Standard

Modeling nonlinear wave regimes in a falling liquid film entrained by a gas flow. / Tsvelodub, O. Yu; Bocharov, A. A.

In: Chaos, Solitons and Fractals, Vol. 104, 01.11.2017, p. 580-587.

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

Harvard

Tsvelodub, OY & Bocharov, AA 2017, 'Modeling nonlinear wave regimes in a falling liquid film entrained by a gas flow', Chaos, Solitons and Fractals, vol. 104, pp. 580-587. https://doi.org/10.1016/j.chaos.2017.09.018

APA

Tsvelodub, O. Y., & Bocharov, A. A. (2017). Modeling nonlinear wave regimes in a falling liquid film entrained by a gas flow. Chaos, Solitons and Fractals, 104, 580-587. https://doi.org/10.1016/j.chaos.2017.09.018

Vancouver

Tsvelodub OY, Bocharov AA. Modeling nonlinear wave regimes in a falling liquid film entrained by a gas flow. Chaos, Solitons and Fractals. 2017 Nov 1;104:580-587. doi: 10.1016/j.chaos.2017.09.018

Author

Tsvelodub, O. Yu ; Bocharov, A. A. / Modeling nonlinear wave regimes in a falling liquid film entrained by a gas flow. In: Chaos, Solitons and Fractals. 2017 ; Vol. 104. pp. 580-587.

BibTeX

@article{233c70d0109645f49d87ff859d0a7f7d,
title = "Modeling nonlinear wave regimes in a falling liquid film entrained by a gas flow",
abstract = "The article 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 solving a nonlinear integro-differential equation for the film thickness deviation from the undisturbed level. The nature of branching of wave modes of the unperturbed flow with a flat interface has been investigated. The steady-state traveling solutions with wave numbers that are far enough from the neutral ones, have been numerically found. Using methods of stability theory, the analysis of branching of new families of steady-state traveling solutions has been performed. In particular, it is shown that, similarly to the case of the falling film, this model equation has solutions in the form of solitons-humps.",
keywords = "Flowing film, Gas flow, Nonlinear model equation, Soliton solutions, Stability, Steady-state traveling solutions, EVAPORATION, DYNAMICS, THIN",
author = "Tsvelodub, {O. Yu} and Bocharov, {A. A.}",
year = "2017",
month = nov,
day = "1",
doi = "10.1016/j.chaos.2017.09.018",
language = "English",
volume = "104",
pages = "580--587",
journal = "Chaos, Solitons and Fractals",
issn = "0960-0779",
publisher = "Elsevier Ltd",

}

RIS

TY - JOUR

T1 - Modeling nonlinear wave regimes in a falling liquid film entrained by a gas flow

AU - Tsvelodub, O. Yu

AU - Bocharov, A. A.

PY - 2017/11/1

Y1 - 2017/11/1

N2 - The article 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 solving a nonlinear integro-differential equation for the film thickness deviation from the undisturbed level. The nature of branching of wave modes of the unperturbed flow with a flat interface has been investigated. The steady-state traveling solutions with wave numbers that are far enough from the neutral ones, have been numerically found. Using methods of stability theory, the analysis of branching of new families of steady-state traveling solutions has been performed. In particular, it is shown that, similarly to the case of the falling film, this model equation has solutions in the form of solitons-humps.

AB - The article 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 solving a nonlinear integro-differential equation for the film thickness deviation from the undisturbed level. The nature of branching of wave modes of the unperturbed flow with a flat interface has been investigated. The steady-state traveling solutions with wave numbers that are far enough from the neutral ones, have been numerically found. Using methods of stability theory, the analysis of branching of new families of steady-state traveling solutions has been performed. In particular, it is shown that, similarly to the case of the falling film, this model equation has solutions in the form of solitons-humps.

KW - Flowing film

KW - Gas flow

KW - Nonlinear model equation

KW - Soliton solutions

KW - Stability

KW - Steady-state traveling solutions

KW - EVAPORATION

KW - DYNAMICS

KW - THIN

UR - http://www.scopus.com/inward/record.url?scp=85029722782&partnerID=8YFLogxK

U2 - 10.1016/j.chaos.2017.09.018

DO - 10.1016/j.chaos.2017.09.018

M3 - Article

AN - SCOPUS:85029722782

VL - 104

SP - 580

EP - 587

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

SN - 0960-0779

ER -

ID: 9907710