Rotational Particle Separation in Solutions: Micropolar Fluid Theory Approach
We develop a new mathematical model for rotational sedimentation of particles for steady flows of a viscoplastic granular fluid in a concentric-cylinder Couette geometry when rotation of the Couette cell inner cylinder is prescribed. We treat the suspension as a micro-polar fluid. The model is valid...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-03-01
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| Series: | Polymers |
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| Online Access: | https://www.mdpi.com/2073-4360/13/7/1072 |
| _version_ | 1797539690585260032 |
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| author | Vladimir Shelukhin |
| author_facet | Vladimir Shelukhin |
| author_sort | Vladimir Shelukhin |
| collection | DOAJ |
| description | We develop a new mathematical model for rotational sedimentation of particles for steady flows of a viscoplastic granular fluid in a concentric-cylinder Couette geometry when rotation of the Couette cell inner cylinder is prescribed. We treat the suspension as a micro-polar fluid. The model is validated by comparison with known data of measurement. Within the proposed theory, we prove that sedimentation occurs due to particles’ rotation and rotational diffusion. |
| first_indexed | 2024-03-10T12:49:26Z |
| format | Article |
| id | doaj.art-81ec755453af45db8376542db23c9eb4 |
| institution | Directory Open Access Journal |
| issn | 2073-4360 |
| language | English |
| last_indexed | 2024-03-10T12:49:26Z |
| publishDate | 2021-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Polymers |
| spelling | doaj.art-81ec755453af45db8376542db23c9eb42023-11-21T13:14:03ZengMDPI AGPolymers2073-43602021-03-01137107210.3390/polym13071072Rotational Particle Separation in Solutions: Micropolar Fluid Theory ApproachVladimir Shelukhin0Lavrentyev Institute of Hydrodynamics, 630090 Novosibirsk, RussiaWe develop a new mathematical model for rotational sedimentation of particles for steady flows of a viscoplastic granular fluid in a concentric-cylinder Couette geometry when rotation of the Couette cell inner cylinder is prescribed. We treat the suspension as a micro-polar fluid. The model is validated by comparison with known data of measurement. Within the proposed theory, we prove that sedimentation occurs due to particles’ rotation and rotational diffusion.https://www.mdpi.com/2073-4360/13/7/1072suspensionsmicro-polar fluidsyield stress |
| spellingShingle | Vladimir Shelukhin Rotational Particle Separation in Solutions: Micropolar Fluid Theory Approach Polymers suspensions micro-polar fluids yield stress |
| title | Rotational Particle Separation in Solutions: Micropolar Fluid Theory Approach |
| title_full | Rotational Particle Separation in Solutions: Micropolar Fluid Theory Approach |
| title_fullStr | Rotational Particle Separation in Solutions: Micropolar Fluid Theory Approach |
| title_full_unstemmed | Rotational Particle Separation in Solutions: Micropolar Fluid Theory Approach |
| title_short | Rotational Particle Separation in Solutions: Micropolar Fluid Theory Approach |
| title_sort | rotational particle separation in solutions micropolar fluid theory approach |
| topic | suspensions micro-polar fluids yield stress |
| url | https://www.mdpi.com/2073-4360/13/7/1072 |
| work_keys_str_mv | AT vladimirshelukhin rotationalparticleseparationinsolutionsmicropolarfluidtheoryapproach |