Viscoelastic flows of cholesteric liquid crystals

We numerically solve the hydrodynamic equations of motion for a cholesteric liquid crystal under an imposed Poiseuille flow, by means of lattice Boltzmann simulations. The elasticity of the cholesteric helix couples to the external flow to give rise to a highly viscoelastic flow. This is a technical...

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Main Authors: Orlandini, E, Marenduzzo, D, Yeomans, J
Format: Conference item
Published: 2007
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author Orlandini, E
Marenduzzo, D
Yeomans, J
author_facet Orlandini, E
Marenduzzo, D
Yeomans, J
author_sort Orlandini, E
collection OXFORD
description We numerically solve the hydrodynamic equations of motion for a cholesteric liquid crystal under an imposed Poiseuille flow, by means of lattice Boltzmann simulations. The elasticity of the cholesteric helix couples to the external flow to give rise to a highly viscoelastic flow. This is a technically difficult problem for standard flow solvers due to its fully two-dimensional nature. We consider a helix with axis parallel to the boundaries, and at the same time to either the primary flow or the vorticity direction (we identify these two flow modes as permeation and vorticity mode respectively). We quantify the large difference found in the steady state director and velocity profiles, and in the apparent viscosities obtained in the two cases.
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spelling oxford-uuid:e7b76fa9-1559-4a10-82f0-2e59b32f92dc2022-03-27T10:41:01ZViscoelastic flows of cholesteric liquid crystalsConference itemhttp://purl.org/coar/resource_type/c_5794uuid:e7b76fa9-1559-4a10-82f0-2e59b32f92dcSymplectic Elements at Oxford2007Orlandini, EMarenduzzo, DYeomans, JWe numerically solve the hydrodynamic equations of motion for a cholesteric liquid crystal under an imposed Poiseuille flow, by means of lattice Boltzmann simulations. The elasticity of the cholesteric helix couples to the external flow to give rise to a highly viscoelastic flow. This is a technically difficult problem for standard flow solvers due to its fully two-dimensional nature. We consider a helix with axis parallel to the boundaries, and at the same time to either the primary flow or the vorticity direction (we identify these two flow modes as permeation and vorticity mode respectively). We quantify the large difference found in the steady state director and velocity profiles, and in the apparent viscosities obtained in the two cases.
spellingShingle Orlandini, E
Marenduzzo, D
Yeomans, J
Viscoelastic flows of cholesteric liquid crystals
title Viscoelastic flows of cholesteric liquid crystals
title_full Viscoelastic flows of cholesteric liquid crystals
title_fullStr Viscoelastic flows of cholesteric liquid crystals
title_full_unstemmed Viscoelastic flows of cholesteric liquid crystals
title_short Viscoelastic flows of cholesteric liquid crystals
title_sort viscoelastic flows of cholesteric liquid crystals
work_keys_str_mv AT orlandinie viscoelasticflowsofcholestericliquidcrystals
AT marenduzzod viscoelasticflowsofcholestericliquidcrystals
AT yeomansj viscoelasticflowsofcholestericliquidcrystals