Simulating the axisymmetric interfacial flows with insoluble surfactant by immersed boundary method

Ming-Chih Lai*, Chung Yin Huang, Yi Min Huang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

In this paper, we extend our previous work on the two-dimensional immersed boundary method for interfacial flows with insoluble surfactant to the case of three-dimensional axisymmetric interfacial flows. Although the key components of the scheme are similar in spirit to the two-dimensional case, there are two differences introduced in the present work. Firstly, the governing equations are written in an immersed boundary formulation using the axisymmetric cylindrical coordinates. Secondly, we introduce an artificial tangential velocity to the Lagrangian markers so that the uniform distribution of markers along the interface can be achieved and a modified surfactant concentration equation is derived as well. The numerical scheme still preserves the total mass of surfactant along the interface. Numerical convergence of the present scheme has been checked, and several tests for a drop in extensional flows have been investigated in detail.

Original languageEnglish
Pages (from-to)105-117
Number of pages13
JournalInternational Journal of Numerical Analysis and Modeling
Volume8
Issue number1
StatePublished - 1 Jan 2011

Keywords

  • Axisymmetric interfacial flow
  • Immersed boundary method
  • Navier-Stokes equations
  • Surfactant

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