New analytical solution of the dispersion equation

The dispersion of pollutants from a point source is analytically investigated taking into consideration the vertical variation of both wind speed and eddy diffusivity. The deposition of the diffusing particles on the ground is taken into account throughout the boundary conditions. The concentration of pollutants under different atmospheric stabilities was found assuming that the vertical diffusion is limited by an elevated inversion layer. The decay distance of a pollutant along the wind direction for different atmospheric stabilities was derived. The resulting analytical formulae have been applied on a case study namely, the emission from the research reactor at Inshas. The results are discussed and presented in illustrative figures.