Abstract
This paper considers the dynamics of cylindrically arranged parallel layers of smectic Aliquid crystal subjected to Couette flow. Governing equations are constructed using arecently developed dynamic theory for smectic A (Stewart 2007 Contin. Mech. Thermodyn.18 343–60). These equations are solved to provide analytical solutions for thesmectic layer undulations and velocity profiles. Results show the dependence of theresponse time of the smectic layers upon the permeation constant and the layercompression modulus. The relaxation times for the flow profiles are shown todepend upon two viscosities; estimates for these times are shown to be shorterthan that for a typical approximation to the relaxation time of the smectic layerundulations.
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