Stability and evolution of a dry spot

P. G. López, Michael J Miksis, S. G. Bankoff

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

The motion of a thin viscous layer of fluid on a horizontal solid surface bounded laterally by a dry spot and a vertical solid wall is considered. A lubrication model with contact line motion is studied. We find that for a container of fixed length the axisymmetric equilibrium solutions with small dry spots are unstable to axisymmetric disturbances. As the size of the dry spot increases, the equilibrium solutions become unstable to nonaxisymmetric disturbances. In addition, we present numerical solutions of the nonlinear evolution equations in the axisymmetric and nonaxisymmetric cases for different values of the parameters. The axisymmetric results show good agreement with existing experimental results.

Original languageEnglish (US)
Pages (from-to)1601-1614
Number of pages14
JournalPhysics of Fluids
Volume13
Issue number6
DOIs
StatePublished - Jan 1 2001

ASJC Scopus subject areas

  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'Stability and evolution of a dry spot'. Together they form a unique fingerprint.

Cite this