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ATMOSPHERIC POLLUTANT DISPERSION MODELING: AN APPROACH USING HAUSDORFF DERIVATIVE

ATMOSPHERIC POLLUTANT DISPERSION MODELING: AN APPROACH USING HAUSDORFF DERIVATIVE

Silva, Jose Roberto Dantas da ; Palmeira, Anderson da Silva ; Xavier, Paulo Henrique F. ; Moreira, Davidson Martins ;

Completo:

"The main objective of this work is to present a methodological approach to obtaining an analytical solution for the two-dimensional fractal advection-diffusion equation, considering the Hausdorff derivative, so that it is possible to simulate the dispersion of atmospheric pollutants in the planetary boundary layer without losing dimensional consistency of the equation. The main results obtained are: a) the fractal parameter is a function of atmospheric stability, explicitly depending on the relationship between friction velocity and convective velocity ( * * u w ); b) the inclusion of fractal derivative in the atmospheric dispersion equation improves the description of the turbulent transport process in the field region near the emission source."

Completo:

"The main objective of this work is to present a methodological approach to obtaining an analytical solution for the two-dimensional fractal advection-diffusion equation, considering the Hausdorff derivative, so that it is possible to simulate the dispersion of atmospheric pollutants in the planetary boundary layer without losing dimensional consistency of the equation. The main results obtained are: a) the fractal parameter is a function of atmospheric stability, explicitly depending on the relationship between friction velocity and convective velocity ( * * u w ); b) the inclusion of fractal derivative in the atmospheric dispersion equation improves the description of the turbulent transport process in the field region near the emission source."

Palavras-chave: Turbulent diffusion; Hausdorff derivative; Advection-diffusion equation; Fractional calculus,

Palavras-chave: Turbulent diffusion; Hausdorff derivative; Advection-diffusion equation; Fractional calculus,

DOI: 10.5151/siintec2024-393092

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Como citar:

Silva, Jose Roberto Dantas da; Palmeira, Anderson da Silva; Xavier, Paulo Henrique F.; Moreira, Davidson Martins; "ATMOSPHERIC POLLUTANT DISPERSION MODELING: AN APPROACH USING HAUSDORFF DERIVATIVE", p. 1185-1194 . In: . São Paulo: Blucher, 2024.
ISSN 2357-7592, DOI 10.5151/siintec2024-393092

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