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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Main Author: Yuri Mendez
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Fluids
Subjects:
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
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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.
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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
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