CAPTURE OF SMALL PARTICLES ON A BUBBLE COLLECTOR BY BROWNIAN DIFFUSION AND INTERCEPTION

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This paper considers capture of small particles on the surface of a much larger bubble by Brownian diffusion and interception induced by flow. The bubble is assumed to rise under the action of gravity, and the terminal rising velocity is determined for the bubble size typical of bubble flotation processes. The mechanism of particle transport to the surface of bubble is controlled by the ratio of particle (a) to bubble radius (A). The dominant transport mechanism changes from diffusion to interception as the size ratio delta(=a/A) increases above a certain critical value. Although the Marangoni effect caused by the adsorbed particles reduces the collection efficiency, the general features of transport mechanism are preserved when the tangential velocity is nonzero on the bubble surface. Specifically, the analysis shows that for a bubble collector with slip boundary the critical value follows delta(cr) proportional to A(-4/3), in contrast to the result delta(cr) proportional to A(-1) for a no-slip collector. In the diffusion-control region, the collection efficiency of a col lector with slip boundary decreases with increasing collector radius as A(-3/2), which is much slower than A(-2) for the case of a no-slip collector. On the other hand, in the interception-control region, the collection efficiency increases in proportion to the size ratio delta. In this limit, the efficiency of a collector with slip boundary is very large compared to the result for the case of a no-slip collector where the efficiency is only O(delta(2)). (C) 1995 Academic Press, Inc.
Publisher
ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS
Issue Date
1995-01
Language
English
Article Type
Article
Keywords

UNEQUAL VISCOUS DROPS; REYNOLDS-NUMBER FLOW; MOBILITY FUNCTIONS; STOKES-FLOW; MOTIONS; FORCES; DEPOSITION; INTERFACE; FLOTATION; RECOVERY

Citation

JOURNAL OF COLLOID AND INTERFACE SCIENCE, v.169, no.1, pp.125 - 134

ISSN
0021-9797
URI
http://hdl.handle.net/10203/12640
Appears in Collection
CBE-Journal Papers(저널논문)
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