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

• Published in: Journal of fluid mechanics 2012-09, Vol.706, p.584-596
• Main Authors: Sardina, G., Schlatter, P., Picano, F., Casciola, C. M., Brandt, L., Henningson, D. S.
• Format: Article
• Language: English
• Subjects: Boundary layer; Boundary layer and shear turbulence; Boundary layers; Channel flow; Computational fluid dynamics; Exact sciences and technology; Fluid dynamics; Fluid flow; Fluid mechanics; Fundamental areas of phenomenology (including applications); Inertial; Multiphase and particle-laden flows; Nonhomogeneous flows; Physics; Self-similarity; Stokes number; Turbulence; Turbulence models; Turbulent boundary layer; Turbulent flow; Turbulent flows, convection, and heat transfer
• ISSN: 0022-1120; 1469-7645
• DOI: 10.1017/jfm.2012.290

Results are presented from a direct numerical simulation of a particle-laden spatially developing turbulent boundary layer up to ${\mathit{Re}}_{\theta } = 2500$ . 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.