Aerodynamics and Design for Ultra-Low Reynolds Number Flight
Aerodynamics and Design for Ultra-Low Reynolds Number Flight
Aerodynamics and Design for Ultra-Low Reynolds Number Flight
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
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