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

Abstract

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) . 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).

Authors:
 [1]; ; ;  [2];  [3];  [1];  [2];  [4]
  1. Department of Mechanical Engineering, National University of Singapore, Engineering Block EA, Engineering Drive 1, 117576 (Singapore)
  2. Department of Chemical Engineering and Biotechnology, University of Cambridge, New Museums Site, Pembroke Street, Cambridge, CB2 3RA (United Kingdom)
  3. School of Chemical and Biomedical Engineering, Nanyang Technological University, 62 Nanyang Drive, 637459 (Singapore)
  4. (Singapore)
Publication Date:
OSTI Identifier:
22622252
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Computational Physics; Journal Volume: 330; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACCURACY; ALGORITHMS; BALANCES; COMPUTERIZED SIMULATION; DISSOLUTION; EQUATIONS; EVAPORATION; MOMENTS METHOD; OXIDATION; PARTICLE TRACKS; PARTICLES; PERFORMANCE; SHRINKAGE; STOCHASTIC PROCESSES; TRANSPORT THEORY

Citation Formats

Wu, Shaohua, Yapp, Edward K.Y., Akroyd, Jethro, Mosbach, Sebastian, Xu, Rong, Yang, Wenming, Kraft, Markus, E-mail: mk306@cam.ac.uk, and School of Chemical and Biomedical Engineering, Nanyang Technological University, 62 Nanyang Drive, 637459. A moment projection method for population balance dynamics with a shrinkage term. United States: N. p., 2017. Web. doi:10.1016/J.JCP.2016.10.030.
Wu, Shaohua, Yapp, Edward K.Y., Akroyd, Jethro, Mosbach, Sebastian, Xu, Rong, Yang, Wenming, Kraft, Markus, E-mail: mk306@cam.ac.uk, & School of Chemical and Biomedical Engineering, Nanyang Technological University, 62 Nanyang Drive, 637459. A moment projection method for population balance dynamics with a shrinkage term. United States. doi:10.1016/J.JCP.2016.10.030.
Wu, Shaohua, Yapp, Edward K.Y., Akroyd, Jethro, Mosbach, Sebastian, Xu, Rong, Yang, Wenming, Kraft, Markus, E-mail: mk306@cam.ac.uk, and School of Chemical and Biomedical Engineering, Nanyang Technological University, 62 Nanyang Drive, 637459. Wed . "A moment projection method for population balance dynamics with a shrinkage term". United States. doi:10.1016/J.JCP.2016.10.030.
@article{osti_22622252,
title = {A moment projection method for population balance dynamics with a shrinkage term},
author = {Wu, Shaohua and Yapp, Edward K.Y. and Akroyd, Jethro and Mosbach, Sebastian and Xu, Rong and Yang, Wenming and Kraft, Markus, E-mail: mk306@cam.ac.uk and School of Chemical and Biomedical Engineering, Nanyang Technological University, 62 Nanyang Drive, 637459},
abstractNote = {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) . 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).},
doi = {10.1016/J.JCP.2016.10.030},
journal = {Journal of Computational Physics},
number = ,
volume = 330,
place = {United States},
year = {Wed Feb 01 00:00:00 EST 2017},
month = {Wed Feb 01 00:00:00 EST 2017}
}