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ORIGINAL PAPER
Pressure Distribution in a Squeeze Film Spherical Bearing with Rough Surfaces Lubricated by an Ellis Fluid
1
University of Zielona Góra, Faculty of Mechanical Engineering, ul. Szafrana 2, P.O.Box 47, 65-516 Zielona Góra, Poland
Online publication date: 2016-09-10
Publication date: 2016-08-01
International Journal of Applied Mechanics and Engineering 2016;21(3):593-610
KEYWORDS
ABSTRACT
In this paper, the solution to a problem of pressure distribution in a curvilinear squeeze film spherical bearing is considered. The equations of motion of an Ellis pseudo-plastic fluid are presented. Using Christensen’s stochastic model of rough surfaces, different forms of Reynolds equation for various types of surface roughness pattern are obtained. The analytical solutions of these equations for the cases of externally pressurized bearing and squeeze film bearing are presented. Analytical solutions for the film pressure are found for the longitudinal and circumferential roughness patterns. As a result the formulae expressing pressure distribution in the clearance of bearing lubricated by an Ellis fluid was obtained. The numerical considerations for a spherical bearing are given in detail.
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