Modelagem da dispersão de poluentes em rios e canais sob a perspectiva das abordagens GILTT e separação de variáveis

Abstract

Events involving disposal of liquids wastes and water resources degradation has been repeated over the years. Bearing in mind, the preservation of the water resources it’s necessary the application of ambiental tools that reproduce the pollutant’s phenomenon of transport, in this way is possible anticipate the pollutant dispersion and have a reaction in an adequate time. Among the ambiental tools deserves particular emphasis the mathematical models for practicality and reproducibility of these phenomenon’s. These work aim’s to present and compare the solutions using the analytical approach of GILTT (Generalized Integral Laplace Transform Technique) and separation of variables, which model the problem of dispersion of contaminants in rivers and channels. Therefore, is considered the two-dimensional, in the longitudinal vertical plane model. Finally are presented numerical simulations and some comparisons between experimental data and numerical results available in literature. As expected, the results obtained in these study demonstrate that the adoption of variable coefficients promotes an increase in the quality of the approach used. In this way, the approach that best represents the hypothetical situations was the GILTT approach.