Publicado 4 números por año
ISSN Imprimir: 1065-3090
ISSN En Línea: 1940-4336
Indexed in
SHEAR-LAYER INSTABILITY IN A ROTATING SYSTEM
SINOPSIS
The shear-layer instability in the flow over a rotating disk with a free surface is investigated experimentally by flow visualizations for a large range of the flow control parameters: the aspect ratio G of the cavity, the rotationnal Reynolds number Re, and the radius ratio s between the inner and outer radii of the rotating disk. This instability develops along the cylindrical shroud as sharp-corner polygonal patterns characterized by the number of vortices m. This number m can be scaled by considering an Ekman number based on the water depth, which confirms that the shroud boundary layer is of Stewartson type. The appearance threshold of the first polygonal mode is constant by considering the mixed Reynolds number introduced by Niino and Misawa [1] based on both the water depth at rest and the rotating disk radius. For large values of s, the instability patterns appear along the hub as small stationary cells.
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Poncet Sébastien, The stability of a thin water layer over a rotating disk revisited, The European Physical Journal Plus, 129, 8, 2014. Crossref
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Kahouadji L., Witkowski L. Martin, Free surface due to a flow driven by a rotating disk inside a vertical cylindrical tank: Axisymmetric configuration, Physics of Fluids, 26, 7, 2014. Crossref
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Sohn Sung-Ik, Stability and capillary dynamics of circular vortex sheets, Theoretical and Computational Fluid Dynamics, 29, 4, 2015. Crossref
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Wang Yanxing, Yang Vigor, Central recirculation zones and instability waves in internal swirling flows with an annular entry, Physics of Fluids, 30, 1, 2018. Crossref
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Yang Wen, Delbende Ivan, Fraigneau Yann, Martin Witkowski Laurent, Axisymmetric rotating flow with free surface in a cylindrical tank, Journal of Fluid Mechanics, 861, 2019. Crossref
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Reutov V. P., Rybushkina G. V., Unsteady Chains of Wave Structures and Anomalous Transport of Passive Admixture in a Barotropic Jet Flow, Izvestiya, Atmospheric and Oceanic Physics, 55, 6, 2019. Crossref
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Yang Wen, Delbende Ivan, Fraigneau Yann, Martin Witkowski Laurent, Large axisymmetric surface deformation and dewetting in the flow above a rotating disk in a cylindrical tank: Spin-up and permanent regimes, Physical Review Fluids, 5, 4, 2020. Crossref
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Faugaret Antoine, Duguet Yohann, Fraigneau Yann, Martin Witkowski Laurent, Influence of interface pollution on the linear stability of a rotating flow, Journal of Fluid Mechanics, 900, 2020. Crossref
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Rashkovan A., Amar S.D., Bieder U., Ziskind G., Analysis of Polygonal Vortex Flows in a Cylinder with a Rotating Bottom, Applied Sciences, 11, 3, 2021. Crossref
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Faugaret Antoine, Duguet Yohann, Fraigneau Yann, Martin Witkowski Laurent, A simple model for arbitrary pollution effects on rotating free-surface flows, Journal of Fluid Mechanics, 935, 2022. Crossref