Couette flow of a smectic A liquid crystal

A.J. Walker, I.W. Stewart

Research output: Contribution to journalArticle

5 Citations (Scopus)

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.
LanguageEnglish
Pages155101-1
Number of pages155100
JournalJournal of Physics: Condensed Matter
Volume21
Issue number15
DOIs
Publication statusPublished - 15 Apr 2009

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Liquid Crystals
Couette flow
Relaxation time
Liquid crystals
liquid crystals
Permeation
Viscosity
relaxation time
profiles
velocity distribution
viscosity
estimates
approximation

Keywords

  • undulation
  • alignment
  • soft matter
  • liquids
  • polymers
  • fluid dynamics

Cite this

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Couette flow of a smectic A liquid crystal. / Walker, A.J.; Stewart, I.W.

In: Journal of Physics: Condensed Matter, Vol. 21, No. 15, 15.04.2009, p. 155101-1.

Research output: Contribution to journalArticle

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AU - Walker, A.J.

AU - Stewart, I.W.

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AB - 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.

KW - undulation

KW - alignment

KW - soft matter

KW - liquids

KW - polymers

KW - fluid dynamics

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