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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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Published in: | Atmospheric science letters 2021-09, Vol.22 (9), p.n/a |
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creator | Essa, Khaled S. M. Mosallem, Ahmed M. Shalaby, Ahmed S. |
description | 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. |
doi_str_mv | 10.1002/asl.1043 |
format | article |
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M.</creatorcontrib><creatorcontrib>Mosallem, Ahmed M.</creatorcontrib><creatorcontrib>Shalaby, Ahmed S.</creatorcontrib><title>Evaluation of analytical solution of advection diffusion equation in three dimensions</title><title>Atmospheric science letters</title><description>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. 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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 |
title | Evaluation of analytical solution of advection diffusion equation in three dimensions |
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