Open AccessEvaluation of analytical solution of advection diffusion equation in three dimensions
Author(s) -
Essa Khaled S. M.,
Mosallem Ahmed M.,
Shalaby Ahmed S.
Publication year - 2021
Publication title -
atmospheric science letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.951
H-Index - 45
ISSN - 1530-261X
DOI - 10.1002/asl.1043
Subject(s) - crosswind , advection , eddy diffusion , diffusion , diffusion equation , convection–diffusion equation , steady state (chemistry) , wind speed , constant (computer programming) , point source , mathematical analysis , mechanics , mathematics , meteorology , environmental science , physics , thermodynamics , turbulence , chemistry , engineering , computer science , metric (unit) , operations management , optics , programming language
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 ( I 135 ) in unstable condition at Inshas, Cairo, Egypt. A good agreement achieved between calculated and observed concentration support our proposed model.