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

@article{MartinsAfonso2019PointsourceDO, title={Point-source dispersion of quasi-neutrally-buoyant inertial particles}, author={Marco Martins Afonso and S{\'i}lvio M. A. Gama}, journal={The European Physical Journal E}, year={2019}, volume={42}, pages={1-8} }

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…

## References

SHOWING 1-10 OF 62 REFERENCES

### Inertial-particle dispersion and diffusion

- Mathematics, Physics
- 2011

We analytically investigate the dynamics of inertial particles in incompressible flows in the limit of small but finite inertia, focusing on two specific instances. First, we study the concentration…

### Eddy diffusivity of quasi-neutrally-buoyant inertial particles

- Physics
- 2017

We investigate the large-scale transport properties of quasi-neutrally-buoyant inertial particles carried by incompressible zero-mean periodic or steady ergodic flows. We show how to compute…

### Point-source inertial particle dispersion

- Physics
- 2009

The dispersion of inertial particles continuously emitted from a point source is analytically investigated in the limit of small but finite inertia. Our focus is on the evolution equation of the…

### Eddy diffusivities of inertial particles under gravity

- PhysicsJournal of Fluid Mechanics
- 2012

Abstract The large-scale/long-time transport of inertial particles of arbitrary mass density under gravity is investigated by means of a formal multiple-scale perturbative expansion in the…

### Instabilities in the dynamics of neutrally buoyant particles

- Physics
- 2008

The asymptotic dynamics of finite-size particles is governed by a slow manifold that is globally attracting for sufficiently small Stokes numbers. For neutrally buoyant particles (suspensions), the…

### The terminal velocity of sedimenting particles in a flowing fluid

- Physics
- 2007

The influence of an underlying carrier flow on the terminal velocity of sedimenting particles is investigated both analytically and numerically. Our theoretical framework works for a general class of…

### On probability density function equations for particle dispersion in a uniform shear flow

- PhysicsJournal of Fluid Mechanics
- 2005

The paper examines a fundamental discrepancy between two probability density function (PDF) models, the kinetic model (KM) and generalized Langevin model (GLM), currently used to model the dispersion…

### On the Lagrangian turbulent dispersion models based on the Langevin equation

- Physics, Environmental Science
- 1998

### Intermittent distribution of inertial particles in turbulent flows.

- Physics, Environmental SciencePhysical review letters
- 2001

It is shown that the statistics of these fluctuations is independent of details of the velocity statistics, which allows us to predict that the particles cluster on the viscous scale of turbulence and describe the probability distribution of concentration fluctuations.