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Title:
Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids
Author: Yang, Xiaofeng ; Forest, M. Gregory ; Li, Huiyuan ; Liu, Chun ; Shen, Jie ; Wang, Qi ; Chen, Falai
Keyword: Phase field model ; Drop pinch-off ; Liquid crystal filament
Source: JOURNAL OF COMPUTATIONAL PHYSICS
Issued Date: 2013
Volume: 236, Pages:1-14
Indexed Type: SCI
Department: [Yang, Xiaofeng; Wang, Qi] Univ S Carolina, Dept Math, Columbia, SC 29083 USA. [Forest, M. Gregory] Univ N Carolina, Dept Math, Inst Adv Mat Nanosci & Technol, Chapel Hill, NC 27599 USA. [Li, Huiyuan] Chinese Acad Sci, Inst Software, Beijing 100090, Peoples R China. [Liu, Chun] Penn State Univ, Dept Math, University Pk, PA 16802 USA. [Shen, Jie] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA. [Chen, Falai] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China.
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. Published by Elsevier Inc.
English 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. Published by Elsevier Inc.
Language: 英语
WOS ID: WOS:000314801500002
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Content Type: 期刊论文
URI: http://ir.iscas.ac.cn/handle/311060/16944
Appears in Collections:软件所图书馆_期刊论文

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Recommended Citation:
Yang, Xiaofeng,Forest, M. Gregory,Li, Huiyuan,et al. Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2013-01-01,236:1-14.
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