Early bifurcation in rotating fluid flow with free surface studied by axisymmetric numerical simulations

M. B. L. Santos, Jens Nørkær Sørensen

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    Abstract

    Simulations of a fluid rotating inside a partially open cylindrical cavity, performed by numerical solution of the unsteady axisymmetric Navier–Stokes equations, are presented. The configuration consists of a cylindrical vessel holding the fluid, which is entrained into motion by a rotating lid. This one is a coaxial disk in contact with the fluid surface but without covering it entirely. The study focuses on the occurrence of time-dependent flow, more specifically, the first transition to unsteadiness, by considering cavity cases with different amounts of free surface, for a fixed aspect ratio. By following the time evolution of a few arbitrarily chosen dynamical variables as a function of the Reynolds number, the location of this first Hopf bifurcation is obtained for a collection of cavity cases. Results show a rather strong influence of the free surface both on the onset of the unsteadiness and on the dynamical features of the flow. ©1996 American Institute of Physics.
    Original languageEnglish
    JournalPhysics of Fluids
    Volume8
    Issue number11
    Pages (from-to)3057-3062
    ISSN1070-6631
    DOIs
    Publication statusPublished - 1996

    Bibliographical note

    Copyright (1996) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

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