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Vortex motion in doubly connected domains

Published online by Cambridge University Press:  10 October 2008

L. ZANNETTI ,
F. GALLIZIO  and
G. M. OTTINO
L. ZANNETTI
Affiliation:
DIASP, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
F. GALLIZIO
Affiliation:
DIASP, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
G. M. OTTINO
Affiliation:
DIASP, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
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Abstract

The unsteady two-dimensional rotational flow past doubly connected domains is analytically addressed. By concentrating the vorticity in point vortices, the flow is modelled as a potential flow with point singularities. The dependence of the complex potential on time is defined according to the Kelvin theorem. The general case of non-null circulations around the solid bodies is discussed. Vortex shedding and time evolution of the circulation past a two-element airfoil and past a two-bladed Darrieus turbine are presented as physically coherent examples.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 612 , 10 October 2008 , pp. 143 - 152
Copyright
Copyright © Cambridge University Press 2008

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