Analytical solution of diffusion equation under chemical reaction and wet deposition from line Source

Abstract

The pollutants from the environment are absorbed by wet deposition which increases the pollutants transport. To create and produce different substances, the constituent atoms of the reactants should be rearranged by the chemical reaction. The introduced theoretical model demonstrate the dispersal of pollutants inherited from point and line source without and with both wet deposition and chemical reaction, respectively. The advection-diffusion equation is solved. Taking the wind speed is a function of downwind distance, lateral eddy diffusivity is a function of wind speed and vertical eddy diffusivity is a function of both wind speed and vertical height of power “z”. In this paper the variable separable method and Hankel transform are used to get the concentration from point and line source. Predicted concentration of pollutants in unstable condition is done. Variation concentrations of both observed and predicted of radioactive Iodine135 (I-135), inside Research Reactor at Inshas Egyptian Atomic Energy Authority, in unstable condition is shown without chemical reaction and wet deposition. It is discovered that the proposed model is a good harmony with observed concentrations data and the proposed data inside a factor of two. Also, studying the effect of wet deposition and chemical reaction on concentration of air contaminants of line source is analysed.

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

“…( 28) and the previous work (Essa et al, 2022). Also, the first proposed model, the second proposed model and the previous work (Essa et al, 2022) achieved approximately 39%, 97% and 78% from already existing observed data concentrations, respectively.…”

“…( 28) and the previous work. The first proposed model, the second proposed model and the previous work (Essa et al, 2022) achieved approximately 39%, 97% and 78% from observed data in unstable conditions, respectively. The first proposed model, the second proposed model and the previous work (Essa et al, 2014) achieved approximately 63%, 100% and 28% from observed data in stable conditions, respectively.…”

“…Figure 1 shows the variation between two proposals, the previous work (Essa et al, 2022) and already existing observed concentrations of radioactive I135 via downwind distance in unstable conditions at Inshas. Also, the relation between the proposed, previous work (Essa et al, 2022) and already existing observed concentration is shown in Fig. 2.…”

“…( 4) below the plume center line. The comparison between two predicted concentrations was made using Mathematica program, previous work (Essa et al, 2022), and already existing observed concentration data of I135 from the Nuclear Research Reactor at the Egyptian Atomic Energy Authority are presented in Table 3).…”

“…Mass transfer shape factor effects were studied by Abbasi et al (2021). Also, an analytical solution for the diffusion equation under chemical reaction and wet deposition from the line source was investigated by Essa et al (2022).…”