Turbophoresis in forced inhomogeneous turbulence

Dhrubaditya Mitra, Nils Erland L. Haugen, Igor Rogachevskii

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


We show, by direct numerical simulations, that heavy inertial particles (characterized by Stokes number St) in inhomogeneously forced statistically stationary isothermal turbulent flows cluster at the minima of mean-square turbulent velocity. Two turbulent transport processes, turbophoresis and turbulent diffusion together determine the spatial distribution of the particles. If the turbulent diffusivity is assumed to scale with turbulent root-mean-square velocity, as is the case for homogeneous turbulence, the turbophoretic coefficient can be calculated. Indeed, for the above assumption, the non-dimensional product of the turbophoretic coefficient and the rms velocity is shown to increase with St for small St, reach a maxima for St ≈ 10 and decrease as ∼ St - 0. 33 for large St.

Original languageEnglish
Article number35
JournalEuropean Physical Journal Plus
Issue number2
StatePublished - 1 Feb 2018

ASJC Scopus subject areas

  • General Physics and Astronomy


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