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Mixing in a sheared particulate suspension

Published online by Cambridge University Press:  20 April 2021

Régis Turuban ,
Henri Lhuissier Open the ORCID record for Henri Lhuissier [Opens in a new window]  and
Bloen Metzger Open the ORCID record for Bloen Metzger [Opens in a new window]
Régis Turuban
Affiliation:
Aix Marseille Univ, CNRS, Institut Universitaire des Systèmes Thermiques et Industriels, 13453 Marseille, France
Henri Lhuissier
Affiliation:
Aix Marseille Univ, CNRS, Institut Universitaire des Systèmes Thermiques et Industriels, 13453 Marseille, France
Bloen Metzger*
Affiliation:
Aix Marseille Univ, CNRS, Institut Universitaire des Systèmes Thermiques et Industriels, 13453 Marseille, France
*
†Email address for correspondence: [email protected]
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Abstract

In a sheared suspension, the chaotic motion of the particles disperses the suspending liquid and drives an exponential and broadly distributed growth of the elongation of its material lines. This paper addresses experimentally and theoretically the consequences of this complex advection on the mixing of an initially segregated blob of diffusive dye, at large Péclet number and down to the finest scales of mixing. As the suspension is sheared, the combined action of the mean and fluctuating components of the flow stretches and folds the blob into a multi-scale lamellar structure. At short time, overlaps between the lamellae are scarce and the probability distribution concentration can be understood from the local stretching statistics only. At intermediate times, dispersion limits the volume within which lamellae deploy; overlaps become abundant and their statistics determine the concentration distribution. At longer times, the dye becomes homogeneous at the particle scale and the concentration distribution is set by dispersion only. Predictions for both the concentration distribution and the transitions between these successive stages of mixing are provided and compared to the experimental results.

JFM classification

Complex Fluids: Suspensions Mixing: Chaotic advection Mixing: Laminar mixing
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 916 , 10 June 2021 , R4
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

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Turuban et al. supplementary movie

Mixing of a blob of diffusive dye in a sheared particulate suspension at low and large Péclet number.

Download Turuban et al. supplementary movie(Video)
Video 35.2 MB