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Modeling ternary fluids in contact with elastic membranes.

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We developed a new model for ternary fluid and elastic membrane interactions. This versatile framework accurately simulates fluid-structure dynamics for various geometries, including deformable capsules.

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Area of Science:

  • Multiphase flow dynamics
  • Computational fluid dynamics
  • Soft matter physics

Background:

  • Modeling complex fluid-structure interactions is crucial in various scientific fields.
  • Existing models often face challenges in thermodynamic consistency and versatility.
  • Ternary fluid systems interacting with elastic boundaries present unique modeling challenges.

Purpose of the Study:

  • To introduce a thermodynamically consistent model for ternary fluid dynamics coupled with elastic membranes.
  • To develop a versatile numerical framework for simulating these fluid-structure interactions.
  • To validate the model's accuracy and demonstrate its applicability to complex geometries.

Main Methods:

  • Free-energy modeling approach for fluid phases.
  • Governing equations derived for ternary fluid flow and membrane dynamics.
  • Numerical simulation using lattice Boltzmann method (Eulerian) and finite difference (Lagrangian) with immersed boundary coupling.
  • Validation against Surface Evolver for capsule relaxation dynamics.

Main Results:

  • A robust and thermodynamically consistent model for ternary fluid-membrane interactions was established.
  • The numerical framework successfully simulated fluid-structure dynamics, including capsule deformation and capillary bridge formation.
  • Galilean invariance of the proposed model was mathematically proven.
  • The model demonstrated versatility in handling diverse geometries and fluid-structure configurations.

Conclusions:

  • The presented model offers a powerful tool for simulating complex multiphase flow problems involving elastic boundaries.
  • The validated numerical framework provides accurate predictions for fluid-structure interactions.
  • This approach enhances the understanding of phenomena in soft matter physics and microfluidics.