Aerodynamics of aerofoil sections measured on a free-flying bird

Abstract Birds are adapted to a wide range of flight conditions, from steady fixed-wing glides to high angle of attack manoeuvres involving unsteady separated flows. They naturally control and exploit the transitional Reynolds number regime of Re≈ 105 that is currently of interest in unmanned air vehicle technologies. This article presents a reconstruction of the inner portion of a wing of an eagle in free flight, during a rapid pitch-up manoeuvre at the end of a shallow glide to an elevated perch. Photogrammetric techniques were used to map the identified points on the wing and these were used to fit a mathematical model of the upper and lower surface topography using polynomial regression techniques. The surface model accounts for spanwise twist, spanwise bending, and varying chord distribution, as well as for the shape of the aerofoil. The aerodynamics of the two-dimensional aerofoil sections were analysed using XFOIL and were compared against two technical aerofoils, namely the Selig S1223 and Clark Y aerofoils, at 1×105≤Re≤2×105. The bird aerofoil maintains a robust, near-constant drag coefficient over a wide lift coefficient range.

[1]  M. Selig Summary of low speed airfoil data , 1995 .

[2]  Werner Nachtigall,et al.  Profilmessungen am Taubenflügel , 2004, Zeitschrift für vergleichende Physiologie.

[3]  Dietrich Bilo Flugbiophysik von Kleinvgeln@@@Biophysics of the flight of small birds: II. Kinematik und Aerodynamik des Flgelaufschlages beim Haussperling (Passer domesticus L.)@@@II. Kinematics and aerodynamics of the upstroke of the house sparrow (Passer domesticus L.) , 1971 .

[4]  Richard Shepherd Shevell,et al.  Fundamentals of Flight , 1983 .

[5]  M. Selig,et al.  High-Lift Low Reynolds Number Airfoil Design , 1997 .

[6]  Holger Babinsky,et al.  Low Reynolds Number Aerodynamics of Leading-Edge Flaps , 2012 .

[7]  G. Taylor,et al.  Animal flight dynamics I. Stability in gliding flight. , 2001, Journal of theoretical biology.

[8]  Tianshu Liu,et al.  Avian Wing Geometry and Kinematics , 2006 .

[9]  K. Atkinson Close Range Photogrammetry and Machine Vision , 1996 .

[10]  P. Withers An Aerodynamic Analysis of Bird Wings as Fixed Aerofoils , 1981 .

[11]  W. Nachtigall,et al.  Wing profile data of a free-gliding bird , 2004, Naturwissenschaften.

[12]  M S Genç,et al.  Flow over an aerofoil without and with a leading-edge slat at a transitional Reynolds number , 2009 .

[13]  Adrian L. R. Thomas,et al.  Automatic aeroelastic devices in the wings of a steppe eagle Aquila nipalensis , 2007, Journal of Experimental Biology.

[14]  Adrian L. R. Thomas,et al.  Photogrammetric reconstruction of high-resolution surface topographies and deformable wing kinematics of tethered locusts and free-flying hoverflies , 2009, Journal of The Royal Society Interface.

[15]  J. Marchman Clark-Y airfoil performance at low Reynolds numbers , 1984 .

[16]  Dietrich Bilo,et al.  Flugbiophysik von Kleinvögeln , 1971, Zeitschrift für vergleichende Physiologie.