Lagrangian Models of the Dispersion of Airborne Chemically Reacting Contaminants

Abstract

The present work attempts to obtain a mathematical model for generation and dispersion of photochemical smog. A simplified kinetic model which is proposed by Friedlander and Seinfeld (1969), is presented for the photochemical smog reactions. To take into account the effect of atmospheric mixing processes on the chemical reactions, the Lagrangian similarity hypothesis for the diffusion of non-reactive components is extended to reacting species. The concept of a variable volume batch reactor model (VVBR) is applied in the study of the formation of photochemical smog. The critical value, [h/bu_(*)]cr. where h is the source height, b constant and u_* friction velocity, for the onset of photochemical smog is found. Calculations based on the simplified kinetic model and the applications of the Lagrangian similarity hypothesis are given for a nonlinear, second order chemical reaction. Finally, determination of the probability density function of the pollutant is given for the non-reacting case.

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