In the Amazon, river navigation is very important due to the length of navigable rivers and the lack of alternative road networks. Boats usually operate in unfavorable conditions, since there is no hydrodynamic relation among propellers, geometry, and the dimensions of the boat hull. Currently, there is no methodology for propeller hydrodynamic optimization with low computational cost and easy implementation in the region. The aim of this work was to develop a mathematical approach for marine propeller design applied to boats typically found on Amazon rivers. We developed an optimized formulation for the chord and pitch angle distributions, taking into account the classical model of Glauert. A theoretical analysis for the thrust and torque relationships on an annular control volume was performed. The mathematical model used was based on the Blade Element Momentum Theory (BEMT). We concluded that the new methodology proposed in this work demonstrates a good physical behavior when compared with the theory of Glauert and the experimental data of the Wageningen B3-50 propeller. KEYWORDS: Optimization, BEMT model, theory of Glauert, Wageningen B3-50. Contribuição ao projeto hidrodinâmico de propulsores marítimos voltados as pequenas embarcações da região Amazônica RESUMONa Amazônia, a navegação é muito importante devido a extensão de rios navegáveis e a falta de redes rodoviárias alternativas. As embarcações geralmente trabalham em condições desfavoráveis, uma vez que não há relação entre a hidrodinâmica dos hélices, geometria e as dimensões do casco da embarcação. Atualmente, não há metodologia para otimização hidrodinâmica com baixo custo computacional e fácil implementação na região. O objetivo deste trabalho foi o desenvolvimento de uma abordagem matemática voltada para o projeto de propulsores marítimos aplicados as embarcações tipicamente encontradas nos rios da Amazônia. Nós desenvolvemos uma formulação otimizada para o cálculo das distribuições de corda e ângulo de torção, considerando o modelo clássico de Glauert. Uma análise teórica para as relações de empuxo e torque em um volume de controle anular foi realizado. O modelo matemático utilizado foi baseado na teoria do momento do elemento de pá (BEMT). Concluímos que a nova metodologia, proposta neste trabalho, demonstra bom comportamento físico quando comparado com a teoria de Glauert e os dados experimentais do propulsor Wageningen B3-50. PALAVRAS-CHAVE: Otimização, modelo BEMT, Teoria de Glauert, Wageningen B3-50. Contribution to the marine propeller hydrodynamic design for small boats in the Amazon region ACTA AMAZONICA small dimensions requiring small propellers. Eighty interviews in total were performed, including fifty-four with users and twenty-six with producers. Most of the foundry workshops in the towns were visited. The document contemplated information on the boats' specifications (average speed, length of the waterline, number of passengers and crew members, quantity of cargo), the marine motor (brand, model, nominal power, rpm), and th...
The navigation in Amazon region is very important due to the length of navigable rivers and the lack of alternative road network, as well as being a form of transportation costless for the flow of agricultural and manufacturing production. This kind of transportation present social, economic and technological importance for this region. Thus, this work objective to develop a mathematical approach for the marine propellers design, using a formulation for chord and pitch angle optimization, taken into account the equations of mass, energy and momentum balance for the theoretical calculation of thrust and torque relationships on an annular control volume, ie, the mathematical model is based in the Blade Element Momentum (BEM) theory. The proposed hydrodynamic model present low computational cost and it is easy to implement. The results are compared with classical Glauert's theory and the experimental data of the Wageningen B3-50 propeller, presenting good agreement.
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