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Neutral eigensolutions of the stability equation for stratified shear flow

Published online by Cambridge University Press:  29 March 2006

S. A. Thorpe
S. A. Thorpe
Affiliation:
National Institute of Oceanography, Wormley, Godalming, Surrey
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Abstract

Many of the known analytic solutions of the equation for neutral disturbances to a stably stratified, inviscid, parallel shear flow are shown to belong to a wider family of solutions when a transformation to the hypergeometric differential equation is possible. Two particular cases in which the transformation can be made are examined in some detail and the solutions are expressed in a simple analytical form. A number of novel solutions are presented as examples.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 36 , Issue 4 , 19 May 1969 , pp. 673 - 683
Copyright
© 1969 Cambridge University Press

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