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Related papers: Permeative flows in cholesteric liquid crystals

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We explore the rheology and flow-induced morphological changes of cholesteric liquid crystal patterns subject to Poiseuille flow within a slab geometry, and under different anchoring conditions at the wall. Our focus is particularly on the…

Soft Condensed Matter · Physics 2017-02-15 Oliver Wiese , Davide Marenduzzo , Oliver Henrich

Permeative flows, known for the explanation of the anomalous viscosity (10^5 Poise) in cholesterics at low shear rates, are still under debate due to the difficulty of experiments. Here we use the Surface Force Balance, in which uniform…

Soft Condensed Matter · Physics 2023-05-11 Weichao Zheng

Lattice Boltzmann simulations are used to explore the behavior of liquid crystals subject to Poiseuille flow. In the nematic regime at low shear rates we find two possible steady state configurations of the director field. The selected…

Soft Condensed Matter · Physics 2007-05-23 Colin Denniston , Enzo Orlandini , J. M. Yeomans

Blue phases of cholesteric liquid crystals offer a spectacular example of naturally occurring disclination line networks. Here we numerically solve the hydrodynamic equations of motion to investigate the response of three types of blue…

Soft Condensed Matter · Physics 2009-11-11 A. Dupuis , D. Marenduzzo , E. Orlandini , J. M. Yeomans

The dynamics of a quasi two-dimensional isotropic droplet in a cholesteric liquid crystal medium under symmetric shear flow is studied by lattice Boltzmann simulations. We consider a geometry in which the flow direction is along the axis of…

Soft Condensed Matter · Physics 2018-07-13 Federico Fadda , Giuseppe Gonnella , Antonio Lamura , Enzo Orlandini , Adriano Tiribocchi

We use lattice Boltzmann simulations of the Beris--Edwards formulation of nematodynamics to probe the response of a nematic liquid crystal with conflicting anchoring at the boundaries under shear and Poiseuille flow. The geometry we focus…

Soft Condensed Matter · Physics 2009-11-10 D. Marenduzzo , E. Orlandini , J. M. Yeomans

We numerically study the dynamics of quasi-two dimensional cholesteric liquid crystal droplets in the presence of a time-dependent electric field, rotating at constant angular velocity. A surfactant sitting at droplet interface is also…

Soft Condensed Matter · Physics 2023-03-13 F. Fadda , A. Lamura , A. Tiribocchi

We present a lattice Boltzmann algorithm for liquid crystal hydrodynamics. The coupling between the tensor order parameter and the flow is treated consistently allowing investigation of a wide range of non-Newtonian flow behavior. We…

Soft Condensed Matter · Physics 2007-05-23 Colin Denniston , E. Orlandini , J. M. Yeomans

Here we review a hybrid lattice Boltzmann algorithm to solve the equations of motion of cholesteric liquid crystals. The method consists in coupling a lattice Boltzmann solver for the Navier-Stokes equation to a finite difference method to…

Soft Condensed Matter · Physics 2011-12-16 O. Henrich , D. Marenduzzo , K. Stratford , M. E. Cates

We study a simplified Ericksen-Leslie system modeling the flow of nematic liquid crystals with partially free boundary conditions. It is a coupled system between the Navier-Stokes equation for the fluid velocity with a transported heat flow…

Analysis of PDEs · Mathematics 2023-03-22 Fanghua Lin , Yannick Sire , Juncheng Wei , Yifu Zhou

Motivated by the variety of applications in which nematic Hele-Shaw flow occurs, a theoretical model for Hele-Shaw flow of a nematic liquid crystal is formulated and analysed. We derive the thin-film Ericksen-Leslie equations that govern…

Soft Condensed Matter · Physics 2024-09-10 Joseph R. L. Cousins , Nigel J. Mottram , Stephen K. Wilson

Understanding the flow of liquid crystals in microfluidic environments plays an important role in many fields, including device design and microbiology. We perform hybrid lattice-Boltzmann simulations of a nematic liquid crystal flowing…

Soft Condensed Matter · Physics 2015-06-25 V. M. O. Batista , M. L. Blow , M. M. Telo da Gama

We exploit a two-dimensional model [7], [6] and [1] describing the elastic behavior of the wall of a flexible blood vessel which takes interaction with surrounding muscle tissue and the 3D fluid flow into account. We study time periodic…

Analysis of PDEs · Mathematics 2021-07-28 V. Kozlov , S. Nazarov , G. Zavorokhin

We present explicit expressions of the helicity conservation in nematic liquid crystal flows, for both the Ericksen-Leslie and Landau-de Gennes theories. This is done by using a minimal coupling argument that leads to an Euler-like equation…

Soft Condensed Matter · Physics 2010-10-18 François Gay-Balmaz , Cesare Tronci

We consider the Beris-Edwards system modelling incompressible liquid crystal flows of nematic type. This couples a Navier-Stokes system for the fluid velocity with a parabolic reaction-convection-diffusion equation for the Q-tensors…

Analysis of PDEs · Mathematics 2023-07-28 Hao Wu , Xiang Xu , Arghir Zarnescu

We use a lattice Boltzmann method to study pattern formation in chemically reactive binary fluids in the regime where hydrodynamic effects are important. The coupled equations solved by the method are a Cahn-Hilliard equation, modified by…

Soft Condensed Matter · Physics 2009-11-11 K. Furtado , J. M. Yeomans

Lattice Boltzmann simulations have become a method of choice to solve the hydrodynamic equations of motion of a number of complex fluids. Here we review some recent applications of lattice Boltzmann to study the hydrodynamics of liquid…

Soft Condensed Matter · Physics 2010-09-08 M. E. Cates , O. Henrich , D. Marenduzzo , K. Stratford

In order to understand the flow profiles of complex fluids, a crucial issue concerns the emergence of spatial correlations among plastic rearrangements exhibiting cooperativity flow behaviour at the macroscopic level. In this paper, the…

Fluid Dynamics · Physics 2014-07-01 B. Dollet , A. Scagliarini , M. Sbragaglia

Fluid transport in porous materials is commonly studied in geological samples (soil, sediments etc.) or idealized systems, but the fluid flow through compacted granular materials, consisting of substantially strained granules, remains…

Soft Condensed Matter · Physics 2019-02-13 Pawel Gniewek , Oskar Hallatschek

Multi-component fluid flow simulations in multi-scale porous structures often involve regions that are under-resolved at practical computational resolutions. Accurately capturing the contributions from these unresolved regions is critical.…

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