Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Population balance models for particulate flows in porous media:breakage
  and shear-induced events   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 non-linear 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.

26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph