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The inertial damping and resonance of cellular convection in a rotating fluid annulus: steady linear theory

Published online by Cambridge University Press:  12 April 2006

P. G. Daniels
Affiliation:
Department of Mathematics, University College London Present address: Department of Mathematics, The City University, London.

Abstract

The phenomenon of steady cellular convection in a rotating fluid in which the stratification is statically unstable is well known. If the temperature field also varies in the horizontal direction a thermal wind is generated which can diminish the amplitude of the cells, or if inertial effects are strong enough, confine them to a narrow vertical band. On the other hand, in an enclosed container resonance can occur which increases the amplitude of the cells beyond the scope of a linear theory.

Type
Research Article
Copyright
© 1978 Cambridge University Press

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References

Abramowitz, M. & Stegun, I. A. 1964 Handbook of Mathematical Functions. Dover.
Baker, D. J. 1971 Science 172, 1029.
Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford: Clarendon Press.
Daniels, P. G. 1976 Geophys. Fluid Dyn. 7, 297.
Daniels, P. G. & Stewartson, K. 1977 Math. Proc. Camb. Phil. Soc. 81, 325.
Defant, A. 1961 Physical Oceanography, vol. I. Pergamon.
Drazin, P. G. 1975 Z. angew. Math. Phys. 26, 239.
Hide, R. & Mason, P. J. 1975 Adv. in Phys. 24, 47.
Homsy, G. M. & Hudson, J. L. 1971 J. Fluid Mech. 45, 353.
Mcintyre, M. E. 1970 Geophys. Fluid Dyn. 1, 19.
Rivas, E. K. De 1973 J. Atmos. Sci. 30, 763.
Segel, L. A. 1969 J. Fluid Mech. 38, 203.
Stone, P. H. 1966 J. Atmos. Sci. 23, 390.
Walton, I. C. 1975 J. Fluid Mech. 68, 757.