Mathematical, Fluid Dynamic and Experimental Analysis of a Spiral Case Without Guide Vanes
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 proce...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-04-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/13/8/1245 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850144816489299968 |
|---|---|
| author | Sebastián Vélez-García Oscar D. Monsalve-Cifuentes Diego Hincapié Zuluaga Daniel Sanin-Villa |
| author_facet | Sebastián Vélez-García Oscar D. Monsalve-Cifuentes Diego Hincapié Zuluaga Daniel Sanin-Villa |
| author_sort | Sebastián Vélez-García |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a45704aa19db465e99ef3bc84ea548ec |
| institution | OA Journals |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-a45704aa19db465e99ef3bc84ea548ec2025-08-20T02:28:15ZengMDPI AGMathematics2227-73902025-04-01138124510.3390/math13081245Mathematical, Fluid Dynamic and Experimental Analysis of a Spiral Case Without Guide VanesSebastián Vélez-García0Oscar D. Monsalve-Cifuentes1Diego Hincapié Zuluaga2Daniel Sanin-Villa3Department of Mechatronics and Electromechanics, Instituto Tecnológico Metropolitano, Medellín 050034, ColombiaDepartment of Mechatronics and Electromechanics, Instituto Tecnológico Metropolitano, Medellín 050034, ColombiaDepartment of Mechanical Engineering, Universidad de Antioquia, Medellín 050010, ColombiaÁrea Industria, Materiales y Energía, Universidad EAFIT, Medellín 050022, ColombiaThis 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.https://www.mdpi.com/2227-7390/13/8/1245spiral casepotential flow theoryfluid dynamicscomputational modelingarchimedean spiral |
| spellingShingle | Sebastián Vélez-García Oscar D. Monsalve-Cifuentes Diego Hincapié Zuluaga Daniel Sanin-Villa Mathematical, Fluid Dynamic and Experimental Analysis of a Spiral Case Without Guide Vanes Mathematics spiral case potential flow theory fluid dynamics computational modeling archimedean spiral |
| title | Mathematical, Fluid Dynamic and Experimental Analysis of a Spiral Case Without Guide Vanes |
| title_full | Mathematical, Fluid Dynamic and Experimental Analysis of a Spiral Case Without Guide Vanes |
| title_fullStr | Mathematical, Fluid Dynamic and Experimental Analysis of a Spiral Case Without Guide Vanes |
| title_full_unstemmed | Mathematical, Fluid Dynamic and Experimental Analysis of a Spiral Case Without Guide Vanes |
| title_short | Mathematical, Fluid Dynamic and Experimental Analysis of a Spiral Case Without Guide Vanes |
| title_sort | mathematical fluid dynamic and experimental analysis of a spiral case without guide vanes |
| topic | spiral case potential flow theory fluid dynamics computational modeling archimedean spiral |
| url | https://www.mdpi.com/2227-7390/13/8/1245 |
| work_keys_str_mv | AT sebastianvelezgarcia mathematicalfluiddynamicandexperimentalanalysisofaspiralcasewithoutguidevanes AT oscardmonsalvecifuentes mathematicalfluiddynamicandexperimentalanalysisofaspiralcasewithoutguidevanes AT diegohincapiezuluaga mathematicalfluiddynamicandexperimentalanalysisofaspiralcasewithoutguidevanes AT danielsaninvilla mathematicalfluiddynamicandexperimentalanalysisofaspiralcasewithoutguidevanes |