Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Lagrangian acceleration statistics in a turbulent channel flow

Nickolas Stelzenmuller1, Juan Ignacio Polanco2, Laure Vignal1, Ivana Vinkovic2, and Nicolas Mordant1,*

  • 1Laboratoire des Ecoulements Géophysiques et Industriels, Université Grenoble Alpes & CNRS, Domaine Universitaire, CS 40700, F-38058 Grenoble, France
  • 2Laboratoire de Mécanique des Fluides et d'Acoustique, UMR 5509, Ecole Centrale de Lyon, CNRS, Université Claude Bernard Lyon 1, INSA Lyon, 36 av. Guy de Collongue, F-69134 Ecully, France

  • *nicolas.mordant@univ-grenoble-alpes.fr

Phys. Rev. Fluids 2, 054602 – Published 2 May, 2017

DOI: https://doi.org/10.1103/PhysRevFluids.2.054602

Abstract

Lagrangian acceleration statistics in a fully developed turbulent channel flow at Reτ=1440 are investigated, based on tracer particle tracking in experiments and direct numerical simulations. The evolution with wall distance of the Lagrangian velocity and acceleration time scales is analyzed. Dependency between acceleration components in the near-wall region is described using cross-correlations and joint probability density functions. The strong streamwise coherent vortices typical of wall-bounded turbulent flows are shown to have a significant impact on the dynamics. This results in a strong anisotropy at small scales in the near-wall region that remains present in most of the channel. Such statistical properties may be used as constraints in building advanced Lagrangian stochastic models to predict the dispersion and mixing of chemical components for combustion or environmental studies.

Physics Subject Headings (PhySH)

Article Text

References (38)

