Numerical investigation of director orientation and flow of nematic liquid crystal in a planar 1:4 expansion

Pedro A. Cruz, Murilo F. Tome, Iain Stewart, Sean Mckee

Research output: Contribution to journalArticle

Abstract

Numerical solutions to the equations describing Ericksen–Leslie dynamic theory for 2D nematic liquid crystal flows subject to a magnetic field are obtained. The governing equations are solved by a finite difference technique based on the GENSMAC methodology. The resulting numerical technique was verified by comparing numerical solutions for 2D-channel flow by means of mesh refinement. To demonstrate the capabilities of this method, the flow of a nematic liquid crystal in a planar 1:4 expansion was simulated. Calculations were performed for various Ericksen and Reynolds numbers. The results showed that an increase in the Ericksen number caused the appearance of lip and corner vortices.
LanguageEnglish
Pages1017-1030
Number of pages14
JournalJournal of Mechanics of Materials and Structures
Volume6
Issue number7-8
DOIs
Publication statusPublished - 21 Dec 2011

Fingerprint

Nematic liquid crystals
Nematic Liquid Crystal
Numerical Investigation
Numerical Solution
Finite Difference Technique
Dynamics (theory)
Channel Flow
Mesh Refinement
Channel flow
Numerical Techniques
Reynolds number
Vortex
Governing equation
Vortex flow
Magnetic Field
Magnetic fields
Methodology
Demonstrate

Keywords

  • nematic liquid crystal
  • Ericksen–Leslie equations
  • finite difference
  • two-dimensional flow

Cite this

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title = "Numerical investigation of director orientation and flow of nematic liquid crystal in a planar 1:4 expansion",
abstract = "Numerical solutions to the equations describing Ericksen–Leslie dynamic theory for 2D nematic liquid crystal flows subject to a magnetic field are obtained. The governing equations are solved by a finite difference technique based on the GENSMAC methodology. The resulting numerical technique was verified by comparing numerical solutions for 2D-channel flow by means of mesh refinement. To demonstrate the capabilities of this method, the flow of a nematic liquid crystal in a planar 1:4 expansion was simulated. Calculations were performed for various Ericksen and Reynolds numbers. The results showed that an increase in the Ericksen number caused the appearance of lip and corner vortices.",
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Numerical investigation of director orientation and flow of nematic liquid crystal in a planar 1:4 expansion. / Cruz, Pedro A.; Tome, Murilo F.; Stewart, Iain; Mckee, Sean.

In: Journal of Mechanics of Materials and Structures, Vol. 6, No. 7-8, 21.12.2011, p. 1017-1030.

Research output: Contribution to journalArticle

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AU - Cruz, Pedro A.

AU - Tome, Murilo F.

AU - Stewart, Iain

AU - Mckee, Sean

PY - 2011/12/21

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AB - Numerical solutions to the equations describing Ericksen–Leslie dynamic theory for 2D nematic liquid crystal flows subject to a magnetic field are obtained. The governing equations are solved by a finite difference technique based on the GENSMAC methodology. The resulting numerical technique was verified by comparing numerical solutions for 2D-channel flow by means of mesh refinement. To demonstrate the capabilities of this method, the flow of a nematic liquid crystal in a planar 1:4 expansion was simulated. Calculations were performed for various Ericksen and Reynolds numbers. The results showed that an increase in the Ericksen number caused the appearance of lip and corner vortices.

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