Laminar-Turbulent Transition Flows of Non-Newtonian Slurries: Models Assessment

[+] Author and Article Information
Kofi Freeman K. Adane

Fluid Systems Engineering, Alberta Innovates-Technology Futures, Devon Research Centre, 1 Oil Patch Drive, Devon, Alberta, T9G 1A8, Canada

Martin Agelin-Chaab

Department of Automotive, Mechanical and Manufacturing Engineering, Faculty of Engineering and Applied Science, University of Ontario Institute of Technology, 2000 Simcoe Street North, Oshawa, Ontario, L1H 7K4, Canada

1Corresponding author.

ASME doi:10.1115/1.4040503 History: Received May 13, 2017; Revised June 04, 2018


In this study, a qualitative assessment of transitional velocity engineering models for predicting non-Newtonian slurry flows in a horizontal pipe was performed using data from wide pipe diameters (25 - 268 mm). In addition, the Gamma Theta transition model was used to compute selected flow conditions. These models were used to predict transitional velocity in large pipe diameters (up to 420 mm) for selected slurries. In general, it was observed that most of the current engineering models predict transitional velocities conservatively. However, caution should be exercised in design situations where both pipe diameter and viscoplastic viscosity influence the value of the Hedström number. Based on the Gamma Theta transition model results and for large Hedström number, He (? 105), other methods should be used to predict transitional velocity if a change in pipe diameter (scale-up) results in an order of magnitude for the He. It was also found that the Gamma Theta transition model predicted a laminar flow condition in the fully developed region for flow conditions with a small plug region (low yield stress-to-wall shear stress ratio) which is contrary to what has been observed in some experiments due partly to the local fluid rheological parameters values which might be different from reported. However, the Gamma Theta transition model results are in good agreement with the experimental data for flow conditions with a large plug region (high yield stress-to-wall shear stress ratio).

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