Abstract
The aim of this work is to solve the diffusion equation in two dimensions to obtain normalized crosswind integrated concentrations using the Laplace Transform technique, taking into account that the wind speed is constant but the vertical diffusivity differs from the friction velocity and the Monin -Obukhov length. A comparison of the calculated values and the observed concentrations taken from the northern part of Copenhagen, Denmark and also Inshas, Cairo, Egypt for trace hexafluoride (SF6) through unstable condition were made. It has compared the current and observed concentration one finds that the current concentration agreement well with the observed data. The results showed an agreement between the measurements and the simulations. The values for NMSE and FB are relatively close to zero, and COR, FA2 is relatively close to one.
Highlights
Models of atmospheric dispersion were used to obtain the concentration of pollutants in the atmosphere
The analytical solution of the diffusion equation for air diffusion depends on different forms of non-Gaussian solutions
The analytical solution of the atmospheric diffusion equation contains different variations depending on Gaussian and non–Gaussian solutions
Summary
Models of atmospheric dispersion were used to obtain the concentration of pollutants in the atmosphere. The analytical solution of the diffusion equation for air diffusion depends on different forms of non-Gaussian solutions. The analytical solution of the atmospheric diffusion equation contains different variations depending on Gaussian and non–Gaussian solutions. Description of contaminant transport in the atmosphere is used to describe the combination of diffusion and advection that occurs within the air is analogous to the earth surface. The concentration of a contaminant released into the air may be described by advection – diffusion equation by Stockie JM [14]. [10] has obtained from the natural compound concentration of pollutants after solving the temporary diffusion equation using the separation method in view of the eddy diffusivities measured at night or at any time in the high-solubility layer in a stable state. The analytical or numerical solutions, together with a preliminary case and two threshold conditions, help us to understand the behavior of the distribution of the concentration of contaminants through an open
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