The ‘Richardson’ criterion for compressible swirling flows-Reference-Cited by-同舟云学术

The ‘Richardson’ criterion for compressible swirling flows

Published:1975-05-13 Issue:1 Volume:69 Page:65-72
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Lalas Demetrius P.

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.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference10 articles.

1. Maslowe, S. A. 1974 Instability of rigidly rotating flows to non-axisymmetric disturbances J. Fluid Mech. 64,307–317.

2. Howard, L. N. 1961 Note on a paper of John W. Miles J. Fluid Mech. 10,509–512.

3. Howard, L. N. & Gupta, A. S. 1962 On the hydrodynamic and hydromagnetic stability of swirling flows J. Fluid Mech. 14,463–476.

4. Howard, L. N. 1973 On the stability of compressible swirling flow Studies in Appl. Math. 52,39–43.

5. Kurzweg, V. H. 1969 A criterion for the stability of heterogeneous swirling flows Z. angew. Math. Phys. 20,141–143.

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