DIFFUSE INTERFACE MODELLING OF SOLUBLE SURFACTANTS IN TWO-PHASE FLOW

被引：42

作者：

Garcke, Harald ^{[1
]}

Lam, Kei Fong ^{[2
]}

Stinner, Bjoern ^{[2
,3
]}

机构：

[1] Univ Regensburg, Fak Math, D-93040 Regensburg, Germany

[2] Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, England

[3] Univ Warwick, Ctr Comp Sci, Coventry CV4 7AL, W Midlands, England

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2014年 / 12卷 / 08期

基金：

英国工程与自然科学研究理事会;

关键词：

Two-phase flow; surfactant; phase field model; adsorption isotherm; PHASE FIELD MODEL; FINITE-ELEMENT APPROXIMATION; PECLET MASS-TRANSPORT; SPHERICAL-PARTICLES; ADSORPTION; DYNAMICS; KINETICS; CONVERGENCE; ASSEMBLAGES; COMPUTATION;

D O I：

10.4310/CMS.2014.v12.n8.a6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1475 / 1522

页数：48

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