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Title: Lattice Boltzmann simulation of asymmetric flow in nematic liquid crystals with finite anchoring

Abstract

Liquid crystals (LCs) display many of the flow characteristics of liquids but exhibit long range orientational order. In the nematic phase, the coupling of structure and flow leads to complex hydrodynamic effects that remain to be fully elucidated. Here, we consider the hydrodynamics of a nematic LC in a hybrid cell, where opposite walls have conflicting anchoring boundary conditions, and we employ a 3D lattice Boltzmann method to simulate the time-dependent flow patterns that can arise. Due to the symmetry breaking of the director field within the hybrid cell, we observe that at low to moderate shear rates, the volumetric flow rate under Couette and Poiseuille flows is different for opposite flow directions. At high shear rates, the director field may undergo a topological transition which leads to symmetric flows. Here, by applying an oscillatory pressure gradient to the channel, a net volumetric flow rate is found to depend on the magnitude and frequency of the oscillation, as well as the anchoring strength. Taken together, our findings suggest several intriguing new applications for LCs in microfluidic devices.

Authors:
 [1];  [1];  [2];  [3]
  1. Univ. of Chicago, IL (United States)
  2. Argonne National Lab. (ANL), Argonne, IL (United States)
  3. Univ. of Chicago, IL (United States); Argonne National Lab. (ANL), Argonne, IL (United States)
Publication Date:
Research Org.:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; National Science Foundation (NSF)
OSTI Identifier:
1351106
Grant/Contract Number:  
AC02-06CH11357; DMR-1410674
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 144; Journal Issue: 8; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; 36 MATERIALS SCIENCE; Nematic liquid crystals; Laminar flows; Fluid flows; Velocity gradient tensor; Microfluidic devices; Hydrodynamics; Lattice Boltzmann methods; Elastic modulus; Volumetric flow rates; Viscosity

Citation Formats

Zhang, Rui, Roberts, Tyler, Aranson, Igor S., and de Pablo, Juan J. Lattice Boltzmann simulation of asymmetric flow in nematic liquid crystals with finite anchoring. United States: N. p., 2016. Web. doi:10.1063/1.4940342.
Zhang, Rui, Roberts, Tyler, Aranson, Igor S., & de Pablo, Juan J. Lattice Boltzmann simulation of asymmetric flow in nematic liquid crystals with finite anchoring. United States. https://doi.org/10.1063/1.4940342
Zhang, Rui, Roberts, Tyler, Aranson, Igor S., and de Pablo, Juan J. Sun . "Lattice Boltzmann simulation of asymmetric flow in nematic liquid crystals with finite anchoring". United States. https://doi.org/10.1063/1.4940342. https://www.osti.gov/servlets/purl/1351106.
@article{osti_1351106,
title = {Lattice Boltzmann simulation of asymmetric flow in nematic liquid crystals with finite anchoring},
author = {Zhang, Rui and Roberts, Tyler and Aranson, Igor S. and de Pablo, Juan J.},
abstractNote = {Liquid crystals (LCs) display many of the flow characteristics of liquids but exhibit long range orientational order. In the nematic phase, the coupling of structure and flow leads to complex hydrodynamic effects that remain to be fully elucidated. Here, we consider the hydrodynamics of a nematic LC in a hybrid cell, where opposite walls have conflicting anchoring boundary conditions, and we employ a 3D lattice Boltzmann method to simulate the time-dependent flow patterns that can arise. Due to the symmetry breaking of the director field within the hybrid cell, we observe that at low to moderate shear rates, the volumetric flow rate under Couette and Poiseuille flows is different for opposite flow directions. At high shear rates, the director field may undergo a topological transition which leads to symmetric flows. Here, by applying an oscillatory pressure gradient to the channel, a net volumetric flow rate is found to depend on the magnitude and frequency of the oscillation, as well as the anchoring strength. Taken together, our findings suggest several intriguing new applications for LCs in microfluidic devices.},
doi = {10.1063/1.4940342},
journal = {Journal of Chemical Physics},
number = 8,
volume = 144,
place = {United States},
year = {Sun Feb 28 00:00:00 EST 2016},
month = {Sun Feb 28 00:00:00 EST 2016}
}

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