Park SH, Xiang R, Lee KW
Department of Environmental Science and Engineering, Kwangju Institute of Science and Technology, 1 Oryong-dong, Puk-gu, Kwangju, 500-712, Korea
J Colloid Interface Sci. 2000 Nov 1;231(1):129-135. doi: 10.1006/jcis.2000.7102.
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. Copyright 2000 Academic Press.
本文给出了连续区域内分形团聚体布朗凝聚的解析解，该解给出了粒径分布的时间演化。理论分析基于用随时间变化的对数正态粒径分布函数来表示凝聚团聚体的粒径分布，并采用矩量法及适当简化。结果以扩展了K. W. Lee（《胶体与界面科学杂志》92, 315 - 325 (1983)）先前得到的球形颗粒解的形式给出。结果表明，质量分形维数对凝聚过程中的粒径分布演化有显著影响。将所得解与数值结果比较时，发现吻合良好。文中还讨论了非球形团聚体的自保持粒径分布。版权所有2000年学术出版社。
