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Studies in Lubrication. III. The Theory of the Thick Film Lubrication of a Complete Journal Bearing of Finite Length with Arbitrary Positions of the Lubricant Source

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2 Author(s)
Muskat, M. ; Gulf Research & Development Company, Pittsburgh, Pennsylvania ; Morgan, F.

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A successive approximation theory is developed for the thick film lubrication of complete journal bearings of finite length for arbitrary positions of the lubricant source. It has been carried through in detail up to the third approximation, which permits studies of systems having journal eccentricities up to the value of ½. The range of bearing length for which the theory is valid includes such as are of the order of, or greater than, half the bearing perimeter. Detailed calculations are reported on the inter‐relationships between the attitude of the line of centers of the journal and bearing, the journal eccentricity, the lubricant source strength, the ``Sommerfeld variable,'' (r2/c2)μN/P—where r=journal radius, c=radial clearance, μ=lubricant viscosity, N=journal speed and P=bearing load per unit projected bearing area—and the coefficient of friction, both for lubricant sources set at the crown and base of the bearing. Most of the numerical results refer to the case where the bearing length equals the bearing perimeter. In general it is found that when the lubricant source is at the crown or unloaded portion of the bearing, it tends to increase the journal eccentricities, oppose the journal supporting forces caused by the journal rotation, and increase the friction coefficients. When the source is set at the base, or loaded side, of the bearing, and has a strength less than the ``critical value,'' determined by the bearing length, it tends to decrease the journal eccentricities, to aid in supporting the load, and to decrease the friction coefficients on the journal. At the ``critical values'' of source strength the journal becomes concentric with the bearing and the lubricant source alone supports the load. For higher values of source strength the journal is raised above the center of the bearing so that the journal rotation detracts from the load‐carrying power of the film, and the f- riction coefficient on the journal begins to rise. Moreover, when the source is set at the base of the bearing, the friction coefficient curves for both the bearing and journal, when plotted against the Sommerfeld variable, all go through the origin in contrast to the infinitely long bearing theory where the coefficient of friction on the journal has a unit friction axis intercept. From the hydrodynamic point of view there are therefore no minima in the curves, or suggestions of thin film friction rises when the lubricant source is at the base of the bearing.

Published in:

Journal of Applied Physics  (Volume:10 ,  Issue: 1 )