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A THERMODYNAMICALLY CONSISTENT PHASE-FIELD MODEL FOR TWO-PHASE FLOWS AND ITS COMPUTATIONS

DOI: 10.1615/ICHMT.2015.IntSympAdvComputHeatTransf.1750
pages 1769-1770

Ping Lin
School of Eng. Phys. & Math, U. of Dundee, Dundee, UK

Zhenlin Guo
Math Department, UC Irvine, Irvine, CA, USA

Sinopsis

We develop a phase-field model for binary incompressible fluid with thermocapillary effects, which allows for different properties (densities, viscosities and heat conductivities) of each component while maintaining thermodynamic consistency. A sharp-interface limit analysis is carried out to show that the interfacial conditions of the classical sharp-interface models can be recovered from our phase-field model. Numerical examples computed through a continuous finite element method show that the results of the model are consistent with some existing analytical and numerical results.

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