Optimization for the inlet channel and basin of a gravitational vortex turbine through the maximization of circulation
Eduardo D. Madrid C., Juan C. Serrano R. and Elkin G. Flórez S. Department of Mechanical Engineering. Universidad de Pamplona. Pamplona – Colombia 2026-01-20

Abstract

To optimize the energy generation of a gravitational vortex turbine, geometric modifications are proposed for its inlet channel and basin. These modifications include implementing a contraction in the channel, a technique commonly used in wind tunnels to accelerate the fluid and consequently improve vorticity in the basin. Three parameters were considered for optimization: the ratio between the diameter of the basin (D) and the length of the contraction (Lc), expressed as Lc/D; the size of the outlet edge (w2) relative to D, expressed as w2/D; and the height of the basin (H) relative to D, expressed as H/D. These parameters were systematically evaluated through numerical simulations to assess vortex circulation (Γ), established as the target variable. The behavior of the flow within the basin was simulated, which made it possible to identify the vorticity that was sought to be validated, obtaining positive results in what leads to the generation of the vortex thanks to the geometric changes made.

Key words: Basin, energy, optimization, turbine, vortex.

References

[1] Velásquez, L., Posada, A., & Chica, E. (2023). Surrogate modeling method for multi-objective optimization of the inlet channel and the basin of a gravitational water vortex hydraulic turbine. Applied Energy, 330, 120357.

[2] Prías, Omar, (2010). "Programa de uso racional y eficiente de energía y fuentes no convencionales–PROURE." Informe Final. Plan de Acción 2015.

[3] Kiviniemi, Olli, (2009).and Gregory Makusa. "A scale model investigation of free surface vortex with particle tracking velocimetry".

[4] Velásquez, L., Posada, A., & Chica, E. (2022). Optimization of the basin and inlet channel of a gravitational water vortex hydraulic turbine using the response surface methodology. Renewable Energy, 187, 508-52.

[5] Boyle, G. (1993). Renewable Energy, 2004, ISBN: 9780199261789;(b) TB Johansson, H. Kelly, AKN Reddy and RH Williams. Renewable energy: sources for fuels and electricity.

[6] S. Mulligan, (2015). Experimental and Numerical Analysis of Three-Dimensional FreeSurface Turbulent Vortex Flows with Strong Circulation, Institute of Technology Sligo, Ireland.

[7] Timilsina AB, Mulligan S, Bajracharya TR. (2018). Water vortex hydropower technology: a state-of-the-art review of developmental trends. Clean Technol Environ Policy. 20(8):1737–60.

[8] Velásquez, L., Posada, A., & Chica, E. (2021). Advances in the Development of Gravitational Water Vortex Hydraulic Turbines

[9] Velásquez, L., Posada, A., & Chica, E. (2020). Numerical analysis of the inlet channel and basin geometries for vortex generation in a gravitational water vortex power plant.

[10] Fang, F. M., Chen, J. C., & Hong, Y. T. (2001). Experimental and analytical evaluation of flow in a square-to-square wind tunnel contraction. Journal of wind engineering and industrial aerodynamics, 89(3-4), 247-262.

[11] S. McLeod. (2019). What a p-value tells you about statistical significance, simply psychology. Indian Journal of Psychological Medicine, 41(3):210-215.

[12] Whitehead, L. G., Wu, L. Y., & Waters, M. H. L. (1951). Contracting ducts of finite length. Aeronautical Quarterly, 2(4), 254-271.

[13]. Morel, T. (1975). "Comprehensive Design of Axisymmetric Wind Tunnel Contractions." ASME.J. Fluids Eng. June 1975; 97(2): 225–233

[14] Ruiz, A., Sierra, J., Correa, E., Sanín, D. (2023). numerical comparison of Savonius turbine as a rotor for gravitational vortex turbine with standard rotor.

[15] Schiestel, R., Wiley. (2008). Modeling and simulation of Turbulent Flows.