Recursive Settling of Particles in Shear Thinning Polymer Solutions: Two Velocity Mathematical Model Full article
Journal |
Polymers
ISSN: 2073-4360 |
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Output data | Year: 2022, Volume: 14, Article number : 4241, Pages count : 17 DOI: 10.3390/polym14194241 | ||
Tags | suspensions; two-velocity continua; shear thinning fluid; recursive sedimentation; tilted vessel | ||
Authors |
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Affiliations |
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Funding (2)
1 | Российский научный фонд | 20-19-00058 |
2 | Министерство науки и высшего образования Российской Федерации | FWGG-2021-0002 |
Abstract:
Processing of the available experimental data on the particles settling in shear-thinning polymer solutions is performed. Conclusions imply that sedimentation should be recursive since settling also occurs within the sediment. To capture such an effect, a mathematical model of two continua has been developed, which corresponds to experimental data. The model is consistent with basic thermodynamics laws.
The rheological component of this model is a correlation formula for gravitational mobility. This closure is justified by comparison with known experimental data available for the particles settling in vertical vessels. In addition, the closure is validated by comparison with analytical solutions to the Kynch one-dimensional equation which governs dynamics of particles concentration. An explanation is given for the Boycott effect and it is proved that sedimentation is enhanced in a 2D inclined vessel. In tilted vessels, the flow is essentially two-dimensional and the one-dimensional Kynch theory is not applicable; vortices play an important role in sedimentation.
Cite:
Neverov V.
, Shelukhin V.
Recursive Settling of Particles in Shear Thinning Polymer Solutions: Two Velocity Mathematical Model
Polymers. 2022. V.14. 4241 :1-17. DOI: 10.3390/polym14194241 WOS Scopus РИНЦ OpenAlex
Recursive Settling of Particles in Shear Thinning Polymer Solutions: Two Velocity Mathematical Model
Polymers. 2022. V.14. 4241 :1-17. DOI: 10.3390/polym14194241 WOS Scopus РИНЦ OpenAlex
Dates:
Submitted: | Aug 29, 2022 |
Accepted: | Sep 26, 2022 |
Published online: | Oct 10, 2022 |
Identifiers:
Web of science: | WOS:000867064400001 |
Scopus: | 2-s2.0-85139950428 |
Elibrary: | 56777917 |
OpenAlex: | W4304166095 |
Citing:
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