Poiseuille flow of a smectic A liquid crystal

Alan Walker, Iain Stewart

Research output: Contribution to journalArticle

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 SmecticA[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 theresponse time for small perturbations to the smectic layers depends upon the permeation
constant and the layer compression modulus.
Original languageEnglish
Pages (from-to)1961-1970
Number of pages10
JournalInternational Journal of Engineering Science
Volume48
Issue number12
DOIs
Publication statusPublished - 2010
Externally publishedYes

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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 SmecticA[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 theresponse time for small perturbations to the smectic layers depends upon the permeationconstant and the layer compression modulus.",
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Poiseuille flow of a smectic A liquid crystal. / Walker, Alan; Stewart, Iain.

In: International Journal of Engineering Science, Vol. 48, No. 12, 2010, p. 1961-1970.

Research output: Contribution to journalArticle

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AU - Stewart, Iain

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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 SmecticA[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 theresponse time for small perturbations to the smectic layers depends upon the permeationconstant and the layer compression modulus.

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