| A new analytical solution for agglomerate growth undergoing Brownian coagulation | |
Yu MZ1,2; Liu YY1 ; Jin GD(晋国栋)2; Jin HH3
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| 发表期刊 | Applied Mathematical Modelling
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| 2016-05 | |
| 卷号 | 40页码:5497-5509 |
| ISSN | 0307-904X |
| 摘要 | We proposed a new analytical solution for a population balance equation for fractal-like agglomerates. The new analytical solution applies to agglomerates with any mass fractal dimensions. Two well-known numerical methods, including the Taylor-series expansion method of moments and the quadrature method of moments, were selected as references. The reliability of the analytical solution with three mass fractal dimensions of 1.0, 2.0, and 3.0 in the continuum-slip regime was verified. The accuracy of the new analytical solution is affected by both the Knudsen number and the mass fractal dimension. The new analytical solution can be further improved in accuracy by introducing a correction factor to the originally derived mathematical formula. The new analytical solution was finally confirmed to possess potential for replacing the numerical solution in the continuum-slip regime. (C) 2016 Elsevier Inc. All rights reserved. |
| 关键词 | Agglomerate Population Balance Equation Analytical Solution Brownian Coagulation Continuum-slip Regime |
| DOI | 10.1016/j.apm.2016.01.009 |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000375511900023 |
| 项目资助者 | Zhejiang Provincial Natural Science Foundation of China LQ15A020002 LQ16A020002 Sino-German Research Project GZ971 State Key Laboratory of Nonlinear Mechanics National Natural Science Foundation of China 11372299 51390490 |
| 课题组名称 | LNM湍流 |
| 论文分区 | 一类 |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://dspace.imech.ac.cn/handle/311007/59678 |
| 专题 | 非线性力学国家重点实验室 |
| 作者单位 | 1.China Jiliang University 2.中国科学院力学研究所 3.Zhejiang University |
| 推荐引用方式 GB/T 7714 | Yu MZ,Liu YY,Jin GD,et al. A new analytical solution for agglomerate growth undergoing Brownian coagulation[J]. Applied Mathematical Modelling,2016,40:5497-5509. |
| APA | Yu MZ,Liu YY,Jin GD,&Jin HH.(2016).A new analytical solution for agglomerate growth undergoing Brownian coagulation.Applied Mathematical Modelling,40,5497-5509. |
| MLA | Yu MZ,et al."A new analytical solution for agglomerate growth undergoing Brownian coagulation".Applied Mathematical Modelling 40(2016):5497-5509. |
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| A New analytical sol（2081KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | 浏览 下载 | |
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