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Convection in a rotating cylindrical annulus: thermal Rossby waves

Published online by Cambridge University Press:  21 April 2006

F. H. Busse  and
A. C. Or
F. H. Busse
Affiliation:
Department of Earth and Space Sciences and Institute of Geophysics and Planetary Physics, University of California, Los Angeles, USA.
A. C. Or
Affiliation:
Department of Earth and Space Sciences and Institute of Geophysics and Planetary Physics, University of California, Los Angeles, USA.
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Abstract

The nonlinear equations describing convection in the form of thermal Rossby waves in a rotating annulus are solved both by an analytical perturbation theory and by a numerical method. It is shown that even in the absence of curvature of the surfaces bounding the fluid annulus in the axial direction a mean flow is generated by Reynolds stresses. The good agreement between analytical expressions and numerical results indicates that the former are valid over a larger domain of the parameter space than may be expected on the basis of the analysis of convection rolls in a non-rotating layer. This is caused in part by the reduced release of potential energy accompanying the reduced convective heat transport owing to the drift of the convection columns. The effect of curvature causes the replacement of the basic mode of convection by a different mode characterized by a double roll structure. The associated zonal mean flow is typically stronger than in the case without curvature.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 166 , May 1986 , pp. 173 - 187
Copyright
© 1986 Cambridge University Press

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References

Azouni, A., Bolton, E. W. & Busse, F. H. 1986 Experimental study of convection columns in a rotating cylindrical annulus. Geophys. Astrophys. Fluid Dyn. 34, 301–317.Google Scholar
Busse, F. H. 1970 Thermal instabilities in rapidly rotating systems. J. Fluid Mech. 44, 441–460.Google Scholar
Busse, F. H. 1982 Thermal convection in rotating systems. Proc. 9th U.S. National Congress of Appl. Mech. ASME, New York, N. Y. 1982, pp. 299–305.
Busse, F. H. 1983a A model of mean zonal flows in the major planets. Geophys. Astrophys. Fluid Dyn. 23, 153–174.Google Scholar
Busse, F. H. 1983b Convection-driven zonal flows in the major planets. PAGEOPH 121, 375–390.Google Scholar
Busse, F. H. & Carrigan, C. R. 1974 Convection induced by centrifugal buoyancy. J. Fluid Mech. 62, 579–592.Google Scholar
Busse, F. H. & Hood, L. L. 1982 Differential totation driven by convection in a rotating annulus. Geophys. Astrophys. Fluid Dyn. 21, 59–74.Google Scholar
Mitchell, J. L., Terrile, R. J., Smith, B. A., Muller, J.-P., Ingersoll, A. P., Hunt, G. E., Collins, S. A. & Beebe, R. F. 1979 Jovian cloud structure and velocity fields. Nature 280, 776–778.Google Scholar
Or, A. C., & Busse, F. H. 1986 Convection in a rotating cylindrical annulus. Part 2. Transitions to asymmetric and vacillating flow. Submitted to J. Fluid Mech.Google Scholar