Inertial effects on contact line instability in the coating of a dry inclined plate

P. G. López, M. J. Miksis*, S. G. Bankoff

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

28 Scopus citations

Abstract

It has been observed that when a thin liquid film coats an initially dry inclined plane, a spanwise instability occurs at the leading edge. Here we develop a model for the evolution of this coating film which includes inertia, gravity, surface tension and the contact angle at the leading edge of the film. A Kármán-Pohlhausen method is used to include inertia. We determine steady state profiles of the film and investigate their stability The predictions of the model are compared to some recent experiments and we find good agreement. This theory gives improvement over a lubrication theory in experiments where Reynolds numbers are significantly larger than one.

Original languageEnglish (US)
Pages (from-to)2177-2183
Number of pages7
JournalPhysics of Fluids
Volume9
Issue number8
DOIs
StatePublished - Aug 1997

ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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