Name
Title | ||
|---|---|---|
Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids |
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. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.jcp.2012.10.042 | J. Comput. Physics |
Keywords | Field | DocType |
frank elasticity threshold,benchmark fluid mechanical problem,phase transport,leaky liquid crystal faucet,liquid crystal phase,polymeric fluid filament,viscous fluid experiment,viscous fluid phase,phase field model,drop pinch-off,nematic liquid crystal phase,immiscible complex fluid phase,liquid crystal filament | Boundary value problem,Viscous liquid,Mathematical analysis,Capillary action,Viscosity,Mechanics,Complex fluid,Liquid crystal,Classical mechanics,Elasticity (economics),Capillary number,Mathematics | Journal |
Volume | ISSN | Citations |
236, | 0021-9991 | 9 |
PageRank | References | Authors |
0.66 | 4 | 7 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiaofeng Yang | 1 | 319 | 27.71 |
| M. Gregory Forest | 2 | 12 | 1.90 |
| Huiyuan Li | 3 | 34 | 6.21 |
| Chun Liu | 4 | 173 | 28.67 |
| Jie Shen | 5 | 456 | 50.38 |
| Qi Wang | 6 | 295 | 62.64 |
| Falai Chen | 7 | 403 | 32.47 |