  1. P. Sagaut, Large Eddy Simulation for Incompressible Flows: An Introduction, 3rd ed. (Springer, Berlin, 2006).
  2. S. B. Pope, PDF methods for turbulent reactive flows, Prog. Energy Combust. Sci. 11, 119 (1985).
  3. R. Zamansky, I. Vinkovic, and M. Gorokhovski, Acceleration in turbulent channel flow: Universalities in statistics, subgrid stochastic models and an application, J. Fluid Mech. 721, 627 (2013).
  4. S. B. Pope, Lagrangian PDF methods for turbulent flows, Ann. Rev. Fluid Mech. 26, 23 (1994).
  5. G. I. Taylor, Diffusion by continuous movements, Proc Lond. Math. Soc. s2-20, 196 (1922).
  6. B. L. Sawford, Reynolds number effects in Lagrangian stochastic models of turbulent dispersion, Phys. Fluids A 3, 1577 (1991).
  7. S. B. Pope, Stochastic Lagrangian models of velocity in homogeneous turbulent shear flow, Phys. Fluids 14, 1696 (2002).
  8. A. La Porta, G. A. Voth, A. M. Crawford, J. Alexander, and E. Bodenschatz, Fluid particle accelerations in fully developed turbulence, Nature (London) 409, 1017 (2001).
  9. S. B. Pope and Y. L. Chen, The velocity-dissipation probability density function model for turbulent flows, Phys. Fluids A 2, 1437 (1990).
  10. C. Beck, Dynamical Foundations of Nonextensive Statistical Mechanics, Phys. Rev. Lett. 87, 180601 (2001).
  11. A. M. Reynolds, On the application of nonextensive statistics to Lagrangian turbulence, Phys. Fluids 15, L1 (2003).
  12. N. Mordant, J. Delour, E. Lévêque, A. Arnéodo, and J.-F. Pinton, Long Time Correlations in Lagrangian Dynamics: A Key to Intermittency in Turbulence, Phys. Rev. Lett. 89, 254502 (2002).
  13. J.-I. Choi, K. Yeo, and C. Lee, Lagrangian statistics in turbulent channel flow, Phys. Fluids 16, 779 (2004).
  14. L. Chen, S. W. Coleman, J. C. Vassilicos, and Z. Hu, Acceleration in turbulent channel flow, J. Turbulence 11, N41 (2010).
  15. R. J. E. Walpot, C. W. M. van der Geld, and J. G. M. Kuerten, Determination of the coefficients of Langevin models for inhomogeneous turbulent flows by three-dimensional particle tracking velocimetry and direct numerical simulation, Phys. Fluids 19, 045102 (2007).
  16. L. Del Castello and H. J. H. Clercx, Lagrangian Acceleration of Passive Tracers in Statistically Steady Rotating Turbulence, Phys. Rev. Lett. 107, 214502 (2011).
  17. S. Gerashchenko, N. S. Sharp, S. Neuscamman, and Z. Warhaft, Lagrangian measurements of inertial particle accelerations in a turbulent boundary layer, J. Fluid Mech. 617, 255 (2008).
  18. A. Taniére, B. Arcen, B. Oesterlé, and J. Pozorski, Study on Langevin model parameters of velocity in turbulent shear flows, Phys. Fluids 22, 115101 (2010).
  19. J. G. M. Kuerten and J. J. H. Brouwers, Lagrangian statistics of turbulent channel flow at Reτ=950 calculated with direct numerical simulation and Langevin models, Phys. Fluids 25, 105108 (2013).
  20. A. J. Smits, B. J. McKeon, and I. Marusic, High Reynolds number wall turbulence, Annu. Rev. Fluid Mech. 43, 353 (2011).
  21. C. Lee, K. Yeo, and J.-I. Choi, Intermittent Nature of Acceleration in Near Wall Turbulence, Phys. Rev. Lett. 92, 144502 (2004).
  22. N. T. Ouellette, H. Xu, and E. Bodenschatz, A quantitative study of three-dimensional Lagrangian particle tracking algorithms, Exp. Fluids 40, 301 (2006).
  23. N. Mordant, A. M. Crawford, and E. Bodenschatz, Experimental Lagrangian acceleration probability density function measurement, Physica D 193, 245 (2004).
  24. M. Buffat, L. Le Penven, and A. Cadiou, An efficient spectral method based on an orthogonal decomposition of the velocity for transition analysis in wall bounded flow, Comput. Fluids 42, 62 (2011).
  25. S. A. Orszag, On the elimination of aliasing in finite-difference schemes by filtering high-wavenumber components, J. Atmos. Sci. 28, 1074 (1971).
  26. M. A. T. van Hinsberg, J. H. M. ten Thije Boonkkamp, F. Toschi, and H. J. H. Clercx, Optimal interpolation schemes for particle tracking in turbulence, Phys. Rev. E 87, 043307 (2013).
  27. Z. Hu, C. L. Morfey, and N. D. Sandham, Wall pressure and shear stress spectra from direct simulations of channel flow, AIAA J. 44, 1541 (2006).
  28. L. H. Benedict and R. D. Gould, Towards better uncertainty estimates for turbulence statistics, Exp. Fluids 22, 129 (1996).
  29. R. J. Moffat, Describing the uncertainties in experimental results, Exp. Therm Fluid Sci. 1, 3 (1988).
  30. K. Yeo, B.-G. Kim, and C. Lee, On the near-wall characteristics of acceleration in turbulence, J. Fluid Mech. 659, 405 (2010).
  31. N. Mordant, E. Lévêque, and J.-F. Pinton, Experimental and numerical study of the Lagrangian dynamics of high Reynolds turbulence, New J. Phys. 6, 116 (2004).
  32. F. Toschi, L. Biferale, G. Boffetta, A. Celani, B. J. Devenish, and A. Lanotte, Acceleration and vortex filaments in turbulence, J. Turbulence 6, N15 (2005).
  33. A. Pumir and B. I. Shraiman, Persistent Small Scale Anisotropy in Homogeneous Shear Flows, Phys. Rev. Lett. 75, 3114 (1995).
  34. A. N. Kolmogorov, The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers, Dokl. Akad. Nauk SSSR 30, 301 (1941).
  35. A. Pumir, H. Xu, and E. D. Siggia, Small-scale anisotropy in turbulent boundary layers, J. Fluid Mech. 804, 5 (2016).
  36. P. K. Yeung and S. B. Pope, Lagrangian statistics from direct numerical simulations of isotropic turbulence, J. Fluid Mech. 207, 531 (1989).
  37. N. Mordant, A. M. Crawford, and E. Bodenschatz, Three-Dimensional Structure of the Lagrangian Acceleration in Turbulent Flows, Phys. Rev. Lett. 93, 214501 (2004).
  38. V. Sabel'nikov, A. Chtab-Desportes, and M. Gorokhovski, New sub-grid stochastic acceleration model in LES of high-Reynolds-number flows, Eur. Phys. J. B 80, 177 (2011).

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation