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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2012, Volume 53, Issue 1, Pages 51–57 (Mi pmtf1326)  
This article is cited in 13 scientific papers (total in 13 papers)

Nonlinear model of a pipeline in a gravity field with an ideal fluid moving through it

V. V. Bashurova, N. A. Vaganovab, A. I. Kropotova, M. V. Pchelintsevc, N. A. Skorkinc, M. Yu. Filimonovb

a Center of Environmental and Technogenic Monitoring, Treekhgornyi, 456080, Russia
b Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Ekaterinburg, 620219, Russia
c Snezhinsk Physics and Technology Institute (Branch of the National Nuclear Research Nuclear University MEPhI), Snezhinsk, 456770, Russia
Full-text PDF (220 kB) Citations (13)
Abstract: A nonlinear model describing the movement of a pipeline with fluid moving through it and allowing consideration of a number of applications that do not have solutions within the linear model is proposed. The problem of equilibrium of a pipe with fluid moving through it in the gravity field is solved. An exact solution for the simplified non-stationary model equation is constructed.
Keywords: pipeline, equilibrium, deformation, exact solution.
Received: 26.01.2011
Accepted: 14.04.2011
English version:
Journal of Applied Mechanics and Technical Physics, 2012, Volume 53, Issue 1, Pages 43–48
DOI: https://doi.org/10.1134/S0021894412010063
Bibliographic databases:
Document Type: Article
UDC: 539.313+517.957
Language: Russian
Citation: V. V. Bashurov, N. A. Vaganova, A. I. Kropotov, M. V. Pchelintsev, N. A. Skorkin, M. Yu. Filimonov, “Nonlinear model of a pipeline in a gravity field with an ideal fluid moving through it”, Prikl. Mekh. Tekh. Fiz., 53:1 (2012), 51–57; J. Appl. Mech. Tech. Phys., 53:1 (2012), 43–48
Citation in format AMSBIB
\Bibitem{BasVagKro12}
\by V.~V.~Bashurov, N.~A.~Vaganova, A.~I.~Kropotov, M.~V.~Pchelintsev, N.~A.~Skorkin, M.~Yu.~Filimonov
\paper Nonlinear model of a pipeline in a gravity field with an ideal fluid moving through it
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2012
\vol 53
\issue 1
\pages 51--57
\mathnet{http://mi.mathnet.ru/pmtf1326}
\elib{https://elibrary.ru/item.asp?id=17320580}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2012
\vol 53
\issue 1
\pages 43--48
\crossref{https://doi.org/10.1134/S0021894412010063}
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  • https://www.mathnet.ru/eng/pmtf/v53/i1/p51
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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