To flap, or not to flap? Flapping wings can be more efficient than fixed wings, study shows

Sep 30, 2009 By Lauren Gold
Fluid force (Fx and Fy) and vorticity field (w) during one period of optimized wing motion.

(PhysOrg.com) -- According to a new Cornell study, an optimized flapping wing could actually require 27 percent less power than its optimal steady-flight counterpart at small scales.

In the search for better ways to fly, researchers have long pondered the question: Which is a better system -- the flapping wings of birds and , or the fixed wings of your average 747?

The answer depends on a host of variables, including the size of the object and the type of . If maneuverability is the goal, birds and insects seem to have the advantage. When it comes to efficiency, most aeronautical engineers would agree that the fixed-wing airplane is the smartest design.

But according to a new Cornell study, an optimized flapping could actually require 27 percent less power than its optimal steady-flight counterpart at small scales.

The study, by Jane Wang, professor of theoretical and applied mechanics, and graduate student Umberto Pesavento, is published in the Sept. 11 issue of (103:11).

To find an optimum combination of motion and wing orientation, the researchers analyzed the interactions between a wing and its aerodynamic wake in two dimensions for a group of flapping motions with characteristics similar to those observed in hovering insects, using fruit fly wing dimensions as a model.

Doing such calculations for systems in three dimensions would require many dozens of hours per trial on most computers, which would make it impossible to find an optimum among infinite possibilities, Wang said.

"We wanted to include as much as possible so we don't miss the good solutions, but we can't include everything because it would be impossible," Wang said.

For the fixed-wing scenario, the optimum occurs at a specific angle of attack. Therefore, at first glance, flapping flight would seem less efficient because the wing would necessarily deviate from the optimum condition.

Building on Wang's previous work studying insect flight, the researchers constructed a special family of wing motions that allowed them to optimize a range of parameters, including optimum angle of attack, turning speed, frequency and timing between pitching and flapping for a wing of the same size and with the same amount of weight to support.

The most efficient flapping motion, they found, required significantly less power than the corresponding fixed-wing motion. Unlike a simple sinusoidal, or symmetrical up-and-down flapping motion, which is more commonly studied but much less efficient, the optimized motion holds the wing's angle of attack steady for a longer time near the optimum angle for its fixed counterpart; and also takes advantage of air patterns created as it reverses direction.

The discovery of one instance in which flapping is more efficient than steady flight, Wang said, shows that our intuition about flight efficiency isn't always right, especially when unsteady aerodynamics is at play.

At a more practical level, the study shows the possibility of substantially improving design of flapping flight, which typically has low efficiency, using a trial-and-error approach. "The trial-and-error approach is particularly ineffective for these problems, where poor solutions dominate the landscape and good solutions are few," Wang said.

Provided by Cornell University (news : web)

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User comments : 4

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dunno
4.3 / 5 (4) Sep 30, 2009
Good luck achieving Mach 3 with flapping wings.
AWT
Sep 30, 2009
This comment has been removed by a moderator.
jerryd
not rated yet Oct 01, 2009

The extra weight alone would raise the power needed to stay aloft. Then there is the complexity. No thanks
NotAsleep
not rated yet Oct 01, 2009
Isn't this really old news? I thought they'd proved this in studies a LONG time ago. Or is this just the first time they've applied it to creating aircraft?

Achieving Mach 3 isn't necessarily important. If this could be applied to Vertical Take Off and Landing aircraft (i.e. to replace a plane like the V-22 Osprey or a helicopter) and achieve better overall efficiency, it could have definite applications in low-speed operations. I'd be curious (if and/or when they finally figure out how to make a prototype) if it would be louder or quieter than a prop plane. A big limitation with prop plane speed is that once the tip of the propeller spins too fast, you break the sound barrier and it becomes WAY too loud for practical applications (see http://en.wikiped...creech). Faster than a prop and more efficient than a jet? Sounds pretty neat...
jseale
not rated yet Oct 01, 2009
The issue is whether to propel with a separate system (prop, fanjet, etc.) or use the wing for propulsion by flapping it. In low Reynolds number (low Rn) flight (with insects) achievable wing L/D is low, so thrust must be correspondingly high. One achieves thrust by pushing air back -- a small flow pushed back fast (with a jet or small prop), or a larger flow pushed back slow (with a big prop). The latter leaves less kinetic energy in the wake, favoring increasing prop size, until the prop's own size and friction loss starts to dominate. At low Rn, the wing airfoil is more efficient than a prop airfoil, whose narrower chordwidth implies lower Rn and poorer L/D than the wing. Thus, small scale favors using the wing for both thrust and lift.

3D flapping analysis is feasible (I've done it) using a periodic trailing vortex sheet and Fourier techniques, but the approximations miss some important subtleties of the reported 2D FEA studies. Ah, to combine the two approaches!