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Exact Poiseuil-type solutions for viscoelastic polymer fluid flows through a circular pipe. / Semisalov, B. V.

In: Journal of Applied Mechanics and Technical Physics, Vol. 64, No. 4, 08.2023, p. 675-685.

Research output: Contribution to journal › Article › peer-review

Harvard

Semisalov, BV 2023, 'Exact Poiseuil-type solutions for viscoelastic polymer fluid flows through a circular pipe', Journal of Applied Mechanics and Technical Physics, vol. 64, no. 4, pp. 675-685. https://doi.org/10.1134/S0021894423040132

APA

Semisalov, B. V. (2023). Exact Poiseuil-type solutions for viscoelastic polymer fluid flows through a circular pipe. Journal of Applied Mechanics and Technical Physics, 64(4), 675-685. https://doi.org/10.1134/S0021894423040132

Vancouver

Semisalov BV. Exact Poiseuil-type solutions for viscoelastic polymer fluid flows through a circular pipe. Journal of Applied Mechanics and Technical Physics. 2023 Aug;64(4):675-685. doi: 10.1134/S0021894423040132

Author

Semisalov, B. V. / Exact Poiseuil-type solutions for viscoelastic polymer fluid flows through a circular pipe. In: Journal of Applied Mechanics and Technical Physics. 2023 ; Vol. 64, No. 4. pp. 675-685.

BibTeX

@article{0fdae8226ebb4c3a817a01df3ea72145,
title = "Exact Poiseuil-type solutions for viscoelastic polymer fluid flows through a circular pipe",
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.",
keywords = "Poiseuille- type flow, circular pipe, exact solution, mesoscopic model, polymer fluid, singular points",
author = "Semisalov, {B. V.}",
note = "This work was carried out within the framework of the state contract of the Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences (Project No. FWNF-2022-0008). Публикация для корректировки.",
year = "2023",
month = aug,
doi = "10.1134/S0021894423040132",
language = "English",
volume = "64",
pages = "675--685",
journal = "Journal of Applied Mechanics and Technical Physics",
issn = "0021-8944",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "4",

}

RIS

TY - JOUR

T1 - Exact Poiseuil-type solutions for viscoelastic polymer fluid flows through a circular pipe

AU - Semisalov, B. V.

N1 - This work was carried out within the framework of the state contract of the Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences (Project No. FWNF-2022-0008). Публикация для корректировки.

PY - 2023/8

Y1 - 2023/8

N2 - 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.

AB - 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.

KW - Poiseuille- type flow

KW - circular pipe

KW - exact solution

KW - mesoscopic model

KW - polymer fluid

KW - singular points

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85174817264&origin=inward&txGid=de16816be7261eb6c25f59659d5ef27d

UR - https://www.mendeley.com/catalogue/7bde6873-c057-3483-b180-dc4f4503ad40/

U2 - 10.1134/S0021894423040132

DO - 10.1134/S0021894423040132

M3 - Article

VL - 64

SP - 675

EP - 685

JO - Journal of Applied Mechanics and Technical Physics

JF - Journal of Applied Mechanics and Technical Physics

SN - 0021-8944

IS - 4

ER -

ID: 59554844