Implementation and Improvements of a Flow Continuity Algorithm in Modeling Ring/Liner Lubrication

Based upon a hydrodynamic lubrication model used in journal bearing simulation, a one-dimensional flow continuity algorithm was developed in modeling ring-liner lubrication. By applying a “universal” differential equation to the entire ring-liner interface, the starting and ending points of full film can be located automatically.

Considering the oil flow difference in the regions partially filled by oil between the ring/liner lubrication and bearing lubrication, the traditional assumption that the streams of oil and oil-vapor/air attach to both surfaces was relaxed in this model. Corresponding to this improvement, a transition region was introduced to smooth out the discontinuity of convection flow at the interface between a region fully filled by oil and a region partially filled by oil. Moreover, a distribution of standard pressure, which is crucial in formulating the universal differential equation, was proposed. Several examples are given to demonstrate the capabilities of this new model in dealing with difficult lubrication situations such as oil-reattachment and oil-squeezing dominant flows.