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Oscillation and breakup of a bubble under forced vibration
Affiliation:1. Chinese National Engineering Research Center of Coal Preparation and Purification, China University of Mining and Technology, Xuzhou 221116, Jiangsu, China;2. School of Chemical Engineering and Technology, China University of Mining and Technology, Xuzhou 221116, Jiangsu, China;3. School of Minerals Processing and Bioengineering, Central South University, Changsha 410083, China;1. Institute of Applied Mechanics and Biomedical Engineering, Taiyuan University of Technology, Taiyuan 030024, China;2. Shanxi Key Laboratory of Material Strength and Structural Impact, Taiyuan 030024, China;3. College of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, China
Abstract:Coupled shape oscillations and translational motion of an incompressible gas bubble in a vibrating liquid container is studied numerically. The bubble oscillation characteristics are mapped based on the bubble Bond number (Bo) and the ratio of the vibration amplitude of the container to the bubble diameter (A/D). At small Bo and A/D, the bubble oscillation is found to be linear with small amplitudes, and at large Bo and A/D, it is nonlinear and chaotic. This chaotic bubble oscillation is similar to those observed in two coupled nonlinear systems, here being the gas inside the bubble and its surrounding liquid. Further increases in the forcing, results in the bubble breakup due to large liquid inertia.
Keywords:Drops and bubbles  Bubble oscillations  Chaotic oscillation  Microgravity flows
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