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On the stability of rotating compressible and inviscid fluids

Published online by Cambridge University Press:  19 April 2006

Knut S. Eckhoff  and
Leiv Storesletten
Knut S. Eckhoff
Affiliation:
Department of Mathematics, Allégt. 53–55, 5014 Bergen-Universitetet, Norway
Leiv Storesletten
Affiliation:
Department of Mathematics, Agder Regional College, Boks 607, 4601 Kristiansand, Norway
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Abstract

Necessary conditions for linear stability of a rotating, compressible and inviscid fluid are found by the generalized progressing wave expansion method. The full three-dimensional problem involving an arbitrarily given rotational symmetric external force field is considered for an arbitrary steady shear flow with vanishing axial velocity. The results obtained are compared with previously known results.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 99 , Issue 2 , 25 July 1980 , pp. 433 - 448
Copyright
© 1980 Cambridge University Press

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