On the Numerical Modeling of High-Speed Hydrodynamic Gas Bearings

[+] Author and Article Information
Marco Tulio C. Faria

Federal University of Minas Gerais, Department of Mechanical Engineering, Belo Horizonte, MG, Brazil 31270-901

Luis San Andrés

Texas A&M University, Department of Mechanical Engineering, College Station, Texas 77843-3123

J. Tribol 122(1), 124-130 (Mar 08, 1999) (7 pages) doi:10.1115/1.555335 History: Received October 06, 1998; Revised March 08, 1999
Copyright © 2000 by ASME
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Pan, C. H. T., 1990, “Gas Lubrication (1915–1990),” Achievements in Tribology, ASME Publication, pp. 31–55.
Beskok,  A., Karniadakis,  G. E., and Trimmer,  W., 1996, “Rarefaction and Compressibility Effects in Gas Microflows,” ASME J. Fluids Eng., 118, pp. 448–456.
Burgdorfer,  A., 1959, “The Influence of the Molecular Mean Free Path on the Performance of Hydrodynamic Gas Lubricated Bearings,” ASME J. Basic Eng., 81, pp. 94–100.
Hsia,  Y. T., and Domoto,  G. A., 1983, “An Experimental Investigation of Molecular Rarefaction Effects in Gas Lubricated Bearings at Ultra-low Clearances,” ASME J. Lubr. Technol., 105, pp. 120–130.
Mitsuya,  Y., 1993, “Modified Reynolds Equation for Ultra-thin Film Gas Lubrication Using 1.5-Order Slip-Flow Model and Considering Surface Accommodation Coefficient,” ASME J. Tribol., 115, pp. 289–294.
Gans,  R. F., 1985, “Lubrication Theory at Arbitrary Knudsen Number,” ASME J. Tribol., 107, pp. 431–433.
Fukui,  S., and Kaneko,  R., 1988, “Analysis of Ultra-thin Gas Film Lubrication Based on Linearized Boltzmann Equation—First Report— Derivation of a Generalized Lubrication Equation Including Thermal Creep Flow,” ASME J. Tribol., 110, pp. 253–262.
Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, Taylor & Francis, Hemisphere Publishing Corporation.
Cha,  E., and Bogy,  D. B., 1995, “A Numerical Scheme for Static and Dynamic Simulation of Subambient Pressure Rail Sliders,” ASME J. Tribol., 117, pp. 36–46.
Hu,  Y., and Bogy,  D. B., 1998, “Solution of the Rarefied Gas Lubrication Equation Using an Additive Correction Based Multigrid Control Volume Method,” ASME J. Tribol., 120, pp. 280–288.
Zheming,  Z., and Zheng,  S., 1993, “A New Method for the Numerical Solution of the Reynolds Equation at Low Spacing,” ASME J. Tribol., 115, pp. 83–87.
Xue,  Y., and Stolarski,  T. A., 1997, “Numerical Prediction of the Performance of Gas-lubricated Spiral Groove Thrust Bearings,” Proc. Inst. Mech. Eng. J: J. Eng. Tribol., 211, pp. 117–128.
van der Stegen, R. H. M., 1997, “Numerical Modelling of Self-Acting Gas Lubricated Bearings with Experimental Verification,” Ph.D. dissertation, The University of Twente, The Netherlands.
Garcia-Suarez, C., Bogy, D. B., and Talke, F. E., 1984, “Use of an Upwind Finite Element Scheme for Air-Bearing Calculations,” Tribology and Mechanics of Magnetic Storage Systems, ASLE Special Publication SP-16, pp. 90–96.
Wahl,  M. H., Lee,  P. R., and Talke,  F. E., 1996, “An Efficient Finite-Element Based Air Bearing Simulator for Pivoted Slider Bearings Using Bi-conjugate Gradient Algorithms,” STLE Tribology Trans., 39, No. 1, pp. 130–138.
Bonneau,  D., Huitric,  J., and Tournerie,  B., 1993, “Finite Element Analysis of Grooved Gas Thrust Bearings and Grooved Gas Face Seals,” ASME J. Tribol., 115, pp. 348–354.
Nguyen,  S. H., 1994, “A p-Version Finite Element Gas Bearing Program for Pivoted Calculations based on False Transient Response.” Design, 16, pp. 1–14.
Castelli,  V., and Pirvics,  J., 1968, “Review of Numerical Methods in Gas Bearing Film Analysis,” ASME J. Lubr. Technol., 90, pp. 777–792.
Reddi,  M. M., and Chu,  T. Y., 1970, “Finite Element Solution of the Steady-state Compressible Lubrication Problem,” ASME J. Lubr. Technol., 92, pp. 495–503.
Zirkelback,  N. L., and San Andrés,  L., 1998, “Effect of Frequency Excitation on the Force Coefficients of Spiral Groove Gas Seals,” ASME J. Tribol., 121, pp. 853–863.
Heinrich,  J. C., Huyakorn,  P. S., Zienkiewicz,  O. C., and Mitchell,  A. R., 1977, “An Upwind Finite Element Scheme for Two-dimensional Convective Transport Equation,” Int. J. Numer. Methods Eng., 11, pp. 131–143.
Hughes,  T. L. R., 1978, “A Simple Scheme for Developing “Upwind” Finite Elements,” Int. Numer. Methods Eng., 12, pp. 1359–1365.
Hamrock, B. J., 1994, Fundamentals of Fluid Film Lubrication, McGraw-Hill, New York.
DiPrima,  R. C., 1968, “Asymptotic Methods for an Infinitely Long Slider Squeeze-Film Bearing,” ASME J. Lubr. Technol., 90, pp. 173–183.


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Dimensionless pressure distribution in a Rayleigh step bearing (h1/h2=2;L1/L2=1)
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Dimensionless frequency dependent force coefficients (a) stiffness, K̄z and (b) damping, C̄z for a Rayleigh step bearing (h1/h2=2;L1/L2=1)
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Schematic views of (a) a plane slider bearing and (b) a Rayleigh step bearing
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Dimensionless pressure computed by the “exact” Galerkin scheme and the Galerkin scheme for three film thickness ratios at Λ=1000
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Dimensionless load capacity (per unit width) of plane slider bearings
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Comparative results for dimensionless load capacity of plane slider bearings
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Computational efficiency of the “exact” Galerkin and Petrov-Galerkin schemes for a plane slider bearing (h1/h2=3)
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Comparison of results obtained for dimensionless static stiffness in Rayleigh step bearings (L1/L2=1)
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Computational efficiency of the “exact” Galerkin and Petrov-Galerkin schemes for a Rayleigh step bearing (h1/h2=2;L1/L2=1)



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