Flow between two rotating concentric spheres
Abstract
The vortex flow field formed at large Reynolds numbers between two rotating concentric spheres can be calculated using finite difference approximations of the NavierStokes equations. It is found, however, that the number of vortices calculated changes with the spatial resolution. This is explained by the appearance of one or more extrema of the dependent flow variables in the meridional direction. The spatialresolution problem can be overcome if an accuracy condition is introduced which can be derived from the periodicity of the solution and the ratio of the radii of the spheres. Since the solution is time dependent, the time step must be restricted.
 Publication:

Luft und Raumfahrt
 Pub Date:
 1977
 Bibcode:
 1977LR...........7B
 Keywords:

 Flow Distribution;
 Rotating Bodies;
 Spheres;
 Vortices;
 Concentricity;
 Finite Difference Theory;
 NavierStokes Equation;
 Fluid Mechanics and Heat Transfer