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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; Forest, M. Gregory; Li, Huiyuan; Liu, Chun; Shen, Jie; Wang, Qi; Chen, Falai
2013
SourceJOURNAL OF COMPUTATIONAL PHYSICS
ISSN0021-9991
Volume236Pages:1-14
English AbstractAn 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.; 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.
Indexed TypeSCI
KeywordPhase Field Model Drop Pinch-off Liquid Crystal Filament
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.
Language英语
WOS IDWOS:000314801500002
Citation statistics
Cited Times:48[WOS]   [WOS Record]     [Related Records in WOS]
Content Type期刊论文
URIhttp://ir.iscas.ac.cn/handle/311060/16944
Collection中国科学院软件研究所
Recommended Citation
GB/T 7714
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,2013,236:1-14.
APA Yang, Xiaofeng.,Forest, M. Gregory.,Li, Huiyuan.,Liu, Chun.,Shen, Jie.,...&Chen, Falai.(2013).Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids.JOURNAL OF COMPUTATIONAL PHYSICS,236,1-14.
MLA Yang, Xiaofeng,et al."Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids".JOURNAL OF COMPUTATIONAL PHYSICS 236(2013):1-14.
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