4.7 Article

Coalescence of diffusively growing gas bubbles

Journal

JOURNAL OF FLUID MECHANICS
Volume 846, Issue -, Pages 143-165

Publisher

CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2018.277

Keywords

breakup/coalescence; bubble dynamics; capillary waves

Funding

  1. Netherlands Centre for Multiscale Catalytic Energy Conversion (MCEC), an NWO Gravitation programme - Ministry of Education, Culture and Science of the government of the Netherlands

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Under slightly supersaturated conditions, bubbles need many minutes to grow due to the low gas diffusivity in liquids. When coalescence occurs, the fact that the bubbles have diffusively grown on top of a surface allows for control with precision of the location and the timing at which the coalescence takes place. Numerous coalescences of two CO(2 )microbubbles in water are recorded at a frame rate of similar to 65000 fps. The evolution of the coalescing process is analysed in detail, differentiating among three phases: neck formation, wave propagation along the bubble surface and bubble detachment. First of all, the formation of the collapsing neck between both bubbles is compared to a capillary-inertial theoretical model. Afterwards, the propagating deformation along the surface is characterised measuring its evolution, velocity and dominant wavelength. Once bubbles coalesce, the perturbing waves and the final shape of the new bubble breaks the equilibrium between buoyancy and capillary forces. Consequently, the coalesced bubble detaches and rises due to buoyancy, oscillating with its natural Minnaert frequency. In addition to the experiments, a boundary integral code has been used to obtain numerical results of the coalescence under similar conditions, showing excellent agreement with the experimental data.

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