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arXiv · 1804.00186

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

Marco Martins Afonso·Sílvio M. A. Gama
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Abstract

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 as 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.

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Marco Martins Afonso, Sílvio M. A. Gama. 2018-03-31. Point-source dispersion of quasi-neutrally-buoyant inertial particles. https://doi.org/10.1140/epje%2Fi2019-11771-5

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