Different solutions of the diffusion equation and its applications

Abstract

Abstract In this report, we solved the advection–diffusion equation under pollutants deposition on the ground surface, taking wind speed and vertical diffusion depend on the vertical height. Also, we estimated a simple diffusion model from point source in an urban atmosphere and the conservative material with downwind was evaluated. Then, we calculated the extreme ground-level concentration as a function of stack height and plume rise in two cases. Comparison between the proposed models and the emission from the Egyptian Atomic Research Reactor at Inshas had been done. Lastly, we discussed the results in this report.

Keywords

• Advection–diffusion equation
• Pollutants deposition
• Extreme ground-level concentration
• Egyptian atomic research reactor
• Urban atmosphere
• The conservative material