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Hollow wakes past arbitrarily shaped obstacles

Published online by Cambridge University Press:  01 February 2011

H. TELIB  and
L. ZANNETTI
H. TELIB
Affiliation:
DIASP, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Turin, Italy
L. ZANNETTI*
Affiliation:
DIASP, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Turin, Italy
*
†Email address for correspondence: [email protected]
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Abstract

An analytical solution is presented for steady inviscid separated flows modelled by hollow vortices, that is, by closed vortex sheets bounding a region with fluid at rest. Steady flows past arbitrary obstacles protruding from an infinite wall are considered. The solution is similar to that of the vortex patch model; it depends on two free parameters that define the size of the hollow vortex and the location of the separation point. When a sharp edge constrains the separation point (Kutta condition), the solution depends on a single parameter. As with the vortex patch model, families of growing vortices exist, which represent the continuation of desingularized point vortices. Numerical results are presented for the flows past a semicircular bump, a Ringleb snow cornice and a normal flat plate. The differences from the previous results found in the literature are analysed and discussed with the present solutions for the flow past a normal flat plate.

JFM classification

Wakes/Jets: Separated flows Vortex Flows: Vortex dynamics Wakes/Jets: Wakes
Type
Papers
Information
Journal of Fluid Mechanics , Volume 669 , 25 February 2011 , pp. 214 - 224
Copyright
Copyright © Cambridge University Press 2011

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References

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