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Responsive Access Small Cargo Affordable Launch (RASCAL ...

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14. The new Isp of the MIPCC engine can then be calculated from the fuel flow rate<br />

(TBEAT Isp) and Equation 1.<br />

I<br />

sp<br />

T<br />

= (1)<br />

* *<br />

g(<br />

m fuel + m MIPCC )<br />

The result of this translation is a MIPCC thrust and Isp as a function of flight Mach and<br />

altitude. It should be noted that the percentage of LOX in the MIPCC flow is determined<br />

by oxidation limits of the F-100 turbofans. Therefore an upper limit of 23% of the total<br />

flow of incoming air was set. This percentage of LOX by weight was used since that<br />

approximated the amount of oxygen in standard air.<br />

Percentage of SLS Fuel Flow Rate<br />

0.2<br />

0.18<br />

0.16<br />

0.14<br />

0.12<br />

0.1<br />

0.08<br />

0.06<br />

0.04<br />

0.02<br />

Water Flow Rate<br />

y = 0.1006x 3 - 0.4262x 2 + 0.5975x - 0.264<br />

y = 0.0731x - 0.1185<br />

y = 0.07x - 0.1799<br />

y = 0.043x - 0.0989<br />

LOX Flow Rate<br />

0<br />

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

Actual Flight Mach<br />

Figure 14: MIPCC Propellant Consumption Curve Fits as a Function of SLS Fuel Flow Rate [6].<br />

17

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