Abstract
<title>Abstract</title> <p>To determine the dispersion of pollutants in the atmospheric boundary layer (ABL), an analytical solution to the three-dimensional steady-state advection-diffusion equation has been employed. The vertical eddy diffusivity and longitudal wind speed are assumed to be power laws of vertical height in this work, whereas the horizontal and crosswind eddy diffusivities are assumed to be dependent on the longitudal wind speed. The Laplace transform method with analytical inversion, which has been regarded as non-Gaussian, solves the advection diffusion equation following transformation by a generalized integral transform. The Prairie Grass stable experiment's observations have been contrasted with the suggested hypothesis. It was determined that, for the most part, the suggested model agrees well with observations.</p>