An analytical solution for the population balance equation using a moment method | |
Seipenbusch, Martin3; Lin, Jianzhong2; Yu, Mingzhou1,2; Cao, Junji1 | |
刊名 | PARTICUOLOGY
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2015-02-01 | |
卷号 | 18页码:194-200 |
关键词 | Self-preserving Aerosols Analytical Solution Taylor-expansion Method Of Moments Population Balance Equation |
ISSN号 | 1674-2001 |
DOI | 10.1016/j.partic.2014.06.006 |
文献子类 | Article |
英文摘要 | Brownian coagulation is the most important inter-particle mechanism affecting the size distribution of aerosols. Analytical solutions to the governing population balance equation (PBE) remain a challenging issue. In this work, we develop an analytical model to solve the PBE under Brownian coagulation based on the Taylor-expansion method of moments. The proposed model has a clear advantage over conventional asymptotic models in both precision and efficiency. We first analyze the geometric standard deviation (GSD) of aerosol size distribution. The new model is then implemented to determine two analytic solutions, one with a varying GSD and the other with a constant GSD. The varying solution traces the evolution of the size distribution, whereas the constant case admits a decoupled solution for the zero and second moments. Both solutions are confirmed to have the same precision as the highly reliable numerical model, implemented by the fourth-order Runge-Kutta algorithm, and the analytic model requires significantly less computational time than the numerical approach. Our results suggest that the proposed model has great potential to replace the existing numerical model, and is thus recommended for the study of physical aerosol characteristics, especially for rapid predictions of haze formation and evolution. (C) 2014 Chinese Society of Particuology and Institute of Process Engineering, Chinese Academy of Sciences. Published by Elsevier B.V. All rights reserved. |
WOS关键词 | Large-eddy-simulation ; Brownian Coagulation ; Quadrature Method ; Size Distribution ; Asymptotic-behavior ; Expansion Method ; Temom Model ; Particles ; Regime ; Nanoparticles |
WOS研究方向 | Engineering ; Materials Science |
语种 | 英语 |
出版者 | ELSEVIER SCIENCE INC |
WOS记录号 | WOS:000349730200023 |
内容类型 | 期刊论文 |
源URL | [http://ir.ieecas.cn/handle/361006/9391] ![]() |
专题 | 地球环境研究所_粉尘与环境研究室 |
通讯作者 | Lin, Jianzhong |
作者单位 | 1.Chinese Acad Sci, Inst Earth Environm, Xian 710075, Peoples R China 2.China Jiliang Univ, Dept Phys, Hangzhou 310028, Peoples R China 3.Karlsruhe Inst Technol, Inst Mech Proc Engn & Mech, D-76021 Karlsruhe, Germany |
推荐引用方式 GB/T 7714 | Seipenbusch, Martin,Lin, Jianzhong,Yu, Mingzhou,et al. An analytical solution for the population balance equation using a moment method[J]. PARTICUOLOGY,2015,18:194-200. |
APA | Seipenbusch, Martin,Lin, Jianzhong,Yu, Mingzhou,&Cao, Junji.(2015).An analytical solution for the population balance equation using a moment method.PARTICUOLOGY,18,194-200. |
MLA | Seipenbusch, Martin,et al."An analytical solution for the population balance equation using a moment method".PARTICUOLOGY 18(2015):194-200. |
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