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This investigation reveals how a Joukowski-type foil can achieve unidirectional swimming in a potential flow, suggesting novel approaches for streamlined bodies in aquatic environments.
The dynamic behavior of a Joukowski-type foil undergoing rhythmic bilateral bending in an inviscid fluid is investigated to explore the unidirectional swimming of streamlined bodies performing asymmetric oscillatory deformations in a potential flow without vortex shedding. To this end, the velocity potential induced by the C-shaped bending of the foil is derived through a novel approach to boundary function treatment, and the hydrodynamic loads are subsequently obtained using modified Sedov formulas. The equations of motion for the rhythmic-bending foil reveal that through autonomous control of its own rotation coupled with center-of-mass shift, the foil can achieve unidirectional undulatory translation without transient retrograde motions.
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Zhang et al. (2025) studied this question.
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