Dr MATTEO ICARDI MATTEO.ICARDI@NOTTINGHAM.AC.UK
Associate Professor
Population Balance Models for Particulate Flows in Porous Media: Breakage and Shear-Induced Events
Icardi, Matteo; Pasquale, Nicodemo Di; Crevacore, Eleonora; Marchisio, Daniele; Babler, Matthaus U.
Authors
Nicodemo Di Pasquale
Eleonora Crevacore
Daniele Marchisio
Matthaus U. Babler
Abstract
Transport and particulate processes are ubiquitous in environmental, industrial and biological applications, often involving complex geometries and porous media. In this work we present a general population balance model for particle transport at the pore-scale, including aggregation, breakage and surface deposition. The various terms in the equations are analysed with a dimensional analysis, including a novel collision-induced breakage mechanism, and split into one- and two-particles processes. While the first are linear processes, they might both depend on local flow properties (e.g. shear). This means that the upscaling (via volume averaging and homogenisation) to a macroscopic (Darcy-scale) description requires closures assumptions. We discuss this problem and derive an effective macroscopic term for the shear-induced events, such as breakage caused by shear forces on the transported particles. We focus on breakage events as prototype for linear shear-induced events and derive upscaled breakage frequencies in periodic geometries, starting from nonlinear power-law dependence on the local fluid shear rate. Results are presented for a two-dimensional channel flow and a three dimensional regular arrangement of spheres, for arbitrarily fast (mixing-limited) events. Implications for linearised shear-induced collisions are also discussed. This work lays the foundations of a new general framework for multiscale modelling of particulate flows.
Citation
Icardi, M., Pasquale, N. D., Crevacore, E., Marchisio, D., & Babler, M. U. (2023). Population Balance Models for Particulate Flows in Porous Media: Breakage and Shear-Induced Events. Transport in Porous Media, 146, 197-222. https://doi.org/10.1007/s11242-022-01793-5
Journal Article Type | Article |
---|---|
Acceptance Date | Apr 22, 2022 |
Online Publication Date | May 26, 2022 |
Publication Date | 2023-01 |
Deposit Date | Jun 1, 2022 |
Publicly Available Date | Mar 28, 2024 |
Journal | Transport in Porous Media |
Print ISSN | 0169-3913 |
Electronic ISSN | 1573-1634 |
Publisher | Springer Science and Business Media LLC |
Peer Reviewed | Peer Reviewed |
Volume | 146 |
Pages | 197-222 |
DOI | https://doi.org/10.1007/s11242-022-01793-5 |
Keywords | General Chemical Engineering; Catalysis |
Public URL | https://nottingham-repository.worktribe.com/output/8226923 |
Publisher URL | https://link.springer.com/article/10.1007/s11242-022-01793-5 |
Files
Icardi2022_Article_PopulationBalanceModelsForPart
(2 Mb)
PDF
Publisher Licence URL
https://creativecommons.org/licenses/by/4.0/
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