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The Quarterly Journal of Mechanics and Applied Mathematics 1982 35(4):509-530; doi:10.1093/qjmam/35.4.509
© 1982 by Oxford University Press
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SLOW ROTATING STRATIFIED FLOW PAST OBSTACLES OF LARGE HEIGHT

M. R. FOSTER

( The Ohio State University Columbus, Ohio 43210 )

We consider a rotating, stratified flow past an obstacle that is very much larger in vertical extent than the Ekman-layer thickness. The flow must be slow in the sense that the Rossby number, Ro, is no larger than E5/6, where E is the Ekman number. The particular parameter range of this analysis corresponds to a situation in which vertical velocities due to Ekman pumping lift the isopycnics at just the right rate to generate vorticity of the proper magnitude to cause that Ekman pumping. In terms of conventional dimensionless parameters, this parameter range is given by the Froude number of the order of Ro˝EĽ. We find that as the relative size of the stratification increases, the symmetry of the homogeneous rotating flow gives way to an upstream eddy and finally a fully-blocked flow.


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