A model for simultaneous coalescence of bubble clusters

Models for random coalescence of freely rising bubbles are developed for both a binary and nonbinary process. The bubble size distribution predicted by the binary model is represented well by the geometric and exponential distributions for a large number of bubbles and coalescence events. The nonbin...

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Bibliographic Details
Published in:Chemical engineering science 1993, Vol.48 (19), p.3347-3354
Main Authors: Stewart, C.W., Crowe, C.T., Saunders, S.C.
Format: Article
Language:English
Subjects:
Applied sciences
Chemical engineering
Exact sciences and technology
Hydrodynamics of contact apparatus
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Summary:Models for random coalescence of freely rising bubbles are developed for both a binary and nonbinary process. The bubble size distribution predicted by the binary model is represented well by the geometric and exponential distributions for a large number of bubbles and coalescence events. The nonbinary model that assumes simultaneous coalescence of bubble clusters yields bubbles sizes that follow the Pareto distribution. The Pareto model compared well with five measured distributions while the exponential model showed essentially no correlation. This and prior experimental observations shows that bubble coalescence is not binary but rather occurs by formation of bubble clusters.
ISSN:0009-2509
1873-4405
DOI:10.1016/0009-2509(93)80151-F