Journal of Shanghai University(Natural Science Edition) ›› 2019, Vol. 25 ›› Issue (2): 245-255.doi: 10.12066/j.issn.1007-2861.1972

• Research Articles • Previous Articles     Next Articles

Monte Carlo simulation for mixing degree in two-component system

JIANG Zhi, SHEN Jie, LU Zhiming()   

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University,Shanghai 200072, China
  • Received:2017-05-22 Online:2019-04-30 Published:2019-05-05
  • Contact: Zhiming LU E-mail:zmlu@shu.edu.cn

Abstract:

Multi-component aggregation has important applications in areas such as dispersion of active ingredients in a pharmaceutical process, formation of raindroplets, and crystallization. In this paper, a population balance equation with composition dependent kernel is numerically simulated using multiple Monte Carlo methods. The results show that the moments of a two-component system have a scaling behavior similar to a single component system regardless of the kernel type. While the degree of mixing reaches a constant value and the segregation index decreases by $1/\overline {v}$, the system approaches a self-preserving state. A fitted function of the stable value of the power density of excess component A on collision efficiency is derived.

Key words: two-component, aggregation, composition dependent kernel, mixing degree

CLC Number: