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Flow past a circular cylinder on a β-plane

JOHNSON, ER; PAGE, MA; (1993) Flow past a circular cylinder on a β-plane. J FLUID MECH , 251 (JUN) 603 - 626. 10.1017/S0022112093003544. Green open access

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Abstract

This paper gives analytical and numerical solutions for both westward and eastward flows past obstacles on a beta-plane. The flows are considered in the quasi-geostrophic limit where nonlinearity and viscosity allow deviations from purely geostrophic flow. Asymptotic solutions for the layer structure in almost-inviscid flow are given for westward flow past both circular and more elongated cylindrical obstacles. Structures are given for all strengths of nonlinearity from purely linear flow through to strongly nonlinear flows where viscosity is negligible and potential vorticity conserved. These structures are supported by accurate numerical computations. Results on detraining nonlinear western boundary layers and corner regions in Page & Johnson (1991) are used to present the full structure for eastward flow past an obstacle with a bluff rear face, completing previous analysis in Page & Johnson (1990) of eastward flow past obstacles without rear stagnation points. Viscous separation is discussed and analytical structures proposed for separated flows. These lead to predictions for the size of separated regions that reproduce the behaviour observed in experiments and numerical computations on beta-plane flows.

Type: Article
Title: Flow past a circular cylinder on a β-plane
Open access status: An open access version is available from UCL Discovery
DOI: 10.1017/S0022112093003544
Publisher version: http://dx.doi.org/10.1017/S0022112093003544
Language: English
Additional information: © 1993 Cambridge University Press
Keywords: LOW-ROSSBY-NUMBER, ROTATING FLUID, SEPARATION
UCL classification: UCL
UCL > Provost and Vice Provost Offices
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/1325354
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