Periodic disturbances in cylindrically layered smectic A

Alan.J. Walker, Iain.W. Stewart

Research output: Contribution to journalArticle

4 Citations (Scopus)

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

Keywords

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

Fingerprint Dive into the research topics of 'Periodic disturbances in cylindrically layered smectic A'. Together they form a unique fingerprint.

  • Cite this