In the present work, we investigate the potential of fractional derivatives to model atmospheric dispersion of pollutants. We propose simple fractional differential equation models for the steady state spatial distribution of concentration of a non-reactive pollutant in Planetary Boundary Layer. We solve these models and we compare the solutions with a real experiment. We found that the fractional derivative models perform far better than the traditional Gaussian model and even better than models found in the literature where it is considered that the diffusion coefficient is a function of the position in order to deal with the anomalous diffusion.
This work shows the development of a model for the simulation of rocket exhaust effluent. The model is based on a semi-analytical solution of the time dependent three-dimensional advection-diffusion equation and overcomes the features of the Gaussian concepts considering realistic eddy diffusivities and wind profiles. We report numerical simulations with the approach using micrometeorological parameters and wind profile generated by the Weather Research and Forecasting (WRF) model in the area around the Alcântara Launch Center, Brazil.
The settling velocity and deposition of particulate matter on the earth's surface has been introduced in an analytical solution of advection-diffusion equation. The influence of particle diameters in ground level concentration distribution was investigated in function of different atmospheric stability condiyions
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