Studying the effect of vertical variation of wind speed and eddy diffusivity on the advection diffusion equation

The three dimensional steady state advection-diffusion equations have been solved analytically to simulate the dispersion of contaminants in the atmospheric boundary layer (ABL). The solution is based on the assumption that the concentration distribution of pollutants in the crosswind direction has a Gaussian distribution. The analytical solution has been obtained by taking into account the dependence of the vertical eddy diffusivity and the wind speed on the vertical height z. The derived solution has been applied to calculate the concentration of Iodine-131 using data collected from the experiments performed to collect air samples around a Research Reactor. Statistical measures were applied to evaluate the performance of the derived model. The results are discussed and presented in tables and illustrative figures.