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Theory of a Cone-Plate Viscometer for Non-Newtonian Liquids

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Copyright (c) 1967 The Japan Society of Applied Physics
, , Citation Syoten Oka and Akira Takami 1967 Jpn. J. Appl. Phys. 6 258 DOI 10.1143/JJAP.6.258

1347-4065/6/2/258

Abstract

A general relationship between the torque M and the angular velocity \varOmega of a plate is obtained for a time-independent non-Newtonian liquid specified by an arbitrary flow curve. It is assumed that the motion of the liquid is steady and that each liquid particle moves with a constant angular velocity on a circle on a horizontal plane perpendicular to the axis of rotation. The edge effects are neglected. It is shown how to determine the flow curve from the experimental relationship between M and \varOmega for some special cases. Following special cases are considered: i) non-Newtonian liquid obeying power law flow curve, ii) non-Newtonian liquid obeying flow curve expanded into power series, iii) Bingham body. It is shown that the relationship between M and \varOmega for a non-Newtonian liquid obeying power law flow curve is reduced to the well-known formula for a Newtonian liquid when the exponent tends to unity.

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10.1143/JJAP.6.258