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

Zhang, Rui; Roberts, Tyler; Aranson, Igor S.; de Pablo, Juan J.

doi:10.1063/1.4940342

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

Journal Article · Sun Feb 28 00:00:00 EST 2016 · Journal of Chemical Physics

DOI:https://doi.org/10.1063/1.4940342· OSTI ID:1351106

Zhang, Rui ^[1]; Roberts, Tyler ^[1]; Aranson, Igor S. ^[2]; de Pablo, Juan J. ^[3]

Univ. of Chicago, IL (United States)
Argonne National Lab. (ANL), Argonne, IL (United States)
Univ. of Chicago, IL (United States); Argonne National Lab. (ANL), Argonne, IL (United States)

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.

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Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; National Science Foundation (NSF)

Grant/Contract Number:: AC02-06CH11357; DMR-1410674

OSTI ID:: 1351106

Journal Information:: Journal of Chemical Physics, Vol. 144, Issue 8; ISSN 0021-9606

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 28 works

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References (62)

Direct Measurement of Fluid Mechanical Properties in Micro Space: Liquid Crystal Orientation under Shear Soga, Iwao; Dhinojwala, Ali; Granick, Steve Japanese Journal of Applied Physics, Vol. 38, Issue Part 1, No. 10 https://doi.org/10.1143/JJAP.38.6118	journal	October 1999
Landau–de Gennes modelling of nematic liquid crystal colloids Ravnik, Miha; Žumer, Slobodan Liquid Crystals, Vol. 36, Issue 10-11 https://doi.org/10.1080/02678290903056095	journal	August 2009
Constitutive Equation for Nematic Liquid Crystals under Weak Velocity Gradient Derived from a Molecular Kinetic Equation Kuzuu, Nobu; Doi, Masao Journal of the Physical Society of Japan, Vol. 52, Issue 10 https://doi.org/10.1143/JPSJ.52.3486	journal	October 1983
Rheology of distorted nematic liquid crystals Marenduzzo, D.; Orlandini, E.; Yeomans, J. M. arXiv https://doi.org/10.48550/arxiv.cond-mat/0308531	text	January 2003
Flow alignment in a shearing nematic liquid crystal near a charged surface Zakharov, A. V.; Dong, Ronald Y. Physical Review E, Vol. 65, Issue 5 https://doi.org/10.1103/PhysRevE.65.052701	journal	May 2002
Lattice Boltzmann simulations of liquid crystal hydrodynamics Denniston, Colin; Orlandini, Enzo; Yeomans, J. M. Physical Review E, Vol. 63, Issue 5 https://doi.org/10.1103/PhysRevE.63.056702	journal	April 2001
Continuous Particle Separation Through Deterministic Lateral Displacement Huang, L. R. Science, Vol. 304, Issue 5673 https://doi.org/10.1126/science.1094567	journal	May 2004
Poisson-bracket approach to the dynamics of nematic liquid crystals Stark, H.; Lubensky, T. C. Physical Review E, Vol. 67, Issue 6 https://doi.org/10.1103/PhysRevE.67.061709	journal	June 2003
A Study of Flow Alignment Instability During Rectilinear Oscillatory Shear of Nematics Clark, M. G.; Saunders, F. C.; Shanks, I. A. Molecular Crystals and Liquid Crystals, Vol. 70, Issue 1 https://doi.org/10.1080/00268948108073590	journal	August 1981
Flow patterns and disclination-density measurements in sheared nematic liquid crystals II: Tumbling 8CB Mather, P. T.; Pearson, D. S.; Larson, R. G. Liquid Crystals, Vol. 20, Issue 5 https://doi.org/10.1080/02678299608031140	journal	May 1996
A Boundary‐Layer Effect in Viscometry of Liquid Crystals Ericksen, J. L. Transactions of the Society of Rheology, Vol. 13, Issue 1 https://doi.org/10.1122/1.549158	journal	March 1969
Some Constitutive Equations for Anisotropic Fluids Leslie, F. M. The Quarterly Journal of Mechanics and Applied Mathematics, Vol. 19, Issue 3 https://doi.org/10.1093/qjmam/19.3.357	journal	January 1966
