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Pressure-driven changes to spontaneous flow in active nematic liquid crystals.
The European Physical Journal E ( IF 1.8 ) Pub Date : 2020-08-04 , DOI: 10.1140/epje/i2020-11973-8
Joshua Walton 1 , Geoffrey McKay 1 , Michael Grinfeld 1 , Nigel J Mottram 2
Affiliation  

Abstract.

We consider the effects of a pressure gradient on the spontaneous flow of an active nematic liquid crystal in a channel, subject to planar anchoring and no-slip conditions on the boundaries of the channel. We employ a model based on the Ericksen-Leslie theory of nematics, with an additional active stress accounting for the activity of the fluid. By directly solving the flow equation, we consider an asymptotic solution for the director angle equation for large activity parameter values and predict the possible values of the director angle in the bulk of the channel. Through a numerical solution of the full nonlinear equations, we examine the effects of pressure on the branches of stable and unstable equilibria, some of which are disconnected from the no-flow state. In the absence of a pressure gradient, solutions are either symmetric or antisymmetric about the channel midpoint; these symmetries are changed by the pressure gradient. Considering the activity-pressure state space allows us to predict qualitatively the extent of each solution type and to show, for large enough pressure gradients, that a branch of non-trivial director angle solutions exists for all activity values.

Graphical abstract



中文翻译:

在向列型液晶中,压力驱动的自发流变。

摘要。

我们考虑了压力梯度对通道中活性向列型液晶自发流动的影响,在通道边界上受到平面锚固和无滑移条件的影响。我们采用基于埃里克森-莱斯利向列理论的模型,并附加了一个考虑液体活动性的主动应力。通过直接求解流动方程,我们考虑了针对较大活动参数值的指向矢角方程的渐近解,并预测了通道主体中指向矢角的可能值。通过完整非线性方程的数值解,我们研究了压力对稳定和不稳定平衡分支的影响,其中一些与无流动状态无关。在没有压力梯度的情况下,解决方案关于通道中点对称或反对称;这些对称性随压力梯度而改变。考虑活动压力状态空间可以使我们定性地预测每种溶液类型的程度,并显示出对于足够大的压力梯度而言,对于所有活动值都存在一个非平凡的指向矢解的分支。

图形概要

更新日期:2020-08-04
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