基于液晶引流效应的上板游离态液晶盒数值计算研究

王安标; 田勇; 刘春波; 崔帆

doi:10.21656/1000-0887.370347

基于液晶引流效应的上板游离态液晶盒数值计算研究

doi: 10.21656/1000-0887.370347

河南工业大学机电工程学院, 郑州 450001

详细信息

作者简介:
王安标（1990—），男，硕士(通讯作者. E-mail: hgdwab@163.com).

中图分类号: O373
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出版历程
- 收稿日期: 2016-11-14
- 修回日期: 2017-08-30
- 刊出日期: 2017-11-15

Numerical Calculation of Liquid Crystal Cells With Free-State Upper Plates Based on the Liquid Crystalline Backflow Effects

School of Mechanical and Electrical Engineering, Henan University of Technology, Zhengzhou 450001, P.R.China

摘要

摘要: 以小分子液晶Leslie-Ericksen理论为基础，建立液晶盒上基片游离状态的计算模型，在给出边界初始条件的基础上，运用二阶Runge-Kutta(龙格-库塔)法与中心差分法对方程组进行时空离散，通过MATLAB编写计算程序，调整计算参数得出液晶盒厚度、液晶盒两端所施加电场参数对液晶引流的影响.结果表明：液晶指向矢的大小随液晶盒上下基板所施加电场的交变而交变，并引起液晶引流速度大小交变；随着液晶盒厚度的增加，液晶盒上基片在一个周期内移动的位移也在增加；液晶盒两端所施加电场的占空比基本上不影响液晶盒上基片速度的大小，对液晶盒上基片速度最大值出现的时间点影响很大；通过与实验数据相对比，液晶盒上基片位移数值大小在同一个数量级，运动轨迹比较吻合.
- 液晶引流效应 /
- Leslie-Ericksen理论 /
- 液晶盒
Abstract: Based on the Leslie-Ericksen theory for small molecule liquid crystals, a calculation model was established for liquid crystal cells with free-state upper plates. Under the specified initial boundary conditions, the 2nd-order Runge-Kutta method and the central difference method were applied to conduct spatial-temporal discretization of the equation set. Additionally, a calculation program was compiled on MATLAB. Then, the calculation parameters were adjusted to obtain the influences of the liquid crystal cell thickness and the electric field parameters imposed at 2 ends of the cell on the liquid crystalline backflow. The results indicate that, the size of the liquid crystal director alternates with the alternation of the electric field imposed on the upper and lower plates of the liquid crystal cell. With the increment of the cell thickness, the displacement of the upper plate within a period also increases. The duty ratio of the electric field imposed at 2 ends of the cell has little impact on the upper plate speed, but has large influence on the occurring time point of the maximal upper plate speed. Compared with the experimental data, the calculated displacement values of the upper plate of the liquid crystal cell are of the same orders, and the movement loci are in good agreement.
- liquid crystalline backflow effect /
- Leslie-Ericksen theory /
- liquid crystal cell

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