Approximate Population Balance Equations for Aggregation–Breakage Processes
Abstract
A number of approximate methods for modeling aggregation of particulate suspensions have been extended to simulate breakup as well and have been tested by comparison with rigorous solutions for conditions representative of most aggregation-fragmentation processes. The simplest methods, based on a geometric discretization with size ratio equal to two, can calculate satisfactorily the average values of the population for particularly well-conditioned situations only and, even in those cases, are not capable of predicting the shape of the particle size distribution. Therefore more complex methods are usually required, capable of using denser size discretization. The characteristics of these models and the guidelines for their choice are discussed in the paper, by considering their accuracy, ability to produce error estimates, ease of implementation and speed. Copyright 2000 Academic Press.
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The main advantage of QMOM over CM is that the number of scalars required to solve the PBE to obtain results with the same accuracy is much lower.
“Also in this circumstance, the main advantage of the QMOM over the CM is that the number of scalars required to solve the PBE to obtain results with the same accuracy is much lower.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [305]
QMOM can track all moments with a small error, while CM is only able to preserve two moments of the PSD.
“Results show that the QMOM can track all the moments with a small error, while the CM is only able to preserve two of the moments of the PSD.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [305]
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- Authors
- Vanni, M.
- Affiliations
- Politecnico di Torino (IT)
- Corresponding author
- Vanni, Marco
- ORCID
- Vanni, Marco
- Venue
- Journal of Colloid and Interface Science
- Publisher
- Elsevier BV
- Published
- 2000-01
- Volume
- 221
- Issue
- 2
- Pages
- 143-160
- ISSN
- 0021-9797 (ISSN-L)
- OpenAlex
- W2089579600
- Cited by
- 244
- References
- 26
- Citations by year
- 2026: 5 · 2025: 7 · 2024: 6 · 2023: 3 · 2022: 14 · 2021: 7 · 2020: 14 · 2019: 13 · 2018: 9 · 2017: 13 · 2016: 7 · 2015: 7 · 2014: 12 · 2013: 12 · 2012: 5
- FWCI
- 10.20
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Colloid and Interface Science (publishedVersion)
- PubMed (publishedVersion)
- PORTO@Iris (submittedVersion)
- PORTO Publications Open Repository TOrino (Politecnico di Torino) (submittedVersion)
- Topics
- Physical Sciences › Environmental Science › Water Science and Technology › Coagulation and Flocculation Studies
- Physical Sciences › Engineering › Ocean Engineering › Particle Dynamics in Fluid Flows
- Physical Sciences › Engineering › Computational Mechanics › Granular flow and fluidized beds
- Keywords
- population balance equation, aggregation, breakup, fragmentation, particle suspensions, particle size distribution, approximation methods, error estimates
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