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

Sebastián Vélez-García, Oscar D. Monsalve-Cifuentes, Diego Hincapié Zuluaga and Daniel Sanin-Villa ()
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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

Mathematics, 2025, vol. 13, issue 8, 1-21

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.

Keywords: spiral case; potential flow theory; fluid dynamics; computational modeling; archimedean spiral (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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