Wave formation on a vertical falling liquid film

S. V. Alekseenko, V. Ye Nakoryakov, B. G. Pokusaev

Research output: Contribution to journalArticle

200 Citations (Scopus)

Abstract

The method of integral relations is used to derive a nonlinear two‐wave equation for long waves on the surface of vertical falling liquid films. This equation is valid within a range of moderate Reynolds numbers and and be reduced in some cases to other well‐known equations. The theoretical results for the fastest growing waves are compared with the experimental results concerning velocities, wave numbers, and growth rates of the waves in the inception region. The validity of the theoretical assumptions is also confirmed by direct measurements of instantaneous velocity profiles in a wave liquid film. The results of the experimental investigation concerning nonlinear stationary waves and the evolution of initial solitary disturbances are presented.

Original languageEnglish
Pages (from-to)1446-1460
Number of pages15
JournalAICHE Journal
Volume31
Issue number9
DOIs
Publication statusPublished - 1 Jan 1985
Externally publishedYes

Fingerprint

Liquid films
Growth
Nonlinear equations
Reynolds number

ASJC Scopus subject areas

  • Biotechnology
  • Environmental Engineering
  • Chemical Engineering(all)

Cite this

Wave formation on a vertical falling liquid film. / Alekseenko, S. V.; Nakoryakov, V. Ye; Pokusaev, B. G.

In: AICHE Journal, Vol. 31, No. 9, 01.01.1985, p. 1446-1460.

Research output: Contribution to journalArticle

Alekseenko, SV, Nakoryakov, VY & Pokusaev, BG 1985, 'Wave formation on a vertical falling liquid film', AICHE Journal, vol. 31, no. 9, pp. 1446-1460. https://doi.org/10.1002/aic.690310907
Alekseenko, S. V. ; Nakoryakov, V. Ye ; Pokusaev, B. G. / Wave formation on a vertical falling liquid film. In: AICHE Journal. 1985 ; Vol. 31, No. 9. pp. 1446-1460.
@article{6110d8c6809e4b55a93cd324f3f0790c,
title = "Wave formation on a vertical falling liquid film",
abstract = "The method of integral relations is used to derive a nonlinear two‐wave equation for long waves on the surface of vertical falling liquid films. This equation is valid within a range of moderate Reynolds numbers and and be reduced in some cases to other well‐known equations. The theoretical results for the fastest growing waves are compared with the experimental results concerning velocities, wave numbers, and growth rates of the waves in the inception region. The validity of the theoretical assumptions is also confirmed by direct measurements of instantaneous velocity profiles in a wave liquid film. The results of the experimental investigation concerning nonlinear stationary waves and the evolution of initial solitary disturbances are presented.",
author = "Alekseenko, {S. V.} and Nakoryakov, {V. Ye} and Pokusaev, {B. G.}",
year = "1985",
month = "1",
day = "1",
doi = "10.1002/aic.690310907",
language = "English",
volume = "31",
pages = "1446--1460",
journal = "AICHE Journal",
issn = "0001-1541",
publisher = "American Institute of Chemical Engineers",
number = "9",

}

TY - JOUR

T1 - Wave formation on a vertical falling liquid film

AU - Alekseenko, S. V.

AU - Nakoryakov, V. Ye

AU - Pokusaev, B. G.

PY - 1985/1/1

Y1 - 1985/1/1

N2 - The method of integral relations is used to derive a nonlinear two‐wave equation for long waves on the surface of vertical falling liquid films. This equation is valid within a range of moderate Reynolds numbers and and be reduced in some cases to other well‐known equations. The theoretical results for the fastest growing waves are compared with the experimental results concerning velocities, wave numbers, and growth rates of the waves in the inception region. The validity of the theoretical assumptions is also confirmed by direct measurements of instantaneous velocity profiles in a wave liquid film. The results of the experimental investigation concerning nonlinear stationary waves and the evolution of initial solitary disturbances are presented.

AB - The method of integral relations is used to derive a nonlinear two‐wave equation for long waves on the surface of vertical falling liquid films. This equation is valid within a range of moderate Reynolds numbers and and be reduced in some cases to other well‐known equations. The theoretical results for the fastest growing waves are compared with the experimental results concerning velocities, wave numbers, and growth rates of the waves in the inception region. The validity of the theoretical assumptions is also confirmed by direct measurements of instantaneous velocity profiles in a wave liquid film. The results of the experimental investigation concerning nonlinear stationary waves and the evolution of initial solitary disturbances are presented.

UR - http://www.scopus.com/inward/record.url?scp=0022129451&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022129451&partnerID=8YFLogxK

U2 - 10.1002/aic.690310907

DO - 10.1002/aic.690310907

M3 - Article

AN - SCOPUS:0022129451

VL - 31

SP - 1446

EP - 1460

JO - AICHE Journal

JF - AICHE Journal

SN - 0001-1541

IS - 9

ER -