Influence of vibration on the onset of convection in two-layer system

Abstract

Current research is concentrated on the influence of translational vibrations on thermocapillary convection in two-layer system of viscous incompressible homogenous immiscible fluids, separated by deformable interface with surface tension coefficient dependent on temperature. Linear stability was considered in the cases of single-frequency vibrations of finite and infinite frequencies, as well as multi-frequency oscillations. When frequency was finite, vibrations were considered vertical, and for large frequencies vibration direction was taken as arbitrary. Parametric resonance regions, corresponding to synchronous and subharmonic disturbances, as well as oscillatory instability regions, were calculated. In the case of large frequencies averaging method was applied. It was shown that vibrations have stabilizing influence, with the strongest effect being when oscillations direction is vertical.