Finite-element modeling of liquid-crystal hydrodynamics with a variable degree of order

A finite-element model of liquid-crystal hydrodynamics based on the Qian and Sheng formulation has been developed. This formulation is a generalization of the Ericksen-Leslie theory to include variations in the order parameter, allowing for a proper description of disclinations. The present implemen...

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Bibliographic Details
Published in:IEEE transactions on electron devices 2006-07, Vol.53 (7), p.1575-1582
Main Authors: James, R., Willman, E., FernandezFernandez, F.A., Day, S.E.
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Cross-disciplinary physics: materials science
rheology
Disclinations
Exact sciences and technology
Finite element method
Finite element methods
Finite elements
Fluid flow
Hydrodynamics
Liquid crystals
Liquid crystals: nematic, cholesteric, smectic, discotic, etc
liquid-crystal (LC) modeling
Material form
Mathematical analysis
Mathematical models
Order parameters
Physics
Rheology
variable order parameter
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Summary:A finite-element model of liquid-crystal hydrodynamics based on the Qian and Sheng formulation has been developed. This formulation is a generalization of the Ericksen-Leslie theory to include variations in the order parameter, allowing for a proper description of disclinations. The present implementation is well suited to treat properly the various length scales necessary to model large regions yet resolve the rapid variations in the order parameter in proximity to disclinations
ISSN:0018-9383
1557-9646
DOI:10.1109/TED.2006.876039