Permeative flows in cholesteric liquid crystals
arXiv:cond-mat/0403366 · doi:10.1103/PhysRevLett.92.188301
Abstract
We use lattice Boltzmann simulations to solve the Beris-Edwards equations of motion for a cholesteric liquid crystal subjected to Poiseuille flow along the direction of the helical axis (permeative flow). The results allow us to clarify and extend the approximate analytic treatments currently available. We find that if the cholesteric helix is pinned at the boundaries there is an enormous viscosity increase. If, instead, the helix is free the velocity profile is flattened but the viscosity is essentially unchanged. We highlight the importance of secondary flows and, for higher flow velocities, we identify a flow-induced double twist structure in the director field -- reminiscent of the texture characteristic of blue phases.
4 pages, 3 figures, accepted for publication in Phys. Rev. Lett
References in corpus (4)
Cited by in corpus (18)
- Shearing active gels close to the isotropic-nematic transition
- Lattice Boltzmann study on Kelvin-Helmholtz instability: the roles of velocity and density gradients
- Numerical calculations of the phase diagram of cubic blue phases in cholesteric liquid crystals
- Phase separation in thermal systems: LB study and morphological characterization
- Microfluidic control over topological states in channel-confined nematic flows
- Hydrodynamic instabilities in active cholesteric liquid crystals
- Rheology of cholesteric blue phases
- Microfluidic Flow of Cholesteric Liquid Crystals
- Polar coordinate lattice Boltzmann kinetic modeling of detonation phenomena
- Rheology of Cubic Blue Phases
- Flexoelectric switching in cholesteric blue phases
- Effect of Electric Fields on the Director Field and Shape of Nematic Tactoids
- Confined Cubic Blue Phases under Shear
- Switching dynamics in cholesteric liquid crystal emulsions
- Lattice Boltzmann modeling of cholesteric liquid crystal droplets under an oscillatory electric field
- Experimental testing of the Prandtl-Tomlinson model: Molecular origin of rotational friction
- Anchoring-mediated stick-slip winding of cholesteric liquid crystals
- Hydrodynamics of chiral nematics in a channel and sudden contraction geometry