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Exact solutions for uniform vortex layers attached to corners and wedges

Published online by Cambridge University Press:  03 May 2005

DARREN CROWDY
DARREN CROWDY
Affiliation:
Department of Mathematics, Imperial College of Science, Technology and Medicine, 180 Queen's Gate, London SW7 2AZ, UK email: d.crowdy@imperial.ac.uk
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Abstract

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A class of exact mathematical solutions describing distributed regions of uniform vorticity attached to two solid walls meeting at an angle $2\alpha$ is derived. Exterior to the uniform vorticity region the flow is quiescent and irrotational. The mathematical method used is a generalization of ideas original presented in Crowdy [4] combined with elements of conformal mapping theory associated with a differential equation method due to Polubarinova-Kochina traditionally applied in finding the solution to various free boundary problems.

Type
Papers
Information
European Journal of Applied Mathematics , Volume 15 , Issue 6 , December 2004 , pp. 643 - 650
Copyright
2004 Cambridge University Press