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On the linear stability of inviscid incompressible plane parallel flow

Published online by Cambridge University Press:  26 April 2006

E. M. Barston
E. M. Barston
Affiliation:
Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, Chicago, IL 60680, USA
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Abstract

A class of constants of motion is obtained for the time-dependent form of the Rayleigh stability equation, which provides stability criteria for velocity profiles with multiple inflexion points.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 233 , December 1991 , pp. 157 - 163
Copyright
© 1991 Cambridge University Press

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References

Barston, E. M. 1977 Intl J. Engng Sci. 15, 71.
Craik, A. D. D. 1972 J. Fluid Mech. 53, 657.
Drazin, P. G. & Howard, L. N. 1966 Adv. Appl. Mech. 9, 1.
Drazin, P. G. & Reid, W. H. 1981 Hydrodynamic Stability. Cambridge University Press.