 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ÏÌÌ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| S.M. Zen’kovskaya and V.A. Novosyadlyi, "The effect of a high-frequency progressive vibration on the convective instability of a two-layer fluid," J. Appl. Math. Mech. 73 (3), 271-280 (2009) |
| Year |
2009 |
Volume |
73 |
Issue |
3 |
Pages |
271-280 |
| Title |
The effect of a high-frequency progressive vibration on the convective instability of a two-layer fluid |
| Author(s) |
S.M. Zen’kovskaya (Rostov on Don, Russia, zenkov@math.rsu.ru)
V.A. Novosyadlyi (Rostov on Don, Russia, vaalno@gmail.com) |
| Abstract |
The influence of a high-frequency progressive vibration on the onset of thermal convection in a two-layer system of viscous immiscible fluids is investigated. The interface is deformable, the outer walls are rigid, and heat-transfer conditions of a general form are assigned on them. The starting equations are taken in the generalized Oberbeck-Boussinesq approximation. An averaging method is employed. It is shown that the averaged problem contains a vibrogenic external force and vibrogenic stresses that are proportional to the square of the amplitude of the vibration rate. A quasi-equilibrium solution that satisfies the closure condition is found, and its stability is investigated. It is established that, unlike the case of a single-layer fluid, the horizontal component of the vibration influences the onset of convection and have a destabilizing effect. The vertical component stabilizes the two-layer system by increasing the surface tension. The long-wavelength asymptotic is investigated. Calculations are performed for the silicone oil-Fluorinert and acetonitrile-n-hexane systems. |
| Received |
31 March 2008 |
| Link to Fulltext |
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