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...

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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
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creator Marie, Ema’a Ema’a Jean
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description 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.
doi_str_mv 10.1007/s10546-014-9997-0
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source Springer Nature:Jisc Collections:Springer Nature Read and Publish 2023-2025: Springer Reading List
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
title A Three-Dimensional Analytical Solution for the Study of Air Pollutant Dispersion in a Finite Layer
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