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Transition from laminar convection to thermal turbulence in a rotating fluid layer

Published online by Cambridge University Press:  28 March 2006

G. Küppers  and
D. Lortz
G. Küppers
Affiliation:
Institut für Plasmaphysik, Garching bei München
D. Lortz
Affiliation:
Institut für Plasmaphysik, Garching bei München
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Abstract

The convective flow in an infinite horizontal fluid layer rotating rigidly about a normal axis is investigated for the special case of infinite Prandtl number and free boundary conditions. For slightly supercritical Rayleigh numbers the solutions of the non-linear steady-state equations are derived approximately by an amplitude expansion. A stability calculation shows that no stable steady-state convective flow exists if the Taylor number exceeds the critical value 2285.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 35 , Issue 3 , 20 February 1969 , pp. 609 - 620
Copyright
© 1969 Cambridge University Press

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References

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