Master curves for aggregation and gelation: effects of cluster structure and polydispersity

Miroslav Soos, Jan Sefcik, Massimo Morbidelli

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

A parametric study of the effects of cluster structure and polydispersity on the kinetics of aggregation and gelation is presented. The aggregation kinetics is described in terms of master curves characterizing the evolution of suitable dimensionless averages (measurable by light scattering) of the underlying cluster mass distribution (CMD), as a function of a suitable dimensionless time. Such master curves are shown to be dependent only on two dimensionless parameters: the cluster fractal dimension (d(f)) and the ratio between Brownian and shear aggregation rates (kappa). Shear aggregation of fractal clusters leads to higher-order moments of the CMD diverging to infinity in a finite time, which is usually called runaway. It is determined that the parameter space is split into two distinct regions: either where aggregates gel because of space filling before runaway occurs or where gelation occurs as a consequence of runaway. It is also determined that cluster polydispersity and the fractal dimension significantly affect the runaway and gelation times.

LanguageEnglish
Pages1709-1720
Number of pages12
JournalIndustrial and Engineering Chemistry Research
Volume46
Issue number6
DOIs
Publication statusPublished - 14 Mar 2007

Fingerprint

Polydispersity
Gelation
Agglomeration
Fractal dimension
Kinetics
Fractals
Light scattering
Gels

Keywords

  • aggregation
  • gelation
  • cluster structure
  • fractal cluster

Cite this

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Master curves for aggregation and gelation : effects of cluster structure and polydispersity. / Soos, Miroslav; Sefcik, Jan; Morbidelli, Massimo.

In: Industrial and Engineering Chemistry Research, Vol. 46, No. 6, 14.03.2007, p. 1709-1720.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Master curves for aggregation and gelation

T2 - Industrial and Engineering Chemistry Research

AU - Soos, Miroslav

AU - Sefcik, Jan

AU - Morbidelli, Massimo

PY - 2007/3/14

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AB - A parametric study of the effects of cluster structure and polydispersity on the kinetics of aggregation and gelation is presented. The aggregation kinetics is described in terms of master curves characterizing the evolution of suitable dimensionless averages (measurable by light scattering) of the underlying cluster mass distribution (CMD), as a function of a suitable dimensionless time. Such master curves are shown to be dependent only on two dimensionless parameters: the cluster fractal dimension (d(f)) and the ratio between Brownian and shear aggregation rates (kappa). Shear aggregation of fractal clusters leads to higher-order moments of the CMD diverging to infinity in a finite time, which is usually called runaway. It is determined that the parameter space is split into two distinct regions: either where aggregates gel because of space filling before runaway occurs or where gelation occurs as a consequence of runaway. It is also determined that cluster polydispersity and the fractal dimension significantly affect the runaway and gelation times.

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