On non-Newtonian flow past a sphere

Adachi, Kohsuke; Yoshioka, Naoya; Yamamoto, Kazuki

doi:10.1016/0009-2509(73)85047-x

Cited by 31 publications

(13 citation statements)

References 27 publications

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“…Adachi et al [1] solved for the flow of non-Newtonian shear-thinning fluids past a sphere numerically. They decomposed the total drag of the sphere into friction drag and pressure drag, and found that the friction drag decreases and the pressure drag increases, as shear-thinning increases.…”

Section: Discussionmentioning

confidence: 99%

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Non-Newtonian shear-thinning flows past a flat plate

Thompson

1996

Journal of Non-Newtonian Fluid Mechanics

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The present work attempts to characterize the flow of shear-thinning power-law fluids past a flat plate as the angle of attack is varied. The effects of Reynolds number, shear-thinning characteristics and angles of attack on drag and lift of the flat plate were investigated, both experimentally and numerically. Carbopol 940 solutions of various strengths were used to approximate purely viscous shear-thinning non-Newtonian fluids for the experiments. An important finding is that at small angles of attack when the wall shear forms the dominant contribution to the drag, the non-Newtonian shear-thinning property leads to drag reduction, whereas for large angles of attack, when pressure-induced form drag is dominant, shear-thinning results in drag augmentation. This is consistent with the trend shown in the present study that lift increases as shear-thinning increases. It is demonstrated that a simple linear model developed for Newtonian creeping flow can be used to estimate the effect of angle on drag given both the drag coefficients corresponding to normal and tangential flow to the plate.

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Section: Discussionmentioning

confidence: 99%

“…There are numerous experimental and computational studies on drag of spherical bodies in non-Newtonian fluid flows (e.g. [1][2][3][4], to mention just a few). A considerable body of information on the motion of rigid spherical particles falling in incompressible Newtonian or non-Newtonian fluid media has been summarized by Chhabra [5].…”

Section: Introductionmentioning

confidence: 99%

Non-Newtonian shear-thinning flows past a flat plate

Thompson

1996

Journal of Non-Newtonian Fluid Mechanics

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“…In contrast to this, virtually no theoretical results are available on sphere motion in purely viscous media at finite Reynolds numbers. Adachi et al (1973) employed a finite difference method to study the drag and flow field around a sphere moving in a power law fluid (1 > > 0.8) at Re = 60.…”

Section: Previous Workmentioning

confidence: 99%

Power law fluid flow over spheroidal particles

Tripathi¹,

Chhabra²,

Sundararajan³

1994

Ind. Eng. Chem. Res.

100

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The equations of motion have been solved numerically for the incompressible power law fluid flow past spherical and spheroidal solid particles. The finite element technique has been employed to obtain the velocity and pressure fields prevailing around a particle. These have been further processed to evaluate the individual contributions of pressure and viscous forces to the total drag on spheres and spheroids (prolates and oblates). Streamline plots showing the nature of flow and the gradual development of the wake region are also presented. The computed drag results encompass wide ranges of physical and kinematic conditions given by 1 > n > 0.4,0.01 < Re < 100, and 0.2 < E < 5. Extensive comparisons are provided with previous theoretical and experimental results available in the literature.

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“…The creeping flow of a power law non-Newtonian fluid past a single solid sphere has been theoretically investigated by Tomita (1959), Wallick et al ( 1962), Slattery ( 1962), and Wasserman and Slattery ( 1964) using variational principles. The intermediate Reynolds number flow was analyzed by Adachi et al (1973) using an extended Galerkin method.…”

Section: Conclusion a N D Significancementioning

confidence: 99%

A theoretical study of pressure drop for non‐Newtonian creeping flow past an assemblage of spheres

Mohan

Raghuraman

1976

AIChE Journal

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A combination of Happel's free surface model and variational principles is used to obtain bounds on the drag offered by the creeping flow of a power law fluid past an assemblage of solid spheres. The theoretical predictions of the product of the Fanning friction factor f and Reynolds number Re, are in close agreement with available experimental data on non-Newtonian flow through porous media. The product (f Re,) reduces for the Newtonian case to that of Happel and Brenner. SCOPEThe flow of a Newtonian fluid through packed and fluidized beds has received considerable attention in the chemical engineering literature. A free surface model developed by Happel is widely used to predict the friction factor for ~~~~~~i~~ fluids. H~~~~~~, the analogou9 problem of flow of a non-Newtonian fluid through packed and fluidized beds has not been analyzed so far with this model. This paper extends the Happel's free surface model to the flow of power law fluids by making use of variational principles and presents an analysis for the friction factor in packed and fluidized beds. CONCLUSIONS A N D SIGNIFICANCE A combination of Happel's free surface model and variational principles yields numerical values for the product of the Fanning friction factor f and the Reynolds number Re, for various values of bed porosities and flow behavior indexes. An expression for the product (f Re,) in terms of the porosity and flow behavior index is developed which well predicts experimental values of friction factor for power law flow through packed and fluidized beds. A correlating equation was developed which provides a continuous STUART W. CHURCHILL representation f

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On non-Newtonian flow past a sphere

Cited by 31 publications

References 27 publications

Non-Newtonian shear-thinning flows past a flat plate

Non-Newtonian shear-thinning flows past a flat plate

Power law fluid flow over spheroidal particles

A theoretical study of pressure drop for non‐Newtonian creeping flow past an assemblage of spheres

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