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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 and Stinner, Björn (2013) Diffuse interface modelling of soluble surfactants in two-pahse flow. Preprintreihe der Fakultät Mathematik 03/2013, Working Paper.

Date of publication of this fulltext: 14 Oct 2013 08:12
Monograph
DOI to cite this document: 10.5283/epub.28900


Abstract

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.


Involved Institutions


Details

Item typeMonograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Volume:03/2013
Date2013
InstitutionsMathematics > Prof. Dr. Harald Garcke
Classification
NotationType
35R35MSC
35R01MSC
76T99MSC
76D45MSC
35C20MSC
35Q35MSC
Keywordstwo-phase flow, surfactant, phase field model, adsorption isotherm
Dewey Decimal Classification500 Science > 510 Mathematics
StatusUnknown
RefereedNo, this version has not been refereed yet (as with preprints)
Created at the University of RegensburgYes
URN of the UB Regensburgurn:nbn:de:bvb:355-epub-289008
Item ID28900

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