Solution of the Puff Model for Pollutant Dispersion in the Atmospheric Boundary Layer by an Analytical Approach

Abstract

The objective of this work is to present an analytical approach for the solution of the advection-diffusion equation that describes a puff model. This model simulate the behavior of a pollutant for an instantaneous emission in non homogeneous and non stationary meteorological conditions. The GILTT method (Generalized Integral Laplace Transform Technique) was used to solve the problem. With the model presented in this work we aim to refine an earlier one, which assumes a homogeneous longitudinal diffusion, using a Gaussian in this direction. For this purpose, in the present work, we solve a transient three-dimensional problem taking into account the diffusion coefficients in all directions. For comparison and validation of the proposed model we used data from the experiment of Copenhagen and the results obtained with the Gaussian model.