Model of a wavy flow in a falling film of a viscous liquid

S. P. Aktershev, S. V. Alekseenko

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

A new model is developed for describing long-wave perturbations in a falling film of a viscous liquid. The model is based on an integral approach and an expansion of the velocity profile into a series in linearly independent basis functions of a boundary-value problem. A linear analysis of film flow stability is performed, and dispersion dependences are obtained. Results predicted by the new model are demonstrated to be in good agreement with available experimental data on the film flow over a gently sloping surface.

Original languageEnglish
Pages (from-to)185-194
Number of pages10
JournalJournal of Applied Mechanics and Technical Physics
Volume54
Issue number2
DOIs
Publication statusPublished - 25 Apr 2013
Externally publishedYes

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Keywords

  • basis functions
  • falling liquid film
  • flow stability
  • integral approach
  • waves

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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