Turbulence and coarsening in active and passive binary mixtures

Abstract

Phase separation between two fluids in two-dimensions is investigated by means of Direct Numerical Simulations of coupled Navier-Stokes and Cahn-Hilliard equations. We study the phase ordering process in the presence of an external stirring acting on the velocity field. For both active and passive mixtures we find that, for a sufficiently strong stirring, coarsening is arrested in a stationary dynamical state characterized by a continuous rupture and formation of finite domains. Coarsening arrest is shown to be independent of the chaotic or regular nature of the flow.

4 pages, 5 figures; discussion on the dependence of the arrest scale on the shear rate has been added; figures have been modified accordingly

References in corpus (7)

• Theory of Phase Ordering Kinetics
• Inertial effects in three dimensional spinodal decomposition of a symmetric binary fluid mixture: A lattice Boltzmann study
• Breakdown of scale-invariance in the coarsening of phase-separating binary fluids
• Spinodal decomposition of a binary mixture in an uniform shear flow
• Phase separation in an homogeneous shear flow: Morphology, growth laws and dynamic scaling
• Structure and rheology of binary mixtures in shear flow
• Phase separation in a chaotic flow

Cited by in corpus (32)

• Two-dimensional Turbulence in Symmetric Binary-Fluid Mixtures: Coarsening Arrest by the Inverse Cascade
• Spinodal decomposition in homogeneous and isotropic turbulence
• Phase-field model for the Rayleigh--Taylor instability of immiscible fluids
• Nonlinear dynamics of phase separation in thin films
• Effects of mixing and stirring on the critical behavior
• Variable energy flux in turbulence
• Bubbles and Filaments: Stirring a Cahn-Hilliard Fluid
• Critical behaviour of a fluid in a random shear flow: Renormalization group analysis of a simplified model
• Kinetic energy spectra and flux in turbulent phase-separating symmetric binary-fluid mixtures
• Rayleigh--Taylor instability in a viscoelastic binary fluid
• Binary-Fluid Turbulence: Signatures of Multifractal Droplet Dynamics and Dissipation Reduction
• Defect Line Coarsening and Refinement in Active Nematics
• Cascades and Spectra of a Turbulent Spinodal Decomposition in 2D Symmetric Binary Liquid Mixture
• Spatio-temporal dynamics induced by competing instabilities in two asymmetrically coupled nonlinear evolution equations
• Tuneable defect-curvature coupling and topological transitions in active shells
• Dynamical Effects and Phase Separation in Thin Films
• Spatial population genetics with fluid flow
• Bounds on the mixing enhancement for a stirred binary fluid
• A regularity criterion for solutions of the three-dimensional Cahn-Hilliard-Navier-Stokes equations and associated computations
• Energy transfer in simple and active binary fluid turbulence {\bf {-}} a false friend of incompressible MHD turbulence
• Turbulence-induced clustering in compressible active fluids
• Light and heavy particles on a fluctuating surface: Bunchwise balance, irreducible sequences and local density-height correlations
• The role of BKM-type theorems in $3D$ Euler, Navier-Stokes and Cahn-Hilliard-Navier-Stokes analysis
• CHNS: A case study of turbulence in elastic media
• A flow-pattern map for phase separation using the Navier-Stokes Cahn-Hilliard model
• Convection-induced compositional patterning at grain boundaries in irradiated alloys
• Critical behaviour of the randomly stirred dynamical Potts model: Novel universality class and effects of compressibility
• Aggregation of chemotactic organisms in a differential flow
• Turbulent mixing controls fixation of growing antagonistic populations
• The role of advection in phase-separating binary liquids
• Flow-parametric regulation of shear-driven phase separation in two and three dimensions
• Nonlinear dynamics of phase separation in ultra-thin films