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A linear model of the Antarctic circumpolar current

  • A. E. Gill (a1)


A simple frictional wind-driven model of the Antarctic circumpolar current is examined. The geometry includes what are thought to be the main features effecting the current, namely a gap corresponding to Drake Passage and a partial barrier corresponding to the South American peninsula. Solutions obtained by both numerical and analytical methods are presented. The analytic solution, valid for small values of a friction parameter, enables the total rate of transport of water by the current to be calculated as a function of the friction parameter and the wind stress distribution. The width which controls the rate of transport by the current tends to be the narrowest encountered rather than the average width as assumed in earlier zonal models. However, the current spreads out to several times this width due to frictional effects. The values of the eddy viscosity required to give a rate of transport of the observed order are about 103 cm2/s for a bottom-friction model and of the order of 108 cm2/s for a lateral friction model.



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Barcilon, V. 1966 J. mar. Res. 24, 269.
Barcilon, V. 1967 J. mar. Res. 25, 1.
Carslaw, H. S. & Jaeger, J. C. 1959 Conduction of Heat in Solids, (2nd Edition). Oxford.
Crease, J. 1964 Proc. R. Soc. A, 281, 14.
Defant, A. 1961 Physical Oceanography, 2 vols. Pergamon.
Duncan, I. B. 1966 J. Fluid Mech. 24, 417.
Eckhaus, W. & DE JAGER, E. M. 1966 Arch. rat. Mech. Anal. 23, 26.
Elder, J. W. 1968 To be published.
ERDÉLYI, A. (Ed.) 1953 Higher Transcendental Functions. McGraw-Hill.
Goldstein, S. 1938 Modern Developments in Fluid Dynamics. Oxford.
Gordon, A. L. 1967 Science, 156, 1732.
Kamenkovich, V. M. 1961 Dokl. Akad. Nauk. SSSR, 138, 1076.
Kamenkovich, V. M. 1962 Trudy Inst. Okeanol. 56, 241.
Kort, V. G. 1962 Scient. Am. 207, 113.
LONGUET-HIGGINS, M. S. 1965 Deep-Sea Res. 12, 923.
Mckee, W. D. 1966 Survey Paper 1, Horace Lamb Centre for Oceanographical Research, Flinders University of South Australia.
Stommel, H. 1948 Trans. Am. geophys. Un. 29, 202.
Stommel, H. 1957 Deep-Sea Res. 4, 149.
Stommel, H. 1962 J. mar. Res. 20, 92.
Sverdrup, H. U. 1947 Proc. natn. Acad. Sci. U.S.A. 33, 318.
Wyrtki, K. 1960 Dt. hydrog. Z. 13, 153.
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A linear model of the Antarctic circumpolar current

  • A. E. Gill (a1)


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