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Transport and profile measurements of the diffusive interface in double diffusive convection with similar diffusivities

Published online by Cambridge University Press:  29 March 2006

T. G. L. Shirtcliffe
T. G. L. Shirtcliffe
Affiliation:
Department of Physics, Victoria University of Wellington, New Zealand
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Abstract

The transport properties of a diffusive interface with diffusivity ratio $\kappa_S/\kappa_T = {\textstyle\frac{1}{3}}$ have been measured, using salt and sugar as the diffusing components. The flux ratio is constant and equal to (κS/κT)½. The normalized salt flux is related to the density anomaly ratio Rρ = βΔS/αΔT by the power law F*T = 2·59Rρ−12.6 over four decades. Optical measurements show that the vertical gradients of concentration of salt and sugar within the interface are those required if molecular diffusion is to account for the whole flux of each component.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 57 , Issue 1 , 23 January 1973 , pp. 27 - 43
Copyright
© 1973 Cambridge University Press

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References

Howe, M. R. & Tait, R. I. 1970 Further observations of thermohaline stratification in the deep ocean. Deep-sea Res. 17, 963–972.Google Scholar
Huppert, H. E. 1971 On the stability of a series of double-diffusive layers. Deep Sea Res. 18, 1005–1021.Google Scholar
Linden, P. F. 1971 Salt fingers in the presence of grid-generated turbulence. J. Fluid Mech. 34, 315–336.Google Scholar
Shirtcliffe, T. G. L. 1969a The development of layered thermosolutal convection. Int. J. Heat Mass Transfer, 12, 215–222.Google Scholar
Shirtcliffe, T. G. L. 1969b A dual-purpose schlieren system. J. Sci. Instrum. (J. Phys. E), 2, 611–624.Google Scholar
Shirtcliffe, T. G. L. & Turner, J. S. 1970 Observations of the cell structure of salt fingers. J. Fluid Mech. 41, 707–720.Google Scholar
Stern, M. E. 1960 The ‘salt-fountain’ and thermohaline convection. Tellus, 12, 172–175.Google Scholar
Stern, M. E. 1969 Collective instability of salt fingers. J. Fluid Mech. 35, 209.Google Scholar
Stern, M. E. & Turner, J. S. 1969 Salt fingers and convecting layers. Deep Sea Res. 16, 497–511.Google Scholar
Turner, J. S. 1965 The coupled turbulent transports of salt and heat across a sharp density interface. Int. J. Heat Mass Tralwfer, 8, 759–767.Google Scholar
Turner, J. S. 1967 Salt fingers across a density interface. Deep Sea Res. 14, 599–611.Google Scholar
Turner, J. S. 1968 The behaviour of a stable salinity gradient heated from below. J. Pluid Mech. 33, 183.Google Scholar
Turner, J. S., Shirtcliffe, T. G. L. & Brewer, P. G. 1970 Elemental variations of transport coefficients across density interfaces in multiple-diffusive systems. Nature, 228, 1083–1084.Google Scholar
Turner, J. S. & Stommel, H. 1964 A new case of convection in the presence of combined vertical salinity and temperature gradients. Proc. Nut. Acad. Sci. U.S.A. 52, 49–53.Google Scholar
Veronis, G. 1968 Effect of a stabilizing gradient of solute on thermal convection. J. Fluid Mech. 34, 315.Google Scholar
Weast, R. C. (ed.) 1968 Handbook of Chemistry and Physics, 49th edn. Chemical Rubber fingers. J. Fluid Mech. 41, 707–720.