The Hindered Settling Velocity of Particles of Any Shape in Low Reynolds Number Flow
This article takes insights from a previously derived mathematical framework for the free settling velocity of particles of any shape to model analytical constructs to solve the hindered settling velocity of hard particles of any shape. Because the geometry of the physical environment and continuity...
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Format: | Article |
Language: | English |
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MDPI AG
2023-01-01
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Series: | Fluids |
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Online Access: | https://www.mdpi.com/2311-5521/8/1/21 |
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author | Yuri Mendez |
author_facet | Yuri Mendez |
author_sort | Yuri Mendez |
collection | DOAJ |
description | This article takes insights from a previously derived mathematical framework for the free settling velocity of particles of any shape to model analytical constructs to solve the hindered settling velocity of hard particles of any shape. Because the geometry of the physical environment and continuity can be strictly enforced in the construct model, the relative velocity of the fluid front pumped upward by the settling particles can be found, thus allowing for calculation by subtracting the front velocity from the calculated velocity. |
first_indexed | 2024-03-09T12:45:22Z |
format | Article |
id | doaj.art-e7fc7bca486145fd8c57bc5280bd3f0c |
institution | Directory Open Access Journal |
issn | 2311-5521 |
language | English |
last_indexed | 2024-03-09T12:45:22Z |
publishDate | 2023-01-01 |
publisher | MDPI AG |
record_format | Article |
series | Fluids |
spelling | doaj.art-e7fc7bca486145fd8c57bc5280bd3f0c2023-11-30T22:13:03ZengMDPI AGFluids2311-55212023-01-01812110.3390/fluids8010021The Hindered Settling Velocity of Particles of Any Shape in Low Reynolds Number FlowYuri Mendez0Dynamic Fins Ltd., RPO Beechwood, P.O. Box 74087, Ottawa, ON K1M 2H9, CanadaThis article takes insights from a previously derived mathematical framework for the free settling velocity of particles of any shape to model analytical constructs to solve the hindered settling velocity of hard particles of any shape. Because the geometry of the physical environment and continuity can be strictly enforced in the construct model, the relative velocity of the fluid front pumped upward by the settling particles can be found, thus allowing for calculation by subtracting the front velocity from the calculated velocity.https://www.mdpi.com/2311-5521/8/1/21nonspherical particlehindered settlingcreeping flowanalytical solution |
spellingShingle | Yuri Mendez The Hindered Settling Velocity of Particles of Any Shape in Low Reynolds Number Flow Fluids nonspherical particle hindered settling creeping flow analytical solution |
title | The Hindered Settling Velocity of Particles of Any Shape in Low Reynolds Number Flow |
title_full | The Hindered Settling Velocity of Particles of Any Shape in Low Reynolds Number Flow |
title_fullStr | The Hindered Settling Velocity of Particles of Any Shape in Low Reynolds Number Flow |
title_full_unstemmed | The Hindered Settling Velocity of Particles of Any Shape in Low Reynolds Number Flow |
title_short | The Hindered Settling Velocity of Particles of Any Shape in Low Reynolds Number Flow |
title_sort | hindered settling velocity of particles of any shape in low reynolds number flow |
topic | nonspherical particle hindered settling creeping flow analytical solution |
url | https://www.mdpi.com/2311-5521/8/1/21 |
work_keys_str_mv | AT yurimendez thehinderedsettlingvelocityofparticlesofanyshapeinlowreynoldsnumberflow AT yurimendez hinderedsettlingvelocityofparticlesofanyshapeinlowreynoldsnumberflow |