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The stability of an expanding circular vortex sheet

Part of: Hydrodynamic stability

Published online by Cambridge University Press:  26 February 2010

D. W. Moore  and
R. Griffith-Jones
D. W. Moore
Affiliation:
Imperial College, London.
R. Griffith-Jones
Affiliation:
Trinity College, Cambridge.
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Abstract

The stability against small disturbances which do not bend the vortex lines of a circular cylindrical vortex sheet of variable radius is examined. If the jump in tangential velocity across the sheet falls off with time faster than (time)–íthe disturbances are bounded (or grow less rapidly than linearly with time) so that the sheet is effectively stable. If the tangential velocity jump falls off with time slower than (time)–í the sheet is unstable.

MSC classification

Secondary: 76E99: None of the above, but in this section
Type
Research Article
Information
Mathematika , Volume 21 , Issue 1 , June 1974 , pp. 128 - 133
Copyright
Copyright © University College London 1974

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References

Brown, G. L. and Roshko, A.. To appear.Google Scholar
Maskell, E. C.. Proc. 3rd congress of Int. Council of Aero Sciences. Washington D.C. (Spartan Books, 1964).Google Scholar
Olver, F. W. J., Proc. Camb. Phil. Soc, 57 (1961), 790.CrossRefGoogle Scholar
Pierce, D., Journal Fluid Mech., 11 (1961), 460.CrossRefGoogle Scholar