Diffuse interface modelling of soluble surfactants in two-phase flow

Harald Garcke; Kei Fong Lam; Björn Stinner

doi:10.4310/CMS.2014.v12.n8.a6

Diffuse interface modelling of soluble surfactants in two-phase flow

Harald Garcke
, Kei Fong Lam
, Björn Stinner

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

51 Citations (Scopus)

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 surface free energies allows us to realise various isotherms and relations of state between surface tension and surfactant. Some numerical simulations display the effectiveness of the presented approach.

Original language	English
Pages (from-to)	1475-1522
Number of pages	48
Journal	Communications in Mathematical Sciences
Volume	12
Issue number	8
DOIs	https://doi.org/10.4310/CMS.2014.v12.n8.a6
Publication status	Published - 14 May 2014

User-Defined Keywords

Adsorption isotherm
Phase field model
Surfactant
Two-phase flow

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10.4310/CMS.2014.v12.n8.a6

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AU - Lam, Kei Fong

AU - Stinner, Björn

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N2 - 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 us to realise various isotherms and relations of state between surface tension and surfactant. Some numerical simulations display the effectiveness of the presented approach.

AB - 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 us to realise various isotherms and relations of state between surface tension and surfactant. Some numerical simulations display the effectiveness of the presented approach.

KW - Adsorption isotherm

KW - Phase field model

KW - Surfactant

KW - Two-phase flow

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EP - 1522

JO - Communications in Mathematical Sciences

JF - Communications in Mathematical Sciences

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Diffuse interface modelling of soluble surfactants in two-phase flow

Abstract

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