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Smoothed particle hydrodynamics model for phase separating fluid mixtures. II. Diffusion in a binary mixture.

Cedric Thieulot1, L P B M Janssen, Pep Español

  • 1Department of Chemical Engineering, Rijksuniversiteit Groningen, Nijenborgh 4, 9747 AG Groningen, The Netherlands.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 11, 2005
PubMed
Summary

This study validates a smoothed particle hydrodynamics model for phase separation in binary mixtures, focusing on diffusion processes. The model shows potential for simulating complex pattern formation under thermal gradients.

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Area of Science:

  • Computational physics
  • Materials science
  • Chemical engineering

Background:

  • Phase separation in binary mixtures is crucial for material properties.
  • Smoothed particle hydrodynamics (SPH) offers a mesh-free approach for fluid dynamics.
  • Previous SPH models require validation for specific physical regimes.

Purpose of the Study:

  • To assess a previously formulated smoothed particle hydrodynamics (SPH) model.
  • To investigate its applicability to binary mixtures undergoing liquid-liquid phase separation.
  • To evaluate the model's thermodynamic consistency and pattern formation capabilities.

Main Methods:

  • Utilized a smoothed particle hydrodynamics (SPH) model.
  • Focused on scenarios where viscous processes are negligible.

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  • Incorporated mass and energy diffusive processes.

    • Main Results:

    • Thermodynamic consistency of the SPH model was assessed.
    • The model's capability to simulate pattern formation was demonstrated.
    • Effectiveness was shown under various thermal boundary conditions.

    Conclusions:

    • The SPH model is suitable for simulating phase separation driven by diffusion.
    • The model can be applied to study complex pattern formation in binary mixtures.
    • Further research can explore its use with different thermal boundary conditions.