Nonequilibrium steady states in sheared binary fluids

Abstract

We simulate by lattice Boltzmann the steady shearing of a binary fluid mixture undergoing phase separation with full hydrodynamics in two dimensions. Contrary to some theoretical scenarios, a dynamical steady state is attained with finite domain lengths $L_{x,y}$ in the directions ($x,y)$ of velocity and velocity gradient. Apparent scaling exponents are estimated as $L_x\sim {\dot{\gamma }}^{-2/3}$ and $L_y\sim {\dot{\gamma }}^{-3/4}$. We discuss the relative roles of diffusivity and hydrodynamics in attaining steady state.

4 pages, 3 figures

References in corpus (2)

• Physical and Computational Scaling Issues in Lattice Boltzmann Simulations of Binary Fluid Mixtures
• The segregation of sheared binary fluids in the Bray-Humayun model

Cited by in corpus (16)

• Phase behaviour of active Brownian particles: The role of dimensionality
• Cluster phases and bubbly phase separation in active fluids: Reversal of the Ostwald process
• Theories of Binary Fluid Mixtures: From Phase-Separation Kinetics to Active Emulsions
• Two-dimensional Turbulence in Symmetric Binary-Fluid Mixtures: Coarsening Arrest by the Inverse Cascade
• Morphologies and flow patterns in quenching of lamellar systems with shear
• Domain growth in cholesteric blue phases: hybrid lattice Boltzmann simulations
• Bijels Containing Magnetic Particles: A Simulation Study
• Binary fluids under steady shear in three dimensions
• Kinetic energy spectra and flux in turbulent phase-separating symmetric binary-fluid mixtures
• The need for inertia in nonequilibrium steady states of sheared binary fluids
• Active turbulence and spontaneous phase separation in inhomogeneous extensile active gels
• Structural transitions and arrest of domain growth in sheared binary immiscible fluids and microemulsions
• Hydrodynamic interactions in colloidal ferrofluids: A lattice Boltzmann study
• Bridging length and time scales in sheared demixing systems: from the Cahn-Hilliard to the Doi-Ohta model
• Microrheology close to an equilibrium phase transition
• Advection selects pattern in multistable emulsions of active droplets