Droplet Growth Due to Brownian, Gravitational, or Thermocapillary Motion and Coalescence in Dilute Dispersions
✍ Scribed by Hua Wang; Robert H. Davis
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 560 KB
- Volume
- 159
- Category
- Article
- ISSN
- 0021-9797
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✦ Synopsis
The time cvolution of drop size distributions in dilute, homogeneous dispersions was analyzed by solving population dynamics equations which account for the cffects of hydrodynamic interactions on the collision rates of the drops. The collision mechanisms studied individually include Brownian motion, thermocapillary migration, and gravity sedimentation. It is shown that hydrodynamic interactions greatly reduce the predicted rates of drop growth in dispersions. The growth rates are shown to decrease with increasing drop viscosity and/or thermal conductivity due to increasing hydrodynamic interactions. For Brownian coalescence, the results for long times are in good agreement with the predictions of a similarity solution, wherens no similarity solution exists for gravitational and thermocapillary coalescence. For thermocapillary-induced coalescence of highly conducting drops, there is a region in parameter space in which drop collisions are prevented by thermocapillary repulsion, and this leads to slow growth and the evolution of drop-size distributions with long tails of small drops. of 1993 Academic Press. Inc.