收稿日期: 2017-05-22
网络出版日期: 2019-05-05
基金资助
国家自然科学基金资助项目(11332006,11272196)
Monte Carlo simulation for mixing degree in two-component system
Received date: 2017-05-22
Online published: 2019-05-05
姜志, 沈杰, 卢志明 . 两组分颗粒系统中凝并混合程度问题的多重蒙特卡罗模拟[J]. 上海大学学报(自然科学版), 2019 , 25(2) : 245 -255 . DOI: 10.12066/j.issn.1007-2861.1972
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
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