Transitions in Poiseuille flow of nematic liquid crystal
Transitions in Poiseuille flow of nematic liquid crystal
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DOI：
10.1016/j.ijnonlinmec.2015.04.010
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发表时间：
2015-10-01
影响因子：
3.2
通讯作者：
Cummings, L. J.
中科院分区：
文献类型：
--
作者：
Anderson, T. G.;Mema, E.;Cummings, L. J.
Sengupta等人最近的实验（Phys.Rev.Lett. 2013年）[9]揭示了在仔细控制的条件下，在宽度远大于高度的长微流体通道内，以及在壁处的垂面锚定中，可发生在液晶的流动中的有趣的转变。在低流速下，导流片的导向场采用由表面锚定主导的配置，在大部分横截面上几乎平行于通道高度方向;但在高流速下，存在向流动主导状态的过渡，其中通道中心线处的导向器配置与流动（垂直于通道高度方向）对齐。我们分析简单的通道流的Leslie-Ericksen模型向列相的解决方案。我们表明，存在两种解决方案，在所有的流速，但这些解决方案的弹性自由能之间存在一个过渡：anchoringdominated解决方案具有最低的能量在低流速，和流量为主的解决方案具有最低的能量在高流速。(C)2015爱思唯尔有限公司版权所有。
Recent experiments by Sengupta et al. (Phys. Rev. Lett. 2013) [9] revealed interesting transitions that can occur in flow of nematic liquid crystal under carefully controlled conditions within a long microfluidic channel of width much larger than height, and homeotropic anchoring at the walls. At low flow rates the director field of the nematic adopts a configuration that is dominated by the surface anchoring, being nearly parallel to the channel height direction over most of the cross-section; but at high flow rates there is a transition to a flow-dominated state, where the director configuration at the channel centerline is aligned with the flow (perpendicular to the channel height direction). We analyze simple channel-flow solutions to the Leslie-Ericksen model for nematics. We demonstrate that two solutions exist, at all flow rates, but that there is a transition between the elastic free energies of these solutions: the anchoringdominated solution has the lowest energy at low flow rates, and the flow-dominated solution has lowest energy at high flow rates. (C) 2015 Elsevier Ltd. All rights reserved.