Eur. Phys. J. E (2015) 38: 43
https://doi.org/10.1140/epje/i2015-15043-2

Regular Article

High-frequency vibration effect on the stability of a horizontal layer of ternary fluid

¹ Institute of Continuous Media Mechanics UB RAS, 1, Koroleva Str., 614013, Perm, Russia
² Perm State University, 15, Bukireva St., 614990, Perm, Russia

^* e-mail: lubimova@psu.ru

Received: 15 July 2014
Accepted: 20 March 2015
Published online: 25 May 2015

Abstract

The effect of small-amplitude high-frequency longitudinal vibrations on the stability of a horizontal layer of ternary fluid is studied in the framework of average approach. Long-wave instability is studied analytically and instability to the perturbations with finite wave numbers is studied numerically. It is found that, similar to the case when vibrations are absent, for ternary fluids there exist monotonic and oscillatory long-wave instability modes. The calculations show that the vibrations lead to destabilization in the case of heating from below and to stabilization in the case of heating from above. Additionally, vibrations influence on the parameter range where long-wave instability is most dangerous. New, vibrational, instability modes are found which leads to the existence of convection in zero-gravity conditions.