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Convection induced by centrifugal buoyancy

Published online by Cambridge University Press:  29 March 2006

F. H. Busse
Affiliation:
Department of Planetary and Space Science, University of California, Los Angeles
C. R. Carrigan
Affiliation:
Department of Planetary and Space Science, University of California, Los Angeles

Abstract

The onset of convection is observed in a cylindrical annulus which is heated from the outside, cooled from the inside and rotating about its vertical axis of symmetry. The dynamical constraint exerted by the dominating Coriolis force inhibits the instability when the top and bottom boundaries of the annulus are conical so as to make the vertical height vary with distance from the axis. The experimental observations are in good agreement with the theoretical predictions by Busse (1970a). This confirmation indicates the absence of subcritical finite amplitude instabilities and suggests that the annulus experiment provides a close dynamical model for convection in the liquid core of the earth.

Type
Research Article
Copyright
© 1974 Cambridge University Press

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References

Busse, F. H. 1970a J. Fluid Mech. 44, 441.
Busse, F. H. 1970b Astrophys. J. 159, 629.
Busse, F. H. 1970c Z. angew. Math. Mech. 50, T173.
Busse, F. H. 1972 J. Geophys. Res. 77, 1589.
Busse, F. H. 1973 Astron. Astrophys. 28, 27.
Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford University Press.
Greenspan, H. P. 1968 The Theory of Rotating Fluids. Cambridge University Press.
Joseph, D. D. & Munson, B. R. 1970 J. Fluid Mech. 43, 545.
Malkus, W. V. R. 1973 Geophys. Fluid Dyn. 4, 267.
Veronis, G. 1968 J. Fluid Mech. 31, 113.