Point-source inertial particle dispersion

• Type: Article in International Scientific Journal
• Date: 2011

Authors

Afonso, MM (Author) Other; Mazzino, A (Author) Other

Journal

Title: Geophysical and Astrophysical Fluid Dynamics

Vol. 105

Pages: 553-565

ISSN: 0309-1929

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 7 Citations

Scopus - 9 Citations

Other information

Authenticus ID: P-00N-NM1

DOI: 10.1080/03091929.2010.529078

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 13