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Cited by 337Granular flow and fluidized bedsAdvanced Numerical Methods in Computational MathematicsParticle Dynamics in Fluid Flows

Numerical solution of the dynamic equation for particulate systems

Gelbard, Fred, Seinfeld, John H.·1978·Journal of Computational Physics
DOI 10.1016/0021-9991(78)90058-x
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  • Hounslow et al. [287] compared numerical results with analytical solutions of Gelbard and Seinfeld [288] for constant and size-dependent coalescence kernels, then with experimental data, finding very good agreement.

    “First, they compared numerical results with the analytical solutions provided by Gelbard and Seinfeld [288] for the case of a constant coalescence and a size-dependent coalescence kernel. Afterward, they confronted the numerical results with experimental data concerning particle size and moment distributions, finding a very good agreement.”

    From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [288]

  • QMOM used by Marchisio et al. [303] to model growth of crystal size with size-independent and size-dependent growth rates using realistic aggregation kernels was validated by comparing with analytical solutions and Monte-Carlo simulations.

    “The QMOM has been used by Marchisio et al. [303] to model the growth of crystal size with size-independent and size-dependent growth rates utilizing realistic aggregation kernels. The method has been validated by comparing the results with analytical solutions [288] and with results obtained with Monte-Carlo simulations.”

    From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [288]

  • 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 [288]

  • EQMOM numerical results compare favorably with available analytical ones for PBE considering aggregation, breakage, condensation, and evaporation.

    “The EQMOM has been used to solve a PBE considering aggregation, breakage, condensation, and evaporation terms, and the numerical results compare favorably with the available analytical ones [288,293,301,318,322].”

    From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [288]

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Authors
Gelbard, F., & Seinfeld, J. H.
Affiliations
California Institute of Technology (US)
ORCID
Venue
Journal of Computational Physics
Publisher
Elsevier BV
Published
1978-09
Volume
28
Issue
3
Pages
357-375
ISSN
0021-9991 (ISSN-L)
DOI
10.1016/0021-9991(78)90058-x
OpenAlex
W2058745003
Cited by
337
References
21
Citations by year
2026: 4 · 2025: 8 · 2024: 2 · 2023: 3 · 2022: 9 · 2021: 8 · 2020: 24 · 2019: 6 · 2018: 3 · 2017: 7 · 2016: 7 · 2015: 7 · 2014: 9 · 2013: 10 · 2012: 10
FWCI
3.49
Type
journal article
Language
en
Open access
closed
Licence
www.elsevier.com/tdm/userlicense/1.0/ (tdm)
Locations
Journal of Computational Physics (publishedVersion)
Funders
National Science Foundation
Topics
  • Physical Sciences › Engineering › Computational Mechanics › Granular flow and fluidized beds
  • Physical Sciences › Engineering › Computational Mechanics › Advanced Numerical Methods in Computational Mathematics
  • Physical Sciences › Engineering › Ocean Engineering › Particle Dynamics in Fluid Flows
Keywords
population balance equation, particulate systems, collocation method, finite element analysis, particle size distribution, numerical accuracy, asymptotic solutions, particle dynamics simulation

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