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Scaling Analysis of the Swirling Wake of a Porous Disc: Application to Wind Turbines

2024/06/12 by Ernesto Fuentes Noriega, Noriega, Ernesto Fuentes, Nicolas Mazellier +1
Engineering · #Aerodynamics and Fluid Dynamics Research #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Vibration Analysis #Vibration and Dynamic Analysis

paper · pdf · doi:10.48550/arxiv.2406.08667

openalex publication_date 2024/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We report a comprehensive study of the wake of a porous disc, the design of which has been modified to incorporate a swirling motion at an inexpensive cost. The swirl intensity is passively controlled by varying the internal disc geometry, i.e. the pitch angle of the blades. A swirl number is introduced to characterise the competition between the linear (drag) and the azimuthal (swirl) momentums on the wake recovery. Assuming that swirl dominates the near wake and non-equilibrium turbulence theory applies, new scaling laws of the mean wake properties are derived. To assess these theoretical predictions, an in-depth analysis of the aerodynamics of these original porous discs has been conducted experimentally. It is found that at the early stage of wake recovery, the swirling motion induces a low-pressure core, which controls the mean velocity deficit properties. The measurements collected in the swirling wake of the porous discs support the new scaling laws proposed in this work. Finally, it is shown that, as far as swirl is injected in the wake, the characteristics of the mean velocity deficit profiles match very well those of both lab-scale and real-scale wind turbine data extracted from the literature. Overall, our results emphasise that by setting the initial conditions of the wake recovery, swirl is a key ingredient to be taken into account in order to faithfully replicate the mean wake of wind turbines.

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