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Nonequilibrium steady states in sheared binary fluids.

P Stansell1, K Stratford, J-C Desplat

  • 1SUPA, School of Physics, University of Edinburgh, JCMB Kings Buildings, Mayfield Road, Edinburgh, EH9 3JZ, United Kingdom.

Physical Review Letters
|April 12, 2006
PubMed
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We simulated binary fluid mixtures undergoing phase separation using lattice Boltzmann methods. A steady state was reached, contrary to some theories, with finite domain lengths in flow and gradient directions.

Area of Science:

  • Fluid dynamics
  • Phase separation dynamics
  • Computational physics

Background:

  • Binary fluid mixtures exhibit complex phase separation behavior.
  • Understanding the interplay of hydrodynamics and diffusion is crucial for predicting mixture dynamics.
  • Previous theoretical models have proposed different steady-state scenarios.

Purpose of the Study:

  • To investigate the steady shearing of a binary fluid mixture undergoing phase separation.
  • To explore the role of hydrodynamics in achieving a steady state.
  • To compare simulation results with existing theoretical predictions.

Main Methods:

  • Lattice Boltzmann simulations were employed to model the system in two dimensions.
  • Full hydrodynamics were incorporated into the simulation.

Related Experiment Videos

  • The simulation focused on steady shearing conditions.

    • Main Results:

    • A dynamical steady state was achieved, contrary to some theoretical expectations.
    • Finite domain lengths were observed in the velocity (x) and velocity gradient (y) directions.
    • Apparent scaling exponents were estimated as Lx ~ γ(-2/3) and Ly ~ γ(-3/4).

    Conclusions:

    • The study demonstrates that a steady state can be attained in sheared binary fluid mixtures.
    • Hydrodynamics play a significant role in reaching this steady state.
    • The findings provide insights into the scaling behavior of phase-separated binary fluids under shear.