Converging flow of tumbling nematic liquid crystals
Converging flow of tumbling nematic liquid crystals
复制标题
翻滚向列液晶的汇聚流
DOI：
10.1080/02678298908029179
复制
发表时间：
1989
期刊：
影响因子：
2.2
通讯作者：
M. Denn
中科院分区：
文献类型：
--
作者：
A. Rey;M. Denn
本文给出了具有翻滚不稳定性（α3 > 0）的双相液晶会聚面间流动的Leslie-Ericksen方程的相似解。中心面附近的稳定拉伸流、边界面附近的不稳定剪切流以及边界面和中心面附近的稳定弗兰克弹性的相对强度允许各种指向矢分布，这取决于流变参数;所有分布在埃里克森数的临界值处变得不稳定，导致α3接近于零时的展曲壁。径向不均匀磁场可以抑制这种不稳定性。对于展曲壁和边界层的过渡区和特征尺寸，得到了封闭形式的解析解。
Abstract A similarity solution of the Leslie-Ericksen equations is obtained for flow between converging planes for nematic liquid crystals which experience a tumbling instability (α3 > 0). The relative intensities of the stabilizing extensional flow near the centre plane, the destabilizing shear flow near the bounding plane, and the stabilizing Frank elasticity near both the boundary and the centre planes admit a variety of director distributions, depending on the rheological parameters; all distributions become unstable at critical values of the Ericksen number, leading to splay-bend walls for α3 close to zero. A radial inhomogeneous magnetic field can suppress the instability. Closed-form analytical solutions are obtained for the transitions and the characteristic dimensions of splay-bend walls and boundary layers.