Approximate Solution of Navier-Stokes Equations for Viscous Flow of Floating-Ring Bearings

As well-known, the fluid flow in inner and outer layers of floating-ring bearings (FRB) can be considered as the flow of in the thin layer. In this paper, for the viscous flow of the oil film in the inner and outer layers of FRB, the approximate series solutions of the Navier-Stokes equations in tensor form are obtained by using lubrication theory for the flow in thin layers. The result reveals that the viscous fluid flow of the oil film in the inner and outer layers can be considered as the basic flow between the concentric rotating FRB with a high-order disturbance about eccentricity. Furthermore, the numerical examples are provided. Importantly, a new method is proposed for the design of FRB for the high-speed rotating machinery.