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On the behaviour of small disturbances in plane Couette flow. Part 3. The phenomenon of mode-pairing

Published online by Cambridge University Press:  29 March 2006

A. P. Gallagher
A. P. Gallagher
Affiliation:
Department of Engineering Mathematics, The Queen's University of Belfast
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Abstract

In two earlier papers (Gallagher & Mercer 1962, 1964) the results for the first four eigenvalues of the problem of the stability of plane Couette flow were given. The first twelve eigenvalues have been calculated by the same method and the results show that the manner in which the eigenvalues join to form complex pairs depends on α, the wavenumber of the disturbance. They also would appear to indicate that mode-crossing always occurs.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 65 , Issue 1 , 12 August 1974 , pp. 29 - 32
Copyright
© 1974 Cambridge University Press

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References

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