A refined algorithm to simulate latex colloid agglomeration at high ionic strength

Henry, Christophe; Norrfors, Knapp Karin; Olejnik, Michał; Bouby, M.; Luetzenkirchen, Johannes; Wold, Susanna; Minier, Jean-Pierre

doi:10.1007/s10450-015-9714-4

Cited by 6 publications

(4 citation statements)

References 60 publications

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“…This algorithm has been later refined to treat collision only between a subset of candidates, which are randomly selected among the possible particle pairs within each cell [30]. Similar formulations have been used recently replacing the probability of collisions between pairs of particles/parcels with the discretised PBE formula [31]. c. Population Balance Equations (PBE):…”

Section: Existing Models For Particle Agglomerationmentioning

confidence: 99%

New spatial decomposition method for accurate, mesh-independent agglomeration predictions in particle-laden flows

Rodríguez

Bossy

Maftei

et al. 2021

Applied Mathematical Modelling

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This article presents a new data-driven spatial decomposition algorithm that allows to split a domain containing point particles into elementary cells, each cell containing a spatially-uniform distribution of particles. For that purpose, the algorithm relies on the use of statistical information for the spatial distribution of particles and then extracts an optimal spatial decomposition. After evaluating the convergence and accuracy of the algorithm on homogeneous and inhomogeneous cases, this optimal spatial decomposition is applied to study the case of particle agglomeration. Indeed in CFD context, recent developments on numerical simulations of particle agglomeration in complex and turbulent flows increasingly resort to Euler-Lagrange approaches. These methods are coupled with population balance equation (PBE)-like algorithms to compute agglomeration inside each cell of the Eulerian mesh. One of the key issues with such approaches is related to the respect of the spatially-uniform condition, i.e. agglomeration should be computed on a set of particles that are uniformly distributed locally in each cell. Yet, CFD simulations in realistic industrial/environmental cases often involve non-homogeneous concentrations of particles (due to local injection or accumulation in specific regions). We show that more accurate and mesh-independent predictions of particle agglomeration are made possible by the application of this new data-driven spatial decomposition algorithm.

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Section: Existing Models For Particle Agglomerationmentioning

confidence: 99%

New spatial decomposition method for accurate, mesh-independent agglomeration predictions in particle-laden flows

Rodríguez

Bossy

Maftei

et al. 2021

Applied Mathematical Modelling

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“…Under this experimental condition, the aggregation of the particles is solely controlled by their diffusion, i.e., each collision results in dimer formation. [40][41][42] Accordingly, stability ratios close to unity indicate fast aggregation and unstable samples, while higher values refer to slower aggregation and stable suspensions. The same particle concentration (1 mg L À1 ) was used in all of the time-resolved experiments, whereas, the polyelectrolyte dose or the ionic strength was varied.…”

Section: Characterization Of the Bare And Functionalized Tnsmentioning

confidence: 99%

Improving the stability of titania nanosheets by functionalization with polyelectrolytes

2016

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“…In that case, the collision-detection algorithm is adapted for parcels. Similar formulations have been used recently replacing the probability of collisions between pairs of particles/parcels with the discretised Population Balance Equations [31]. c. Population Balance Equations (PBE).…”

Section: General Context: Particle Agglomerationmentioning

confidence: 99%

“…In the present paper, we focus on hybrid approaches which combine Eulerian simulations of the fluid phase, Lagrangian tracking of particles and PBE-inspired treatment of agglomeration (see for instance [31]). The use of a mesh-based PBEinspired algorithm for the detection of particle collisions induces limitations that are related to well-known PBE drawbacks, including: a.…”

Section: General Context: Particle Agglomerationmentioning

confidence: 99%

Particle agglomeration in flows: Fast data-driven spatial decomposition algorithm for CFD simulations

Rodríguez

Bossy

Henry

2022

International Journal of Multiphase Flow

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Computational fluid dynamics simulations in practical industrial/environmental cases often involve non-homogeneous concentrations of particles. In turns, this induces the propagation of numerical error when using population balance equation (PBE)-like algorithms to compute agglomeration inside each cell of an Eulerian mesh. In this article, we apply the data-driven spatial decomposition (D2SD) algorithm to control such error in simulations of particle agglomeration. Significant improvements are made to design a fast D2SD version, minimizing the additional computational cost by developing re-meshing criteria. Through the application to some practical simulation cases, we show the importance of splitting the domain when calculating agglomerations, so that within each elementary cell there is a spatially uniform distribution of particles.

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A refined algorithm to simulate latex colloid agglomeration at high ionic strength

Cited by 6 publications

References 60 publications

New spatial decomposition method for accurate, mesh-independent agglomeration predictions in particle-laden flows

New spatial decomposition method for accurate, mesh-independent agglomeration predictions in particle-laden flows

Improving the stability of titania nanosheets by functionalization with polyelectrolytes

Particle agglomeration in flows: Fast data-driven spatial decomposition algorithm for CFD simulations

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