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A Method for Determination and Simulation of Permeability and Diffusion in a 3D Tissue Model in a Membrane Insert System for Multi-well Plates
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Effective diffusion coefficient determination within cylindrical granules of adsorbents using a direct simulation

Zimei Rong1, Artur P Terzyk, Piotr A Gauden

  • 1IRC in Biomedical Materials, Queen Mary University of London, Mile End Road, London E1 4NS, United Kingdom. z.rong@qmul.ac.uk

Journal of Colloid and Interface Science
|June 1, 2007
PubMed
Summary

This study applies Fick's Second Law to determine solute diffusion coefficients in activated carbon. A simulation method refines initial estimates using experimental adsorption data, accounting for noise and system variables.

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Area of Science:

  • Physical Chemistry
  • Materials Science
  • Chemical Engineering

Background:

  • Analytical models exist for solute adsorption kinetics in porous adsorbents, assuming diffusion is rate-limiting.
  • These models rely on Fick's Second Law for effective diffusion coefficient determination.
  • Practical application of these models to real-world data, especially with experimental noise, requires refinement.

Purpose of the Study:

  • To practically apply theoretical expressions for solute adsorption kinetics in porous carbon cylindrical granules.
  • To refine an initial estimated diffusion coefficient by fitting theoretical curves to experimental data.
  • To quantitatively analyze the effects of surface modification, pH, and temperature on adsorption kinetics and diffusion coefficients.

Main Methods:

  • Utilized analytical expressions for solute adsorption kinetics based on Fick's Second Law.
  • Applied a simulation method to refine effective diffusion coefficients from experimental adsorption data.
  • Analyzed experimental data for activated carbons, considering noise contamination.
  • Investigated the influence of surface modification, pH, and temperature on adsorption kinetics.

Main Results:

  • Successfully applied theoretical models to experimental adsorption data for activated carbons.
  • Demonstrated the utility of a simulation method for determining effective diffusion coefficients in the presence of experimental noise.
  • Quantified the impact of surface modification, pH, and temperature on adsorption kinetics and diffusion within the porous structure.

Conclusions:

  • The study provides the first practical application of analytical expressions for solute adsorption kinetics in porous carbon.
  • Simulation methods are effective for refining diffusion coefficients from noisy experimental data.
  • Understanding the influence of various factors is crucial for accurate diffusion coefficient determination in activated carbons.