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spring04_pset7 - Massachusetts Institute of Technology...

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Massachusetts Institute of Technology Department of Aeronautics and Astronautics Cambridge, MA 02139 16.03/16.04 Unified Engineering III, IV Spring 2004 Problem Set 7 Name: Due Date: 3/30/04 Time Spent (min) F20 CP2-4 S1 S2 S3 Study Time Announcements: Q3M is on Wednesday, 3/17 at 9am. Q4F is on Wednesday, 3/31 at 9am .
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Unified Engineering Spring 2004 Fluids Problems F20 F20. A small jet engine is to operate in a test facility which consists of a large air reservoir, exhausting through a duct of area A holding the engine. A throat of area A t is behind the engine. a) The engine is to be tested at M = 0 . 6. What must be the ratio A t /A so that this test Mach number is achieved even if p e is near vacuum? Will this test Mach number change as the tank gradually empties? b) If p r = 5 × 10 5 Pa and T r = 300K , what is the minimum p e needed to ensure proper operation at M = 0 . 6 in a) above? c) The throat is now set at A t = 0 . 9 A , and we still have p r = 5 × 10 5 Pa and T r = 300K . What must p e be set to so that a normal shock appears in the straight section downstream of the throat? What is the static temperature just behind the shock? p e r r large reservoir p A A t A T
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CP2-4 The problems in this problem set cover lectures C2, C3, and C4.
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