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Kelley 1990
Kelley, D.E. (1990). Fluxes through diffusive staircases: A new formulation. Journal of Geophysical Research 95: doi: 10.1029/89JC03778. issn: 0148-0227.

This paper deals with two aspects of the flux law for diffusive convection: (1) the dependence on density ratio, and (2) the dependence on ΔT. Empirical formulations of the dependence of temperature and salinity fluxes on density ratio are developed using published measurements. At high density ratios (R&rgr;>4) our temperature fluxes agree with those given by Marmorino and Caldwell's (1976) formulation, but at low density ratios (R&rgr;<2.5) our temperature fluxes are smaller by half. However, it is suggested that any formulation of the 4/3 flux law should be used with caution. A simple convection theory implies that fluxes are not proportional to ΔT4/3, as the 4/3 law states, but rather are proportional to ΔT raised to a power closer to 5/4. The theory accurately matches measurements of velocity and heat flux in thermal convection. There are insufficient data to test (or even fully formulate) the theory for diffusive convection, but if the thermal convection results carry over to the diffusive case, then the 4/3 flux law overestimates oceanic fluxes by up to about 30%. ¿ American Geophysical Union 1990

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Abstract

Keywords
Oceanography, Physical, General circulation
Journal
Journal of Geophysical Research
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Publisher
American Geophysical Union
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