| Abstract: | The vibrations of a vessel strongly influence the behavior of the interface of the fluids in it. Thus, vertical vibrations
can lead both to the parametric excitation of waves (Faraday ripples) and to the suppression of the Rayleigh-Taylor instability
1–2]. At the present time, the influence of vertical vibrations on the behavior of a fluid surface have been studied in sufficient
detail (see, for example, review 3]). The behavior of an interface of fluids in the case of horizontal vibrations has been
studied less. An interesting phenomenon has been revealed in the experimental papers 4, 5]: in the case of fairly strong
horizontal vibrations of a vessel containing a fluid with a free surface, the fluid collects near one of the vertical vessel
walls, the free surface being practically plane and stationary with respect to the vessel, while its angle of inclination
to the horizon depends on the vibration rate. But if there is a system of immiscible fluids with comparable but different
densities in the vessel, horizontal vibrations lead to the formation of a steady wave relief at the interface. An explanation
of the behavior of a fluid with a free boundary was given in 6] on the basis of averaged equations of fluid motion in a vibrational
field. The present paper is devoted to an analysis of the behavior of the interface of fluids with comparable densities in
a high-frequency vibrational field.
Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 8–13, November–December, 1986. |
