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An oscillatory secondary bifurcation for magnetoconvection and rotating convection at small aspect ratio

Published online by Cambridge University Press:  24 September 2002

A. R. HALFORD  and
M. R. E. PROCTOR
A. R. HALFORD
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, UK
M. R. E. PROCTOR
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, UK
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Abstract

We consider the dynamics of convection in a strong vertical magnetic field, and in the presence of rapid rotation. In both these cases, in circumstances which can be realized in the laboratory, the onset of convection is in the form of tall thin cells. Because of this, the dynamics near onset is characterized by an interaction between the cellular modes and the horizontally averaged temperature profile. The effects on the dynamics are slight in the case of a Boussinesq fluid. However in both cases, when the layer is stratified (non-Boussinesq), the convection can lose stability to oscillations close to onset. Properties of the oscillations and their stability to long-wavelength modulation are extensively investigated.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 467 , 25 September 2002 , pp. 241 - 257
Copyright
© 2002 Cambridge University Press

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