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

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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 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.

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Authors and Affiliations

  1. Centro de Matemática da Universidade do Porto, Rua do Campo Alegre 687, 4169-007, Porto, Portugal

    Marco Martins Afonso & Sílvio M. A. Gama

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  1. Marco Martins Afonso
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  2. Sílvio M. A. Gama
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Correspondence to Marco Martins Afonso.

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Martins Afonso, M., Gama, S.M.A. Point-source dispersion of quasi-neutrally-buoyant inertial particles. Eur. Phys. J. E 42, 10 (2019). https://doi.org/10.1140/epje/i2019-11771-5

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