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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 7, Pages 1184–1197
DOI: https://doi.org/10.7868/S0044466917070067 (Mi zvmmf10591) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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
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DOI: https://doi.org/10.7868/S0044466917070067
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.
Received: 31.03.2016
Revised: 16.05.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 7, Pages 1181–1193
DOI: https://doi.org/10.1134/S0965542517070053
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
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
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    • This publication is cited in the following 2 articles:
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