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Title: Phase-field modeling of isothermal quasi-incompressible multicomponent liquids
Authors: Toth, Gyula I.
Issue Date: 2016
Publisher: © The American Physical Society
Citation: TOTH, G.I., 2016. Phase-field modeling of isothermal quasi-incompressible multicomponent liquids. Physical Review E, 94: 033114.
Abstract: In this paper general dynamic equations describing the time evolution of isothermal quasiincompressible multicomponent liquids are derived in the framework of the classical Ginzburg-Landau theory of first order phase transformations. Based on the fundamental equations of continuum mechanics, a general convection-diffusion dynamics is set up first for compressible liquids. The constitutive relations for the diffusion fluxes and the capillary stress are determined in the framework of gradient theories. Next the general definition of incompressibility is given, which is taken into account in the derivation by using the Lagrange multiplier method. To validate the theory, the dynamic equations are solved numerically for the quaternary quasi-incompressible Cahn-Hilliard system. It is demonstrated that variable density (i) has no effect on equilibrium (in case of a suitably constructed free energy functional), and (ii) can in uence non-equilibrium pattern formation significantly.
Description: This paper was accepted for publication in the journal Physical Review E and the definitive published version is available at https://doi.org/10.1103/PhysRevE.94.033114
Sponsor: The work has been supported by the VISTA basic research programme Project No. 6359 Surfactants for water-CO2- hydrocarbon emulsions for combined CO2 storage and utilization of the Norwegian Academy of Science and Letters and the Statoil.
Version: Accepted for publication
DOI: 10.1103/PhysRevE.94.033114
URI: https://dspace.lboro.ac.uk/2134/27279
Publisher Link: https://doi.org/10.1103/PhysRevE.94.033114
ISSN: 2470-0045
Appears in Collections:Published Articles (Maths)

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