Extended method of moment for general population balance models including size dependent growth rate, aggregation and breakage kernels
Extended method of moment for general population balance models including size dependent growth rate, aggregation and breakage kernels
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DOI：
10.1016/j.compchemeng.2013.04.017
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发表时间：
2013-09
期刊：
影响因子：
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通讯作者：
A. Falola;A. Borissova;X. Wang
中科院分区：
文献类型：
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作者：
A. Falola;A. Borissova;X. Wang
在求解人口平衡方程的各种方法中，基于矩的方法是最成功和最流行的。基于矩的方法已经证明了诸如减少计算工作量的优点，特别是对于将群体平衡（PB）模拟与计算流体动力学（CFD）耦合的应用。然而，这些方法有两个主要缺点：不能直接得到数量密度，并且局限于只考虑与大小无关的生长表达和某些断裂和聚集核的系统模型。本文提出了一种扩展的标准矩量法（SMOM），扩展的矩量法（EMOM），它不仅允许在大多数情况下直接预测的数量密度，但也使其适用于系统的尺寸依赖增长和任何颗粒聚集和破碎的内核。该方法的说明和测试参考案例研究，在文献中研究系统。
Among the various methods for the solution of population balances (PB) equations, the moments based methods are some of the most successful and popular. Moment based methods have demonstrated advantages such as reduced computational effort especially for applications that couple population balance (PB) simulation with computational fluid dynamics (CFD). The methods, however, suffers from two main drawbacks: the inability to yield the number density directly and limitation to system models that only consider size independent growth expression and certain breakage and aggregation kernels. This article presents an extension to the standard MOM (SMOM), the extended method of moment (EMOM), which not only allows the prediction of the number density directly in most cases, but also makes it applicable to systems with size dependent growth and any particle aggregation and breakage kernels. The method is illustrated and tested by reference to case studies that were well studied systems in the literature.