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Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures
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Driven colloidal suspensions in confinement and density functional theory: microstructure and wall-slip.

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Summary

We studied sheared colloidal suspensions using density functional theory. Our model predicts homogeneous shear stress near walls, enabling calculation of fluid slip length.

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Area of Science:

  • Soft Matter Physics
  • Colloidal Science
  • Computational Physics

Background:

  • Colloidal suspensions are complex fluids with unique properties under external forces.
  • Understanding their behavior in confined geometries is crucial for material science and nanotechnology.
  • Classical density functional theory provides a framework for studying such systems.

Purpose of the Study:

  • To theoretically investigate the general properties of driven (sheared) colloidal suspensions in confinement.
  • To develop and validate approximations for the one-particle density equation under shear.
  • To analyze shear stress distribution and flow behavior near confining walls.

Main Methods:

  • Application of classical density functional theory.
  • Formulation of closure conditions for approximations to the Smoluchowski equation.
  • Identification of the exact microscopic stress tensor.
  • Development of a second equation to achieve homogeneous shear stress.

Main Results:

  • A simple closure approximation was shown to fulfill general conditions for modeling sheared suspensions.
  • The microscopic shear stress near a wall was found to be non-homogeneous.
  • A homogeneous shear stress was achieved by introducing an additional equation.
  • Local flow velocity and slip length at the wall were computed.

Conclusions:

  • The developed theoretical framework accurately describes sheared colloidal suspensions in confinement.
  • The findings provide insights into fluid dynamics at interfaces, relevant for complex fluid behavior.
  • The computed slip length offers a quantitative measure of wall-fluid interaction in sheared systems.