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Matematicheskoe modelirovanie, 2019, Volume 31, Number 6, Pages 43–54
DOI: https://doi.org/10.1134/S0234087919060030
(Mi mm4079)
 

This article is cited in 2 scientific papers (total in 2 papers)

Nonlinear features of a fluid flow in the elastic pipeline

A. N. Volobuev

Samara State Medical University, Department of Medical Physics, Samara
Full-text PDF (296 kB) Citations (2)
References:
Abstract: Process of a fluid flow in the elastic pipeline with the fixed ends is considered. It is shown that in such pipeline probably occurrence of auto-oscillations of a wall and a fluid stream or flutter of a skin mode. The solution of a system of the nonlinear hydrodynamical equations describing these auto-oscillations in elementary functions is submitted. It is shown that standing waves in the elastic pipeline arise not owing to summation of direct and return running waves.
Keywords: elastic pipeline, nonlinear system, auto-oscillations, standing waves.
Received: 30.05.2018
Revised: 17.09.2018
Accepted: 19.11.2018
English version:
Mathematical Models and Computer Simulations, 2020, Volume 12, Issue 1, Pages 53–59
DOI: https://doi.org/10.1134/S2070048220010093
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. N. Volobuev, “Nonlinear features of a fluid flow in the elastic pipeline”, Matem. Mod., 31:6 (2019), 43–54; Math. Models Comput. Simul., 12:1 (2020), 53–59
Citation in format AMSBIB
\Bibitem{Vol19}
\by A.~N.~Volobuev
\paper Nonlinear features of a fluid flow in the elastic pipeline
\jour Matem. Mod.
\yr 2019
\vol 31
\issue 6
\pages 43--54
\mathnet{http://mi.mathnet.ru/mm4079}
\crossref{https://doi.org/10.1134/S0234087919060030}
\elib{https://elibrary.ru/item.asp?id=37424212}
\transl
\jour Math. Models Comput. Simul.
\yr 2020
\vol 12
\issue 1
\pages 53--59
\crossref{https://doi.org/10.1134/S2070048220010093}
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  • https://www.mathnet.ru/eng/mm4079
  • https://www.mathnet.ru/eng/mm/v31/i6/p43
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    Abstract page:320
    Full-text PDF :135
    References:52
    First page:9
     
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