Preferential Concentration of Particles in Forced Turbulent Flows: Effects of Gravity

Guodong Gai, Olivier Thomine, Abdellah Hadjadj (), Sergey Kudriakov and Anthony Wachs
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Guodong Gai: Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada
Olivier Thomine: INSA, CORIA UMR-6614 CNRS, University of Normandy, 76000 Rouen, France
Abdellah Hadjadj: INSA, CORIA UMR-6614 CNRS, University of Normandy, 76000 Rouen, France
Sergey Kudriakov: Service de Thermo-Hydraulique et de Mécanique des Fluides, CEA, Université Paris-Saclay, 91191 Gif-sur-Yvette, France
Anthony Wachs: Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada

Energies, 2023, vol. 16, issue 6, 1-13

Abstract: The impact of gravity on the particle preferential concentration is investigated by direct numerical simulations in an Eulerian–Lagrangian framework for a large range of Stokes numbers S t η = 0.01 ∼ 4 . For particles with small Stokes numbers such as S t η = 0.01 , the gravity has minor effects on the particle spatial distribution in the turbulence. With increasing S t η , stripped structures of the high number density of particles appear and expand along the gravity direction. Different evaluation methods of particle preferential concentration are discussed such as the spatial distribution, the box index, and the probability density function. The number density of particles in the accumulating regions reduced under the influence of gravity. The reduction becomes prominent for the particle cloud at Stokes number S t η ≈ 1 , especially in the clusters of high particle number density. For large Stokes number S t η , the slip velocity significantly increases due to the particle gravity. Due to the gravity, the particle concentration reduces globally, particularly in the low vorticity regions. For the Stokes number range explored in this paper, gravity has a considerable impact on the particle-turbulence interaction.

Keywords: gravity effect; incompressible flow; particle-turbulence interaction; preferential concentration; stokes number (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2023
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