Three-dimensional stream functions for flows in elastohydrodynamically lubricated elliptical conjunctions are formulated. Closed-form and numerical solutions for the stream functions on special planes are obtained. Streamlines on these special planes are plotted to reveal the trajectories of the lubricant particles that pass by, pass through, or flow back from the Hertzian contact zone. Furthermore, a conceptual column stream function and column streamlines are introduced to present the three-dimensional flow in a two-dimensional manner. Thereby, the column streamlines can be plotted to visualize and quantify the flow rates of the lubricant that passes by or passes through the Hertzian zone.
Issue Section:
Technical Papers
1.
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, 1966
, “Separation in the Flow Between Eccentric Rotating Cylinders
,” ASME J. Basic Eng.
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, “Flow between Eccentric Rotating Cylinders
,” ASME J. Lubr. Technol.
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.3.
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4.
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,” ASME J. Lubr. Technol.
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.5.
Shieh, J. A., and Hamrock, B. J., 1989, “Stream Functions in Fluid Film Lubrication,” Proceedings of U.S./Taiwan Joint Symposium on Tribology, pp. 69–78.
6.
Shieh
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,” ASME J. Tribol.
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, pp. 372
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.7.
Hsiao
, H.-S. S.
, and Hamrock
, B. J.
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, “A Complete Solution for Thermal-Elastohydrodynamic Lubrication of Line Contacts Using Circular Non-Newtonian Fluid Model
,” ASME J. Tribol.
, 114
, No. 3
, pp. 540
–552
.8.
Hsiao
, H.-S. S.
, and Hamrock
, B. J.
, 1994
, “Temperature Distribution and Thermal Degradation of the Lubricant in EHL Line Contact Conjunctions
,” ASME J. Tribol.
, 116
, No. 4
, pp. 794
–803
.9.
Hsiao
, H.-S. S.
, Hamrock
, B. J.
, and Tripp
, J. H.
, 1998
, “Finite Element System Approach to EHL of Elliptical Contacts: Part I—Isothermal Circular Non-Newtonian Formulation
,” ASME J. Tribol.
, 120
, No. 4
, pp. 695
–704
.10.
Hsiao
, H.-S. S.
, Hamrock
, B. J.
, and Tripp
, J. H.
, 1999
, “Finite Element System Approach to EHL of Elliptical Contacts: Part II—Isothermal Results and Performance Formulas
,” ASME J. Tribol.
, 121
, No. 4
, pp. 711
–720
.Copyright © 2001
by ASME
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