The role of monolayer viscosity in Langmuir film hole closure dynamics

Leroy L. Jia, Michael J. Shelley

Research output: Contribution to journalArticlepeer-review


We re-examine the model proposed by Alexander et al. (Phys. Fluids, vol. 18, 2006, 062103) for the closing of a circular hole in a molecularly thin incompressible Langmuir film situated on a Stokesian subfluid. For simplicity their model assumes that the surface phase is inviscid which leads to the result that the cavity area decreases at a constant rate determined by the ratio of edge tension to subfluid viscosity. We reformulate the problem, allowing for a regularising monolayer viscosity. The viscosity-dependent corrections to the hole dynamics are analysed and found to be non-trivial, even when the monolayer viscosity is small; these corrections may explain the departure of experimental data from the theoretical prediction when the hole radius becomes comparable to the Saffman-Delbrück length. Through fitting, under these relaxed assumptions, we find the edge tension could be as much as six times larger (Formula Presented4.0 pN) than reported previously.

Original languageEnglish (US)
Article numberA1
JournalJournal of Fluid Mechanics
StatePublished - Oct 10 2022


  • Stokesian dynamics
  • thin films

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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