Valioulis, I. A. and List, E. J. and Pearson, H. J. (1984) Monte Carlo simulation of coagulation in discrete particle-size distributions. Part 2. Interparticle forces and the quasi-stationary equilibrium hypothesis. Journal of Fluid Mechanics, 143 . pp. 387-411. ISSN 0022-1120. doi:10.1017/S0022112084001403. https://resolver.caltech.edu/CaltechAUTHORS:20120709-080438815
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Abstract
Hunt (1982) and Friedlander (1960a, b) used dimensional analysis to derive expressions for the steady-state particle-size distribution in aerosols and hydrosols. Their results were supported by the Monte Carlo simulation of a non-interacting coagulating population of suspended spherical particles developed by Pearson, Valioulis & List (1984). Here the realism of the Monte Carlo simulation is improved by accounting for the modification to the coagulation rate caused by van der Waals', electrostatic and hydrodynamic forces acting between particles. The results indicate that the major hypothesis underlying the dimensional reasoning, that is, collisions between particles of similar size are most important in determining the shape of the particle size distribution, is valid only for shear-induced coagulation. It is shown that dimensional analysis cannot, in general, be used to predict equilibrium particle-size distributions, mainly because of the strong dependence of the interparticle force on the absolute and relative size of the interacting particles.
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| Additional Information: | © 1984 Cambridge University Press. Received August 8 1983. Revised February 20 1984. The work described herein is taken, in most part, from the Ph.D. thesis of I. A. Valioulis submitted to the California Institute of Technology, March 1983. The authors gratefully acknowledge the support of the Office of Ocean Assessment NOAA (NA80RA-D0-0054 and NA82RAD00004) and Sea Grant NOAA (NA 80RAA-D-00120). | |||||||||
| Group: | Environmental Quality Laboratory | |||||||||
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| DOI: | 10.1017/S0022112084001403 | |||||||||
| Record Number: | CaltechAUTHORS:20120709-080438815 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20120709-080438815 | |||||||||
| Official Citation: | I. A. Valioulis, E. J. List and H. J. Pearson (1984). Monte Carlo simulation of coagulation in discrete particle-size distributions. Part 2. Interparticle forces and the quasi-stationary equilibrium hypothesis. Journal of Fluid Mechanics, 143, pp 387-411 doi:10.1017/S0022112084001403 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 32295 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Ruth Sustaita | |||||||||
| Deposited On: | 09 Jul 2012 18:18 | |||||||||
| Last Modified: | 09 Nov 2021 21:26 |
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