Modelling spreading dynamics of nematic liquid crystals in three spatial dimensions

T. -S. Lin; L. Kondic; U. Thiele; L. J. CUMMINGS

doi:10.1017/jfm.2013.297

Modelling spreading dynamics of nematic liquid crystals in three spatial dimensions

T. -S. Lin, L. Kondic, U. Thiele, L. J. CUMMINGS

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22 Scopus citations

Abstract

AbstractWe 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 language	English (US)
Pages (from-to)	214-230
Number of pages	17
Journal	Journal of Fluid Mechanics
Volume	729
DOIs	https://doi.org/10.1017/jfm.2013.297
State	Published - 2013
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2021-09-21
Acknowledgements: Partially funded by KAUST under award no. KUK-C1-01-031-04
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

ASJC Scopus subject areas

Mechanics of Materials
Mechanical Engineering
Condensed Matter Physics

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10.1017/jfm.2013.297

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title = "Modelling spreading dynamics of nematic liquid crystals in three spatial dimensions",

abstract = "AbstractWe 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.",

author = "Lin, {T. -S.} and L. Kondic and U. Thiele and CUMMINGS, {L. J.}",

note = "KAUST Repository Item: Exported on 2021-09-21 Acknowledgements: Partially funded by KAUST under award no. KUK-C1-01-031-04 This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

year = "2013",

doi = "10.1017/jfm.2013.297",

language = "English (US)",

volume = "729",

pages = "214--230",

journal = "Journal of Fluid Mechanics",

issn = "1469-7645",

publisher = "Cambridge University Press",

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T1 - Modelling spreading dynamics of nematic liquid crystals in three spatial dimensions

AU - Lin, T. -S.

AU - Kondic, L.

AU - Thiele, U.

AU - CUMMINGS, L. J.

N1 - KAUST Repository Item: Exported on 2021-09-21 Acknowledgements: Partially funded by KAUST under award no. KUK-C1-01-031-04 This publication acknowledges KAUST support, but has no KAUST affiliated authors.

PY - 2013

Y1 - 2013

N2 - AbstractWe 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.

AB - AbstractWe 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.

UR - http://hdl.handle.net/10754/671353

UR - https://www.cambridge.org/core/product/identifier/S0022112013002978/type/journal_article

UR - http://www.scopus.com/inward/record.url?scp=84880397503&partnerID=8YFLogxK

U2 - 10.1017/jfm.2013.297

DO - 10.1017/jfm.2013.297

M3 - Article

SN - 1469-7645

VL - 729

SP - 214

EP - 230

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

ER -

Modelling spreading dynamics of nematic liquid crystals in three spatial dimensions

Abstract

Bibliographical note

ASJC Scopus subject areas

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