Detection of turbulent thermal diffusion of particles in numerical simulations

Nils Erland L. Haugen, Nathan Kleeorin, Igor Rogachevskii, Axel Brandenburg

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


The phenomenon of turbulent thermal diffusion in temperature-stratified turbulence causing a non-diffusive turbulent flux (i.e.non-counter-gradient transport) of inertial and non-inertial particles in the direction of the turbulent heat flux is found using direct numerical simulations (DNS). In simulations with and without gravitythis phenomenon is found to cause a peak in the particle number density around the minimum of the mean fluid temperature for Stokes numbers less than 1where the Stokes number is the ratio of particle Stokes time to turbulent Kolmogorov time at the viscous scale. Turbulent thermal diffusion causes the formation of inhomogeneities in the spatial distribution of inertial particles whose scale is large in comparison with the integral scale of the turbulence. The strength of this effect is maximum for Stokes numbers around unityand decreases again for larger values. The dynamics of inertial particles is studied using Lagrangian modelling in forced temperature-stratified turbulencewhereas non-inertial particles and the fluid are described using DNS in an Eulerian framework.

Original languageEnglish
Article number075106
JournalPhysics of Fluids
Issue number7
StatePublished - 10 Jul 2012

ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes


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