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Parametric Method for Solving the Problem of Multimode Viscoelastic Fluid Flow in a Circular Pipe

Parametric Method for Solving the Problem of Multimode Viscoelastic Fluid Flow in a Circular Pipe The parametric solution to the problem of flow of multimode viscoelastic fluids with the Giesekus and Phan-Thien–Tanner models in a circular pipe is given in the case of laminar isothermal steady-state flow regimes at moderate and high Weissenberg numbers. The distributions of the axial velocity and the normal stresses are presented. In addition, the distributions of the first normal stress coefficients for flow of the low-density polyethylene (DSM Stamylan LD 2008 XC43) and a 0.25% aqueous polyacrylamide solution are analyzed. The experimental and calculated data are in the adequate agreement for both (Giesekus and Phan-Thien–Tanner) rheological models. A particular case of the Giesekus viscoelastic fluid flow with the rheological model parameter in the interval (0.5, 1) is considered. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Fluid Dynamics Springer Journals

Parametric Method for Solving the Problem of Multimode Viscoelastic Fluid Flow in a Circular Pipe

Fluid Dynamics , Volume 57 (2) – Apr 1, 2022

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References (24)

Publisher
Springer Journals
Copyright
Copyright © Pleiades Publishing, Ltd. 2022. ISSN 0015-4628, Fluid Dynamics, 2022, Vol. 57, No. 2, pp. 135–145. © Pleiades Publishing, Ltd., 2022. Russian Text © The Author(s), 2022, published in Izvestiya RAN. Mekhanika Zhidkosti i Gaza, 2022, Vol. 57, No. 2, pp. 27–37.
ISSN
0015-4628
eISSN
1573-8507
DOI
10.1134/s0015462822020112
Publisher site
See Article on Publisher Site

Abstract

The parametric solution to the problem of flow of multimode viscoelastic fluids with the Giesekus and Phan-Thien–Tanner models in a circular pipe is given in the case of laminar isothermal steady-state flow regimes at moderate and high Weissenberg numbers. The distributions of the axial velocity and the normal stresses are presented. In addition, the distributions of the first normal stress coefficients for flow of the low-density polyethylene (DSM Stamylan LD 2008 XC43) and a 0.25% aqueous polyacrylamide solution are analyzed. The experimental and calculated data are in the adequate agreement for both (Giesekus and Phan-Thien–Tanner) rheological models. A particular case of the Giesekus viscoelastic fluid flow with the rheological model parameter in the interval (0.5, 1) is considered.

Journal

Fluid DynamicsSpringer Journals

Published: Apr 1, 2022

Keywords: viscoelastic fluid; Giesekus; Phan-Thien–Tanner; method of solution; velocity profile; normal stresses

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