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Sibirskii Zhurnal Industrial'noi Matematiki, 2016, Volume 19, Number 4, Pages 81–92
DOI: https://doi.org/10.17377/sibjim.2016.19.409 (Mi sjim941) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Formation of a cavity under an inclined separation impact of a circular cylinder under the free surface of a heavy fluid

M. V. Norkin

Southern Federal University, Department of Mathematics, Mechanics and Computer Science, 8a Milchakov str., 344090 Rostov-on-Don
Full-text PDF (309 kB) Citations (7)
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DOI: https://doi.org/10.17377/sibjim.2016.19.409
Abstract: A dynamical mixed problem on an impact and the subsequent constant-speed motion of a circular cylinder in an ideal incompressible fluid. We study the influence of the physical and geometrical parameters of the problem on the form of the cavity and the configuration of the external free surface of the fluid at small times. We carry out an asymptotic analysis of the internal free boundary of the fluid which accounts for the dynamics of the separation points. The force of the reaction of the medium to the cylinder is found. The necessity of introducing additional cavitation zones for the dynamical impact problem is justified.
Keywords: ideal incompressible fluid, circular cylinder, blow with separation, free border, cavity, small times, Froude number, cavitation number.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.1398.2014/к
Received: 30.11.2015
English version:
Journal of Applied and Industrial Mathematics, 2016, Volume 10, Issue 4, Pages 538–548
DOI: https://doi.org/10.1134/S1990478916040104
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: M. V. Norkin, “Formation of a cavity under an inclined separation impact of a circular cylinder under the free surface of a heavy fluid”, Sib. Zh. Ind. Mat., 19:4 (2016), 81–92; J. Appl. Industr. Math., 10:4 (2016), 538–548
Citation in format AMSBIB
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\by M.~V.~Norkin
\paper Formation of a~cavity under an inclined separation impact of a~circular cylinder under the free surface of a~heavy fluid
\jour Sib. Zh. Ind. Mat.
\yr 2016
\vol 19
\issue 4
\pages 81--92
\mathnet{http://mi.mathnet.ru/sjim941}
\crossref{https://doi.org/10.17377/sibjim.2016.19.409}
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\elib{https://elibrary.ru/item.asp?id=27208360}
\transl
\jour J. Appl. Industr. Math.
\yr 2016
\vol 10
\issue 4
\pages 538--548
\crossref{https://doi.org/10.1134/S1990478916040104}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84996542683}
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    • This publication is cited in the following 7 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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