Proceedings of the Physico-Mathematical Society of Japan. 3rd Series
Online ISSN : 2185-2707
Print ISSN : 0370-1239
ISSN-L : 0370-1239
On the Approximate Formula for the Determination of Viscosity by the Torsional Vibration
Tokiharu OKAYA
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1941 Volume 23 Pages 1031-1037

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Abstract

(6) From the geometrical dimension of hollow cylinder used for the torsional vibration we can determine four constants (3*), (2*), (1*) and (0*) and from the logarithmic decrement δ and period T of vibration, as well as from the density ρ of liquid, we can calculate by (18)
(3)=(3*)η, (2)=(2*) (B-Aη), (1)=(1*)/ρ, (0)=(0*)A2,
and thence
ξ1=(2)/2(1)[1-√<1-4(1)(3)/(2)2>], ε(0)ξ31/[-(2)+2(1)ξ1-3(0)ξ21].
The viscosity μ of the liquid can be then calculated by
μ=(ξ1+ε)2/(πρT)

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