Nonequilibrium Steady States in Sheared Binary Fluids

2005/11/30 by Paul Stansell, P. Stansell, Kevin Stratford +5 · 1 citation
Chemical Engineering · Engineering · Physics and Astronomy · #Binary number #Heat and Mass Transfer in Porous Media #Lattice Boltzmann Simulation Studies #Materials science #Non-equilibrium thermodynamics #Physics #Rheology and Fluid Dynamics Studies #Statistical physics #Thermodynamics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.96.085701

4 pages, 3 figures

arxiv created 2005/11/30 · openalex publication_date 2006/03/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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\ensuremath∼\stackrel\ifmmode \else \textperiodcentered \fi\ensuremathγ^\ensuremath-2/3 and L_y\ensuremath∼\stackrel\ifmmode \else \textperiodcentered \fi\ensuremathγ^\ensuremath-3/4. We discuss the relative roles of diffusivity and hydrodynamics in attaining steady state.

Citations

• Breakdown of Scale Invariance in the Coarsening of Phase-Separating Binary Fluids
• Lattice Boltzmann simulations of liquid-gas and binary fluid systems
• Phase separation under shear in two-dimensional binary fluids

Cited by

• Kinetic energy spectra and flux in turbulent phase-separating symmetric binary-fluid mixtures