Asymptotic behavior of the Taylor-expansion method of moments for solving a coagulation equation for Brownian particles

作     者：Zhongli Chen Jianzhong Lin Mingzhou Yu 

作者机构：Zhejiang University China Jiliang University 

出 版 物：《Particuology》 (颗粒学报（英文版）)

年 卷 期：2014年第12卷第3期

页      面：124-129页

核心收录：

学科分类：081704[工学-应用化学] 07[理学] 0817[工学-化学工程与技术] 070304[理学-物理化学(含∶化学物理)] 08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0703[理学-化学] 0702[理学-物理学] 

基　　金：financially supported by the Major Program of National Natural Science Foundation of China(no.11132008) 

主　　题：Brownian particles Coagulation Size distribution Accuracy 

摘      要：The evolution equations of moments for the Brownian coagulation of nanoparticles in both continuum and free molecule regimes are analytically studied. These equations are derived using a Taylor-expansion technique. The self-preserving size distribution is investigated using a newly defined dimensionless parameter, and the asymptotic values for this parameter are theoretically determined. The dimensionless time required for an initial size distribution to achieve self-preservation is also derived in both regimes. Once the size distribution becomes self-preserving, the time evolution of the zeroth and second moments can be theoretically obtained, and it is found that the second moment varies linearly with time in the continuum regime. Equivalent equations, rather than the original ones from which they are derived, can be employed to improve the accuracy of the results and reduce the computational cost for Brownian coagulation in the continuum regime as well as the free molecule regime.