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Brief introudction of Phase-field model

The difusive phase-field model, as an alternative to the sharp-interface model for free surface problems, has been successfully applied to describe meso-scale morphological pattern formations and interfacial motions in many material processes and two-phase fows.

The main idea of the phase-field model is: a phase variable S, which is defined on the physical domain, is introduced to label the inside and the outside of the one fluid, for example, a drop/filament. Then, the level set {x : S(x) = 0} represents the interface, while {x : S(x) > 0} represents the inside of the interface and {x : S(x) < 0} the outside. In addition, the phase field formulation is based on an energetic variational approach. The sharp interface model will be replaced by a "diffusive" Allen-Chan or Cahn-Hillard equations.

For the Newtonian/Newtonian fluids mixture, only the "mixing energy" are needed for the modeling. The energy is the competition between hydrophilic and hydrophobic interactions. For the Newtonian/Viscoelastic fluids mixture, there are three parts of energy: bulk energy (elastic Frank Energy), mixing energy and anchoring energy.

Page last modified on September 15, 2008, at 04:59 PM EST