Force production and flow structure of the leading edge vortex on flapping wings at high and low Reynolds numbers

Author:

Birch James M.1,Dickson William B.1,Dickinson Michael H.1

Affiliation:

1. Department of Integrative Biology, University of California,Berkeley, CA 94720, USA

Abstract

SUMMARYThe elevated aerodynamic performance of insects has been attributed in part to the generation and maintenance of a stable region of vorticity known as the leading edge vortex (LEV). One explanation for the stability of the LEV is that spiraling axial flow within the vortex core drains energy into the tip vortex, forming a leading-edge spiral vortex analogous to the flow structure generated by delta wing aircraft. However, whereas spiral flow is a conspicuous feature of flapping wings at Reynolds numbers (Re) of 5000, similar experiments at Re=100 failed to identify a comparable structure. We used a dynamically scaled robot to investigate both the forces and the flows created by a wing undergoing identical motion at Re of∼120 and ∼1400. In both cases, motion at constant angular velocity and fixed angle of attack generated a stable LEV with no evidence of shedding. At Re=1400, flow visualization indicated an intense narrow region of spanwise flow within the core of the LEV, a feature conspicuously absent at Re=120. The results suggest that the transport of vorticity from the leading edge to the wake that permits prolonged vortex attachment takes different forms at different Re.

Publisher

The Company of Biologists

Subject

Insect Science,Molecular Biology,Animal Science and Zoology,Aquatic Science,Physiology,Ecology, Evolution, Behavior and Systematics

Reference28 articles.

1. Berger, S. A. (1996). Vortex. In McGraw-Hill 1997 Yearbook of Science and Technology(ed. S. Parker), pp. 485-487. New York:McGraw-Hill.

2. Birch, J. M. and Dickinson, M. H. (2001). Spanwise flow and the attachment of the leading-edge vortex on insect wings. Nature412,729-733.

3. Birth, J. M. and Dickinson, M. H. (2003). The influence of wing–wake interactions on the production of aerodynamic forces in flapping flight. J. Exp. Biol.206,2257-2272.

4. Brodsky, A. K. (1991). Vortex formation in the tethered flight of the peacock butterfly Inachis io (Lepidoptera,Nymphalidae) and some aspects of insect flight evolution. J. Exp. Biol.161,77-95.

5. Dickinson, M. H. and Götz, K. G. (1993). Unsteady aerodynamic performance on model wings at low Reynolds numbers. J. Exp. Biol.174,45-64.

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