A moment projection method for population balance dynamics with a shrinkage term

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• 作者：Shaohua Wu^a ; Edward K.Y. Yapp^b ; Jethro Akroyd^b ; Sebastian Mosbach^b ; Rong Xu^c ; Wenming Yang^a ; Markus Kraft^b ; ^c ; ^{mk306@cam.ac.uk}
• 关键词：Method of moments ; Shrinkage ; Oxidation ; Population balance equation
• 刊名：Journal of Computational Physics
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：330
• 期：Complete
• 页码：960-980
• 全文大小：1407 K
• 卷排序：330

文摘

A new method of moments for solving the population balance equation is developed and presented. The moment projection method (MPM) is numerically simple and easy to implement and attempts to address the challenge of particle shrinkage due to processes such as oxidation, evaporation or dissolution. It directly solves the moment transport equation for the moments and tracks the number of the smallest particles using the algorithm by Blumstein and Wheeler (1973) [41]. The performance of the new method is measured against the method of moments (MOM) and the hybrid method of moments (HMOM). The results suggest that MPM performs much better than MOM and HMOM where shrinkage is dominant. The new method predicts mean quantities which are almost as accurate as a high-precision stochastic method calculated using the established direct simulation algorithm (DSA).