Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids

Xiaofeng Yang, M. Gregory Forest, Huiyuan Li, Chun Liu, Jie Shen, Qi Wang, Falai Chen

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

An energy-based, phase field model is developed for the coupling of two incompressible, immiscible complex fluid phases, in particular a nematic liquid crystal phase in a viscous fluid phase. The model consists of a system of coupled nonlinear partial differential equations for conservation of mass and momentum, phase transport, and interfacial boundary conditions. An efficient and easy-to-implement numerical scheme is developed and implemented to extend two benchmark fluid mechanical problems to incorporate a liquid crystal phase: filament breakup under the influence of capillary force and the gravity-driven, dripping faucet. We explore how the distortional elasticity and nematic anchoring at the liquid crystal-air interface modify the capillary instability in both problems. For sufficiently weak distortional elasticity, the effects are perturbative of viscous fluid experiments and simulations. However, above a Frank elasticity threshold, the model predicts a transition to the beads-on-a-string phenomenon associated with polymeric fluid filaments.

Original languageEnglish (US)
Pages (from-to)1-14
Number of pages14
JournalJournal of Computational Physics
Volume236
Issue number1
DOIs
StatePublished - Mar 1 2013

Fingerprint

viscous fluids
Liquid crystals
filaments
elastic properties
liquid crystals
Fluids
fluids
Elasticity
simulation
beads
partial differential equations
conservation
strings
Drop breakup
Nematic liquid crystals
boundary conditions
gravitation
momentum
thresholds
air

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

Cite this

Yang, Xiaofeng ; Gregory Forest, M. ; Li, Huiyuan ; Liu, Chun ; Shen, Jie ; Wang, Qi ; Chen, Falai. / Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids. In: Journal of Computational Physics. 2013 ; Vol. 236, No. 1. pp. 1-14.
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Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids. / Yang, Xiaofeng; Gregory Forest, M.; Li, Huiyuan; Liu, Chun; Shen, Jie; Wang, Qi; Chen, Falai.

In: Journal of Computational Physics, Vol. 236, No. 1, 01.03.2013, p. 1-14.

Research output: Contribution to journalArticle

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AU - Yang, Xiaofeng

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AU - Shen, Jie

AU - Wang, Qi

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