Couette flow of a Smectic A Liquid Crystal

Alan Walker, Iain W. Stewart

Research output: Contribution to journalArticlepeer-review


This article considers the dynamics of cylindrically arranged parallel layers of smectic~A liquid crystal subjected to Couette flow. Governing equations are constructed using a recent dynamic theory for Smectic A [1]. 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. [1] I. W. Stewart, Continuum Mech. Thermodyn., (2007) 18, 343-360.
Original languageEnglish
JournalJournal of Physics: Condensed Matter
Publication statusPublished - 17 Mar 2009


  • smectic A
  • Couette flow
  • Permeation


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