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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2017, Volume 58, Issue 4, Pages 56–67
DOI: https://doi.org/10.15372/PMTF20170405 (Mi pmtf680) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Simulation of nonlinear waves on the surface of a thin fluid film moving under the action of turbulent gas flow

O. Yu. Tsvelodubab, D. G. Arkhipovab

a S.S. Kutateladze Institute of Thermophysics, Siberian Division of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
b Novosibirsk State University, Novosibirsk, 630090, Russia
Full-text PDF (495 kB) Citations (11)
DOI: https://doi.org/10.15372/PMTF20170405
Abstract: This paper derives a new system of equations for the simulation of the dynamics of long-wave perturbations on the surface of a thin horizontal layer of heavy viscous fluid moving under the action of turbulent gas flow. In the case of small Reynolds numbers of the fluid, this system of equations is used to derive an evolution equation for the value of deviation of the film thickness from the unperturbed level. Some solutions of this equation are given.
Keywords: viscous fluid film, gas flow, model system, evolution equation, evolution of perturbations.
Funding agency Grant number
Russian Science Foundation 16-19-10449
Received: 24.08.2016
English version:
Journal of Applied Mechanics and Technical Physics, 2017, Volume 58, Issue 4, Pages 619–628
DOI: https://doi.org/10.1134/S0021894417040058
Bibliographic databases:
Document Type: Article
UDC: 532.51
Language: Russian
Citation: O. Yu. Tsvelodub, D. G. Arkhipov, “Simulation of nonlinear waves on the surface of a thin fluid film moving under the action of turbulent gas flow”, Prikl. Mekh. Tekh. Fiz., 58:4 (2017), 56–67; J. Appl. Mech. Tech. Phys., 58:4 (2017), 619–628
Citation in format AMSBIB
\Bibitem{TsvArk17}
\by O.~Yu.~Tsvelodub, D.~G.~Arkhipov
\paper Simulation of nonlinear waves on the surface of a thin fluid film moving under the action of turbulent gas flow
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2017
\vol 58
\issue 4
\pages 56--67
\mathnet{http://mi.mathnet.ru/pmtf680}
\crossref{https://doi.org/10.15372/PMTF20170405}
\elib{https://elibrary.ru/item.asp?id=29823151}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2017
\vol 58
\issue 4
\pages 619--628
\crossref{https://doi.org/10.1134/S0021894417040058}
Linking options:
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  • https://www.mathnet.ru/eng/pmtf/v58/i4/p56
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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