2026-06-06T01:52:19Zhttps://riuma.uma.es/rest/oai/requestoai:riuma.uma.es:10630/376092026-02-03T11:20:15Zcom_10630_2254col_10630_37953
RIUMA. Repositorio Institucional de la Universidad de Málaga
author
Durán Venegas, Eduardo
author
Le Dizès, Stéphane
author
Eloy, Christophe
2025-02-03T10:08:43Z
2025-02-03T10:08:43Z
2019
Journal of Fluids and Structures, 89, pp.219–231. 2019
https://hdl.handle.net/10630/37609
10.1016/j.jfluidstructs.2019.03.022
A fluid–structure model describing the equilibrium state of a flexible blade rotor with its own wake is derived for various external axial flow conditions. The model is based on three building blocks. The two-dimensional lifting-line theory is first used to compute the local aerodynamic loads and the blade circulation profile. The blade deformation is then obtained by solving the nonlinear equations for bending and twisting angles deduced from a one-dimensional beam model. Finally, the wake is obtained using a Joukowski model. In this wake model, the wake of each blade is modeled by two small- core-size counter-rotating vortices emitted from the rotor axis and blade tip. The velocity field induced by these vortices is computed using the Biot–Savart law. We show that, in the rotor frame, we can obtain a stationary vortex structure for almost any vertical flight regimes. This wake solution can then be used to compute the induced velocity in the rotor plane and apply the two-dimensional lifting-line theory again. By iterating a few times this loop, we converge toward a nonlinear solution of the problem for which the aerodynamics loads, blade deformation and wake structure are compatible. As illustration, this newly-developed model is applied to two rotors. We analyze the effects of the external wind conditions, geometry and material properties of the blades on the blade deformation and wake characteristics. We show that we can describe slow descending regimes for which the classical momentum theory does not apply.
eng
Movimiento de vórtices
A strongly-coupled model for flexible rotors
journal article
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