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Permeative flows in cholesteric liquid crystals.

D Marenduzzo1, E Orlandini, J M Yeomans

  • 1Department of Theoretical Physics, Oxford University, 1 Keble Road, Oxford OX1 3NP, United Kingdom.

Physical Review Letters
|June 1, 2004
PubMed
Summary
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Lattice Boltzmann simulations reveal how cholesteric liquid crystals behave under flow. Pinned helical structures dramatically increase viscosity, while free structures show minimal change but flattened velocity profiles.

Area of Science:

  • Fluid Dynamics
  • Materials Science
  • Computational Physics

Background:

  • Cholesteric liquid crystals exhibit complex behavior under flow.
  • Existing analytic treatments for these systems are approximate.
  • Understanding flow effects is crucial for material applications.

Purpose of the Study:

  • To investigate the rheological properties of cholesteric liquid crystals under permeative flow.
  • To extend and clarify approximate analytic treatments using numerical simulations.
  • To identify novel flow-induced structures in the liquid crystal director field.

Main Methods:

  • Lattice Boltzmann simulations were employed.
  • The Beris-Edwards equations of motion were solved.
  • Poiseuille flow was applied along the helical axis.

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Main Results:

  • Pinned cholesteric helix boundaries lead to significant viscosity increase.
  • Free helical structures result in flattened velocity profiles with unchanged viscosity.
  • Secondary flows play a critical role in the observed phenomena.
  • A flow-induced double twist structure was identified at higher velocities.

Conclusions:

  • Boundary conditions strongly influence the flow behavior and viscosity of cholesteric liquid crystals.
  • Numerical simulations provide valuable insights beyond approximate analytic methods.
  • The identified double twist structure offers new perspectives on liquid crystal textures.