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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2023, Volume 64, Issue 4, Pages 139–151
DOI: https://doi.org/10.15372/PMTF202315255 (Mi pmtf1681) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Exact Poiseuil-type solutions for flows of viscoelastic polymer fluid through a circular pipe

B. V. Semisalovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk National Research State University, Novosibirsk, Russia
Full-text PDF (283 kB) First page Citations (2)
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DOI: https://doi.org/10.15372/PMTF202315255
Abstract: Resolving equations describing stationary flows of an incompressible viscoelastic polymer fluid through a circular pipe are derived on the basis of the rheological mesoscopic Pokrovskii–Vinogradov model. Exact solutions of the equations are obtained, and restrictions on the values of the rheological parameters that ensure their existence are formulated. These results enable one to constructively describe the destruction of Poiseuille-type laminar flow. The size and orientation of the macromolecules of the polymer fluid play a key role in the mechanics of this process. liquids. The mathematical description of the process uses the singular points of the solutions.
Keywords: polymer fluid, mesoscopic model, circular pipe, Poiseuille-type flow, exact solution, singular points.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0008
Received: 06.02.2023
Revised: 15.03.2023
Accepted: 27.03.2023
English version:
Journal of Applied Mechanics and Technical Physics, 2023, Volume 64, Issue 4, Pages 675–685
DOI: https://doi.org/10.1134/S0021894423040132
Bibliographic databases:
Document Type: Article
UDC: 532.135
Language: Russian
Citation: B. V. Semisalov, “Exact Poiseuil-type solutions for flows of viscoelastic polymer fluid through a circular pipe”, Prikl. Mekh. Tekh. Fiz., 64:4 (2023), 139–151; J. Appl. Mech. Tech. Phys., 64:4 (2023), 675–685
Citation in format AMSBIB
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\by B.~V.~Semisalov
\paper Exact Poiseuil-type solutions for flows of viscoelastic polymer fluid through a circular pipe
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2023
\vol 64
\issue 4
\pages 139--151
\mathnet{http://mi.mathnet.ru/pmtf1681}
\crossref{https://doi.org/10.15372/PMTF202315255}
\elib{https://elibrary.ru/item.asp?id=54283719}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2023
\vol 64
\issue 4
\pages 675--685
\crossref{https://doi.org/10.1134/S0021894423040132}
Linking options:
  • https://www.mathnet.ru/eng/pmtf1681
  • https://www.mathnet.ru/eng/pmtf/v64/i4/p139
    • This publication is cited in the following 2 articles:
    1. 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  crossref
    2. S. N. Antontsev, I. V. Kuznetsov, S. A. Sazhenkov, “Impulsnye uravneniya Kelvina–Foigta dinamiki neszhimaemoi vyazkouprugoi zhidkosti”, Prikl. mekh. tekhn. fiz., 65:5 (2024), 28–42  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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    Abstract page:78
    References:24
    First page:12
     
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