Evaluation of analytical solution of advection diffusion equation in three dimensions

Three‐dimensional advection–diffusion equation with steady state was evaluated from continuous point source taking the vertical and crosswind eddy diffusivities as power law of vertical height and downwind distance with constant wind speed to get the concentration in three dimensions. Separation of...

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Bibliographic Details
Published in:Atmospheric science letters 2021-09, Vol.22 (9), p.n/a
Main Authors: Essa, Khaled S. M., Mosallem, Ahmed M., Shalaby, Ahmed S.
Format: Article
Language:English
Subjects:
Advection
Advection-diffusion equation
Atmospheric sciences
Crosswinds
Diffusion
Dimensions
Exact solutions
Fourier transforms
Hankel transform
Iodine
Iodine radioisotopes
Partial differential equations
Pollutants
radioactive iodine‐135
separation of variables technique
unstable conditions
Variables
Water pollution
Wind speed
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Summary:Three‐dimensional advection–diffusion equation with steady state was evaluated from continuous point source taking the vertical and crosswind eddy diffusivities as power law of vertical height and downwind distance with constant wind speed to get the concentration in three dimensions. Separation of variables technique and Hankel transform were used to calculate this equation. The proposed analytical solution was compared with diffusion experiment of radioactive Iodine‐135 (I135) in unstable condition at Inshas, Cairo, Egypt. A good agreement achieved between calculated and observed concentration support our proposed model.
ISSN:1530-261X
1530-261X
DOI:10.1002/asl.1043