Affiliation:
1. Department of Mechanical Engineering and Applied Mechanics, Wales Hall, University of Rhode Island, Kingston, RI 02881
Abstract
Osborne Reynolds’ classical paper on the theory of lubrication Reynolds (1886) produced the generalized Reynolds equation. For spherical bearing applications, the generalized Reynolds equation is transformed in order to obtain useful results when the hemispherical shell is not in a horizontal position. A new film thickness expression is also presented. These transformations permit the determination of pressure distributions and fluid film thickness for any orientation of the hemispherical shell including the horizontal position, for which the conventional description of Reynolds equation is well suited. The resulting equation in two-dimensional form, for an incompressible, variable viscosity fluid, with upper and lower sliding surfaces, in spherical coordinates, contains the inclination angle β, which accounts for non-horizontal positions of the shell.
Subject
Surfaces, Coatings and Films,Surfaces and Interfaces,Mechanical Engineering,Mechanics of Materials
Reference3 articles.
1. Reynolds, O.
, 1886, “On the Theory of Lubrication and Its Application to Mr. Beauchamp Tower’s Experiments, Including an Experimental Determination of the Viscosity of Olive Oil,” Philos. Trans. R. Soc. London, 177, pp. 157–234.
2. Bird, R. B., Stewart, W. E., and Lightfoot, E. N., 2002, Transport Phenomena, 2nd Ed., Wiley, New York.
3. Goenka, P. K., and Booker, J. F., 1980, “Spherical Bearings: Static and Dynamic Analysis Via the Finite Element Method,” ASME J. Lubr. Technol., 102, pp. 308–319.
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