Force–velocity relationships for rigid bodies translating through unbounded shear-thinning power-law fluids

Whitney, Matthew J.; Rodin, Gregory J.

doi:10.1016/s0020-7462(00)00059-7

Cited by 41 publications

(36 citation statements)

References 8 publications

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“…In contrast to shear-thinning fluids which are highly non-linear, the shear-thickening fluids with a high n tend to become linear with very small viscosity [9]. Extending the above argument of Whitney and Rodin [8], we expect that at shear-thickening fluids the drag coefficient will not be sensitive to the geometrical details of the body and this argument is supported by the present results. is clear from Table 1, a theoretical proof will be given here.…”

Section: Resultssupporting

confidence: 86%

“…The physical explanation for the above behavior of drag coefficients at high values of the power-law index will be given here and is based on the work of Whitney and Rodin [8]. These authors investigated the problem of rigid bodies translating through unbounded shear-thinning power-law fluids and found the relationship between the velocity and the force acting on the rigid body.…”

Section: Resultsmentioning

confidence: 98%

“…Referring to shear-thinning fluids, the authors say, "The velocity gradient decay is much stronger for highly non-linear fluids than for Newtonian fluids. This implies that in highly non-linear fluids one should The physical explanation for the above behavior of drag coefficients at high values of the power-law index will be given here and is based on the work of Whitney and Rodin [8]. These authors investigated the problem of rigid bodies translating through unbounded shear-thinning power-law fluids and found the relationship between the velocity and the force acting on the rigid body.…”

Section: Resultsmentioning

confidence: 99%

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A Note on the Drag Coefficient of Steady Flow of Non-Newtonian, Power-Law Fluids across Unbounded Two-Dimensional Bodies at Low Reynolds Numbers

Pantokratoras

2017

Fluids

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Abstract:The flow of a non-Newtonian, power-law fluid, directed normally to long, two-dimensional horizontal bodies, is considered in the present note. It is found that for low Reynolds numbers (Re ≤ 0.1) and a low power-law index (shear-thinning fluids) the drag coefficient always obeys the relationship c D = A/Re, whereas at a high power-law index (shear-thickening fluids) the drag coefficient tends to become identical for all bodies irrespective of their cross-section form.

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Section: Resultssupporting

confidence: 86%

Section: Resultsmentioning

confidence: 98%

Section: Resultsmentioning

confidence: 99%

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A Note on the Drag Coefficient of Steady Flow of Non-Newtonian, Power-Law Fluids across Unbounded Two-Dimensional Bodies at Low Reynolds Numbers

Pantokratoras

2017

Fluids

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“…Whitney and Rodin [18], using finite element method, also overestimate the calculation of this correction factor for 0:6 6 n 6 0:9, but give numerical results in good accordance with the present ones, for 0:1 6 n < 0:6, as shown in this same figure. Similar results have been obtained by Sivakumar et al [19] and are added on the Fig.…”

Section: Stokes-type Force In Unbounded Mediumsupporting

confidence: 89%

“…14a and b. The successful comparison with the asymptotic formulas (18), (19) in this power-law ''Poiseuille flow'' confirms again the accuracy of the numerical results.…”

Section: Cylindrical Particle In a ''Poiseuille'' Flowsupporting

confidence: 68%

Wall effects on the transportation of a cylindrical particle in power-law fluids

Despeyroux

Ambari

Richou

2011

Journal of Non-Newtonian Fluid Mechanics

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible.This is an author-deposited version published in: https://sam.ensam.eu Handle ID: .http://hdl.handle.net/10985/8454 To cite this version :Antoine DESPEYROUX, Abdelhak AMBARI, Abderrahim BEN RICHOU -Wall effects on the transportation of a cylindrical particle in power-law fluids -Journal of Non-Newtonian Fluid Mechanics -Vol. 166, n°19-20, p.1173-1182 -2011 Any correspondence concerning this service should be sent to the repository b s t r a c tThe present work deals with the numerical calculation of the Stokes-type drag undergone by a cylindrical particle perpendicularly to its axis in a power-law fluid. In unbounded medium, as all data are not available yet, we provide a numerical solution for the pseudoplastic fluid. Indeed, the Stokes-type solution exists because the Stokes' paradox does not take place anymore. We show a high sensitivity of the solution to the confinement, and the appearance of the inertia in the proximity of the Newtonian case, where the Stokes' paradox takes place. For unbounded medium, avoiding these traps, we show that the drag is zero for Newtonian and dilatant fluids. But in the bounded one, the Stokes-type regime is recovered for Newtonian and dilatant fluids. We give also a physical explanation of this effect which is due to the reduction of the hydrodynamic screen length, for pseudoplastic fluids. Once the solution of the unbounded medium has been obtained, we give a solution for the confined medium numerically and asymptotically. We also highlight the consequence of the confinement and the backflow on the settling velocity of a fiber perpendicularly to its axis in a slit. Using the dynamic mesh technique, we give the actual transportation velocity in a power-law ''Poiseuille flow'', versus the confinement parameter and the fluidity index, induced by the hydrodynamic interactions.

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Steady Flow of Power Law Fluids across a Circular Cylinder

2006

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gammes de conditions, soit 5 ≤ Re ≤ 40 et 0,6 ≤ n ≤ 2. Le comportement rhéofl uidifi ant (n < 1) du fl uide réduit la taille de la zone de recirculation et accroît également la séparation; d'autre part, les fl uides rhéoépaississants (n > 1) montrent un comportement opposé. En outre, alors que la taille du sillage varie de manière non monotone avec l'indice de loi de puissance, elle ne semble pas infl uencer les valeurs du coeffi cient de traînée. Le coeffi cient de pression de stagnation et le coeffi cient de traînée montrent aussi une dépendance complexe envers l'indice de loi de puissance et le nombre de Reynolds. Les distributions des coeffi cients de pression, de la vorticité et de la viscosité sur la surface du cylindre sont également présentées afi n de mieux comprendre les cinématiques d'écoulement détaillées.

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Force–velocity relationships for rigid bodies translating through unbounded shear-thinning power-law fluids

Cited by 41 publications

References 8 publications

A Note on the Drag Coefficient of Steady Flow of Non-Newtonian, Power-Law Fluids across Unbounded Two-Dimensional Bodies at Low Reynolds Numbers

A Note on the Drag Coefficient of Steady Flow of Non-Newtonian, Power-Law Fluids across Unbounded Two-Dimensional Bodies at Low Reynolds Numbers

Wall effects on the transportation of a cylindrical particle in power-law fluids

Steady Flow of Power Law Fluids across a Circular Cylinder

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