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Optimized design of linear cascades for turbomachinery applications

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Abstract

This paper presents a cascade optimization methodology for representing axial turbomachinery profiles of series NACA-65. In geometrical parameterization scheme of the cascade the following are considered as design variables: the stagger angle, cascade pitch, and camber line. For the calculation of the flow, the panel method of Hess and Smith with modifications is used to introduce the viscous effects by calculating the boundary layer. This methodology used a viscous/inviscid interaction and has as advantage the low computational cost and being favorable for the optimization process. The maximization of the relationship between the lift and the drag coefficient was defined as objective function and was added a penalty function, given by the minimum deflection angle of the flow in the cascade. For the optimal solution, a controlled random search algorithm is used. On the other hand, is also constructed a response surface by interpolation of radial basis functions to obtain comparative analysis of the solutions. Results of pressure distributions and aerodynamic coefficients are also obtained for the optimal cascades.

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Authors and Affiliations

  1. Institute of Mechanical Engineering, Universidade Federal de Itajubá, UNIFEI, Campus Prof. José Rodrigues Seabra, Av. BPS n 1303, Bairro Pinheirinho, 37500-903, Itajubá, MG, Brazil

    Lorena Castilho, Ramiro Gustavo Ramirez Camacho & Edna Raimunda da Silva

Authors
  1. Lorena Castilho
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  2. Ramiro Gustavo Ramirez Camacho
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  3. Edna Raimunda da Silva
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Correspondence to Ramiro Gustavo Ramirez Camacho.

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Technical Editor: Francisco Ricardo Cunha.

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Castilho, L., Camacho, R.G.R. & da Silva, E.R. Optimized design of linear cascades for turbomachinery applications. J Braz. Soc. Mech. Sci. Eng. 38, 813–825 (2016). https://doi.org/10.1007/s40430-015-0338-0

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  • DOI: https://doi.org/10.1007/s40430-015-0338-0

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