Exact Poiseuil-type solutions for viscoelastic polymer fluid flows through a circular pipe Full article
| Journal |
Journal of Applied Mechanics and Technical Physics
ISSN: 0021-8944 |
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| Output data | Year: 2023, Volume: 64, Number: 4, Pages: 675-685 Pages count : 11 DOI: 10.1134/s0021894423040132 | ||||
| Tags | polymer fluid, mesoscopic model, circular pipe, Poiseuille- type flow, exact solution, singular points | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0008 |
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 constraints on the values of rheological parameters that ensure their existence are formulated. These results enable one to constructively describe the breakdown of Poiseuille-type laminar flow. The size and orientation of polymer fluid macromolecules play a key role in the mechanics of this process. The mathematical description of the process uses singular points of the solutions.
Cite:
Semisalov B.V.
Exact Poiseuil-type solutions for viscoelastic polymer fluid flows through a circular pipe
Journal of Applied Mechanics and Technical Physics. 2023. V.64. N4. P.675-685. DOI: 10.1134/s0021894423040132 WOS Scopus РИНЦ OpenAlex
Exact Poiseuil-type solutions for viscoelastic polymer fluid flows through a circular pipe
Journal of Applied Mechanics and Technical Physics. 2023. V.64. N4. P.675-685. DOI: 10.1134/s0021894423040132 WOS Scopus РИНЦ OpenAlex
Original:
Семисалов Б.В.
О точных решениях типа Пуазейля для течений вязкоупругой полимерной жидкости в цилиндрическом канале
Прикладная механика и техническая физика. 2023. Т.64. №4. С.139-151. DOI: 10.15372/pmtf202315255 РИНЦ OpenAlex
О точных решениях типа Пуазейля для течений вязкоупругой полимерной жидкости в цилиндрическом канале
Прикладная механика и техническая физика. 2023. Т.64. №4. С.139-151. DOI: 10.15372/pmtf202315255 РИНЦ OpenAlex
Dates:
| Submitted: | Feb 6, 2023 |
| Accepted: | Mar 27, 2023 |
| Published print: | Oct 26, 2023 |
| Published online: | Oct 26, 2023 |
Identifiers:
| Web of science: | WOS:001088066000013 |
| Scopus: | 2-s2.0-85174817264 |
| Elibrary: | 63688577 |
| OpenAlex: | W4387960220 |