Thermovibrational instability of Rayleigh–Marangoni–Benard convection in two-layer fluid systems

Abstract

The thermovibrational instability of Rayleigh–Marangoni–Benard convection in a two-layer system under the high-frequency vibration has been investigated by linear instability analysis in the present paper. General equations for the description of the convective flow and within this framework, the generalized Boussinesq approximation are formulated. These equations are dealt with using the averaging method. The theoretical analysis results show that the high-frequency thermovibrations can change the Marangoni–Benard convection instabilities as well as the oscillatory gaps of the Rayleigh–Marangoni–Benard convection in two-layer liquid systems. It is found that vertical high-frequency vibrations can delay convective instability of this system, and damp the convective flow down.