Branching of NavierStokes equations in a spherical gap
Abstract
The branching of NavierStokes equations in the gap between two concentric spheres, of which the inner one rotates and the outer one is stationary, is investigated by using the continuation method proposed by Keller (1977) to solve the unsteady NavierStokes equations. It is shown that for the ratio of radii of 0.85, the branches of the flow modes with Taylor vortices do not bifurcate from the basic branch, as is true for flows in cylindrical gaps. It is also shown that the transition from the basic to other modes can only be achieved by unsteadiness or asymmetry.
 Publication:

Numerical Methods in Fluid Dynamics
 Pub Date:
 1982
 DOI:
 10.1007/3540119485_61
 Bibcode:
 1982LNP...170..474S
 Keywords:

 Branching (Mathematics);
 Computational Fluid Dynamics;
 NavierStokes Equation;
 Incompressible Flow;
 Reynolds Number;
 Vortices;
 Fluid Mechanics and Heat Transfer