Sedimentation of a cylindrical particle along the axis of a cylindrical tube filled with Carreau fluid

Hsu, Jyh‐Ping; Chen, Wei-Jyh; Tseng, Shiojenn; Chen, Chur-Jen

doi:10.1016/j.powtec.2006.05.003

Cited by 7 publications

(8 citation statements)

References 13 publications

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“…The small size of these particles in relation to previous studies [22], with resulting high surface area to volume ratio and high number density, could further heighten the hindered settling effects in these systems. Indeed, it would be also expected that stable ZMCA particles would have a higher exponent as measured, due to the potential for them to orientate in a flat conformation, heightening the relative drag from their large aspect ratio, as discussed [11,23,27,28].…”

Section: Accepted M Manuscriptmentioning

confidence: 90%

“…that drag increases as shape becomes less spherical, especially for particles with high aspect ratio [23,26,59] and thus expected drag coefficients for ZM and ZMCA would be higher than for the spheroidal CPM, suggesting the Stokes equation may over estimate their respective settling velocities. For ZMCA in particular, drag may be significantly increased, especially if particles orientate towards a flat conformation of maximum drag resistance upon settling [11,27,28].…”

Section: Accepted M Manuscriptmentioning

confidence: 99%

“…Significant fundamental knowledge of settling dynamics, fluid drag and particle-fluid interactions can be extrapolated from changes in measured settling velocities, for a wide variety of systems from dilute free settling to highly hindered sedimentation [7][8][9], in both Newtonian and non-Newtonian fluids (e.g. [10][11][12]).…”

Section: Introductionmentioning

confidence: 99%

“…The role of particle shape on hindered settling exponents has been a focus of previous studies, where evidence would suggest that values increase as the particles become less spherical [22][23][24][25][26] due to the enhanced drag. For particles with large aspect ratio, orientation may also be an important factor, where research has shown that rod-like particles in particular may naturally orientate towards a flat conformation of maximum resistance upon settling [11,23,27,28].…”

Section: Introductionmentioning

confidence: 99%

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Influence of shape and surface charge on the sedimentation of spheroidal, cubic and rectangular cuboid particles

et al. 2017

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This study investigated the complex settling behaviour of colloidal particles with varied surface charge and shape factors, of specific relevance to nuclear waste processing. Caesium phosphomolybdate (CPM), zirconium molybdate (ZM) and zirconium citromolybdate (ZMCA) were firstly synthesised, producing spheroidal, cubic and rectangular cuboidal morphologies respectively, and compared to agglomerated titania. While zeta-potential measurements indicated all simulant particles attained low isoelectric points, surface group leaching rendered suspensions very acidic, with CPM around its IEP, and ZM/ZMCA stable and positively charged. In sedimentation tests at various concentrations in water and 2 M HNO3, CPM and titania were found to settle with extremely high hindered settling exponents, consistent with aggregated structures. Exponents for ZM and ZMCA in water were both also well above values for spherical particles; however, this was assumed to be due to heightened drag effects from relative shape factors, rather than aggregation. ZMCA in particular showed a very high exponent of ~11.4, due to the propensity for the rod-like particles to settle in a flat conformation. For ZM in acid, double layer compression from the high electrolyte aggregated the dispersions, correlating to a significant increase in the settling exponent. An extended Stokes relationship was additionally used to understand theoretical limits of shape and aggregation on particle size prediction from hindered settling curves. Importantly, calculated sizes were consistent for the stable ZM and ZMCA in water, despite their non-sphericity and enhanced drag. The relationship failed however with agglomerated suspensions, highlighting its application as a general stability test for sedimenting dispersions.

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Section: Accepted M Manuscriptmentioning

confidence: 90%

Section: Accepted M Manuscriptmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Influence of shape and surface charge on the sedimentation of spheroidal, cubic and rectangular cuboid particles

et al. 2017

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“…Similarly, the analogous body of information relating to the wall effects on a sphere falling at the axis of cylindrical tubes in quiescent power-law fluids, albeit neither as extensive nor as coherent as that for Newtonian fluids, has been reviewed recently. ,, Broadly speaking, shear-thinning behavior suppresses the severity of wall effects below that in Newtonian media at constant values of the Reynolds number and diameter ratio. At fixed values of Re and λ, the wall correction also diminishes with the decreasing value of the power-law index.…”

Section: Previous Workmentioning

confidence: 99%

Drag on a Sphere in Poiseuille Flow of Shear-Thinning Power-Law Fluids

Song

Gupta

Chhabra

2011

Ind. Eng. Chem. Res.

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The effect of finite boundaries on the drag experienced by a sphere exposed to the Poiseuille flow of power-law fluids in cylindrical vessels has been investigated numerically. In particular, the momentum equations have been solved over the following ranges of conditions: sphere Reynolds number based on the area average velocity in the pipe, Re 1-100; power law index, n: 0.2-1, and sphere-to-tube diameter ratio, λ: 0-0.5. Due to the obstruction in the path of the fluid caused by the sphere fixed at the axis of the tube and the corresponding changes in the velocity field close to the sphere, there is extra viscous dissipation at the walls and this, in turn, leads to an increase in the drag force acting on the sphere. Conversely, there is an extra pressure drop caused by the fixed sphere for the flow of the fluid in the tube. The effect, however, is more significant at low Reynolds numbers than that at high Reynolds numbers. Similarly, the additional drag due to the confining walls increases with the increasing degree of obstruction, i.e., sphere-to-tube diameter ratio. Overall, all else being equal, the wall effect is seen to be less severe in power-law fluids than that in Newtonian fluids. Furthermore, the confining walls also influence the onset of flow separation and subsequently the size of the recirculation region. The present numerical predictions are consistent with the scant experimental results available in the literature for Newtonian and power-law fluids.

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Thermo- and CO2-triggered viscosifying of aqueous copolymer solutions for gas channeling control during water-alternating-CO2 flooding

Luo

Zheng

Gao

et al. 2021

Fuel

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Sedimentation of a cylindrical particle along the axis of a cylindrical tube filled with Carreau fluid

Cited by 7 publications

References 13 publications

Influence of shape and surface charge on the sedimentation of spheroidal, cubic and rectangular cuboid particles

Influence of shape and surface charge on the sedimentation of spheroidal, cubic and rectangular cuboid particles

Drag on a Sphere in Poiseuille Flow of Shear-Thinning Power-Law Fluids

Thermo- and CO2-triggered viscosifying of aqueous copolymer solutions for gas channeling control during water-alternating-CO2 flooding

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