Periodic disturbances in cylindrically layered smectic A

Alan.J. Walker, Iain.W. Stewart

Research output: Contribution to journalArticle

Abstract

The hydrodynamic equations for a cylindrically layered sample of smectic A liquid crystal are considered. Governing equations for the flow, pressure and smectic layer undulations are derived using a perturbation ansatz. Expressions for the radial flow velocity and the layer displacement are derived analytically and presented in the purely radial flow case. An expression for the relaxation rate is found and a bound for the spatial wave number is determined when zenithal flow is also considered. Plots of the solutions are given for illustration. Vindication of previous results is discussed.
Original languageEnglish
Pages (from-to)33-43
Number of pages11
JournalMolecular Crystals and Liquid Crystals
Volume478
Issue number1
DOIs
Publication statusPublished - 2007
Externally publishedYes

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radial flow
Radial flow
disturbances
Liquid Crystals
hydrodynamic equations
Flow velocity
radial velocity
Liquid crystals
Hydrodynamics
flow velocity
plots
liquid crystals
perturbation

Keywords

  • Cylindrical layers
  • Dynamics of liquid crystals
  • Smectic A liquid crystals
  • Stability

Cite this

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Periodic disturbances in cylindrically layered smectic A. / Walker, Alan.J.; Stewart, Iain.W.

In: Molecular Crystals and Liquid Crystals, Vol. 478, No. 1, 2007, p. 33-43.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Periodic disturbances in cylindrically layered smectic A

AU - Walker, Alan.J.

AU - Stewart, Iain.W.

PY - 2007

Y1 - 2007

N2 - The hydrodynamic equations for a cylindrically layered sample of smectic A liquid crystal are considered. Governing equations for the flow, pressure and smectic layer undulations are derived using a perturbation ansatz. Expressions for the radial flow velocity and the layer displacement are derived analytically and presented in the purely radial flow case. An expression for the relaxation rate is found and a bound for the spatial wave number is determined when zenithal flow is also considered. Plots of the solutions are given for illustration. Vindication of previous results is discussed.

AB - The hydrodynamic equations for a cylindrically layered sample of smectic A liquid crystal are considered. Governing equations for the flow, pressure and smectic layer undulations are derived using a perturbation ansatz. Expressions for the radial flow velocity and the layer displacement are derived analytically and presented in the purely radial flow case. An expression for the relaxation rate is found and a bound for the spatial wave number is determined when zenithal flow is also considered. Plots of the solutions are given for illustration. Vindication of previous results is discussed.

KW - Cylindrical layers

KW - Dynamics of liquid crystals

KW - Smectic A liquid crystals

KW - Stability

U2 - 10.1080/15421400701731995

DO - 10.1080/15421400701731995

M3 - Article

VL - 478

SP - 33

EP - 43

JO - Molecular Crystals and Liquid Crystals

JF - Molecular Crystals and Liquid Crystals

SN - 1563-5287

IS - 1

ER -