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Phase separation of binary mixtures in shear flow: A numerical study

Corberi1, Gonnella, Lamura

  • 1Istituto Nazionale per la Fisica della Materia, Unita di Salerno and Dipartimento di Fisica, Universita di Salerno, 84081 Baronissi (Salerno), Italy.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|January 4, 2001
PubMed
Summary

Binary fluid phase separation in shear flow exhibits unique behavior, with domain sizes and rheology modulated by a distinct four-peak structure factor. This pattern reveals domains with changing thicknesses over time.

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Area of Science:

  • Physics
  • Materials Science
  • Fluid Dynamics

Background:

  • Phase separation in binary fluids is crucial for material properties.
  • Shear flow significantly influences microstructural evolution.
  • Ginzburg-Landau theory provides a framework for studying phase transitions.

Purpose of the Study:

  • To numerically investigate the phase-separation kinetics of binary fluids under shear flow.
  • To analyze the impact of temperature on these kinetics in 2 and 3 dimensions.
  • To validate findings against theoretical predictions from large-N limit equations.

Main Methods:

  • Numerical simulations using the continuum convection-diffusion equation.
  • Employing a Ginzburg-Landau free energy functional.

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  • Conducting simulations at various temperatures in d=2 and d=3 spatial dimensions.

    • Main Results:

    • Confirmed qualitative predictions from large-N limit equations.
    • Observed a structure factor with four characteristic peaks.
    • Identified periodic modulations in rheological indicators and average domain sizes.
    • Found domains with two distinct thicknesses, varying in abundance over time.

    Conclusions:

    • The study confirms theoretical predictions for binary fluid phase separation under shear.
    • A novel four-peak structure factor pattern governs the system's dynamics.
    • This pattern is linked to the emergence of domains with time-dependent characteristic thicknesses.