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Self-similar transport of inertial particles in a turbulent boundary layer

Published online by Cambridge University Press:  13 July 2012

G. Sardina ,
P. Schlatter ,
F. Picano ,
C. M. Casciola ,
L. Brandt  and
D. S. Henningson
G. Sardina*
Affiliation:
Linné FLOW Centre and SeRC (Swedish e-Science Research Centre), KTH Mechanics, SE-100 44 Stockholm, Sweden Facoltà di Ingegneria, Architettura e Scienze Motorie, UKE–Università Kore di Enna, 94100 Enna, Italy
P. Schlatter
Affiliation:
Linné FLOW Centre and SeRC (Swedish e-Science Research Centre), KTH Mechanics, SE-100 44 Stockholm, Sweden
F. Picano
Affiliation:
Linné FLOW Centre and SeRC (Swedish e-Science Research Centre), KTH Mechanics, SE-100 44 Stockholm, Sweden Dipartimento di Ingegneria Meccanica e Aerospaziale, Sapienza University of Rome, 00184 Rome, Italy
C. M. Casciola
Affiliation:
Dipartimento di Ingegneria Meccanica e Aerospaziale, Sapienza University of Rome, 00184 Rome, Italy
L. Brandt
Affiliation:
Linné FLOW Centre and SeRC (Swedish e-Science Research Centre), KTH Mechanics, SE-100 44 Stockholm, Sweden
D. S. Henningson
Affiliation:
Linné FLOW Centre and SeRC (Swedish e-Science Research Centre), KTH Mechanics, SE-100 44 Stockholm, Sweden
*
†Email address for correspondence: gaetano@mech.kth.se
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Abstract

Results are presented from a direct numerical simulation of a particle-laden spatially developing turbulent boundary layer up to . The peculiar feature of a boundary-layer flow seeded with heavy particles is the variation of the local dimensionless parameters defining the fluid–particle interactions along the streamwise direction. Two different Stokes numbers can be defined, one using inner flow units and the other with outer units. Since these two Stokes numbers exhibit different decay rates in the streamwise direction, we find a decoupled particle dynamics between the inner and the outer region of the boundary layer. Preferential near-wall particle accumulation is similar to that observed in turbulent channel flow, while different behaviour characterizes the outer region. Here the concentration and the streamwise velocity profiles are found to be self-similar and to depend only on the local value of the outer Stokes number and the rescaled wall-normal distance. These new results are powerful in view of engineering and environmental applications and corresponding flow modelling.

JFM classification

Boundary Layers: Boundary Layers Multiphase and Particle-laden Flows: Multiphase and Particle-laden Flows Turbulent Flows: Turbulent Flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 706 , 10 September 2012 , pp. 584 - 596
Copyright
Copyright © Cambridge University Press 2012

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