Discrete lattice effects on the forcing term in the lattice Boltzmann method Guo, Zhaoli; Zheng, Chuguang; Shi, Baochang Physical Review E, Vol. 65, Issue 4 https://doi.org/10.1103/PhysRevE.65.046308	journal	April 2002
Shear response of monodomains of flow-aligning nematic liquid crystals: TIF model comparisons and effect of pre-tilt Van Horn, Brett L.; Boudreau, David M.; Winter, H. Henning Rheologica Acta, Vol. 42, Issue 6 https://doi.org/10.1007/s00397-003-0315-x	journal	November 2003
Lattice Boltzmann algorithm for three–dimensional liquid–crystal hydrodynamics Denniston, C.; Marenduzzo, D.; Orlandini, E. Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 362, Issue 1821 https://doi.org/10.1098/rsta.2004.1416	journal	June 2004
Rheology of distorted nematic liquid crystals Marenduzzo, D.; Orlandini, E.; Yeomans, J. M. Europhysics Letters (EPL), Vol. 64, Issue 3 https://doi.org/10.1209/epl/i2003-00217-9	journal	November 2003
Structural response of nematic liquid crystals to weak transient shear flows Mather, P. T.; Pearson, D. S.; Burghardt, W. R. Journal of Rheology, Vol. 39, Issue 3 https://doi.org/10.1122/1.550715	journal	May 1995
Colloids in liquid crystals: a lattice Boltzmann study Lintuvuori, J. S.; Marenduzzo, D.; Stratford, K. Journal of Materials Chemistry, Vol. 20, Issue 46 https://doi.org/10.1039/c0jm01824d	journal	January 2010
Finite-element modeling of liquid-crystal hydrodynamics with a variable degree of order James, R.; Willman, E.; FernandezFernandez, F. A. IEEE Transactions on Electron Devices, Vol. 53, Issue 7 https://doi.org/10.1109/TED.2006.876039	journal	July 2006
Flow patterns and disclination-density measurements in sheared nematic liquid crystals I: Flow-aligning 5CB Mather, P. T.; Pearson, D. S.; Larson, R. G. Liquid Crystals, Vol. 20, Issue 5 https://doi.org/10.1080/02678299608031139	journal	May 1996
Theory of the nonequilibrium phase transition for nematic liquid crystals under shear flow Olmsted, Peter D.; Goldbart, Paul Physical Review A, Vol. 41, Issue 8 https://doi.org/10.1103/PhysRevA.41.4578	journal	April 1990
Computer simulation of liquid crystals Care, C. M.; Cleaver, D. J. Reports on Progress in Physics, Vol. 68, Issue 11 https://doi.org/10.1088/0034-4885/68/11/R04	journal	September 2005
Interaction between Particles in a Nematic Liquid Crystal: Numerical Study Using the Landau-de Gennes Continuum Theory Fukuda, Jun-ichi; Yokoyama, Hiroshi; Yoneya, Makoto Molecular Crystals and Liquid Crystals, Vol. 435, Issue 1 https://doi.org/10.1080/15421400590956045	journal	June 2005
Poisson bracket formulation of incompressible flow equations in continuum mechanics Beris, A. N.; Edwards, B. J. Journal of Rheology, Vol. 34, Issue 1 https://doi.org/10.1122/1.550114	journal	January 1990
Flow-driven transition and associated velocity profiles in a nematic liquid-crystal cell Jewell, S. A.; Cornford, S. L.; Yang, F. Physical Review E, Vol. 80, Issue 4 https://doi.org/10.1103/PhysRevE.80.041706	journal	October 2009
Generalized constitutive equation for polymeric liquid crystals Edwards, Brian J.; Beris, Antony N.; Grmela, Miroslav Journal of Non-Newtonian Fluid Mechanics, Vol. 36 https://doi.org/10.1016/0377-0257(90)85011-M	journal	December 1990
Lattice Boltzmann simulations of liquid crystalline fluids: active gels and blue phases Cates, M. E.; Henrich, O.; Marenduzzo, D. Soft Matter, Vol. 5, Issue 20 https://doi.org/10.1039/b908659p	journal	January 2009
Back‐flow and flow‐alignment in pulsatile flows of Leslie–Ericksen liquid crystals de Andrade Lima, L. R. P.; Rey, A. D. Liquid Crystals, Vol. 33, Issue 6 https://doi.org/10.1080/02678290600703973	journal	June 2006
