A mathematical model for core-annular flows with surfactants

S. Kas-Danouche, D. Papageorgiou, Michael Siegel

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

The stability of core-anular flows is of fundamental scientific and practical importance. The interface between two immiscible fluids can become unstable by several physical mechanisms. Surface tension is one of those mechanisms of practical importance. We include in our model the effects of insoluble surfactants. A full problem is derived considering the surfactant transport equation. We carried out an asymptotic solution of the problem when the annulus is thin compared to the core-fluid radius and for waves which are of the order of the pipe radius. We obtain from matched asymptotic analysis a system of two coupled nonlinear partial differential equations for the interfacial amplitude and the surfactant concentration on the interface.

Original languageEnglish (US)
Pages (from-to)117-138
Number of pages22
JournalDivulgaciones Matematicas
Volume12
Issue number2
StatePublished - Dec 1 2004

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • Core-annular flow
  • Interfacial tension
  • Surfactants

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