main.pdf (14.97 MB)

Phase-field theory of multicomponent incompressible Cahn-Hilliard liquids

Download (14.97 MB)
journal contribution
posted on 03.11.2017, 11:58 by Gyula Toth, Mojdeh Zarifi, Bjorn Kvamme
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.

Funding

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.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physical Review E

Volume

93

Issue

1

Citation

TOTH, G.I., ZARIFI, M. and KVAMME, B., 2016. Phase-field theory of multicomponent incompressible Cahn-Hilliard liquids. Physical Review E, 93: 013126.

Publisher

© American Physical Society

Version

AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2016-01-25

Notes

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

ISSN

2470-0045

eISSN

2470-0053

Language

en

Exports

Logo branding

Keywords

Exports