Three-dimensional coating flow of nematic liquid crystal on an inclined substrate†
Three-dimensional coating flow of nematic liquid crystal on an inclined substrate†
复制标题
向列液晶在倾斜基板上的三维涂覆流动†
DOI：
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发表时间：
2015
影响因子：
1.9
通讯作者：
L. Kondic
中科院分区：
文献类型：
--
作者：
M. Lam;L. Cummings;T. Lin;L. Kondic
本文研究了倾斜衬底上液晶流体薄膜的涂敷流动。利用感兴趣的几何形状中的小纵横比，四阶非线性偏微分方程被用来模拟自由表面的演变。特别注意的是支付给体弹性和锚定条件之间的相互作用在基板和自由表面。先前的结果已经表明，存在沿衬底向下平移的二维行波解。与类似的牛顿流相反，这种解对于流向扰动可能是不稳定的.扩展牛顿流的著名结果，我们分析了横向扰动的稳定性。使用完整的数值模拟，我们验证了线性稳定性理论和目前的例子下斜坡流动的液晶在横向和流向不稳定性的存在。
We consider a coating flow of nematic liquid crystal (NLC) fluid film on an inclined substrate. Exploiting the small aspect ratio in the geometry of interest, a fourth-order nonlinear partial differential equation is used to model the free surface evolution. Particular attention is paid to the interplay between the bulk elasticity and the anchoring conditions at the substrate and free surface. Previous results have shown that there exist two-dimensional travelling wave solutions that translate down the substrate. In contrast to the analogous Newtonian flow, such solutions may be unstable to streamwise perturbations. Extending well-known results for Newtonian flow, we analyse the stability of the front with respect to transverse perturbations. Using full numerical simulations, we validate the linear stability theory and present examples of downslope flow of nematic liquid crystal in the presence of both transverse and streamwise instabilities.