Taylor columns in horizontally sheared flow
作者:
E.R. Johnson,
期刊:
Geophysical & Astrophysical Fluid Dynamics
(Taylor Available online 1983)
卷期:
Volume 24,
issue 2
页码: 143-164
ISSN:0309-1929
年代: 1983
DOI:10.1080/03091928308209063
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Solutions of the steady, inviscid, non-linear equations for the conservation of potential vorticity are presented for linearly sheared geostrophic flow over a right circular cylinder. The indeterminancy introduced by the presence of closed streamline regions is removed by requiring that the steady flow retains above topography a given fraction of that fluid initially present there, assuming the flow to have been started from rest. Those solutions which retain the largest fraction in uniform and negatively sheared streams satisfy the Ingersoll (1969) criterion (that, in the limit of vanishingly small viscosity, closed streamline regions are stagnant) and so are unaffected by Ekman pumping. These flows are set up on the advection time scale. In positively sheared flows the maximum retention solutions do not satisfy the Ingersoll criterion and thus would be slowly spun down on the far longer viscous spin-up time.
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