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Exact regularised point particle (ERPP) method for particle-laden wall-bounded flows in the two-way coupling regime

Published online by Cambridge University Press:  10 September 2019

F. Battista Open the ORCID record for F. Battista [Opens in a new window] ,
J.-P. Mollicone Open the ORCID record for J.-P. Mollicone [Opens in a new window] ,
P. Gualtieri Open the ORCID record for P. Gualtieri [Opens in a new window] ,
R. Messina  and
C. M. Casciola Open the ORCID record for C. M. Casciola [Opens in a new window]
F. Battista*
Affiliation:
ENEA, Italian Agency for New Technologies, Energy and Sustainable Economic Development, Via Anguillarese 301, 00123 Rome, Italy
J.-P. Mollicone
Affiliation:
Department of Civil and Environmental Engineering, Imperial College London, London SW7 2AZ, UK
P. Gualtieri
Affiliation:
Department of Mechanical and Aerospace Engineering, Sapienza University of Rome, Via Eudossiana 18, 00184 Rome, Italy
R. Messina
Affiliation:
Department of Mechanical and Aerospace Engineering, Sapienza University of Rome, Via Eudossiana 18, 00184 Rome, Italy
C. M. Casciola
Affiliation:
Department of Mechanical and Aerospace Engineering, Sapienza University of Rome, Via Eudossiana 18, 00184 Rome, Italy
*
†Email address for correspondence: francesco.battista@uniroma1.it
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Abstract

The exact regularised point particle (ERPP) method is extended to treat the inter-phase momentum coupling between particles and fluid in the presence of walls by accounting for vorticity generation due to particles close to solid boundaries. The ERPP method overcomes the limitations of other methods by allowing the simulation of an extensive parameter space (Stokes number, mass loading, particle-to-fluid density ratio and Reynolds number) and of particle spatial distributions that are uneven (few particles per computational cell). The enhanced ERPP method is explained in detail and validated by considering the global impulse balance. In conditions when particles are located close to the wall, a common scenario in wall-bounded turbulent flows, the main contribution to the total impulse arises from the particle-induced vorticity at the solid boundary. The method is applied to direct numerical simulations of particle-laden turbulent pipe flow in the two-way coupling regime to address turbulence modulation. The effects of the mass loading, the Stokes number and the particle-to-fluid density ratio are investigated. The drag is either unaltered or increased by the particles with respect to the uncoupled case. No drag reduction is found in the parameter space considered. The momentum stress budget, which includes an extra stress contribution by the particles, provides the rationale behind the drag behaviour. The extra stress produces a momentum flux towards the wall that strongly modifies the viscous stress, the culprit of drag at solid boundaries.

JFM classification

Multiphase and Particle-laden Flows: Particle/fluid flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 878 , 10 November 2019 , pp. 420 - 444
Copyright
© 2019 Cambridge University Press 

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