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Size exclusion deep bed filtration: experimental and modelling uncertainties.

Alexander Badalyan1, Zhenjiang You1, Kaiser Aji1

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This study verifies stochastic models for particle capture using uncertainty analysis. A model accurately predicts particle concentrations, crucial for understanding size exclusion in porous media.

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Area of Science:

  • Colloid and Surface Science
  • Environmental Engineering
  • Fluid Dynamics

Background:

  • Particle capture in porous media is vital for filtration and environmental remediation.
  • Size exclusion is a key mechanism, driven by repulsive forces between particles and media.

Purpose of the Study:

  • To perform a detailed uncertainty analysis of particle capture models.
  • To verify theoretical stochastic models for predicting particle retention due to size exclusion.

Main Methods:

  • Applied linear uncertainty propagation using Taylor's series expansion.
  • Calculated combined standard uncertainties (CSUs) for various experimental parameters.
  • Evaluated two stochastic models against experimental data for normalized suspended particle concentrations.

Main Results:

  • Size exclusion was confirmed as the dominant capture mechanism due to repulsive Derjaguin-Landau-Verwey-Overbeek potentials.
  • Weighted mean particle radius and mean pore throat radius exhibited the highest CSUs.
  • One model accurately predicted normalized suspended particle concentrations across various jamming ratios.

Conclusions:

  • The validated model provides reliable predictions for particle retention.
  • Uncertainty analysis is essential for comparing particle size exclusion data across studies.
  • The findings support the use of size exclusion models in filtration and environmental applications.