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

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Sibirskii Zhurnal Industrial'noi Matematiki, 2014, Volume 17, Number 4, Pages 38–47 (Mi sjim857)

This article is cited in 10 scientific papers (total in 10 papers)

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

A. M. Blokhin^ab, B. V. Semisalov^c

^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 (10)

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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

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

\jour Sib. Zh. Ind. Mat.

\yr 2014

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\pages 38--47

\mathnet{http://mi.mathnet.ru/sjim857}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3364391}

\transl

\jour J. Appl. Industr. Math.

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\pages 18--26

\crossref{https://doi.org/10.1134/S1990478915010032}

Linking options:

https://www.mathnet.ru/eng/sjim857

https://www.mathnet.ru/eng/sjim/v17/i4/p38

This publication is cited in the following 10 articles:

B. V. Semisalov, I. A. Bugoets, L. I. Kutkin, V. P. Shapeev, “Numerical Analysis of Stability Loss for Poiseuille-Type Polymer Fluid Flows under the Pulsed Effect of Pressure and Temperature”, Comput. Math. and Math. Phys., 65:2 (2025), 383
L. S. Bryndin, B. V. Semisalov, V. A. Beliaev, V. P. Shapeev, “Numerical Analysis of the Blow-Up of One-Dimensional Polymer Fluid Flow with a Front”, Comput. Math. and Math. Phys., 64:1 (2024), 151
B. V. Semisalov, “Exact Poiseuil-type solutions for flows of viscoelastic polymer fluid through a circular pipe”, J. Appl. Mech. Tech. Phys., 64:4 (2023), 675–685
A. M. Blokhin, R. E. Semenko, “Search for stationary Poiseuille flows for an incompressible polymer fluid in channels with perforated walls”, J. Appl. Mech. Tech. Phys., 63:1 (2022), 26–63
A. M. Blokhin, B. V. Semisalov, “Finding steady Poiseuille-type flows for incompressible polymeric fluids by the relaxation method”, Comput. Math. Math. Phys., 62:2 (2022), 302–315
Boris Semisalov, Vasily Belyaev, Luka Bryndin, Arsenii Gorynin, Alexander Blokhin, Sergey Golushko, Vasily Shapeev, “Verified simulation of the stationary polymer fluid flows in the channel with elliptical cross-section”, Applied Mathematics and Computation, 430 (2022), 127294
A Blokhin, B Semisalov, “Numerical simulation of a stabilizing Poiseuille-type polymer fluid flow in the channel with elliptical cross-section”, J. Phys.: Conf. Ser., 2099:1 (2021), 012014
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
A. M. Blokhin, E. A. Kruglova, B. V. Semisalov, “Steady-state flow of an incompressible viscoelastic polymer fluid between two coaxial cylinders”, Comput. Math. Math. Phys., 57:7 (2017), 1181–1193
A. M. Blokhin, B. V. Semisalov, A. S. Shevchenko, “Statsionarnye resheniya uravnenii, opisyvayuschikh neizotermicheskie techeniya neszhimaemoi vyazkouprugoi polimernoi zhidkosti”, Matem. modelirovanie, 28:10 (2016), 3–22

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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