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Destructive aggregation: aggregation with collision-induced breakage.

R Dennis Vigil1, Isaac Vermeersch, Rodney O Fox

  • 1Department of Chemical & Biological Engineering, 2114 Sweeney Hall, Iowa State University, Ames, IA 50011-2230, USA. vigil@iastate.edu

Journal of Colloid and Interface Science
|June 27, 2006
PubMed
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This study introduces a population balance model for particle aggregation and collision-induced breakage, offering a new method to predict particle size distributions in dynamic systems.

Area of Science:

  • Chemical Engineering
  • Physical Chemistry
  • Materials Science

Background:

  • Population balance equations are crucial for modeling particle size evolution.
  • Simultaneous aggregation and breakage significantly impact particle systems.
  • Existing models often lack detailed breakage mechanisms.

Purpose of the Study:

  • To develop a population balance model incorporating aggregation and collision-induced particle breakage.
  • To analyze particle size distribution evolution under these combined processes.
  • To validate the model with simulations and compare it to existing breakage models.

Main Methods:

  • Development of a population balance equation for aggregation with arbitrary fragment distribution functions.
  • Postulation of a specific fragment distribution function based on linear polymer morphology for two-body collisions.

Related Experiment Videos

  • Analysis of the equation's behavior with a constant collision kernel and derivation of partial analytical solutions.
  • Comparison of analytical solutions with Monte Carlo simulation results.
  • Validation of a scaling law for steady-state particle size distribution.

    • Main Results:

    • The developed population balance model accurately describes particle size distributions under aggregation and collision-induced breakage.
    • Analytical solutions were derived and validated against Monte Carlo simulations.
    • A scaling law for steady-state particle size distribution was successfully validated.
    • The model's behavior was contrasted with an aggregation-only breakage model.

    Conclusions:

    • The new population balance model provides a robust framework for understanding particle dynamics with complex breakage.
    • The model's predictions align well with simulation data, confirming its utility.
    • This work advances the predictive capabilities for particle systems in various industrial applications.