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The stability of long, steady, two-dimensional salt fingers. (English) Zbl 0588.76069

From author’s summary: In this paper we study the stability of long steady, two-dimensional salt fingers. It is already known that salt fingers carrying a large enough density flux are unstable to long- wavelength internal-wave perturbations (collective instability). We extend the earlier work [the author, ibid. 110, 195-207 (1981; Zbl 0484.76057)] to include perturbations of all wavelengths. By applying the methods of Floquet theory to the periodic salt fingers, the growth rates of perturbations are found. For both heat-salt and salt-sugar systems the collective instability, which can be recognized by its frequency of oscillation, does not have the largest growth rate. There is a new, non- oscillatory instability, which, according to linear theory, grows faster than the collective instability. We study the instabilities that arise by using a combination of analytical and numerical methods.
Reviewer: M.Boudourides

MSC:

76E15 Absolute and convective instability and stability in hydrodynamic stability
76R10 Free convection

Citations:

Zbl 0484.76057
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References:

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