Particle settling in a shear-thinning, viscoelastic fluid in the presence of wall effects

Abstract The settling of particles in fluids is a widespread phenomenon and commonly involves accounting for the effects of walls. Particle settling and wall effects are well understood for Newtonian fluids but the consequences of non-Newtonian fluid properties on particle settling are less well kno...

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Main Authors: Jodie Whorton, Thomas J. Jones, James K. Russell
Format: Article
Language:English
Published: Nature Portfolio 2025-02-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-025-87742-w
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author Jodie Whorton
Thomas J. Jones
James K. Russell
author_facet Jodie Whorton
Thomas J. Jones
James K. Russell
author_sort Jodie Whorton
collection DOAJ
description Abstract The settling of particles in fluids is a widespread phenomenon and commonly involves accounting for the effects of walls. Particle settling and wall effects are well understood for Newtonian fluids but the consequences of non-Newtonian fluid properties on particle settling are less well known. Here, we present the results from a set of experiments quantifying wall effects on particle settling within quiescent shear-thinning and viscoelastic (non-Newtonian) fluids for sphere-to-tube diameter ratios $$\lambda \le 0.3$$ λ ≤ 0.3 . We find that wall effects on particle settling are reduced in non-Newtonian fluids and settling velocities are poorly predicted by conventional wall-corrected Stokes’ equations. We show that deviations in settling velocity are due to both the shear-thinning and viscoelastic properties of the fluid. Supported by our experimental dataset, we are able to show that calculating the shear-rate based on the particle diameter length-scale corresponds to an apparent viscosity that appropriately accounts for shear-thinning effects. A further correction factor for viscoelastic behaviour based on $$\lambda$$ λ and the Weissenberg number, Wi, is applied, and shows good agreement with all experimentally measured velocities. Together, we provide a quantitative method to accurately predict the terminal settling velocity of particles in shear-thinning, viscoelastic fluids up to sphere-to-tube diameter ratios of 0.3.
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spelling doaj-art-c9b1b43306284ec9905079212379c8302025-02-09T12:36:14ZengNature PortfolioScientific Reports2045-23222025-02-0115111710.1038/s41598-025-87742-wParticle settling in a shear-thinning, viscoelastic fluid in the presence of wall effectsJodie Whorton0Thomas J. Jones1James K. Russell2Lancaster Environment Centre, Lancaster UniversityLancaster Environment Centre, Lancaster UniversityEarth, Ocean and Atmospheric Sciences, The University of British ColumbiaAbstract The settling of particles in fluids is a widespread phenomenon and commonly involves accounting for the effects of walls. Particle settling and wall effects are well understood for Newtonian fluids but the consequences of non-Newtonian fluid properties on particle settling are less well known. Here, we present the results from a set of experiments quantifying wall effects on particle settling within quiescent shear-thinning and viscoelastic (non-Newtonian) fluids for sphere-to-tube diameter ratios $$\lambda \le 0.3$$ λ ≤ 0.3 . We find that wall effects on particle settling are reduced in non-Newtonian fluids and settling velocities are poorly predicted by conventional wall-corrected Stokes’ equations. We show that deviations in settling velocity are due to both the shear-thinning and viscoelastic properties of the fluid. Supported by our experimental dataset, we are able to show that calculating the shear-rate based on the particle diameter length-scale corresponds to an apparent viscosity that appropriately accounts for shear-thinning effects. A further correction factor for viscoelastic behaviour based on $$\lambda$$ λ and the Weissenberg number, Wi, is applied, and shows good agreement with all experimentally measured velocities. Together, we provide a quantitative method to accurately predict the terminal settling velocity of particles in shear-thinning, viscoelastic fluids up to sphere-to-tube diameter ratios of 0.3.https://doi.org/10.1038/s41598-025-87742-w
spellingShingle Jodie Whorton
Thomas J. Jones
James K. Russell
Particle settling in a shear-thinning, viscoelastic fluid in the presence of wall effects
Scientific Reports
title Particle settling in a shear-thinning, viscoelastic fluid in the presence of wall effects
title_full Particle settling in a shear-thinning, viscoelastic fluid in the presence of wall effects
title_fullStr Particle settling in a shear-thinning, viscoelastic fluid in the presence of wall effects
title_full_unstemmed Particle settling in a shear-thinning, viscoelastic fluid in the presence of wall effects
title_short Particle settling in a shear-thinning, viscoelastic fluid in the presence of wall effects
title_sort particle settling in a shear thinning viscoelastic fluid in the presence of wall effects
url https://doi.org/10.1038/s41598-025-87742-w
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