See sketch of the problem

References:

1. Blackburn H.M. and Lopez J.M. 2000. Symmetry breaking of the flow in a cylinder driven by a rotating endwall. Phys. Fluids, 12, 2698-2701.

2. Marques F. and Lopez J.M. 2001. Precessing vortex breakdown mode in an enclosed cylinder flow. Phys. Fluids, 13, 1679-1682.

3. Marques F., Lopez J.M. and Shen J. 2002. Mode interactions in an enclosed swirling flow: a double Hopf bifurcation between azimuthal wavenumbers 0 and 2. J. Fluid Mech., 455, 263-281.

4. Nore C., Tuckerman L.S., Daube O. and Xin S. 2003. The 1:2 mode interaction in exactly counter-rotating von Karman swirling flow. J. Fluid Mech., 477, 51-88.

5. Rubinov A. 2003. Private communication.