Living liquid crystals Zhou, S.; Sokolov, A.; Lavrentovich, O. D. Proceedings of the National Academy of Sciences, Vol. 111, Issue 4 https://doi.org/10.1073/pnas.1321926111	journal	January 2014
Endotoxin-Induced Structural Transformations in Liquid Crystalline Droplets Lin, I. -H.; Miller, D. S.; Bertics, P. J. Science, Vol. 332, Issue 6035 https://doi.org/10.1126/science.1195639	journal	May 2011
Living Liquid Crystals Zhou, Shuang; Sokolov, Andrey; Lavrentovich, Oleg D. Biophysical Journal, Vol. 106, Issue 2 https://doi.org/10.1016/j.bpj.2013.11.2363	journal	January 2014
Stress tensor for a nematic liquid crystal Parodi, O. Journal de Physique, Vol. 31, Issue 7 https://doi.org/10.1051/jphys:01970003107058100	journal	January 1970
Dynamics of shear aligning of nematic liquid crystal monodomains Van Horn, Brett L.; Winter, H. Henning Rheologica Acta, Vol. 39, Issue 3 https://doi.org/10.1007/s003970000111	journal	August 2000
Computer simulation of liquid crystals Allen, Michael P.; Wilson, Mark R. Journal of Computer-Aided Molecular Design, Vol. 3, Issue 4 https://doi.org/10.1007/bf01532020	journal	December 1989
Two-Dimensional Nematic Colloidal Crystals Self-Assembled by Topological Defects Musevic, I. Science, Vol. 313, Issue 5789 https://doi.org/10.1126/science.1129660	journal	August 2006
Interplay between shear flow and elastic deformations in liquid crystals Marenduzzo, D.; Orlandini, E.; Yeomans, J. M. The Journal of Chemical Physics, Vol. 121, Issue 1 https://doi.org/10.1063/1.1757441	journal	January 2004
Lattice Boltzmann scheme for modeling liquid-crystal dynamics: Zenithal bistable device in the presence of defect motion Spencer, T. J.; Care, C. M. Physical Review E, Vol. 74, Issue 6 https://doi.org/10.1103/PhysRevE.74.061708	journal	December 2006
Novel Colloidal Interactions in Anisotropic Fluids Poulin, P. Science, Vol. 275, Issue 5307 https://doi.org/10.1126/science.275.5307.1770	journal	March 1997
Study of Liquid Crystals in Flow: I. Conventional Viscometry and Density Measurements White, A. E.; Cladis, P. E.; Torza, S. Molecular Crystals and Liquid Crystals, Vol. 43, Issue 1-2 https://doi.org/10.1080/00268947708084931	journal	January 1977
Liquid crystal microfluidics: surface, elastic and viscous interactions at microscales Sengupta, Anupam; Herminghaus, Stephan; Bahr, Christian Liquid Crystals Reviews, Vol. 2, Issue 2 https://doi.org/10.1080/21680396.2014.963716	journal	July 2014
Generalized constitutive equation for polymeric liquid crystals Part 1. Model formulation using the Hamiltonian (poisson bracket) formulation Edwards, Brian J.; Beris, Antony N.; Grmela, Miroslav Journal of Non-Newtonian Fluid Mechanics, Vol. 35, Issue 1 https://doi.org/10.1016/0377-0257(90)85072-7	journal	January 1990
Small Surface Pretilt Strikingly Affects the Director Profile during Poiseuille Flow of a Nematic Liquid Crystal Holmes, C. J.; Cornford, S. L.; Sambles, J. R. Physical Review Letters, Vol. 104, Issue 24 https://doi.org/10.1103/PhysRevLett.104.248301	journal	June 2010
Two shear flow regimes in nematic liquid crystals: Near a charged surface and in the bulk Zakharov, A. V.; Dong, Ronald Y. The Journal of Chemical Physics, Vol. 116, Issue 14 https://doi.org/10.1063/1.1460864	journal	April 2002
Maximizing memory Muševič, Igor; Žumer, Slobodan Nature Materials, Vol. 10, Issue 4 https://doi.org/10.1038/nmat3000	journal	March 2011
Liquid Crystal Microfluidics for Tunable Flow Shaping Sengupta, Anupam; Tkalec, Uroš; Ravnik, Miha Physical Review Letters, Vol. 110, Issue 4 https://doi.org/10.1103/PhysRevLett.110.048303	journal	January 2013
Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known Womersley, J. R. The Journal of Physiology, Vol. 127, Issue 3 https://doi.org/10.1113/jphysiol.1955.sp005276	journal	March 1955
