An Amendment of Rotation Speed-Torque Transformation Equation for the Herschel-Bulkley Model in Wide-Gap Coaxial Cylinders Rheometer


The Herschel-Bulkley model is one of the most commonly used rheological models for Non-Newtonian fluids, and it has been applied to describe the non-linear rheological behavior of fresh concrete. However, because it is difficult to transform the measured rotating speed and torque data into fundamental rheological units for coaxial cylinder rheometers, only an approximate approach has been proposed for this model. In order to improve the accuracy of the solution, a new integral equation describing the torque-rotation speed of Herschel-Bulkley model was derived in this paper, and 40 sets of simulated data were used for the comparison between the two methods. The equation introduced in this study was further validated by the experimental data of SCC. The results indicated that the established solution yielded more accurate results than the approximate one.


Civil, Architectural and Environmental Engineering

Research Center/Lab(s)

Center for Research in Energy and Environment (CREE)


Financial support from the National Key R&D Program of China ( 2017YFB0310100 ), and the National Natural Science Foundation , China (U1504513 and 51778629) are gratefully acknowledged.

Keywords and Phrases

Coaxial cylinders rheometer; Herschel-Bulkley model; Rheology; Yield stress

International Standard Serial Number (ISSN)


Document Type

Article - Journal

Document Version


File Type





© 2020 Elsevier Ltd, All rights reserved.

Publication Date

01 Mar 2020