Modulation of leading edge vorticity and aerodynamic forces in flexible flapping wings

In diverse biological flight systems, the leading edge vortex has been implicated as a flow feature of key importance in the generation of flight forces. Unlike fixed wings, flapping wings can translate at higher angles of attack without stalling because their leading edge vorticity is more stable than the corresponding fixed wing case. Hence, the leading edge vorticity has often been suggested as the primary determinant of the high forces generated by flapping wings. To test this hypothesis, it is necessary to modulate the size and strength of the leading edge vorticity independently of the gross kinematics while simultaneously monitoring the forces generated by the wing. In a recent study, we observed that forces generated by wings with flexible trailing margins showed a direct dependence on the flexural stiffness of the wing. Based on that study, we hypothesized that trailing edge flexion directly influences leading edge vorticity, and thereby the magnitude of aerodynamic forces on the flexible flapping wings. To test this hypothesis, we visualized the flows on wings of varying flexural stiffness using a custom 2D digital particle image velocimetry system, while simultaneously monitoring the magnitude of the aerodynamic forces. Our data show that as flexion decreases, the magnitude of the leading edge vorticity increases and enhances aerodynamic forces, thus confirming that the leading edge vortex is indeed a key feature for aerodynamic force generation in flapping flight. The data shown here thus support the hypothesis that camber influences instantaneous aerodynamic forces through modulation of the leading edge vorticity.

[1]  G D E Povel,et al.  Leading-Edge Vortex Lifts Swifts , 2004, Science.

[2]  Andrew M. Mountcastle,et al.  Aerodynamic and functional consequences of wing compliance , 2009 .

[3]  Keiji Kawachi,et al.  Regular Article: A Numerical Study of Undulatory Swimming , 1999 .

[4]  Yuan Lu,et al.  Three-dimensional flow structures and evolution of the leading-edge vortices on a flapping wing , 2008, Journal of Experimental Biology.

[5]  A. Hedenström,et al.  Leading-Edge Vortex Improves Lift in Slow-Flying Bats , 2008, Science.

[6]  Andrew M. Mountcastle,et al.  Aerodynamic and functional consequences of wing compliance , 2010 .

[7]  T. Maxworthy Experiments on the Weis-Fogh mechanism of lift generation by insects in hovering flight. Part 1. Dynamics of the ‘fling’ , 1979, Journal of Fluid Mechanics.

[8]  C. Ellington The Aerodynamics of Hovering Insect Flight. VI. Lift and Power Requirements , 1984 .

[9]  M. Dickinson,et al.  UNSTEADY AERODYNAMIC PERFORMANCE OF MODEL WINGS AT LOW REYNOLDS NUMBERS , 1993 .

[10]  B. Tobalske,et al.  Aerodynamics of the hovering hummingbird , 2005, Nature.

[11]  J. E. Gordon,et al.  Structures: Or Why Things Don't Fall Down , 1978 .

[12]  Adrian L. R. Thomas,et al.  Leading-edge vortices in insect flight , 1996, Nature.

[13]  M. Dickinson,et al.  Force production and flow structure of the leading edge vortex on flapping wings at high and low Reynolds numbers , 2004, Journal of Experimental Biology.

[14]  R. Ramamurti,et al.  A three-dimensional computational study of the aerodynamic mechanisms of insect flight. , 2002, The Journal of experimental biology.

[15]  Sanjay P Sane,et al.  The aerodynamics of insect flight , 2003, Journal of Experimental Biology.

[16]  M. Dickinson,et al.  The control of flight force by a flapping wing: lift and drag production. , 2001, The Journal of experimental biology.

[17]  M H Dickinson,et al.  Leading-Edge Vortices Elevate Lift of Autorotating Plant Seeds , 2009, Science.

[18]  C. Ellington The Aerodynamics of Hovering Insect Flight. III. Kinematics , 1984 .

[19]  M. Dickinson,et al.  Wing rotation and the aerodynamic basis of insect flight. , 1999, Science.

[20]  M. Dickinson,et al.  Spanwise flow and the attachment of the leading-edge vortex on insect wings , 2001, Nature.

[21]  R. B. Srygley,et al.  Unconventional lift-generating mechanisms in free-flying butterflies , 2002, Nature.

[22]  S. Sane,et al.  Aerodynamic effects of flexibility in flapping wings , 2010, Journal of The Royal Society Interface.

[23]  D. Acheson Elementary Fluid Dynamics , 1990 .