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Mathematical, Fluid Dynamic and Experimental Analysis of a Spiral Case Without Guide Vanes

Author

Listed:
  • Sebastián Vélez-García

    (Department of Mechatronics and Electromechanics, Instituto Tecnológico Metropolitano, Medellín 050034, Colombia)

  • Oscar D. Monsalve-Cifuentes

    (Department of Mechatronics and Electromechanics, Instituto Tecnológico Metropolitano, Medellín 050034, Colombia)

  • Diego Hincapié Zuluaga

    (Department of Mechanical Engineering, Universidad de Antioquia, Medellín 050010, Colombia)

  • Daniel Sanin-Villa

    (Área Industria, Materiales y Energía, Universidad EAFIT, Medellín 050022, Colombia)

Abstract

This paper presents the mathematical modeling, fluid dynamic analysis, and experimental analysis of a spiral case without guide vanes. Using a specific case of the Archimedes spiral, the model eliminates the need for fixed or moving blades to simplify the design, manufacturing, and maintenance process of the turbomachine by reducing the number of system components while preserving the fluid dynamic performance of a turbomachine operating in turbine mode. The potential flow theory is used as a mathematical basis for developing a computational code that allows the automatic generation of the curves that define the geometry of the spiral chamber, simplifying the CAD modeling process. Finally, the process is validated numerically and experimentally under different operating conditions, reaching an average error percentage between numerical and experimental analysis of 5.893% of speed and 11.089% of pressure, guaranteeing the accuracy of the model.

Suggested Citation

  • Sebastián Vélez-García & Oscar D. Monsalve-Cifuentes & Diego Hincapié Zuluaga & Daniel Sanin-Villa, 2025. "Mathematical, Fluid Dynamic and Experimental Analysis of a Spiral Case Without Guide Vanes," Mathematics, MDPI, vol. 13(8), pages 1-21, April.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:8:p:1245-:d:1631882
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    References listed on IDEAS

    as
    1. Koirala, Ravi & Neopane, Hari Prasad & Shrestha, Oblique & Zhu, Baoshan & Thapa, Bhola, 2017. "Selection of guide vane profile for erosion handling in Francis turbines," Renewable Energy, Elsevier, vol. 112(C), pages 328-336.
    2. Aldemar Leguizamon-Perilla & Juan S. Rodriguez-Bernal & Laidi Moralez-Cruz & Nidia Isabel Farfán-Martinez & César Nieto-Londoño & Rafael E. Vásquez & Ana Escudero-Atehortua, 2023. "Digitalisation and Modernisation of Hydropower Operating Facilities to Support the Colombian Energy Mix Flexibility," Energies, MDPI, vol. 16(7), pages 1-17, March.
    3. Filip Stojkovski & Marija Lazarevikj & Zoran Markov & Igor Iliev & Ole Gunnar Dahlhaug, 2021. "Constraints of Parametrically Defined Guide Vanes for a High-Head Francis Turbine," Energies, MDPI, vol. 14(9), pages 1-13, May.
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