Application of the Differential Transform Method to the Advection-Diffusion Equation in Three-Dimensions

Advection diffusion equation with constant and variable coefficient has a wide range of practical, industrial and environmental applications. Due to the importance of at- mospheric dispersion equation, we present this study which deals analytically with the atmospheric dispersion equation. The present model is proposed to estimate the con- centration of an air pollutant in an urban area. The model is based on using Differential Transform Method (DTM) to solve the atmospheric dispersion equation. The model assumes 1) the pollutant is released from an elevated continuous point source; 2) there exist an elevated inversion layer; 3) the dispersion coefficients are parameterized as a function of downwind distance in a power law dependence. To test the model accuracy, the model predictions have been applied and compared with the experimental data for the Inshas research reactor (Egypt). The model predictions are shown to be in good agreement with the measurement of field data