Streamline topology of steady axisymmetric vortex breakdown in a cylinder with co- and counter-rotating end-covers

Morten Brøns, Lars Peter Kølgaard Voigt, Jens Nørkær Sørensen

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    Using a combination of bifurcation theory for two-dimensional dynamical systems and numerical simulations, we systematically determine the possible flow topologies of the steady vortex breakdown in axisymmetric flow in a cylindrical container with rotating end-covers. For fixed values of the ratio of the angular velocities of the covers in the range from -0.02 to 0.05, bifurcations of recirculating bubbles under variation of the aspect ratio of the cylinder and the Reynolds number are found. Bifurcation curves are determined by a simple fitting procedure of the data from the simulations. For the much studied case of zero rotation ratio tone fixed cover) a complete bifurcation diagram is constructed. Very good agreement with experimental results is obtained, and hitherto unresolved details are determined in the parameter region where up to three bubbles exist. For non-zero rotation ratios the bifurcation diagrams are found to change dramatically and give rise to other types of bifurcations.
    Original languageEnglish
    JournalJournal of Fluid Mechanics
    Volume401
    Pages (from-to)275-292
    ISSN0022-1120
    DOIs
    Publication statusPublished - 1999

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