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Turbulent channel flow of dense suspensions of neutrally buoyant spheres

Published online by Cambridge University Press:  08 January 2015

Francesco Picano ,
Wim-Paul Breugem  and
Luca Brandt
Francesco Picano*
Affiliation:
SeRC (Swedish e-Science Research Centre) and Linné FLOW Centre, KTH Mechanics, SE-100 44 Stockholm, Sweden Department of Industrial Engineering, University of Padova, Via Venezia 1, 35131 Padua, Italy
Wim-Paul Breugem
Affiliation:
Aero and Hydrodynamics Laboratory, Delft University of Technology, Leeghwaterstraat 21, NL-2628 CA Delft, The Netherlands
Luca Brandt
Affiliation:
SeRC (Swedish e-Science Research Centre) and Linné FLOW Centre, KTH Mechanics, SE-100 44 Stockholm, Sweden
*
†Email address for correspondence: francesco.picano@unipd.it
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Abstract

Dense particle suspensions are widely encountered in many applications and in environmental flows. While many previous studies investigate their rheological properties in laminar flows, little is known on the behaviour of these suspensions in the turbulent/inertial regime. The present study aims to fill this gap by investigating the turbulent flow of a Newtonian fluid laden with solid neutrally-buoyant spheres at relatively high volume fractions in a plane channel. Direct numerical simulation (DNS) are performed in the range of volume fractions ${\it\Phi}=0{-}0.2$ with an immersed boundary method (IBM) used to account for the dispersed phase. The results show that the mean velocity profiles are significantly altered by the presence of a solid phase with a decrease of the von Kármán constant in the log-law. The overall drag is found to increase with the volume fraction, more than one would expect if just considering the increase of the system viscosity due to the presence of the particles. At the highest volume fraction investigated here, ${\it\Phi}=0.2$ , the velocity fluctuation intensities and the Reynolds shear stress are found to decrease. The analysis of the mean momentum balance shows that the particle-induced stresses govern the dynamics at high ${\it\Phi}$ and are the main responsible of the overall drag increase. In the dense limit, we therefore find a decrease of the turbulence activity and a growth of the particle induced stress, where the latter dominates for the Reynolds numbers considered here.

JFM classification

Multiphase and Particle-laden Flows: Multiphase and Particle-laden Flows Complex Fluids: Suspensions Turbulent Flows: Turbulent Flows

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Papers
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Journal of Fluid Mechanics , Volume 764 , 10 February 2015 , pp. 463 - 487
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© 2015 Cambridge University Press 

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