Numerical simulation of a stabilizing Poiseuille-type polymer fluid flow in the channel with elliptical cross-section

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Numerical simulation of a stabilizing Poiseuille-type polymer fluid flow in the channel with elliptical cross-section. / Blokhin, A.; Semisalov, B.

In: Journal of Physics: Conference Series, Vol. 2099, No. 1, 012014, 13.12.2021.

Research output: Contribution to journal › Conference article › peer-review

BibTeX

@article{e1b40adfcc54400b9efcd6a816eba33b,

title = "Numerical simulation of a stabilizing Poiseuille-type polymer fluid flow in the channel with elliptical cross-section",

abstract = "This work is devoted to the numerical analysis of stabilization of the incompressible viscoelastic polymer fluid flow in the channel with elliptical cross-section. To describe the flow, mesoscopic rheological relations are used, and resolving non-stationary equations are derived. For solving them a special pseudo-spectral method is developed and implemented. As time increases, under certain conditions on the parameters of flow the solution to the nonstationary problem stabilizes and converges to the one of three branches of the solution to the corresponding stationary problem. It is shown that the variation of the parameters describing polymer microstructure leads to the switch of stabilized solution between these branches. The work provides the results of simulation of the flow stabilization and the analysis of the threshold values of parameters at which the switching occurs.",

author = "A. Blokhin and B. Semisalov",

note = "Funding Information: This work has been done under the financial (AGREEMENT No 20-11-20036). Publisher Copyright: {\textcopyright} 2021 Institute of Physics Publishing. All rights reserved.; International Conference on Marchuk Scientific Readings 2021, MSR 2021 ; Conference date: 04-10-2021 Through 08-10-2021",

year = "2021",

month = dec,

day = "13",

doi = "10.1088/1742-6596/2099/1/012014",

language = "English",

volume = "2099",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

}

RIS

TY - JOUR

T1 - Numerical simulation of a stabilizing Poiseuille-type polymer fluid flow in the channel with elliptical cross-section

AU - Blokhin, A.

AU - Semisalov, B.

PY - 2021/12/13

Y1 - 2021/12/13

N2 - This work is devoted to the numerical analysis of stabilization of the incompressible viscoelastic polymer fluid flow in the channel with elliptical cross-section. To describe the flow, mesoscopic rheological relations are used, and resolving non-stationary equations are derived. For solving them a special pseudo-spectral method is developed and implemented. As time increases, under certain conditions on the parameters of flow the solution to the nonstationary problem stabilizes and converges to the one of three branches of the solution to the corresponding stationary problem. It is shown that the variation of the parameters describing polymer microstructure leads to the switch of stabilized solution between these branches. The work provides the results of simulation of the flow stabilization and the analysis of the threshold values of parameters at which the switching occurs.

AB - This work is devoted to the numerical analysis of stabilization of the incompressible viscoelastic polymer fluid flow in the channel with elliptical cross-section. To describe the flow, mesoscopic rheological relations are used, and resolving non-stationary equations are derived. For solving them a special pseudo-spectral method is developed and implemented. As time increases, under certain conditions on the parameters of flow the solution to the nonstationary problem stabilizes and converges to the one of three branches of the solution to the corresponding stationary problem. It is shown that the variation of the parameters describing polymer microstructure leads to the switch of stabilized solution between these branches. The work provides the results of simulation of the flow stabilization and the analysis of the threshold values of parameters at which the switching occurs.

UR - http://www.scopus.com/inward/record.url?scp=85123702751&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/2099/1/012014

DO - 10.1088/1742-6596/2099/1/012014

M3 - Conference article

AN - SCOPUS:85123702751

VL - 2099

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012014

T2 - International Conference on Marchuk Scientific Readings 2021, MSR 2021

Y2 - 4 October 2021 through 8 October 2021

ER -

ID: 35378532