Point-source dispersion of quasi-neutrally-buoyant inertial particles
Centro de Matemática da Universidade do Porto, Rua do Campo Alegre 687, 4169-007, Porto, Portugal
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Accepted: 4 January 2019
Published online: 29 January 2019
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.
Key words: Topical issue: Flowing Matter, Problems and Applications
© EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature, 2019