The interaction of thermocapillary and vibrational instabilities in a two-layer system subjected to the tangential vibrations
Institute of Continuous Media Mechanics UB RAS, 1, Koroleva Str., 614013, Perm, Russia
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Received: 30 June 2016
Revised: 13 August 2016
Published online: 2 May 2017
The paper deals with the investigation of interaction of thermocapillary, parametric and frozen wave instability mechanisms in a two-layer system of immiscible incompressible viscous fluids of different densities (more dense fluid is located below). External boundaries are rigid. They are maintained at constant different temperatures. The system is subjected to the gravity force and horizontal vibrations of finite frequency and amplitude. The study is performed taking into account the interface deformations. The thermal expansion of fluids is neglected. It is found that vibrations make strong destabilizing effect on the longwave instability mode related to the interface deformations and stabilizing effect on Pearson instability mode.
© EDP Sciences, Springer-Verlag, 2017