Leading-Edge Vortex Improves Lift in Slow-Flying Bats
Abstract
Staying aloft when hovering and flying slowly is demanding. According to quasi–steady-state aerodynamic theory, slow-flying vertebrates should not be able to generate enough lift to remain aloft. Therefore, unsteady aerodynamic mechanisms to enhance lift production have been proposed. Using digital particle image velocimetry, we showed that a small nectar-feeding bat is able to increase lift by as much as 40% using attached leading-edge vortices (LEVs) during slow forward flight, resulting in a maximum lift coefficient of 4.8. The airflow passing over the LEV reattaches behind the LEV smoothly to the wing, despite the exceptionally large local angles of attack and wing camber. Our results show that the use of unsteady aerodynamic mechanisms in flapping flight is not limited to insects but is also used by larger and heavier animals.
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References and Notes
1
F.-O. Lehmann, Naturwissenschaften91, 101 (2004).
2
Quasi–steady-state wing theory assumes that the forces on a moving wing are equivalent to the sum of the forces on a fixed wing over a sequence of attitudes that track the wing motion. This model neglects acceleration forces and unsteady aerodynamic effects.
3
M. H. Dickinson, F.-O. Lehmann, S. P. Sane, Science284, 1954 (1999).
4
T. Weis-Fogh, J. Exp. Biol.59, 169 (1973).
5
T. Maxworthy, J. Fluid Mech.93, 47 (1979).
6
R. B. Srygley, A. L. R. Thomas, Nature420, 660 (2002).
7
C. Ellington, Philos. Trans. R. Soc. London Ser. B305, 1 (1984).
8
S. Vogel, Life in Moving Fluids (Princeton Univ. Press, Princeton, NJ, 1994).
9
C. P. Ellington, C. van den Berg, A. P. Willmott, A. L. R. Thomas, Nature384, 626 (1996).
10
T. Maxworthy, J. Fluid Mech.587, 471 (2007).
11
M. W. Luttges, in Frontiers in Experimental Fluid Mechanics, M. Gad-El-Hak, Ed. (Springer, Berlin, 1989), pp. 429–456.
12
A. L. R. Thomas, G. K. Taylor, R. B. Srygley, R. L. Nudds, R. J. Bomphrey, J. Exp. Biol.207, 4299 (2004).
13
C. van den Berg, C. P. Ellington, Philos. Trans. R. Soc. London Ser. B352, 329 (1997).
14
R. J. Bomphrey, N. J. Lawson, N. J. Harding, G. K. Taylor, A. L. R. Thomas, J. Exp. Biol.208, 1079 (2005).
15
M. H. Dickinson, K. G. Gotz, J. Exp. Biol.174, 45 (1993).
16
A. Willmott, C. Ellington, J. Exp. Biol.200, 2693 (1997).
17
C. Somps, M. Luttges, Science228, 1326 (1985).
18
U. M. Norberg, in Swimming and Flying in Nature, vol. 2, T. Y.-T. Wu, C. J. Brokaw, C. Brennen, Eds. (Plenum, New York, 1975), pp. 869–881.
19
A. Hedenströmet al., Science316, 894 (2007).
20
D. R. Warrick, B. W. Tobalske, D. R. Powers, Nature435, 1094 (2005).
21
J. J. Videler, E. J. Stamhuis, G. D. E. Povel, Science306, 1960 (2004).
22
See supporting material on Science Online.
23
Re = Ūeffc̄/ν (Ūeff is average effective wing speed, which is the sum of the flight velocity and the wing-flapping velocity; c̄ is the average wing chord length; and ν is the kinematic viscosity of air). Re is the ratio between inertial and viscous aerodynamic forces and is an index of the relative instability of the fluid around an airfoil. The bats operate at a Re range with rather stable aerodynamic characteristics, just below the Re range (104 ≤ Re ≤ 105) where the aerodynamics are notoriously hard to predict and control.
24
St = fA/U∞ (f is wingbeat frequency and A is the tip-to-tip vertical excursion of the wing tip). St is proportional to the ratio of the average wingbeat velocity to the steady forward speed and is an indication of the unsteadiness and efficiency of vortex generation.
25
For an incompressible fluid, the divergence in a planar velocity field is related to the change in out-of-plane flow velocity. When the divergence is positive, the fluid works as a fluid source in the planar velocity field, decreasing the out-of-plane velocity. When it is negative, it is a fluid sink, which increases the out-of-plane velocity.
26
E. V. Laitone, Exp. Fluids23, 405 (1997).
27
J. M. Birch, M. H. Dickinson, Nature412, 729 (2001).
28
J. M. Birch, W. B. Dickson, M. H. Dickinson, J. Exp. Biol.207, 1063 (2004).
29
J. D. Anderson, Fundamentals of Aerodynamics (McGraw-Hill, Singapore, 1991).
30
R. Bomphrey, N. Lawson, G. Taylor, A. Thomas, Exp. Fluids40, 546 (2006).
31
D. A. Read, F. S. Hover, M. S. Triantafyllou, J. Fluids Struct.17, 163 (2003).
32
S. M. Swartz, M. S. Groves, H. D. Kim, W. R. Walsh, J. Zool.239, 357 (1996).
33
We thank R. von Busse and Y. Winter for their support. This work was supported by grants from the Swedish Research Council, the Swedish Foundation for International Cooperation in Research and Higher Education, the Knut and Alice Wallenberg Foundation, the Crafoord Foundation, the Magnus Bergvall Foundation, and the Royal Physiographical Society.
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Science
Volume 319 | Issue 5867
29 February 2008
29 February 2008
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American Association for the Advancement of Science.
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Received: 15 November 2007
Accepted: 17 January 2008
Published in print: 29 February 2008
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