Volume 8, Issue 4
Numerical Simulation of Moving Contact Lines with Surfactant by Immersed Boundary Method

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

Commun. Comput. Phys., 8 (2010), pp. 735-757.

Published online: 2010-08

Preview Full PDF 138 1132
Export citation
  • 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 interfacial markers. 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 from unbalanced 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.

  • Keywords

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{CiCP-8-735, author = {}, title = {Numerical Simulation of Moving Contact Lines with Surfactant by Immersed Boundary Method}, journal = {Communications in Computational Physics}, year = {2010}, volume = {8}, number = {4}, pages = {735--757}, 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 interfacial markers. 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 from unbalanced 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.281009.120210a}, url = {http://global-sci.org/intro/article_detail/cicp/7593.html} }
TY - JOUR T1 - Numerical Simulation of Moving Contact Lines with Surfactant by Immersed Boundary Method JO - Communications in Computational Physics VL - 4 SP - 735 EP - 757 PY - 2010 DA - 2010/08 SN - 8 DO - http://dor.org/10.4208/cicp.281009.120210a UR - https://global-sci.org/intro/article_detail/cicp/7593.html KW - AB -

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 interfacial markers. 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 from unbalanced 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.

Ming-Chih Lai, Yu-Hau Tseng & Huaxiong Huang. (2020). Numerical Simulation of Moving Contact Lines with Surfactant by Immersed Boundary Method. Communications in Computational Physics. 8 (4). 735-757. doi:10.4208/cicp.281009.120210a
Copy to clipboard
The citation has been copied to your clipboard