Search for stationary poiseuille flows for an incompressible polymer fluid in channels with perforated walls

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Search for stationary poiseuille flows for an incompressible polymer fluid in channels with perforated walls. / Blokhin, A. M.; Semenko, R. E.

In: Journal of Applied Mechanics and Technical Physics, Vol. 63, No. 1, 02.2022, p. 26-33.

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

BibTeX

@article{7f2c882d63b34ea1bb115dded77a4a81,

title = "Search for stationary poiseuille flows for an incompressible polymer fluid in channels with perforated walls",

abstract = "The problem of the flow of a viscoelastic fluid in a flat channel with permeable walls and a constant flow through the walls is considered. The problem is formulated using the equations of the modified Vinogradov–Pokrovskii mesoscopic model. For the case of the presence of a flow through the walls, a method for setting the boundary conditions is proposed, which ensures that the resulting solution is consistent with the solutions obtained with no account for the flow. A computational algorithm for finding solutions is considered both in the presence and absence of flow through the walls.",

keywords = "Poiseuille flow, stationary solutions, viscoelastic fluid",

author = "Blokhin, {A. M.} and Semenko, {R. E.}",

note = "Funding Information: The work was carried out within the framework of the state task of the Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences (Grant No. 0314-2019-0013). Publisher Copyright: {\textcopyright} 2022, Pleiades Publishing, Ltd.",

year = "2022",

month = feb,

doi = "10.1134/S0021894422010059",

language = "English",

volume = "63",

pages = "26--33",

journal = "Journal of Applied Mechanics and Technical Physics",

issn = "0021-8944",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "1",

}

RIS

TY - JOUR

T1 - Search for stationary poiseuille flows for an incompressible polymer fluid in channels with perforated walls

AU - Blokhin, A. M.

AU - Semenko, R. E.

N1 - Funding Information: The work was carried out within the framework of the state task of the Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences (Grant No. 0314-2019-0013). Publisher Copyright: © 2022, Pleiades Publishing, Ltd.

PY - 2022/2

Y1 - 2022/2

N2 - The problem of the flow of a viscoelastic fluid in a flat channel with permeable walls and a constant flow through the walls is considered. The problem is formulated using the equations of the modified Vinogradov–Pokrovskii mesoscopic model. For the case of the presence of a flow through the walls, a method for setting the boundary conditions is proposed, which ensures that the resulting solution is consistent with the solutions obtained with no account for the flow. A computational algorithm for finding solutions is considered both in the presence and absence of flow through the walls.

AB - The problem of the flow of a viscoelastic fluid in a flat channel with permeable walls and a constant flow through the walls is considered. The problem is formulated using the equations of the modified Vinogradov–Pokrovskii mesoscopic model. For the case of the presence of a flow through the walls, a method for setting the boundary conditions is proposed, which ensures that the resulting solution is consistent with the solutions obtained with no account for the flow. A computational algorithm for finding solutions is considered both in the presence and absence of flow through the walls.

KW - Poiseuille flow

KW - stationary solutions

KW - viscoelastic fluid

UR - http://www.scopus.com/inward/record.url?scp=85128290052&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/46151891-e351-35a1-8d0f-0c4b4599d715/

U2 - 10.1134/S0021894422010059

DO - 10.1134/S0021894422010059

M3 - Article

AN - SCOPUS:85128290052

VL - 63

SP - 26

EP - 33

JO - Journal of Applied Mechanics and Technical Physics

JF - Journal of Applied Mechanics and Technical Physics

SN - 0021-8944

IS - 1

ER -

ID: 35957097