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Two-vortex equilibrium in the flow past a flat plate at incidence

Published online by Cambridge University Press:  14 August 2014

Luca Zannetti  and
Alexandre Gourjii
Luca Zannetti*
Affiliation:
DIMEAS, Politecnico di Torino, C.so Duca degli Abruzzi 24, 10129 Torino, Italy
Alexandre Gourjii
Affiliation:
National Technical University of Ukraine‘KPI’, 37 Pobedy av., 03056 Kiev, Ukraine
*
†Email address for correspondence: luca.zannetti@polito.it
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Abstract

The two-dimensional inviscid incompressible steady flow past an inclined flat plate is considered. A locus of asymmetric equilibrium configurations for vortex pairs is detected. It is shown that the flat geometry has peculiar properties compared to other geometries: (i) in order to satisfy the Kutta condition at both edges, which ensures flow regularity, the total circulation and the force acting on the plate must be zero; and (ii) the Kutta condition and the free vortex equilibrium conditions are not independent of each other. The non-existence of symmetric equilibrium configurations for an orthogonal plate is extended to more general asymmetric flows.

JFM classification

Vortex Flows: Vortex Flows Vortex Flows: Vortex instability Wakes/Jets: Wakes/Jets

Information

Type
Papers
Information
Journal of Fluid Mechanics , Volume 755 , 25 September 2014 , pp. 50 - 61
Copyright
© 2014 Cambridge University Press 

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