Universality in the nonlinear leveling of capillary films

Zhong Zheng, Marco A. Fontelos, Sangwoo Shin, Howard A. Stone

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


Many material science, coating, and manufacturing problems involve liquid films where defects that span the film thickness must be removed. Here, we study the surface-tension-driven leveling dynamics of a thin viscous film following closure of an initial hole. The dynamics of the film shape is described by a nonlinear evolution equation, for which we obtain a self-similar solution. The analytical results are verified using time-dependent numerical and experimental results for the profile shapes and the minimum film thickness at the center. The universal behavior we identify can be useful for characterizing the time evolution of the leveling process and estimating material properties from experiments.

Original languageEnglish (US)
Article number032001
JournalPhysical Review Fluids
Issue number3
StatePublished - Mar 2018

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Modeling and Simulation
  • Fluid Flow and Transfer Processes


Dive into the research topics of 'Universality in the nonlinear leveling of capillary films'. Together they form a unique fingerprint.

Cite this