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Survey of Blunt Body Dynamic Stability in Supersonic Flow

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Figure 7. Effect <strong>of</strong> st<strong>in</strong>g length (left) and diameter (right) at M=0.65 [24], adapted from [12]<br />

Investigations <strong>in</strong>to the ciritcal st<strong>in</strong>g diameter for which st<strong>in</strong>g effects are negligable have shown some<br />

contradictory results. Wehrend [12] found <strong>in</strong>sensivity for Mach numbers <strong>of</strong> 1.60 and 1.00 for both flat based and<br />

spherically (“bulbous”) based models. However, at M=0.65 he found the damp<strong>in</strong>g <strong>of</strong> the spherically based model<br />

<strong>in</strong>creased with <strong>in</strong>creas<strong>in</strong>g st<strong>in</strong>g diameter<br />

2. Axial and Transverse St<strong>in</strong>g Effects<br />

With knowledge that the near wake and its effects on the aftbody have a significant <strong>in</strong>fluence on the dynamic<br />

stability characteristics <strong>of</strong> a vehicle, efforts to reposition the forced oscillation st<strong>in</strong>g to elim<strong>in</strong>ate its contributions to<br />

the aftbody pressure field (and thus damp<strong>in</strong>g) have<br />

been. Dayman et al [14] suggest use <strong>of</strong> a transverse<br />

st<strong>in</strong>g (cross<strong>in</strong>g through the center <strong>of</strong> rotation <strong>of</strong> the<br />

vehicle) for Mach numbers greater than 3 or when<br />

study<strong>in</strong>g damp<strong>in</strong>g at high angles <strong>of</strong> oscillation<br />

because the wake <strong>in</strong>terference is “restricted to the<br />

sides <strong>of</strong> the aft portion <strong>of</strong> the model, where<br />

aerodynamic forces <strong>in</strong> the pitch plane are probably<br />

m<strong>in</strong>or” for the class <strong>of</strong> models which were<br />

<strong>in</strong>vestigated. However, they cite earlier work by<br />

Dayman [27] that found significant alteration <strong>of</strong> the<br />

wake geometry for transverse supports as small as<br />

2.5% <strong>of</strong> the model diameter and caution that dynamic<br />

response with a transverse st<strong>in</strong>g is not to be assumed<br />

to be perfectly representative <strong>of</strong> free flight behavior.<br />

Red<strong>in</strong>g and Ericsson [24],[28] compared the pitch<br />

damp<strong>in</strong>g <strong>of</strong> slender, bulbous-based, blunted cones<br />

with transverse and axial st<strong>in</strong>g arrangements and<br />

found vast differences <strong>in</strong> the result<strong>in</strong>g dynamic<br />

response at Mach numbers between 1 and 2 (Fig. 8).<br />

Figure 8. Pitch damp<strong>in</strong>g with axial and transverse st<strong>in</strong>g<br />

arrangements [24],[28]<br />

Aga<strong>in</strong>, the largest discrepancies arise <strong>in</strong> the regime where dynamic stability issues are most critical. Their studies<br />

suggested that the transverse st<strong>in</strong>g arrangement <strong>in</strong>troduced an undamp<strong>in</strong>g effect on the vehicle while the axial st<strong>in</strong>g<br />

improved damp<strong>in</strong>g. They po<strong>in</strong>t to the loads <strong>in</strong>duced by the presence <strong>of</strong> a st<strong>in</strong>g and their convective time lag <strong>in</strong> the<br />

near wake as the source for the <strong>in</strong>terference for both st<strong>in</strong>g configurations (Fig. 9) [24],[28]. Accept<strong>in</strong>g that it will be<br />

8 <strong>of</strong> 27<br />

American Institute <strong>of</strong> Aeronautics and Astronautics

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