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Research Papers: Flows in Complex Systems

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

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

Fluid Systems Engineering,
InnoTech Alberta Inc.,
Devon Research Centre,
1 Oil Patch Drive,
Devon, AB T9G 1A8, Canada
e-mail: kofifreeman@innotechalberta.ca

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, ON L1H 7K4, Canada
e-mail: martin.agelin-chaab@uoit.ca

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received May 13, 2017; final manuscript received June 4, 2018; published online June 29, 2018. Assoc. Editor: M'hamed Boutaous.

J. Fluids Eng 141(1), 011104 (Jun 29, 2018) (10 pages) Paper No: FE-17-1275; 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 a wide range of 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 velocities in large pipe diameters (up to 420 mm) for slurries. In general, it was observed that most of the current engineering models predict transitional velocities conservatively. Based on the gamma theta transition model results, for large Hedström numbers (He 105), other methods should be used to predict transitional velocities if a change in the pipe diameter (scale-up) results in an order of magnitude increase in the He value. 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. This is attributed to the local fluid rheological parameters values, which might be different from those reported. However, the gamma theta transition model results are in good agreement with the experimental data for flow conditions that have a large plug region (high-yield stress-to-wall shear stress ratio).

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Figures

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Fig. 1

Illustration of the intersection method. Data points from Wilson and Thomas [3].

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Fig. 5

Iso-contour plots of normalized velocity differences (laminar velocities minus transition velocities), Δu/U at U = 2.0 m/s in a 158 mm diameter pipe for fluid prepared from water and 17%v/v kaolin

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Fig. 6

Comparison of pressure drop in a 53 mm diameter pipe for fluid prepared from water and 22.6%v/v kaolin with 0.03 wt.% TSPP of kaolin

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Fig. 7

Comparison of pressure drop in a 158 mm diameter pipe for fluid prepared from water and 17%v/v kaolin

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Fig. 4

GTM normalized velocity (u/U) profiles in a 158 mm diameter pipe for fluid prepared from water and 17%v/v kaolin

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Fig. 8

Comparison of (a) velocity profiles in a fully developed region and (b) the turbulent intermittency along the streamwise direction at y/D = 0.1 in 53 mm [28] and 158 mm [1] diameter pipes

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Fig. 9

Iso-contour plots of the turbulent intermittency for various pipe diameters using water and 9% bentonite slurry by van den Heever [4]

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Fig. 2

Transition velocity versus the Hedström number

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Fig. 3

Parity plot of transition velocities from prediction and experiments

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