Question

1.6 The Space Shuttle Transportation System (SSTS) shown in Fig. E1.5 incorporates three space shuttle main engines (SSME, shown in Fig. E1.6) using liquid hydrogen (L.H2) as the fuel and LOX as the oxidizer in a ratio of 1:6. The heating value of LH2 is 51.600 Btu/lh (120 MJ/kg). The thrust produced by each engine in near-vacuum conditions of the upper atmosphere is 512,000 Ibs (2.28 MN) at a specific impulse of 454 s. The typical burn time for the engines is 8.5 min. Determine the following: (a) effective exhaust velocity of the engine, (b) weight flow rate of fuel and of oxidizer for the engine, (c) total weight of the fuel and oxidizer required for the cluster of three engines, (d) volume for the fuel and oxidizer tanks (e) length of the fuel and oxidizer tanks, assuming they are cylinders equal to the (46.9 m) long space shuttle external tank, and () overall efficiency no at a flight speed of 6000 fps (1.83 km/s) Poent Feed Presoraton Lines Liquid Hydrogen Tan and Fainng Gro Lot Weight 855 600 Pounds 66.000 Pounds Liqd Oxygen L Oygen Maximum 1.361 936 Pounds Lat Hydrogen Maximum 227 841 Pounds 5265 Gallons All Weights Agproximate) Lightweight Extemal Tank FIGURE E1.5 The Space Shuttle Transportation System (SSTS) incorporates the Space Shuttle Orbiter, the large external tank, and two integrated solid rocket boosters

Answer 1