The effect of stable stratification on fluid particle dispersion

  • M. van Aartrijk
  • H. J. H. Clercx
Conference paper
Part of the ERCOFTAC Series book series (ERCO, volume 11)

Abstract

The dispersion of fluid particles in statistically stationary stably stratified turbulence is studied by means of direct numerical simulations. Due to anisotropy of the flow, horizontal and vertical dispersion show different behavior. Single-particle dispersion in horizontal direction is similar to that in isotropic turbulence for short times, but shows a long-time growth rate larger than ∝ t. In vertical direction three successive regimes can be identified: a classical t 2-regime, a plateau which scales as N −2 and a diffusion limit ∝ t. By forcing the flow and performing long-time simulations we were able to observe this last regime, which was predicted but not observed before in purely stratified forced turbulence. A model based on the assumed shape of the velocity autocorrelation function correctly predicts these three regimes. The vertical mean-squared separation of particle pairs shows two plateaus that are not present in isotropic turbulence. They can be linked with characteristics of the flow. Also here the diffusion limit is found.

Keywords

Vortex Anisotropy Autocorrelation Hunt Pyramid 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Kimura Y, Herring JR (1996) J Fluid Mech 328:253–269CrossRefGoogle Scholar
  2. [2]
    Liechtenstein L, Godeferd FS, Cambon C (2005) J Turb 6(24):1–18CrossRefGoogle Scholar
  3. [3]
    Nicolleau F, Vassilicos JC (2000) J Fluid Mech 410:123–146CrossRefGoogle Scholar
  4. [4]
    Pearson HJ, Puttock JS, Hunt JCR (1983) J Fluid Mech 129:219–249CrossRefGoogle Scholar
  5. [5]
    Riley JJ, Lelong MP (2000) Annu Rev Fluid Mech 32:613–657CrossRefGoogle Scholar
  6. [6]
    Herring JR, Métais O (1989) J Fluid Mech 202:97–115CrossRefGoogle Scholar
  7. [7]
    Waite ML, Bartello P (2004) J Fluid Mech 517:281–308CrossRefGoogle Scholar
  8. [8]
    Lindborg E (2006) J Fluid Mech 550:207–242CrossRefGoogle Scholar
  9. [9]
    Mazzitelli IM, Lohse D (2004) New J Phys 6:203CrossRefGoogle Scholar
  10. [10]
    Bourgoin M, Ouellette NT, Xu H, Berg J, Bodenschatz E (2006) Science 311:835–838CrossRefGoogle Scholar
  11. [11]
    Csanady GT (1964) J Atm Sci 21:439–447CrossRefGoogle Scholar
  12. [12]
    Das SK, Durbin PA (2005) Phys Fluids 17:025109CrossRefGoogle Scholar
  13. [13]
    Winters KB, MacKinnon JA, and Mills B (2004) J Atm Oc Tech 21:69CrossRefGoogle Scholar
  14. [14]
    Kaneda Y, Ishida T (2000) J Fluid Mech 402:311–327CrossRefGoogle Scholar
  15. [15]
    Yeung PK (2002) Annu Rev Fluid Mech 34:115–142CrossRefGoogle Scholar
  16. [16]
    Sawford B (2001) Annu Rev Fluid Mech 33:289–317CrossRefGoogle Scholar

Copyright information

© Springer 2007

Authors and Affiliations

  • M. van Aartrijk
    • 1
  • H. J. H. Clercx
    • 1
  1. 1.Fluid Dynamics LaboratoryEindhoven University of TechnologyThe Netherlands

Personalised recommendations