawicki, J. T. “Dynamic Coefficient Prediction in Multilobe Journal Bearings Using a Mass Conservation Algorithm,” Tribol. Trans. Vol.46, 3, pp. 414-420 ,2003.
[20] Prabhakaran, Nair. K, Sukumaran, Nair. V .P and Jayadas, N. H. “ Static and dynamic of elastohydrodynamic elliptical journal bearing with micropolar lubricant,”J. Tribol. Int. Vol. 40, pp. 297-305,2007.
[21] Rahmatabadi, A. D, Nekoeimehr, M. and Rashidi, R. “ Micropolar lubricants effects on the performance of noncircular lobed bearings,” J. Tribol. Int. Vol. 43, pp. 404-413.,2010.
[22] Chetti, B“ Micropolar lubricants effects on the dynamic characteristics of four-lobe journal bearings,” World Academy of science, Engineering and Technology, Vol. 59, pp. 570-574,2011.