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A linear analysis of rotating stratified flow past a circular cylinder on an f-plane

Published online by Cambridge University Press:  20 April 2006

Lee-Or Merkine
Lee-Or Merkine
Affiliation:
Department of Mathematics, Technion - Israel Institute of Technology, Haifa 32000, Israel
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Abstract

A linear analysis of rotating stratified flow past a circular cylinder on an f-plane is made for moderate and strong stratification, i.e. for σS = O(E½) and σS = O(1) respectively. E is the Ekman number and σS is the product of the Prandtl number and the inverse rotational Froude number. The most striking result is that, for oncoming flows that are of one sign and possess vertical shear, reversed-flow regions can exist next to the cylinder. Depending on the degree of stratification, these backflow regions can occupy the inner part of the vertical boundary layer or can extend horizontally across distances comparable to the horizontal scale of the cylinder.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 157 , August 1985 , pp. 501 - 518
Copyright
© 1985 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. 29, 609–621.Google Scholar
Boyer D. L.1970 Flow past a right circular cylinder in a rotating frame. Trans. ASME D: J. Basic Engng 92, 430–436.Google Scholar
Boyer, D. L. & Davies P. A.1982 Flow past a circular cylinder on a -plane. Phil. Trans. R. Soc. Lond. A 306, 533–556.
Boyer D. L., Davies, P. A. & Biolley F.1984 Linear stratified rotating flow past topography. Presented at the 10th Annual Meeting of the European Geophysical Society, Louvain-la-Neuve, Belgium, 30 July-3 August.
Brevdo, L. & Merkine L.1985 Boundary layer separation of a two-layer rotating flow on an f-plane. Proc. R. Soc. Lond. A (in press).Google Scholar
Greenspan H. P.1968 The Theory of Rotating Fluids. Cambridge University Press.
Merkine L.1980 Flow separation on a beta plane. J. Fluid Mech. 99, 399–409.Google Scholar
Merkine, L. & Solan A.1979 The separation of flow past a cylinder in a rotating system. J. Fluid Mech. 92, 381–392.Google Scholar
Walker, J. D. & Stewartson K.1972 The flow past a circular cylinder in a rotating frame. Z. angew Math. Phys. 23, 745–752.Google Scholar