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Natural damped frequencies and axial response of a sloshing rotating finite viscous liquid layer in a cylindrical container

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Zusammenfassung

For a finite solidly rotating cylindrical liquid layer of thickness (a−b) in a tank the damped natural axisymmetric frequencies have been determined. The liquid was considered incompressible and viscous. The cases of freely slipping edges and that of anchored edges have been treated. It was found that instability appears in a purely aperiodic root for the spinning liquid bridge. This is in contrast to the instability appearing in the damped oscillatory natural frequency of a non-spinning liquid column at\(\frac{h}{a} \geqq 2\pi \). The spinning viscous liquid layer exhibits the same instability as the frictioneless liquid. It appears at\(\frac{h}{a} \geqq 2\pi /\sqrt {1 + We} \) for axisymmetric, oscillations.

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  1. vormals Universität der Bundeswehr München, Institut für Raumfahrttechnik, Neubiberg

    Helmut F. Bauer

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  1. Helmut F. Bauer
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Bauer, H.F. Natural damped frequencies and axial response of a sloshing rotating finite viscous liquid layer in a cylindrical container. Forsch Ing-Wes 60, 193–205 (1994). https://doi.org/10.1007/BF02628947

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  • DOI: https://doi.org/10.1007/BF02628947

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