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The source-sink flow in a rotating system and its oceanic analogy

Published online by Cambridge University Press:  29 March 2006

Han-Hsiung Kuo  and
George Veronis
Han-Hsiung Kuo
Affiliation:
Woods Hole Oceanographic Institution, Woods Hole, Mass. 02543
George Veronis
Affiliation:
Department of Geology and Geophysics, Yale University, New Haven, Conn. 06520
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Abstract

Laboratory analogues of theoretical models of wind-driven ocean circulation are based on ideas presented by Stommel (1957). A particularly simple demonstration of the applicability of these ideas is contained in a paper by Stommel, Arons & Faller (1958). The present work develops the source-sink laboratory analogue of ocean circulation models to a point where chosen parametric values allow one to simulate the theoretical models of Stommel (1948) and Munk (1950) exactly. The investigation of the flow in a rotating cylinder generated by a source of fluid near the outer wall leads to a detailed description of the roles of the various boundary layers which occur. This knowledge is used to analyse the more complex source-sink flow in a pie-shaped basin. The laboratory analogue to the Stommel circulation model is analyzed in detail. It is shown that the change in the flow pattern brought about by a radial variation of the position of the eastern boundary in the pie-shaped basin is confined to the interior flow and the boundary layer is largely unaffected. When the bottom of the pie-shaped container slopes, the circulation pattern is changed significantly. For the particular case treated, the depth of the basin along the western boundary is unchanged and the maximum depth occurs at the southeast corner. The circulation generated by a source introduced at the apex of the pie has a gyre whose centre is shifted more toward the southwest corner than the corresponding centre of the gyre for a flat-bottomed basin. Two experiments are reported showing that the western boundary may separate because of the effect of bottom topography or because of the pressure of a cyclonic and an anti-cyclonic gyre generated by suitably placed sources and sinks.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 45 , Issue 3 , 15 February 1971 , pp. 441 - 464
Copyright
© 1971 Cambridge University Press

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References

Abramowitz, M. & Stegun, I. A. (eds.) 1965 The Handbook of Mathematical Functions. New York: Dover.
Baker, D. J. 1966 A technique for the precise measurement of small fluid velocities J. Fluid Mech. 26, 573–575.Google Scholar
Barcilon, V. 1967 On the motion due to sources and sinks distributed along the vertical boundary of a rotating fluid J. Fluid Mech. 27, 551–560.Google Scholar
Beardsley, R. C. 1969 A laboratory model of the wind-driven ocean circulation J. Fluid Mech. 38, 255–271.Google Scholar
Bryan, K. 1963 A numerical investigation of a non-linear model of a wind-driven ocean J. Atmos. Sci. 20, 594–606.Google Scholar
Cole, J. D. 1968 Perturbation Methods in Applied Mathematics. London: Blaisdell.
Fuglister, F. C. 1963 Gulf Stream '60. Progress in Oceanography (Sears, ed.), vol. 1, ch. 5. London: Pergamon.
Greenspan, H. P. 1968 The Theory of Rotating Fluids. Cambridge University Press.
Hide, R. 1967 On source-sink flows in a rotating flow J. Fluid Mech. 32, 737–764.Google Scholar
Holland, W. R. 1967 On the wind-driven circulation in an ocean with bottom topography Tellus, 19, 582–599.Google Scholar
Munk, W. H. 1950 On the wind-driven ocean circulation J. Meteorol. 7, 79–93.Google Scholar
Munk, W. H. & Carrier, G. F. 1950 On the wind-driven circulation in ocean basins of various shapes Tellus, 2, 158–167.Google Scholar
Pedlosky, J. & Greenspan, H. P. 1967 A simple laboratory model for the oceanic circulation J. Fluid Mech. 27, 291.Google Scholar
Sarkisyan, A. C. 1954 The calculation of stationary wind currents in an ocean Izv. Acad. Nauk SSSR, Ser. Geofiz. 6, 554–561.Google Scholar
Stewartson, K. 1957 On almost rigid rotations J. Fluid Mech. 3, 17–26.Google Scholar
Stommel, H. 1948 The western intensification of wind-driven ocean currents Trans. Am. Geoph. Union, 29, 202–206.Google Scholar
Stommel, H. 1957 A survey of ocean current theory Deep-Sea Res. 4, 149–184.Google Scholar
Stommel, H., Arons, A. B. & Faller, A. J. 1958 Some examples of stationary planetary flows Tellus, 10, 179–187.Google Scholar
Sverdrup, H. U. 1947 Wind-driven currents in a baroclinic, with application to the equatorial currents of the eastern Pacific Proc. Natn. Acad. Sci. U.S.A. 33, 318–326.Google Scholar
Uda, M. 1964 On the nature of the Juroshio, its origin and meanders. Studies on Oceano graphy, 89–107.
Warren, B. A. 1963 Topographic influences on the Gulf Stream Tellus, 15, 167–183.Google Scholar