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Related Experiment Videos

Motion of a sphere through a polymer solution.

Tai-Hsi Fan1, Jan K G Dhont, Remco Tuinier

  • 1Department of Mechanical Engineering, University of Connecticut, Storrs, Connecticut 06269-3139, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 16, 2007
PubMed
Summary
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We derived analytical solutions for hydrodynamic forces on spheres in polymer solutions. Polymer depletion near the sphere alters fluid viscosity, affecting particle motion and friction, with results matching experimental data.

Area of Science:

  • Fluid Dynamics
  • Polymer Physics
  • Colloid Science

Background:

  • Spherical particles moving in polymer solutions experience altered hydrodynamic forces due to polymer depletion.
  • Non-uniform fluid viscosity near the particle surface affects transport phenomena.

Purpose of the Study:

  • To derive analytical solutions for the hydrodynamic resistance force on a sphere in a polymer solution.
  • To investigate the impact of non-uniform fluid properties on particle translation and rotation.

Main Methods:

  • Utilized Stokes' stream function theory.
  • Developed a simplified two-layer approximation with a step function for the viscosity profile.
  • Formulated polymer solution effects as correction functions to sphere friction in a pure solvent.

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Main Results:

  • Analytical solutions for hydrodynamic resistance force were obtained.
  • The model accurately predicts the translational and rotational friction of a sphere in a polymer solution, showing good agreement with experimental measurements.
  • An apparent slip length was predicted based on viscosity ratio and depletion layer thickness.

Conclusions:

  • The study provides a theoretical framework for understanding particle dynamics in polymer solutions.
  • The two-layer approximation effectively captures the effects of polymer depletion on hydrodynamic forces.
  • The findings have implications for predicting the behavior of colloidal particles in complex fluids.