Generalized Reynolds equation for fluid film problems with arbitrary boundary conditions: application to double-sided spiral groove thrust bearings

Abstract

Reliable high-performance bearings are essential in rotordynamics. As speeds and loads are continuously increased, the demands on bearing technology grow simultaneously. Detailed calculations of bearing characteristics become more important under these circumstances. In this work, a generalized Reynolds equation for analysing thin film lubrication problems is presented. The equation describes the flow of compressible fluids in arbitrary narrow gaps with general boundary conditions. As an application for this equation, we consider the double-sided spiral groove thrust bearing. A CFD calculation is performed to validate the generalized Reynolds equation derived here. On the basis of a particle swarm optimization method, optimal geometrical bearing parameters are identified. Performance charts for optimized bearing configurations with respect to load carrying capacity and friction coefficient are delivered.