Phase field computations for ternary fluid flows

Research output: Contribution to journalArticle

51 Citations (Scopus)

Abstract

We present a new phase field model for three-component immiscible liquid flows with surface tension. In the phase field approach, the classical sharp-interface between the two immiscible fluids is replaced by a transition region across which the properties of fluids change continuously. The proposed method incorporates a chemical potential which can eliminate the unphysical phase field profile and a continuous surface tension force formulation from which we can calculate the pressure field directly from the governing equations. The capabilities of the method are demonstrated with several examples. We compute the ternary phase separation via spinodal decomposition, equilibrium phase field profiles, pressure field distribution, and a three-interface contact angle resulting from a spreading liquid lens on an interface. The numerical results show excellent agreement with analytical solutions.

Original languageEnglish
Pages (from-to)4779-4788
Number of pages10
JournalComputer Methods in Applied Mechanics and Engineering
Volume196
Issue number45-48
DOIs
Publication statusPublished - 2007 Sep 15
Externally publishedYes

Fingerprint

fluid flow
Flow of fluids
pressure distribution
Surface tension
interfacial tension
Spinodal decomposition
Fluids
fluids
Chemical potential
liquid flow
Liquids
profiles
Phase equilibria
Phase separation
Contact angle
Lenses
lenses
decomposition
formulations
liquids

Keywords

  • Continuum surface tension
  • Interfacial tension
  • Navier-Stokes equation
  • Nonlinear multigrid method
  • Phase field model
  • Ternary Cahn-Hilliard equation

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Mechanics

Cite this

Phase field computations for ternary fluid flows. / Kim, Junseok.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 196, No. 45-48, 15.09.2007, p. 4779-4788.

Research output: Contribution to journalArticle

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