Centrifugal inertia effects of the fluid flow between stepped spherical surfaces
Abstract
Assuming that the sphere rotated around its pole axis, the fluid was incompressible and viscous, and the flow between the sphere and stepped spherical surface was axially symmetrical, steady, and laminar, the centrifugal inertia effect of the fluid flow was studied. By generalizing and using the Sommerfeld transformation, the analytical solution of the problem was obtained. Then, the expressions of pressure distribution and flow rate were derived and some calculated results were given. It is shown that the change of the pressure distributions does exist when the inertia effects are taken into account or not. In addition, the paper presents a theoretical basis for exact design of the spherical hydrostatic thrust bearing.
 Publication:

Applied Mathematics Mechanics English Edition
 Pub Date:
 February 1994
 Bibcode:
 1994ApMaM..15..175L
 Keywords:

 Axisymmetric Flow;
 Centrifugal Force;
 Flow Velocity;
 Hydrodynamics;
 Lubrication;
 Pressure Distribution;
 Thrust Bearings;
 Viscous Flow;
 Incompressible Flow;
 Laminar Flow;
 Spheres;
 Steady Flow;
 Fluid Mechanics and Heat Transfer