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Steady Prandtl-Batchelor flows past a circular cylinder

Published online by Cambridge University Press:  17 February 2009

G. C. Hocking
G. C. Hocking
Affiliation:
Mathematics & Statistics, Murdoch University, Murdoch, WA 6150, Australia; e-mail: G.Hocking@murdoch.edu.au.
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Abstract

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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.

Keywords

Prandtl-Batchelor vortextrailing vorticeswakesfree-streamline theoryintegral equations.
Type
Research Article
Information
The ANZIAM Journal , Volume 48 , Issue 2 , October 2006 , pp. 165 - 177
Copyright
Copyright © Australian Mathematical Society 2006

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