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A cavitating aerofoil with a Prandtl-Batchelor eddy

Published online by Cambridge University Press:  04 July 2016

E. Zachariou ,
P. Wilmott  and
A. D. Fitt
E. Zachariou
Affiliation:
Mathematical InstituteOxford
P. Wilmott
Affiliation:
Mathematical InstituteOxford
A. D. Fitt
Affiliation:
Faculty of Mathematical Studies University of Southampton
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Abstract

A simple model is presented for an aerofoil with a recirculating Prandtl-Batchelor region behind a spoiler. Using thin aerofoil theory the model is posed as a pair of coupled nonlinear singular integrodifferential equations for the shape of the separating streamline and the distribution of vorticity along the aerofoil. These equations are solved numerically and results are presented. In particular, some conclusions are drawn regarding the lift on such aerofoils.

Type
Research Article
Information
The Aeronautical Journal , Volume 98 , Issue 975 , May 1994 , pp. 171 - 176
Copyright
Copyright © Royal Aeronautical Society 1994 

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References

1. Batchelor, G.K. On steady laminar flow with closed streamlines at large Reynolds number, J Fluid Mech, 1956, 1, pp 177–190 Google Scholar
2. Childress, S. Solutions of Euler's equations containing finite eddies, Phys Fluids, 1966, 9, pp 860–872 Google Scholar
3. O'Malley, K., Fitt, A.D., Jones, T.V., Ockendon, J.R. and Wilmott, P. Models of high-Reynolds-number flow down a step, J Fluid Mech, 1991, 222, pp 139–155.Google Scholar
4. Woods, L.C. The Theory of Subsonic Plane Flow, Cambridge University Press, 1961.Google Scholar
5. Ockendon, H. and Tayler, A.B. Inviscid Fluid Flow, Springer-Verlag, 1983.Google Scholar