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First published online September 16, 2005
Journal of Experimental Biology 208, 3785-3804 (2005)
Published by The Company of Biologists 2005
doi: 10.1242/jeb.01852
A computational study of the aerodynamics and forewing-hindwing interaction of a model dragonfly in forward flight
Ministry-of-Education Key Laboratory of Fluid Mechanics, Institute of Fluid Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100083, People's Republic of China
* Author for correspondence (e-mail: m.sun{at}263.net)
Accepted 12 August 2005
The aerodynamics and forewing-hindwing interaction of a model dragonfly in
forward flight are studied, using the method of numerically solving the
Navier-Stokes equations. Available morphological and stroke-kinematic
parameters of dragonfly (Aeshna juncea) are used for the model
dragonfly. Six advance ratios (J; ranging from 0 to 0.75) and, at
each J, four forewing-hindwing phase angle differences
(
d; 180°, 90°, 60° and 0°) are considered.
The mean vertical force and thrust are made to balance the weight and
body-drag, respectively, by adjusting the angles of attack of the wings, so
that the flight could better approximate the real flight.
At hovering and low J (J=0, 0.15), the model dragonfly uses separated flows or leading-edge vortices (LEV) on both the fore- and hindwing downstrokes; at medium J (J=0.30, 0.45), it uses the LEV on the forewing downstroke and attached flow on the hindwing downstroke; at high J (J=0.6, 0.75), it uses attached flows on both fore- and hindwing downstrokes. (The upstrokes are very lightly loaded and, in general, the flows are attached.)
At a given J, at
d=180°, there are two
vertical force peaks in a cycle, one in the first half of the cycle, produced
mainly by the hindwing downstroke, and the other in the second half of the
cycle, produced mainly by the forewing downstroke; at
d=90°, 60° and 0°, the two force peaks merge
into one peak. The vertical force is close to the resultant aerodynamic force
[because the thrust (or body-drag) is much smaller than vertical force (or the
weight)]. 55-65% of the vertical force is contributed by the drag of the
wings.
The forewing-hindwing interaction is detrimental to the vertical force (and
resultant force) generation. At hovering, the interaction reduces the mean
vertical force (and resultant force) by 8-15%, compared with that without
interaction; as J increases, the reduction generally decreases (e.g.
at J=0.6 and
d=90°, it becomes 1.6%). A
possible reason for the detrimental interaction is as follows: each of the
wings produces a mean vertical force coefficient close to half that needed for
weight support, and a downward flow is generated in producing the vertical
force; thus, in general, a wing moves in the downwash-velocity field induced
by the other wing, reducing its aerodynamic forces.
Key words: dragonfly, forward flight, unsteady aerodynamics, forewing-hindwing interaction, Navier-Stokes simulation
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