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INTRODUCTION
Studies of animal flight have attained a new level of detail over
the last decade, due to a tremendous progress in measurement
techniques and heightened interest in flapping flight among the
academic, military and industrial spheres. This interest is, for the
most part, inspired by the very high maneuverability allowed by
flapping flight compared with conventional propulsion systems.
Initially, the focus was primarily on insect flight (Ellington et al.,
1996; van den Berg and Ellington, 1997; Willmott et al., 1997;
Ellington, 1999). These early studies demonstrated that flow
behavior at the size, speed and flapping frequency of insects is
distinctly different from well-studied aeroplane aerodynamics. For
example, flapping wings possess mechanisms of lift generation
beyond those of fixed wings, such as wake capture, rotational lift
and delayed stall, and these unsteady effects have been found to
provide a substantial portion of the lift during insect flight
(Dickinson et al., 1999; Sane, 2003). Interest in bird and bat flight
has increased significantly over the last few years and with it the
desire to understand vertebrate flight in its full complexity. Beyond
experimental investigations and calculations regarding the wake
pattern and aerodynamic forces (Hedrick et al., 2002; Spedding et
al., 2003; Hedenström et al., 2006; Hedenström et al., 2007; Hubel
et al., 2009), there is an increasing interest in complementary issues,
such as power consumption (Rayner, 1999; Tobalske et al., 2003),
maneuverability (Tobalske et al., 2007; Iriarte-Diaz and Swartz,
2008; Hedrick et al., 2009), kinematics (Hedrick et al., 2004; Riskin
et al., 2008) and wing structure (Swartz et al., 1996; Swartz and
Middleton, 2008), as well as the correlation of the morphological
and physiological conditions, kinematics and generated
aerodynamic forces (Rosen et al., 2004; Swartz et al., 2007;
Tobalske, 2007).
Traditionally, vertebrate flight, unlike insect flight, has been
assumed to exclude unsteady effects due to the much larger
Reynolds number (Re) regime; however, recent work has shown
that leading edge vortices (LEVs) also play a role in lift generation
in the flight of small vertebrates. Well before this was revealed for
in insect flight, LEVs have been known to contribute to lift
generation in technical applications such as delta-winged aeroplanes
operating at much higher Reynolds numbers than any animals.
Contrary to conventional wings, where high angles of attack lead
to stall and decreasing lift generation, these swept wings with a sharp
leading edge take advantage of controlled stall conditions and flow
reattachment on the upper surface (LEV), generating high lift and
drag at high angles of attack (Videler, 2005). Studies on a fixed
model swift wing show that swifts under gliding conditions are
probably capable of developing stable LEV conditions (Videler et
al., 2004). However, additional studies on real wings confirm the
presence of a LEV but contradict additional lift gain (Lentink et al.,
2007) and the direct analogy between LEVs on swept and flapping
wings (Lentink and Dickinson, 2009).
Recent work has shown that LEVs are not limited to swift wings
and gliding conditions. So far they have been observed on flapping
wings of small (<10 g) bats (Muijres et al., 2008) and in
hummingbird flight (Altshuler et al., 2004; Warrick et al., 2005;
Warrick et al., 2009). This raises the question of whether the previous
quasi-steady approach of bird flight might have to be reconsidered.
Comparatively little is known about the influence of unsteady
mechanisms over the wide range of Reynolds numbers and reduced
The Journal of Experimental Biology 213, 1930-1939
© 2010. Published by The Company of Biologists Ltd
doi:10.1242/jeb.040857
The importance of leading edge vortices under simplified flapping flight conditions at
the size scale of birds
Tatjana Y. Hubel* and Cameron Tropea
Fachgebiet Strömungslehre und Aerodynamik, Technische Universität Darmstadt, 64287, Germany
*Author for correspondence at present address: Structure and Motion Laboratory, The Royal Veterinary College, North Mymms, Hatfield,
Hertfordshire AL9 7TA, UK (thubel@rvc.ac.uk)
Accepted 21 February 2010
SUMMARY
Over the last decade, interest in animal flight has grown, in part due to the possible use of flapping propulsion for micro air
vehicles. The importance of unsteady lift-enhancing mechanisms in insect flight has been recognized, but unsteady effects were
generally thought to be absent for the flapping flight of larger animals. Only recently has the existence of LEVs (leading edge
vortices) in small vertebrates such as swifts, small bats and hummingbirds been confirmed. To study the relevance of unsteady
effects at the scale of large birds [reduced frequency k between 0.05 and 0.3, k(pfc)/U
; f is wingbeat frequency, U
is free-stream
velocity, and c is the average wing chord], and the consequences of the lack of kinematic and morphological refinements, we
have designed a simplified goose-sized flapping model for wind tunnel testing. The 2-D flow patterns along the wing span were
quantitatively visualized using particle image velocimetry (PIV), and a three-component balance was used to measure the forces
generated by the wings. The flow visualization on the wing showed the appearance of LEVs, which is typically associated with a
delayed stall effect, and the transition into flow separation. Also, the influence of the delayed stall and flow separation was clearly
visible in measurements of instantaneous net force over the wingbeat cycle. Here, we show that, even at reduced frequencies as
low as those of large bird flight, unsteady effects are present and non-negligible and have to be addressed by kinematic and
morphological adaptations.
Key words: leading edge vortex, bird flight, delayed stall.