RT Journal Article T1 Joukowski’s wake model for tip-splitting rotors. A1 Castillo Castellanos, Andrés A1 Durán-Venegas, Eduardo A1 Le Dizès, Stéphane K1 Mecánica de fluidos AB The interaction between a tip vortex and a solid surface is responsible for premature structural component fatigue in wind turbines and undesirable noise in helicopter rotors during low speed and descending flight. One noise reduction strategy uses a modified airfoil to split and spread the vorticity in two tip vortices. The present paper aims to provide the wake structure produced by such a rotor for wind turbine and helicopter regimes. We use a filamentary approach, such that vortices are assumed to roll-up quickly to form thin vortex filaments of finite but small size and compute the induced velocity using a cut-o↵ method. The structure of the wake is analyzed in the near- and far-fields separately. It is found to have a dual nature and to be well-described by a twisted vortex pair locally aligned along with a larger helical structure. The linear stability of the far-wake with respect to long-wave displacements is also analyzed. Two kinds of instability modes are obtained associated with a pairing between successive turns of the large helical structure and a pairing between successive turns of the vortex pair. PB IOP Publishing YR 2021 FD 2021 LK https://hdl.handle.net/10630/37579 UL https://hdl.handle.net/10630/37579 LA eng NO Journal of Physics: Conference Series, 1934, 012005. 2021 NO Agence Nationale de la Recherche (Francia, fondos públicos): ANR-17-CE06-0018 Deutsche Forschungsgemeinschaft (Alemania, fondos públicos): 391677260 DS RIUMA. Repositorio Institucional de la Universidad de Málaga RD 22 ene 2026