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Diffuse interface modelling of soluble surfactants in two-phase flow
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Garcke, Harald, Lam, Kei Fong and Stinner, Björn (2014) Diffuse interface modelling of soluble surfactants in two-phase flow. Communications in Mathematical Science, Volume 12 (Number 8). pp. 1475-1522. doi:10.4310/CMS.2014.v12.n8.a6 ISSN 1539-6746.
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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.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Two-phase flow -- Mathematical models, Surface active agents -- Mathematical models | ||||
Journal or Publication Title: | Communications in Mathematical Science | ||||
Publisher: | International Press | ||||
ISSN: | 1539-6746 | ||||
Official Date: | 2014 | ||||
Dates: |
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Volume: | Volume 12 | ||||
Number: | Number 8 | ||||
Number of Pages: | 48 | ||||
Page Range: | pp. 1475-1522 | ||||
DOI: | 10.4310/CMS.2014.v12.n8.a6 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Date of first compliant deposit: | 25 December 2015 | ||||
Date of first compliant Open Access: | 25 December 2015 | ||||
Funder: | Engineering and Physical Sciences Research Council (EPSRC), Deutsche Forschungsgemeinschaft (DFG) | ||||
Grant number: | EP/H023364/1 (EPSRC), GA 695/6-1 (DFG) |
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