The Behavior of a Gas Bubble in a Square Cavity Filled with a Viscous Liquid Undergoing Vibrations

External vibrations are known to be one of the promising ways to control the behavior of multiphase systems. The computational modeling of the behavior of a gas bubble in a viscous liquid in a horizontal cylinder of square cross-section, which undergoes linearly polarized translational oscillations in weightless conditions, has been carried out. Under vibrations, the bubble moves towards the wall of the vessel with acceleration determined by the amplitudes and frequency of vibrations. Near the wall, at a distance of the order of the thickness of the viscous Stokes boundary layer, the effects of viscosity become more important and, as a result, the bubble is repelled from the wall. After some oscillations, equilibrium conditions are attained where the attractive force balances the repulsive force; accordingly, the average position of the bubble ceases to change. The numerical modelling shows that the average behaviors of a deformable bubble near a wall under normal and tangential vibration are similar.