Generalized hydrodynamic equations for nematic liquid crystals Qian, Tiezheng; Sheng, Ping Physical Review E, Vol. 58, Issue 6 https://doi.org/10.1103/PhysRevE.58.7475	journal	December 1998
Modeling planar degenerate wetting and anchoring in nematic liquid crystals Fournier, J. -B; Galatola, P. Europhysics Letters (EPL), Vol. 72, Issue 3 https://doi.org/10.1209/epl/i2005-10253-5	journal	November 2005
Lattice Boltzmann algorithm to simulate isotropic-nematic emulsions Sulaiman, N.; Marenduzzo, D.; Yeomans, J. M. Physical Review E, Vol. 74, Issue 4 https://doi.org/10.1103/PhysRevE.74.041708	journal	October 2006
The effect of anchoring on nematic flow in channels Batista, V. M. O.; Blow, M. L.; da Gama, M. M. Telo arXiv https://doi.org/10.48550/arxiv.1409.4625	text	January 2014
Continuum Theory of Liquid Crystals of Nematic Type Ericksen, J. L. Molecular Crystals, Vol. 7, Issue 1 https://doi.org/10.1080/15421406908084869	journal	June 1969
Molecular alignment of polymer liquid crystals in shear flows. 2. Transient flow behavior in poly(benzyl glutamate) solutions Hongladarom, K.; Burghardt, W. R. Macromolecules, Vol. 26, Issue 4 https://doi.org/10.1021/ma00056a033	journal	July 1993
Surface waves in nematic liquid crystals Papoular, M.; Rapini, A. Solid State Communications, Vol. 7, Issue 22 https://doi.org/10.1016/0038-1098(69)90045-3	journal	November 1969
Interfacial Effects on the Viscosity of a Nematic Mesophase Fishers, Jay; Fredrickson, A. G. Molecular Crystals, Vol. 8, Issue 1 https://doi.org/10.1080/15421406908084908	journal	June 1969
Orientational transition in nematic liquid crystals under oscillatory Poiseuille flow Tóth, P.; Krekhov, A. P.; Kramer, L. Europhysics Letters (EPL), Vol. 51, Issue 1 https://doi.org/10.1209/epl/i2000-00336-3	journal	July 2000
Force driven separation of drops by deterministic lateral displacement Bowman, Timothy; Frechette, Joelle; Drazer, German Lab on a Chip, Vol. 12, Issue 16 https://doi.org/10.1039/c2lc40234c	journal	January 2012
Simulations of liquid crystals in Poiseuille flow Denniston, C.; Orlandini, E.; Yeomans, J. M. Computational and Theoretical Polymer Science, Vol. 11, Issue 5 https://doi.org/10.1016/S1089-3156(01)00004-6	journal	October 2001
The effect of anchoring on the nematic flow in channels Batista, Vera M. O.; Blow, Matthew L.; Telo da Gama, Margarida M. Soft Matter, Vol. 11, Issue 23 https://doi.org/10.1039/C5SM00249D	journal	January 2015
Programmed Adsorption and Release of Proteins in a Microfluidic Device Huber, Dale; Manginell, Ronald; Samara, Michael Science, Vol. 301, Issue 5631, p. 352-354 https://doi.org/10.1126/science.1080759	journal	July 2003
Oscillating Poiseuille flow in photo‐aligned liquid crystal cells Pasechnik, Sergey; Nasibullayev, Ildar; Shmeliova, Dina Liquid Crystals, Vol. 33, Issue 10 https://doi.org/10.1080/02678290600965457	journal	October 2006
Modeling flows of confined nematic liquid crystals Hernández-Ortiz, Juan P.; Gettelfinger, Brian T.; Moreno-Razo, Jose The Journal of Chemical Physics, Vol. 134, Issue 13 https://doi.org/10.1063/1.3567098	journal	April 2011
The Physics of Liquid Crystals de Gennes, P. G.; Prost, J.; Pelcovits, Robert Physics Today, Vol. 48, Issue 5 https://doi.org/10.1063/1.2808028	journal	May 1995

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37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
36 MATERIALS SCIENCE
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Title: Lattice Boltzmann simulation of asymmetric flow in nematic liquid crystals with finite anchoring

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