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Thermally-driven linear vortex

Published online by Cambridge University Press:  29 March 2006

S. Blumsack  and
A. Barcilon
S. Blumsack
Affiliation:
Department of Mathematics, Department of Meteorology and Geophysical Fluid Dynamics Institute, Florida State University, Tallahassee, Florida
A. Barcilon
Affiliation:
Department of Mathematics, Department of Meteorology and Geophysical Fluid Dynamics Institute, Florida State University, Tallahassee, Florida
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Abstract

We investigate steady axially symmetric small Rossby number flows in which the driving consists of prescribed axial heat sources. By letting the velocity be proportional to the shear at the bottom surface we study the effects of that boundary condition on the resulting flows.

A multi-boundary-layer structure is found in the core, surrounding the heat sources. That structure depends on the relative magnitudes of the aspect ratio, stratification parameter and Ekman number.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 48 , Issue 4 , 27 August 1971 , pp. 801 - 814
Copyright
© 1971 Cambridge University Press

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References

Abramowitz, M. & Stegun, I. A. 1964 Handbook of mathematical functions. Washington: Nat. Bureau of Standards.
Barcilon, V. & Pedlosky, J. 1967a Linear theory of rotating stratified fluid motion 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. 9, 609–621.Google Scholar
Greenspan, H. P. 1968 The Theory of Rotating Fluids. Cambridge University Press.
Pedlosky, J. 1968 An overlooked aspect of the wind-driven oceanic circulation J. Fluid Mech. 32, 809–821.Google Scholar
Stewartson, K. 1957 On almost rigid rotations J. Fluid Mech. 3, 17–26.Google Scholar
Taylor, G. I. 1915 Eddy motion in the atmosphere. Phil. Trans. Roy. Soc A 215, 1–26.Google Scholar
Veronis, G. 1967 Analogous behaviour of homogeneous rotating fluids and stratified non-rotating fluids Tellus, 19, 326–335.Google Scholar