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Orientation Instability of Shear Flow of a Nematic Liquid Crystal

机译:向列液晶剪切流的取向不稳定性

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摘要

The instability of shear flow of a nematic liquid crystal layer is studied. The case when the orientation vector and the flow velocity vector are parallel is considered. It is shown that the orientation instability of this flow is possible if the anchoring boundary condition is weak and if the splay-bend constants in the Frank energy are taken into account. For this type of instability, periodic structures are possible to appear. Their wave vector belongs to the plane of flow and is perpendicular to the velocity vector. The medium parameters are estimated on the basis of the existence condition for this instability. The period of the appearing periodic structures is evaluated.
机译:研究了向列液晶层剪切流的不稳定性。考虑方向矢量和流速矢量平行的情况。结果表明,如果锚固边界条件较弱,并且考虑到弗兰克能量中的张开弯曲常数,则该流的取向不稳定是可能的。对于这种类型的不稳定性,可能会出现周期性结构。它们的波向量属于流平面,并且垂直于速度向量。基于该不稳定性的存在条件来估计介质参数。评估出现的周期性结构的周期。

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  • 来源
    《Moscow university mechanics bulletin》 |2016年第6期|142-144|共3页
  • 作者

    A. G. Kalugin;

  • 作者单位

    Moscow State University, Faculty of Mechanics and Mathematics,Leninskie Gory, Moscow, 119899, Russia;

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  • 正文语种 eng
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