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various span locations. F<strong>or</strong> simplicity <strong>of</strong> 2-D rendition, 9 points in the oscillat<strong>or</strong>y cycle are<br />

chosen f<strong>or</strong> display <strong>of</strong> the Cp, as shown in Figure 6-23.<br />

Figure 6-24 and Figure 6-25 illustrate a sequence <strong>of</strong> images visualizing the flow computed<br />

f<strong>or</strong> the sinusoidal pitching-motion depicting instantaneous Mach = 1 boundary and v<strong>or</strong>ticity<br />

magnitude iso-surfaces, respectively, col<strong>or</strong>ed by pressure. The AOA is shown as a function <strong>of</strong><br />

time in the lower right-hand c<strong>or</strong>ner in each set <strong>of</strong> images. The left set <strong>of</strong> images, A) and B),<br />

display the 1Hz ±2° Grid0 case results, and the 8Hz ±0.5° Grid9 case results are presented in C)<br />

and D). Each figure’s perspective is from the top <strong>of</strong> the left wing.<br />

It is seen from Figure 6-24 that the Mach=1 iso-surface is maximum in size at the top <strong>of</strong><br />

the oscillation. Throughout the oscillation, the aft extent <strong>of</strong> the upper-surface Mach=1 iso-surface<br />

maintains a mostly constant position on the aft p<strong>or</strong>tion <strong>of</strong> the wing, parallel to the TE. At the<br />

peak <strong>of</strong> the oscillat<strong>or</strong>y cycle, there is a notable break-up <strong>of</strong> the Mach=1 iso-surface along the<br />

wingtip in the 1Hz ±2° case. This result is due to the wingtip v<strong>or</strong>tical structure seen in Figure 6-<br />

25. Evidence <strong>of</strong> the v<strong>or</strong>tices coming <strong>of</strong>f <strong>of</strong> the strake is noticed in the cave-like feature on the<br />

inboard p<strong>or</strong>tion <strong>of</strong> the wing. Upon animation <strong>of</strong> the 1Hz ±2° case, it is revealed that as the<br />

aircraft pitches nose-down, the Mach=1 iso-surface completely wraps around the wingtip at the<br />

LE to the bottom surface <strong>of</strong> the wing and spreads along the LE. A Mach=1 boundary iso-surface<br />

also develops on the lower fuselage <strong>of</strong> the aircraft as the aircraft pitches nose-down and joins the<br />

Mach=1 iso-surface that wraps around the wing. In contrast, the Mach=1 iso-surface is not as<br />

large f<strong>or</strong> the 8Hz ±0.5° case, does not spread all the way along the LE to the root <strong>of</strong> the wing,<br />

and does not develop on the fuselage.<br />

Figure 6-25 also displays evidence <strong>of</strong> the strong wing-tip v<strong>or</strong>tices manifesting at the peak<br />

<strong>of</strong> the sinusoidal cycle. Upon animation <strong>of</strong> both the upper and lower wing surfaces, the strake<br />

84

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