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.;Previous versions of generalized Reynolds equations made assumptions that are no longer a necessity. In contrast to these previous equations, 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. The focus of this dissertation is to present a numerical package offering solutions for pressure and temperature while placing minimal restrictions on the analysis.;This dissertation contains the theoretical development and the numerical results of GURE. 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.;In summary, by developing the numerical model for GURE an open source code has been obtained for three classes of self-acting bearings (journal, conical, and thrust bearings), while accounting for variable properties, turbulence, and cavitation. Such a source code offers an effective means of clearly expressing physical phenomena within all self-acting bearings. This dissertation begins with a review of previous authors' assumptions and equations, expressing the theoretical benefits of GURE and then concludes with a display of physical insight and declarative statements relating to the self-acting bearings design criteria.
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