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TECHNICAL PAPERS

Direct and Inverse Solutions for Elastohydrodynamic Lubrication of Finite Porous Journal Bearings

[+] Author and Article Information
Abdallah A. Elsharkawy, Lotfi H. Guedouar

Department of Mechanical and Industrial Engineering, College of Engineering and Petroleum, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait

J. Tribol 123(2), 276-282 (Jun 27, 2000) (7 pages) doi:10.1115/1.1308025 History: Received January 27, 2000; Revised June 27, 2000
Copyright © 2001 by ASME
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References

Morgan, V. T., and Cameron, A., 1957, “Mechanism of Lubrication in Porous Metal Bearings,” Proceedings of the Conference on Lubrication and Wear, Inst. of Mech. Eng., London, No. 89, pp. 151–157.
Cusano,  C., 1972, “Lubrication of Porous Journal Bearings,” Trans. ASME J. Lubr. Technol., 94, No. 1, pp. 69–73.
Murti,  P. R. K., 1971, “Hydrodynamic Lubrication of Long Porous Bearings,” Wear, 18, pp. 449–460.
Murti,  P. R. K., 1973, “Effect of Slip Flow in Narrow Porous Bearings,” Trans. ASME J. Lubr. Technol., 95, pp. 518–523.
Prakash,  J., and Vij,  S. K., 1974, “Analysis of Narrow Porous Journal Bearing Using Beavers-Joseph Criterion of Velocity Slip,” Trans. ASME, J. Appl. Mech., 96, No. 2, pp. 348–353.
Rouleau,  W. T., and Steiner,  L. I., 1974, “Hydrodynamic Porous Journal Bearings, Part I: Finite Full Bearings,” Trans. ASME J. Lubr. Technol., 96, pp. 346–353.
Lin,  J. R., and Hwang,  C. C., 1993, “Lubrication of Short Porous Journal Bearings—Use of the Brinkman–Extended Darcy Model,” Wear, 161, pp. 93–104.
Li,  W., 1999, “Derivation of Modified Reynolds Equation—A Porous Media Model,” Trans. ASME, J. Tribol., 121, pp. 823–829.
Reason,  B. R., and Dyer,  D., 1973, “A Numerical Solution for the Hydrodynamic Lubrication of Finite Porous Journal Bearings,” Proc. Inst. Mech. Eng., 87, pp. 71–78.
Reason,  B. R., and Siew,  A. H., 1985, “A Refined Numerical Solution for the Hydrodynamic Lubrication of Finite Porous Journal Bearings,” Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., 199, No. C2, pp. 85–93.
Kaneko,  S., Takabatake,  H., and Ito,  K., 1999, “Numerical Analysis of Static Characteristics at Start of Operation in Porous Journal Bearings With Sealed Ends,” Trans. ASME, J. Tribol., 121, pp. 62–68.
Meurisse,  M-H, and Giudicelli,  B., 1999, “A 3D Conservative Model for Self-Lubricated Porous Journal Bearings in a Hydrodynamic Steady State,” Trans. ASME J. Tribol., 121, pp. 529–537.
Mak,  W. C., and Conway,  H. D., 1977, “Analysis of Short, Porous, Flexible Journal Bearings,” Int. J. Mech. Sci., 19, pp. 295–300.
Mak,  W. C., and Conway,  H. D., 1977, “The Lubrication of a Long, Porous, Flexible Journal Bearings,” Trans. ASME J. Lubr. Technol., 99, pp. 449–454.
Lin,  J. R., Hwang,  C. C., and Yang,  R. F., 1996, “Hydrodynamic Lubrication of Long, Flexible, Porous Journal Bearings Using the Brinkman Model,” Wear, 198, pp. 156–164.
Lin,  J. R., and Hwang,  C. C., 1994, “Hydrodynamic Lubrication of Finite Porous Journal Bearings—Use of the the Brinkman–Extended Darcy Model,” Int. J. Mech. Sci., 36, No. 7, pp. 631–644.
Higginson,  G. R., 1965, “The Theoretical Effects of Elastic Deformation of the Bearing Liner on Journal Bearing Performance,” Proc. Symp. On Elastohydrodynamic Lubrication, Inst. Mech. Engrs., 180, Part 3B, pp. 31–38.
O’Donoghue,  J., Brighton,  D. K., and Hooke,  C. J. K., 1967, “The Effect of Elastic Distorsions on Journal Bearing Performance,” Trans. ASME J. Lubr. Technol., 89, No. 4, Series F, pp. 409–417.
Conway,  H. D., and Lee,  H. C., 1975, “The Analysis of a Lubrication of Flexible Journal Bearings,” Trans. ASME J. Lubr. Technol.,97, pp. 599–353.
Lahmar,  M., Haddad,  A., and Nicolas,  D., 1998, “Elastohydrodynamic Analysis of One-Layered Journal Bearings,” J. Eng. Tribol. Proc. Inst. Mech. Engrs., Part J, 212, pp. 193–205.
Jain,  S. C., Sinhasan,  R., and Singh,  D. V., 1984, “A Study of EHD Lubrication in a Journal Bearing with Piezoviscous Lubricants,” ASLE Trans., 27, pp. 168–176.
Chandrawat,  H. N., and Sinhasan,  R., 1988, “A Study of Steady State and Transient Performance Characteristics of a Flexible Shell Journal Bearing,” Tribol. Int., 21, No. 3, pp. 137–148.
Cameron,  A., Morgan,  V. T., and Stainsby,  A. E., 1962, “Critical Conditions for Hydrodynamic Lubrication of Porous Metal Bearings,” Lubrication and Wear Group, Proc. Inst. Mech. Eng., 176, No. 28, pp. 761–770.
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Figures

