This work presents a brief historical introduction to fractional calculus, which appeared at the end of the 17 th century, followed by a recent formulation showing the state of art, using the conformable derivative. In this context, a solution to the problem of pollutant dispersion in the atmospheric boundary layer is obtained using the Laplace decomposition method (LDM), also seeking an alternative to the problem of dimensional incompatibility that arises from this type of approach.
The Deputado Luís Eduardo Magalhães International Airport, located in Salvador, Bahia, is the largest and busiest airport in the state, occupying the 10th position in terms of passenger movement in the country. This work analyzed the emissions of atmospheric pollutants from the movement of aircraft in 2017. The FOKKER aircraft, model F100, had lower emissions compared to other models. The AIRBUS aircraft, models A310, 737-800, A320, A330-200 had the highest emissions, this fact is due to the technology and engines more efficient in burning the fuel, aviation kerosene (QAv). This study presents an initial advance, being part of a more complete inventory of sources for the region, and an important tool for stimulating the creation of emission reduction programs at airports.
In the Amazon, the frequency of extreme events has been increasing notably in recent decades. In the months of April, May and June 2021, the city of Manaus faced the greatest flood in 119 years, reaching the Rio Negro a level of 29.98 m. In view of this, the present work aims to evaluate the performance of the WRF-Hydro model in simulating precipitation during an extreme flood event in the Amazon Basin. The simulations were performed with 1 km spatial resolution and 250 m channel network for the period from 04/30 to 06/05 2021. Such applications were evaluated using comparisons of the variability of accumulated precipitation with observed data from National Water Agency rainfall stations. The results showed a tendency for the model to underestimate the accumulated precipitation, slightly reproducing some observed precipitation patterns. It is concluded that the tool presents a capacity for precipitation estimation, with potential for operational purposes.
The objective of this work is to describe a methodological proposal for the development of a solution of the fractional two-dimensional diffusion-advection equation considering a non-homogeneous planetary boundary layer (PBL). The method ADMM (Advection-Diffusion Multilayer Method) is used, which provides a semi-analytical solution based on the discretization of the PBL in sublayers, and the advection-diffusion equation is solved by applying the Laplace transform technique, now including the novelty of the conformable derivatives. This procedure generates a new methodology called -ADMM.
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