On falling-film instabilities and wave breaking

S. W. Joo; S. H. Davis; S. G. Bankoff

doi:10.1063/1.857858

On falling-film instabilities and wave breaking

S. W. Joo^*, S. H. Davis, S. G. Bankoff

^*Corresponding author for this work

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

9 Scopus citations

Abstract

Long-wave instabilities of thin viscous films flowing down inclined planes are studied. Numerical solutions of the full long-wave evolution equation show that wave profiles grow superexponentially and evolve toward breaking when the surface tension takes on realistically small values. This contrasts with the solutions of the Kuramoto-Sivashinsky equation, which do not tend toward breaking. The use of the full equation thus dispenses with the need to introduce the formally small curvature terms into the Kuramoto-Sivashinsky equation, as suggessted by Rosenau and Oron [Phys. Fluids A 1, 1763 ( 1989)].

Original language	English (US)
Pages (from-to)	231-232
Number of pages	2
Journal	Physics of Fluids A
Volume	3
Issue number	1
DOIs	https://doi.org/10.1063/1.857858
State	Published - 1991
Externally published	Yes

ASJC Scopus subject areas

Engineering(all)

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10.1063/1.857858

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title = "On falling-film instabilities and wave breaking",

abstract = "Long-wave instabilities of thin viscous films flowing down inclined planes are studied. Numerical solutions of the full long-wave evolution equation show that wave profiles grow superexponentially and evolve toward breaking when the surface tension takes on realistically small values. This contrasts with the solutions of the Kuramoto-Sivashinsky equation, which do not tend toward breaking. The use of the full equation thus dispenses with the need to introduce the formally small curvature terms into the Kuramoto-Sivashinsky equation, as suggessted by Rosenau and Oron [Phys. Fluids A 1, 1763 ( 1989)].",

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

year = "1991",

doi = "10.1063/1.857858",

language = "English (US)",

volume = "3",

pages = "231--232",

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T1 - On falling-film instabilities and wave breaking

AU - Joo, S. W.

AU - Davis, S. H.

AU - Bankoff, S. G.

PY - 1991

Y1 - 1991

N2 - Long-wave instabilities of thin viscous films flowing down inclined planes are studied. Numerical solutions of the full long-wave evolution equation show that wave profiles grow superexponentially and evolve toward breaking when the surface tension takes on realistically small values. This contrasts with the solutions of the Kuramoto-Sivashinsky equation, which do not tend toward breaking. The use of the full equation thus dispenses with the need to introduce the formally small curvature terms into the Kuramoto-Sivashinsky equation, as suggessted by Rosenau and Oron [Phys. Fluids A 1, 1763 ( 1989)].

AB - Long-wave instabilities of thin viscous films flowing down inclined planes are studied. Numerical solutions of the full long-wave evolution equation show that wave profiles grow superexponentially and evolve toward breaking when the surface tension takes on realistically small values. This contrasts with the solutions of the Kuramoto-Sivashinsky equation, which do not tend toward breaking. The use of the full equation thus dispenses with the need to introduce the formally small curvature terms into the Kuramoto-Sivashinsky equation, as suggessted by Rosenau and Oron [Phys. Fluids A 1, 1763 ( 1989)].

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DO - 10.1063/1.857858

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JO - Physics of fluids. A, Fluid dynamics

JF - Physics of fluids. A, Fluid dynamics

IS - 1

ER -

On falling-film instabilities and wave breaking

Abstract

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