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Phase-field simulations for drops and bubbles.

Rodica Borcia1, Michael Bestehorn

  • 1Lehrstuhl Statistische Physik/Nichtlineare Dynamik, Brandenburgische Technische Universität Cottbus, Erich-Weinert-Strass 1, 03046, Cottbus, Germany. borcia@physik.tu-cottbus.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 7, 2007
PubMed
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A phase field model simulates Marangoni convection for compressible van der Waals fluids. This model, extended to drops and bubbles, shows phase separation and droplet formation, enabling study of Marangoni migration.

Area of Science:

  • Fluid dynamics
  • Thermodynamics
  • Computational physics

Background:

  • A prior phase field model described Marangoni convection in compressible van der Waals fluids.
  • The model was previously applied to two-layer fluid systems.

Purpose of the Study:

  • To extend the phase field model to simulate drops and bubbles.
  • To investigate Marangoni convection phenomena in droplet systems.
  • To analyze drop migration in a thermal gradient.

Main Methods:

  • Extension of an existing phase field model to handle droplet and bubble geometries.
  • Numerical simulations of a two-component liquid-liquid system.
  • Modeling of initial random density evolution leading to phase separation and droplet formation.

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Main Results:

  • The phase field model successfully simulates phase separation and single droplet formation from random initial densities.
  • Numerical simulations demonstrate Marangoni migration of drops in a vertical thermal gradient for a two-component system.

Conclusions:

  • The extended phase field model is effective for studying Marangoni convection in droplet and bubble systems.
  • The study provides insights into drop migration driven by Marangoni effects in thermal gradients.