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Nonlinear source-sink flow in a rotating pie-shaped basin

Published online by Cambridge University Press:  29 March 2006

George Veronis And
Affiliation:
Department of Geology and Geophysics, Yale University
C. C. Yang
Affiliation:
Department of Geology and Geophysics, Yale University

Abstract

Source-sink flows in a rotating pie-shaped basin provide a laboratory analogue of wind-driven ocean circulation (Stommel, Arons & Faller 1958). Experiments and theory are presented here for flows which are mildly nonlinear. Theory and experiment show satisfactory agreement for the intense flow in the western boundary-layer region which contains the strongest nonlinear effects. The strengths of the sources and sinks were increased in the experiments in an attempt to induce an instability in the western boundary layer. However, the western boundary layer was always stable, even for relatively large Rossby numbers. Photographs from experiments with a basin of semicircular cross-section show the difference between eastern and western boundary layers in a striking manner.

Type
Research Article
Copyright
© 1972 Cambridge University Press

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References

Baker D. J.1966 A technique for the precise measurement of small fluid velocities. J. Fluid Mech., 26, 573.Google Scholar
Greenspan H. P.1968 The Theory of Rotating Fluids. Cambridge University Press.
Kuo, H. H. & Veronis G.1971 The source-sink flow in a rotating system and its oceanic analogy. J. Fluid Mech., 45, 441.Google Scholar
Munk W. H.1950 On the wind-driven ocean circulation. J. Meteorol., 7, 79.Google Scholar
Stommel H.1948 The western intensification of wind-driven ocean currents. Trans. Am. Geoph. Union, 29, 202.Google Scholar
Stommel H., Arons, A. B. & Faller A. J.1958 Some examples of stationary planetary flows. Tellus, 10, 179.Google Scholar