Modelling spreading dynamics of nematic liquid crystals in three spatial dimensions

Te-Sheng Lin*, L. Kondic, U. Thiele, L. J. Cummings

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    17 Scopus citations

    Abstract

    We study spreading dynamics of nematic liquid crystal droplets within the framework of the long-wave approximation. A fourth-order nonlinear parabolic partial differential equation governing the free surface evolution is derived. The influence of elastic distortion energy and of imposed anchoring variations at the substrate are explored through linear stability analysis and scaling arguments, which yield useful insight and predictions for the behaviour of spreading droplets. This behaviour is captured by fully nonlinear time-dependent simulations of three-dimensional droplets spreading in the presence of anchoring variations that model simple defects in the nematic orientation at the substrate.

    Original languageEnglish
    Pages (from-to)214-230
    Number of pages17
    JournalJournal of Fluid Mechanics
    Volume729
    DOIs
    StatePublished - 1 Aug 2013

    Keywords

    • interfacial flows (free surface)
    • liquid crystals
    • thin films

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