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SPORE Mission Design - Georgia Tech SSDL - Georgia Institute of ...

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segment, while the “cool-down” option was used for a 10,000 second cool down period. The surface<br />

temperature was approximated assuming that the re-radiated heat flux is equivalent to the convective<br />

and radiative heating, as shown in Equation 39.<br />

1/4<br />

æ<br />

T surf<br />

= q ö æ<br />

rerad<br />

ç ÷ » q conv<br />

+ q rad<br />

ö<br />

ç ÷<br />

è es ø è es ø<br />

(39)<br />

The surface pressures were estimated using normal shock relationships at the vehicle nose, using the<br />

freestream density and vehicle Mach number. A plot <strong>of</strong> the total stagnation point heat flux for the worst<br />

case heating trajectories, along with the calculated surface temperatures and pressures are shown in<br />

1/4<br />

Figure 42.1U worst case heating trajectories: (a) total stagnation point heat flux, (b) surface<br />

pressure, and (c) surface temperature.<br />

Figure 43.2x2U worst case heating trajectories: (a) total stagnation point heat flux, (b) surface<br />

pressure, and (c) surface temperature.<br />

Figure 42and Figure 43for the 1U and 2x2U vehicle respectively. As one can see, the worst case surface<br />

temperatures correspond to the GTO return trajectory with the worst case heat flux. Therefore, this<br />

assigned temperature and pressure pr<strong>of</strong>ile were used for the 1-D FIAT heat soak back analysis and heat<br />

sink thickness optimization.<br />

The material stack-up used is that described in Section IV: PICA, RTV-560V, Al-6061 forebody<br />

structure, Al-6061 heat sink material, radiative gap (air), and the electronics boxes (Al-6061). For the 1U

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