Singular surface points of steady-state traveling solutions of mathematical models of a falling fluid film

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Singular surface points of steady-state traveling solutions of mathematical models of a falling fluid film. / Vozhakov, I. S.; Arkhipov, D. G.; Yu Tsvelodub, O.

In: Journal of Physics: Conference Series, Vol. 1128, No. 1, 012083, 07.12.2018.

Research output: Contribution to journal › Conference article › peer-review

BibTeX

@article{2f98e33505c64e5c9b9dd1a1ab906043,

title = "Singular surface points of steady-state traveling solutions of mathematical models of a falling fluid film",

abstract = "The solutions to a divergent system of equations were studied numerically for a freely flowing fluid film. Various families of steady-state traveling solutions in a wide range of wave numbers were found. The shapes of the fluid film surface corresponding to these solutions are given. Specific ranges of parameter values, where re-closing of different families occurs, were determined. It is shown that they are the singular points of the saddle type.",

keywords = "LIQUID-FILM, CONDENSATION, WAVES, FLOW",

author = "Vozhakov, {I. S.} and Arkhipov, {D. G.} and {Yu Tsvelodub}, O.",

note = "Publisher Copyright: {\textcopyright} 2018 Institute of Physics Publishing. All rights reserved.; 3rd All-Russian Scientific Conference Thermophysics and Physical Hydrodynamics with the School for Young Scientists, TPH 2018 ; Conference date: 10-09-2018 Through 16-09-2018",

year = "2018",

month = dec,

day = "7",

doi = "10.1088/1742-6596/1128/1/012083",

language = "English",

volume = "1128",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

}

RIS

TY - JOUR

T1 - Singular surface points of steady-state traveling solutions of mathematical models of a falling fluid film

AU - Vozhakov, I. S.

AU - Arkhipov, D. G.

AU - Yu Tsvelodub, O.

PY - 2018/12/7

Y1 - 2018/12/7

N2 - The solutions to a divergent system of equations were studied numerically for a freely flowing fluid film. Various families of steady-state traveling solutions in a wide range of wave numbers were found. The shapes of the fluid film surface corresponding to these solutions are given. Specific ranges of parameter values, where re-closing of different families occurs, were determined. It is shown that they are the singular points of the saddle type.

AB - The solutions to a divergent system of equations were studied numerically for a freely flowing fluid film. Various families of steady-state traveling solutions in a wide range of wave numbers were found. The shapes of the fluid film surface corresponding to these solutions are given. Specific ranges of parameter values, where re-closing of different families occurs, were determined. It is shown that they are the singular points of the saddle type.

KW - LIQUID-FILM

KW - CONDENSATION

KW - WAVES

KW - FLOW

UR - http://www.scopus.com/inward/record.url?scp=85058670639&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1128/1/012083

DO - 10.1088/1742-6596/1128/1/012083

M3 - Conference article

AN - SCOPUS:85058670639

VL - 1128

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012083

T2 - 3rd All-Russian Scientific Conference Thermophysics and Physical Hydrodynamics with the School for Young Scientists, TPH 2018

Y2 - 10 September 2018 through 16 September 2018

ER -

ID: 17878126