In order to determine the viscosity of liquid by the oscillating vessel method with high accuracy, an investigation was made on the relationship between the logarithmic decrement of the oscillations of a suspended system and the viscosity of liquid.
First, improvements were made on the viscosity apparatus such as the balance weight in order to obtain the precise values of measurement on the logarithmic decrement.
In the equation proposed by Roscoe, which has frequently been used to calculate the absolute and accurate viscosity of liquid from the measured logarithmic decrement, corrections for the end, slipping and meniscus effects are not sufficiently discussed. Therefore, Roscoe’s formula was examined by experiment using the viscometer calibrating liquids such as Hg, In, Sn, Bi and Pb whose viscosities had been measured by a theoretically established capillary method. The results showed that Roscoe’s equation did not necessarily provide reliable viscosity values. A correction for Roscoe’s equation was made so as to derive reasonable values of viscosity. The corrected Roscoe’s formula appears to give precise values of viscosity of liquid.
Based on the above investigation, the logarithmic decrement of liquid zinc was measured precisely in the temperature range from 700 to 913 K by the oscillating vessel method, and its viscosity was determined by the corrected Roscoe’s formula that connects the logarithmic decrement with the viscosity of liquid.
The variation of the viscosity η (in Pa·s) with absolute temperature
T is expressed by the following relationship:
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The value of the melting-point viscosity of 3.50×10
−3 Pa·s for liquid zinc was obtained from the above equation.
The viscosity data of zinc determined in this work are thought to be accurate within the absolute error of about ±4%.
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