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Sibirskii Zhurnal Industrial'noi Matematiki, 2019, Volume 22, Number 2, Pages 37–48
DOI: https://doi.org/10.33048/sibjim.2019.22.204 (Mi sjim1041) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Flow regimes in a flat elastic channel in presence of a local change of wall stiffness

V. Yu. Liapidevskiiab, A. K. Kheab, A. A. Chesnokovba

a Novosibirsk State University, ul. Pirogova 2, 630090 Novosibirsk
b Lavrentyev Institute of Hydrodynamics SB RAS, pr. Akad. Lavrentyeva 15, 630090 Novosibirsk
Full-text PDF (731 kB) Citations (3)
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DOI: https://doi.org/10.33048/sibjim.2019.22.204
Abstract: Some mathematical model is proposed of a flow in a long channel with compliant walls. This model allows us to describe both stationary and nonstationary (self-oscillatory) regimes of motion. The model is based on a two-layer representation of the flow with mass exchange between the layers. Stationary solutions are constructed and their structure is under study. We perform the numerical simulation of various flow regimes in presence of a local change of the wall stiffness. In particular, the solutions are constructed that describe the formation of a monotonic pseudoshock and the development of nonstationary self-oscillations.
Keywords: shallow water equations, pseudoshock, self-oscillations.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00498
Received: 21.01.2019
Revised: 21.01.2019
Accepted: 14.03.2019
English version:
Journal of Applied and Industrial Mathematics, 2019, Volume 13, Issue 2, Pages 270–279
DOI: https://doi.org/10.1134/S199047891902008X
Bibliographic databases:
Document Type: Article
UDC: 532.591:532.517
Language: Russian
Citation: V. Yu. Liapidevskii, A. K. Khe, A. A. Chesnokov, “Flow regimes in a flat elastic channel in presence of a local change of wall stiffness”, Sib. Zh. Ind. Mat., 22:2 (2019), 37–48; J. Appl. Industr. Math., 13:2 (2019), 270–279
Citation in format AMSBIB
\Bibitem{LyaKheChe19}
\by V.~Yu.~Liapidevskii, A.~K.~Khe, A.~A.~Chesnokov
\paper Flow regimes in a flat elastic channel in presence of a local change of wall stiffness
\jour Sib. Zh. Ind. Mat.
\yr 2019
\vol 22
\issue 2
\pages 37--48
\mathnet{http://mi.mathnet.ru/sjim1041}
\crossref{https://doi.org/10.33048/sibjim.2019.22.204}
\elib{https://elibrary.ru/item.asp?id=41635619}
\transl
\jour J. Appl. Industr. Math.
\yr 2019
\vol 13
\issue 2
\pages 270--279
\crossref{https://doi.org/10.1134/S199047891902008X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85067276005}
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    • 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
    		Сибирский журнал индустриальной математики
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