Couette flow of a smectic A liquid crystal

A J Walker, I W Stewart

Research output: Contribution to journalArticle

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.
Original languageEnglish
Article number155101
Number of pages7
JournalJournal of Physics: Condensed Matter
Volume21
Issue number15
DOIs
Publication statusPublished - 17 Mar 2009
Externally publishedYes

Fingerprint

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

Cite this

@article{a84ab06c4dc54a969948b44defbe2ab2,
title = "Couette flow of a smectic A liquid crystal",
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.",
author = "Walker, {A J} and Stewart, {I W}",
year = "2009",
month = "3",
day = "17",
doi = "10.1088/0953-8984/21/15/155101",
language = "English",
volume = "21",
journal = "Journal of Physics: Condensed Matter",
issn = "0953-8984",
publisher = "IOP Publishing",
number = "15",

}

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

In: Journal of Physics: Condensed Matter, Vol. 21, No. 15, 155101, 17.03.2009.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Couette flow of a smectic A liquid crystal

AU - Walker, A J

AU - Stewart, I W

PY - 2009/3/17

Y1 - 2009/3/17

N2 - 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.

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.

U2 - 10.1088/0953-8984/21/15/155101

DO - 10.1088/0953-8984/21/15/155101

M3 - Article

VL - 21

JO - Journal of Physics: Condensed Matter

JF - Journal of Physics: Condensed Matter

SN - 0953-8984

IS - 15

M1 - 155101

ER -