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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2007, Volume 48, Issue 4, Pages 49–61 (Mi pmtf2052)  
This article is cited in 3 scientific papers (total in 3 papers)

Evolution of long nonlinear waves on the interface of a stratified viscous fluid flow in a channel

D. G. Arkhipovab, G. A. Khabakhpashevab

a Kutateladze Institute of Thermophysics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
b Novosibirsk State University, Novosibirsk, 630090
Full-text PDF (474 kB) Citations (3)
Abstract: The dynamics of disturbances of the interface between two layers of incompressible immiscible fluids of different densities in the presence of a steady flow between the horizontal bottom and lid is studied analytically and numerically. A model integrodifferential equation is derived, which takes into account long-wave contributions of inertial layers and surface tension of the fluids, small but finite amplitude of disturbances, and unsteady shear stresses on all boundaries. Numerical solutions of this equation are given for the most typical nonlinear problems of transformation of both plane waves of different lengths and solitary waves.
Keywords: viscous fluids, interface, two-layer Poiseuille flow, long waves, nonlinear disturbances, solitary waves.
Received: 20.06.2006
English version:
Journal of Applied Mechanics and Technical Physics, 2007, Volume 48, Issue 4, Pages 508–518
DOI: https://doi.org/10.1007/s10808-007-0064-1
Bibliographic databases:
Document Type: Article
UDC: 532.592:532.517.2
Language: Russian
Citation: D. G. Arkhipov, G. A. Khabakhpashev, “Evolution of long nonlinear waves on the interface of a stratified viscous fluid flow in a channel”, Prikl. Mekh. Tekh. Fiz., 48:4 (2007), 49–61; J. Appl. Mech. Tech. Phys., 48:4 (2007), 508–518
Citation in format AMSBIB
\Bibitem{ArkKha07}
\by D.~G.~Arkhipov, G.~A.~Khabakhpashev
\paper Evolution of long nonlinear waves on the interface of a stratified viscous fluid flow in a channel
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2007
\vol 48
\issue 4
\pages 49--61
\mathnet{http://mi.mathnet.ru/pmtf2052}
\elib{https://elibrary.ru/item.asp?id=19041405}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2007
\vol 48
\issue 4
\pages 508--518
\crossref{https://doi.org/10.1007/s10808-007-0064-1}
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  • https://www.mathnet.ru/eng/pmtf/v48/i4/p49
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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