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Observations of the flow produced in a cylindrical container by a rotating endwall

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Abstract

Observations made using the laser-induced fluorescence technique are presented of the steady swirling flow produced in a closed cylindrical container completely full of fluid (a glycerine/water mixture for the experiments reported here) by rotating one endwall. The flow behaviour is determined by two parameters: the height-to-radius ratioH/R and a rotation Reynolds number ΩR 2/ν. In an earlier study, Vogel (1968) defined the stability limit in the (H/R, Ω R2/ν) plane within which a vortex breakdown bubble occurred on the axis of symmetry. The results of Vogel's investigation are confirmed and extended by the present work. In particular, it is found that asH/R is increased two further stability limits can be determined within which two and ultimately three breakdown bubbles occur in succession. It is also found that there is a Reynolds number boundary above which the flow is oscillatory and at even higher Reynolds number the flow becomes turbulent. Until well into the unsteady-flow domain, the flow shows negligible departure from axisymmetry.

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Escudier, M.P. Observations of the flow produced in a cylindrical container by a rotating endwall. Experiments in Fluids 2, 189–196 (1984). https://doi.org/10.1007/BF00571864

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