Skip to main content
×
Home
    • Aa
    • Aa

Wall accumulation and spatial localization in particle-laden wall flows

  • G. Sardina (a1), P. Schlatter (a2), L. Brandt (a2), F. Picano (a1) and C. M. Casciola (a1)...
Abstract
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.

Copyright
Corresponding author
Email address for correspondence: carlomassimo.casciola@uniroma1.it
Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

1.J. del Álamo & J. Jiménez 2003 Spectra of the very large anisotropic scales in turbulent channels. Phys. Fluids 15, L41.

2.S. Ayyalasomayajula , A. Gylfason , L. R. Collins , E. Bodenschatz & Z. Warhaft 2006 Lagrangian measurements of inertial particle accelerations in grid generated wind tunnel turbulence. Phys. Rev. Lett. 97 (14), 144507.

3.S. Balachandar & J. K. Eaton 2010 Turbulent dispersed multiphase flow. Annu. Rev. Fluid Mech. 42, 111133.

4.J. Bec , L. Biferale , M. Cencini , A. Lanotte , S. Musacchio & F. Toschi 2007 Heavy particle concentration in turbulence at dissipative and inertial scales. Phys. Rev. Lett. 98 (8), 84502.

5.E. Calzavarini , M. Cencini , D. Lohse & F. Toschi 2008 Quantifying turbulence-induced segregation of inertial particles. Phys. Rev. Lett. 101 (8), 84504.

7.M. Caporaloni , F. Tampieri , F. Trombetti & O. Vittori 1975 Transfer of particles in nonisotropic air turbulence. J. Atmos. Sci. 32 (3), 565568.

8.C. M. Casciola , P. Gualtieri , B. Jacob & R. Piva 2005 Scaling properties in the production range of shear dominated flows. Phys. Rev. Lett. 95 (2), 024503.

9.C. M. Casciola , P. Gualtieri , B. Jacob & R. Piva 2007 The residual anisotropy at small scales in high shear turbulence. Phys. Fluids 19, 101704.

10.S. Cerbelli , A. Giusti & A. Soldati 2001 ADE approach to predicting dispersion of heavy particles in wall-bounded turbulence. Intl J. Multiphase Flow 27 (11), 18611879.

12.S. W. Coleman & J. C. Vassilicos 2009 A unified sweep–stick mechanism to explain particle clustering in two- and three-dimensional homogeneous, isotropic turbulence. Phys. Fluids 21, 113301.

13.J. K. Eaton & J. R. Fessler 1994 Preferential concentration of particles by turbulence. Intl J. Multiphase Flow 20, 169209.

14.T. Elperin , N. Kleeorin & I. Rogachevskii 1996 Self-excitation of fluctuations of inertial particle concentration in turbulent fluid flow. Phys. Rev. Lett. 77 (27), 53735376.

15.J. R. Fessler , J. D. Kulick & J. K. Eaton 1994 Preferential concentration of heavy particles in a turbulent channel flow. Phys. Fluids 6, 3742.

17.S. Goto & J. C. Vassilicos 2008 Sweep–stick mechanism of heavy particle clustering in fluid turbulence. Phys. Rev. Lett. 100 (5), 54503.

19.D. Kaftori , G. Hetsroni & S. Banerjee 1995a Particle behaviour in the turbulent boundary layer. I. Motion, deposition, and entrainment. Phys. Fluids 7 (5), 10951106.

22.Y. Li , J. B. McLaughlin , K. Kontomaris & L. Portela 2001 Numerical simulation of particle-laden turbulent channel flow. Phys. Fluids 13, 2957.

24.C. Marchioli , A. Soldati , J. G. M. Kuerten , B. Arcen , A. Taniere , G. Goldensoph , K. D. Squires , M. F. Cargnelutti & L. M. Portela 2008 Statistics of particle dispersion in direct numerical simulations of wall-bounded turbulence: results of an international collaborative benchmark test. Intl J. Multiphase Flow 34 (9), 879893.

25.M. R. Maxey & J. J. Riley 1983 Equation of motion for a small rigid sphere in a nonuniform flow. Phys. Fluids 26, 883.

26.B. Mehlig , M. Wilkinson , K. Duncan , T. Weber & M. Ljunggren 2005 Aggregation of inertial particles in random flows. Phys. Rev. E 72 (5), 051104.

27.R. Monchaux , M. Bourgoin & A. Cartellier 2010 Preferential concentration of heavy particles: a Voronoï analysis. Phys. Fluids 22, 103304.

28.R. D. Moser , J. Kim & N. N. Mansour 1999 Direct numerical simulation of turbulent channel flow up to ${\mathit{Re}}_{\tau } = 590$. Phys. Fluids 11, 943.

30.Y. Pan & S. Banerjee 1996 Numerical simulation of particle interactions with wall turbulence. Phys. Fluids 8, 2733.

31.F. Picano , G. Sardina & C. M. Casciola 2009 Spatial development of particle-laden turbulent pipe flow. Phys. Fluids 21 (9), 3305.

32.M. Picciotto , C. Marchioli & A. Soldati 2005 Characterization of near-wall accumulation regions for inertial particles in turbulent boundary layers. Phys. Fluids 17, 098101.

33.M. W. Reeks 1983 The transport of discrete particles in inhomogeneous turbulence. J. Aerosol Sci. 14 (6), 729739.

36.G. Sardina , F. Picano , P. Schlatter , L. Brandt & C. M. Casciola 2011 Large scale accumulation patterns of inertial particles in wall-bounded turbulent flow. Flow Turbul. Combust. 86 (3–4), 519532.

37.B. Shotorban & S. Balachandar 2006 Particle concentration in homogeneous shear turbulence simulated via Lagrangian and equilibrium Eulerian approaches. Phys. Fluids 18, 065105.

40.F. Toschi & E. Bodenschatz 2009 Lagrangian properties of particles in turbulence. Annu. Rev. Fluid Mech. 41, 375404.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax

Keywords: