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Related Experiment Videos

The diffusion coefficient of a swollen microgel particle.

Alexander F Routh1, William B Zimmerman

  • 1Department of Chemical and Process Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK. a.routh@Sheffield.ac.uk

Journal of Colloid and Interface Science
|November 1, 2005
PubMed
Summary

This study calculates drag on permeable particles, finding it decreases with higher Darcy numbers (Da). This impacts diffusion coefficient calculations, crucial for accurately sizing microgel particles using dynamic light scattering.

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Area of Science:

  • Fluid dynamics
  • Particle physics
  • Materials science

Background:

  • Permeable particles in Newtonian liquids present unique hydrodynamic challenges.
  • Understanding particle drag is essential for predicting their motion and diffusion.
  • Existing models often simplify particles as impermeable, neglecting permeability effects.

Purpose of the Study:

  • To calculate the drag force on a permeable particle in a Newtonian fluid.
  • To express drag as a function of the Darcy number (Da).
  • To analyze the implications for diffusion coefficient calculations and dynamic light scattering accuracy.

Main Methods:

  • Theoretical calculation of drag force on a permeable particle.
  • Formulation of drag in terms of the Darcy number (Da).

Related Experiment Videos

  • Derivation of the diffusion coefficient as a function of Da.

    • Main Results:

    • Drag is dependent on the Darcy number (Da), a ratio of particle permeability to radius.
    • For small Da, results align with Stokes drag for impermeable particles.
    • Increased Da leads to reduced drag, affecting diffusion coefficients.

    Conclusions:

    • The study provides a framework for understanding drag and diffusion of permeable particles.
    • Results clarify the accuracy of dynamic light scattering for microgel particles based on Da.
    • The Darcy number for microgel particles is estimated around 10(-7).