Studying the Effect of Two Analytical Solutions of Advection-Diffusion Equation on Experimental Data

Abstract

In this article, two proposed analytical model solutions of the steady-state advection-diffusion equation were carried out using the technique of advection diffusion multilayer method (ADMM), variable separation technique, Fourier transform, square complement method, general integrated transport technique (GITT) and Laplace transform. This work considers the wind speed u, crosswind eddy diffusivity $${k}_{y}$$ k y and vertical eddy diffusivity $${k}_{z}$$ k z as functions of power law in vertical distance "$$z$$ z ". This consideration was applied to the two analytical models. The predicted concentrations were calculated for neutral, stable and unstable conditions. The calculated concentrations for unstable conditions were compared with already existing experimental data measured for radioactive iodine-135 (I135) at an Egyptian Atomic Energy Authority test at Inshas. Also, the calculated concentrations for stable and neutral conditions were compared with already existing experimental data on iodine I-131 (I131) released from the research reactor. A comparison of the values of the proposed concentrations and the previous works is included in this article. It was found that the second predicted model was in good agreement with observed data in unstable, stable and neutral conditions compared with the first predicted model.