The modeling of atmospheric dispersion is the mathematical simulation of how pollutants are dispersed in the atmosphere. Based on the advection-diffusion equations describing the dispersion of pollutants, dispersal models are widely used to give a spatial variability of pollutants emitted mainly by agricultural activities and industrial facilities. In this context, an analytical model is presented to study the dispersion of pollutants in the atmospheric boundary layer. The solution procedure is based on dividing the planetary boundary layer into sub-domains, where in each sub-domain the eddy diffusivity and the wind speed take average values. The eddy diffusivity is expressed under unstable conditions and the wind speed is represented in its logarithmic form. The findings of the current study show that the developed model is successfully validated using data sets obtained from the Copenhagen diffusion experiments in unstable conditions, after this the model is numerically applied in order to observe, in a better way, the spread of the pollutant in the atmosphere.
A novel analytical solution has been developed for the three-dimensional dispersion of atmospheric pollutants, providing a new approach to understanding and addressing this important environmental issue. The central concept of the study is to divide the planetary boundary layer into multiple vertical sub-layers, each characterized by its own average wind speed and eddy diffusivity. This allows for a more comprehensive and nuanced examination of atmospheric processes within the boundary layer. The validity of the model is thoroughly evaluated through a comparison of its predictions with data collected from the Copenhagen Diffusion and Prairie Grass experiments. This approach ensures that the model accurately reflects the complexities of atmospheric dispersion in real-world scenarios. The results of the study demonstrate a strong correlation between the predicted and measured crosswind-integrated concentrations. Furthermore, the statistical indices computed for the model fall within an acceptable range, indicating a high level of accuracy in the model’s predictions. These findings reinforce the validity of the analytical solution for modeling atmospheric pollutant dispersion.
We develop a new analytical solution of a three-dimensional atmospheric pollutant dispersion. The main idea is to subdivide vertically the planetary boundary layer into sub-layers, where the wind speed and eddy diffusivity assume average values for each sub-layer. Basically, the model is assessed and validated using data obtained from the Copenhagen diffusion and Prairie Grass experiments. Our findings show that there is a good agreement between the predicted and observed crosswind-integrated concentrations. Moreover, the calculated statistical indices are within the range of acceptable model performance.
We develop a new analytical solution of a three-dimensional atmospheric pollutant dispersion. The main idea is to subdivide vertically the planetary boundary layer into sub-layers, where the wind speed and eddy diffusivity assume average values for each sub-layer. Basically, the model is assessed and validated using data obtained from the Copenhagen diffusion and Prairie Grass experiments. Our findings show that there is a good agreement between the predicted and observed crosswind-integrated concentrations. Moreover, the calculated statistical indices are within the range of acceptable model performance.
doi:https://doi.org/10.1017/S1446181122000037
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