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This study simulates elastic capsule flow in channels, finding that multi-directional confinement hinders particle focusing. Channel shape significantly impacts apparent viscosity, extending the Fahraeus-Lindqvist effect to 2D.

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Area of Science:

  • Fluid dynamics
  • Computational physics
  • Biophysics

Background:

  • Understanding the behavior of suspensions is crucial in various scientific and industrial applications.
  • Elastic capsules in flow exhibit complex dynamics influenced by confinement and flow conditions.

Purpose of the Study:

  • To investigate the pressure-driven flow of elastic capsule suspensions in slit and rectangular channels.
  • To analyze the effects of channel geometry, Reynolds number (Re), and capillary number (Ca) on capsule dynamics and suspension viscosity.

Main Methods:

  • Three-dimensional simulations using the Immersed Boundary Method and Lattice-Boltzmann Method.
  • Systematic variation of channel dimensions, Re, and Ca for a fixed capsule volume fraction (0.1).

Main Results:

  • Multi-directional confinement in rectangular channels impedes inertial focusing due to capsule-free layers.
  • Unequal channel height and width lead to differing capsule-free layer thicknesses.
  • Apparent viscosity is significantly affected by channel size and aspect ratio, with square channels showing maximal viscosity.

Conclusions:

  • The study extends the Fahraeus-Lindqvist effect from 1D cylindrical channels to 2D rectangular channels.
  • Channel geometry plays a critical role in dictating the flow behavior and effective viscosity of elastic capsule suspensions.