{ "id": "1810.11170", "version": "v1", "published": "2018-10-26T03:13:08.000Z", "updated": "2018-10-26T03:13:08.000Z", "title": "Scaling Laws for the Propulsive Performance of Three-Dimensional Pitching Propulsors", "authors": [ "Fatma Ayancik", "Qiang Zhong", "Daniel B. Quinn", "Aaron Brandes", "Hilary Bart-Smith", "Keith W. Moored" ], "categories": [ "physics.flu-dyn" ], "abstract": "Scaling laws for the thrust production and energetics of self-propelled or fixed-velocity three-dimensional rigid propulsors undergoing pitching motions are presented. The scaling relations extend the two-dimensional scaling laws presented in Moored & Quinn (2018) by accounting for the added mass of a finite-span propulsor, the downwash/upwash effects from the trailing vortex system of a propulsor, and the elliptical topology of shedding trailing-edge vortices. The novel three-dimensional scaling laws are validated with self-propelled inviscid simulations and fixed-velocity experiments over a range of reduced frequencies, Strouhal numbers and aspect ratios relevant to bio-inspired propulsion. The scaling laws elucidate the dominant flow physics behind the thrust production and energetics of pitching bio-propulsors, and they provide guidance for the design of bio-inspired propulsive systems.", "revisions": [ { "version": "v1", "updated": "2018-10-26T03:13:08.000Z" } ], "analyses": { "keywords": [ "scaling laws", "three-dimensional pitching propulsors", "propulsive performance", "propulsors undergoing pitching motions", "three-dimensional rigid propulsors undergoing" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }