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On the structure of instability bursts in three-dimensional parallel flow

Part of: Hydrodynamic stability

Published online by Cambridge University Press:  26 February 2010

L. M. Hocking
L. M. Hocking
Affiliation:
University College, London
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Extract

The equations governing the evolution of the modulated amplitude of a pointcentred disturbance to a slightly supercritical flow are shown to have solutions which become infinite at a finite time and at a single point. The amplitude develops a sharp peak and the structure of this peak is found, for real and complex coefficients in the governing equations. Such a solution can only occur if the coefficients satisfy certain conditions

MSC classification

Secondary: 76E05: Parallel shear flows
Type
Research Article
Information
Mathematika , Volume 21 , Issue 1 , June 1974 , pp. 134 - 146
Copyright
Copyright © University College London 1974

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References

Davey, A., Hocking, L. M. and Stewartson, K., J. Fluid Mech., 63 (1974), 529–536.CrossRefGoogle Scholar
Hocking, L. M. and Stewartson, K., Mathematika, 18 (1971), 219–239.CrossRefGoogle Scholar
Hocking, L. M. and Stewartson, K., Proc. Roy. Soc. A, 326 (1972), 289–313.Google Scholar
Hocking, L. M., Stewartson, K. and Stuart, J. T., J. Fluid Mech., 51 (1971), 705–735.Google Scholar
Stewartson, K. and Stuart, J. T.,. J. Fluid Mech., 48 (1971), 529–545.Google Scholar