Analysis and Control of a Turbulent Coagulator

Bonanomi, Eleonora; Šefčı́k, Ján; Morari, Manfred; Morbidelli, Massimo

doi:10.1021/ie034236y

Cited by 15 publications

(3 citation statements)

References 38 publications

(87 reference statements)

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“…This is accounted for by the ratio n n / i j and the parameter x. This partially empirical model was shown to adequately simulate latex flocculation (Selomulya et al, 2003;Bonanomi et al, 2004;Soos et al, 2007;Antunes et al, 2010;Jeldres et al, 2015).…”

Section: Introduction Of the Fractal Dimension In A Diameter-based Pomentioning

confidence: 95%

QMOM-based population balance model involving a fractal dimension for the flocculation of latex particles

Vlieghe

Coufort-Saudejaud

Liné

et al. 2016

Chemical Engineering Science

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QMOM-based population balance model involving a fractal dimension. Aggregation and breakage kernels involving a fractal dimension. Simulation of the first 6 moments of the particle size distribution. Analytical relations between sink and source terms of the population balance equation. a b s t r a c tAn experimental and computational study of agglomeration and breakage processes for fully destabilized latex particles under turbulent flow conditions in a jar is presented. The particle size distribution (PSD) and the fractal dimension of flocs of latex particles were monitored using an on-line laser diffraction technique. A population balance equation (PBE) was adapted to our problem by including the fractal dimension in its formulation as well as in the aggregation and breakage kernels. The quadrature method of moments was used for the resolution. The adjustment of 4 model parameters was then conducted on the first 6 moments of the PSD for various mean shear rates. The model correctly predicts the evolution of the first 6 moments calculated from the experimental PSD. The experimental results were adequately simulated by a single set of adjusted parameters, proving the relevance of the dependency on the fractal dimension and mean shear rate. A sensitivity analysis was performed on two main adjusted parameters highlighting the major roles of (1) the power to which the mean shear rate is raised in the breakage kernel and (2) the sizes of the colliding aggregates in the collision efficiency model. Finally, analytical relations between the sink and source terms of the breakage or aggregation of the PBE were derived and discussed, highlighting interesting features of the PBE model.

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Section: Introduction Of the Fractal Dimension In A Diameter-based Pomentioning

confidence: 95%

QMOM-based population balance model involving a fractal dimension for the flocculation of latex particles

Vlieghe

Coufort-Saudejaud

Liné

et al. 2016

Chemical Engineering Science

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“…When restructuring of flocs occurs, the fractal dimension that quantifies the flocs structure varies with the flocculation time. Hence, the model proposed by Bonanomi et al (2004) and described by Eq. 10, was introduced into the population balance model, in Eq.…”

Section: Flocs Restructuringmentioning

confidence: 99%

Modelling PCC flocculation by bridging mechanism using population balances: Effect of polymer characteristics on flocculation

Antunes

Garcı́a

Ferreira

et al. 2010

Chemical Engineering Science

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A population balance model for flocculation of PCC particles with polyelectrolytes of very high molecular weight, medium charge density and different degree of branching is presented. The model considers simultaneously aggregation, breakage and flocs restructuring to describe the PCC flocculation by bridging mechanism. The maximum collision efficiency factor, a parameter related with the fragmentation rate and a time constant for flocs restructuring have been taken as fitting parameters. These fitting parameters are optimized to get the best fit between experimental data obtained by LDS in a previous study and the modelled results. The optimized parameters were correlated with flocculant concentration, flocs structure and polymer branching. The correlations obtained show well the effects of flocculant concentration, flocs structure and polymer structure on the flocculation kinetics and flocs restructuring which are translated in the model parameters. Moreover, the flocs break up due to polymer degradation was introduced in the model by decreasing, with time, the maximum collision efficiency factor. It was shown that this effect can be neglected since the improvement in the results is too small relatively to the high increase of the computational time required to perform the simulation.

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“…A similar form of the aggregation rate prefactor (with n = 0) was used in previous works [18,44,45] to describe aggregation behavior of colloidal particles as a function of shear rate under turbulent conditions.…”

Section: Aggregation Kernelmentioning

confidence: 99%

Population balance modeling of aggregation and breakage in turbulent Taylor–Couette flow

Šoóš

Wang

Fox

et al. 2007

Journal of Colloid and Interface Science

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Analysis and Control of a Turbulent Coagulator

Cited by 15 publications

References 38 publications

QMOM-based population balance model involving a fractal dimension for the flocculation of latex particles

QMOM-based population balance model involving a fractal dimension for the flocculation of latex particles

Modelling PCC flocculation by bridging mechanism using population balances: Effect of polymer characteristics on flocculation

Population balance modeling of aggregation and breakage in turbulent Taylor–Couette flow

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