Walker A J, Stewart I W
Department of Mathematics, University of Strathclyde, Livingstone Tower, 26 Richmond Street, Glasgow G1 1XH, UK.
J Phys Condens Matter. 2009 Apr 15;21(15):155101. doi: 10.1088/0953-8984/21/15/155101. Epub 2009 Mar 17.
This paper considers the dynamics of cylindrically arranged parallel layers of smectic A liquid crystal subjected to Couette flow. Governing equations are constructed using a recently developed dynamic theory for smectic A (Stewart 2007 Contin. Mech. Thermodyn. 18 343-60). These equations are solved to provide analytical solutions for the smectic layer undulations and velocity profiles. Results show the dependence of the response time of the smectic layers upon the permeation constant and the layer compression modulus. The relaxation times for the flow profiles are shown to depend upon two viscosities; estimates for these times are shown to be shorter than that for a typical approximation to the relaxation time of the smectic layer undulations.
本文考虑了受到库埃特流作用的近晶A液晶圆柱排列平行层的动力学。利用最近发展的近晶A动态理论（Stewart，2007年，《连续介质力学与热力学》，第18卷，343 - 60页）构建了控制方程。求解这些方程以提供近晶层起伏和速度分布的解析解。结果表明近晶层响应时间对渗透常数和层压缩模量的依赖性。流动分布的弛豫时间显示取决于两种粘度；这些时间的估计值表明比近晶层起伏弛豫时间的典型近似值要短。
