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Article

Exact Solution for Viscoelastic Flow in Pipe and Experimental Validation

Institute of Power Engineering and Advanced Technologies, FRC Kazan Scientific Center, Russian Academy of Sciences, 420111 Kazan, Russia
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Author to whom correspondence should be addressed.
Academic Editors: Célio Bruno Pinto Fernandes, Salah Aldin Faroughi, Luís L. Ferrás and Alexandre M. Afonso
Polymers 2022, 14(2), 334; https://doi.org/10.3390/polym14020334
Received: 10 December 2021 / Revised: 9 January 2022 / Accepted: 12 January 2022 / Published: 15 January 2022
(This article belongs to the Special Issue Advanced Polymer Simulation and Processing)
The development of analytical methods for viscoelastic fluid flows is challenging. Currently, this problem has been solved for particular cases of multimode differential rheological equations of media state (Giesekus, the exponential form of Phan-Tien-Tanner, eXtended Pom-Pom). We propose a parametric method that yields solutions without additional assumptions. The method is based on the parametric representation of the unknown velocity functions and the stress tensor components as a function of coordinate. Experimental flow visualization based on the SIV (smoke image velocimetry) method was carried out to confirm the obtained results. Compared to the Giesekus model, the experimental data are best predicted by the eXtended Pom-Pom model. View Full-Text
Keywords: polymer solution; Giesekus; eXtended Pom-Pom; visualization; analytical solution polymer solution; Giesekus; eXtended Pom-Pom; visualization; analytical solution
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MDPI and ACS Style

Vachagina, E.; Dushin, N.; Kutuzova, E.; Kadyirov, A. Exact Solution for Viscoelastic Flow in Pipe and Experimental Validation. Polymers 2022, 14, 334. https://doi.org/10.3390/polym14020334

AMA Style

Vachagina E, Dushin N, Kutuzova E, Kadyirov A. Exact Solution for Viscoelastic Flow in Pipe and Experimental Validation. Polymers. 2022; 14(2):334. https://doi.org/10.3390/polym14020334

Chicago/Turabian Style

Vachagina, Ekaterina, Nikolay Dushin, Elvira Kutuzova, and Aidar Kadyirov. 2022. "Exact Solution for Viscoelastic Flow in Pipe and Experimental Validation" Polymers 14, no. 2: 334. https://doi.org/10.3390/polym14020334

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