Adjustable discretized population balance for growth and aggregation
Abstract
Abstract The discretized population balance (DPB) of Hounslow et al. (1988) is extended to allow the use of an adjustable discretization of the size domain of the form νi+/ν1=2 1/q (where q ≥ 1 and is an integer). All the advantages of Hounslow et al.'s original work are retained: the zeroth and third moments of the particle‐size distribution are correctly predicted, and the DPB is simple to solve with no integration within each size interval. The predicted and analytical particle size distributions are in excellent agreement for the cases of nucleation and growth and aggregation alone in batch and in continuous vessels. High‐order moments and self‐preserving particle‐size distributions are accurately predicted when q ≥ 4.
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Lister et al. [289] extended and improved Hounslow et al. [287] using an adjustable discretization of the domain size of the form r_{i+1}/r_i = 2^{1/q}.
“Lister et al. [289] extended and improved the previous work of Hounslow et al. [287] using an adjustable discretization of the domain size, that assumes the form of r i + 1 / r i = 2 1 q .”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [289]
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A discretized population balance for nucleation, growth, and aggregation
Hounslow, M. J., Ryall, R. L., & Marshall, V. R. (1988) · AIChE Journal · doi:10.1002/aic.690341108 · Cited by 995 · see citing works
Self-citationTheory of Particulate Processes
(1988) · Elsevier eBooks · doi:10.1016/b978-0-12-579652-1.x5001-7 · Cited by 760 · see citing works
Simulation of multicomponent aerosol dynamics
Gelbard, F., & Seinfeld, J. H. (1980) · Journal of Colloid and Interface Science · doi:10.1016/0021-9797(80)90587-1 · Cited by 446 · see citing works
Numerical solution of the dynamic equation for particulate systems
Gelbard, F., & Seinfeld, J. H. (1978) · Journal of Computational Physics · doi:10.1016/0021-9991(78)90058-x · Cited by 337 · see citing works
Landgrebe, J. D., & Pratsinis, S. E. (1990) · Journal of Colloid and Interface Science · doi:10.1016/0021-9797(90)90445-t · Cited by 287 · see citing works
Marchal, P., David, R., Klein, J. P., & Villermaux, J. (1988) · Chemical Engineering Science · doi:10.1016/0009-2509(88)87126-4 · Cited by 257 · see citing works
A discretized population balance for continuous systems at steady state
Hounslow, M. J. (1990) · AIChE Journal · doi:10.1002/aic.690360113 · Cited by 181 · see citing works
Self-citationAggregation and gelation—I. Analytical solutions for CST and batch operation
Smit, D. J., Hounslow, M. J., & Paterson, W. R. (1994) · Chemical Engineering Science · doi:10.1016/0009-2509(94)80009-x · Cited by 85 · see citing works
Self-citationPELLETIZING KINETICS AND SIMULATION OF FULL SCALE BALLING CIRCUITS.
Batterham, R., Hall, J., & Barton, G. J. (1981) · Cited by 74 · see citing works
Zachariah, M. R., Chin, D., SEMERJIAN, H. G., et al. (1989) · Applied Optics · doi:10.1364/ao.28.000530 · Cited by 60 · see citing works
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Marchisio, D. L., Pikturna, J. T., Fox, R. O., Vigil, R. D., & Barresi, A. A. (2003) · AIChE Journal · doi:10.1002/aic.690490517 · Cited by 461 · see citing works
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- Authors
- Lister, J. D., Smit, D. J., & Hounslow, M. J.
- Affiliations
- University of Cambridge (GB)
- Corresponding author
- Hounslow, M. J.
- ORCID
- Hounslow, M. J.
- Venue
- AIChE Journal
- Publisher
- Wiley
- Published
- 1995-03
- Volume
- 41
- Issue
- 3
- Pages
- 591-603
- ISSN
- 0001-1541 (ISSN-L)
- 1547-5905
- OpenAlex
- W2144599279
- Cited by
- 366
- References
- 10
- Citations by year
- 2026: 8 · 2025: 6 · 2024: 11 · 2023: 10 · 2022: 13 · 2021: 8 · 2020: 17 · 2019: 21 · 2018: 10 · 2017: 6 · 2016: 13 · 2015: 17 · 2014: 11 · 2013: 17 · 2012: 12
- FWCI
- 4.65
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- AIChE Journal (publishedVersion)
- Funders
- University of Cincinnati
- Topics
- Physical Sciences › Materials Science › Materials Chemistry › Crystallization and Solubility Studies
- Physical Sciences › Engineering › Computational Mechanics › Granular flow and fluidized beds
- Physical Sciences › Engineering › Biomedical Engineering › Fluid Dynamics and Mixing
- Keywords
- particle size distribution, particle growth, particle aggregation, nucleation, higher-order moments, continuous stirred tank reactor, batch reactor
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