Hydrodynamic calculation of two-layer porous bearing of infinite length with account for permeability anisotropy of porous layer and inertia forces

The asymptotic solution to a problem of the hydrodynamic calculation of the radial two-layer porous bearing of infinite length with account for the permeability anisotropy of porous layers is presented. The solution is based on full nonlinear Navier — Stokes equations and Darcy's equation. The case when the porous layer permeability changes continuously in the radial direction, and then — the case when axes change both in radial and in circumferential directions are considered. As a result, a velocity and pressure field in the lubricant and porous layers is found. Analytical expressions for the main performance data of the bearing are obtained. The effect of nonlinear factors and anisotropy on the bearing basic performance is assessed. The conditions under which a radial non-uniform two-layer bearing according to the carrying capacity offers the double action property are determined. The most rational values of the design, operating, and other functional data defining the bearing operability are established.