Garcke, Harald and Lam, Kei Fong and Stinner, Bjoern (2014) DIFFUSE INTERFACE MODELLING OF SOLUBLE SURFACTANTS IN TWO-PHASE FLOW. COMMUNICATIONS IN MATHEMATICAL SCIENCES, 12 (8). pp. 1475-1522. ISSN 1539-6746,
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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 us to realise various isotherms and relations of state between surface tension and surfactant. Some numerical simulations display the effectiveness of the presented approach.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | PHASE-FIELD MODEL; FINITE-ELEMENT APPROXIMATION; PECLET MASS-TRANSPORT; ADSORPTION MECHANISMS; INSOLUBLE SURFACTANT; SPHERICAL-PARTICLES; ORDER-PARAMETER; DYNAMICS; KINETICS; CONVERGENCE; Two-phase flow; surfactant; phase field model; adsorption isotherm |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Harald Garcke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 29 Nov 2019 09:20 |
| Last Modified: | 29 Nov 2019 09:20 |
| URI: | https://pred.uni-regensburg.de/id/eprint/11001 |
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