Exact Solution for Viscoelastic Flow in Pipe and Experimental Validation
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 parametr...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-01-01
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| Series: | Polymers |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-4360/14/2/334 |
| _version_ | 1797490861666205696 |
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| author | Ekaterina Vachagina Nikolay Dushin Elvira Kutuzova Aidar Kadyirov |
| author_facet | Ekaterina Vachagina Nikolay Dushin Elvira Kutuzova Aidar Kadyirov |
| author_sort | Ekaterina Vachagina |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T00:39:07Z |
| format | Article |
| id | doaj.art-456176aa1e414e3486a4b72d7914870c |
| institution | Directory Open Access Journal |
| issn | 2073-4360 |
| language | English |
| last_indexed | 2024-03-10T00:39:07Z |
| publishDate | 2022-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Polymers |
| spelling | doaj.art-456176aa1e414e3486a4b72d7914870c2023-11-23T15:09:47ZengMDPI AGPolymers2073-43602022-01-0114233410.3390/polym14020334Exact Solution for Viscoelastic Flow in Pipe and Experimental ValidationEkaterina Vachagina0Nikolay Dushin1Elvira Kutuzova2Aidar Kadyirov3Institute of Power Engineering and Advanced Technologies, FRC Kazan Scientific Center, Russian Academy of Sciences, 420111 Kazan, RussiaInstitute of Power Engineering and Advanced Technologies, FRC Kazan Scientific Center, Russian Academy of Sciences, 420111 Kazan, RussiaInstitute of Power Engineering and Advanced Technologies, FRC Kazan Scientific Center, Russian Academy of Sciences, 420111 Kazan, RussiaInstitute of Power Engineering and Advanced Technologies, FRC Kazan Scientific Center, Russian Academy of Sciences, 420111 Kazan, RussiaThe 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.https://www.mdpi.com/2073-4360/14/2/334polymer solutionGiesekuseXtended Pom-Pomvisualizationanalytical solution |
| spellingShingle | Ekaterina Vachagina Nikolay Dushin Elvira Kutuzova Aidar Kadyirov Exact Solution for Viscoelastic Flow in Pipe and Experimental Validation Polymers polymer solution Giesekus eXtended Pom-Pom visualization analytical solution |
| title | Exact Solution for Viscoelastic Flow in Pipe and Experimental Validation |
| title_full | Exact Solution for Viscoelastic Flow in Pipe and Experimental Validation |
| title_fullStr | Exact Solution for Viscoelastic Flow in Pipe and Experimental Validation |
| title_full_unstemmed | Exact Solution for Viscoelastic Flow in Pipe and Experimental Validation |
| title_short | Exact Solution for Viscoelastic Flow in Pipe and Experimental Validation |
| title_sort | exact solution for viscoelastic flow in pipe and experimental validation |
| topic | polymer solution Giesekus eXtended Pom-Pom visualization analytical solution |
| url | https://www.mdpi.com/2073-4360/14/2/334 |
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