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Arjmandi-Tash, O., Tew, J.D., Pitt, K. et al. (2 more authors) (2019) A new mathematical model for nucleation of spherical agglomerates by the immersion mechanism. Chemical Engineering Science: X, 4. ISSN 2590-1400
Abstract
Initial wetting of crystals by binder droplets is a key rate process in spherical agglomeration, however there are no models to predict the kinetics and formation of agglomerate nuclei. Two new mathematical models are introduced for agglomerate nucleation by an immersion mechanism; immersion rate limited model and collision rate limited model. The agglomerate nucleation number developed in this work predicts different regimes; immersion rate limited, collision rate limited and intermediate. In an immersion rate limited regime, agglomerate size increases with square root of time. In a collision rate limited regime, size increases linearly with time if the bulk crystal volume fraction, φPb, is constant, or with an exponential decay rate for batch crystallisation with decreasing φPb. The timescale for nucleation is less than ten minutes for a broad range of conditions, significantly less than most crystallisation timescales. These models have great promise for population balance modelling and spherical agglomeration optimisation.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). |
Keywords: | Spherical agglomeration; Immersion nucleation; Immersion rate; Collision rate; Binder droplet; Mathematical modelling |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Chemical and Biological Engineering (Sheffield) |
Funding Information: | Funder Grant number Engineering and Physical Science Research Council (EPSRC) EP/P006965/1 |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 19 Nov 2019 11:35 |
Last Modified: | 12 Feb 2025 16:07 |
Status: | Published |
Publisher: | Elsevier |
Refereed: | Yes |
Identification Number: | 10.1016/j.cesx.2019.100048 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:152688 |
Available Versions of this Item
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[WITHDRAWN] A new mathematical model for nucleation of spherical agglomerates by the immersion mechanism [withdrawn]. (deposited 15 Oct 2019 10:04)
- A new mathematical model for nucleation of spherical agglomerates by the immersion mechanism. (deposited 19 Nov 2019 11:35) [Currently Displayed]