The Generalized Universal Reynolds Equation

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A theoretical development of a Generalized Universal Reynolds Equation (GURE) has been achieved. GURE is a spherical geometry, variable property, two- dimensional pressure domain equation that permits one fundamental model for all classes of self-acting bearings. GURE handles property variations in a two- dimensional pressure expression and in a three- dimensional energy expression. GURE does not require that the bearing model be unwrapped, and allows for true variation in properties across, as well as along, the fluid film thickness. This work the theoretical development and the numerical results. The analysis varies the bearing angle to study conical, journal, and flat plate thrust bearings. Thermal boundary conditions account for heat dissipation into the neighboring solids as well as mass transport throughout the bearing. GURE's solution couples additional models accounting for variable properties, dynamics, cavitation, and turbulence. With their introduction, GURE can handle homogeneous liquids or gasses, for prescribed geometries, eccentricity, misalignment, and rotational speed.