Waves on the surface of a thin layer of viscous liquid

V. E. Nakoryakov, I. R. Shreiber

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Under the assumption that the boundary layer approximation for the original equations is valid, we show the possibility of the existence of progressive waves on the surface of a vertically flowing film when surface tension is neglected. From the system of equations obtained for a thin layer of viscous liquid flowing down an inclined plane, one equation for perturbations of a thin film follows. Steady solutions of this equation allow periodic discontinuous solutions of the roll-wave type.

Original languageEnglish
Pages (from-to)237-241
Number of pages5
JournalJournal of Applied Mechanics and Technical Physics
Issue number2
StatePublished - 1 Mar 1973

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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