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Sibirskii Zhurnal Industrial'noi Matematiki, 2014, Volume 17, Number 4, Pages 38–47 (Mi sjim857)  
This article is cited in 9 scientific papers (total in 9 papers)

A stationary flow of an incompressible viscoelastic polymeric fluid through a channel with elliptical cross section

A. M. Blokhinab, B. V. Semisalovc

a Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk
c Design Technological Institute of Digital Techniques SB RAS, 6 Rzhanov st., 630090 Novosibirsk
Full-text PDF (808 kB) Citations (9)
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Abstract: Some boundary-value problem for a quasilinear elliptic equation is posed. The solution to this problem defines the velocity profile for a stationary flow of an incompressible viscoelastic polymeric fluid through a tube having elliptical cross section. The problem is solved numerically with the use of a nonlocal algorithm without saturation.
Keywords: rheological model, boundary value problem, quasilinear elliptic equation, nonlocal numerical method.
Received: 12.05.2014
English version:
Journal of Applied and Industrial Mathematics, 2015, Volume 9, Issue 1, Pages 18–26
DOI: https://doi.org/10.1134/S1990478915010032
Bibliographic databases:
Document Type: Article
UDC: 517.956.3+532.135
Language: Russian
Citation: A. M. Blokhin, B. V. Semisalov, “A stationary flow of an incompressible viscoelastic polymeric fluid through a channel with elliptical cross section”, Sib. Zh. Ind. Mat., 17:4 (2014), 38–47; J. Appl. Industr. Math., 9:1 (2015), 18–26
Citation in format AMSBIB
\Bibitem{BloSem14}
\by A.~M.~Blokhin, B.~V.~Semisalov
\paper A stationary flow of an incompressible viscoelastic polymeric fluid through a channel with elliptical cross section
\jour Sib. Zh. Ind. Mat.
\yr 2014
\vol 17
\issue 4
\pages 38--47
\mathnet{http://mi.mathnet.ru/sjim857}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3364391}
\transl
\jour J. Appl. Industr. Math.
\yr 2015
\vol 9
\issue 1
\pages 18--26
\crossref{https://doi.org/10.1134/S1990478915010032}
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    • This publication is cited in the following 9 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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