Calculations of flows between rotating disks
Abstract
Similarity solutions of the NavierStokes equations for the steady viscous flow of an incompressible fluid between two rotating disks have been introduced by von Karman (1921) and Batchelor (1951). A part of very extensive calculations on this problem is presented. The obtained results are related to bifurcation, perturbed bifurcation, limit point curves, cusp behavior, and nonunique solutions. Finite difference methods are used along with pseudoarclength continuation methods to circumvent limit point difficulties and to find bifurcated branches. Attention is given to features of a standard linearized stability analysis.
 Publication:

In: Computing methods in applied sciences and engineering. (A8217551 0634) Amsterdam
 Pub Date:
 1980
 Bibcode:
 1980cmas.book...51K
 Keywords:

 Computational Fluid Dynamics;
 Finite Difference Theory;
 NavierStokes Equation;
 Rotating Disks;
 Rotating Fluids;
 Viscous Flow;
 Branching (Mathematics);
 Incompressible Fluids;
 Linearization;
 Numerical Stability;
 Similarity Theorem;
 Steady Flow;
 Fluid Mechanics and Heat Transfer