Skip to main content

Research Repository

Advanced Search

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.

Population Balance Models for Particulate Flows in Porous Media: Breakage and Shear-Induced Events Thumbnail


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




You might also like



Downloadable Citations