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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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