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Hydrodynamic coarsening of binary fluids

Solis1, Olvera De La Cruz M

  • 1Department of Materials Science and Engineering, Northwestern University, Evanston, Illinois 60208, USA.

Physical Review Letters
|October 6, 2000
PubMed
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Hydrodynamic domain growth in fluid mixtures during spinodal decomposition follows L ~ t^(4/7) in the inertial regime. This study clarifies scaling exponents for domain size and viscous dissipation layers.

Area of Science:

  • Fluid dynamics
  • Materials science
  • Physical chemistry

Background:

  • Spinodal decomposition is a process where unstable fluid mixtures separate into domains.
  • Understanding domain growth kinetics is crucial for predicting material properties.
  • Previous models proposed different scaling exponents for domain growth.

Purpose of the Study:

  • To determine the correct hydrodynamic scaling exponent for domain growth in fluid mixtures undergoing spinodal decomposition.
  • To clarify the relationship between domain size, time, and oscillatory frequency.
  • To characterize the scaling of the viscous dissipation layer thickness.

Main Methods:

  • Linear analysis of interface dynamics.
  • Interpretation of results from hydrodynamic models.

Related Experiment Videos

  • Power law analysis of domain size and dissipation layer thickness.

    • Main Results:

    • The hydrodynamic growth of domain size (L) scales with time (t) as L ~ t^(4/7) in the inertial regime.
    • The exponent alpha = 2/3 relates to the scaling of oscillatory frequency, not domain growth.
    • Viscous dissipation layer thickness (Ld) scales as Ld ~ L^(3/4) in the inertial regime.
    • In the viscous regime, domain growth is linear (L ~ t) and dissipation layer thickness is constant.

    Conclusions:

    • The established scaling exponent for hydrodynamic domain growth in spinodal decomposition is 4/7 in the inertial regime.
    • The previous exponent of 2/3 is reinterpreted as describing frequency scaling.
    • The viscous dissipation layer exhibits distinct scaling behavior dependent on the flow regime.