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An inviscid model of two-dimensional vortex shedding

Published online by Cambridge University Press:  29 March 2006

R. R. Clements
R. R. Clements
Affiliation:
Engineering Department, Cambridge University
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Abstract

An inviscid model of two-dimensional vortex shedding behind a square-based section is developed. The model uses a discrete-vortex approximation for the free shear layers. The motion of the shear layers is computed from the velocities of the discrete vortices, which in turn are derived through a Schwartz-Christoffel transformation of the section. The flow round the body is impulsively started from rest and initially develops symmetrically. The introduction of a small asymmetric disturbance results in asymmetric interaction of the shear layers amplifying into steady vortex-shedding motion.

The model is shown to predict the form of vortex shedding, the Strouhal number and some other flow quantities to a good degree of agreement with experimental results.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 57 , Issue 2 , 6 February 1973 , pp. 321 - 336
Copyright
© 1973 Cambridge University Press

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