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TECHNICAL PAPERS

An Efficient Finite Element Procedure for Analysis of High-Speed Spiral Groove Gas Face Seals

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

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

J. Tribol 123(1), 205-210 (Aug 03, 2000) (6 pages) doi:10.1115/1.1331276 History: Received February 29, 2000; Revised August 03, 2000
Copyright © 2001 by ASME
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References

Gas Lubricated Mechanical Face Seals, 1997, Burgmann Dichtungswerke GmbH & Co., Wolfratshausen, Germany.
Whipple, R. T. P., 1958, “The Inclined Groove Bearing,” AERE Report T/T 622 (revised), United Kingdom Atomic Energy Authority, Research Group, Atomic Energy Establishment, Harwell, Berkshire.
Malanoski,  S. B., and Pan,  C. H. T., 1965, “The Static and Dynamic Characteristics of the Spiral-Grooved Thrust Bearing,” ASME J. Basic Eng., 87, pp. 547–558.
Muijderman, E. A., 1966, Spiral Groove Bearings, Philips Technical Library, Springer-Verlag, New York.
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.
Satomi,  T., and Lin,  G., 1993, “Design Optimization of Spirally Grooved Thrust Air Bearings for Polygon Mirror Laser Scanners,” JSME International Journal, Series C, , 36, No. 3, pp. 393–399.
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.
Tournerie, B., Huitric, J., Bonneau, D., and Frene, J., 1994, “Optimization and Performance Prediction of Grooved Face Seals for Gases and Liquids,” Fourteenth International Conference on Fluid Sealing, Italy, pp. 351–365.
Hernandez,  P., and Boudet,  R., 1995, “Modelling of the Behavior of Dynamical Gas Seals: Calculation with a Finite Element Method Implicitly Assuring the Continuity of Flow,” Proc. Inst. Mech. Eng. Part J: J. Eng. Tribol., 209, pp. 195–201.
Zirkelback,  N. L., and San Andrés,  L., 1999, “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. J. R., 1978, “A Simple Scheme for Developing “Upwind” Finite Elements,” Int. J. Numer. Methods Eng., 12, pp. 1359–1365.
Faria,  M. T. C., and San Andrés,  L., 2000, “On the Numerical Modeling of High-Speed Hydrodynamic Gas Bearings,” ASME J. Tribol., 122, pp. 124–130.
Bathe, K. J., 1982, Finite Element Procedures in Engineering Analysis, Prentice Hall, Englewood Cliffs, New Jersey.
Faria, M. T. C., 1999, Finite Element Analysis of High-Speed Grooved Gas Bearings, Ph.D. dissertation, Texas A&M University; College Station, TX.
Stewart, G. W., 1996, Afternotes on Numerical Analysis, SIAM books, Philadelphia, PA.
Gabriel,  R. P., 1994, “Fundamentals of Spiral Groove Noncontacting Face Seals,” STLE Lubr. Eng., March , pp. 215–224.
Constantinescu,  V. N., and Dimofte,  F., 1987, “On the Influence of the Mach Number on Pressure Distribution in Gas Lubricated Step Bearings,” Rev. Roum. Sci. Tech., Ser. Mec. Appl., 32, No. 1, pp. 51–66.
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.

Figures

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Geometry and physical parameters of a SGGFS with rotating and stationary grooved surfaces: (a) stationary grooved face; (b) rotating grooved face; and detail of a ridge-groove pair.
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Transformation from local coordinates to natural coordinates for element (e)
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Comparative results for seal opening force in a SGGFS
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Comparative results for axial static stiffness coefficients in a SGGFS
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Normalized pressure field on a ridge-groove pair of a SGGFS computed by the high-order and incremental FEM schemes (Λ=1759): (a) high-order FEM prediction with 110 elements; and (b) incremental FEM prediction with 576 elements.
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Dimensionless seal opening force and leakage rate versus speed number for three values of pressure ratio
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Dimensionless stiffness and damping coefficients versus the frequency number for a SGGFS (po/pi=5)

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