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On nonlinear overstable convection rolls in a rotating system

Published online by Cambridge University Press:  17 February 2009

N. Riahi
N. Riahi
Affiliation:
Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, U.S.A.
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Abstract

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Finite amplitude oscillatory convection rolls in the form of travelling waves are studied for a horizontal layer of a low Prandtl number fluid heated from below and rotating rapidly about a vertical axis. The results of the stability and nonlinear analyses indicate that there is no subcritical instability and that the oscillatory rolls are unstable for the ranges of the Prandtl number and the rotation rate considered in this paper.

Type
Research Article
Information
The ANZIAM Journal , Volume 25 , Issue 3 , January 1984 , pp. 406 - 418
Copyright
Copyright © Australian Mathematical Society 1984

References

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