I am looking for published numerical results for the following problem :

A fully filled cylindrical cavity has a top lid (circular) which is rotating with a constant angular velocity. The recirculating, axisymmetric flow inside the cylinder soon attains Steady state (for low Re).

If anybody has come across a similar kind of problem in the literature, please let me know.

Thanks in advance.

- Abhijit

Here's a reference for a numerical simulation of that problem. I haven't read the paper, but attended a seminar Dr. Sotiropoulos gave on this subject. If I remember correctly he's interested in asymmetries in the flow at moderate to high Reynolds numbers.

F. Sotiropoulos and Y. Ventikos. Transition from bubble-type vortex breakdown to columnar vortex in a confined swirling flow. International Journal of Heat and Fluid Flow. v. 19 n. 5. 1998. p. 446-458.