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Hydrodynamic interactions and the diffusivity of spheroidal particles.

Navaneeth K Marath1, John S Wettlaufer1

  • 1Nordita, Royal Institute of Technology and Stockholm University, Stockholm 106 91, Sweden.

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|July 15, 2019
PubMed
Summary

Hydrodynamic interactions significantly affect particle diffusivity in suspensions. This study quantifies these effects for spheroidal particles, revealing anisotropy influenced by shape and aspect ratio.

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Area of Science:

  • Fluid dynamics
  • Colloid science
  • Statistical mechanics

Background:

  • Particle diffusivity differs between isolated particles and suspensions due to hydrodynamic interactions.
  • Previous studies by Batchelor, Russel et al., and Brady investigated these effects for spherical particles in dilute and non-dilute suspensions.
  • The influence of hydrodynamic interactions on the diffusivity of anisotropic particles, specifically spheroids, remains less understood.

Purpose of the Study:

  • To calculate the effects of hydrodynamic interactions on the translational and rotational diffusivities of spheroidal particles in dilute monodisperse suspensions.
  • To analyze how particle shape (aspect ratio and eccentricity) influences these diffusivities.
  • To provide a quantitative understanding of hydrodynamic anisotropy in spheroidal particle suspensions.

Main Methods:

  • Theoretical calculations of hydrodynamic interactions for spheroidal particles.
  • Analysis of translational and rotational diffusion coefficients.
  • Investigation across a range of particle aspect ratios.

Main Results:

  • Hydrodynamic interactions influence both translational and rotational diffusivities of spheroidal particles.
  • Prolate spheroids exhibit greater sensitivity of diffusivity to eccentricity compared to oblate spheroids.
  • The hydrodynamic anisotropy effects are found to be on the order of a few percent in the dilute limit.

Conclusions:

  • Hydrodynamic interactions introduce anisotropy in the diffusivity of spheroidal particles.
  • The findings are crucial for understanding phenomena like partially frozen colloidal suspensions and cytoplasmic dynamics.
  • This work extends the understanding of particle diffusion beyond simple spherical shapes.