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Aerodynamics and Design for Ultra-Low Reynolds Number Flight

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2.2.4 Comparison with Experiment<br />

There are a small number of relevant experiments in the literature that provide a<br />

Chapter 2<br />

reasonable basis <strong>for</strong> comparison with INS2d at the <strong>Reynolds</strong> numbers of interest. One<br />

interesting result of the current work, to be discussed in greater detail in Chapter 3, that<br />

is supported by experiment is an increase in attainable lift coefficient as the <strong>Reynolds</strong><br />

number is reduced. Thom <strong>and</strong> Swart [15] tested a small R.A.F. 6a airfoil model in an oil<br />

channel <strong>and</strong> water channel at <strong>Reynolds</strong> numbers below 2000. They observed large<br />

increases in lift coefficient at fixed angles of attack as the <strong>Reynolds</strong> number was reduced<br />

from 2000 to almost one.<br />

Validation of the computational analyses is difficult due to the almost complete absence<br />

of experimental data at relevant <strong>Reynolds</strong> numbers. The Thom <strong>and</strong> Swart experiment is<br />

based on a 1.24cm chord airfoil with manufacturing deviations from the R.A.F. 6a. This<br />

small test piece was h<strong>and</strong> filed to shape, causing the measured geometry to vary across<br />

the span. An exact validation is not possible due to the unknowns in the section<br />

geometry, but comparison with computations <strong>for</strong> the R.A.F. 6 airfoil with a 256 by 64<br />

grid show reasonable agreement with experiment. No coordinates <strong>for</strong> the R.A.F. 6a<br />

could be located, but the R.A.F. 6 appears to be nearly identical. The results are shown<br />

in Figure 2.3. The <strong>Reynolds</strong> number varies from point to point <strong>and</strong> ranges from Re=650<br />

to Re=810. The computed drag is on average 7.5% lower than experiment, but the trends<br />

in C d with angle of attack agree. Corresponding C l data is only given <strong>for</strong> α=10.0. The<br />

computational result matches the experimental value of C l=0.52 within 3.0%.<br />

13

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