Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-18T18:52:24.728Z Has data issue: false hasContentIssue false

On the theory of the wind-driven ocean circulation

Published online by Cambridge University Press:  28 March 2006

G. F. Carrier
Affiliation:
Pierce Hall, Harvard University
A. R. Robinson
Affiliation:
Pierce Hall, Harvard University

Abstract

A surface distribution of stress is imposed on an ocean enclosed by two continental boundaries; the resulting transport circulation is studied between two latitudes of zero surface wind-stress curl, within which the curl reaches a single maximum. Under the assumption that turbulent transfer of relative vorticity has a minimum effect on the mean circulation, inviscid flow patterns are deduced in the limit of small transport Rossby number. Inertial currents, or naturally scaled regions of high relative vorticity, occur on both the eastern and the western continental coasts. Limits on the relative transports of the currents are obtained and found to depend on the direction of variation of the wind-stress curl with latitude, relative to that of the Coriolis accelerations. The most striking feature of the inviscid flow is a narrow inertial current the axis of which lies along the latitude of maximum wind-stress curl. All eastward flow occurs in this midlatitude jet.

A feature of the flow which cannot remain essentially free of turbulent processes is the integrated vorticity relationship, since the imposed wind-stress distribution acts as a net source of vorticity for the ocean. Heuristic arguments are used together with this integral constraint to deduce the presence and strength of the turbulent diffusion which must occur in the region of the mid-latitude jet. It is further inferred that the turbulent meanders of the jet must effect a net meridional transport of relative vorticity.

Type
Research Article
Copyright
© 1962 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

Carrier, G. F. 1953 Boundary layer problems in applied mechanics. Adv. Appl. Mech. 3, 1953.Google Scholar
Charney J. G. 1955 The Gulf Stream as an inertial boundary layer. Proc. Nat. Acad. Sci. Wash. 41, 731.Google Scholar
Fofonoff, N. P. 1954 Steady flow in a frictionless homogeneous ocean. J. Marine Res. 13, 254.Google Scholar
Morgan, G. W. 1956 On the wind-driven ocean circulation. Tellus, 8, 301.Google Scholar
Munk, W. H. 1950 On the wind-driven ocean circulation. J. Met. 7, 79.Google Scholar
Munk, W. H. & Carrier, G. F. 1950 The wind-driven circulation in ocean basins of various shapes. Tellus, 2, 158.Google Scholar
Sverdrup, H. U. 1947 Wind-driven currents in a baroclinic ocean; with application to the equatiorial currents of the eastern Pacific. Proc. Nat. Acad. Sci. Wash. 33, 318.Google Scholar
Stommel, H. 1948 The westward intensification of wind-driven ocean currents. Trans. Amer. Geophys. Un. 29, 202.Google Scholar
Stommel, H. 1955 Lateral eddy-viscosity in the Gulf Stream system. Deep Sea Res. 3, 88.Google Scholar
Stommel, H. 1958 The Gulf Stream: a Physical and Dynamical Description. Cambridge University Press.