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Cited by 524Granular flow and fluidized bedsParticle Dynamics in Fluid FlowsFluid Dynamics and Mixing

Quadrature method of moments for aggregation-breakage processes

Marchisio, Daniele L., Vigil, R.Dennis, Fox, Rodney O.·2003·Journal of Colloid and Interface Science
DOI 10.1016/s0021-9797(02)00054-1
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Abstract

Investigation of particulate systems often requires the solution of a population balance, which is a continuity statement written in terms of the number density function. In turn, the number density function is defined in terms of an internal coordinate (e.g., particle length, particle volume) and it generates integral and derivative terms. Different methods exist for numerically solving the population balance equation. For many processes of industrial significance, due to the strong coupling between particle interactions and fluid dynamics, the population balance must be solved as part of a computational fluid dynamics (CFD) simulation. Such an approach requires the addition of a large number of scalars and the associated transport equations. This increases the CPU time required for the simulation, and thus it is clear that it is very important to use as few scalars as possible. In this work the quadrature method of moments (QMOM) is used. The QMOM has already been validated for crystal growth and aggregation; here the method is extended to include breakage. QMOM performance is tested for 10 different cases in which the competition between aggregation and breakage leads to asymptotic solutions.

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  • Marchisio et al. [304] used QMOM to model particle breakage, solving the governing PBE for ten cases with different combinations of aggregation and breakage kernels, fragment distribution functions, and initial conditions.

    “In another contribution, Marchisio et al. [304] used the QMOM to model also particle breakage. The governing PBE has been solved utilizing the QMOM for ten different cases with different combinations of aggregation and breakage kernels, fragment distribution functions, and initial conditions.”

    From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [304]

  • 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 [304]

  • 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 [304]

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Authors
Marchisio, D. L., Vigil, R. D., & Fox, R. O.
Affiliations
Iowa State University (US)
Corresponding author
Marchisio, Daniele L.
ORCID
Venue
Journal of Colloid and Interface Science
Publisher
Elsevier BV
Published
2003-02
Volume
258
Issue
2
Pages
322-334
ISSN
0021-9797 (ISSN-L)
DOI
10.1016/s0021-9797(02)00054-1
OpenAlex
W2094410628
Cited by
524
References
42
Citations by year
2026: 19 · 2025: 19 · 2024: 12 · 2023: 21 · 2022: 21 · 2021: 25 · 2020: 17 · 2019: 36 · 2018: 32 · 2017: 31 · 2016: 29 · 2015: 26 · 2014: 31 · 2013: 28 · 2012: 17
FWCI
20.66
Type
journal article
Language
en
Open access
closed
Licence
www.elsevier.com/tdm/userlicense/1.0/ (tdm)
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 › 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
quadrature method of moments, population balance equation, aggregation, breakage, particulate systems, number density function, computational fluid dynamics, multiphase flow, scalar transport, asymptotic solutions

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