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Three-dimensional long-wave instability of unidirectional spatially periodic viscous flows

Published online by Cambridge University Press:  26 April 2006

Y. S. Khazan  and
A. A. Nepomnyashchy
Y. S. Khazan
Affiliation:
Department of Mathematics, Technion, 32000, Haifa, Israel
A. A. Nepomnyashchy
Affiliation:
Department of Mathematics, Technion, 32000, Haifa, Israel
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Abstract

The long-wave instability of unidirectional spatially periodic flows is investigated by means of asymptotic expansions. It is shown that the wavevector of the most dangerous disturbances is generally inclined to the direction of the basic stream. A new type of long-wave oscillatory instability is discovered, and a comparison with results of previous investigations is performed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 325 , 25 October 1996 , pp. 283 - 301
Copyright
© 1996 Cambridge University Press

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Footnotes

Also Centre Emile Borel, Institut Henri Poincare, 75231 Paris CEDEX 05, France.

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