an analytical approach to a problem on dispersion of air pollutants

In this paper, an analytical approach to a problem on dispersion of air pollutants with constant removal rate and variable wind velocity using power law profile emitted from a point source is proposed to study in steady state condition where eddy diffusivity coefficients are taken as constants. The methods of separation of variables and power series technique have been used for the solution of the problem. It is found that the concentration profile of the air pollutants near the ground is high and it decreases as the distance (vertical or cross-wind or down-wind) from the ground increases.