MODIFIED REYNOLDS EQUATION FOR AEROSTATIC POROUS RADIAL BEARINGS WITH QUADRATIC FORCHHEIMER PRESSURE-FLOW ASSUMPTION

摘要

The mathematical modeling of aerostatic porous bearings, -represented by the Reynolds equation, depends on the assumptions for the flow in the porous medium. One proposes a modified Reynolds equation based on the quadratic Forchheimer assumption, which can be used for both linear and quadratic conditions. Numerical results are compared to those obtained with the linear Darcy model. It is shown that, the non-dimensional parameter Φ, related to non-linear effects, strongly affects the bearing dynamic characteristics, but for values of Φ > 10, the results tend to those obtained with the linear model.