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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2023, Volume 20, Issue 2, Pages 1537–1551
DOI: https://doi.org/doi.org/10.33048/semi.2023.20.095 (Mi semr1658) 		 
Differentical equations, dynamical systems and optimal control

The exact solutions for the flow of liquid polymer with variable discharge in the flat channel with permeable walls

R. E. Semenkoab, G. N. Shukurovb

a Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
b Novosibrsk State University, Pirogova st., 1, 630090, Novosibirsk, Russia
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DOI: https://doi.org/doi.org/10.33048/semi.2023.20.095
Abstract: We have studied the problem of steady-state flow of viscoelastic liquid in the flat channel for the modified Vinogradov–Pokrovskii rheological model. It was shown that the problem has a set of solutions which could be calculated exactly. These type of solutions correspond to the flow with permeable walls and variable discharge along the flat channel. The solutions include the cases of constant and linear pressure gradient in the channel.
Keywords: Vinogradov–Pokrovskii rheological model, Poiseuille flow, steady-state solutions.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0008
The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project no. FWNF-2022-0008).
Received October 14, 2023, published December 28, 2023
Document Type: Article
UDC: 532.135
MSC: 76А10
Language: English
Citation: R. E. Semenko, G. N. Shukurov, “The exact solutions for the flow of liquid polymer with variable discharge in the flat channel with permeable walls”, Sib. Èlektron. Mat. Izv., 20:2 (2023), 1537–1551
Citation in format AMSBIB
\Bibitem{SemShu23}
\by R.~E.~Semenko, G.~N.~Shukurov
\paper The exact solutions for the flow of liquid polymer with variable discharge in the flat channel with permeable walls
\jour Sib. \`Elektron. Mat. Izv.
\yr 2023
\vol 20
\issue 2
\pages 1537--1551
\mathnet{http://mi.mathnet.ru/semr1658}
\crossref{https://doi.org/doi.org/10.33048/semi.2023.20.095}
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