MOVING CONTACT LINES AND RIVULET INSTABILITIES - 1. THE STATIC RIVULET.

Stephen H. Davis*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

130 Scopus citations

Abstract

A rivulet is a narrow steam of liquid located on a solid surface and sharing a curved interface with the surrounding gas. Capillary instabilities are investigated by a linearized stability theory. The formulation is for small, static rivulets whose contact (common or three-phase) lines are fixed, move but have fixed contact angles or move but have contact angles smooth functions of contact-line speeds. The linearized stability equations are converted to a disturbance kinetic-energy balance showing that the disturbance response exactly satisfies a damper linear harmonic-oscillator equation. The 'damping coefficient' contains the bulk viscous dissipation, the effect of slip along the solid and all dynamic effects that arise in the third contact-line condition. For small disturbances changes in contact angle with contact-line speed constitute a purely dissipative process. Results are independent of slip model at the liquid-solid interface as long as a certain integral inequality holds. Sufficient conditions for stability are obtained in all cases. Refs.

Original languageEnglish (US)
Pages (from-to)225-242
Number of pages18
JournalJournal of fluid Mechanics
Volume98
Issue numberpt 2
StatePublished - Jan 1 1980

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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