A Three-Dimensional Analytical Solution for the Study of Air Pollutant Dispersion in a Finite Layer

We present a closed-form analytical solution for the advection–diffusion equation, where the planetary boundary layer is divided into subdomains, where in each subdomain averaged values of eddy diffusivity and wind speed are assumed. The solution procedure combines an appropriate auxiliary eigenvalu...

Full description

Saved in:
Bibliographic Details
Published in:Boundary-layer meteorology 2015-05, Vol.155 (2), p.289-300
Main Authors: Marie, Ema’a Ema’a Jean, Hubert, Ben-Bolie Germain, Patrice, Ele Abiama, Zarma, Ali, Pierre, Owono Ateba
Format: Article
Language:English
Subjects:
Advection-diffusion equation
Air pollution
Atmospheric Protection/Air Quality Control/Air Pollution
Atmospheric Sciences
Boundary layer
Boundary layers
Convergence
Dispersion
Dispersions
Earth and Environmental Science
Earth Sciences
Eigenvalues
Finite element analysis
Finite layers
Mathematical analysis
Mathematical models
Meteorology
Planetary boundary layer
Pollutants
Pollution dispersion
Pollution studies
Three dimensional
Three dimensional imaging
Wind speed
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We present a closed-form analytical solution for the advection–diffusion equation, where the planetary boundary layer is divided into subdomains, where in each subdomain averaged values of eddy diffusivity and wind speed are assumed. The solution procedure combines an appropriate auxiliary eigenvalue problem with mathematical induction. A transcendental equation giving the eigenvalues for any numbers of subdomains is also developed. Convergence of the solution is numerically verified. The solution is used to evaluate the model against the Copenhagen experiment and computed results are in agreement with experimental ones.
ISSN:0006-8314
1573-1472
DOI:10.1007/s10546-014-9997-0