Topology of vortex Breakdown bubbles in a cylinder with rotating bottom and Free surface

Morten Brøns, Lars Peter Kølgaard Voigt, Jens Nørkær Sørensen

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

The flow patterns in the steady, viscous flow in a cylinder with a rotating bottom and a free surface are investigated by a combination of topological and numerical methods. Assuming the flow is axisymmetric, we derive a list of possible bifurcations of streamline structures on varying two parameters, the Reynolds number and the aspect ratio of the cylinder. Using this theory we systematically perform numerical simulations to obtain the bifurcation diagram. The stability limit for steady flow is found and established as a Hopf bifurcation. We compare with the experiments by Spohn, Mory & Hopfinger (1993) and find both similarities and differences.
Original languageEnglish
JournalJournal of Fluid Mechanics
Volume428
Pages (from-to)133-148
ISSN0022-1120
Publication statusPublished - 2001

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