Falling Sphere Viscometry. I. Wall and Inertial Corrections to Stokes' Law in Long Tubes

Sutterby, J. L.

doi:10.1122/1.549308

Cited by 46 publications

(23 citation statements)

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“…He gives the increase in the drag due to end effect according to the 2z/D ratio where z is the distance between the ball and the cylinder base and D the tube diameter. For Sutterby [19], the corrections due to the end effects are useless for : [4] confirm the results obtained by Sutterby [19]. Indeed, it is not necessary to apply at the same time the corrections due to the end effects and the corrections due to the edge effects, except if the ball is only a few diameters away from the tube base.…”

Section: End Effectssupporting

confidence: 72%

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Design of a high precision falling-ball viscometer

Brizard

Megharfi

Mahe

et al. 2005

Review of Scientific Instruments

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The increase in uncertainty throughout the viscosity scale being the principal disadvantage of capillary viscometry, the BNM-LNE decided to develop an absolute falling-ball viscometer making it possible to cover a wide range of viscosity while keeping a weak uncertainty. The measurement of viscosity then rests on the speed limit measurement of falling ball, corrected principal identified effects (edge effects, inertial effects, etc). An experimental bench was developed in order to reach a relative uncertainty of the order of 10 -3 to the measure of viscosity. This bench must allow to observe the trajectory of the ball inside a cylindrical tube filled with liquid for which the viscosity is to be measured, and to obtain the variations in speed throughout the fall in order to determine the area where the speed limit is reached.

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Section: End Effectssupporting

confidence: 72%

“…Sutterby [19] also carried out experimental works on the wall and inertial effects for 0<d/D<0.13 and 0.0001<Re<3.78. As a result, an empirical correlation for the wall to wall correction factor :…”

Section: Edge Effectsmentioning

confidence: 99%

Design of a high precision falling-ball viscometer

Brizard

Megharfi

Mahe

et al. 2005

Review of Scientific Instruments

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“…An exact solution for the case of Newtonian fluids was given first by Faxen [4] and genralized by Sutterby [5], who also gives corrections for end effects 1).…”

Section: Some Problems Of Falling Sphere Viscometrymentioning

confidence: 99%

Viscosity measurements with a magnetoviscometer in the zero-shear and transition region of polypropylenes

Gahleitner

Sobczak

1987

Rheol Acta

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Streaming of a non-Newtonian fluid around a sphere is of special importance not only for measuring viscosities with falling spheres, but also for many problems connected with polymer processing. Using the mentioned measuring principle, attention has to be paid to the following points: The sphere is moving in a fluid (melt) of finite extension which requires the application of wall and perhaps end corrections. These are possibly not the same for Newtonian and non-Newtonian fluids. To calculate the viscosity with the help of Stokes law the steady-state velocity is necessary, and it is essential, how long it takes the sphere to reach it. To compare our results with other data, an average shear rate has to be calculated, since there is no uniform shear rate around the sphere. Velocities being very low in our experiments result in very small Reynolds numbers (Re < 10-3), which allows the application of Stokes law practically without corrections.The experiments were performed at zero shear and in the transition region above. It turned out, that it is usually not possible to extrapolate from shear-dependent viscosity data to zero-shear viscosity.

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“…Experimental investigations into effects of wall, inertia and elasticity on flow past a sphere abound in the literature e.g. [1,2,5,14,15]. Chhabra and his co-workers have studied the effects of fluid elasticity, shearthinning, wall and inertia on the motion of a sphere in nonNewtonian liquids [17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

“…The slow axial translation of a sphere in a liquid-filled cylinder forms the basis of a technique used to measure the viscosities of N e w t o n i a n liquids a n d the zero-shear rate viscosities of n o n -N e w t o n i a n liquids [1,2]. The analysis of this technique is based on the Stokes solution for a sphere in u n b o u n d e d liquid which can be found in most texts on h y d r o d y n a m i c viscous flow, e.g.…”

Section: Introductionmentioning

confidence: 99%