Irregular Waves on Viscous Falling Films

S. W. Joo; S. H. Davis

doi:10.1080/00986449208936089

Irregular Waves on Viscous Falling Films

S. W. Joo, S. H. Davis

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

A thin viscous film falling down a vertical plane is studied. In particular, the interfacial wave is analyzed via a long-wave evolution equation of Benney type. Three instabilities are discussed in relation to the generation of chaotic waves observed in many experiments. The primary wave motion is induced by the surface-wave instability, and the waves can subsequently become chaotic due to spatially-subharmonic and three-dimensional instabilities. These secondary instabilities are demonstrated by numerical simulation in a spatially periodic domain. The evolution equation contains a description of the deterministic chaos.

Original language	English (US)
Pages (from-to)	111-123
Number of pages	13
Journal	Chemical Engineering Communications
Volume	118
Issue number	1
DOIs	https://doi.org/10.1080/00986449208936089
State	Published - Nov 1 1992
Externally published	Yes

Keywords

Chaos
Film
Instability
Interface
Wave

ASJC Scopus subject areas

Chemistry(all)
Chemical Engineering(all)

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10.1080/00986449208936089

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title = "Irregular Waves on Viscous Falling Films",

abstract = "A thin viscous film falling down a vertical plane is studied. In particular, the interfacial wave is analyzed via a long-wave evolution equation of Benney type. Three instabilities are discussed in relation to the generation of chaotic waves observed in many experiments. The primary wave motion is induced by the surface-wave instability, and the waves can subsequently become chaotic due to spatially-subharmonic and three-dimensional instabilities. These secondary instabilities are demonstrated by numerical simulation in a spatially periodic domain. The evolution equation contains a description of the deterministic chaos.",

keywords = "Chaos, Film, Instability, Interface, Wave",

author = "Joo, {S. W.} and Davis, {S. H.}",

note = "Funding Information: The authors gratefully acknowledge Professor S.G. Bankoff and H. Riecke for valuable discussions. This work was supported by U.S. Department of Energy, Division of Basic Energy Sciences, through Grant no. DE FG02-86ER13641.",

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AU - Joo, S. W.

AU - Davis, S. H.

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PY - 1992/11/1

Y1 - 1992/11/1

N2 - A thin viscous film falling down a vertical plane is studied. In particular, the interfacial wave is analyzed via a long-wave evolution equation of Benney type. Three instabilities are discussed in relation to the generation of chaotic waves observed in many experiments. The primary wave motion is induced by the surface-wave instability, and the waves can subsequently become chaotic due to spatially-subharmonic and three-dimensional instabilities. These secondary instabilities are demonstrated by numerical simulation in a spatially periodic domain. The evolution equation contains a description of the deterministic chaos.

AB - A thin viscous film falling down a vertical plane is studied. In particular, the interfacial wave is analyzed via a long-wave evolution equation of Benney type. Three instabilities are discussed in relation to the generation of chaotic waves observed in many experiments. The primary wave motion is induced by the surface-wave instability, and the waves can subsequently become chaotic due to spatially-subharmonic and three-dimensional instabilities. These secondary instabilities are demonstrated by numerical simulation in a spatially periodic domain. The evolution equation contains a description of the deterministic chaos.

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KW - Film

KW - Instability

KW - Interface

KW - Wave

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JF - Chemical Engineering Communications

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Irregular Waves on Viscous Falling Films

Abstract

Keywords

ASJC Scopus subject areas

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