On the Steady-State Performance Characteristics of Finite Hydrodynamic Journal Bearing under Micro-Polar Lubrication with Turbulent Effect

Authors: Subrata Das, Sisir Kumar Guha

Abstract:

The objective of the present paper is to theoretically investigate the steady-state performance characteristics of journal bearing of finite width, operating with micropolar lubricant in a turbulent regime. In this analysis, the turbulent shear stress coefficients are used based on the Constantinescu’s turbulent model suggested by Taylor and Dowson with the assumption of parallel and inertia-less flow. The numerical solution of the modified Reynolds equation has yielded the distribution of film pressure which determines the static performance characteristics in terms of load capacity, attitude angle, end flow rate and frictional parameter at various values of eccentricity ratio, non-dimensional characteristics length, coupling number and Reynolds number.

Keywords: Hydrodynamic lubrication, steady-state, micropolar lubricant, turbulent.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1088962

References:

[1] D. F. Wilcock, “Turbulence in high-speed journal bearings,” Trans. ASME, 72: 825-834, 1950.
[2] V. N. Constantinescu, “On Turbulent Lubrication,” Proceedings of the Institution of Mechanical Engineering, London, 173(38): 881-900, 1959.
[3] V. N. Constantinescu, “Analysis of Bearings Operating in Turbulent Regime,” Journal of Basic Engineering, Trans. ASME, 84(1): 139-151, 1962.
[4] V. N. Constantinescu, “On some secondary effects in self-acting gas lubricated bearings,” ASLE Trans., 7: 257-268, 1964.
[5] V. N. Constantinescu, “Theory of turbulent lubrication,” International Symposium Lubrication and Wear, Houston, 159, 1964.
[6] V. N. Constantinescu, and S. Galetuse, “On the determination of friction forces in turbulent lubrication,” ASLE Transactions, 8(4): 367-380, 1965.
[7] V. N. Constantinescu, “On the influence of inertia forces in turbulent and laminar self-acting films,” Journal of Lubrication Technology, Trans. ASME, 92(3): 473-480, 1970.
[8] V. N. Constantinescu, “Lubrication in the turbulent regime,” AFC-tr-6959 (U. S. Atomic Energy Commission, Division of Technical Information), 1968.
[9] C. W. Ng, and C. H. T. Pan, “A linearised turbulent lubrication theory,” J. Basic Engineering, September: 675-688, 1965.
[10] H. G. Elrod, and C. W. Ng, “A theory of turbulent fluid films and its application to bearings,” ASME, J. Lubri. Tech., July: 346-362, 1967.
[11] C. M. Taylor, and D. Dawson, “Turbulent lubrication theory- Application to design,” ASME, J. Lubri. Tech., January: 36-47, 1974.
[12] M. K. Ghosh, and A. Nagraj, “Rotordynamic characteristics of a multilobe hybrid journal bearing in turbulent lubrication,” Proc. Instn. Mech. Engrs., Part-J, 218: 61-67, 2004.
[13] A. Eringen, “Simple microfluids,” Int. J. Engng. Sci., 2: 205-217, 1964.
[14] A. Eringen, “Theory of micropolar fluids,” J. Math. Mechanics, 16: 1 – 18, 1966.
[15] J. B. Sukhla, and M. Isha, “Generalised Reynolds equation for micropolar lubricants and its application to optimum one-dimensional slider bearings; effects of solid particle additives in solution,” J. Mech. Engng. Sci., 17: 280 – 284, 1975.
[16] Kh. Zaheeruddin, and M. Isha, “Micropolar fluid lubrication of one-dimensional journal bearings,” Wear, 50: 211 – 220, 1978.
[17] J. Prakash, and P. Sinha, “Lubrication theory of micropolar fluids and its application to a journal bearing,” Int. J. Engng. Sci., 13: 217 – 232, 1975.
[18] N. Tipei, “Lubrication with micropolar fluids and its application to short bearings,” Trans. ASME, J. Lubrication Technology, 101: 356 – 363, 1979.
[19] P. Sinha, C. Singh, and K. R. Prasad, “ Effect of viscosity variatioin due to lubricant additives in journal bearings,” Wear, 66: 183 – 188, 1981.
[20] M. M. Khonsari, and D. E. Brewe, “On the performance of finite journal bearing lubricated with micropolar fluid,” STLE Tribology Trans., 32(2): 155 – 160, 1989.
[21] S. Das, S. K. Guha, and A. K. Chattopadhya, “On the steady-state performance of misaligned hydrodynamic journal bearings lubricated with micropolar fluids,” Tribology International, 35: 201 – 210, 2002.
[22] S. Allen, and, K. Kline, “Lubrication theory of micropolar fluids,” J. Appl. Mech., 38(3): 646 – 650, 1971.
[23] B. S. Shenoy, and R. Pai, “Effect of turbulence on the static performance of a misaligned externally adjustable fluid film bearing lubricated with coupled stress fluids,” Tribology International, 44: 1774 – 1781, 2011.
[24] S. S. Gautam, and, S. Samanta, “Analysis of short bearing in turbulent regime considering micropolar lubrication,” World Academy of Science, Engg. and Tech., 68: 1400 – 1405, 2012.
[25] M. Faralli, and, N. P. Belfiore, “Steady-state analysis of worn spherical bearing operating in turbulent regime with non-newtonian lubricants,” Int. Conf. in Tribology, AITC – AIT, 20 – 22, Sept., 2006, Parma, Italy.