Extension of moment projection method to the fragmentation process

The method of moments is a simple but efficient method of solving the population balance equation which describes particle dynamics. Recently, the moment projection method (MPM) was proposed and validated for particle inception, coagulation, growth and, more importantly, shrinkage; here the method i...

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Main Authors: Wu, Shaohua, Yapp, Edward K. Y., Akroyd, Jethro, Mosbach, Sebastian, Xu, Rong, Yang, Wenming, Kraft, Markus
Other Authors: School of Chemical and Biomedical Engineering
Format: Article
Language:English
Published: 2018
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Online Access:https://hdl.handle.net/10356/88018
http://hdl.handle.net/10220/44507
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-880182023-12-29T06:48:56Z Extension of moment projection method to the fragmentation process Wu, Shaohua Yapp, Edward K. Y. Akroyd, Jethro Mosbach, Sebastian Xu, Rong Yang, Wenming Kraft, Markus School of Chemical and Biomedical Engineering Fragmentation Breakage The method of moments is a simple but efficient method of solving the population balance equation which describes particle dynamics. Recently, the moment projection method (MPM) was proposed and validated for particle inception, coagulation, growth and, more importantly, shrinkage; here the method is extended to include the fragmentation process. The performance of MPM is tested for 13 different test cases for different fragmentation kernels, fragment distribution functions and initial conditions. Comparisons are made with the quadrature method of moments (QMOM), hybrid method of moments (HMOM) and a high-precision stochastic solution calculated using the established direct simulation algorithm (DSA) and advantages of MPM are drawn. NRF (Natl Research Foundation, S’pore) Accepted version 2018-03-05T08:34:59Z 2019-12-06T16:54:13Z 2018-03-05T08:34:59Z 2019-12-06T16:54:13Z 2017 Journal Article Wu, S., Yapp, E. K. Y., Akroyd, J., Mosbach, S., Xu, R., Yang, W., et al. (2017). Extension of moment projection method to the fragmentation process. Journal of Computational Physics, 335, 516-534. 0021-9991 https://hdl.handle.net/10356/88018 http://hdl.handle.net/10220/44507 10.1016/j.jcp.2017.01.045 en Journal of Computational Physics © 2017 Elsevier Ltd. This is the author created version of a work that has been peer reviewed and accepted for publication by Journal of Computational Physics, Elsevier Ltd. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1016/j.jcp.2017.01.045]. 31 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Fragmentation
Breakage
spellingShingle Fragmentation
Breakage
Wu, Shaohua
Yapp, Edward K. Y.
Akroyd, Jethro
Mosbach, Sebastian
Xu, Rong
Yang, Wenming
Kraft, Markus
Extension of moment projection method to the fragmentation process
description The method of moments is a simple but efficient method of solving the population balance equation which describes particle dynamics. Recently, the moment projection method (MPM) was proposed and validated for particle inception, coagulation, growth and, more importantly, shrinkage; here the method is extended to include the fragmentation process. The performance of MPM is tested for 13 different test cases for different fragmentation kernels, fragment distribution functions and initial conditions. Comparisons are made with the quadrature method of moments (QMOM), hybrid method of moments (HMOM) and a high-precision stochastic solution calculated using the established direct simulation algorithm (DSA) and advantages of MPM are drawn.
author2 School of Chemical and Biomedical Engineering
author_facet School of Chemical and Biomedical Engineering
Wu, Shaohua
Yapp, Edward K. Y.
Akroyd, Jethro
Mosbach, Sebastian
Xu, Rong
Yang, Wenming
Kraft, Markus
format Article
author Wu, Shaohua
Yapp, Edward K. Y.
Akroyd, Jethro
Mosbach, Sebastian
Xu, Rong
Yang, Wenming
Kraft, Markus
author_sort Wu, Shaohua
title Extension of moment projection method to the fragmentation process
title_short Extension of moment projection method to the fragmentation process
title_full Extension of moment projection method to the fragmentation process
title_fullStr Extension of moment projection method to the fragmentation process
title_full_unstemmed Extension of moment projection method to the fragmentation process
title_sort extension of moment projection method to the fragmentation process
publishDate 2018
url https://hdl.handle.net/10356/88018
http://hdl.handle.net/10220/44507
_version_ 1787136598274473984