Singular surface points of steady-state traveling solutions of mathematical models of a falling fluid film

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Abstract

The solutions to a divergent system of equations were studied numerically for a freely flowing fluid film. Various families of steady-state traveling solutions in a wide range of wave numbers were found. The shapes of the fluid film surface corresponding to these solutions are given. Specific ranges of parameter values, where re-closing of different families occurs, were determined. It is shown that they are the singular points of the saddle type.

Original languageEnglish
Article number012083
Number of pages6
JournalJournal of Physics: Conference Series
Volume1128
Issue number1
DOIs
Publication statusPublished - 7 Dec 2018
Event3rd All-Russian Scientific Conference Thermophysics and Physical Hydrodynamics with the School for Young Scientists, TPH 2018 - Yalta, Crimea, Ukraine
Duration: 10 Sep 201816 Sep 2018

Keywords

  • LIQUID-FILM
  • CONDENSATION
  • WAVES
  • FLOW

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