Interplay of oscillatory and migratory behavior in bubble-pair interactions

The interplay of coupling and entanglement among underwater bubbles exerts a pronounced impact on bubble dynamics, as well as the propagation characteristics of pulsations and velocities. Herein, both horizontal and vertical arrangements were considered. A double-bubble mathematical model was employed to emphasize the interactions between a pair of oscillating bubbles, with a single-bubble scenario serving as the control group. Spatiotemporal correlation analysis was conducted between the bubble motion patterns and flow-field instabilities. The results indicated that, within the double-bubble system, the predominant oscillation duration of the left-hand bubble was prolonged by over 50% in comparison to that of a single bubble. As the liquid level increased in depth, there was a notable delay in both the oscillation and migration of the bubbles, and the flow instability induced by the bubbles gradually diminished. Moreover, the acceleration of bubble oscillation and the viscous force emerge as the primary factors governing the momentum propagation. In contrast, the bubble radius and migration velocity exert only a negligible influence on the flow field. The current study provides new theoretical insights and quantitative tools for future research in multiphase flow and underwater bubble control strategies.