Theory of a Double Cone Viscometer for Non-Newtonian Liquids

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Abstract
A general relationship between the torque M and the angular velocity Ω is derived theoretically for a time-independent non-Newtonian liquid specified by an arbitrary flow curve. It is assumed that the motion of the liquid is laminar and 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-effect is neglected. It is shown how to determine the flow curve from the experimental relationship between M and Ω for some special cases: i) non-Newtonian liquid obeying power law flow curve, ii) non-Newtonian liquid whose flow curve is expanded into a power series, iii) Bingham body, and iv) non-Newtonian liquid obeying Casson's equation.

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