Point-source dispersion of quasi-neutrally-buoyant inertial particles

Eur Phys J E Soft Matter. 2019 Jan 29;42(1):10. doi: 10.1140/epje/i2019-11771-5.


We analyze the evolution of the distribution, both in the phase space and in the physical space, of inertial particles released by a spatially-localized (punctual) source and advected by an incompressible flow. The difference in mass density between fluid and particles is assumed to be small, and represents the basic parameter for a regular perturbative expansion. By means of analytical techniques such as Hermitianization, we derive a chain of equations of the advection-diffusion-reaction type, easily solvable at least numerically. Our procedure provides results also for finite particle inertia, away from the over-damped limit of quasi-tracer dynamics.

Keywords: Topical issue: Flowing Matter, Problems and Applications.