Download Theory Of Wing Sections Including A Summary Of Airfoil Data

If the leading-edge cross section is approximated by a single circle or ellipse, the leading-edge cicada wing pitch angle at alpha=0 should be the same as the leading edge of a typical man-made wing and blade airfoil. That is, the leading-edge cicada wing pitch angle at alpha=0 should be the same as the leading edge of a typical man-made wing and blade airfoil. In fact, the leading-edge cicada wing cross section is slightly larger than that of a man-made wing and blade airfoil (Fig. 3a). This means that the leading-edge cicada wing cross section is slightly smaller than that of the typical man-made wing and blade airfoil.

The cicada wing membrane, however, is quite different from the rainbow trout or snail body wall. The cicada wing membrane is not thick and shows a slight curvature at the leading edge (Fig. 3a). The cicada wing leading-edge cross section should be somewhat similar to the rainbow trout or snail leading-edge cross section. The shape of the leading edge of the typical man-made wing and blade airfoils is usually a simple smooth curved cross section without its tip (Fig. 3a). In contrast, the leading-edge cross section of the cicada wing membrane tends to be complex (Fig. 3a).

When the leading edge is curved, the leading-edge cross section is likely to be influenced by the curvature of the wing membrane. The influence of the curvature of the wing membrane on the wing leading-edge cross section can be estimated by assuming that the leading edge of the wing membrane could be approximated by a single circle or ellipse. This is a first-order approximation of the cicada wing leading-edge cross section.

When the leading edge is curved and the cicada wing membrane itself is curved as well, the shape of the cicada wing leading-edge cross section is likely a response to the curvature of the wing membrane. Curved leading-edge cross sections are common in nature. For instance, the front cross section of a rainbow trout is curved (Fig. 3b)39 and that of land snails show curvature in their body wall (Fig. 3c)40,41.

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