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Theory of oscillation type viscometers: The oscillating cup

Part II

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Abstract

The following is continuation of Part I. The emphasis in this part is on inquiring how the frequency and decrement of the oscillation are related to the viscosity and density of the fluid for cups of various shapes and sizes. In particular, estimates are made of the errors that would result from calculations of the viscosity and density from observed values of the frequency and decrement and known experimental uncertainties of the latter. Methods are also described which enable one to perform these calculations explicitly.

Zusammenfassung

Diese Notiz ist eine Fortsetzung des ersten Teiles. Hierin wird insbesondere die Frage behandelt, wie die Frequenz und das Dekrement der Schwingung von der Viskosität und Dichte der Flüssigkeit, bei Verwendung von Bechern verschiedener Gestalt und Grösse, abhängt. Vor allem wurden die Fehler abgeschätzt, die bei der Berechnung der Viskosität und der Dichte aus den beobachteten Frequenz- und Dämpfungswerten auftreten können und wenn letztere mit bekannter experimenteller Ungenauigkeit bestimmt wurde. Weiterhin sind Methoden angegeben, wie diese Berechnung leicht erfüllt werden kann.

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References

  1. J. Kestin andJ. R. Moszynski,On the Measurement of the Viscosity of Steam by the Observation of Small Oscillations, Fifth International Conference on Steam Properties, London 1956.

  2. P. Mariens andO. van Paemel,Theory and Experimental Verification of the Oscillating Disk Method for Viscosity Measurements in Fluids, Appl. sci. Res.5, 411 (1956).

    Google Scholar 

  3. J. Kestin andH. E. Wang,Corrections for the Oscillating Disk Viscometer, J. appl. Mech.24, 197 (1957).

    Google Scholar 

  4. J. E. Verschaffelt,The Viscosity of Liquefied Gases I, II, III, Commun. phys. Lab. Univ. Leiden14, No. 148 b, c, d.

  5. J. Kestin andL. N. Persen,Small Oscillations of Bodies of Revolution in a Viscous Fluid, Brown University — OSR Report AF 891/2 (1954).

  6. Three Papers on the Theory of the Oscillating Cup Viscometer, translated and condensed byJ. Kestin, Brown University, OSR Report AF 891/4 (1954). Original papersE. G. Shvidkovskii, Uchenye Zepiski MGU (Moscow University)74, 135 (1944);A. M. Butov, L. S. Priss, andE. G. Shvidkovskii, Zhur. Tekh. Fiz.21, 1319 (1951);L. S. Priss, Zhur. Tekh. Fiz.21, 1050 (1952).

  7. On the Determination of Viscosity by the Oscillation of a Vessel Enclosing a Fluid, Part I byC. da N. Andrade andY. S. Chiong, Proc. phys. Soc.48, 247 (1936); Part II byC. da N. Andrade andL. Rotherham, Proc. phys. Soc.48, 261 (1936).

  8. J. Kestin andL. N. Persen,Slow Oscillations of an Infinite Plate and an Infinite Disk in a Viscous Fluid, Brown University, OSR Report AF 891/1 (1954).

  9. G. F. Newell, J. Kestin andD. A. Beckwith,Theory of the Oscillating Cup Viscometer, Brown University, OSR Report AF 891/7 (1956).

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Beckwith, D.A., Newell, G.F. Theory of oscillation type viscometers: The oscillating cup. Journal of Applied Mathematics and Physics (ZAMP) 8, 450–465 (1957). https://doi.org/10.1007/BF01600561

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  • DOI: https://doi.org/10.1007/BF01600561

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