Simple air quality model for a plane source

Abstract

The goal of this article is to show simple, analytical solutions of the general dispersion equation for an homogeneous plane source, parallel to the surface of the earth. At a first step, we construct a one-dimensional model, where a perfect vertical mixture is assumed (PVMM). At a second step, vertical diffusion is added to the problem (GM). Both models predict that the concentration increases downwind and, due to deposition, it remains bounded. In order to analyze the validity of the models, the space distribution of particulate matter PM10 in the saturated zone Temuco-Padre Las Casas, Chile (38.77º S, 72.63º W) is analyzed and compared with the prediction of the models.