Entropic Friction Factor Modeling for Mineral Slurry Flow in Pressurized Pipes
Publication: Journal of Hydraulic Engineering
Volume 147, Issue 12
Abstract
The principle of maximum entropy (PME) relies on information theory, Shannon entropy, and four constraints, namely the total probability and conservation laws of mass, momentum, and energy. This paper applies PME theory to an exactly accurate data set available in the literature to develop a model that relates the friction factor () to the entropy parameter (). The proposed model exhibits fair adherence to the experimental data, and it was validated by multiphase flow pumping tests with concentrated iron ore slurry. Extending the use of the proposed model for multiphase flow, particularly mineral slurries, allows for the determination of apparent viscosity and Reynolds number without resorting to rheological measurement. The deviations between the parameter obtained from the proposed model and that reported in the literature were smaller than 5% for the iron ore slurry. It has been demonstrated that the PME is a particularly important tool for hydraulic systems, especially in multiphase flow such as that of mineral slurries containing a high content of solids.
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Data Availability Statement
All data, models, and codes generated by or used in the study appear in the published article.
Acknowledgments
The authors are grateful to CNPq (Grant No. 314974/2018-0), CAPES, and FAPESP (Grant No. 2014/22926-5) for sponsoring the research presented here. Vale S.A. and the Vale Institute of Technology are also acknowledged for providing the iron ore samples.
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Published In
Journal of Hydraulic Engineering
Volume 147 • Issue 12 • December 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: May 5, 2020
Accepted: Jun 9, 2021
Published online: Sep 23, 2021
Published in print: Dec 1, 2021
Discussion open until: Feb 23, 2022
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