Solution of the population balance equation using the sectional quadrature method of moments (SQMOM)
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SQMOM has the advantage of not requiring inversion of large-sized matrices and does not destroy the shape of the distribution like any MOM.
“and it has the great advantage of not requiring the inversion of large-sized matrices. Besides, the SQMOM does not destroy the shape of the distribution like any MOM.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [320]
Attarakih et al. [320] introduced SQMOM based on primary and secondary particles; primary particles allow reconstruction of the distribution, while secondary particles enable consideration of particle interaction phenomena such as splitting and aggregation.
“Attarakih et al. [320] introduced a novel framework to simulate particulate systems, based on the concept of primary and secondary particles. The former allow for the reconstruction of the distribution, while the latter enables consideration of particle interaction phenomena, such as splitting and aggregation. The method is called the sectional quadrature method of moments (SQMOM)”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [320]
SQMOM tested for splitting in a continuous vessel, aggregation in a batch vessel, and simultaneous splitting and aggregation in a batch vessel; numerical results are in excellent agreement with analytical solutions provided the number of primary and secondary particles is adequately chosen.
“The SQMOM has been tested for several cases i.e., splitting in a continuous vessel, aggregation in a batch vessel, and simultaneous splitting and aggregation in a batch vessel. The numerical results are in excellent agreement with the available analytical solutions [288,321,322] provided that the number of primary and secondary particles is adequately chosen.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [320]
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Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review
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Lage, P. L. C. (2011) · Computers & Chemical Engineering · doi:10.1016/j.compchemeng.2011.05.017 · Cited by 43 · see citing works
Attarakih, M. (2013) · Computers & Chemical Engineering · doi:10.1016/j.compchemeng.2012.08.001 · Cited by 25 · see citing works
Self-citation
- Authors
- Attarakih, M. M., Drumm, C., & Bart, H.-J.
- Affiliations
- Al-Balqa Applied University (JO)
- University of Kaiserslautern (DE)
- Corresponding author
- Attarakih, Menwer M.
- Venue
- Chemical Engineering Science
- Publisher
- Elsevier BV
- Published
- 2009-02
- Volume
- 64
- Issue
- 4
- Pages
- 742-752
- ISSN
- 0009-2509 (ISSN-L)
- OpenAlex
- W2082927006
- Cited by
- 141
- References
- 23
- Citations by year
- 2026: 6 · 2025: 3 · 2024: 6 · 2023: 3 · 2022: 8 · 2021: 10 · 2020: 7 · 2019: 13 · 2018: 8 · 2017: 6 · 2016: 14 · 2015: 13 · 2014: 6 · 2013: 13 · 2012: 10
- FWCI
- 4.57
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Chemical Engineering Science (publishedVersion)
- Topics
- Physical Sciences › Engineering › Computational Mechanics › Granular flow and fluidized beds
- Physical Sciences › Engineering › Ocean Engineering › Particle Dynamics in Fluid Flows
- Physical Sciences › Engineering › Biomedical Engineering › Fluid Dynamics and Mixing
- Keywords
- population balance equation, particle size distribution, particle breakage, particle aggregation, quadrature method of moments, particulate systems
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