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Brownian Coagulation of Fractal Agglomerates: Analytical Solution Using the Log-Normal Size Distribution Assumption

✍ Scribed by S.H. Park; R. Xiang; K.W. Lee

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 93 KB
Volume: 231
Category: Article
ISSN: 0021-9797
DOI: 10.1006/jcis.2000.7102

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✦ Synopsis

An analytical solution to Brownian coagulation of fractal agglomerates in the continuum regime that provides time evolution of the particle size distribution is presented. The theoretical analysis is based on representation of the size distribution of coagulating agglomerates with a time-dependent log-normal size distribution function and employs the method of moments together with suitable simplifications. The results are found in the form that extends the spherical particle solution previously obtained by K. W. Lee (J. Colloid Interface Sci. 92, 315-325 ( 1983)). The results show that the mass fractal dimension has a significant effect on the size distribution evolution during coagulation. When the obtained solution was compared with numerical results, good agreement was found. The self-preserving size distribution of nonspherical agglomerates is discussed.

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Change in Particle Size Distribution of Fractal Agglomerates during Brownian Coagulation in the Free-Molecule Regime

✍ S.H. Park; K.W. Lee 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 100 KB

Time evolution of particle size distribution of fractal agglomerates undergoing Brownian coagulation in the free-molecule regime was investigated. A simple analytical solution for the size distribution change was obtained by using the assumption that the size distribution during the coagulation proc