Point-source inertial particle dispersion

By M. Afonso, A. Mazzino. 2009

152 citations recorded by the source corpus.

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 particle joint probability density function p(x, v, t), x and v being the particle position and velocity, respectively. For arbitrary inertia, position and velocity variables are coupled, with the result that p(x, v, t) can be determined by solving a partial differential equation in a 2d-dimensional space, d being the physical-space dimensionality. For small (but nevertheless finite) inertia, (x, v)-variables decouple and the determination of p(x, v, t) is reduced to solve a system of two standard forced advection–diffusion equations in the space variables x. The latter equations are derived here from first principles, i.e., from the well-known Lagrangian evolution equations for position and particle velocity.

Subfields: Earth-Surface Processes, Environmental Engineering, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/b0921204afeb6c20f6439cff2dee6e73d9914fe0

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In Earth-Surface Processes

In Environmental Engineering

In Ocean Engineering

Citations in the corpus

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On aeolian transport: Grain-scale interactions, dynamical mechanisms and scaling laws (2011, background): “The shear stress phase shift vanishes for asymptotically small z0/k and gently increases with ln(z0/k) (Fourrière et al., 2010).”
Noise-Induced Phenomena in the Environmental Sciences (2011, background): “, Krueger and Fritz, 1961), dunes and ripples (e.g., Elbelrhiti et al., 2005; Colombini and Stocchino, 2008; Seminara, 2010; Fourriere et al., 2010), frost boils (Gleason et al.”
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