Simulating nonlinear steady-state traveling waves on the falling liquid film entrained by a gas flow

O. Yu Tsvelodub, A. A. Bocharov

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

The article is devoted to the simulation of nonlinear waves on a liquid film flowing under gravity in the known stress field at the interface. The paper studies nonlinear waves on a liquid film, flowing under the action of gravity in a known stress field at the interface. In the case of small Reynolds numbers the problem is reduced to the consideration of solutions of the nonlinear integral-differential equation for film thickness deviation from the undisturbed level. The periodic and soliton steady-state traveling solutions of this equation have been numerically found. The analysis of branching of new families of steady-state traveling solutions has been performed. In particular, it is shown that this model equation has solutions in the form of solitons-humps.

Original languageEnglish
Article number032023
Number of pages6
JournalJournal of Physics: Conference Series
Volume899
Issue number3
DOIs
Publication statusPublished - 27 Sep 2017

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