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Garcke, Harald ; Lam, Kei Fong ; Stinner, Björn

Diffuse interface modelling of soluble surfactants in two-pahse flow

Garcke, Harald, Lam, Kei Fong und Stinner, Björn (2013) Diffuse interface modelling of soluble surfactants in two-pahse flow. Preprintreihe der Fakultät Mathematik 03/2013, Working Paper.

Veröffentlichungsdatum dieses Volltextes: 14 Okt 2013 08:12
Monographie
DOI zum Zitieren dieses Dokuments: 10.5283/epub.28900


Zusammenfassung

Phase field models for two-phase flow with a surfactant soluble in possibly both fluids are derived from balance equations and an energy inequality so that thermodynamic consistency is guaranteed. Via a formal asymptotic analysis, they are related to sharp interface models. Both cases of dynamic as well as instantaneous adsorption are covered. Flexibility with respect to the choice of bulk and ...

Phase field models for two-phase flow with a surfactant soluble in possibly both fluids
are derived from balance equations and an energy inequality so that thermodynamic consistency is
guaranteed. Via a formal asymptotic analysis, they are related to sharp interface models. Both cases
of dynamic as well as instantaneous adsorption are covered. Flexibility with respect to the choice
of bulk and surface free energies allows to realise various isotherms and relations of state between
surface tension and surfactant. Some numerical simulations display the effectiveness of the presented
approach.


Beteiligte Einrichtungen


Details

DokumentenartMonographie (Working Paper)
Schriftenreihe der Universität Regensburg:Preprintreihe der Fakultät Mathematik
Band:03/2013
Datum2013
InstitutionenMathematik > Prof. Dr. Harald Garcke
Klassifikation
NotationArt
35R35MSC
35R01MSC
76T99MSC
76D45MSC
35C20MSC
35Q35MSC
Stichwörter / Keywordstwo-phase flow, surfactant, phase field model, adsorption isotherm
Dewey-Dezimal-Klassifikation500 Naturwissenschaften und Mathematik > 510 Mathematik
StatusUnbekannt / Keine Angabe
BegutachtetNein, diese Version wurde noch nicht begutachtet (bei preprints)
An der Universität Regensburg entstandenJa
URN der UB Regensburgurn:nbn:de:bvb:355-epub-289008
Dokumenten-ID28900

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