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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2015, Volume 56, Issue 4, Pages 3–11
DOI: https://doi.org/10.15372/PMTF20150401 (Mi pmtf915) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Roll waves in channels with an active gas phase

A. Boudlala, V. Yu. Lyapidevskiibc

a Laboratory of Mechanics, Lille University of Science and Technology, UMR CNRS, 8107, Lille, France
b Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
c Novosibirsk State University, Novosibirsk, 630090, Russia
Full-text PDF (258 kB) Citations (3)
DOI: https://doi.org/10.15372/PMTF20150401
Abstract: A mathematical model of the flow of a thin layer of heavy liquid under an elastic shell filled with gas is constructed. By means of mass exchange with the environment, the gas phase is active and supports a self-organized wave motion in the liquid layer. The conditions under which small perturbations are transformed into quasiperiodic wave packets of finite amplitude, which move in the same direction, are found. It is shown that the structure of the waves is similar to that of roll waves in open channels.
Keywords: roll waves, hyperbolic equations, discontinuous solutions, stability of wave packets.
Received: 02.06.2014
English version:
Journal of Applied Mechanics and Technical Physics, 2015, Volume 56, Issue 4, Pages 541–548
DOI: https://doi.org/10.1134/S002189441504001X
Bibliographic databases:
Document Type: Article
UDC: 532.54:534.1
Language: Russian
Citation: A. Boudlal, V. Yu. Lyapidevskii, “Roll waves in channels with an active gas phase”, Prikl. Mekh. Tekh. Fiz., 56:4 (2015), 3–11; J. Appl. Mech. Tech. Phys., 56:4 (2015), 541–548
Citation in format AMSBIB
\Bibitem{BouLya15}
\by A.~Boudlal, V.~Yu.~Lyapidevskii
\paper Roll waves in channels with an active gas phase
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2015
\vol 56
\issue 4
\pages 3--11
\mathnet{http://mi.mathnet.ru/pmtf915}
\crossref{https://doi.org/10.15372/PMTF20150401}
\elib{https://elibrary.ru/item.asp?id=24502297}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2015
\vol 56
\issue 4
\pages 541--548
\crossref{https://doi.org/10.1134/S002189441504001X}
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    • This publication is cited in the following 3 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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