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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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 157 , August 1985 , pp. 501 - 518
Copyright
© 1985 Cambridge University Press

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