Steady flow of a nematic liquid crystal in a slowly varying channel

J. Quintans Carou

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Abstract

    We consider steady, two-dimensional flow of a thin film of a nematic liquid crystal between a fixed blade of prescribed shape and a planar substrate moving parallel to itself with a constant velocity. We use a combination of analytical and numerical techniques to analyse the Ericksen-Leslie equations governing the fluid velocity and pressure and the director orientation when both the aspect ratio of the slowly varying channel formed between the blade and the substrate and the distortion of the director field are small. We demonstrate that, in the limit of small orientational elasticity, orientational boundary layers occur close to the substrate and close to the blade, and that, in addition, an orientational internal layer may also occur within which the director orientation changes from + Θ0 to − Θ0, where Θ0 is the flow--alignment angle.
    Original languageEnglish
    Pages (from-to)1801-1813
    Number of pages12
    JournalMolecular Crystals and Liquid Crystals
    Volume438
    DOIs
    Publication statusPublished - 2005

    Fingerprint

    Nematic liquid crystals
    steady flow
    Steady flow
    blades
    liquid crystals
    Substrates
    two dimensional flow
    aspect ratio
    Aspect ratio
    boundary layers
    Elasticity
    Boundary layers
    elastic properties
    alignment
    Thin films
    Fluids
    fluids
    thin films

    Keywords

    • Ericksen-Leslie equations
    • flow alignment
    • nematic liquid crystal
    • thin-film flow

    Cite this

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    abstract = "We consider steady, two-dimensional flow of a thin film of a nematic liquid crystal between a fixed blade of prescribed shape and a planar substrate moving parallel to itself with a constant velocity. We use a combination of analytical and numerical techniques to analyse the Ericksen-Leslie equations governing the fluid velocity and pressure and the director orientation when both the aspect ratio of the slowly varying channel formed between the blade and the substrate and the distortion of the director field are small. We demonstrate that, in the limit of small orientational elasticity, orientational boundary layers occur close to the substrate and close to the blade, and that, in addition, an orientational internal layer may also occur within which the director orientation changes from + Θ0 to − Θ0, where Θ0 is the flow--alignment angle.",
    keywords = "Ericksen-Leslie equations, flow alignment, nematic liquid crystal, thin-film flow",
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    Steady flow of a nematic liquid crystal in a slowly varying channel. / Quintans Carou, J.

    In: Molecular Crystals and Liquid Crystals, Vol. 438, 2005, p. 1801-1813.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Steady flow of a nematic liquid crystal in a slowly varying channel

    AU - Quintans Carou, J.

    PY - 2005

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    N2 - We consider steady, two-dimensional flow of a thin film of a nematic liquid crystal between a fixed blade of prescribed shape and a planar substrate moving parallel to itself with a constant velocity. We use a combination of analytical and numerical techniques to analyse the Ericksen-Leslie equations governing the fluid velocity and pressure and the director orientation when both the aspect ratio of the slowly varying channel formed between the blade and the substrate and the distortion of the director field are small. We demonstrate that, in the limit of small orientational elasticity, orientational boundary layers occur close to the substrate and close to the blade, and that, in addition, an orientational internal layer may also occur within which the director orientation changes from + Θ0 to − Θ0, where Θ0 is the flow--alignment angle.

    AB - We consider steady, two-dimensional flow of a thin film of a nematic liquid crystal between a fixed blade of prescribed shape and a planar substrate moving parallel to itself with a constant velocity. We use a combination of analytical and numerical techniques to analyse the Ericksen-Leslie equations governing the fluid velocity and pressure and the director orientation when both the aspect ratio of the slowly varying channel formed between the blade and the substrate and the distortion of the director field are small. We demonstrate that, in the limit of small orientational elasticity, orientational boundary layers occur close to the substrate and close to the blade, and that, in addition, an orientational internal layer may also occur within which the director orientation changes from + Θ0 to − Θ0, where Θ0 is the flow--alignment angle.

    KW - Ericksen-Leslie equations

    KW - flow alignment

    KW - nematic liquid crystal

    KW - thin-film flow

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