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Wall accumulation and spatial localization in particle-laden wall flows

Published online by Cambridge University Press:  05 April 2012

G. Sardina ,
P. Schlatter ,
L. Brandt ,
F. Picano  and
C. M. Casciola
G. Sardina
Affiliation:
Dipartimento di Ingegneria Meccanica e Aerospaziale, Sapienza University of Rome, 00184 Rome, Italy
P. Schlatter
Affiliation:
Linné FLOW Center, KTH Mechanics, SE-100 44 Stockholm, Sweden
L. Brandt
Affiliation:
Linné FLOW Center, KTH Mechanics, SE-100 44 Stockholm, Sweden
F. Picano
Affiliation:
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
*
†Email address for correspondence: carlomassimo.casciola@uniroma1.it
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Abstract

We study the two main phenomenologies associated with the transport of inertial particles in turbulent flows, turbophoresis and small-scale clustering. Turbophoresis describes the turbulence-induced wall accumulation of particles dispersed in wall turbulence, while small-scale clustering is a form of local segregation that affects the particle distribution in the presence of fine-scale turbulence. Despite the fact that the two aspects are usually addressed separately, this paper shows that they occur simultaneously in wall-bounded flows, where they represent different aspects of the same process. We study these phenomena by post-processing data from a direct numerical simulation of turbulent channel flow with different populations of inertial particles. It is shown that artificial domain truncation can easily alter the mean particle concentration profile, unless the domain is large enough to exclude possible correlation of the turbulence and the near-wall particle aggregates. The data show a strong link between accumulation level and clustering intensity in the near-wall region. At statistical steady state, most accumulating particles aggregate in strongly directional and almost filamentary structures, as found by considering suitable two-point observables able to extract clustering intensity and anisotropy. The analysis provides quantitative indications of the wall-segregation process as a function of the particle inertia. It is shown that, although the most wall-accumulating particles are too heavy to segregate in homogeneous turbulence, they exhibit the most intense local small-scale clustering near the wall as measured by the singularity exponent of the particle pair correlation function.

JFM classification

Multiphase and Particle-laden Flows: Particle/fluid flow Turbulent Flows: Turbulence simulation Mixing: Turbulent mixing
Type
Papers
Information
Journal of Fluid Mechanics , Volume 699 , 25 May 2012 , pp. 50 - 78
Copyright
Copyright © Cambridge University Press 2012

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