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Responsive Access Small Cargo Affordable Launch (RASCAL ...

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Apparent Flight Mach<br />

4<br />

3.5<br />

3<br />

2.5<br />

2<br />

1.5<br />

1<br />

0.5<br />

MIPCC<br />

off<br />

MIPCC on<br />

0<br />

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5<br />

Actual Flight Mach<br />

Figure 13: Apparent Mach Number Experienced by Turbo Machinery as a Function of Actual Flight<br />

Mach Number[6].<br />

As these figures indicate the MIPCC system engages at Mach 0.9 and continues to<br />

operate throughout the trajectory. At Mach 4 and 88,000 ft the engine performs as if it is<br />

operating at an altitude of 24,000 ft and a Mach number of 1.6.<br />

Unfortunately the MIPCC concept does have drawbacks. First the increased<br />

weight of the oxygen and water carried increases the vehicle size. Also these propellants<br />

have to be stored in separate tanks and therefore further increase the vehicle dry weight.<br />

Also the Isp of the engines cannot be computed from a simple translation of the TBEAT<br />

data. As the tanked water and oxidizer flow rate increases, the Isp of the engine must be<br />

adjusted to account for the additional mass flow. This was accomplished by first<br />

calculating the MIPCC propellant flow rate as a function of SLS fuel flow rate according<br />

to Figure 14. This data was then curve fit so the MIPCC propellant flow rate could be<br />

calculated at every Mach number and altitude. This curve fit was broken up into four<br />

regions two for each type of tanked MIPCC propellant. In three of the four cases a linear<br />

fit produced a good representation of the data, but for the initial water injection profile a<br />

cubic polynomial was used to fit the data. These curve fits are also provided in Figure<br />

16

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