Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-19T08:43:45.958Z Has data issue: false hasContentIssue false

Flow separation on a β-plane

Published online by Cambridge University Press:  19 April 2006

Lee-Or Merkine
Affiliation:
Department of Mathematics, Technion – Israel Institute of Technology, Haifa

Abstract

Boundary-layer structure of prograde and retrograde rotating flows past a cylinder on a β-plane is investigated. It is found that β inhibits boundary-layer separation for prograde flows but it exerts no influence on the boundary-layer structure for retrograde flows. The results agree with the few available experimental observations.

Type
Research Article
Copyright
© 1980 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Baines, P. G. & Davies, P. A. 1979 Laboratory studies of topographic effects in rotating and/or stratified fluids. In Orographic effects in planetary flows. GARP Publication.
Cebeci, T., Smith, A. M. O. & Wang, L. C. 1969 A finite-difference method for calculating compressible laminar and turbulent boundary layers. McDonnel Douglas Rep. DAC-67131.Google Scholar
Coutanceau, M. & Bouard, R. 1977 Experimental determination of the main features of the viscous flow in the wake of a circular cylinder in uniform translation. Part 1. Steady flow. J. Fluid Mech. 79, 231256.CrossRefGoogle Scholar
Frenzen, P. 1955 Westerly flow past an obstacle in a rotating hemispherical shell. Bull. Am. Met. Soc. 36, 204210.Google Scholar
Fultz, D. & Frenzen, P. 1955 A note on certain interesting ageostrophic motions in a rotating hemispherical shell. J. Met. 12, 332338.Google Scholar
Fultz, D. & Long, R. R. 1951 Two-dimensional flow around a circular barrier in a rotating spherical shell. Tellus 3, 6168.Google Scholar
Ingersoll, A. P. 1969 Inertial Taylor columns and Jupiter's Great Red Spot. J. Atmos. Sci. 26, 744752.Google Scholar
Long, R. R. 1952 The flow of a liquid past a barrier in a rotating spherical shell. J. Met. 9, 187199.Google Scholar
McCartney, M. S. 1975 Inertial Taylor columns on a beta plane. J. Fluid Mech. 68, 7195.Google Scholar
Merkine, L. & Solan, A. 1979 The separation of a flow past a cylinder in a rotating system. J. Fluid Mech. 92, 381392.Google Scholar
Miles, J. W. 1968 Lee waves in a stratified flow. Part 2. Semi-circular obstacle. J. Fluid Mech. 33, 803814.Google Scholar
Takamatsu, M. & Kita, T. 1978 Vortex shedding from Taylor columns. J. Phys. Soc. Japan 45, 17811782.Google Scholar
Vaziri, A. 1977 Topographic effects of rotating flows on a beta plane. Rec. Adv. Engng Sci. 8, 205213.Google Scholar
White, W. B. 1971 A Rossby wake due to an island in an eastward current. J. Phys. Oceanog. 1, 161168.Google Scholar