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February 8, 2026Sci0 citationsOpen Access

From Ancient Aqueducts to Modern Turbines: Exploring the Impact of Nazca-Inspired Spiral Geometry on Gravitational Vortex Turbine Efficiency

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JGJuliana Carvajal GuerraNHNatalia HerreraECE. Chica

Key Points

  • The research aims to enhance the efficiency and stability of gravitational vortex turbines using Nazca-inspired inlet designs.
  • Developed a parametric inlet design based on Nazca puquios for GVTs.
  • Utilized computational fluid dynamics (CFD) and response surface methodology (RSM) for optimization.
  • Conducted a full factorial design analysis to determine optimal inlet configuration.
  • Evaluated efficiencies of two different turbine runner designs in laboratory experiments.
  • Optimal inlet configuration (N=4, θ=13°) achieved a vortex circulation of Γ=1.3459 m²/s.
  • Twisted blades yielded a predicted efficiency of 15.37% while curved blades achieved 17.07% in simulations.
  • Experimental efficiencies were lower, at 8.70% for twisted and 11.61% for curved blades, indicating reduced hydraulic effectiveness.

Abstract

This study investigates an inlet design for a gravitational vortex turbine (GVT), drawing inspiration from the ancient Nazca puquios. The puquios are ingenious subterranean aqueducts constructed by the Nazca culture (c. 100 BC–800 AD) in southern Peru, featuring spiral ojos de agua (water eyes) used to access groundwater and stabilize flow.The primary objective was to enhance vortex stability and overall GVT efficiency under low-head, low-flow operating conditions. A parametric Nazca-type inlet feeding a conical basin was defined by two controlling factors: the number of turns (N) and the inclination angle (θ). The optimal geometry was determined through a 32 full factorial design, computational fluid dynamics (CFD) simulations, and response surface methodology (RSM), with vortex circulation (Γ) serving as the optimization metric. The best-performing inlet configuration (N=4, θ=13∘) yielded Γ=1.3459 m2/s. This circulation level is comparable to that reported for optimized conventional wrap-around inlets at similar flow rates, but uniquely produced a broader and more symmetric vortex structure. Subsequently, two four-bladed runners (one with twisted blades and one with curved cross-flow blades) were evaluated numerically and experimentally using a laboratory-scale prototype operated at a consistent flow rate (Q≈0.00143 m3/s). CFD predicted maximum efficiencies of 15.37% and 17.07% for the twisted and curved runners, respectively, while experimental tests achieved 8.70% and 11.61%, demonstrating similar efficiency(η) versus angular velocity (ω)) characteristics. These results indicate reduced hydraulic effectiveness of the Nazca-inspired geometry for the GVT, with experimental efficiencies below those reported in the literature.

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Cite This Study

Guerra et al. (2026) studied this question.

synapsesocial.com/papers/698828850fc35cd7a884821ehttps://doi.org/10.3390/sci8020034
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