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Diffuse interface modelling of soluble surfactants in two-phase flow

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arxiv 1303.2559 v1 pith:UWSNUVBW submitted 2013-03-11 physics.flu-dyn math.AP

Harald Garcke , Kei Fong Lam , Björn Stinner This is my paper · ORCID
classification physics.flu-dynmath.AP
keywords flowinterfacemodelssolublesurfacesurfactanttwo-phaseadsorption
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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.

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