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流动显示和图像处理期刊
SJR: 0.161 SNIP: 0.312 CiteScore™: 0.1

ISSN 打印: 1065-3090
ISSN 在线: 1940-4336

流动显示和图像处理期刊

DOI: 10.1615/JFlowVisImageProc.v14.i1.60
pages 85-105

SHEAR-LAYER INSTABILITY IN A ROTATING SYSTEM

Sebastien Poncet
Laboratoire M2P2, UMR CNRS 7340 Aix-Marseille Universite / CNRS 38, rue Frederic Joliot-Curie 13451 MARSEILLE Cedex 13
Marie-Pierre Chauve
Institut de Recherche sur les Phénomènes Hors Equilibre (IRPHE), UMR CNRS 6594, Technopôle Château Gombert, 49 rue F. Joliot-Curie, B.P.146, 13384 Marseille Cedex 13 − France

ABSTRACT

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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