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Phase field modelling of surfactants in multi-phase flow
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Dunbar, Oliver, Lam, Kei Fong and Stinner, Björn (2019) Phase field modelling of surfactants in multi-phase flow. Interfaces and Free Boundaries, 21 (4). pp. 495-547. doi:10.4171/IFB/429 ISSN 1463-9963.
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Official URL: https://doi.org/10.4171/IFB/429
Abstract
A diffuse interface model for surfactants in multi-phase flow with three or more fluids is derived. A system of Cahn-Hilliard equations is coupled with a Navier-Stokes system and an advection-diffusion equation for the surfactant ensuring thermodynamic consistency. By an asymptotic analysis the model can be related to a moving boundary problem in the sharp interface limit, which is derived from first principles. Results from numerical simulations support the theoretical findings. The main novelties are centred around the conditions in the triple junctions where three fluids meet. Specifically the case of local chemical equilibrium with respect to the surfactant is considered, which allows for interfacial surfactant flow through the triple junctions.
Item Type: | Journal Article | |||||||||
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Subjects: | Q Science > QA Mathematics Q Science > QD Chemistry T Technology > TP Chemical technology |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||
Library of Congress Subject Headings (LCSH): | Surface active agents, Surface active agents -- Mathematical models, Fluid dynamics -- Mathematical models, Multiphase flow -- Mathematical models, Liquid-liquid interfaces -- Mathematical models | |||||||||
Journal or Publication Title: | Interfaces and Free Boundaries | |||||||||
Publisher: | European Mathematical Society Publishing House | |||||||||
ISSN: | 1463-9963 | |||||||||
Official Date: | 18 December 2019 | |||||||||
Dates: |
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Volume: | 21 | |||||||||
Number: | 4 | |||||||||
Page Range: | pp. 495-547 | |||||||||
DOI: | 10.4171/IFB/429 | |||||||||
Status: | Peer Reviewed | |||||||||
Publication Status: | Published | |||||||||
Access rights to Published version: | Restricted or Subscription Access | |||||||||
Date of first compliant deposit: | 2 October 2019 | |||||||||
Date of first compliant Open Access: | 2 October 2019 | |||||||||
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