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Frank de Hoog, Robert Anderssen
Simple and Accurate Formulas for Flow-Curve Recovery from Couette Rheometer Data
Appl. Rheol. 16:6 (2006) 321-328
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In Couette rheometry, most of the current flow-curve recovery algorithms require the explicit numerical differentiation
of the measured angular velocity data. The exceptions and popular choices, because it avoids the need
for a numerical differentiation, are the parallel plate approximation (cf. Bird et al. [1], Table 10.2-1) and the simplest
of the formulas given in Krieger and Elrod [2]. However, their applicability is limited to narrow gap rheometer
data. In this paper, equally simple formulas are presented which are exact for Newtonian fluids, do not involve
a numerical differentiation and are consistently more accurate than the simple formulas mentioned above. They
are based on a generalization of the Euler-Maclaurin sum formula solution of the Couette viscometry equation
given in Krieger and Elrod. As well as illustrating the improved accuracy for the recovery of flow-curves for fluids
with and without a yield-stress, details about more general and accurate formulas for flow-curve recovery
from Couette rheometry data are given. The situation for the recovery of flow-curves from wide gap rheometery
measurements is also discussed.
► Cite this publication as follows:
deHoog F, Anderssen R: Simple and Accurate Formulas for Flow-Curve Recovery from Couette Rheometer Data, Appl. Rheol. 16 (2006) 321.
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