Abstract
THE character of small amplitude convection in a fluid which has been subjected to a stabilizing gradient of some solute and a destabilizing temperature gradient has been calculated by Gershuni and Zhukhovitskii1, Veronis2 and Sani3. Gershuni and Zhukhovitskii considered an infinite vertical layer of fluid, in which the flow varied in only one (horizontal) direction, while the other authors considered a horizontal layer in which flow was two-dimensional. All these treatments show that convection can begin either as a steady motion or as infinitesimal oscillations, depending on the conditions. In the case of overstability, Sani predicts that the amplitude of oscillations would be very small, while Veronis suggests that they would readily lead to a steady flow.
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References
Gershuni, G. Z., Zhukhovitskii, E. M., P. M. M. (translated), 27, 441 (1963).
Veronis, G., J. Marine Res., 23, 1 (1965).
Sani, R. L., A.I.Ch.E. Journal, 11, 971 (1965).
Turner, J. S., and Stommel, H., Proc. U.S. Nat. Acad. Sci., 52, 49 (1964).
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SHIRTCLIFFE, T. Thermosolutal Convection : Observation of an Overstable Mode. Nature 213, 489–490 (1967). https://doi.org/10.1038/213489a0
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DOI: https://doi.org/10.1038/213489a0
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