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

Authors:
Xiaofeng Yang;M. Gregory Forest;Huiyuan Li;Chun Liu;Jie Shen;Qi Wang;Falai Chen
Affiliations:
-;-;-;-;-;-;-
Venue:
Journal of Computational Physics
Year:
2013

Citing 9
Cited 0

A level set formulation for the solution of the Dirichlet problem for Hamilton-Jacobi equations

SIAM Journal on Mathematical Analysis
Efficient spectral-Galerkin method I: direct solvers of second-and fourth-order equations using Legendre polynomials

SIAM Journal on Scientific Computing
A fast level set method for propagating interfaces

Journal of Computational Physics
Efficient Spectral-Galerkin Methods III: Polar and Cylindrical Geometries

SIAM Journal on Scientific Computing
An efficient spectral-projection method for the Navier-Stokes equations in cylindrical geometries

Journal of Computational Physics
A front-tracking method for the computations of multiphase flow

Journal of Computational Physics
Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method

Journal of Computational Physics
A boundary integral method for simulating the dynamics of inextensible vesicles suspended in a viscous fluid in 2D

Journal of Computational Physics
A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities

SIAM Journal on Scientific Computing

Quantified Score

Hi-index	31.45

Visualization

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.