Wave formation on vertical falling liquid films

Abstract

The method of integral relations is used to derive a nonlinear "two-wave" structure equation for long waves on the surface of vertical falling liquid films. This equation is valid in a wide range of Reynolds numbers and reduces to the known equations for high and low Re. Theoretical data for the fastest growing waves are compared with the experimental results on velocities, wave numbers and growth rates of the waves in the inception region. The validity of theoretical assumptions is also confirmed by the direct measurements of the instantaneous velocity profiles in a wave liquid film.

Original language	English
Pages (from-to)	607-627
Number of pages	21
Journal	International Journal of Multiphase Flow
Volume	11
Issue number	5
DOIs	https://doi.org/10.1016/0301-9322(85)90082-5
Publication status	Published - 1 Jan 1985
Externally published	Yes

ASJC Scopus subject areas

Mechanical Engineering
Physics and Astronomy(all)
Fluid Flow and Transfer Processes

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10.1016/0301-9322(85)90082-5

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title = "Wave formation on vertical falling liquid films",

abstract = "The method of integral relations is used to derive a nonlinear {"}two-wave{"} structure equation for long waves on the surface of vertical falling liquid films. This equation is valid in a wide range of Reynolds numbers and reduces to the known equations for high and low Re. Theoretical data for the fastest growing waves are compared with the experimental results on velocities, wave numbers and growth rates of the waves in the inception region. The validity of theoretical assumptions is also confirmed by the direct measurements of the instantaneous velocity profiles in a wave liquid film.",

author = "Alekseenko, {S. V.} and Nakoryakov, {V. E.} and Pokusaev, {B. G.}",

year = "1985",

month = jan,

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doi = "10.1016/0301-9322(85)90082-5",

language = "English",

volume = "11",

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journal = "International Journal of Multiphase Flow",

issn = "0301-9322",

publisher = "Elsevier BV",

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T1 - Wave formation on vertical falling liquid films

AU - Alekseenko, S. V.

AU - Nakoryakov, V. E.

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" structure equation for long waves on the surface of vertical falling liquid films. This equation is valid in a wide range of Reynolds numbers and reduces to the known equations for high and low Re. Theoretical data for the fastest growing waves are compared with the experimental results on velocities, wave numbers and growth rates of the waves in the inception region. The validity of theoretical assumptions is also confirmed by the direct measurements of the instantaneous velocity profiles in a wave liquid film.

AB - The method of integral relations is used to derive a nonlinear "two-wave" structure equation for long waves on the surface of vertical falling liquid films. This equation is valid in a wide range of Reynolds numbers and reduces to the known equations for high and low Re. Theoretical data for the fastest growing waves are compared with the experimental results on velocities, wave numbers and growth rates of the waves in the inception region. The validity of theoretical assumptions is also confirmed by the direct measurements of the instantaneous velocity profiles in a wave liquid film.

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