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TECHNICAL PAPERS

A Triangle Based Finite Volume Method for the Integration of Lubrication’s Incompressible Bulk Flow Equations

[+] Author and Article Information
Mihai Arghir, Jean Fre⁁ne

LMS, Université de Poitiers, URF Sciences SP2MI, Téléport 2, Blvd. Pierre et Marie Curie, BP 30719, 86962 Futuroscope Chasseneuil Cedex, France

J. Tribol 123(1), 118-124 (Jul 25, 2000) (7 pages) doi:10.1115/1.1326444 History: Received March 06, 2000; Revised July 25, 2000
Copyright © 2001 by ASME
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References

Constantinescu, V. N., 1995, Laminar Viscous Flow, Springer-Verlag, New York, NY.
Milne,  A. A., 1959, “On the Effect of Lubricant Inertia in the Theory of Hydrodynamic Lubrication,” ASME J. Basic Eng., 81, pp. 239–244.
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Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, McGraw-Hill, New York.
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Rhie,  C. M., and Chow,  W. L., 1983, “A Numerical Study of the Turbulent Flow Past an Isolated Airfoil with Trailing Edge Separation,” AIAA J., 21, pp. 1525–1532.
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Hirs,  G., 1973, “A Bulk Flow Theory for Turbulence in Lubricant Films,” ASME J. Lubr. Technol., 95, April, pp. 137–146.
Ferziger, J. H., and Peric, M., 1996, Computational Methods for Fluid Dynamics, Springer-Verlag.
Venkatakrishnan,  V., 1995, “Convergence to Steady State Solutions of the Euler Equations on Unstructured Grids with Limiters,” J. Comput. Phys. 118, pp. 120–130.
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Constantinescu, V. N., et al., 1985, Sliding Bearings, Allerton Press.
George, P. L., 1991, Automatic Mesh Generation. Application to Finite Element Methods, Wiley, New York.
Fre⁁ne, J., Nicolas, D., Degueurce, B., Berthe, D., and Godet, M., 1990, Lubrification Hydrodynamique. Paliers et butées, Editions Eyrolles.
Amoser, M., 1995, “Strömungsfelder und Radialkräfte in Labyrinthdichtungen hydraulischer Strömungsmascinen,” Dissertation ETH Zurich Nr. 11150.
Arghir,  M., and Fre⁁ne,  J., 1999, “A Quasi-Two-Dimensional Method for The Rotordynamic Analysis of Centered Labyrinth Liquid Seals” ASME J. Eng. Gas Turbines Power, 121, pp. 144–152.
Kanki, H., and Kawakami, T., 1984, “Experimental Study on the Dynamic Characteristics of Pump Annular Seals,” Proceedings of the Institution of Mechanical Engineers, Paper C297/84, London, United Kingdom, pp. 159–166.
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Figures

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Triangular control volume and its neighbors
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Triangular grids employed (a) for a one-dimensional pad and (b) for the developed surface of circular bearings and annular seals
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Pressure distribution in a shear driven one-dimensional pad
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Pressure distribution in a pressure driven one-dimensional pad
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Pressure variation in the midsection of a short bearing
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Superposed pressure field (light colors—high pressure zones, dark colors—low pressure zones) and unscaled velocity vectors in a short bearing
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Radial and tangential force components in an eccentric annular seal
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Total force in a straight annular seal

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