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Shear layers in a rotating stratified fluid with bottom topography

Published online by Cambridge University Press:  29 March 2006

Yves J. F. Desaubies
Affiliation:
Institute of Geophysics and Planetary Physics, University of California, La, Jolla

Abstract

The structure of shear layers due to bottom topography in a rotating stratified fluid is obtained under the restriction σS [Lt ] E½, where σS = ναgΔT/KΩ2L is a measure of the stratification and E = ν/Ω2L is the Ekman number. The layers are found to be similar to the side-wall layers discussed by Barcilon & Pedlosky (19673) if σS [Gt ] E½ and are Stewartson layers if $\sigma S \ll E^{\frac{2}{3}}$. Some comments are made on the possibility of Taylor column formation in a stratified fluid.

Type
Research Article
Copyright
© 1973 Cambridge University Press

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References

Barcilon, V. & Pedlosky, J. 1967a Linear theory of rotating stratified fluid motions. J. Fluid Mech. 29, 116.Google Scholar
Barcilon, V. & Pedlosky, J. 1967b A unified theory of homogeneous and stratified rotating fluids. J. Fluid Mech. 29, 609621.Google Scholar
Barcilon, V. & Pedlosky, J. 1967c On the steady motions produced by a stable stratification in a rapidly rotating fluid. J. Fluid Mech. 29, 673690.Google Scholar
Blumsack, S. L. 1972 The transverse circulation near a coast. J. Phys. Oceanography, 2, 3440.Google Scholar
Davies, P. A. 1972 Experiments on Taylor columns in rotating stratified fluids. J. Fluid Mech. 54, 691717.Google Scholar
Greenspan, H. P. 1968 The Theory of Rotating Fluids. Cambridge University Press.
Jacobs, S. J. 1964 The Taylor column problem. J. Fluid Mech. 20, 581591.Google Scholar
Moore, D. W. & Saffman, P. G. 1969 The structure of free vertical shear layers in a rotating fluid and the motion produced by a slowly rising body. Phil. Trans. Roy. Soc. A 264, 597.Google Scholar
Pedlosky, J. 1971 A note on the role of the buoyancy layer in a rotating stratified fluid. J. Fluid Mech. 48, 181.Google Scholar
Stewartson, K. 1957 On almost rigid rotations. J. Fluid Mech. 3, 1726.Google Scholar
Van Dyke, M. 1964 Perturbation Methods in Fluid Mechanics. Academic.