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Zh. Vychisl. Mat. Mat. Fiz., 2017, Volume 57, Number 7, Pages 1184–1197 (Mi zvmmf10591)  

This article is cited in 1 scientific paper (total in 1 paper)

Steady-state flow of an incompressible viscoelastic polymer fluid between two coaxial cylinders

A. M. Blokhinab, E. A. Kruglovaa, B. V. Semisalovac

a Novosibirsk State University, Novosibirsk, Russia
b Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
c Institute of Computational Technologies, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia

Abstract: A boundary value problem for a quasi-linear equation determining the velocity profile of a flow of a polymer fluid in a pipe formed by two coaxial cylinders is considered. On the basis of methods of approximation without saturation, a computational algorithm of increased accuracy is developed, making it possible to solve the problem in a wide range of parameters, including record-low values of $r_0$, the radius of the inner cylinder.

Key words: boundary value problem, quasi-linear equation, nonlocal algorithm without saturation, problem of steady-state flows of an incompressible fluid.

DOI: https://doi.org/10.7868/S0044466917070067

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English version:
Computational Mathematics and Mathematical Physics, 2017, 57:7, 1181–1193

Bibliographic databases:

UDC: 519.634
Received: 31.03.2016
Revised: 16.05.2016

Citation: A. M. Blokhin, E. A. Kruglova, B. V. Semisalov, “Steady-state flow of an incompressible viscoelastic polymer fluid between two coaxial cylinders”, Zh. Vychisl. Mat. Mat. Fiz., 57:7 (2017), 1184–1197; Comput. Math. Math. Phys., 57:7 (2017), 1181–1193

Citation in format AMSBIB
\Bibitem{BloKruSem17}
\by A.~M.~Blokhin, E.~A.~Kruglova, B.~V.~Semisalov
\paper Steady-state flow of an incompressible viscoelastic polymer fluid between two coaxial cylinders
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2017
\vol 57
\issue 7
\pages 1184--1197
\mathnet{http://mi.mathnet.ru/zvmmf10591}
\crossref{https://doi.org/10.7868/S0044466917070067}
\elib{http://elibrary.ru/item.asp?id=29404226}
\transl
\jour Comput. Math. Math. Phys.
\yr 2017
\vol 57
\issue 7
\pages 1181--1193
\crossref{https://doi.org/10.1134/S0965542517070053}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000406766300010}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85026830210}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. M. Blokhin, E. A. Kruglova, B. V. Semisalov, “Estimation of two error components in the numerical solution to the problem of nonisothermal flow of polymer fluid between two coaxial cylinders”, Comput. Math. Math. Phys., 58:7 (2018), 1099–1115  mathnet  crossref  crossref  isi  elib
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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