Interaction between two equal-sized equal-settling spheres moving through a viscous liquid

Eveson, G F; Hall, E W; Ward, Stacey G.

doi:10.1088/0508-3443/10/1/311

Cited by 38 publications

(14 citation statements)

References 2 publications

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“…Similar trends have also been observed by Kasper et al (1985). Indeed, the present results are within 2 % of the literature values due to Eveson et al (1959), Horvath (1974) and Kasper et al (1985). Based on these comparisons and the reproducibility of the present data, it is believed that the drag measurements reported herein entad experimental uncertainty of no more than 5-6%.…”

Section: (3) Drag On a Chain Of Spheres Drag On A Single Sphere Of Eqsupporting

confidence: 92%

“…In contrast to this, only very limited experimental results have been reported even with Newtonian fluids. Early results, due to Eveson et al (1959) and Horvath (1974), are limited to straight chains of up to five spheres. These as well as more recent results of two spheres show satisfactory agreement with theoretical predictions (O'Brien, 1973;Lasso and Weidman, 1988).…”

Section: Previous Workmentioning

confidence: 99%

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Drag on chains and agglomerates of spheres in viscous newtonian and power law fluids

1995

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New experimental data on the free settling velocity of straight chains (up to twenty spheres) and planar clusters of touching spheres in Newonian and power law media are reported. The results embrace the following ranges of conditions: 0.65 5 n 5 1; Re < .-2.5 and 1.22 5 m 5 48.87 P11.s". The straight chain drag measurements are in line with theoretical predictions for Newtonian fluids. The present results in power law fluids seem to suggest that it is possible to express the drag on a straight chain of spheres in terms of that on a single sphere of equal volume. Limited results with planar clusters are satisfactorily correlated using a volume equivalent sphere diameter.On prksente de nouvelles donnkes exphimentales sur la vitesse de chute libre de chaines droites (jusqu'h vingt sphtres) et d'agglomtrats planaires de sphtres en contact dans des milieux newtoniens et pseudoplastiqiues (loi de puissance).Les rksultats sont obtenus dans les conditions suivantes: 0,65 5 n i; 1; Re < -2,s; et 1.22 5 m 5 48.87 Pa. s". L e s mesures de train& ties chaines droites concordent aves les predictions thhriques pour les fluides newtoniens. Les rksultats prksentts ici pour les fluides de loi de puissance laissent croire qu'il serait possible d'exprimer la train& sur une chaine de sphtres droite en tennes de train& sur une sphtre unique de volume Cgal. Les quelques rksultats obtenus sur les agglormkrats planiares sont corrklCs de manibre satisfaisante par un diamttre de sphtre de volume huivalent.

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Section: (3) Drag On a Chain Of Spheres Drag On A Single Sphere Of Eqsupporting

confidence: 92%

Section: Previous Workmentioning

confidence: 99%

Drag on chains and agglomerates of spheres in viscous newtonian and power law fluids

1995

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“…The first experimental studies regarding spheres interacting at low Reynolds number were performed by Eveson et al [Eveson, 1959] Therefore, low Re studies are most appropriate. Happel and Pfeffer [Happel, 1960] reported the increase in the terminal velocity for two particles falling along one axis compared to an isolated particle under the same conditions.…”

Section: Discussionmentioning

confidence: 99%

The MicroPIVOT : an Integrated Particle Image Velocimeter and Optical Tweezers Instrument for Microscale Investigations

Mevergnies¹

2000

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This dissertation describes the development of a device capable of suspending a microscale object in a controlled flow. The μPIVOT is a system integrating two laserbased techniques: micron particle image velocimetry (μPIV) and optical tweezers (OT).The OT allows the suspension and manipulation of micron-sized objects such as microspheres or biological cells. μPIV provides imaging of the suspended object and velocity measurements from which fluid induced stresses can be determined. Using this device, we measured fluid velocities around an optically suspended polystyrene microsphere (an experimental first) and studied the interaction between two particles suspended in a uniform flow. The results were consistent with theoretical low Reynolds number, Newtonian flow predictions. Additionally, we analyzed a single cell's mechanical response to a controlled and measurable multiaxial external force (fluid flow) without the cell being physically attached to a surface. The cell's mechanical response was monitored by observing its morphology and measuring its deformation.The results show significant deformations of optically suspended cells at substantially smaller stresses than previously reported and demonstrate the opportunity to optically distinguish a cell by its trapping efficiency. These initial applications of the PIVOT demonstrate the potential of this unique device as a research tool for novel studies in the fields of fluid/particle(s) interactions, non-Newtonian fluid mechanics, and single cell biomechanics.ii ACKNOWLEDGMENTS

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“…Experimental data on two spheres falling in viscous liquids is available from the works of Eveson et al (1959) and Happel and Pfeffer (1960). They observed that the terminal velocity of two spheres was greater than that of an isolated sphere (which implies that for two spheres, the drag force per sphere is less than that on an isolated sphere).…”

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confidence: 99%

Drag on individual cubic assemblies of spheres in non‐newtonian tube flow

Subramaniam¹,

Zuritz²

1994

Can J Chem Eng

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An obstacle in modeling aseptic processing of particulate foods is the lack of a reliable estimator for the drag force of the non‐Newtonian liquid phase on the suspended particles as they flow through the holding tubes of such systems. The objective was to develop an expression for the drag force on cubic assemblies of spherical particles suspended in a pseudoplastic fluid flowing in a tube. An apparatus was assembled for direct measurement of the drag force exerted by solutions of sodium carboxymethyl cellulose (CMC) on the assemblies inside a tube. An empirical drag correction factor, as a function of particle volume fraction (applicable to Stokes' law), was developed.

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Interaction between two equal-sized equal-settling spheres moving through a viscous liquid

Cited by 38 publications

References 2 publications

Drag on chains and agglomerates of spheres in viscous newtonian and power law fluids

Drag on chains and agglomerates of spheres in viscous newtonian and power law fluids

The MicroPIVOT : an Integrated Particle Image Velocimeter and Optical Tweezers Instrument for Microscale Investigations

Drag on individual cubic assemblies of spheres in non‐newtonian tube flow

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