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Title: Phase-field theory of multicomponent incompressible Cahn-Hilliard liquids
Authors: Toth, Gyula I.
Zarifi, Mojdeh
Kvamme, Bjorn
Issue Date: 2016
Publisher: © American Physical Society
Citation: TOTH, G.I., ZARIFI, M. and KVAMME, B., 2016. Phase-field theory of multicomponent incompressible Cahn-Hilliard liquids. Physical Review E, 93: 013126.
Abstract: In this paper a generalization of the Cahn-Hilliard theory of binary liquids is presented for multi-component incompressible liquid mixtures. First, a thermodynamically consistent convection-diffusion type dynamics is derived on the basis of the Lagrange multiplier formalism. Next, a generalization of the binary Cahn-Hilliard free energy functional is presented for arbitrary number of components, offering the utilization of independent pairwise equilibrium interfacial properties. We show that the equilibrium two-component interfaces minimize the functional, and demonstrate, that the energy penalization for multi-component states increases strictly monotonously as a function of the number of components being present. We validate the model via equilibrium contact angle calculations in ternary and quaternary (4-component) systems. Simulations addressing liquid flow assisted spinodal decomposition in these systems are also presented.
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.93.013126
Sponsor: This 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.93.013126
URI: https://dspace.lboro.ac.uk/2134/27274
Publisher Link: https://doi.org/10.1103/PhysRevE.93.013126
ISSN: 2470-0045
Appears in Collections:Published Articles (Maths)

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