Stability of quasi-equilibrium of a binary fluid-inclined layer under the action of high-frequency vibrations

The linear stability of quasi-equilibrium states of an inclined binary fluid layer subjected to the gravity field and high-frequency small-amplitude vibrations is studied in the presence of the prescribed vertical temperature and concentration gradients. The rigid boundaries of a layer are impermeab...

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Bibliographic Details
Published in:Physics of fluids (1994) 2024-10, Vol.36 (10)
Main Authors: Lyubimova, T. P., Lyubimov, D. V., Prokopev, S. A.
Format: Article
Language:English
Subjects:
Binary fluids
Concentration gradient
Finite difference method
Frequency stability
Gravitational fields
Nonlinear analysis
Stability analysis
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Summary:The linear stability of quasi-equilibrium states of an inclined binary fluid layer subjected to the gravity field and high-frequency small-amplitude vibrations is studied in the presence of the prescribed vertical temperature and concentration gradients. The rigid boundaries of a layer are impermeable to a substance. The Soret and Dufour effects are neglected. The study is conducted in the average approach. The conditions for quasi-equilibrium state existence are found, and the linear stability of these states to the longwave and finite-wavelength perturbations is investigated. The results of the linear stability analysis are confirmed by the nonlinear modeling, which is carried out by the finite difference method.
ISSN:1070-6631
1089-7666
DOI:10.1063/5.0226234