LAPSE:2023.36605
Published Article

LAPSE:2023.36605
The Evolution of Variance and Entropy of the Granule Size Distribution in Fluidized Bed Agglomeration
September 20, 2023
Abstract
The evolution of the variance and entropy of granule size in the fluidized bed agglomeration process using two different aggregation kernels is examined. The first is a constant kernel (aggregation is independent of both time and granule size) and permits the most unconstrained agglomeration process that can occur where granules in any size class (up to a maximum size) can be formed at any point in time. This gives the fastest and largest increase in the variance and entropy of the resulting granule size distribution. The second kernel is a mechanistic kernel including a granule growth-limiting mechanism, in this case implemented by the consideration that not all collisions result in coalescence. This markedly changes the evolution of the variance and entropy of the distribution and reduces both significantly. Quantifying the entropy of the distribution provides another perspective on the change in the size distribution in an agglomeration process. It is shown that entropy can provide a better measure of size evolution than variance in that it represents the changing shape of the distribution more closely.
The evolution of the variance and entropy of granule size in the fluidized bed agglomeration process using two different aggregation kernels is examined. The first is a constant kernel (aggregation is independent of both time and granule size) and permits the most unconstrained agglomeration process that can occur where granules in any size class (up to a maximum size) can be formed at any point in time. This gives the fastest and largest increase in the variance and entropy of the resulting granule size distribution. The second kernel is a mechanistic kernel including a granule growth-limiting mechanism, in this case implemented by the consideration that not all collisions result in coalescence. This markedly changes the evolution of the variance and entropy of the distribution and reduces both significantly. Quantifying the entropy of the distribution provides another perspective on the change in the size distribution in an agglomeration process. It is shown that entropy can provide a better measure of size evolution than variance in that it represents the changing shape of the distribution more closely.
Record ID
Keywords
entropy, fluidized bed agglomeration, granule size distribution, variance
Subject
Suggested Citation
Cronin K, Gutiérrez Ortiz FJ. The Evolution of Variance and Entropy of the Granule Size Distribution in Fluidized Bed Agglomeration. (2023). LAPSE:2023.36605
Author Affiliations
Cronin K: Department of Process & Chemical Engineering, School of Engineering, University College Cork, T12 Y337 Cork, Ireland
Gutiérrez Ortiz FJ: Department of Chemical and Environmental Engineering, Escuela Técnica Superior de Ingeniería, Universidad de Sevilla, 41092 Seville, Spain [ORCID]
Gutiérrez Ortiz FJ: Department of Chemical and Environmental Engineering, Escuela Técnica Superior de Ingeniería, Universidad de Sevilla, 41092 Seville, Spain [ORCID]
Journal Name
Processes
Volume
11
Issue
8
First Page
2247
Year
2023
Publication Date
2023-07-26
ISSN
2227-9717
Version Comments
Original Submission
Other Meta
PII: pr11082247, Publication Type: Journal Article
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Published Article

LAPSE:2023.36605
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https://doi.org/10.3390/pr11082247
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[v1] (Original Submission)
Sep 20, 2023
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Sep 20, 2023
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https://psecommunity.org/LAPSE:2023.36605
Record Owner
Calvin Tsay
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