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Title: Population Balance Models for Particulate Flows in Porous Media: Breakage and Shear-Induced Events
Authors: Icardi, M
Pasquale, ND
Crevacore, E
Marchisio, D
Babler, MU
Keywords: Population balance equation;Particulate flows;Upscaling;Mixing;Porous Media
Issue Date: 26-May-2022
Publisher: SpringerLink
Citation: Icardi, M., Pasquale, N.D., Crevacore, E., Marchisio, D., Babler, M.U. (2022) 'Population Balance Models for Particulate Flows in Porous Media: Breakage and Shear-Induced Events', Transport in Porous Media, 0 (In press), pp. 1 - 26. doi:10.1007/s11242-022-01793-5.
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.
ISSN: 0169-3913
Appears in Collections:Chemistry

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