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FLOW PAST CYLINDRICAL OBSTACLES ON A BETA-PLANE

PAGE, MA; JOHNSON, ER; (1990) FLOW PAST CYLINDRICAL OBSTACLES ON A BETA-PLANE. J FLUID MECH , 221 349 - 382. 10.1017/S0022112090003597. Green open access

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Abstract

The flow past a cylindrical obstacle in an enclosed channel is examined when the entire configuration is rotating rapidly about an axis which is aligned with that of the obstacle. When viewed from a frame of reference which is rotating with the channel, Coriolis forces dominate and act to constrain the motion to be two-dimensional. The channel is considered to have depth varying linearly across its width, producing effects equivalent to the so-called-beta-plane approximation and permitting waves to travel away from the obstacle, both upstream and downstream. For the eastward flow considered in this paper, this leads to the formation of a lee-wavetrain downstream of the obstacle and, under some conditions, a region of retarded, or 'blocked', flow upstream of the obstacle. The flow regime studied is essentially inviscid, although one form of frictional effect on the flow, introduced through the Ekman layers, is included. The properties of this system are examined numerically and compared with the theoretical predictions from other studies, which are applicable in asymptotic limits of the parameters. In particular, the relevance of 'Long's model' solutions is considered.

Type: Article
Title: FLOW PAST CYLINDRICAL OBSTACLES ON A BETA-PLANE
Open access status: An open access version is available from UCL Discovery
DOI: 10.1017/S0022112090003597
Publisher version: http://dx.doi.org/10.1017/S0022112090003597
Language: English
Additional information: © 1990 Cambridge University Press
Keywords: LOW ROSSBY NUMBER, UPSTREAM INFLUENCE, CIRCULAR-CYLINDER, ROTATING FLUID, SEPARATION, TOPOGRAPHY
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/1325360
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