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Este trabalho foi realizado com o objetivo de se modelar e avaliar o comportamento hidráulico de microtubos ramificados, com base na relação entre vazão e comprimento dos microtubos para uma pressão de entrada, operando sob regime laminar. Dois modelos matemáticos foram estudados, em que um considerou a perda localizada de carga no dimensionamento dos microtubos ramificados e o outro a desconsiderou. O experimento para validação dos modelos foi conduzido no Laboratrio de Hidráulica da Escola Superior de Agricultura "Luiz de Queiroz" (ESALQ-USP), Piracicaba, SP, medindo-se a vazão dos emissores para as pressões de 14,7; 18,6; 39,2 e 58,9 kPa. A configuração do sistema de irrigação consistiu de uma linha lateral com diâmetro nominal (DN) de 10,0 mm, na qual foram inseridos microtubos conectores com DN de 0,8 mm conectados a um segmento de tubo de derivação e acoplados seis microtubos emissores com DN de 0,7 mm. Verificou-se que, dentre os modelos matemáticos, aquele que considerou a perda localizada de carga apresentou maior exatidão pois teve elevado, um bom índice de Willmott e baixo erro quadrático médio. This study was carried out with the aim to develop a mathematical model and to evaluate the hydraulic behavior of branched microtubes, based on the relationship between discharge and microtube length for a specific inlet pressure, operating under laminar flow conditions. Two mathematical models were studied in which one considered the local head losses in irrigation system design and the another did not consider. The experiment for model validation was carried out at the Laboratory of Hydraulics, School of Agriculture "Luiz de Queiroz" (ESALQ/USP), Piracicaba-SP, where emitter discharges was verified under the pressures of 14.7; 18.6; 39.2 and 58.9 kPa. The irrigation system configuration consisted of a lateral line with nominal diameter (DN) of 10.0 mm, in which are inserted microtube connectors with 0.8 mm DN. These connectors are connected to a derivation tube segment, where six emitter microtubes with 0.7 mm DN were attached. It was verified that the model which considered the local head losses showed better accuracy than other mathematical models, as this model showed a good Willmott index and a low mean quadratic error

Modelagem para o dimensionamento de um sistema de microirrigação utilizando microtubos ramificados