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Holyer, Judith Y.

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

J. Fluid Mech. 147, 169-185 (1984).
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

Cited in 14 Documents

MSC:

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

Keywords:

heat-salt systems; stability; long steady, two-dimensional salt fingers; long-wavelength internal-wave perturbations; collective instability; methods of Floquet theory; periodic salt fingers; growth rates of perturbations; salt-sugar systems; frequency of oscillation; non- oscillatory instability; combination of analytical and numerical methods

Citations:

Zbl 0484.76057
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\textit{J. Y. Holyer}, J. Fluid Mech. 147, 169--185 (1984; Zbl 0588.76069)
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References:

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