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Aerodynamics and Design for Ultra-Low Reynolds Number Flight

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x/R<br />

0.4<br />

0.2<br />

0.0<br />

-0.2<br />

Chapter 6<br />

FIGURE 6.46 Blade plan<strong>for</strong>ms obtained by applying the rapid design tool with two different wake<br />

models in conjunction with the angular momentum swirl correction.<br />

The design using the Pr<strong>and</strong>tl tip loss correction has already been described in the<br />

previous section on viscous swirl model effects. As noted earlier, a primary issue with<br />

this wake model is an increased risk of tip stall. The primary observed benefit of the<br />

contracted ring wake model is an increase in tip loading relative to the predicted loading<br />

using the Pr<strong>and</strong>tl tip loss correction. For the design of rotors, this results in a reduction<br />

in the tip incidence angle <strong>and</strong> consequently a reduction in the risk of tip stall. The two-<br />

step method works around the plan<strong>for</strong>m issues of a pure contracted ring design, but still<br />

benefits from the change in tip loading. The reduction in incidence is clearly visible in<br />

Figure 6.47.<br />

Contracted Ring<br />

Two-Step Method<br />

-0.4<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

r/R<br />

145

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