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Session: Transport and mixing 1

Session starts: Wednesday 26 August, 13:30

Presentation starts: 14:30

Room: Room I

*Marco Martins Afonso ()*

Andrea Mazzino (DICCA-UNIGE, CINFAI & INFN)

Abstract:

We perform an analytical study of the inertial-particle dynamics in the limit of small but finite inertia, in incompressible flows, exploring their diffusion process. By means of a multiscale expansion, we analyse the particle effective diffusivity, and in particular its dependence on relative inertia, Brownian diffusivity, gravity, and particle-to-fluid density ratio (i.e. added mass). We obtain forced advection-diffusion equations for auxiliary quantities in the physical space, thus simplifying the problem from the full phase space to a system which can easily be solved numerically. In the case of parallel flows with power-law velocity spectra, we identify some cases of anomalous diffusion, according to the values of the exponents connected to the possible presence of long-range spatio-temporal correlations.

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*Marco Martins Afonso, Andrea Mazzino*

14:30

15 mins

Effective and anomalous diffusion of inertial particles in flowing fluids
15 mins

Session starts: Wednesday 26 August, 13:30

Presentation starts: 14:30

Room: Room I

Andrea Mazzino (DICCA-UNIGE, CINFAI & INFN)

Abstract:

We perform an analytical study of the inertial-particle dynamics in the limit of small but finite inertia, in incompressible flows, exploring their diffusion process. By means of a multiscale expansion, we analyse the particle effective diffusivity, and in particular its dependence on relative inertia, Brownian diffusivity, gravity, and particle-to-fluid density ratio (i.e. added mass). We obtain forced advection-diffusion equations for auxiliary quantities in the physical space, thus simplifying the problem from the full phase space to a system which can easily be solved numerically. In the case of parallel flows with power-law velocity spectra, we identify some cases of anomalous diffusion, according to the values of the exponents connected to the possible presence of long-range spatio-temporal correlations.