Morphologies and flow patterns in quenching of lamellar systems with shear
arXiv:cond-mat/0508033 · doi:10.1103/PhysRevE.74.011505
Abstract
We study the behavior of a fluid quenched from the disordered into the lamellar phase under the action of a shear flow. The dynamics of the system is described by Navier-Stokes and convection-diffusion equations with pressure tensor and chemical potential derived by the Brazovskii free-energy. Our simulations are based on a mixed numerical method with Lattice Boltzmann equation and finite difference scheme for Navier-Stokes and order parameter equations, respectively. We focus on cases where banded flows are observed with two different slopes for the component of velocity in the direction of the applied flow. Close to the walls the system reaches a lamellar order with very few defects and the slope of the horizontal velocity is higher than the imposed shear rate. In the middle of the system the local shear rate is lower than the imposed one and the system looks as a mixture of tilted lamellae, droplets and small elongated domains. We refer to this as to a region with a Shear Induced Structures (SIS) configuration. The local behavior of the stress shows that the system with the coexisting lamellar and SIS regions is in mechanical equilibrium. This phenomenon occurs, at fixed viscosity, for shear rates under a certain threshold; when the imposed shear rate is sufficiently large, lamellar order develops in the whole system. Effects of different viscosities have been also considered: The SIS region is observed only at low enough viscosity. We compare the above scenario with the usual one of shear banding. In particular, we do not find evidence for a plateau of the stress at varying imposed shear rates in the region with banded flow. We interpret our results as due to a tendency of the lamellar system to oppose to the presence of the applied flow.
arXiv comment11 pages, 11 figures (best quality figures available)
References in corpus (33)
- Theory of Phase Ordering Kinetics
- Numerical Simulations of Particulate Suspensions via a Discretized Boltzmann Equation Part I. Theoretical Foundation
- Simulation of non-ideal gases and liquid-gas phase transitions by lattice Boltzmann equation
- Lattice Boltzmann Simulation of Non-Ideal Fluids
- Numerical Simulations of Particulate Suspensions via a Discretized Boltzmann Equation Part II. Numerical Results
- A Lattice Boltzmann method for simulations of liquid-vapor thermal flows
- Velocity profiles in shear-banding wormlike micelles
- Shear localization in a model glass
- Stripe glasses: self generated randomness in a uniformly frustrated system
- A Lattice Boltzmann Model of Binary Fluid Mixture
- Effects of Non-local Stress on the Determination of Shear Banding Flow
- A Lattice Boltzmann Model of Ternary Fluid Mixtures
- A simple model for heterogeneous flows of yield stress fluids
- Spinodal decomposition to a lamellar phase: effects of hydrodynamic flow
- Shear-banding in a lyotropic lamellar phase, Part 1: Time-averaged velocity profiles
- Simulations of liquid crystal hydrodynamics
- Phase separating binary fluids under oscillatory shear
- Kinetics of the shear banding instability in startup flows
- Spinodal decomposition of a binary mixture in an uniform shear flow
- Two-state shear diagrams for complex fluids in shear flow
- Phase separation of incompressible binary fluids with Lattice Boltzmann Methods
- Grain boundary pinning and glassy dynamics in stripe phases
- Pattern Dynamics of Rayleigh-Benard convective rolls and weakly segregated diblock copolymers
- Ordering kinetics of stripe patterns
- Lattice Boltzmann simulations of lamellar and droplet phases
- Scaling and hydrodynamic effects in lamellar ordering
- Nonequilibrium steady states in sheared binary fluids
- Random Isotropic Structures and Possible Glass Transitions in Diblock Copolymer Melts
- Defect Structures in the Growth Kinetics of the Swift-Hohenberg Model
- Lattice Boltzmann simulations of segregating binary fluid mixtures in shear flow
- Langevin dynamics of the Coulomb frustrated ferromagnet: a mode-coupling analysis
- Rheology of distorted nematic liquid crystals
- Comment on ``Stripe Glasses: Self-Generated Randomness in a Uniformly Frustrated System''
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- Shear Banding of Complex Fluids
- Two-Dimensional Lattice Boltzmann Model For Compressible Flows With High Mach Number
- Multiple-Relaxation-Time Lattice Boltzmann Approach to Compressible Flows with Flexible Specific-Heat Ratio and Prandtl Number
- Lattice Boltzmann study on Kelvin-Helmholtz instability: the roles of velocity and density gradients
- Polar coordinate lattice Boltzmann modeling of compressible flows
- Lattice Boltzmann model for combustion and detonation
- Phase separation in thermal systems: LB study and morphological characterization
- Domain growth in cholesteric blue phases: hybrid lattice Boltzmann simulations
- Multiple-relaxation-time lattice Boltzmann model for compressible fluids
- Complex fields in heterogeneous materials under shock: modeling, simulation and analysis
- Morphological characterization of shocked porous material
- Chaotic and periodical dynamics of active chiral droplets
- Morphology and flow patterns in highly asymmetric active emulsions
- Rheology of Lamellar Liquid Crystals in Two and Three Dimensions: A Simulation Study
- Complex-tensor theory of simple smectics
- Thermal and hydrodynamic effects in the ordering of lamellar fluids
- Cellular automata model for elastic solid material
- Simulating liquid-vapor phase separation under shear with lattice Boltzmann method
- Multiparticle collision dynamics for fluid interfaces with near-contact interactions
- Comparative Study on Several Criteria for Non-equilibrium Phase Separation