The effect of the contact line on droplet spreading

Patrick J. Haley, Michael J Miksis

Research output: Contribution to journalArticlepeer-review

142 Scopus citations

Abstract

The motion of the free surface of a viscous droplet is investigated. By using lubrication theory a model is developed for the motion of the free surface which includes both the effect of slip and the dependence of the contact angle on the slip velocity. We solve the resulting nonlinear partial differential equation in several ways. First we investigate the initial motion of the drop at a non-equilibrium contact angle using the method of matched asymptotics. Then we develop a pseudo-spectral method to numerically solve the full nonlinear system. The dependence of the spreading rate of the drop on the various physical parameters and for different slip models is determined.

Original languageEnglish (US)
Pages (from-to)57-81
Number of pages25
JournalJournal of fluid Mechanics
Volume223
DOIs
StatePublished - Jan 1 1991

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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