Numerical simulation of moving contact lines with surfactant by immersed boundary method

Ming-Chih Lai*, Yu Hau Tseng, Huaxiong Huang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

31 Scopus citations

Abstract

In this paper, we present an immersed boundary method for simulating moving contact lines with surfactant. The governing equations are the incompressible Navier-Stokes equations with the usual mixture of Eulerian fluid variables and Lagrangian interfacialmarkers. The immersed boundary force has two components: one from the nonhomogeneous surface tension determined by the distribution of surfactant along the fluid interface, and the other fromunbalanced Young's force at the moving contact lines. An artificial tangential velocity has been added to the Lagrangian markers to ensure that the markers are uniformly distributed at all times. The corresponding modified surfactant equation is solved in a way such that the total surfactant mass is conserved. Numerical experiments including convergence analysis are carefully conducted. The effect of the surfactant on the motion of hydrophilic and hydrophobic drops are investigated in detail.

Original languageEnglish
Pages (from-to)735-757
Number of pages23
JournalCommunications in Computational Physics
Volume8
Issue number4
DOIs
StatePublished - 1 Jan 2010

Keywords

  • Hydrophilic drop
  • Hydrophobic drop
  • Immersed boundary method
  • Interfacial flow
  • Moving contact line
  • Navier-Stokes equations
  • Surfactant
  • Wetting

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