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 Vol. 22; no. 9
Main Authors:	Essa, Khaled S. M., Mosallem, Ahmed M., Shalaby, Ahmed S.
Format:	Journal Article
Language:	English
Published:	Chichester, UK John Wiley & Sons, Ltd 01-09-2021 John Wiley & Sons, Inc Wiley
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 Cairo Egypt Egypt
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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