A new analytical solution for solving the population balance equation in the continuum-slip regime

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	A new analytical solution for solving the population balance equation in the continuum-slip regime
	Yu MZ; Zhang XT; Jin GD(晋国栋); Lin JZ; Seipenbusch M
刊名	Journal of Aerosol Science
	2015-02
通讯作者邮箱	mecjzlin@public.zju.edu.cn
卷号	80 页码:1-10
关键词	Analytical solution Taylor expansion method of moments Population balance equation Continuum-slip regime
ISSN号	0021-8502
通讯作者	Lin, JZ (reprint author), Chinese Jiliang Univ, Dept Phys, Hangzhou 310028, Zhejiang, Peoples R China.
产权排序	[Yu, Mingzhou; Zhang, Xiaotong; Lin, Jianzhong] Chinese Jiliang Univ, Dept Phys, Hangzhou 310028, Zhejiang, Peoples R China; [Yu, Mingzhou; Jin, Guodong] Chinese Acad Sci, State Key Lab Nonlinear Mech, Beijing 100090, Peoples R China; [Seipenbusch, Martin] Karlsruhe Inst Technol, Inst Mech Proc Engn & Mech, D-76021 Karlsruhe, Germany
合作状况	国际
中文摘要	A new analytical solution is first proposed to solve the population balance equation due to Brownian coagulation in the continuum-slip regime. An assumption for a novel variable (g m(0)m(2)/m(1)(2), where m(0), m(1) and ma are the first three moments, respectively) is successfully applied in executing a separate variable method for ordinary differential equations of the Taylor expansion method of moments. The sectional method is selected as a reference to verify the new solution. The accuracy between the new solution and Lee et al. analytical solution (Lee et al., 1997, Journal of Colloid and Interface Science, 188, 486492) is mainly compared. The geometric standard deviation of number distribution for the new analytical solution is revealed to be limited to 1.6583. Within the valid range of the geometric standard deviation, the new analytical solution is confirmed to solve the population balance equation undergoing Brownian coagulation with the very nearly same accuracy as Lee et al. analytical solution. For the total particle number concentration, the new solution usually yields higher accuracy. The new solution and Lee et al. analytical solution approximately become one solution as the Knudsen number is smaller than 0.1000. The new solution has the potential to become a competitive analytical solution for solving population balance equation regarding its accuracy and very straightforward derivation. (C) 2014 Elsevier Ltd. All rights reserved.
学科主题	Engineering; Environmental Sciences & Ecology; Meteorology & Atmospheric Sciences
分类号	一类
收录类别	SCI ; EI
资助信息	Dr. Yu would like to thank the Alexander von Humboldt Foundation with No. 1136169 and the Opening fund of State Key Laboratory of NonlinearMechanics for financial support. The authors also would like to thank the joint supports of the National Natural Science Foundation of China with Nos. 11372299 and 11132008.
原文出处	http://dx.doi.org/10.1016/j.jaerosci.2014.10.007
语种	英语
WOS记录号	WOS:000349192900001
公开日期	2015-03-17
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/49632]
专题	力学研究所_非线性力学国家重点实验室
推荐引用方式 GB/T 7714	Yu MZ,Zhang XT,Jin GD,et al. A new analytical solution for solving the population balance equation in the continuum-slip regime[J]. Journal of Aerosol Science,2015,80:1-10.
APA	Yu MZ,Zhang XT,晋国栋,Lin JZ,&Seipenbusch M.(2015).A new analytical solution for solving the population balance equation in the continuum-slip regime.Journal of Aerosol Science,80,1-10.
MLA	Yu MZ,et al."A new analytical solution for solving the population balance equation in the continuum-slip regime".Journal of Aerosol Science 80(2015):1-10.