Solutions of the NavierStokes equations for stationary flow in a spherical gap
Abstract
The NavierStokes equations were solved for stationary flow in a gap between two concentric spheres the inner of which rotates and the outer of which is at rest. Rotational and equatorial symmetric solutions for several radii ratios are calculated. Stationary and unsteady solutions which depend on the Reynolds number and the radii ratio are established. The method of Bartels and Krause, which considers the time dependence of the problem, makes it possible to obtain periodic and aperiodic solutions, but does not determine which solution is established.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 July 1983
 Bibcode:
 1983STIN...8422925S
 Keywords:

 NavierStokes Equation;
 Spherical Shells;
 Steady Flow;
 Computational Fluid Dynamics;
 Flow Stability;
 Reynolds Number;
 Rotating Spheres;
 Unsteady Flow;
 Vortices;
 Fluid Mechanics and Heat Transfer