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Numerical Optimization of the Blade Profile of a Savonius Type Rotor Using the Response Surface Methodology

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  • Luis A. Gallo

    (Grupo de Investigación Energía Alternativa (GEA), Facultad de Ingeniería, Universidad de Antioquia (UdeA), Calle 70 No 52-51, Medellin 050010, Colombia)

  • Edwin L. Chica

    (Grupo de Investigación Energía Alternativa (GEA), Facultad de Ingeniería, Universidad de Antioquia (UdeA), Calle 70 No 52-51, Medellin 050010, Colombia)

  • Elkin G. Flórez

    (Grupo de Investigación en Ingeniería Mecánica de la Universidad de Pamplona (GIMUP), Universidad de Pamplona, Pamplona 543050, Colombia)

Abstract

The present study aims to numerically determine the geometric proportions that maximize the performance of a Savonius rotor with a split Bach blade profile. For this, the response surface methodology was used through a full factorial experimental design, comprised of four factors corresponding to the width ( C ) and length ( L ) of the overlap, and the eccentricity ( E ) and radius ( R ) of the blade, which define the geometry of the rotor. The models built from the different treatments of the experimental designs were analyzed using computational simulations in order to obtain the power coefficient ( C P ), considered as the response variable. The same parameters and models of computational fluid dynamics were used to analyze each geometry through the ANSYS Fluent software. The analysis of the obtained results showed that there is a great interaction among the evaluated factors, which demonstrates the importance of analyzing them together. The results obtained with the full factorial experiment design were compared with those obtained from a face-centered central composite design, evidencing a difference of only 0.30% in the estimate of the regression model. A C P of 0.2661 was obtained from the optimized geometry, which represents a 36.50% increase in its performance with respect to the conventional semicircular profile. The optimal dimensions obtained are 4.69, 21.45, 5.52 and 25.15 in percentage values of the rotor diameter, for parameters C , L , E and R parameters, respectively. Experimental data available in the literature were used to contrast the numerical results and a good fit was revealed.

Suggested Citation

  • Luis A. Gallo & Edwin L. Chica & Elkin G. Flórez, 2022. "Numerical Optimization of the Blade Profile of a Savonius Type Rotor Using the Response Surface Methodology," Sustainability, MDPI, vol. 14(9), pages 1-18, May.
    • Handle: RePEc:gam:jsusta:v:14:y:2022:i:9:p:5596-:d:809671
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    References listed on IDEAS

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    1. Eriksson, Sandra & Bernhoff, Hans & Leijon, Mats, 2008. "Evaluation of different turbine concepts for wind power," Renewable and Sustainable Energy Reviews, Elsevier, vol. 12(5), pages 1419-1434, June.
    2. Kamoji, M.A. & Kedare, S.B. & Prabhu, S.V., 2009. "Experimental investigations on single stage modified Savonius rotor," Applied Energy, Elsevier, vol. 86(7-8), pages 1064-1073, July.
    3. Kacprzak, Konrad & Liskiewicz, Grzegorz & Sobczak, Krzysztof, 2013. "Numerical investigation of conventional and modified Savonius wind turbines," Renewable Energy, Elsevier, vol. 60(C), pages 578-585.
    4. Roy, Sukanta & Saha, Ujjwal K., 2015. "Wind tunnel experiments of a newly developed two-bladed Savonius-style wind turbine," Applied Energy, Elsevier, vol. 137(C), pages 117-125.
    5. Kumar, Anuj & Saini, R.P., 2016. "Performance parameters of Savonius type hydrokinetic turbine – A Review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 64(C), pages 289-310.
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