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Steady Prandtl-Batchelor flows past a circular cylinder
Journal article   Open access   Peer reviewed

Steady Prandtl-Batchelor flows past a circular cylinder

G.C. Hocking
ANZIAM Journal, Vol.48(02), pp.165-177
2006
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Abstract

The high Reynolds number flow past a circular cylinder with a trailing wake region is considered when the wake region is bounded and contains uniform vorticity. The formulation allows only for a single vortex pair trapped behind the cylinder, but calculates solutions over a range of values of vorticity. The separation point and length of the region are determined as outputs. It was found that using this numerical method there is an upper bound on the vorticity for which solutions can be calculated for a given arclength of the cavity. In some cases with shorter cavities, the limiting solutions coincide with the formation of a stagnation point in the outer flow at both separation from the cylinder and reattachment at the end of the cavity.

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Citation topics
7 Engineering & Materials Science
7.57 Modelling & Simulation
7.57.1077 Vortex-Induced Vibrations
Web Of Science research areas
Mathematics, Applied
ESI research areas
Mathematics
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