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Aerodynamics and Design for Ultra-Low Reynolds Number Flight

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FIGURE 3.10 NACA 0002 <strong>and</strong> NACA 0008 boundary layer development at Re=6000.<br />

Chapter 3<br />

A second effect of increasing thickness is a more rapid reduction in the lift curve slope<br />

once past the quasi-linear lift range, attributable to earlier <strong>and</strong> more severe trailing edge<br />

separation. The NACA 0002 is fully attached up to stall, however the NACA 0008 is<br />

not, as presented in Figure 3.5. Figure 3.5 begins at α=2.0, the edge of the quasi-linear<br />

range. The flow is almost fully attached at α=2.0, with visible trailing edge separation at<br />

95% chord, but by α=3.0 there is significant separation at 75% chord. This moves to<br />

60% at α=4.0. These separated regions result in a large displacement of the flow within<br />

the aft boundary layer, increasing the decambering effect <strong>and</strong> resulting in larger<br />

reductions in the lift curve slope compared to the fully attached NACA 0002.<br />

3.4 Effect of Camber<br />

The boundary-layer decambering effect just described suggests that the introduction of<br />

camber may offer the potential <strong>for</strong> significant per<strong>for</strong>mance gains over a simple flat plate.<br />

The effects of camber do not differ significantly from those at much higher <strong>Reynolds</strong><br />

numbers, but the fact that the detailed geometry is still an effective driver of per<strong>for</strong>mance<br />

at such low <strong>Reynolds</strong> numbers is itself a useful conclusion.<br />

α = 4 deg.<br />

0 deg. 2 deg.<br />

α = 4 deg.<br />

0 deg.<br />

2 deg.<br />

A comparison of the NACA 0002 <strong>and</strong> NACA 4402 airfoils indicates the gross effects of<br />

camber on per<strong>for</strong>mance. Lift curves <strong>and</strong> drag polars are provided <strong>for</strong> Re=1000,<br />

Re=2000, <strong>and</strong> Re=6000 in Figures 3.11 <strong>and</strong> 3.12. As at higher <strong>Reynolds</strong> numbers, the<br />

first order effect on the lift curve is a translation towards lower zero lift angles of attack<br />

35

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