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Numerical analysis of the non-isothermal flow of polymeric liquid between two coaxial cylinders. / Blokhin, Alexander; Kruglova, Ekaterina; Semisalov, Boris.

In: WSEAS Transactions on Fluid Mechanics, Vol. 13, #4, 01.01.2018, p. 26-36.

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

Harvard

Blokhin, A, Kruglova, E & Semisalov, B 2018, 'Numerical analysis of the non-isothermal flow of polymeric liquid between two coaxial cylinders', WSEAS Transactions on Fluid Mechanics, vol. 13, #4, pp. 26-36.

APA

Blokhin, A., Kruglova, E., & Semisalov, B. (2018). Numerical analysis of the non-isothermal flow of polymeric liquid between two coaxial cylinders. WSEAS Transactions on Fluid Mechanics, 13, 26-36. [#4].

Vancouver

Blokhin A, Kruglova E, Semisalov B. Numerical analysis of the non-isothermal flow of polymeric liquid between two coaxial cylinders. WSEAS Transactions on Fluid Mechanics. 2018 Jan 1;13:26-36. #4.

Author

Blokhin, Alexander ; Kruglova, Ekaterina ; Semisalov, Boris. / Numerical analysis of the non-isothermal flow of polymeric liquid between two coaxial cylinders. In: WSEAS Transactions on Fluid Mechanics. 2018 ; Vol. 13. pp. 26-36.

BibTeX

@article{5acb6347eec44dbe8903e03ebc258060,
title = "Numerical analysis of the non-isothermal flow of polymeric liquid between two coaxial cylinders",
abstract = "Numerical simulation of the non-isothermal flow of viscoelastic polymeric liquid between two coaxial cylinders has been done on the basis of the rheological mesoscopic Pokrovskii-Vinogradov model. Boundary value problem for the nonlinear equation determining the velocity profile is posed. For solving it a pseudospectral numerical algorithm of increased accuracy based on Chebyshev approximations has been designed. The stationary numerical solutions of the posed problem are obtained for wide range of values of physical parameters and for record-low values of the radius r0 of inner cylinder. A posteriori estimates of the truncation and round-off errors of the algorithm has been derived. Numerical analysis of these errors depending on the number of grid nodes and on the values of radius r0 is also performed.",
keywords = "Algorithm without saturation, Chebyshev approximation, Pokrovskii-Vinorgadov model, Polymeric liquid, Pseudospectral method, Round-off error, Stabilization method, Truncation error",
author = "Alexander Blokhin and Ekaterina Kruglova and Boris Semisalov",
year = "2018",
month = jan,
day = "1",
language = "English",
volume = "13",
pages = "26--36",
journal = "WSEAS Transactions on Fluid Mechanics",
issn = "1790-5087",
publisher = "World Scientific and Engineering Academy and Society",

}

RIS

TY - JOUR

T1 - Numerical analysis of the non-isothermal flow of polymeric liquid between two coaxial cylinders

AU - Blokhin, Alexander

AU - Kruglova, Ekaterina

AU - Semisalov, Boris

PY - 2018/1/1

Y1 - 2018/1/1

N2 - Numerical simulation of the non-isothermal flow of viscoelastic polymeric liquid between two coaxial cylinders has been done on the basis of the rheological mesoscopic Pokrovskii-Vinogradov model. Boundary value problem for the nonlinear equation determining the velocity profile is posed. For solving it a pseudospectral numerical algorithm of increased accuracy based on Chebyshev approximations has been designed. The stationary numerical solutions of the posed problem are obtained for wide range of values of physical parameters and for record-low values of the radius r0 of inner cylinder. A posteriori estimates of the truncation and round-off errors of the algorithm has been derived. Numerical analysis of these errors depending on the number of grid nodes and on the values of radius r0 is also performed.

AB - Numerical simulation of the non-isothermal flow of viscoelastic polymeric liquid between two coaxial cylinders has been done on the basis of the rheological mesoscopic Pokrovskii-Vinogradov model. Boundary value problem for the nonlinear equation determining the velocity profile is posed. For solving it a pseudospectral numerical algorithm of increased accuracy based on Chebyshev approximations has been designed. The stationary numerical solutions of the posed problem are obtained for wide range of values of physical parameters and for record-low values of the radius r0 of inner cylinder. A posteriori estimates of the truncation and round-off errors of the algorithm has been derived. Numerical analysis of these errors depending on the number of grid nodes and on the values of radius r0 is also performed.

KW - Algorithm without saturation

KW - Chebyshev approximation

KW - Pokrovskii-Vinorgadov model

KW - Polymeric liquid

KW - Pseudospectral method

KW - Round-off error

KW - Stabilization method

KW - Truncation error

UR - http://www.scopus.com/inward/record.url?scp=85043465564&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85043465564

VL - 13

SP - 26

EP - 36

JO - WSEAS Transactions on Fluid Mechanics

JF - WSEAS Transactions on Fluid Mechanics

SN - 1790-5087

M1 - #4

ER -

ID: 10421085