{ "id": "2211.13369", "version": "v1", "published": "2022-11-24T01:27:02.000Z", "updated": "2022-11-24T01:27:02.000Z", "title": "Propulsive performance of oscillating plates with time-periodic flexibility", "authors": [ "David Yudin", "Daniel Floryan", "Tyler Van Buren" ], "comment": "31 pages, 12 figures", "categories": [ "physics.flu-dyn" ], "abstract": "We use small-amplitude inviscid theory to study the swimming performance of a flexible flapping plate with time-varying flexibility. The stiffness of the plate oscillates at twice the frequency of the kinematics in order to maintain a symmetric motion. Plates with constant and time-periodic stiffness are compared over a range of mean plate stiffness, oscillating stiffness amplitude, and oscillating stiffness phase for isolated heaving, isolated pitching, and combined leading edge kinematics. We find that there is a profound impact of oscillating stiffness on the thrust, with a lesser impact on propulsive efficiency. Thrust improvements of up to 35% relative to a constant-stiffness plate are observed. For large enough frequencies and amplitudes of the stiffness oscillation, instabilities emerge. The unstable regions may confer enhanced propulsive performance; this hypothesis must be verified via experiments or nonlinear simulations.", "revisions": [ { "version": "v1", "updated": "2022-11-24T01:27:02.000Z" } ], "analyses": { "keywords": [ "propulsive performance", "time-periodic flexibility", "oscillating plates", "mean plate stiffness", "small-amplitude inviscid theory" ], "note": { "typesetting": "TeX", "pages": 31, "language": "en", "license": "arXiv", "status": "editable" } } }