RT Journal Article T1 Propulsion of a foil undergoing a flapping undulatory motion from the impulse theory in the linear potential limit. A1 Alaminos-Quesada, Javier A1 Fernández-Feria, Ramón K1 Dinámica de fluidos K1 Aerodinámica AB We derive general analytical expressions for the aerodynamic force and momenton a flapping flexible foil undergoing a prescribed undulatory motion in a two-dimensional, incompressible and linearized potential flow from the vortical impulsetheory. We consider a fairly broad class of foil motion, characterized by ninenon-dimensional parameters in addition to the reduced frequency. Quite simpleanalytical expressions are obtained in the particular case when just a chordwiseflexure mode is superimposed to a pitching or heaving motion of the foil, forwhich the optimal conditions generating a maximum thrust force and a maximumpropulsion efficiency are mapped in terms of the reduced frequency and the relativeamplitude and phase shift of the deflection of the foil. These results are discussedin relation to the optimal conditions for a pitching or heaving rigid foil. The presenttheoretical results are compared with available numerical data for some particularundulatory motions of the flexible foil, with good agreement for small amplitudes ofthe oscillations and sufficiently high Reynolds number. PB Cambridge University Press YR 2020 FD 2020 LK https://hdl.handle.net/10630/38999 UL https://hdl.handle.net/10630/38999 LA eng NO J. Fluid Mech. (2020), vol. 883, A19. NO https://openpolicyfinder.jisc.ac.uk/id/publication/1706 DS RIUMA. Repositorio Institucional de la Universidad de Málaga RD 20 ene 2026