Numerical solution of the spatially distributed population balance equation describing the hydrodynamics of interacting liquid-liquid dispersions

Attarakih, Menwer M.; Bart, Hans-Jörg; Faqir, Naim M.

doi:10.1016/j.ces.2004.03.005

Cited by 93Fluid Dynamics and MixingFluid Dynamics and Heat TransferInnovative Microfluidic and Catalytic Techniques Innovation

Numerical solution of the spatially distributed population balance equation describing the hydrodynamics of interacting liquid-liquid dispersions

Attarakih, Menwer M., Bart, Hans-Jörg, Faqir, Naim M.·2004·Chemical Engineering Science

DOI 10.1016/j.ces.2004.03.005

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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 [321]

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Authors: Attarakih, M. M., Bart, H.-J., & Faqir, N. M.
Affiliations: University of Kaiserslautern (DE)
University of Jordan (JO)
Corresponding author: Bart, Hans-Jörg
ORCID: Attarakih, Menwer M.
Bart, Hans-Jörg
Faqir, Naim M.
Venue: Chemical Engineering Science
Publisher: Elsevier BV
Published: 2004-06
Volume: 59
Issue: 12
Pages: 2567-2592
ISSN: 0009-2509 (ISSN-L)
DOI: 10.1016/j.ces.2004.03.005
OpenAlex: W2172285673
Cited by: 93
References: 90
Citations by year: 2026: 1 · 2025: 4 · 2024: 4 · 2023: 1 · 2022: 4 · 2021: 4 · 2020: 1 · 2019: 3 · 2018: 2 · 2017: 1 · 2016: 7 · 2015: 1 · 2014: 6 · 2013: 6 · 2012: 4
FWCI: 5.95
Type: journal article
Language: en
Open access: closed
Licence: www.elsevier.com/tdm/userlicense/1.0/ (tdm)
www.elsevier.com/legal/tdmrep-license (tdm)
Locations: Chemical Engineering Science (publishedVersion)
Topics: Physical Sciences › Engineering › Biomedical Engineering › Fluid Dynamics and Mixing
Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Heat Transfer
Physical Sciences › Engineering › Biomedical Engineering › Innovative Microfluidic and Catalytic Techniques Innovation
Keywords: population balance equation, liquid-liquid dispersions, droplet breakup, droplet coalescence, axial dispersion, partial integro-differential equations, rotating disc contactor, upwind schemes, implicit time discretization, droplet size distribution, hydrodynamics

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Numerical solution of the spatially distributed population balance equation describing the hydrodynamics of interacting liquid-liquid dispersions

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