Hostname: page-component-848d4c4894-nr4z6 Total loading time: 0 Render date: 2024-06-06T11:22:12.823Z Has data issue: false hasContentIssue false

Dispersion of tracers in the deep ocean

Published online by Cambridge University Press:  20 April 2006

Ronald Smith
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge

Abstract

Exact solutions are used to contrast the behaviour of vertical dye streaks and of point discharge in the deep ocean. After a few inertial periods the growth of the contaminant cloud in both cases can be modelled by a diffusion equation with slowly varying coefficients. However, the apparent long-term diffusivity for the dye streak can be as much as three times as large as the horizontal diffusivity for the point discharge, depending upon the precise time of release. This anomalously large rate of spreading for the dye streak can persist for several weeks until sufficient time has elapsed for vertical diffusion over the vertical lengthscale of the dominant inertial- frequency waves.

Type
Research Article
Copyright
© 1982 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

Carter, H. H. & Okubo, A. 1965 A study of the physical processes of movement and dispersion in the Cape Kennedy Area. Chesapeake Bay Inst. Rep. no. 65–2.Google Scholar
Chatwin, P. C. & Sullivan, P. J. 1981 Diffusion from an elevated source within the atmospheric boundary layer. 3rd Shear Flow Conference, U.C. Davis, California.
Ewart, T. E. & Bendiner, W. P. 1981 An observation of the horizontal and vertical diffusion of a passive tracer in the deep ocean. J. Geophys. Res. 86, 1097410982.Google Scholar
Gargett, A. E., Hendricks, P. J., Sanford, T. B., Osborn, T. R. & Williams, A. J. 1981 A composite spectrum of vertical shear in the upper ocean. J. Phys. Oceanogr. 11, 12581271.Google Scholar
Okubo, A. 1967 The effect of shear in an oscillatory current on horizontal diffusion from an instantaneous source. Int. J. Oceanol. Limnol. 1, 194204.Google Scholar
Smith, R. 1982 Gaussian approximation for contaminant dispersion. Q. J. Mech. Appl. Math. 35, 345366.Google Scholar
Taylor, G. I. 1953 Dispersion of soluble matter in solvent flowing slowly through a tube. Proc. R. Soc. Lond. A 219, 186203.Google Scholar
Townsend, A. A. 1951 The diffusion of heat spots in isotropic turbulence. Proc. R. Soc. Lond. A 209, 418430.Google Scholar
Young, W. R., Rhines, P. B. & Garrett, C. J. R. 1982 Shear-flow dispersion, internal waves and horizontal mixing in the ocean. J. Phys. Oceanogr. 12, 515527.Google Scholar