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Diffuse interface method for a compressible binary fluid.

Jiewei Liu1, Gustav Amberg1, Minh Do-Quang1

  • 1Department of Mechanics, The Royal Institute of Technology, 100 44 Stockholm, Sweden.

Physical Review. E
|February 13, 2016
PubMed
Summary
This summary is machine-generated.

This study introduces a diffuse interface model for compressible binary mixtures, accurately simulating phase equilibrium and surface tension for CO2 + ethanol. The model shows higher CO2 concentrations reduce surface tension, aiding drop deformation in shear flow.

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Area of Science:

  • Fluid dynamics
  • Thermodynamics
  • Materials science

Background:

  • Multicomponent, multiphase, compressible flows are crucial but challenging to model.
  • Existing models for such systems are in early developmental stages.
  • Accurate simulation requires incorporating fundamental physical laws.

Purpose of the Study:

  • To propose and validate a diffuse interface model for compressible binary mixtures.
  • To accurately describe phase equilibrium and surface tension of real mixtures like CO2 + ethanol.
  • To investigate the behavior of droplets in shear flow under varying concentrations.

Main Methods:

  • Development of a diffuse interface model based on conservation laws (mass, momentum, energy) and thermodynamics.
  • Analytical and numerical simulations of compressible binary mixtures.
  • Parameter adjustment to match experimental data for phase equilibrium and surface tension.
  • Simulation of droplet dynamics in shear flow.

Main Results:

  • The proposed model accurately predicts phase equilibrium for CO2 + ethanol by adjusting molecular attraction parameters.
  • Calculated surface tension of CO2 + ethanol mixtures matches literature data when using a specific mixing capillary coefficient.
  • Simulations demonstrate that increased CO2 concentration lowers surface tension and facilitates droplet deformation in shear flow.

Conclusions:

  • The diffuse interface model provides a robust framework for simulating compressible binary mixtures.
  • The model's predictive capabilities are validated by its agreement with experimental surface tension data.
  • Understanding the relationship between concentration, surface tension, and droplet deformation is crucial for applications involving such flows.