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Couette flow of a smectic A liquid crystal

Walker, A.J. and Stewart, I.W. (2009) Couette flow of a smectic A liquid crystal. Journal of Physics: Condensed Matter, 21 (15). pp. 155101-1. ISSN 0953-8984

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Abstract

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.

Item type: Article
ID code: 19219
Keywords: undulation, alignment, soft matter, liquids, polymers, fluid dynamics, Mathematics, Physics
Subjects: Science > Mathematics
Science > Physics
Department: Faculty of Science > Mathematics and Statistics
Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 14 Jun 2010 16:50
    Last modified: 17 Jul 2013 01:06
    URI: http://strathprints.strath.ac.uk/id/eprint/19219

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