Grahic Jump Location
Porous journal bearing geometry and coordinate system
Grahic Jump Location
Comparison of the pressure distribution computed for the finite length journal bearing with that given in Jain et al. 21 for c/R=8×10−4,μ=3.3×10−4 Pa s,t/R=0.4, ω=100π rad/s, R=25×10−3 m, ε=0.6, R/L=0.5,E=162 GPa, ν=0.3, and K=0 (nonporous liner)
Grahic Jump Location
Comparison between theoretical and experimental results of friction number versus dimensionless load for c=12×10−6 m,R=9.5×10−3 m,R/L=0.38,t=3×10−3 m,K=1×10−14 m2, ω=50 rpm, μ=0.025 Pa s, E=207 GPa, and ν=0.3
Grahic Jump Location
Comparison between theoretical and experimental results for c=82.5×10−6 m,R=9.5×10−3 m,R/L=0.289,t=6×10−3 m,K=1.5×10−13 m2, ω=380 rpm, μ=0.025 Pa s, E=207 GPa, and ν=0.3: (a) dimensionless load versus eccentricity ratio, (b) friction coefficient versus dimensionless load
Grahic Jump Location
Effect of eccentricity ratio ε on dimensionless pressure profile at ψ=0.01 (R1=25×10−3 m,t/R1=0.2,c/R1=0.001,R/L=0.5, and α=1): (a) pressure distribution along the circumferential direction at bearing mid plane, (b) pressure distribution along the axial direction at the plane of maximum pressure
Grahic Jump Location
Effect of eccentricity ratio ε on dimensionless pressure profile at ψ=0.1 (R1=25×10−3 m,t/R1=0.2,c/R1=0.001,R/L=0.5, and α=1): (a) pressure distribution along the circumferential direction at bearing midplane, (b) pressure distribution along the axial direction at the plane of maximum pressure
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Effect of pressure random error on predicted parameters ε and ψ (R1=25×10−3 m,t/R1=0.2,c/R1=0.001,R/L=0.5,C0=0, and α=1)
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Input pressure sensors readings for inverse analysis (R1=25×10−3 m,t/R1=0.2,c/R1=0.001,R/L=0.5,C0=0, and α=1): (a) pressure distribution along the circumferential direction at bearing mid plane, (b) pressure distribution along the axial direction at the plane of ϕ=200 deg
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Constant load lines (numerically similar pressure profiles) in the ε-ψ plane
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Effect of the initial guess on the two-parameter estimation solution

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