Poiseuille flow of a smectic A liquid crystal

Alan J. Walker; Iain Stewart

doi:10.1016/j.ijengsci.2010.06.009

Poiseuille flow of a smectic A liquid crystal

Alan J. Walker, Iain Stewart

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

This article considers the dynamics of smectic A liquid crystals subjected to Poiseuille flow. Linearised governing equations are constructed using a recent dynamic theory for Smectic A [36]. These equations are solved analytically and the consequent solutions are then calculated for some typical experimental data in order to determine the explicit flow behaviour. Stability of flow and layer structure solutions are proved. Results show how the response time for small perturbations to the smectic layers depends upon the permeation constant and the layer compression modulus.

Original language	English
Pages (from-to)	1961-1970
Number of pages	10
Journal	International Journal of Engineering Science
Volume	48
Issue number	12
Early online date	15 Jul 2010
DOIs	https://doi.org/10.1016/j.ijengsci.2010.06.009
Publication status	Published - Dec 2010

Keywords

smectic liquid crystals
poiseuille flow
permeation

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10.1016/j.ijengsci.2010.06.009

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AB - This article considers the dynamics of smectic A liquid crystals subjected to Poiseuille flow. Linearised governing equations are constructed using a recent dynamic theory for Smectic A [36]. These equations are solved analytically and the consequent solutions are then calculated for some typical experimental data in order to determine the explicit flow behaviour. Stability of flow and layer structure solutions are proved. Results show how the response time for small perturbations to the smectic layers depends upon the permeation constant and the layer compression modulus.

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