Journal of Fluid Mechanics



The ‘Richardson’ criterion for compressible swirling flows


Demetrius P.  Lalas a1
a1 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.

(Published Online March 29 2006)
(Received May 2 1974)



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