GENERALIZED ANALYTICAL TREATMENT OF THESOURCE STRENGTH IN THE SOLUTION OF THEDIFFUSION EQUATION

The source release strength (which is an integral part of the mathematical formulation of the diffusion equation) together with the boundary conditions leads tothree different forms of the diffusion equation. The obtained forms have been solved analytically under different boundary conditions, by using transformation of axis,cosine, and Fourier transformation. Three equivalent alternative mathematical formulations of the problem have been obtained. The estimated solution of the concentrations at the ground source has been used for comparison with observed concentrations data for SF6 tracer experiments in low wind and unstable conditions atIIT Delhi sports ground. A good agreement between estimated and observed concentrations is found.