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

Fingerprint

falling
Liquids
liquids
flow stability
planetary waves
boundary value problems
Boundary value problems
velocity distribution
perturbation
expansion

Keywords

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

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Model of a wavy flow in a falling film of a viscous liquid. / Aktershev, S. P.; Alekseenko, S. V.

In: Journal of Applied Mechanics and Technical Physics, Vol. 54, No. 2, 25.04.2013, p. 185-194.

Research output: Contribution to journalArticle

@article{671b4a9417cf40699e4fd61ffa4867b7,
title = "Model of a wavy flow in a falling film of a viscous liquid",
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.",
keywords = "basis functions, falling liquid film, flow stability, integral approach, waves",
author = "Aktershev, {S. P.} and Alekseenko, {S. V.}",
year = "2013",
month = "4",
day = "25",
doi = "10.1134/S0021894413020028",
language = "English",
volume = "54",
pages = "185--194",
journal = "Journal of Applied Mechanics and Technical Physics",
issn = "0021-8944",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "2",

}

TY - JOUR

T1 - Model of a wavy flow in a falling film of a viscous liquid

AU - Aktershev, S. P.

AU - Alekseenko, S. V.

PY - 2013/4/25

Y1 - 2013/4/25

N2 - 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.

AB - 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.

KW - basis functions

KW - falling liquid film

KW - flow stability

KW - integral approach

KW - waves

UR - http://www.scopus.com/inward/record.url?scp=84876451938&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84876451938&partnerID=8YFLogxK

U2 - 10.1134/S0021894413020028

DO - 10.1134/S0021894413020028

M3 - Article

VL - 54

SP - 185

EP - 194

JO - Journal of Applied Mechanics and Technical Physics

JF - Journal of Applied Mechanics and Technical Physics

SN - 0021-8944

IS - 2

ER -