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Note on the paper of Kochar & Jain on Howard's semicircle theorem

Published online by Cambridge University Press:  20 April 2006

Yu. N. Makov  and
Yu. A. Stepanyants
Yu. N. Makov
Affiliation:
Institute of Applied Physics, Academy of Sciences of the USSR, Gorky, USSR
Yu. A. Stepanyants
Affiliation:
Institute of Applied Physics, Academy of Sciences of the USSR, Gorky, USSR
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Abstract

A further refinement of the Howard-Kochar-Jain theorem is given which allows the estimation of the range of complex wave velocity for growing perturbations in a stratified shear flow. According to the results obtained, the boundary of this region depends both on the minimum Richardson number and on the wavenumber of the perturbations. The effect of external boundaries on the stability of parallel flows is defined. An estimate of the maximum rate of growth versus dimensionless wave-number is found. The theoretical results are compared with numerical computations and laboratory experiments of other authors.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 140 , March 1984 , pp. 1 - 10
Copyright
© 1984 Cambridge University Press

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References

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