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An experiment on boundary mixing. Part 2 The slope dependence at small angles

Published online by Cambridge University Press:  26 April 2006

H. Salmun  and
O. M. Phillips
H. Salmun
Affiliation:
Department of Earth and Planetary Sciences, The Johns Hopkins University, Baltimore, MD 21218, USA Present address: Robert Hooke Institute, The Observatory, Clarendon Laboratory, Parks Road, Oxford OX1 3PU, UK.
O. M. Phillips
Affiliation:
Department of Earth and Planetary Sciences, The Johns Hopkins University, Baltimore, MD 21218, USA
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Abstract

Experiments of the type described by Phillips et al. (1986) were performed using different slopes with the aim of examining the slope dependence of the buoyancy and volume transports, particularly at small slopes. The new observations confirmed the general flow patterns described for experiments conducted at a fixed slope, but a reconsideration of the local balances suggest that the buoyancy flux at small slopes θ is proportional to $(\kappa N)^{\frac{3}{2}}\sin\theta $, where κ is the turbulent diffusivity. and the volume flux associated with the overall convergence flow is linear with depth and proportional to (κ3/2/N½h) sin θ, where h is the thickness of the pycnocline. These differ in their dependence on the slope suggested (but not tested) in Phillips et al., and are generally consistent with measurements over a range of slopes from 7.1° to 23.5°.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 240 , July 1992 , pp. 355 - 377
Copyright
© 1992 Cambridge University Press

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References

Armi, L. 1978 Some evidence for boundary mixing in the deep ocean. J. Geophys. Res. 83, 1971–1979.Google Scholar
Cacchione, D. & Wunsch, C. 1974 Experimental study of waves over a slope. J. Fluid Mech. 66, 223–229.Google Scholar
Caldwell, D. R., Brubaker, J. M. & Neal, V. T. 1978 Thermal microstructure on a lake slope. Limnol. Oceanogr. 23, 372–374.Google Scholar
Eriksen, C. C. 1985 Implications of ocean bottom reflection for internal wave spectra and mixing. J. Phys. Oceanogr. 15, 1145–1156.Google Scholar
Garrett, C. 1979 Mixing in the ocean interior. Dyn. Atmos. Ocean. 3, 239–265.Google Scholar
Garrett, C. 1990 The role of the secondary circulation in boundary mixing. J. Geophys. Res. 95, 3181–3188.Google Scholar
Garrett, C. 1991 Marginal mixing theories. Atmos. Ocean. 29, 313–339.Google Scholar
Gregg, M. C. & Sanford, T. B. 1980 Signatures of mixing from the Bermuda slope, the Sargasso Sea and the Gulf Stream. J. Phys. Oceanogr. 10, 105–127.Google Scholar
Ivey, G. N. 1987 Boundary mixing in a rotating, stratified fluid. J. Fluid Mech. 183, 25–44.Google Scholar
Ivey, G. N. & Corcos, G. M. 1982 Boundary mixing in a stratified fluid. J. Fluid Mech. 121, 1–26.Google Scholar
Ivey, G. N. & Nokes, R. I. 1989 Vertical mixing due to the breaking of critical internal waves on sloping boundaries. J. Fluid Mech. 204, 479–500.Google Scholar
Marmorino, G. O., Danos, S. C. & Maki, J. S. 1980 Temperature fine structure of Lake Michigan hypolimnion. Limnol. Oceanogr. 25, 680–699.Google Scholar
Munk, W. 1966 Abyssal recipes. Deep-Sea Res. 13, 107–175.Google Scholar
Phillips, O. M. 1970 On flows induced by diffusion in a stably stratified fluid. Deep-Sea Res. 17, 435–443.Google Scholar
Phillips, O. M., Shyu, J.-H. & Salmun, H. 1986 An experiment on boundary mixing: mean circulation and transport rates. J. Fluid Mech. 173, 473–499 (referred to herein as PSS).Google Scholar
Stigebrant, A. 1976 Vertical diffusion driven by internal waves in a sill fjord. J. Phys. Oceanogr. 6, 486–495.Google Scholar
Thorpe, S. A. 1982 On the layers produced by rapidly oscillating a vertical grid in a uniform stratified fluid. J. Fluid Mech. 124, 391–409.Google Scholar
Thorpe, S. A. 1987 Current and temperature variability on the continental slope.. Philos. Trans. R. Soc. Lond. A 323, 471–517.Google Scholar
Turner, J. S. 1979 Buoyancy Effects in Fluids. Cambridge University Press. 368 pp.
Woods, A. W. 1991 Boundary-driven mixing. J. Fluid Mech. 226, 625–654.Google Scholar
Wunsch, C. 1972 Temperature microstructure on the Bermuda Slope with application to the mean flow. Tellus 24, 350–367.Google Scholar