Long-wave instabilities of heated falling films: Two-dimensional theory of uniform layers

S. W. Joo, Stephen H Davis

Research output: Contribution to journalArticlepeer-review

228 Scopus citations

Abstract

A layer of volatile viscous liquid drains down a uniformly heated inclined plate. Long-wave instabilities of the uniform film are studied by deriving an evolution equation for two-dimensional disturbances. This equation incorporates viscosity, gravity, surface tension, thermocapillarity, and evaporation effects. The linear theory derived from this describes the competition among the instabilities. Numerical solution of the evolution equation describes the finite-amplitude behaviour that determines the propensity for dryout of the film. Among the phenomena that appear are the tendency to wave breaking, the creation of secondary structures, and the pre-emption of dryout by mean flow.

Original languageEnglish (US)
Pages (from-to)117-146
Number of pages30
JournalJournal of Fluid Mechanics
Volume230
DOIs
StatePublished - Jan 1 1991

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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