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
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Chapter 3<br />
3.3 Maximum Section Thickness Effects<br />
The effects of airfoil thickness variations are investigated using uncambered NACA 4-<br />
digit airfoils ranging from 2% to 8% thick in 2% increments. Per<strong>for</strong>mance estimates <strong>for</strong><br />
each section have been computed at Re=6000 <strong>and</strong> Re=2000. Airfoil thickness variations<br />
appear to have two principal per<strong>for</strong>mance effects: a drag penalty, due to the pressure<br />
recovery attributable to increased thickness, as expected, <strong>and</strong> a strong reduction in the<br />
lift curve slope, an unexpected result.<br />
3.3.1 Effect of Thickness on Drag<br />
The variations in drag with section thickness are illustrated by the airfoil drag polars in<br />
Figure 3.7. It is interesting to compare the calculated values with airfoils of the same<br />
family operating at higher <strong>Reynolds</strong> numbers <strong>and</strong> with the theoretical drag of a fully<br />
laminar flat plate. The results of this comparison are shown in Table 3.1. The<br />
experimental data <strong>for</strong> the NACA 4-digit family is taken from Abbot <strong>and</strong> Von Doenhoff<br />
[21] at Re=6 million. Over a practical range of section thickness <strong>and</strong> <strong>for</strong> a fixed<br />
<strong>Reynolds</strong> number, the relationship between maximum thickness <strong>and</strong> the zero lift drag is<br />
well approximated by a linear function <strong>for</strong> this family of airfoils. The effect of thickness<br />
variations on the zero lift drag may be expressed as a reference zero thickness drag <strong>and</strong> a<br />
slope. The theoretical laminar plate drag at comparable <strong>Reynolds</strong> numbers is also<br />
included <strong>for</strong> comparison.<br />
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