Modelagem matemática do perfil da bolha alongada no escoamento bifásico em golfadas e análise de dados experimentais

• Autor(a) principal: Weiland, Mateus
• Data de Publicação: 2017
• Tipo de documento: Trabalho de conclusão de curso
• Idioma: por
• Título da fonte: Repositório Institucional da UTFPR (da Universidade Tecnológica Federal do Paraná (RIUT))
• Texto Completo: http://repositorio.utfpr.edu.br/jspui/handle/1/10554
• topic: Escoamento multifásico; Gás - Escoamento; Escoamento bifásico; Escoamento; Modelos matemáticos; Simulação (Computadores); Engenharia mecânica; Multiphase flow; Gas flow; Two-phase flow; Runoff; Mathematical models; Computer simulation; Mechanical engineering; CNPQ::ENGENHARIAS::ENGENHARIA MECANICA::FENOMENOS DE TRANSPORTE::MECANICA DOS FLUIDOS

In the two-phase liquid-gas flow, the gas phase and the liquid phase are distributed in different geometries as a function of flow characteristics such as fluid flows rates, properties of each phase and geometric parameters of the pipe. These geometric distributions of each phases are called flow patterns. A commonly biphasic flow pattern in the oil and gas pipelines is the slug flow which is composed of a unit cell comprising an aerated liquid slug and an elongated gas bubble flowing next to a liquid film. The mathematical modeling of the elongated bubble profile is one of the possibilities to characterize the biphasic slug flow. Thus, in this work a mathematical modeling of the elongated gas bubble profile is developed from the balance of the momentum equation in the region of the elongated bubble. The system of equations resulting from mathematical modeling was solved numerically using the finite difference method. From the numerical solution it is possible to obtain the liquid holdup and the gas void fraction in the region of the elongated bubble, the length of the elongated bubble and the liquid slug and the profile of the elongated bubble. Numerical tests were performed for different water and air flow rates in the biphasic slug flow pattern in downwardly inclined pipes, of 0, -4º and -7º, -10º and -13º. The results were compared with experimental data measured in the NUEM-UTFPR. From the analysis of the results it was verified that the numerically calculated parameters had discrepancies smaller than 25%, when compared with experimental data, for the slug flow with inclinations of 0, -4º and -7º. For the cases of flow with inclinations of - 10º and -13º, the discrepancies between the numerical and experimental results were greater, limiting the use of the modeling developed in these conditions.