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

. 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...

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Bibliographic Details
Published in:The European physical journal. E, Soft matter and biological physics Soft matter and biological physics, 2019-01, Vol.42 (1), p.10-8, Article 10
Main Authors: Martins Afonso, Marco, Gama, Sílvio M. A.
Format: Article
Language:English
Subjects:
Biological and Medical Physics
Biophysics
Complex Fluids and Microfluidics
Complex Systems
Computational fluid dynamics
Condensed matter physics
Flowing Matter
Fluid flow
Incompressible flow
Nanotechnology
Particle inertia
Physics
Physics and Astronomy
Polymer Sciences
Problems and Applications
Regular Article
Soft and Granular Matter
Surfaces and Interfaces
Thin Films
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Summary:. 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. Graphical abstract
ISSN:1292-8941
1292-895X
DOI:10.1140/epje/i2019-11771-5