Analytical and computational methods for two-phase flow with soluble surfactant

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


A hybrid method is used to determine the influence of surfactant solubility on twophase flow by solution of a reduced transition layer equation near a fluid interface in the limit of large bulk Péclet number. The method is applied to finding the evolution of a drop of arbitrary viscosity that is deformed by an imposed linear strain or simple shear flow. A semianalytical solution of the transition layer equation is given that expresses exchange of surfactant between its bulk and interfacial forms in terms of a convolution integral in time. Results of this semianalytical solution are compared with the results of a spatially spectrally accurate numerical solution. Although both the hybrid method and its semianalytical solution are valid in three dimensions, the two-dimensional context of this study allows additional validation of results by comparison with those of conformal mapping techniques applied to inviscid bubbles.

Original languageEnglish (US)
Pages (from-to)523-548
Number of pages26
JournalSIAM Journal on Applied Mathematics
Issue number1
StatePublished - 2013

All Science Journal Classification (ASJC) codes

  • Applied Mathematics


  • Interfacial flow
  • Soluble surfactant
  • Two-phase flow


Dive into the research topics of 'Analytical and computational methods for two-phase flow with soluble surfactant'. Together they form a unique fingerprint.

Cite this