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The critical state: a trapped wave model of vortex breakdown

Published online by Cambridge University Press:  29 March 2006

J. D. Randall  and
S. Leibovich
J. D. Randall
Affiliation:
Upson Hall, Corn011 University, Ithaca, N.Y. 14850
S. Leibovich
Affiliation:
Upson Hall, Corn011 University, Ithaca, N.Y. 14850
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Abstract

A model of vortex breakdown is presented and its predictions compared with the experiments of Sarpkaya (1971). The model is cntred about a theory of long, weakly nonlinear waves propagating on critical flows in tubes of variable cross-section. Although the weakly nonlinear theory must be extended beyond its domain of formal validity, many of the experimentally observed features of vortex breakdown are reproduced by the model. The description of the time evolution of the flow field that is presented requires numerical calculations that are not simple, but some important conclusions may be determined by easy computations. In particular, the axial position of a breakdown may be found from a very simple equation (10).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 58 , Issue 3 , 8 May 1973 , pp. 495 - 515
Copyright
© 1973 Cambridge University Press

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