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On diffuse interface modeling and simulation of surfactants in two-phase fluid flow
KTH, School of Engineering Sciences (SCI), Mechanics, Physicochemical Fluid Mechanics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.ORCID iD: 0000-0003-2830-0454
KTH, School of Engineering Sciences (SCI), Mechanics, Physicochemical Fluid Mechanics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.ORCID iD: 0000-0003-3336-1462
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Numerical Analysis, NA. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.
2013 (English)In: Communications in Computational Physics, ISSN 1815-2406, E-ISSN 1991-7120, Vol. 14, no 4, 879-915 p.Article in journal (Refereed) Published
Abstract [en]

An existing phase-fieldmodel of two immiscible fluids with a single soluble surfactant present is discussed in detail. We analyze the well-posedness of the model and provide strong evidence that it is mathematically ill-posed for a large set of physically relevant parameters. As a consequence, critical modifications to the model are suggested that substantially increase the domain of validity. Carefully designed numerical simulations offer informative demonstrations as to the sharpness of our theoretical results and the qualities of the physical model. A fully coupled hydrodynamic test-case demonstrates the potential to capture also non-trivial effects on the overall flow.

Place, publisher, year, edition, pages
2013. Vol. 14, no 4, 879-915 p.
Keyword [en]
Cahn-Hilliard equation, Ginzburg-Landau free energy, Phase-field model, Surface active agent, Well-posedness
National Category
Computational Mathematics Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-126045DOI: 10.4208/cicp.120712.281212aISI: 000322071000002Scopus ID: 2-s2.0-84877707309OAI: oai:DiVA.org:kth-126045DiVA: diva2:641822
Funder
Swedish Research CouncilKnut and Alice Wallenberg Foundation
Note

QC 20130819

Available from: 2013-08-19 Created: 2013-08-19 Last updated: 2017-12-06Bibliographically approved

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Do-Quang, MinhAmberg, Gustav

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Physicochemical Fluid MechanicsLinné Flow Center, FLOWNumerical Analysis, NA
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