Comparison between analytical solution of advection diffusion equation and Gaussian plume model in three dimensions through different stabilities

Source abstract

In this research, the concentration of contaminants was obtained by solving the three-dimensional advection-diffusion equation using the separation of variables technique. Different shapes were adopted for the eddy diffusivity and the logarithmic wind speed under all stability conditions. The analytical results of the advection-diffusion equation were calculated through different stabilities. The calculated results for neutral and stable conditions were compared with already existing observed data for Iodine-131 at the Egyptian Atomic Energy, Nuclear Research Center. Also, the calculated results for unstable conditions were compared with already existing observed data for Iodine-135. Comparisons of the analytical results of the advection-diffusion equation, previous work and the Gaussian plume model, in all stability conditions, are included. Using the statistical methodology, it was discovered that there a strong correlation with the observed concentrations in both neutral and unstable settings compared to stable conditions.