Anomalous diffusion for inertial particles under gravity in parallel flows

Abstract

We investigate the bounds between normal or anomalous effective diffusion for inertial particles transported by parallel flows. The infrared behavior of the fluid kinetic-energy spectrum, i.e. the possible presence of long-range spatio-temporal correlations, is modeled as a power law by means of two parameters, and the problem is studied as a function of these latter. Our results, obtained in the limit of weak relative inertia, extend well-known results for tracers and apply to particles of any mass density, subject to gravity and Brownian diffusion. We consider both steady and time-dependent flows, and cases of both vanishing and finite particle sedimentation.

5 figures

References in corpus (2)

• Anomalous Diffusion of Inertial, Weakly Damped Particles
• Multiple-scale analysis and renormalization for pre-asymptotic scalar transport

Cited by in corpus (1)

• Anomalous scaling of passive scalar fields advected by the Navier-Stokes velocity ensemble: Effects of strong compressibility and large-scale anisotropy