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The ‘Richardson’ criterion for compressible swirling flows

Published online by Cambridge University Press:  29 March 2006

Demetrius P. Lalas
Demetrius P. Lalas
Affiliation:
Department of Mechanical Engineering Sciences, Wayne State University, Detroit, Michigan 48202
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Abstract

The stability of a compressible non-dissipative swirling flow to adiabatic infinitesimal disturbances of arbitrary orientation is considered. The resulting sufficient condition for stability is the general form of the effective Richardson criterion for swirling flows, first obtained, for axisymmetric modes only, by Howard. In addition, upper bounds to the growth rate of unstable modes are obtained and some extensions of the semicircle theorem to azimuthal disturbances are stated.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 69 , Issue 1 , 13 May 1975 , pp. 65 - 72
Copyright
© 1975 Cambridge University Press

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References

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