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Extrapolation procedures for zero shear viscosity with a falling sphere viscometer

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Summary

Several theoretical and empirical extrapolation procedures for the determination of zero shear viscosity in a falling sphere viscometer are critically analysed. They are experimentally tested and it is concluded that the extrapolation procedure based onCaswells work appears to be the most appropriate.

Zusammenfassung

Es werden einige theoretische und empirische Extrapolationsmethoden zur Bestimmung der Anfangs-Scherviskosität in einem Kugelfallviskosimeter kritisch analysiert. Diese werden experimentell überprüft, und es wird hieraus geschlossen, daß die Extrapolationsmethode, die auf der Arbeit vonCaswell beruht, die geeignetste zu sein scheint.

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Abbreviations

D :

sphere diameter, cm

d c :

container diameter, cm

F :

1/6πD 3(ϱ s −ϱ)g=drag force on sphere, dynes

F S :

6πη0R v∞ = drag force fromStokes law, dynes

f W :

wall correction factor forNewtonian flow past a sphere

f B :

bottom correction factor forNewtonian flow past a sphere

f I :

inertial correction factor forNewtonian flow past a sphere

g :

gravitational acceleration, cm/sec2

Re :

2Rvt ϱ/η0 =Reynolds number

v t :

measured sphere velocity, cm/sec

v∞ :

sphere velocity in an infinite medium, cm/sec

W :

correction factor byCaswell [eq. 4]

η0 :

zero shear viscosity, poise

η0 (N) :

corrected viscosity [Eqn. 2], poise

η s :

apparentStokes viscosity, poise

ϱ :

fluid density, gm/cm3

ϱ s :

sphere density, gm/cm3

τ m (N) :

maximum pseudo-Newtonian shear stress [eq. 2], dyne/cm2

λ i :

combination of material parameters

(i=1, 2, 3):

[eq. 4, 5, 6]

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Author notes

  1. V. Subbaraman, R. A. Mashelkar & J. Ulbrecht

    Present address: Department of Chemical Engineering, University of Salford, Salford 5, Lancs, England

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    1. V. Subbaraman
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    2. R. A. Mashelkar
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    3. J. Ulbrecht
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    Subbaraman, V., Mashelkar, R.A. & Ulbrecht, J. Extrapolation procedures for zero shear viscosity with a falling sphere viscometer. Rheol Acta 10, 429–433 (1971). https://doi.org/10.1007/BF01993722

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    • DOI: https://doi.org/10.1007/BF01993722

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