The stability of an expanding circular vortex layer

Author:

Abstract

The stability of a circular cylindrical vortex layer against small disturbances that do not bend the vortex lines is examined. A short-wave analysis of the equations governing the growth of disturbances for a thin vortex layer reveals the stabilizing influence of the vortex-layer thickness when the layer is undergoing stretching. Also, the onset of amplification of very short waves is found to be delayed. Certain experimental observations due to Crow & Barker (1977) are discussed in view of the results of the analysis.

Publisher

The Royal Society

Subject

Pharmacology (medical)

Reference5 articles.

1. Crow S. C. & B ark er S. J . 1977 J

2. L am b H . 1932 H ydrodynam ics. New Y o rk : D over.

3. M oore D. W . & G riffith-Jones R . 1974

4. M oore D. W . 1976 M athem atika 23 35.

5. Proc. Camb. p h il;Oliver F .;Soc.,1961

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