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Three-dimensional convection driven by centrifugal buoyancy

Published online by Cambridge University Press:  26 April 2006

M. Auer ,
F. H. Busse  and
R. M. Clever
M. Auer
Affiliation:
Institute of Physics, University of Bayreuth, D-95440 Bayreuth Institute of Geophysics and Planetary Physics, University of California, Los Angeles, CA 90024, USA
F. H. Busse
Affiliation:
Institute of Physics, University of Bayreuth, D-95440 Bayreuth Institute of Geophysics and Planetary Physics, University of California, Los Angeles, CA 90024, USA
R. M. Clever
Affiliation:
Institute of Physics, University of Bayreuth, D-95440 Bayreuth Institute of Geophysics and Planetary Physics, University of California, Los Angeles, CA 90024, USA
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Abstract

Convection driven by centrifugal buoyancy in a cylindrical fluid annulus cooled from the inside, heated from the outside, and rotating about its axis is described. While at high values of the dimensionless rotation parameter τ convection rolls aligned with the axis are preferred, three-dimensional patterns of convection are introduced at low values of τ through either the cross-roll instability or a subharmonic varicose instability. The instabilities are studied in terms of simple analytical relationships as well as through numerical methods based on the Galerkin scheme. Analytical expressions for the steady three-dimensional patterns induced by the instabilities are also derived.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 301 , 25 October 1995 , pp. 371 - 382
Copyright
© 1995 Cambridge University Press

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