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Prandtl-Batchelor flow on a circular cylinder and on aerofoil sections

Published online by Cambridge University Press:  04 July 2016

G. Giannakidis*
Affiliation:
Department of AeronauticsImperial College of Science, Technology and MedicineLondon, UK

Abstract

Steady, inviscid, incompressible, two dimensional flows containing vortex patches bounded by vortex sheets are used to model finite separated regions on certain closed bodies as an approach to modelling separation bubbles. First of all the problem of a vortex patch on a circle is considered. Calculations were done for symmetric flows covering a wide range of values of the separation position, the strength of the vortex sheet and the circulation at infinity and for non-symmetric flows at various angles of incidence. Smooth separation was detected in some cases. This model is used as an intermediate step for the calculation of the flow around an ellipse and a Joukowski aerofoil with the use of the Joukowski transformation.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 1996 

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