Flows of Dense Suspensions of Polymer Particles through Oblique Bifurcating Channels: Two Continua Approach
A two-velocity mathematical model is proposed for dense suspension flows through channel bifurcations. Equations agree with thermodynamic laws and they are suitable for both heavy and light particles. The pulsatile mode of injection of particles is considered. In the 2D-case, we address the issue of...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Polymers |
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| Online Access: | https://www.mdpi.com/2073-4360/14/18/3880 |
| _version_ | 1797483283600113664 |
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| author | Vladimir Shelukhin Andrey Antonov |
| author_facet | Vladimir Shelukhin Andrey Antonov |
| author_sort | Vladimir Shelukhin |
| collection | DOAJ |
| description | A two-velocity mathematical model is proposed for dense suspension flows through channel bifurcations. Equations agree with thermodynamic laws and they are suitable for both heavy and light particles. The pulsatile mode of injection of particles is considered. In the 2D-case, we address the issue of partitioning particles and study how a loss of particles into the side branch depends on the bifurcation angle. A qualitative agreement with experiment data are established. We capture the Zweifach–Fung effect. We treat polymer particles as a phase enjoying the rheology of the Bingham viscoplastic material. We prove that the polymer particle distribution between two branches correlates with the averaged-in-time Bingham number in these branches. |
| first_indexed | 2024-03-09T22:44:46Z |
| format | Article |
| id | doaj.art-aa89fa227f9b4f85a1ff23138b670a55 |
| institution | Directory Open Access Journal |
| issn | 2073-4360 |
| language | English |
| last_indexed | 2024-03-09T22:44:46Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Polymers |
| spelling | doaj.art-aa89fa227f9b4f85a1ff23138b670a552023-11-23T18:31:27ZengMDPI AGPolymers2073-43602022-09-011418388010.3390/polym14183880Flows of Dense Suspensions of Polymer Particles through Oblique Bifurcating Channels: Two Continua ApproachVladimir Shelukhin0Andrey Antonov1Lavrentyev Institute of Hydrodynamics, 630090 Novosibirsk, RussiaLavrentyev Institute of Hydrodynamics, 630090 Novosibirsk, RussiaA two-velocity mathematical model is proposed for dense suspension flows through channel bifurcations. Equations agree with thermodynamic laws and they are suitable for both heavy and light particles. The pulsatile mode of injection of particles is considered. In the 2D-case, we address the issue of partitioning particles and study how a loss of particles into the side branch depends on the bifurcation angle. A qualitative agreement with experiment data are established. We capture the Zweifach–Fung effect. We treat polymer particles as a phase enjoying the rheology of the Bingham viscoplastic material. We prove that the polymer particle distribution between two branches correlates with the averaged-in-time Bingham number in these branches.https://www.mdpi.com/2073-4360/14/18/3880suspensionstwo-velocity continuabifurcating channelpartitioning of particlesnon-Newtonian rheologypulsatile injection |
| spellingShingle | Vladimir Shelukhin Andrey Antonov Flows of Dense Suspensions of Polymer Particles through Oblique Bifurcating Channels: Two Continua Approach Polymers suspensions two-velocity continua bifurcating channel partitioning of particles non-Newtonian rheology pulsatile injection |
| title | Flows of Dense Suspensions of Polymer Particles through Oblique Bifurcating Channels: Two Continua Approach |
| title_full | Flows of Dense Suspensions of Polymer Particles through Oblique Bifurcating Channels: Two Continua Approach |
| title_fullStr | Flows of Dense Suspensions of Polymer Particles through Oblique Bifurcating Channels: Two Continua Approach |
| title_full_unstemmed | Flows of Dense Suspensions of Polymer Particles through Oblique Bifurcating Channels: Two Continua Approach |
| title_short | Flows of Dense Suspensions of Polymer Particles through Oblique Bifurcating Channels: Two Continua Approach |
| title_sort | flows of dense suspensions of polymer particles through oblique bifurcating channels two continua approach |
| topic | suspensions two-velocity continua bifurcating channel partitioning of particles non-Newtonian rheology pulsatile injection |
| url | https://www.mdpi.com/2073-4360/14/18/3880 |
| work_keys_str_mv | AT vladimirshelukhin flowsofdensesuspensionsofpolymerparticlesthroughobliquebifurcatingchannelstwocontinuaapproach AT andreyantonov flowsofdensesuspensionsofpolymerparticlesthroughobliquebifurcatingchannelstwocontinuaapproach |