2017/03/31 by Jan Meibohm, J. Meibohm, L. Pistone +2 · 17 citations
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Aeolian processes and effects #Classical mechanics #Distribution (mathematics) #Distribution function #Exponent #Fluid Dynamics and Turbulent Flows #Inertia #Mathematical analysis #Mathematics #Mechanics #Particle Dynamics in Fluid Flows #Physics #Power law #Reynolds number #Statistical physics #Statistics #Stokes flow #Stokes number #Stokes' law #Thermodynamics #Turbulence #physics.flu-dyn
paper · pdf · doi:10.1103/physreve.96.061102
published in Physical review. E 96(6), 061102 (American Physical Society) · revised version, 6 pages, 2 figures, supplemental material
arxiv created 2017/07/18 · openalex publication_date 2017/12/14 · arxiv updated 2017/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We investigate the distribution of relative velocities between small heavy particles of different sizes in turbulence by analyzing a statistical model for bidisperse turbulent suspensions, containing particles with two different Stokes numbers. This number, St, is a measure of particle inertia which in turn depends on particle size. When the Stokes numbers are similar, the distribution exhibits power-law tails, just as in the case of equal St. The power-law exponent is a nonanalytic function of the mean Stokes number St[over ¯], so that the exponent cannot be calculated in perturbation theory around the advective limit. When the Stokes-number difference is larger, the power law disappears, but the tails of the distribution still dominate the relative-velocity moments, if St[over ¯] is large enough.