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October 2000 Newsletter - Naval Postgraduate School

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FEATURED PROJECT<br />

MICRO-AIR VEHICLE AERODYNAMICS, continued from page 44<br />

motion rather than a single degree of freedom pitch or plunge motion. This<br />

expands the parameter space considerably. In addition to the pitch and plunge<br />

amplitudes one now has to consider the phase angle between the pitch and plunge<br />

motions. It is important to realize that the key parameter for determining whether<br />

an airfoil generates thrust or extracts power from a flow is the effective angle of<br />

attack, as illustrated in Figure 7. Cases (a) and (b) represent the pure plunge and<br />

pitch modes. Case (c) is the neutral case (pure feathering) between thrust generation<br />

and power extraction. A negative effective angle of attack (relative to the<br />

flight path) leads to thrust generation, case (d), a positive angle to power extraction,<br />

case (e).<br />

Interference Effects<br />

As already mentioned, Schmidt (1965) sought to develop an efficient flapping foil<br />

propeller by exploiting the interference<br />

effect between a flapping<br />

fore-wing and a non-flapping<br />

hind-wing. The stationary hindwing<br />

is exposed to an oscillatory<br />

flow and therefore can exploit the<br />

Katzmayr effect, i.e., convert the<br />

vortical energy generated by the<br />

Figure 8: Numerical and experimental<br />

configurations.<br />

either a pure plunge mode or a combined pitch/plunge mode<br />

with the optional mounting of two stationary hind-wings as<br />

shown in Figure 8d.<br />

The Flapping-Wing Micro-Air Vehicle<br />

As a result of the experimental and computational investigations<br />

performed on the tandem configuration (Figure 8b) and the<br />

biplane configuration (Figure 8c), we have concluded that the<br />

latter configuration is the most promising one. Therefore, we have<br />

adopted the modification, shown in Figure 8e, for mechanical<br />

--continued on page 46<br />

Figure 7: Effective versus geometric<br />

AoA.<br />

flapping fore-wing into additional thrust. Two arrangements are of greatest<br />

interest, namely the tandem and the biplane arrangement, shown as Figures 8b<br />

and 8c, respectively. Visit www.aa.nps.navy.mil/~jones/research/unsteady/<br />

panel_methods/anim3/ and www.aa.nps.navy.mil/~jones/research/unsteady/<br />

panel_methods/anim2/ to see animated simulations of these configurations.<br />

The latter arrangement is equivalent to a single airfoil oscillating in ground<br />

effect provided the oscillation of the two airfoils in the biplane arrangement<br />

occurs in counter-phase. We performed a detailed computational and experimental<br />

investigation of both arrangements. To this end the model shown in<br />

Figure 9 was built<br />

and tested which<br />

allowed the<br />

flapping of the<br />

two fore-wings in<br />

Figure 9: Isometric view of the large model.<br />

NPS Research page 45<br />

<strong>October</strong> <strong>2000</strong>

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