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On the steady motions produced by a stable stratification in a rapidly rotating fluid

Published online by Cambridge University Press:  28 March 2006

V. Barcilon  and
J. Pedlosky
V. Barcilon
Affiliation:
Department of Mathematics, M.I.T.
J. Pedlosky
Affiliation:
Department of Mathematics, M.I.T.
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Abstract

The equilibrium state of a rapidly rotating fluid, heated uniformly from above and cooled uniformly from below while contained in a cylinder with insulated side-walls is studied.

The circulations which are produced by the resulting stratification are studied over a wide range of parameters and it is shown that many of the features of the linear theory of rotating stratified fluid flows found in earlier studies reappear in this non-linear problem.

These include the gradual disappearance of Ekman layer suction and O(1) Ekman layers as the stratification increases, and the determination of the interior flow by the side-wall boundary layers in conjunction with the Ekman layers.

It is suggested therefore, that studies of rotating stratified flows which are unbounded laterally may frequently be defective and lead to solutions which are not the limit of any physically realizable experiment.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 29 , Issue 4 , 27 September 1967 , pp. 673 - 690
Copyright
© 1967 Cambridge University Press

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References

Barcilon, V. & Pedlosky, J. 1967a Linear theory of rotating stratified fluid motions J. Fluid Mech. 29, 1–16.Google Scholar
Barcilon, V. & Pedlosky, J. 1967b A unified linear theory of homogeneous and stratified rotating fluids. J. Fluid Mech. (in the Press).Google Scholar
Duncan, L. 1966 Axisymmetric convection between two rotating disks J. Fluid Mech. 24, 417–449.Google Scholar
Greenspan, H. P. 1967 Theory of Rotating Fluids. Cambridge University Press (in the Press).
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