Stability Analysis of Three-Lobe Journal Bearing Lubricated with a Micropolar Fluids
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.
[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.
[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.
@article{"International Journal of Chemical, Materials and Biomolecular Sciences:68721", author = "Boualem Chetti", title = "Stability Analysis of Three-Lobe Journal Bearing Lubricated with a Micropolar Fluids", 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.", volume = "8", number = "12", pages = "1464-6", }
