Poiseuille flow of a smectic a liquid crystal

Alan Walker; Iain W. Stewart

doi:10.1016/j.ijengsci.2010.06.009

Poiseuille flow of a smectic a liquid crystal

Alan Walker, Iain W. Stewart

Faculty of Computing, Engineering and Science

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

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 [1]. 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. [1] I.W. Stewart, Dynamic theory for smectic A liquid crystals, Continuum Mech. Thermodyn. 18 (2007) 343-360.

Original language	English
Pages (from-to)	1961 - 1970
Number of pages	9
Journal	International Journal of Engineering Science
Volume	48
Issue number	12
DOIs	https://doi.org/10.1016/j.ijengsci.2010.06.009
Publication status	Published - 15 Sept 2010

Keywords

Smectic liquid crystals
Poiseuille flow
Permeation

Access to Document

10.1016/j.ijengsci.2010.06.009Licence: CC BY-NC-ND

Cite this

@article{7c7fcc9c015747299abe9a00981923c2,

title = "Poiseuille flow of a smectic a liquid crystal",

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 [1]. 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. [1] I.W. Stewart, Dynamic theory for smectic A liquid crystals, Continuum Mech. Thermodyn. 18 (2007) 343-360.",

keywords = "Smectic liquid crystals, Poiseuille flow, Permeation",

author = "Alan Walker and Stewart, {Iain W.}",

year = "2010",

month = sep,

day = "15",

doi = "10.1016/j.ijengsci.2010.06.009",

language = "English",

volume = "48",

pages = "1961 -- 1970",

journal = "International Journal of Engineering Science",

publisher = "Elsevier",

number = "12",

}

TY - JOUR

T1 - Poiseuille flow of a smectic a liquid crystal

AU - Walker, Alan

AU - Stewart, Iain W.

PY - 2010/9/15

Y1 - 2010/9/15

N2 - 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 [1]. 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. [1] I.W. Stewart, Dynamic theory for smectic A liquid crystals, Continuum Mech. Thermodyn. 18 (2007) 343-360.

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 [1]. 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. [1] I.W. Stewart, Dynamic theory for smectic A liquid crystals, Continuum Mech. Thermodyn. 18 (2007) 343-360.

KW - Smectic liquid crystals

KW - Poiseuille flow

KW - Permeation

U2 - 10.1016/j.ijengsci.2010.06.009

DO - 10.1016/j.ijengsci.2010.06.009

M3 - Article

VL - 48

SP - 1961

EP - 1970

JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

IS - 12

ER -

Poiseuille flow of a smectic a liquid crystal

Abstract

Keywords

Access to Document

Fingerprint

Cite this