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Convection in a rotating cylindrical annulus. Part 2. Transitions to asymmetric and vacillating flow

Published online by Cambridge University Press:  21 April 2006

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

The instabilities of convection columns (also called thermal Rossby waves) in a cylindrical annulus rotating about its axis and heated from the outside are investigated as a function of the Prandtl number P and the Coriolis parameter η*. When this latter parameter is sufficiently large, it is found that the primary solution observed at the onset of convection becomes unstable when the Rayleigh number exceeds its critical value by a relatively small amount. Transitions occur to columnar convection which is non-symmetric with respect to the mid-plane of the small-gap annular layer. Further transitions introduce convection flows that vacillate in time or tend to split the row of columns into an inner and an outer row of separately propagating waves. Of special interest is the regime of non-symmetric convection, which exhibits decreasing Nusselt number with increasing Rayleigh number, and the indication of a period doubling sequence associated with vacillating convection.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 174 , January 1987 , pp. 313 - 326
Copyright
© 1987 Cambridge University Press

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References

Azouni, M. A., Bolton, E. W. & Busse, F. H. 1986 Convection driven by centrifugal buoyancy in a rotating 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. 1971 Stability regions of cellular fluid flow. In Instability of Continuous Systems (ed. H. Leipholz), pp. 41–47. Springer.
Busse, F. H. 1976 A simple model of convection in the Jovian atmosphere. Icarus 20, 255–260.Google Scholar
Busse, F. H. 1978 Nonlinear properties of convection. Rep. Prog. Phys. 41, 1929–1967.Google Scholar
Busse, F. H. 1982 Thermal convection in rotating systems. In Proc. 9th US Natl Congr. of Appl. Mech., ASME, New York, pp. 299–305.
Busse, F. H. 1983 A model of mean zonal flow in the major planets. Geophys. Astrophys. Fluid Dyn. 23, 153–174.Google Scholar
Busse, F. H. & Or, A. C. 1986 Convection in a rotating cylindrical annulus: thermal Rossby waves. J. Fluid Mech. 166, 173–187.Google Scholar
Busse, F. H. & Carrigan, C. R. 1974 Convection induced by centrifugal buoyancy. J. Fluid Mech. 62, 579–592.Google Scholar
Hatzes, A., Wenkert, D. D., Ingersoll, A. P. & Danielson, G. E. 1981 Oscillations and velocity structure of long-lived cyclonic spot. J. Geophys. Res. 86, 8745–8749.Google Scholar