A mathematical model and numerical solution technique for a novel adjustable hydrodynamic bearing

Martin, J. K. (1999). A mathematical model and numerical solution technique for a novel adjustable hydrodynamic bearing. International Journal for Numerical Methods in Fluids, 30(7) pp. 845–864.

DOI: https://doi.org/10.1002/(sici)1097-0363(19990815)30:7%3C845::aid-fld867%3E3.0.co;2-o

URL: http://onlinelibrary.wiley.com/doi/10.1002/(SICI)1...

Abstract

An analysis model for a novel adjustable hydrodynamic fluid film bearing is described. The principles of hydrodynamic lubrication are outlined together with an expanded version of the governing pressure field equation as related to the novel bearing. Finite difference approximations are given for the pressure field equation and a temperature model, both related to the fluid film thickness. Relationships of viscosity with temperature and pressure are included. A finite element model and an iterative computational process are described, whereby full simultaneously converged field solutions for fluid film thickness, temperature, viscosity and pressure were obtained, together with oil film forces. The model and solution process were developed to apply to a variety of hydrodynamic bearings and an outline is given of its extensive use in the design and simulation of one version of the novel bearing. Observations are given on the operation, success rates and verifications of the computational process.

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