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Simulating nonlinear steady-state traveling waves on the falling liquid film entrained by a gas flow. / Tsvelodub, O. Yu; Bocharov, A. A.

In: Journal of Physics: Conference Series, Vol. 899, No. 3, 032023, 27.09.2017.

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Tsvelodub OY, Bocharov AA. Simulating nonlinear steady-state traveling waves on the falling liquid film entrained by a gas flow. Journal of Physics: Conference Series. 2017 Sept 27;899(3):032023. doi: 10.1088/1742-6596/899/3/032023

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Tsvelodub, O. Yu ; Bocharov, A. A. / Simulating nonlinear steady-state traveling waves on the falling liquid film entrained by a gas flow. In: Journal of Physics: Conference Series. 2017 ; Vol. 899, No. 3.

BibTeX

@article{33f0c244de3a4025acfc8041fb55e1dc,
title = "Simulating nonlinear steady-state traveling waves on the falling liquid film entrained by a gas flow",
abstract = "The article is devoted to the simulation of nonlinear waves on a liquid film flowing under gravity in the known stress field at the interface. The paper studies nonlinear waves on a liquid film, flowing under the action of gravity in a known stress field at the interface. In the case of small Reynolds numbers the problem is reduced to the consideration of solutions of the nonlinear integral-differential equation for film thickness deviation from the undisturbed level. The periodic and soliton steady-state traveling solutions of this equation have been numerically found. The analysis of branching of new families of steady-state traveling solutions has been performed. In particular, it is shown that this model equation has solutions in the form of solitons-humps.",
author = "Tsvelodub, {O. Yu} and Bocharov, {A. A.}",
year = "2017",
month = sep,
day = "27",
doi = "10.1088/1742-6596/899/3/032023",
language = "English",
volume = "899",
journal = "Journal of Physics: Conference Series",
issn = "1742-6588",
publisher = "IOP Publishing Ltd.",
number = "3",

}

RIS

TY - JOUR

T1 - Simulating nonlinear steady-state traveling waves on the falling liquid film entrained by a gas flow

AU - Tsvelodub, O. Yu

AU - Bocharov, A. A.

PY - 2017/9/27

Y1 - 2017/9/27

N2 - The article is devoted to the simulation of nonlinear waves on a liquid film flowing under gravity in the known stress field at the interface. The paper studies nonlinear waves on a liquid film, flowing under the action of gravity in a known stress field at the interface. In the case of small Reynolds numbers the problem is reduced to the consideration of solutions of the nonlinear integral-differential equation for film thickness deviation from the undisturbed level. The periodic and soliton steady-state traveling solutions of this equation have been numerically found. The analysis of branching of new families of steady-state traveling solutions has been performed. In particular, it is shown that this model equation has solutions in the form of solitons-humps.

AB - The article is devoted to the simulation of nonlinear waves on a liquid film flowing under gravity in the known stress field at the interface. The paper studies nonlinear waves on a liquid film, flowing under the action of gravity in a known stress field at the interface. In the case of small Reynolds numbers the problem is reduced to the consideration of solutions of the nonlinear integral-differential equation for film thickness deviation from the undisturbed level. The periodic and soliton steady-state traveling solutions of this equation have been numerically found. The analysis of branching of new families of steady-state traveling solutions has been performed. In particular, it is shown that this model equation has solutions in the form of solitons-humps.

UR - http://www.scopus.com/inward/record.url?scp=85033779649&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/899/3/032023

DO - 10.1088/1742-6596/899/3/032023

M3 - Article

AN - SCOPUS:85033779649

VL - 899

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 3

M1 - 032023

ER -

ID: 9697716