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Sedimenting-particle redistribution in a horizontal Couette

Published online by Cambridge University Press:  17 January 2024

M. Davoodi Open the ORCID record for M. Davoodi [Opens in a new window]  and
A. Clarke Open the ORCID record for A. Clarke [Opens in a new window]
M. Davoodi*
Affiliation:
Schlumberger Cambridge Research, High Cross, Madingley Road, Cambridge CB3 0HE, UK
A. Clarke
Affiliation:
Schlumberger Cambridge Research, High Cross, Madingley Road, Cambridge CB3 0HE, UK
*
†Email address for correspondence: MDavoodi@slb.com
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Abstract

Flow between axially rotating concentric cylinders is well known to exhibit rich dynamics. Hence, Taylor instabilities have been studied, both experimentally and theoretically, for many years. Although usually studied in the abstract, such geometries arise in a range of practical situations including drilling, when a drilling fluid flow enters a well via a pipe that is the centre body and returns via the annulus between the pipe and the borehole wall. In drilling, the centre body rotates and the annular flow contains rock cuttings. Here, we report the development of an Eulerian-Eulerian solver, based on OpenFOAM, that solves for this cuttings transport problem in the presence of both gravity and Taylor vortices. To check the reliability of the solver, we conduct a set of experiments spanning a wide range of complex flow regimes. We show that the model successfully predicts, in all regimes, the observed complex redistribution of particulates. However, for suspension flows under viscously dominated conditions, high particle concentrations and in rectilinear flow, particle pressure and normal stress differences are sufficient to capture particle migration. Results show that in more complex flows exemplified by the Taylor–Couette flow studied here, more realistic predictions of non-Brownian particle migration require inclusion of forces arising through the relative velocity of the two phases including lift forces originating both from inertia and particle rotation.

Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 979 , 25 January 2024 , A37
Copyright
© Schlumberger Cambridge Research Limited, 2024. Published by Cambridge University Press

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Supplementary material: File

Davoodi and Clarke supplementary movie 1

Particle distribution in aqueous glycerol as a function of rotation rate (inset) Figure 7 dataset. The background derived from the fluid only filled couette is subtracted, the image inverted so that particles appear white and the contrast/brightness adjusted for visual enhancement.
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File 8 MB
Supplementary material: File

Davoodi and Clarke supplementary movie 2

Numerically generated video of wavey vortex evolution at 644rpm, Ta=202 and a particle volume concentration of 3.6%.
Download Davoodi and Clarke supplementary movie 2(File)
File 4.6 MB
Supplementary material: File

Davoodi and Clarke supplementary material 3

Davoodi and Clarke supplementary material
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