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A singularity in an oceanic boundary layer

Published online by Cambridge University Press:  24 October 2008

Aileen Creegan
Affiliation:
Polytechnic, Penrhyn RoadKingston-upon-Thames
P. P. G. Dyke
Affiliation:
Heriot-Watt UniversityEdinburgh
J. A. Johnson
Affiliation:
School of Mathematics and Physics, University of East Anglia, Norwich

Abstract

A β-plane ocean is considered, and dissipative processes are modelled by using a coefficient of lateral friction. Attention is focused on the singularity which occurs if the angle that the western boundary makes with the north approaches ½π. The dimensions of the singular region are found using boundary layer techniques, and the solution for the transport stream function valid within it is obtained in closed form.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1975

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References

REFERENCES

(1)Beardsley, R. C.A numerical model of the wind-driven ocean circulation in a circular basin. Geophys. Fl. Dyn. 4 (1973), 211241.Google Scholar
(2)Dowden, J. M.An equatorial boundary layer. J. Fluid Mech. 56 (1972), 193200.CrossRefGoogle Scholar
(3)Jeffreys, H. & Jeffreys, B.Methods of Mathematical Physics (Cambridge University Press 1956).Google Scholar
(4)Lighthill, M. J.Dynamics of rotating fluids: a survey. J. Fluid Mech. 26 (1966), 411431.CrossRefGoogle Scholar
(5)Munk, W. H.On the wind-driven ocean circulation. J. Met. 7 (1950), 7993.Google Scholar
(6)Munk, W. H. & Carrier, G. F.The wind-driven circulation in ocean basins of various shapes. Tellus 2 (1950), 158167.CrossRefGoogle Scholar
(7)Pedlosky, J.An overlooked aspect of the wind-driven ocean circulation. J. Fluid Mech. 32 (1968), 809821.Google Scholar
(8)Thomson, R. E.On the Alaskan stream. J. Phys. Oceanogr. 2 (1972), 363371.2.0.CO;2>CrossRefGoogle Scholar