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Scaling unsteady load alleviation in airfoils with flexible trailing-edges

Shūji Ōtomo (大友衆示)1,2, Anna M. Young3, Edward D. McCarthy4, and Ignazio Maria Viola2,*

  • *Contact author: i.m.viola@ed.ac.uk

Phys. Rev. Fluids 10, 114102 – Published 24 November, 2025

DOI: https://doi.org/10.1103/6t5l-spq1

Abstract

Unsteady load alleviation is crucial for engineering applications such as tidal turbines. Herein, we present an experimental study into the load alleviation capacities of constant-section airfoils with flexible trailing-edges. The trailing-edge studied here consists of two independent flexible skins, enabling large skin deformations and enhanced load alleviation compared to conventional flexible trailing-edge designs. We test high-amplitude plunging kinematics (up to peak-to-peak amplitude of one chord length) at reduced frequency k=0.2 and Reynolds numbers Re=O(104). To quantify the role of airfoil flexibility, we introduce two Cauchy numbers (Cau and Cav), which normalize the freestream and plunging velocities, respectively. We demonstrate that both the trailing-edge deflection and the resulting lift alleviation scale with these Cauchy numbers provide a fundamental framework for understanding flexible airfoil dynamics. Furthermore, we propose semi-empirical models for unsteady lift alleviation, which agree with our measurements. These findings lay the groundwork for fully predictive low-order models, advancing the design of passively morphing airfoils for efficient load control in unsteady flow environments.

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