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Two-phase binary fluids and immiscible fluids described by an order parameter

Morton E. Gurtin, Debra Polignone, Jorge Vinals

patt-solarXiv:patt-sol/9506001

Abstract

A unified framework for coupled Navier-Stokes/Cahn-Hilliard equations is developed using, as a basis, a balance law for microforces in conjunction with constitutive equations consistent with a mechanical version of the second law. As a numerical application of the theory, we consider the kinetics of coarsening for a binary fluid in two space-dimensions.

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